Answer:
20x³ -45x
Step-by-step explanation:
The least common multiple of two expressions is the product of their unique factors.
__
4x³ -9x = x(4x² -9) = x(2x -3)(2x +3) . . . . factors of 1st expression
10x² -15x = 5x(2x -3) . . . . . . . . . . . . . . . . factors of 2nd expression
The unique factors are 5, x, (2x -3), and (2x +3). Their product is ...
5(4x³ -9x) = 20x³ -45x . . . . least common multiple
40% of the students ordered a year book there were 400 students.how many students ordered a yearbook.
160 students ordered a yearbook.
Step-by-step explanation:
Batman, cross multiply 400×40 then divide by 100 and you get your answer.
Define fraction (in your own words)
Think back to the last time you needed to use fractions, for example a ruler or measuring tape. Discuss how you used it.
Explain the steps of adding or subtracting unlike fractions. Using a ruler, measure the heights of two different-size cans of food and show how to calculate the difference in heights
A number that is divided by another, like 1 divided by 2 is one half, it is a fraction of a number.
Shane has $15,000 property damage insurance and $4,000 comprehensive and collision insurance with a $500 deductible. He slides on ice and hits a parked car, causing $8,500 worth of damage. The accident causes $6,750 of damage to his own car. How much will the insurance pay to fix both cars?
If the accident causes $6,750 of damage to his own car. The amount that the insurance company will pay to fix both cars is $14,750.
Insurance coverageUsing this formula
Insurance coverage=Total cost of damages-Deductible
Where:
Total cost of damages=($8,500+$6,750)
Deductible=$500
Let plug in the formula
Insurance coverage=($8,500+$6,750)-$500
Insurance coverage=$15,250-$500
Insurance coverage=$14,750
Therefore the amount that the insurance company will pay to fix both cars is $14,750.
Learn more about insurance coverage here:https://brainly.com/question/11776206
How do you find the volume of a sphere? Please use steps to explain.
how do you convert a quadratic equation from standard form into factored form?
Step-by-step explanation:
I’m assuming that you’re asking about quadratic equations, but suffice it to say that the method may even work for polynomials of higher degrees.
Let’s take an example. You have x^2+6x+8.
First, multiply the term in x^2 with the constant; in this case we get 8x^2.Next, break the value in x into two numbers, such that when you add them, the value becomes that of the middle term and when you multiply them, the value becomes that which you have just calculated.
Step 1:
x^2 * 8= 8x^2
Step 2:
(break the middle term)
x^2+4x+2x+8 (notice how 4x when added to 2x gives 6x but when multiplied, gives 8x^2)
Step 3:
(separate the common terms)
x(x+4)+2(x+4)
(x+2)(x+4)
plsssssssssssss helpppppppppppppppppppp
Answer:
I think that it is C
Step-by-step explanation:
Find the surface area of the pyramid.
64in^2
56in^2
88in^2
118in^2
Answer:
To find the surface area of this pyramid, we must find the area of one triangle flap which we then multiply by 4 because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the base(square)'s area. Next, we add all those areas together to get the result of the surface area.
Formula for area of triangle;
A = BH x 1/2
Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.
Plug in what you know, given that the base of one triangle is 4, and the height is 6.
A = 4(6) x 1/2
A = 24 x 1/2
A = 24/2
A = 12, the area of one triangle is 12 inches.
Now, we find the area of all the triangles by multiplying the area of one triangle by 4.
12 = Area of triangle
4 triangles in total, so:
12(4)
= 48 inches is the area of all the triangles.
Now we find the area of the base(square) using the formula;
(vol of square formula)
A = [tex]s^{2}[/tex]
Where 's' represents one side of the square which is being squared.
or
A = l · w
Where 'l' represents the length and 'w' represents the width.
Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).
(I'll be using the formula [tex]s^{2}[/tex])
A = [tex]s^{2}[/tex]
A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)
A = 16, the area of the base(square) is 16 inches.
Now we add both areas together:-
48 + 16
= 64 inches^2 is the surface area, your answer is A.
Angle 1 and angle 2 are supplementary. Angle 2 is 2 times the measurement of angle 1. What is the measurement of the larger angle?
