Simplify ( 5^2x7^4 ) 10

Simplify ( 5^2x7^4 ) 10

Answers

Answer 1

Answer:

5^20 • 7^40

Step-by-step explanation:

each exponent needs to multiply each 10.

Answer 2

Answer:

D. [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Step-by-step explanation:

Original Equation=  [tex](5^2 \cdot 7^4)^{10}[/tex]  

Apply exponent rule: [tex](a\cdot b) ^n[/tex] = [tex]a^n[/tex] [tex]b^n[/tex]

= [tex](5^2)^{10}[/tex]  x   [tex](7^4)^{10}[/tex]

Distribute them

= [tex]5^{20}[/tex]  x  [tex](7^4)^{10}[/tex]

= [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Hope this helps!


Related Questions

1.Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20. What are the least numbers of packs you should buy in order to have the same number of plates, utensils, and cups?

Answers

Answer:

Least no of packs = 120

Step-by-step explanation:

Given that,

Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20.

We need to find least numbers of packs you should buy in order to have the same number of plates, utensils, and cups.

It means we need to find the LCM of 8,12,20

Prime factorisation of 8 = 2×2×2

Prime factorisation of 12 = 2×3×2

Prime factorisation of 20=2×5×2

LCM = 120

Hence, there are 120 least number of packs you should buy in order to have the same number of plates, utensils, and cups

sam was charged $1050 in interest on a loan with a 2.5% interest rate. what was the original amount of the loan if he took 5 years to pay it back?

Answers

Answer:

$918.75

Step-by-step explanation:

2.5 ÷ 100 = 0.025 × 1050 = 26.25

26.25 × 5 = 131.25

1050 - 131.25 = 918.75

Find the exact value of each trigonometric function tan -630

Answers

Answer:

1tan is 10sin

OK OK OK.

follow please

What is the slope of the following equation? y =- 1/2×+1 ​

Answers

Answer:

-1/2

Step-by-step explanation:

Answer: -1/2

Reason: In the equation of y = mx + b. The m is the slope, and the b is the y intercept, so that is how I figured out the Slope of the equation. I hope this helps, and Happy Holidays! :)

Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x

Answers

1) x=2
2) x=5

....................

Answer:

1( ×=2

2( x=5

ekekjejew

what is 0.94 (m) in (cm)​

Answers

Answer:

the answer is 94cm

Step-by-step explanation:

1m=100cm

0.94m= 0.94×100

= 94cm

Hope it will help you.......

Answer: Convert 0.94 Meters to Centimeter (m to cm) with our conversion calculator and conversion tables. To convert 0.94 m to cm use direct conversion formula below.

0.94 m = 94 cm.

Hope this helps....... Stay safe and have a Merry Christmas!!!!!!! :D

I just want to say that my account got deleted yesterday and i would love if i could get at least 18-25 friends by Christmas.

whats the answer? if you know it

Answers

D. 360! You use the equation length x height x width!

Answer:

Step-by-step explanation:

360

Tom got on a scale while on a vacation in France and noticed he weighed 75 kg. He read in a guidebook that 1 lb. = 0.45 kg. How much does Tom weigh in pounds​

Answers

Answer:

166.67 pounds

Step-by-step explanation:

Set up a proportion where x is Tom's weight in pounds:

[tex]\frac{75}{x}[/tex] = [tex]\frac{0.45}{1}[/tex]

Cross multiply and solve for x:

75 = 0.45x

166.67 = x

So, Tom weighs approximately 166.67 pounds

The diagram shows two Parallel lines cut by a transversal. PLEASE HELP!

Answers

Answer:

you are right it is option a

Step-by-step explanation:

cause

The measures of the angles of a triangle are shown in the figure below. Solve for x.
480
33°
*

Answers

its probably 90 degrees because that’s a right angle

The lay in Burlington collected $3 930 in overdue fees last year. This year, the library
collectieted 3144 What is the percent of decrease in the amount collected?

