All categories

3 years ago

Expand and evaluate the power.

Mathematics

1 answer:

Alika [10]3 years ago

6 0

Hi there, 2.5 to the third power=2.5*2.5*2.5=15.625, Therefore, the answer is D. 15.625

You might be interested in

What’s the missing factor?

Vesna [10]

The missing factor is 1 5/8

Step-by-step explanation:

Let us consider the missing factor has 'x'

The given expression is 4 1/2 - x = 2 7/8

To find x :

The first step is to bring all the constant terms on on side and x on the other side,

⇒ 4 1/2 - 2 7/8 = x

Now, the numbers are in improper fraction (mixed fraction). So you have to convert them into proper fraction.

To convert the improper fraction 4 1/2 into proper fraction,

Multiply the denominator 2 with 4 and the result 8 is added with the numerator 1.

⇒ 4 1/2 = 9/2.

To convert the improper fraction 2 7/8 into proper fraction,

Multiply the denominator 8 with 2 and the result 16 is added with the numerator 7.

⇒ 2 7/8 = 23/8.

Now replace them in the given expression. The expression becomes as :

⇒ (9/2) - (23/8) = x

Cross multiply 2 and 8,

⇒ (72 - 46) / 16 = x

⇒ 26 / 16 = x

⇒ 13/8 = x

The x value is 13/8. You have to convert it into mixed fraction (since the question is given in the form of mixed fraction).

To convert into mixed fraction,

Divide 13 by 8 and write them in the form of Quotient (Reminder / Divisor).

⇒ 13 ÷ 8

⇒ 1 (quotient)

⇒ 5 (remainder)

The divisor is 8.

Therefore, x = 13/8 can be written as 1 5/8.

The missing factor is 1 5/8.

8 0

3 years ago

Which equation can be used to find the length of Line segment A C? Triangle A B C is shown. Angle A C B is 90 degrees and angle

taurus [48]

Answer:

AC = 10sin(40°)

Explanation:

The diagram representing the question is shown in the attached image

Since the given triangle is a right-angled triangle, we can apply the special trig functions

These functions are as follows:

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

Now, in the given diagram:

θ = 40°

AC is the side opposite to θ

AB = 10 in is the hypotenuse

Based on these givens, we will use the sin(θ) function

Therefore:

$sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)$

5 0

3 years ago

Read 2 more answers

Need help thanks please :)

Nadya [2.5K]

Answer:

$\infty , - \infty$

meaning any number can substitute t and it would be the same answer.

7 0

3 years ago

Sophia wants to take out a loan of $6,000 with interest that compounds monthly. Use the formula A = P(1 + rn)n∗t to find which o

Naddika [18.5K]

Answer:

Step-by-step explanation:

FV = P (1 + r/m)^mn

FV = Future value

P = Present value

R = interest rate

N = number of years

m = number of compounding

a. 6000x (1 + 0.04/12)^24 = 6498.86

b. . 6000x (1 + 0.03/12)^36 =6564.31

c. . 6000x (1 + 0.01/12)^48 = 6244.76

d. . 6000x (1 + 0.05/12)^60 =6630.47

4 0

3 years ago

Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 r

Delvig [45]

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

In point-slope form, the equation is written ...

y -k = m(x -h) . . . . . . . for line with slope m through point (h, k)

If only the slope changes, only the value just outside parentheses changes. When the point is (10, 3) and the new slope is 2, the new equation is ...

y -3 = 2(x -10)

6 0

3 years ago

Read 2 more answers