As a result, none of the suggested solutions are the correct one. The doctor's total capital assets $761,743.
What are assets?
Assets are resources that belong to a person or a business, have value, and can be utilized to make money. Cash, investments, real estate, equipment, and inventory are a few examples of assets.
Assets are split into two groups in accounting: current assets and non-current assets. In contrast to non-current assets, which cannot be turned into cash in a year or less, current assets can be changed into cash in a year or less.
The capital assets of the doctor are:
- $589,674 for the home
- Work equipment owned: $51,797
- Vehicle Cost: $61,182
$59,090 was invested.
The value of all the capital assets owned by the doctor is:
$589,674 + $51,797 + $61,182 + $59,090
value of all the capital assets = **$761,743
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Find the circumference of the object 6mm. Use 3.14 or {22}{7}
The circumference οf the οbject is apprοximately 37.68mm οr 37.71mm, depending οn whether we use 3.14 οr {22}/{7} fοr π.
What is circumference οf a circle?The measurement οf the circle's bοundaries is called as the circumference οr perimeter οf the circle. whereas the circumference οf a circle determines the space it οccupies. The circumference οf a circle is its length when it is οpened up and drawn as a straight line.
Units like cm οr unit m are typically used tο measure it. The circle's radius is cοnsidered while calculating the circumference οf the circle using the fοrmula. As a result, in οrder tο calculate the circle's perimeter, we must knοw the radius οr diameter value.
The fοrmula fοr the circumference οf a circle is:
C = 2πr
where C is the circumference, π is pi (apprοximately equal tο 3.14 οr {22}/{7}), and r is the radius οf the circle.
In this case, the radius οf the οbject is 6mm. Therefοre, we can plug this value intο the fοrmula and use either 3.14 οr {22}/{7} fοr π:
C = 2 × 3.14 × 6mm
C = 37.68mm (rοunded tο twο decimal places)
C = 2 × ({22}/{7}) × 6mm
C = 37.71mm (rοunded tο twο decimal places)
Therefοre, the circumference οf the οbject is apprοximately 37.68mm οr 37.71mm, depending οn whether we use 3.14 οr {22}/{7} fοr π.
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The circumference οf the οbject is apprοximately 37.68mm οr 37.71mm, depending οn whether we use 3.14 οr {22}/{7} fοr π.
What is circumference οf a circle?The measurement οf the circle's bοundaries is called as the circumference οr perimeter οf the circle. whereas the circumference οf a circle determines the space it οccupies. The circumference οf a circle is its length when it is οpened up and drawn as a straight line.
Units like cm οr unit m are typically used tο measure it. The circle's radius is cοnsidered while calculating the circumference οf the circle using the fοrmula. As a result, in οrder tο calculate the circle's perimeter, we must knοw the radius οr diameter value.
The fοrmula fοr the circumference οf a circle is:
C = 2πr
where C is the circumference, π is pi (apprοximately equal tο 3.14 οr {22}/{7}), and r is the radius οf the circle.
In this case, the radius οf the οbject is 6mm. Therefοre, we can plug this value intο the fοrmula and use either 3.14 οr {22}/{7} fοr π:
C = 2 × 3.14 × 6mm
C = 37.68mm (rοunded tο twο decimal places)
C = 2 × ({22}/{7}) × 6mm
C = 37.71mm (rοunded tο twο decimal places)
Therefοre, the circumference οf the οbject is apprοximately 37.68mm οr 37.71mm, depending οn whether we use 3.14 οr {22}/{7} fοr π.
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Complete question:
Find the circumference of the object which has a radius 6mm. Use 3.14 or {22}{7}.
WILL GIVE TRUE 100 POINTS AND BRAINLYEST FOR THE CORRECT ANSWER
Step-by-step explanation:
See image.....as these are definitions, it is self-explanatory:
Find
1-The mid point
2-The slop
3-The length
4 - The equation
Answer:
1, the mid point
The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) can be found using the midpoint formula:
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the given endpoints (4, -4) and (0, 9), we get:
midpoint = ((4 + 0) / 2, (-4 + 9) / 2) = (2, 2.5)
Therefore, the midpoint of the line segment with endpoints (4, -4) and (0, 9) is (2, 2.5).
