Answer: D
Step-by-step explanation: to know symmetry you must draw line from vertices of the figure ad the triangle has 3 vertices so you will draw 3 lines
What is the initial y-value of the function that models the relationship
between the points (3, 0) and (8, 35)
A: -21
B: -11
C: -3/7
D: -2/7
The solution is Option A.
The equation of line is y = 7x - 21 and the initial y value of the function is given by y = -21
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 3 , 0 )
Let the second point be Q = Q ( 8 , 35 )
Now , the slope of the line between the points is given by the formula
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 35 - 0 ) / ( 8 - 3 )
Slope m = 35/5
Slope m = 7
Now , the equation of line is given by the formula ,
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 0 = 7 ( x - 3 )
y = 7x - 21
Now , the initial value of y is calculated when x = 0
So , substituting the value of x = 0 in the equation , we get
y = 7 ( 0 ) - 21
y = -21
Therefore , the initial value of y = -21
Hence , the equation of line is y = 7x - 21
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Find the volume of the cylinder, round your answer to the nearest hundredth.
Answer:
V = 1207
Step-by-step explanation:
Two angles are supplementary. If one measures 125°, what is the measure of the other
angle?
Answer:
55°
Step-by-Step Explanation:
Supplementary Angles means it adds up to 180°.
You can find the measure of the missing angle by doing 180°-125°=55°.
15. Ramesh sells hot dogs at a ball game. He earns $8.50/h, plus $0.35 for each hotdog he sells. a) How much will Ramesh earn in a 4-1 shift if he sells 52 hot dogs?
Answer:
$114.70
Step-by-step explanation:
96.50 for 9 hours
18.20 for hotdogs
PLEASE HELP Evan earned a score of 610 on Exam A that had a mean of 650 and a standard deviation of 40. He is about to take Exam B that has a mean of 600 and a standard deviation of 50. How well must Evan score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
Using z-scores, it is found that he must score 550 on Exam B order to do equivalently well as he did on Exam A.
What is the z-score formula?The z-score of a measure X of a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean.
For Exam A, we have that the parameters are [tex]X = 610, \mu = 650, \sigma = 40[/tex], hence his grade had a z-score given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{610 - 650}{40}[/tex]
[tex]Z = -1[/tex]
In Exam B, with [tex]\mu = 600, \sigma = 50[/tex], we want the grade X with the same z-score of Z = -1, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1 = \frac{X - 600}{50}[/tex]
X - 600 = -50
X = 550.
He must score 550 on Exam B order to do equivalently well as he did on Exam A.
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Pls help!
A spinner is divided into 6 equal sectors labeled with the letters A through F The spinner is spun 30 times. How many times is it expected that a vowel will be spun? O approximately 5 times O approximately 6 times approximately 10 times o approximately 15 times
The spinner illustrates probability, and it is expected that a vowel will be spun approximately 10 times
How to determine the expected number of vowels?In the spinner, we have:
Sections = 6
Vowels = 2 i.e. A and E
The expected number of vowels in 30 spins is:
Expected = Vowels/Sections * 30
This gives
Expected = 2/6* 30
Evaluate the product
Expected = 10
Hence, it is expected that a vowel will be spun approximately 10 times
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Answer:
the answer is 10
Step-by-step explanation:
7(8+4k)+12 = it for bigideas math
Answer:
28k+68 hope this helps!
Step-by-step explanation:
Answer:
68 + 28k
that is to simplify it to solve it is 4*(7k+17)
State the degree and leading coefficient of each polynomial in one variable. If not a polynomial in one variable, explain why.
3x^4+6x^3-x^2+12
Answer:
Step-by-step explanation:
3x^4+6x^3-x^2+1...............
what is the answer to 3 x b?
Answer:
3b
Step-by-step explanation:
unless b stands for something it should be just that
Freddy has a bag of jellybeans which has the following colors to purple one red or yellow three orange what is the probability that freddy will randomly selected purple jellybean eat it then select an orange jellybean
Answer:
Because there are 3 purple and only one orange...
Amy is designing a door wedge for her office. The door wedge makes an angle of 30° with the ground. The slant height of the door wedge from the base to the top is 12 inches. What will be the approximate length of the base of the door wedge?
A. 16.4 inches
B. 9.85 inches
C. 12.21inches
D. 10.39 inches
What is the value of x?
