MATHEMATICS COLLEGE

Which expression is equivalent to (m2p–2r7)(m–5p4r2)?

Answers

Answer 1
Answer:

Answer:

=(m2p+−2r7)(m+−5p4r2)

=(m2p)(m)+(m2p)(−5p4r2)+(−2r7)(m)+(−2r7)(−5p4r2)

=m3p−5m2p5r2−2mr7+10p4r9

=10p4r9−5m2p5r2−2mr7+m3p

Step-by-step explanation:

:D

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A. 35/12B. 12/37C. 12/35D. 35/37
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A circle with a diameter of 36 inches is shown.circle with diameter of 36 inches

What is the area of the circle using π = 3.14?

113.04 in2
452.16 in2
1,017.36 in2
4,069.44 in2

Answers

Answer:

1017.36 in²

Step-by-step explanation:

Information we need to know:

Radius = diameter ÷ 2

Area of circle = πr²

1) Find the radius of the circle

We have to make sure the we are using the radius of the circle instead of the diameter as the formula using the value of r. If we were to use the diameter our answer would be wrong.

  • 36 ÷ 2 = 18

2) Find the area

To find area we can distribute the numbers given into the formula...

  • 3.14 (π) x 18 (r)² = 1017.36

Hope this helps, have a lovely day! :)
Answer:

A = 1,017.36 in²
The answer is option C

Step by step solved:

The formula to calculate the area of a circle is

A = πr²,

where A is the area and r is the radius of the circle. In this case, the diameter of the circle is given as 36 inches, so the radius is half of that, which is 18 inches.

Using the value of π as 3.14, we can plug in the values and calculate the area as follows:

A = πr²
A = 3.14 x 18²
A = 3.14 x 324
A = 1,017.36 in²

Therefore, the area of the circle with a diameter of 36 inches using π = 3.14 is 1,017.36 in². The answer is option C

A set of data with a mean of 53 and a standard deviation of 2.3 is normally distributed. Find the values that are 3 standard deviations from the mean.

Answers

Answer:A z-score is measured in units of the standard deviation. ... is two, the value 11 is three standard deviations above (or to the right of) the mean. ... The following two videos give a description of what it means to have a data set that is “normally” distributed. ... The z-scores for µ+3σ and µ–3σ are +3 and –3 respectively.

Step-by-step explanation:

Find tan x if sec x = sort 37/6 and sin x <0

Answers

Answer:

  tan(x) = -1/6

Step-by-step explanation:

We can use the relation between tan and sec:

  \displaystyletan(x)=\pm\sqrt{\sec^2{x}-1}\n\ntan(x)=-\sqrt{\left((√(37))/(6)\right)^2-1}\quad\text{negative because sine is negative}\n\n=-\sqrt{(37-36)/(36)}=\boxed{-(1)/(6)}

The tangent of x is -1/6.

Abigail has $400 in her savings account. She wants to keep at least $160 in the account.She withdraws $40 each week for food. Write and solve an inequality to show how many
weeks she can make withdrawals from her account.

Answers

Answer:

400-40x x=6

Step-by-step explanation:

400 in total. minus 40 each week (x)

40 × 6= 240

400-240=160

Explain how you get 608,149 to the nearest thousand place

Answers

Answer:

Step-by-step explanation:

608,000

you go to thousands look next number left and round up or down and the rest after the thousands becomes zeros

Final answer:

608,149 rounded to the nearest thousand is 608,000. The process involved looking at the digit in the hundreds place, determining it was less than 5, and therefore replacing it and all numbers to its right with zeroes.

Explanation:

To round 608,149 to the nearest thousand, you need to look at the digit in the hundreds place. This is the 1 in 608,149. Because 1 is less than 5, you leave the number in the thousands place (the 8 in 608,149) as it is, and change all the numbers to its right (149) in the original number to zeros. So 608,149 rounded to the nearest thousand is 608,000.

Learn more about Rounding Numbers here:

brainly.com/question/19166897

#SPJ3

Given the regular polygon, find the measure of each numbered angle.2

Answers

Weare given a regular figure, and asked for the measure of some indicated angles as shown below:

Notice that this is regolar figure (all sides of the same size) and also that is has 8 sides. Therefore, the central angle (360 degrees) must be divided by 8 to find the measure of angle <1:

angle <1 = 360 / 8 = 45 degrees.

Now, since the little triangles that the polygon is divided into, are all isosceles triangles (have the two sides connected to the center of the polygon, equal, then the other two angles inside each triangle must be equal (let's call them "x").

Now, for each little triangle we use the property that the addition of its internal angles must equal 180 degrees:

<1 + x + x = 180

45 + 2 x = 180

2 x = 180 - 45

2 x = 135

x = 67.5 degrees

Then <1 = 45 degrees , and <2 = 67.5 degrees.
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