2, the slope
The slope of the line passing through the points (4, -4) and (0, 9) can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Substituting the given coordinates, we get:
slope = (9 - (-4)) / (0 - 4) = 13 / (-4) = -3.25
Therefore, the slope of the line is -3.25.
3, the length
The length of the line passing through the points (4, -4) and (0, 9) can be found using the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the given coordinates, we get:
distance = sqrt((0 - 4)^2 + (9 - (-4))^2) = sqrt(16 + 169) = sqrt(185)
Therefore, the length of the line is sqrt(185).
4, the equation
The equation of the line passing through the points (4, -4) and (0, 9) can be found using the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is one of the points.
Substituting the given slope and one of the points, we get:
y - (-4) = -3.25(x - 4)
Simplifying, we get:
y + 4 = -3.25x + 13
y = -3.25x + 9
Therefore, the equation of the line passing through the points (4, -4) and (0, 9) is y = -3.25x + 9.
The marked price of a DVD player is $320. if a 15% discount is offered, find the actual selling price of the DVD player
The selling price of the DVD player after a 15% discount is applied can be found as follows:
Discount = 15% of the marked price = (15/100)*$320 = $48
Selling price = Marked price - Discount = $320 - $48 = $272
Therefore, the actual selling price of the DVD player after a 15% discount is $272.
Answer:
$272
Step-by-step explanation:
Formula:
Selling price = Marked price - Discount
We first find the discount by taking 15% off of $320 which is $48
We then insert the Maked price and the Discount into the formula which is:
Selling price = $320 - $48
Selling price = $272
A pizza parlor in Tallahassee sells a pizza with a 16-inch diameter. A pizza parlor in Jaco, Costa Rica, sells a pizza with a 27.8-centimeter diameter.
Part A: How many square inches of pizza is the pizza from Tallahassee? Show every step of your work. (1 point)
Part B: How many square centimeters of pizza is the pizza from Jaco, Costa Rica? Show every step of your work. (1 point)
Part C: If 1 in. = 2.54 cm, which pizza has the larger area? Show every step of your work. (1 point)
Part D: Using the diameter of each pizza, determine the scale factor relationship between the pizzas. (1 point)
A) 64π inches² B) 94.15π inches² C) the pizza from Tallahassee is larger. D) The scale factor relationship between the pizzas is: 1.462
Part A: The diameter of the pizza from Tallahassee is 16 inches, so the radius is 8 inches. The area of the pizza is:
A = πr²
= π(8)²
= 64π inches²
Part B: The diameter of the pizza from Jaco, Costa Rica is 27.8 centimeters. Converting this to inches, we get:
27.8 cm ÷ 2.54 cm/inch = 10.94 inches
The radius is 5.47 inches, so the area of the pizza is:
A = πr²
= π(5.47)²
= 94.15π inches²
Part C: Converting the area of the pizza from Tallahassee to square centimeters, we get:
64π inches² × (2.54 cm/inch)² = 1648.89 centimeters²
The area of the pizza from Jaco, Costa Rica is 94.15π inches² × (2.54 cm/inch)² = 594.85π centimeters². Therefore, the pizza from Tallahassee is larger.
Part D: The scale factor relationship between the pizzas is:
16 inches ÷ 27.8 cm × 2.54 cm/inch = 1.462
This means that the diameter of the pizza from Tallahassee is 1.462 times larger than the diameter of the pizza from Jaco, Costa Rica. Since area is proportional to the square of the diameter (or radius), the area of the pizza from Tallahassee is (1.462)² = 2.14 times larger than the area of the pizza from Jaco, Costa Rica.
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need help on this question :p
Answer:
d= 90 Degrees
e= 97 Degrees
f = 83
Answer:
see belowStep-by-step explanation:
To find:-
The values of e , f and d .Answer:-
We can see that angles e and 97° are vertically opposite angles. So they will be equal as vertically opposite angles are equal .
