Multiply. Write your answer in simplest form.
-√2(-2+√5)

Step-by-step explanation:

b^(-2) / ab^(-3)

= 1/a * [b^(-2)/b^(-3)]

= 1/a * b = b/a.

P.S. Law of Indices: a^m / a^n = a^(m-n)

Answer:  [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

A variable raised to a negative exponent p is equivalent to 1 divided by the variable raised to a positive exponent p.

In this equation, this rule applies to both b variables as follows:

[tex]b^{-2} = \frac{1}{b^2}[/tex]

[tex]\frac{1}{b^{-3}} = \frac{1}{\frac{1}{b^3} } = \frac{b^3}{1}[/tex]

After 'solving' for each negative exponent, you can plug them into the previous negative exponents:

[tex]\frac{1}{b^2} * \frac{b^3}{a} = \frac{b^3}{ab^2}[/tex]

Afterwards, cancel out b^2 from the top and bottom of the equation to get your final answer, as b^2 / b^2 = 1

[tex]\frac{b}{a}[/tex]

Answer:

Option 3: [tex] x \ge 8 [/tex]

Graph C

Step-by-step explanation:

Find the solution of [tex] -\frac{x}{4} \le 2 [/tex]

[tex] -\frac{x}{4} \le 2 [/tex]

[tex] -x \le 8 [/tex](multiplication property of equality)

Divide both sides by -1. Since we are dividing by a negative number, the sign would change

[tex] x \ge 8 [/tex]

This means that the possible values of x are 8 and any number above 8.

Graphing this, the arrow of directed line would start at 8 and move towards our right hand.

Thus, the graph would be graph C in option C.

Answer:

I'm guessing the answer is 7?

Answer:

the answer is 9 i think you have to divide

Answer:

[tex] \frac{t8}{t3} \\ divide \: by \: t \\ = \frac{t8 \div t}{t3 \div t} \\ = \frac{8}{3} \\ 2 \frac{2}{3} [/tex]

[tex] \frac{m8}{m3} \\ divide \: by \: m \\ = \frac{m8 \div m}{m3 \div m} \\ = \frac{8}{3} \\ = 2 \frac{2}{3} [/tex]

Answer:

1) [tex]t^{5}[/tex]

2) [tex]m^{5}[/tex]

Step-by-step explanation:

1) [tex]\frac{t^{8} }{t^{3} } = t^{8-3} = t^{5}[/tex]

2) [tex]\frac{m^{8} }{m^{3} } = m^{8-3} = m^{5}[/tex]

Answer:

8.611111

Step-by-step explanation:

brainliest plz

Answer:

xcvbnm

Step-by-step explanation:

n

Answer:

the answer is c

Step-by-step explanation:

Answer:

If I was you i'll take my chances with 125 degrees.

Answer: 125

Step-by-step explanation:

i hope this helped :)

Answer:

12.8844

the answer is (a)12.8844

a is the correct answer.......

Answer:

The value of average temperature during that period=[tex]58^{\circ}[/tex]

Step-by-step explanation:

We are given that

Temperature at time t  is given by

[tex]T(t)=50+6t-\frac{1}{3}t^2[/tex]

We have to find the average temperature during a certain  24-hour period.

We know that

Average value of function

[tex]f_{av}=\frac{1}{b-a}\int_{a}^{b}f(x)dx[/tex]

Using the formula

Average temperature during the period

[tex]=\frac{1}{24-0}\int_{0}^{24}(50+6t-\frac{1}{3}t^2)dt[/tex]

[tex]=\frac{1}{24}[50t+3t^2-\frac{1}{9}t^3]^{24}_{0}[/tex]

[tex]=\frac{1}{24}(50\times 24+3(24)^2-\frac{1}{9}(24)^3)[/tex]

[tex]=58^{\circ}[/tex]

Hence, the value of average temperature during that period=[tex]58^{\circ}[/tex]

Answer: 3

Step-by-step explanation:

Answer:

y = -5x - 2/3

Step-by-step explanation:

slope intercept form is "y = mx + b"

y = -5x - 2/3

b = y-intercept

y-intercept means when x = 0

m = slope

slope = -5

(And I don't think I'm that kind lol, I'm just bored as heck, so I'm answering this)

1274 divided by 14 equals 91, see attachment below

Answer:

The answer is 1/10y

Complete question is;

A manufacturer of cell phone batteries claims that the average number of recharge cycles for its batteries is 400. A consumer group will obtain a random sample of 100 manufacturer's batteries and will calculate the mean number of recharge cycles. Which of the following statements is justified by the central limit theorem?