Answer: The larger angle (Angle 2) is 120 degrees
Step-by-step explanation:
Let's call Angle 1 x and call Angle 2 y.
Two angles being supplementary means that they add to 180.
This means x+y=180
Angle 2 is twice the measurement of angle 1.
This means 2x=y and that we can sub 2x in for y
x+2x=180
3x=180
Now solve for x
[tex]3x=180\\\frac{3x}{3} =\frac{180}{3} \\x=60[/tex]
We know the value of x, so now let's sub in to find the value of y
[tex]2x=y\\2(60)=y\\120=y[/tex]
A New England Journal of Medicine study (November 1986) found that a
substantial portion of acute hospital care is reported to be unnecessary. The physicians who conducted
the study reviewed the medical records of 1,132 patients hospitalized at six different locations across
the country. Overall, 60% of admissions in the sample were judged to be appropriate, 23% were
deemed inappropriate, whereas 17% could have been avoided by the use of ambulatory surgery.
Some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.
Amount calculationGiven that a New England Journal of Medicine study found that a substantial portion of acute hospital care is reported to be unnecessary, and the physicians who conducted the study reviewed the medical records of 1,132 patients hospitalized at six different locations across the country, and overall, 60% of admissions in the sample were judged to be appropriate, 23% were deemed inappropriate, whereas 17% could have been avoided by the use of ambulatory surgery, to determine the number of patients in each group, the following calculation should be made:
1132 x 0.6 = A679.2 = A1132 x 0.23 = I260.36 = I1132 x 0.17 = U192.44 = UThus, some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.
Learn more about amount calculations in https://brainly.com/question/14695611
Answer:Some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.
Step-by-step explanation:
The quotient of a number, z, and 21 is 42.
Which equation and value of z represent this relationship?
The relation is given by the equation (z/21) = 42, then the value of the z will be 882.
What is the quotient?The quotient means the separation of something into different parts, sharing of something among different people, places, etc.
The quotient of a number, z, and 21 is 42.
The relation can be given as
[tex]\rm \dfrac{z}{21} = 42[/tex]
Then the value of z will be
[tex]\rm z = 21 \times 42\\\\z = 882[/tex]
More about the quotient link is given below.
https://brainly.com/question/369266
By what percent is 4.5x105 greater than 9x10°?
A) 200%
B) 400%
C) 500%
D) 600%
The answer is C) 500%
NO LINKS!!! Please help me. Part 3
Answer:
ST = 63
HI = 28
IJ = 21
Step-by-step explanation:
Given: RSTUV ~ JFGHI
From inspection of the diagram, the corresponding sides are:
RS~JF
ST~FG
TU~GH
UV~HI
VR~IJ
The only pair of sides that both have side lengths are TU and GH. Therefore, we can use these to figure out the scale factor of dilation.
TU = 72 and GH = 56
⇒ TU/GH = 72/56 = 9/7
Therefore, RSTUV is an enlargement of JFGHI by a scale factor of 9/7
If FG = 49
⇒ ST = 49 × 9/7 = 63
If UV = 36
⇒ HI = 36 ÷ 9/7 = 28
If VR = 27
⇒ IJ = 27 ÷ 9/7 = 21
Answer:
ST = 63, HI = 28, IJ = 21
Step-by-step explanation:
Step 1: Determine the scale
UT = 72 and HG = 56
[tex]72 / 56 = 9/7[/tex]
Step 2: Determine ST
We can determine ST by multipliying GF by 9/7 which will give us the upscaled ratio which will produce ST.
[tex]ST = GF * 9/7[/tex]
[tex]ST = 49 * 9/7[/tex]
[tex]ST = 63[/tex]
Step 3: Determine HI
We can determine ST by dividng VU by 9/7 which will give us the upscaled ratio which will produce ST.
[tex]HI = VU / (9/7)[/tex]
[tex]HI = 36 / (9/7)[/tex]
[tex]HI = 28[/tex]
Step 4: Determine IJ
We can determine IJ by dividng RV by 9/7 which will give us the upscaled ratio which will produce IJ.
[tex]IJ = RV / (9/7)[/tex]
[tex]IJ = 27 / (9/7)[/tex]
[tex]IJ = 21[/tex]
Answer: ST = 63, HI = 28, IJ = 21
Pls answer the top one!