Hence here ,
→ e = 97°
Secondly e and f form linear pair , and the sum of linear pair is 180° . Hence here ,
→ e + f = 180°
→ 97° + f = 180°
→ f = (180-97)°
→ f = 83°
Same goes with d and 90° . They both form linear pair. So that ,
→ 90° + d = 180°
→ d = 180°-90°
→ d = 90°
These are the required values of the unknown angles.
Help with math problems
The value of the surds are;
11. 12√3 - 16
13. -15√5 + 30
What are surds?Surds are defined as the values in square root that can no longer be further simplified into whole numbers or integers.
From the information given, we have that;
(-2√3 + 2)(√3 - 5)
expand the bracket, we have;
-2√3×√3 + 10√3 + 2√3 -10
-2(3) + 10√3 + 2√3 - 10
expand the bracket
-6 + 10√3 + 2√3 - 10
collect like terms
12√3 - 16
(-2- 3√5)(5 - √5)
expand the bracket
-2(5) + 25 - 15√5 + 3(5)
expand further
-10 + 25 - 15√5 + 15
collect the like terms
-15√5 + 30
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Rectangle ABCD is reflected over the y-axis. What rule shows the input and output of the reflection, and what is the new coordinate of A'? (1 point) Rectangle ABCD is shown. A is at negative 5, 1. B is at negative 5, 3. C is at negative 1, 3. D is at negative 1, 1. Group of answer choices (x, y) → (y, −x); A' is at (1, 5) (x, y) → (−y, x); A' is at (−1, −5) (x, y) → (−x, y); A' is at (5, 1) (x, y) → (−x, −y); A' is at (5, −1)
For rectangle ABCD, the new coordinate of A' is (5,1) and the correct rule is (x, y) → (-x, y).
What exactly is a rectangle?
A rectangle is a four-sided flat shape (quadrilateral) where all four angles are right angles (90 degrees) and opposite sides are parallel and congruent (equal in length). In other words, a rectangle is a parallelogram with all right angles.
Now,
The rule that shows the input and output of reflecting a point over the y-axis is (x, y) → (-x, y). This means that the x-coordinate of the point is negated, while the y-coordinate stays the same.
To find the new coordinate of A', we need to reflect the original point A(-5,1) over the y-axis. Using the rule above, we get:
A' = (-(-5), 1) = (5, 1)
Therefore, the new coordinate of A' is (5,1) and the correct rule is (x, y) → (-x, y).
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Find the probability of getting 2 or 4 or 6 when a dice is rolled
Answer:
The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.
9.47,10.21,10.57,?,12.15 what pattern is it? What will
Be in the blank space
Answer: 10.95
Step-by-step explanation:
To identify the pattern, we need to look at the differences between the given numbers.
The difference between 10.21 and 9.47 is 0.74.
The difference between 10.57 and 10.21 is 0.36.
The difference between 12.15 and 10.57 is 1.58.
We can see that the differences between the numbers are not constant. However, the differences themselves follow a pattern: they are increasing by 0.38 each time.
So, to find the missing number, we can add 0.38 to 10.57:
10.57 + 0.38 = 10.95
Therefore, the missing number is 10.95.
please help i will rate 5 star
Answer:
Step-by-step explanation:
To draw in units, take one box as one unit, so a width of 7 will be 7 boxes from left to right, and a width of 4 will be 3 boxes down.
Answer:
To draw in units, take one box as one unit, so a width of 7 will be 7 boxes from left to right, and a width of 4 will be 3 boxes down.
Step-by-step explanation:
I need the answer this is pre cal
The transformations are:
Vertical shift of 3 units.Vertical dilation of scale factor 2Horizontal shift of 1 unit (assuming the horizontal axis is in units of pi)Which are the transformations applied to the parent sine function?The general sine function is:
y = sin(x)
The first thing we can see, is that the amplitude is not 1 like in the parent sine function, in this case the amplitude goes from the top value to the midline, so it is:
A = 5 - 3 = 2
Then we can write:
y = 2*sin(x)
So this is a vertical dilation of scale factor 2
We also can see the midline is at y = 3 instead of at y = 0, so we have a vertical shift of 3 units up to get.
y = 2sin(x) + 3
Finally, we can see that the function starts decreasing after x = 0, so we have a shift of 1 (the horizontal axis is in units of pi)
y = 2*sin(x + 1) + 3
That is the graphed function.