The Central Limit Theorem tells us that for large sample sizes (in practice n > 30) the sampling distribution of the sample mean will be approximately normal.

A. The distribution of the number of recharge cycles for the sample is approximately normal because the population mean of 400 is greater than 30.

B. The distribution of the number of recharge cycles for the sample is approximately normal because the sample size of 100 is greater than 30.

C. The distribution of the number of recharge cycles for the population is approximately normal because the sample size of 100 is greater than 30.

D. The distribution of the sample means of the number of recharge cycles is approximately normal because the sample size of 100 is greater than 30.

E. The distribution of the sample means of the number of recharge cycles is approximately normal because the population mean of 400 is greater than 30.

Answer:

D. The distribution of the sample means of the number of recharge cycles is approximately normal because the sample size of 100 is greater than 30.

Step-by-step explanation:

We are told that the Central Limit Theorem tells us that for large sample sizes (in practice n > 30) the sampling distribution of the sample mean will be approximately normal. Thus we can pick the correct option as follows:

Option A: This is not the correct answer because it is the sample size (n) that should be greater than 30 and not the population mean as stated.

Option B: This is not the correct answer because the distribution of the sample should correspond to the population shape for large samples because it's only the sampling distribution that is approximately normal.

Option C: This option is not correct because the sample is not meant to have any impact on the population.

Option D: This option is the correct answer because it fulfills the condition of the central limit theorem earlier described.

Option E: This is not the correct answer because just like in option A, it is the sample size (n) that should be greater than 30 and not the population mean as stated.

Answer:

9 tablespoons

Step-by-step explanation:

cut the recipe in half then add one half to the full

6+3=9

i bake a lot i had to learn how to do this

Answer: 9 tablespoons

Step-by-step explanation:

You are going to find the unit rate...

6 tablespoons of butter/30 cookies=0.2 tablespoons per cookie so....

0.2*45=9 tablespoons of butter for 45 cookies

Answer:

2 1/4

Step-by-step explanation:

4 can go into 9 two times. 4×2=8, 9-8=1

so 2 as the whole number and 1 goes over 4

Answer:

2 1/4

Step-by-step explanation:

To find a mixed number all you need to do is figure out how many times will 4 go into 9 evenly, which is 2, then the remaining amount is just left over which is 1/4

Hope this helps :)

Answer:

734.4

Step-by-step explanation:

800 * 0.85=680

680 * 1.08=734.4

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Step-by-step explanation:

Step 1: Define

3(x + 7)° = 63°

3(x + 7)° + 63° + y° = 180°

Step 2: Solve for x

Answer:

D. [tex]g(x) = x^{2} + 3[/tex]

Step-by-step explanation:

Since the upscaling in the y-axis is not the main focus of this equation (being g(x) and not g(y)), the change is not applied to the x-axis. Hence, we can rule out (x-3)^2 and (x+3)^2 since they apply changes to the x-axis.

Finally, since this is an upscaling of the y-value on the y-axis, the answer is x^2 + 3 and not x^2 - 3.

Hope this helped!

Answer: D

Step-by-step explanation: Apx

Answer:

Wouldnt it be 10

Step-by-step explanation:

Answer:

The equation will be:

7*8 = 8*7

Step-by-step explanation:

We need to find the values of triangle.

The given equation is:

7*____ = 8*____

It can be solved using commutative law of addition that states that:

[tex]a*b=b*a[/tex]

In the given equation we have:

a = 7 and

b = 8

So, the equation will be:

7*8 = 8*7

Answer:

20%

Step-by-step explanation:

Answer:

1/5, 2/9, 0/4

Answer:

A prime number doesn't have any factors besides one and itself. For example, 17 is a prime number because you can't multiply anything to get 17 besides 17 and 1 (excluding decimals).

Composite numbers are numbers that have other factors other than 1 and themselves. Example: 12 is a composite number because you can multiply 3 by 4 to get 12, or 2 by 6 to get 12, not just 12 times 1.

Answer:

5/4

Decimal Form:

1.25

Mixed Number Form:

1 and 1/4