Answer:
15800
Step-by-step explanation:
17600/10 =
1760
17600
-1760
15800
The graph below represents a function.
Which single transformation could be applied to the graph so that it no longer represents a function?
A. reflection across the x-axis
B. reflection across the y-axis
C. translation 5 units to the left
D. rotation of 90° clockwise about the origin
《show your work》
A cargo container is 25 ft long, 10 ft tall, and 12 ft wide. Find its volume in cubic yards.
Round to the nearest hundredth.
The answer is 0.06
Step-by-step explanation:
Finding Volume
25 x 12 = 300
300 x 10 = 3,000
Into Cubic yards
3,000 / 46,656 = 0.06430041152
Nearest hundredth
0.06
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
4) Suppose that rectangle ABCD is dilated to A'B'CD' using the origin as the center and a magnitude of 2
What are the coordinates of C?
A) (8,8)
B) (-8,8)
C) (8,-8)
D) (-8,-8)
Answer: C
Step-by-step explanation: You're Welcome
HELP ASAP PLEASE THIS IS DUE IN AN HOUR
Note: Enter your answer and show all the steps that you use to solve this problem
The table shows how the number of sit-ups Marla does each day has changed over time
how many sit-ups will she do on Day 12? Explain your steps in solving this problem
day 1 - 17
day 2 - 21
day 3 - 25
day 4 - 29
day 5 - 33
Answer:
keep adding four until u reach day twelve
2) The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Compute the mean u.
x. 0. 1. 2. 3. 4
p(x) 0.13. 0.61. 0.15. 0.07. 0.04
The mean of the discrete probability distribution is of 1.28.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Then, considering the given distribution, the mean is given by:
E(X) = 0(0.13) + 1(0.61) + 2(0.15) + 3(0.07) + 4(0.04) = 1.28.
More can be learned about the mean of a discrete probability distribution at https://brainly.com/question/24855677
1) Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?
2) Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?
3) Carmen is trying to decide which jet ski rental plan to use. Plan A charges a one-time fee of $40 and $25 per hour. Plan B charges a one-time fee of $60 and $15 per hour. After how many hours will the plans cost the same?
4) Julie and Wendi purchased cell phones. Julie’s phone cost $50 and she pays $0.35 per minute. Wendi’s phone cost $70 and she pays $0.15 per minute. After how many minutes of use will Julie’s phone cost more than Wendi’s?
5) 78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?
6) 168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?
7) Christina spent $81.25 on books. Comic books cost $2.25 each and novels cost $7.00 each. If she bought 15 books, how many comic books did she buy?
8) Tina bought 8 pieces of clothing for a total of $164. Jeans cost $22 each and shirts cost $18 each. How many shirts did Tina buy?
9) Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?
10) Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?
What you need to do:
Please WRITE both equations for each problem, identify what your variables represent, and solve the system.
I don’t know what to do, so please help me understand by explaining how you got the answer.
I WANT TO LEARN FROM YOU! :)
- Will give BRAINLIEST -
Don’t answer if you are just going to put a link.
Question no.1:
Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?
Solution:
Let the cost of one apple be "y" and the cost of one orange be "x".
Here,
According to question,
8x + 7y = $10.20 5x + 14y = $12.15
=> 5(8x + 7y) = 10.20 × 5 => 8(5x + 14y) = 12.15*8
=> 40x + 35y = 51 -->(i) => 40x + 112y = 97.2-->(ii)
By Elimination method,
Equation (i) - (ii)
(40x + 35y) - (40x + 112y) = 51 - 97.2
=> 40x + 35y - 40x - 112y = - 46.2
=> - 77y = - 46.2
=> y = 46.2/77
=> y = 0.6
Putting the value of "y" in equation (i) we get,
40x + 35y = 51
=> 40x + 35 × 0.6 = 51
=> 40x + 21 = 51
=> 40x = 51 - 21
=> 40x = 30
=> x = 0.75
Therefore the cost of one orange is $0.75 and the cost of one apple is $ 0.6.Question no.2:
Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?
Solution:
Let the cost of a small box be "x" and the cost of a large box be "y".