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You plan to borrow $3825 at 15% annual interest for 4 years. What will your monthly
payment be? Use the formula . Make sure to label each variable. must show work
We can use the formula for the monthly payment of a loan to calculate the amount we need to pay each month:
M = (P * r * (1+r)^n) / ((1+r)^n - 1)
Where:
M = the monthly payment
P = the principal (the amount borrowed)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of months in the loan term (which is the number of years multiplied by 12)
Plugging in the given values, we get:
P = $3825
r = 15% / 12 = 0.0125
n = 4 years * 12 = 48 months
M = ($3825 * 0.0125 * (1+0.0125)^48) / ((1+0.0125)^48 - 1)
M ≈ $94.87
Therefore, the monthly payment will be approximately $94.87.
Match the term with its definition.
Point estimate
Confidence level
Confidence interval
Critical value
Margin of error
A single number estimate of an unknown population parameter.
The probability of observing a result that is at least as extreme as that observed in the sample.
The plausible values for an unknown population parameter based on an observed sample and a confidence level.
The proportion of times a confidence interval will capture the true value of an unknown parameter assuming the estimati
A researcher's opinion regarding the value of an unknown population parameter.
The maximum difference between the single number estimate of an unknown population parameter and the true value o
A value that separate statistics that are likely to occur from those that are unlikely to occur.
Margin of error is the maximum difference between the point estimate of an unknown population parameter and the true value of that parameter.
Point estimate: A single number estimate of an unknown population parameter. This is the value that is calculated based on the data collected from a sample of the population.
Confidence level: The proportion of times a confidence interval will capture the true value of an unknown parameter assuming the estimation process is repeated many times.
Confidence interval: The plausible range of values for an unknown population parameter based on an observed sample and a confidence level. This is calculated based on the point estimate and the margin of error.
Critical value: A value that separates statistics that are likely to occur from those that are unlikely to occur. This value is determined by the level of significance and the degrees of freedom for the statistical test.
Margin of error: The maximum difference between the point estimate of an unknown population parameter and the true value of that parameter. This is calculated based on the level of confidence and the variability in the sample data.
To summarize:
Point estimate is a single number estimate of an unknown population parameter.
Confidence level is the proportion of times a confidence interval will capture the true value of an unknown parameter assuming the estimation process is repeated many times.
Confidence interval is the plausible range of values for an unknown population parameter based on an observed sample and a confidence level.
Critical value is a value that separates statistics that are likely to occur from those that are unlikely to occur.
Margin of error is the maximum difference between the point estimate of an unknown population parameter and the true value of that parameter.
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A cylinder has a height of 8 yards and a radius of 2 yards. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
the volume of the cylinder is approximately 100.48 yards.
[tex] \: \: [/tex]
Volume of a cylinder is:
V = πr²h
where r is the radius of the base, h is the height, and π is approximately 3.14.
Substituting the given values, we get:
V = π(2 yards)²(8 yards)
V = π(4 yards²)(8 yards)
V = 32π yards³
Using the approximation π ≈ 3.14, we get:
V ≈ 100.53 yards³
Therefore, the volume of the cylinder is approximately 100.53 cubic yards rounded to the nearest hundredth.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x= 14
Step-by-step explanation:
103 +47=150
180- 150= 30
30=3x-12
30 + 12 = 42
42=3x
42/3= 14
X = 14
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500. Mark this and return
The answer is failed to estimate number of rock songs on his MP3 player.
What is a MP3 player and how does it work?
It's a compressed digital audio file. A player stores these files on a memory chip so that you can play it back at your leisure. Contains a miniature hard disk drive, which can store huge quantities of data. MP3s usually contain music, but the format is also used for general audio files such as audiobooks and podcasts.