Answers

Answer:

We conclude that the percent of decrease = 20%

Step-by-step explanation:

Given

Original amount = $3930Amount of decrease = $3930 - $3144 = $786

Using the formula

Percent of decrease = ( amount of decrease / orignal amount × 100 ) %

                                   = ( 786 / 3930 × 100 ) %

                                    = ( 0.2 × 100 ) %

                                    = 20%

Therefore, we conclude that the percent of decrease = 20%

Which product is positive?

Answers

Answer:

The 3rd one

Step-by-step explanation:

Can have brainliest

Answer:

The 3rd one

Step-by-step explanation:

hope it helps

also can i have brainlist

Find the absolute maximum and absolute minimum values of f on the given interval.

f(x) = xe^−x^2/32, [−2, 8]

Answers

The question is missing parts. Here is the complete question.

Find the absolute maximum and absolute minimum values of f on the given interval.

[tex]f(x)=xe^{-\frac{x^{2}}{32} }[/tex] , [ -2,8]

Answer: Absolute maximum: f(4) = 2.42;

              Absolute minimum: f(-2) = -1.76;

Step-by-step explanation: Some functions have absolute extrema: maxima and/or minima.

Absolute maximum is a point where the function has its greatest possible value.

Absolute minimum is a point where the function has its least possible value.

The method for finding absolute extrema points is

1) Derivate the function;

2) Find the values of x that makes f'(x) = 0;

3) Using the interval boundary values and the x found above, determine the function value of each of those points;

4) The highest value is maximum, while the lowest value is minimum;

For the function given, absolute maximum and minimum points are:

[tex]f(x)=xe^{-\frac{x^{2}}{32} }[/tex]

Using the product rule, first derivative will be:

[tex]f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} )[/tex]

[tex]f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} )[/tex] = 0

[tex]1-\frac{x^{2}}{16}=0[/tex]

[tex]\frac{x^{2}}{16}=1[/tex]

[tex]x^{2}=16[/tex]

x = ±4

x can't be -4 because it is not in the interval [-2,8].

[tex]f(-2)=-2e^{-\frac{(-2)^{2}}{32} }=-1.76[/tex]

[tex]f(4)=4e^{-\frac{4^{2}}{32} }=2.42[/tex]

[tex]f(8)=8e^{-\frac{8^{2}}{32} }=1.08[/tex]

Analysing each f(x), we noted when x = -2, f(-2) is minimum and when x = 4, f(4) is maximum.

Therefore, absolute maximum is f(4) = 2.42 and

absolute minimum is f(-2) = -1.76

The absolute maximum and absolute minimum values of f(x) are 2.426 and -1.765, respectively.

The function is given as:

[tex]\mathbf{f(x) = xe^{-\frac{x^2}{32}}}[/tex]

Start by differentiating the function

[tex]\mathbf{f'(x) = e^{-\frac{x^2}{32}} - \frac{x^2}{16}e^{-\frac{x^2}{32}}}[/tex]

Set to 0

[tex]\mathbf{ e^{-\frac{x^2}{32}} - \frac{x^2}{16}e^{-\frac{x^2}{32}} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ \frac{x^2}{16}e^{-\frac{x^2}{32}} = e^{-\frac{x^2}{32}}}[/tex]

Cancel out common factors

[tex]\mathbf{ \frac{x^2}{16}=1}[/tex]

Multiply both sides by 16

[tex]\mathbf{ x^2=16}[/tex]

Take square roots of both sides

[tex]\mathbf{ x=\pm 4}[/tex]

The interval is given as: [-2,8]

This means that the value of x = -4, is out of the interval.

