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2 years ago

Help please :( 4^5 x 4^ -7 divide by 4^ -2 ?

Mathematics

1 answer:

alexandr1967 [171]2 years ago

7 0

Answer:

4⁻⁴

Step-by-step explanation:

4⁵ × 4⁻⁷ ÷ 4⁻²

⁺ ⁵ ⁻ ⁷

= ⁻²

⁻ ² ⁻ ²

= ⁻ ⁴

4⁻⁴

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I need help i'm really stuck

Ivenika [448]

Answer:

Step-by-step explanation:

If the area is 32 and the formula for area of a triangle is base * height / 2, and you have base = 8 and height = x and area = 32, this would be:

8 * x / 2 = 32

Now, solve:

$8x/2=32\\4x=32\\x=8$

4 0

2 years ago

Read 2 more answers

A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

5 0

3 years ago

Which value of b would make 16x²-bx + 25 a perfect square trinomial?

blondinia [14]

Answer:

b = 40 and -40

Step-by-step explanation:

General form of Perfect square trinomial is a 2 + 2 a b + b 2

Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40

The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .

if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40

The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .

The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .

8 0

2 years ago

Which answer shows y+2<4x-3, rewritten to isolate y, and it’s graph?

Natasha_Volkova [10]

To isolate y, subtract 2.
y < 4x - 5

The graph will be a dashed line y = 4x - 5 with the area below the line shaded.

4 0

2 years ago

Read 2 more answers

Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution.

Leno4ka [110]

The answer is 4.

Square root of 2x plus 1 = 3:
 $\sqrt{2x+1} =3$

Square both sides:
 $( \sqrt{2x+1} )^{2} =3^{2} \\ \\ 
2x+1=9 \\ 
2x = 9 - 1 \\ 
2x =8 \\ 
x = 8:2 \\ x =4
$

3 0

2 years ago