Х
6
8
Answer:
10
Step-by-step explanation:
This is a right triangle. To find the hypotenuse in this right triangle, we can use the pythagorean theorem.
The Pythagorean Theorem states a^2+b^2=c^2.
In this case, we would plug this in and get 6^2+8^2=x^2
Solve, and get 100=x^2, x=10
A cell phone company expects that every 2 out of 25 cell phones will have some form of defect. At this rate, how many cell phones out of 500 will be expected to have a defect?
Answer:
40 phones
Step-by-step explanation:
The company expects that every 2 out of 25 phones will have some form of defect.
In percentage terms, this is:= 2 / 25 * 100%= 8%If there are 500 phones therefore,
the defected phones would still be the same percentage and the actual number would be:= 8 % * 500= 40 phones
A triangle with side lengths of 200 meters, 300 meters, and 250 meters is shown. a surveyor measures the lengths of the sides of a triangular plot of land. what is the measure of the angle of the triangular plot at which the surveyor stands? approximate to the nearest degree. cos–1(0.75) = 41° cos–1(0.125) = 83° cos–1(0.563) = 56° cos–1(0.15) = 89°
The angle of the triangular plot at which the surveyor stands is 83°
What is a triangle?A triangle is a shape with three sides and three angles. From the information given, the sides of the three angles are different, we can say the triangle is a scalene triangle since no sides are equal.
To determine the angle of the triangular plot at which the surveyor stands, we need to use the cosine formula.
Given that:
a = 300 mb = 250 mc = 200 mLet's assume that the angle at which the surveyor stands is ∠A, then:
[tex]\mathbf{a^2= b^2+c^2-2 bc \times Cos A}[/tex]
Making cos A the subject, we have:
[tex]\mathbf{cos \ A = \dfrac{ b^2+c^2-a^2}{2bc}}[/tex]
[tex]\mathbf{cos \ A = \dfrac{ 250^2+200^2-300^2}{2(250 \times 200)}}[/tex]
[tex]\mathbf{cos \ A = 0.125}[/tex]
A = cos⁻¹ (0.125) ≅ 83°
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Answer:
cos–1(0.125) = 83°
Step-by-step explanation:
Mike draws five cards from a standard 52-card deck. What is the probability that he draws a card from at least three of the four suits
Answer:
not answered this question
Can someone please solve this problem for me. I'm kind of confused-
This is probability too-
Step-by-step explanation:
(1)The probability of landing on the color gray ONCE
= 2/7
Since it is spun 35 times, the expected number of times that it lands on a gray will be
(2/7 × 35) = 10 times
(2)The probability of landing on the color black ONCE
= 1/7
Since it is spun 105 times, the expected number of times that it lands on a black will be
(⅐ × 105) = 15 times
The formula is:
Expected value = (Number of spinning)×(probability of landing on a colour)
What is the area, in square inches, of the figure shown here?
A 15 in2
B 22 in2
C 24 in2
D 30 in2
need precalc help with work shown. i’ll give brainliest
Answer:
For 8, the answer is
i) (pi/3) + 2*(pi)*k, k is any integer
ii) -(pi/3) + 2*(pi)*k
MATH HELP AS SOON AS YOU CAN
Answer:
The green box
Step-by-step explanation:
1.26 > 1.026
This is because the tenths value of 1.26 is greater than the tenths value of 1.026.
Answer:
The green box would be your answer.
Step-by-step explanation:
When you look at the decimals place, the Red boxes decimal place has a 0 infront of the 26 making it a smaller decimal.
what is the y-intercept of the line given by the equation y=8x +75?
Answer:
(0, 75)
Step-by-step explanation:
The y-intercept is the y-coordinate of a function when x is equal to 0. In other words, it is the point at which the function crosses the y-axis.
For the equation y = 8x + 75, you plug in x = 0 to get:
y = 8(0) + 75 = 75, meaning that y = 75 when x = 0.
This gives you the y-intercept (0, 75).
Instruction. Read the situation below and answer the following questions.
You have noticed that because of the pandemic, cycling became popular again
as it became one of the means of transportation for many especially those who
lost their jobs and it became a hobby for some. You became a fan of cycling due
to its influence, so you decided to build your own Mountain bike. You have many
choices to make. First, you must choose the color of your bike from 4 colors (red,
blue, orange, black), second is the seat either normal or with extra cushion and
the last is the handlebar if you want to have a straight one or a curve.