The statements that are true about Josiah's solution are:
He set up a proportion correctly using the information given.
He correctly solved for x, the number of rock songs on his MP3 player.
Therefore, he did not find the average of the number of rock songs in the sample to estimate the number of rock songs on his MP3 player.
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Pythagorean theorem find the length of the leg in the triangle 45, 51
Answer:
68.01
Step-by-step explanation:
let the unknown be y
opposite is 45
adjacent is 51
hypotenuse is ?
=y^2=45^2+51^2
y^2=2025+2601
y^2=4626
y=68.01
Find the probability of exactly three
successes in eight trials of a binomial
experiment in which the probability of
success is 45%.
P(3) = 8C3 (0.45)³ (0.55)8-3
Solve part of the answer.
8C3 = [?]
Answer: 8c3 = 56
the rest of the equation;
P(3) = 56 * (0.45)^3 * (0.55)^5
P(3) = 56 * 0.091125 * 0.05031737
P(3) = 0.257
To express this probability as a percentage, we multiply by 100:
P(3) = 25.7%
25.7% is the final answer (not 8c3)
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
Step-by-step explanation:
slope of a=3
slope of b=(4-2)/(1-0)=2/1=2
slope of c is negative
1. a has the steepest slope.
2. a has the largest y-intercept.
3. c is decreasing.
4.b after 3 weeks,you have 8 as a solution.
A pole that is 3.2 m tall casts a shadow that is 1.59 m long. At the same time, a nearby building casts a shadow that is 44.25 m long. How tall is the building? Round your answer to the nearest meter.
The building is 89 m tall.
What is proportional?
A comparison of two numbers is called a proportion. Two sets of supplied numbers are said to be directly proportional to one another in terms of proportion if they increase or decrease in the same ratio between them.
height of pole : 3.2 m
shadow of pole : 1.59 m
shadow of building : 44.25 m
let the height of building : x m
Now, according to the question:
height of pole/shadow of pole = height of building/shadow of building
Putting values into the equation.
we get, 3.2 / 1.59 = x / 44.25
3.2 × 44.25 = 1.59x
141.6 = 1.59x
∴ x = 141.6/1.59
= 89 m
hence, height of the building is 89 m.
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The measures of the angles of abc are given by the expression in the table
Answer:
∠A=125° and ∠B=35°
Step-by-step explanation:
We know that, by angle sum property of triangles,
∠A +∠B+∠C=180°
⇒ (6x−1)° +20° +(x + 14)°=180°
⇒ 6x−1 +20 +x + 14=180 [Open parenthesis]
⇒7x+33=180
⇒7x=180-33 [Subtracting 33 from both sides]
⇒7x=147
⇒x=21 [Divide 7 from both sides]
Now substitute value of x in the expressions of ∠A and ∠B.
Therefore, ∠A=(6(21)-1)°=(126-1)°=125°
∠B=(21+14)°=35°
please help this assignment is due tonight and i am very bad at math
the length of AC is 5. we can get the answer with the help of Pythagorean theorem in triangle ABC.
what is Pythagorean theorem ?
The Pythagorean theorem is a fundamental concept in geometry that relates to the relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).
In the given question,
In triangle ABC, we have:
angle ABC = 90 degrees (given)
AB = 4 (given)
AD = 3 (given)
Let's call the length of AC "x". We want to find the value of x.
From the given information, we know that BD is the altitude of triangle ABC from vertex B to the side AC. Therefore, the length of BD is equal to the length of AD, which is 3.
Using the Pythagorean theorem in triangle ABD, we can find the length of the hypotenuse AB:
AB² = AD² + BD²
AB² = 3² + 4²
AB² = 9 + 16
AB² = 25
AB = 5
Now, we can use the Pythagorean theorem in triangle ABC to find the length of AC:
AC² = AB² + BC²
AC² = 5² + BC²
But we don't know the length of BC. However, we can use the fact that triangle ABD and triangle ABC are similar. This is because angle ABD is a right angle (from the definition of altitude BD), and angle ABC is a right angle (given), so angle ABD and angle ABC are both right angles. Therefore, the two triangles share angle A and are similar by the AA (angle-angle) similarity criterion.
