Translate the phrase into a mathematical expression and then evaluate it. Four squared divided by two cubed.

Answers

Answer 1

Answer: As an expression, it is 4² ÷ 2³. The answer to the expression is 2.

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At a cost of $2.50 per square yard, what would be the price of carpeting a rectangular ﬂoor, 18 ft x 24 ft?

Answers

Answer is: $120

(18ft x 24ft) = 432 square feet

1 yard = 3 feet
1 square yard = (1yd * 1yd) =(3ft * 3ft) = 9 square feet

(432 ft^2)/(9 ft^2 per yard) = 48 square yards

(48 square yards)*($2.50 per yard) = $120

1+csc(t) / 1+sin(t)
I have to make it into a single trig function

Answers

Consider this:
csc t=1/sin t

(1+ csc t) / (1+ sin t)=[1+(1/sin t)] / (1+sin t)=[(sin t+1)/sin t] / (1+sin t)=
=1/sin t= csc t.

Answer: (1+csc t) / (1+sin t)=csc t

The sum of 5 consecutive even numbers is 310. What is the third number in this sequence?

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A simple way to solve for consecutive numbers is to divide the sum number by the number of numbers needed. So 310 ÷ 5, which equals 62. That is the middle consecutive number.

To find the other 4 numbers, since they are all even, sinply add 2 to the middle number to find one, add 2 to that to find another, subtract 2 from the middle number to fine the third, and subtract 2 from that to find the final one.

62 + 2 = 64
64 + 2 = 66
62 - 2 = 60
60 - 2 = 58

so your numbers are 58, 60, 62, 52, and 66. Together they add up to 310.

(I may have done this a non-standard way, bit it was the way that made the most sense in my head.)

Please give an accurate answer and show work.

Answers

Answer:

3.06

Step-by-step explanation:

$\log_(5)((2)/(3)x-2)+2=0\n\n\log_(5)((2)/(3)x-2)=-2\n\n$

This means that 5 to the power of -2 is $((2)/(3)x-2)$ , meaning that:

$(2)/(3)x-2=5^(-2)=(1)/(25) \n\n(2)/(3)x=(51)/(25) \n\n2x=(153)/(25) \n\nx=(153)/(50)=3.06$

Hope this helps!

The students in Sam’s school voted for their favorite subject. Sam displayed the results in the cirlce graph shown.Which statements are true about the data in the graph? Check all that apply.

A circle graph titled Favorite Subject. Math is 24 percent, language arts is 20 percent, science is 18 percent, social studies is 16 percent, art is 14 percent, and other is 8 percent.

If 100 students were surveyed, 34 would choose math as their favorite subject.
If 200 students were surveyed, 28 would choose art as their favorite subject.
If 400 students were surveyed, 64 would chose social studies as their favorite subject.
If 100 students were surveyed, 38 would choose science as their favorite subject.
If 200 students were surveyed, more than half would choose science or social studies as their favorite subject.

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Answer:

Step-by-step explanation:

Which equation can be used to find one multiple of 16?

Answers

m(n)=16n where n is a natural number
m(n)=multipules of 16

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