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Mathematics

1 answer:

White raven [17]3 years ago

6 0

Answer: second option.

Step-by-step explanation:

Given the transformation $T:(x,y)$ → $(x-5,y+3)$

You must substitute the x-coordinate of the point A (which is $x=2$ ) and the y-coordinate of the point A (which is $y=-1$ ) into $(x-5,y+3)$ to find the x-coordinate and the y-coordinate of the image of the point A.

Therefore, you get that the image of A(2,-1) is the following:

$(x-5,y+3)=(2-5,-1+3)=(-3,2)$

You can observe that this matches with the second option.

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What kind of number is 3 2/3?

makvit [3.9K]

Answer:

Step-by-step explanation:

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3 years ago

You have used the Distributive Property to transform numerical expressions such as (5)(3) + (2)(3) to (5 + 2)(3). How would you

IrinaK [193]

5x + 2x.....combine like terms..... = 7x

5x + 2x....subbing in 1 7x - 1....subbing in 1
5(1) + 2(1) = 5 + 2 = 7 7(1) - 1 = 7 - 1 = 6

5x + 2x...subbing in 2 7x - 1...subbing in 2
5(2) + 2(2) = 10 + 4 = 14 7(2) - 1 = 14 - 1 = 13

5x + 2x...subbing in 3 7x - 1...subbing in 3
5(3) + 2(3) = 15 + 6 = 21 7(3) - 1 = 21 - 1 = 20

5x + 2x...subbing in 4 7x - 1....subbing in 4
5(4) + 2(4) = 20 + 8 = 28 7(4) - 1 = 28 - 1 = 27

5x + 2x...subbing in 5 7x - 1...subbing in 5
5(5) + 2(5) = 25 + 10 = 35 7(5) - 1 = 35 - 1 = 34

5x + 2x result values are 1 more then 7x - 1 result values
there are no values that will make the 2 expressions equal....
because 5x + 2x = 7x......and the other one is 7x - 1......so the 7x - 1 values will always be 1 number less...because ur subtracting one

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3 years ago

. Ms. Johnson, a circus ringleader, made a cake in the shape of a circus tent to use as the centerpiece at a celebration. As sho

Effectus [21]

The formula for the volume of a cylinder is V=πr²h. Substituting the information we have, we get 1470=(3.14)(6²)h
1470=113.04h
Divide both sides by 113.04:
1470/113.04 = 113.04h/113.04
13 ≈ h
The height of the cylinder is 13 inches. We know that the height of the cone is 1/2 the height of the cylinder; 1/2(13) = 6.5 inches. The formula for the volume of a cone is:
V=1/3πr²h
The cone and the cylinder have the same radius, and we now know that the height of the cone is 6.5. Substituting this information in we have:
V=1/3(3.14)(6²)(6.5) = 244.92 in³
The total volume of the cake would be the volume of the cylinder added to the volume of the cone:
1470+244.92 = 1714.92 in³.

The formula for the volume of a sphere, for the ball cake, is
V=4/3πr³. Using the radius of 3 we have:
V=4/3(3.14)(3³)=113.04 for the volume of the circus ball cake.
The formula for the area of the cone-shaped hat cake is V=1/3πr²h. We want it to have the same volume as the circus ball cake, and we know the radius is still 3:
113.04=1/3(3.14)(3²)h
This simplifies to
113.04=9.42h
Divide both sides by 9.42:
113.04/9.42 = 9.42h/9.42
The hat cake would have to have a height of 12 inches to have the same volume.

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3 years ago

A state senator believes that 25% of all senators on the finance committee will strongly support the tax proposal she wishes to

sp2606 [1]

$P(X=x)= nC_xp^x(1-p)^{n-x}$ Number of Senators be n=5
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Let X be the number of Senators will strongly support the tax proposal.
Using Binomial Distribution,
$P(X=x)=nC_xP^x(1-p)^{n-x}$
Now Plug in the values of n and p,
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