Since triangles ABD and ABC are similar, we have:
AB/AD = AC/BD
Substituting the known values, we get:
5/3 = x/3
Solving for x, we get:
x = 5
Therefore, the length of AC is 5.
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50 POINTS!!!!
A composite figure is represented in the image. A six-sided composite figure. A vertical line on the left is labeled 4 meters. The base is labeled 9 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 3 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled. What is the total area of the figure?
Answer:
4.6 inches
Step-by-step explanation:
i believe. IM SORRY IF IM WRONG!!
If this portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled. The total area is 45 square meters.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Here, we have,
Since the rectangle has a length of 4 meters and a width of 9 meters we need to find the area of rectangle
Area of rectangle = length × width
Area of rectangle = 4 m × 9 m
Area of rectangle = 36 m^2
Since the triangle has a base of 6 meters (9 meters - 3 meters o) and a height of 3 meters we need to find the Area of triangle
Area of triangle = (1/2) × base × height
Area of triangle = (1/2) × 6 m × 3 m
Area of triangle = 9 m^2
Now let find the total area of the composite figure
Total area = Area of rectangle + Area of triangle
Total area = 36 m^2 + 9 m^2
Total area = 45 m^2
Therefore the total area of the figure is 45 square meters.
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Question 5(Multiple Choice Worth 2 points)
(Rotations MC)
Polygon PSRT is drawn with vertices at P(1, 5), S(1, 0), R(−2, −3), T(−4, 2). Determine the image vertices of P′ if the preimage is rotated 90° counterclockwise.
P′(1, 5)
P′(−1, −5)
P′(5, −1)
P′(−5, 1)
The image vertices of P' if the preimage is rotated 90° counter clockwise is P'(-5,1)
What is image vertices?An image vertex refers to a point in the plane that results from applying a transformation to a given vertex. A transformation is a mathematical operation that changes the position, size, or shape of a figure.
According to question:The image vertices of P' when the preimage polygon PSRT is rotated 90° counter clockwise can be found by applying a transformation to each vertex of the polygon. This transformation involves switching the x- and y-coordinates of each vertex and negating the new y-coordinate.
(x, y) -> (-y, x)
For the vertex P(1, 5), we can apply this transformation to get the image vertex P':
P' = (-5, 1)
Similarly, we can apply the transformation to the other vertices of the polygon:
S(1, 0) -> S'(0, 1)
R(−2, −3) -> R'(3, -2)
T(−4, 2) -> T'(2, 4)
Therefore, the image vertices of P' are P'(-5, 1), S'(0, 1), R'(3, -2), and T'(2, 4).
This means that the rotated polygon has the vertices P', S', R', and T', which form a new polygon that is 90° counter clockwise rotated from the original polygon PSRT.
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The seats available to a baseball game come in four types: bleacher, box, club, and grandstand. There are 12,600 box seats and 5,400 club seats available. According to the graph, what is the total number of seats available?
The total no. of seats available in an baseball game is 450000.
How to find the percentage?
As the total is 100%, grandstand and bleacher's total percentage of seats are 42+18 = 60%.
Remaining 40% are of box and club seats which is equal to 12600 + 5400 = 18000.
So, let's say x is the total no. of seats
[tex]40\%\ of\ x = 18000\\\\x = \frac{18000 \times 100}{40}\\\\x = 450000\ seats[/tex]
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the total number of seats available for the baseball game is 45,000.
how to find the total number of seats available?To find the total number of seats available, we need to know the percentage of seats that are in the bleacher and grandstand sections.
According to the graph, the bleacher seats account for 18% of the total seats, while the grandstand seats account for 42% of the total seats. Based on the information provided, we are aware that there are 12,600 box seats and 5,400 club seats available.