Here,
According to question,
2x + 5y = $31 4x + 7y = $47
4(2x + 5y) = 31 × 4 2(4x + 7y) = 47 × 2
=> 8x + 20y = 124 ->(i) => 8x + 14y = 94 ->(ii)
By Elimination method,
Equation (i) - (ii)
(8x + 20y) - (8x + 14y) = 124 - 94
=> 8x + 20y - 8x - 14y = 30
=> 6y = 30
=> y = 30/6
=> y = 5
Putting the value of "y" in Equation (ii) we get,
8x + 14y = 94
=> 8x + 14 × 5 = 94
=> 8x + 70 = 94
=> 8x = 94 - 70
=> 8x = 24
=> x = 24/8
=> x = 3
Therefore, the cost of a small box is $3 and the cost of a large box is $5.A right cylinder is sliced perpendicular to it's base. What is the shape of the resulting two dimensional cross section?
Give an example of two different sets of data, in which both box plots have the same range and IQR and yet represent completely different data. Explain.
Answer:
set 1 and 2
Step-by-step explanation:
Set 1 has 10
Set 2 has 13
What is the area of the circle 24m
Answer:
[tex]area = \pi {d}^{2} \\ area = \pi {24}^{2} \\ area = 1808.64[/tex]m^2
my sis needs help asap
Answer:
A. 64.98
Step-by-step explanation:
See the attachment .
_________
Hope it helps ⚜
Please help me I need help
An accounting firm wants to know how many tax payers will wait until the last day to file their taxes. A group of 1000 tax filers were randomly surveyed, revealing that 100 of them said it was likely that they would not file until the last day. Based on this information, a 95% confidence statement indicated that the percentage of tax filers who would file on the last day was estimated to be between 8% and 12% of all tax filers. In this problem, which of the following is the margin of error?
a 1%
b 2%
c 3%
d 4%
If random samples are selected from a population, what happens to the margin of error if the sample size is increased from 100 to 400?
a the margin of error increases
b the margin of error decreases
c the margin of error stays the same
Using confidence interval concepts, it is found that:
The margin of error is of b) 2%.Increasing the sample size, b) the margin of error decreases.What is the margin of error of a confidence interval and how it relates to the sample size?Given a confidence interval with two bounds a and b, the margin of error is half the difference of the two bounds.
So, for an interval that is (8%, 12%), the margin of error is given by:
M = (12 - 8)/2 = 2%.
Which means that for the first question, option B is correct.
Additionally, an increase in the sample size results in a decrease of the margin of error, which means that for the second question, option B is also correct.
More can be learned about confidence interval concepts at https://brainly.com/question/25890103
You took one-third of an hour to walk home. How many minutes did you walk?
(Hint: An hour has 60 minutes.)
minutes
Answer:
20 minutes
Step-by-step explanation:
60÷3=20
Step 1 you divide 60 minutes by 1/3 which is gonna give you 20 mins
20 min
Solution:We know that an hour has 60 minutes.In order to find one-third of a hour, we should divide 60 by 3:60÷3=20 min.So if you took one-third of an hour to walk home, you walked for 20 minutes.Hope it helps.
Do comment if you have any query.
2x +1
d A right-angled triangle is drawn so
that the hypotenuse is twice the
shortest side plus 1 cm, and the other
side is twice the shortest side less 1 cm.
Find the length of the hypotenuse.
2x-1
Hypotenuse = 17cm
Step-by-step explanation:From the question we have that,
It is a right-angled triangleThe shorter side's length is xThe hypotenuse's length is 2x + 1The other side's length is 2x - 1Since this is a right-angled triangle, we can apply the Pythagoras formula:
[tex]H^{2} = C_{1}^{2} + C_{2}^{2}[/tex]
This says that the square of the hypotenuse is the sum of the square of the other sides.