Using the fundamental counting principle, count the number of choices you have
in building your mountain bike?
Using the Fundamental Counting Theorem, it is found that you have 16 choices in building your bike.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the color, there are 4 outcomes, hence [tex]n_1 = 4[/tex].For the seat, there are 2 outcomes, hence [tex]n_2 = 2[/tex].For the handebar, there are 2 outcomes, hence [tex]n_3 = 2[/tex].Thus, the total number of choices is given by:
N = 4 x 2 x 2 = 16.
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A 4-column table with 4 rows titled Population Data. Column 1 has entries 4, 5, 9, 15. Column 2 has entries 8, 2, 20, 1. Column 3 has entries 6, 9, 10, 8. Column 4 has entries 10, 8, 1, 2.
If Serena selects 4 samples from the table, which row will give her largest mean?
Which row will give her the smallest mean?
The actual population mean will be between
Answer: Row 3
Row 2
6 and 10
Step-by-step explanation: C B A
Angles 1 and 2 are complementary angles. The measure of angle 1 is 42 degrees, and the measure of angles 2 is (3x) degrees. Find the value of x.
Answer:
Step-by-step explanation: What grade math homework is this?
THIS IS A TEST NEED HELP!!
Each phrase in the table describes two variables which are strongly correlated. Select all phrases that imply correlation without causation.
You cut the board into two pieces: one of the pieces is 10 centimeters long and the other piece is 20 centimeters long. Which piece has the greatest diameter?
Answer:
The same
Step-by-step explanation:
length does not mean anything in terms of diameter
thank you n gimme answer
Answer:
I believe its D
If correct please give brainliest
Step-by-step explanation:
Answer:
C)
Step-by-step explanation:
The first inequality, y ≥ 2x + 1 has no solution below the function since it is greater than OR EQUAL to it. Similarly, the second inequality, y > 1/2x - 1 has no solution at or below the function since it is only GREATER THAN this value.
If we look at the graph of these inequalities, we see that they don't overlap at all in quadrant IV. For that reason, this area of the graph there will have no solution, or empty set.
Hope this helps and God bless!
find the inverse of the function
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
[tex]\stackrel{h(x)}{y}~~ = ~~6\sqrt[3]{2x+5}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~6\sqrt[3]{2y+5}-1} \\\\\\ x+1=6\sqrt[3]{2y+5}\implies \cfrac{x+1}{6}=\sqrt[3]{2y+5}\implies \left( \cfrac{x+1}{6} \right)^3=\left( \sqrt[3]{2y+5} \right)^3[/tex]
[tex]\left( \cfrac{x+1}{6} \right)^3=2y+5\implies \left( \cfrac{x+1}{6} \right)^3-5=2y\implies \cfrac{\left( \frac{x+1}{6} \right)^3-5}{2}=y \\\\\\ \cfrac{\left( \frac{x+1}{6} \right)^3}{2}-\cfrac{5}{2}=y\implies \cfrac{~~ \frac{(x+1)^3}{6^3}~~}{2}-\cfrac{5}{2}=y\implies \cfrac{(x+1)^3}{432}-\cfrac{5}{2}=\stackrel{y}{h^{-1}(x)}[/tex]
PLEASE HELP!! What could be the answer?
Answer:
c. 18[tex]\pi[/tex] cubic inches
Step-by-step explanation:
half sphere's volume:
[tex]V=\frac{2}{3} \pi r^{3}[/tex] r = 6/2 = 3 inches
[tex]V=\frac{2}{3} \pi (3)^{3} =\frac{2}{3}( 27\pi )=\frac{54}{3} \pi =18\pi[/tex]
Hope this helps
help me i forgot how to do this HElp
Answer:
28.27 inches
Step-by-step explanation:
hope this helps :)
Given the function below, find f(-5).
f(x)= (x - 3)² +17
Answer:
81
Step-by-step explanation:
f ( x ) = ( x - 3 )² + 17
To find : f ( - 5 )
f ( - 5 ) = f ( x )
Here,
x = - 5
f ( - 5 ) = ( - 5 - 3 )² + 17
= ( - 8 )² + 17
= 64 + 17
f ( - 5 ) = 81