To calculate the total number of seats, we can add up the number of seats in each section and then divide by the percentage of total seats that each section represents:
Total seats = (12,600 + 5,400) / (100% - 18% - 42%)
Total seats = 18,000 / 40%
Total seats = 45,000
Therefore, the total number of seats available for the baseball game is 45,000.
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7. polynomial has zeros
x = -1 mul. 2
x = 3 mul. 1
x = 1 mul. 1
and goes through the
point (2,-18). Write the function in factored form. Remember to find the leading coefficient "a".
“mul” is multiplicity
Answer:
the final factored form of the function is:
f(x) = 6(x+1)^2(x-3)(x-1)
Step-by-step explanation:
To write the function in factored form, we need to use the zeros and their multiplicities.
From the given zeros, we can write:
x = -1 (multiplicity 2) means (x+1)(x+1) = (x+1)^2 = 0
x = 3 (multiplicity 1) means (x-3) = 0
x = 1 (multiplicity 1) means (x-1) = 0
So the factored form of the function is:
f(x) = a(x+1)^2(x-3)(x-1)
To find the value of "a" and satisfy the condition that the function goes through the point (2,-18), we can substitute the given point into the function:
-18 = a(2+1)^2(2-3)(2-1)
-18 = a(-3)
Solving for "a", we get:
a = 6
So the final factored form of the function is:
f(x) = 6(x+1)^2(x-3)(x-1)
Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 12 boxes. It is reasonable to assume that the population is approximately normal.
Construct a 99% confidence interval for the mean weight. Round the answers to at least three decimal places.
Refer to photo.
The 99% confidence interval for the mean weight is 12.61 < μ < 14.15 where μ is the sample mean.
What is confidence interval?A confidence interval is used to represent a range of values that are likely to contain the true population parameter.
In this case, the population parameter we are interested in is the mean weight of boxes of cereal labeled as containing 14 ounces.
The 99% confidence interval for the mean weight can be calculated by first determining the sample mean and standard deviation. The sample mean is 13.38 ounces and the sample standard deviation is 0.33 ounces.
To calculate the 99% confidence interval, we use the t-distribution to find the t-critical value for a sample size of 12 and a confidence level of 99%. The t-critical value for a 99% confidence level is 2.76. The formula for the confidence interval is given by:
μ ± t*√(s/√n)
Where μ is the sample mean, t is the t-critical value, s is the sample standard deviation and n is the sample size.
Therefore, the 99% confidence interval for the mean weight is
13.38 ± 2.76*√(0.33/√12) = 13.38 ± 0.82.
Therefore, the 99% confidence interval for the mean weight is 12.61 < μ < 14.15.
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Solving Problems Using Trigonometric Ratios Solve the trigonometry problems below
If a ramp is 3m high and 10m long. what is the measure of angle formed by the ramp and ground
Answer:
16.7 degrees
Step-by-step explanation:
We can use the tangent ratio of a right triangle to solve this problem.
The tangent of an angle is the ratio of the opposite side to the adjacent side. In this case, the opposite side is the height of the ramp (3m) and the adjacent side is the length of the ramp (10m).
So we have:
tan(theta) = opposite / adjacent
tan(theta) = 3 / 10
To find the angle, we need to take the inverse tangent (or arctangent) of both sides:
theta = arctan(3 / 10)
Using a calculator, we get:
theta ≈ 16.7 degrees
Therefore, the angle formed by the ramp and ground is approximately 16.7 degrees.
pls help i will give 10 points to whoever answers this question correctly.
Answer:
x = [tex]\frac{19}{6}[/tex] or x = [tex]3\frac{1}{6}[/tex]
Hope this helps!
Step-by-step explanation:
x + [tex]\frac{1}{2}[/tex] = [tex]3\frac{2}{3}[/tex], subtract both sides by [tex]\frac{1}{2}[/tex]
x = [tex]\frac{11}{3}[/tex] - [tex]\frac{1}{2}[/tex] : x = [tex]\frac{22}{6}[/tex] - [tex]\frac{3}{6}[/tex] : x = [tex]\frac{19}{6}[/tex] : x = [tex]3\frac{1}{6}[/tex]