From this, we can replace the variables with the actual values:
[tex](2x + 1)^{2} = (2x - 1)^{2} + x^{2}[/tex]
We can then expand the exponents to have:
[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}[/tex]
We can proceed to isolate x:
[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}\\\\4x^{2} + 4x + 1 = 5x^{2} - 4x + 1\\\\4x^{2} + 4x + 1 - 5x^{2} = - 4x + 1\\\\- x^{2} + 4x + 1 = - 4x + 1\\\\- x^{2} + 4x + 1 + 4x = 1\\\\- x^{2} + 8x + 1 = 1\\\\- x^{2} + 8x = 1 - 1\\\\- x^{2} + 8x = 0\\\\[/tex]
We can now multiply the whole equation by -1 just to have a positive [tex]x^{2}[/tex]:
[tex]x^{2} - 8x = 0[/tex]
And we can now solve it using Bhaskara:
[tex]x = \frac{-b\ \pm \sqrt{b^{2} - 4ac }}{2a}[/tex]
Replacing out values, we've got:
[tex]a = 1\\b = -8\\c = 0\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 4*1*0 }}{2*1}\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 0 }}{2}\\x = \frac{8\ \pm \ 8}{2}\\x = 0\ or\ x = 8[/tex]
Since x can't be 0 because we're talking about a drawn triangle, x can only be 8.
We can then calculate the hypotenuse based on this value:
[tex]Hypotenuse = 2x + 1\\Hypotenuse = 2*8 + 1\\Hypotenuse = 17[/tex]
A search plane carries radar equipment that can detect metal objects (like submarine periscopes or plane wreckage) on the ocean surface up to 15.5 miles away. If the plane completes a circular flight pattern of 471 miles in circumference, how much area will it search?
The area that the considered search plane searches with the given figures is 16957.42 miles² approximately.
How to find the area of a circle?Suppose the circle has radius of 'r' units, then, its area is given as:
[tex]A = \pi \times r^2[/tex] sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units
How are radius and circumference of a circle related?Suppose that a considered circle has:
Circumference = C unitsRadius = r unitsThen, we get:
[tex]C = 2\pi r \: \rm units[/tex]
So, the radar scans the surface of ocean in a circular area with radius of 15.5 miles.
That circular area is itself moved in a circular path (due to circular motion of the plane with 471 miles circumference of the circular path).
The graph given describes the region of scan.
The blue region's area = Outer circle's area - Internal circle's area
The Internal circle has circumference 471 miles, let its radius be 'r' miles, then:
[tex]471 = 2\pi r\\\\r = \dfrac{471}{2\pi} \: \rm miles[/tex]
The outer circle has the radius = internal circle's radius + diameter of the radar circle = [tex]\dfrac{471}{2\pi} + 2(15.5) =\dfrac{471}{2\pi} + 30 \: \rm miles[/tex]
Thus, we get:
Area of internal circle = [tex]\pi r^2 = \pi \times \left( \dfrac{471}{2\pi} \right)^2 \approx 17,653.56 \: \rm miles ^2[/tex]Area of outer circle = [tex]\pi \times \left( \dfrac{471}{2\pi} + 30 \right )^2 \approx 34610.98 \: \rm miles ^2[/tex]Net area which is searched by the search plane ≈ 34610.98 - 17653.56 miles²
Net area which is searched by the search plane ≈ 16957.42 miles²
Thus, the area that the considered search plane searches with the given figures is 16957.42 miles² approximately.
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Please help me :) :)))))))
Answer:
ok the owner is 2..a under score 4
Step-by-step explanation:
or 5,244
Write the following number in scientific notatic
211.000
4.
Write 211,000 in scientific notation
Answer:
Hope this helped and brainliest please
Step-by-step explanation:
Scientific notation is standard form.
To write a number in standard form, we use the format:
a×10^b
where 1 ≤ a < 10
a would be 2.11 in this question.
As we can see the decimal point has move 5 places to be after 2 so our b value will be 5
Our answer will be :
2.11×10^5
Hope this helped and brainliest please
Question 31 of 46
What is the x-intercept of the logarithmic function below? F(x)=log0.6x
Answer:
Option D. all real numbers.
Step-by-step explanation:
The given function is a logarithmic function represented as
f(x) = log0.6x
In this logarithmic function for any value of x > 0 will be the domain and range of the function will be a set all real numbers.
As for any value of x>0 we get a real number if we rewrite a function in the form of an equation
y = log0.6x
Therefore Range will be (-∞ ∞) {y | y ∈ R}