So, we have the following critical points:

x = (-2, 4, 8)

Calculate f(x) at the these points

[tex]\mathbf{f(-2) = -2 \times e^{-\frac{(-2)^2}{32}}}[/tex]

[tex]\mathbf{f(-2) = -2 \times e^{-\frac{4}{32}}}[/tex]

[tex]\mathbf{f(-2) = -1.765}[/tex]

[tex]\mathbf{f(4) = 4 \times e^{-\frac{(4)^2}{32}}}[/tex]

[tex]\mathbf{f(4) = 4 \times e^{-\frac{16}{32}}}[/tex]

[tex]\mathbf{f(4) = 2.426}[/tex]

[tex]\mathbf{f(8) = 8 \times e^{-\frac{(8)^2}{32}}}[/tex]

[tex]\mathbf{f(8) = 8 \times e^{-\frac{64}{32}}}[/tex]

[tex]\mathbf{f(8) = 1.083}[/tex]

By comparison, the absolute maximum and absolute minimum values of f(x) are 2.426 and -1.765, respectively.

Read more about absolute maximum and absolute minimum values at:

https://brainly.com/question/12752779

Shelly biked 21 miles in 4 hours what is shellys average speed per hour?

Answers

Answer:

The average speed per hour of Shelly is 5.25 minutes.

Step-by-step explanation:

We can do proportion to solve this.

[tex] \frac{21 \: miles}{4 \: hours} = \frac{x}{1 \: hour} \\ \frac{4x}{4} = \frac{21}{4} \\ x = 5.25[/tex]

A well known pharmaceutical manufacturer is manufacturing a newly developed vaccine, and is concerned about variability in the immune response of the recipients. They claim the variance in the immune response is 1.9. It is known that the immune responses follow a normal distribution. A random sample of 30 individuals were given the vaccine and their immune response recorded. It was found that they had a sample variance of 0.9. At the 5% significance level, test the hypothesis that the population variance of the immune response is equal to 1.9 against the two-sided alternative, that it is not. a. State the null and alternative hypothesis. b. Perform the hypothesis test. (You may use any of the methods we discussed that are appropriate for the problem.) c. State your decision. d. State your conclusion in full sentences.

Answers

Answer:

a

The  null hypothesis is [tex]H_o : \ \sigma^2 = 1.9[/tex]

The alternative hypothesis is  [tex]H_a : \ \sigma^2 \ne 1.9[/tex]  

b

 [tex]X^2 = 13.74[/tex]

c

The decision rule is  

Reject the null hypothesis

d

The conclusion is  

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

Step-by-step explanation:

From the question we are are told that

   The variance is [tex]\sigma ^2 = 1.9[/tex]

    The sample size is  n =  30  

    The  sample variance  is  [tex]s^2 = 0.9[/tex]

    The level of significance is  [tex]\alpha = 0.05[/tex]

   

The  null hypothesis is [tex]H_o : \ \sigma^2 = 1.9[/tex]

The alternative hypothesis is  [tex]H_a : \ \sigma^2 \ne 1.9[/tex]  

Generally the test statistics  is mathematically represented as

          [tex]X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }[/tex]

=>       [tex]X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9 }[/tex]

=>       [tex]X^2 = 13.74[/tex]

Generally  from the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]

=>      [tex]df = 30 - 1[/tex]

=>      [tex]df = 29[/tex]

Generally from the chi distribution table the critical value of  [tex]\frac{\alpha}{2} \ and \ 1 - \frac{ \alpha }{2}[/tex] at a degree of freedom  of  [tex]df = 29[/tex] is  

       [tex]X^2 _{ \frac{\alpha }{2} , df } = X^2 _{ \frac{0.05 }{2} , 29 } = 45.7[/tex]

=>     [tex]X^2 _{ 1 - \frac{\alpha }{2} , df } = X^2 _{1 - \frac{0.05 }{2} , 29 } = 16.0 5[/tex]

Gnerally from the values obtained we see that

         [tex]X^2 < X^2 _{ 1 - \frac{\alpha }{2} , df }[/tex] hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

QUICK PLS ASSESSMENT ENDS IN 30 mins

The lengths of nails produced by a machine are known to be distributed normally
with mean u mm and standard deviation 0.7 mm. The lengths, in mm, of a
random sample of 5 nails are 107.29, 106.56, 105.94, 106.99, 106.47.
Calculate the 80% confidence interval for u.

Answers

Answer:

69

Step-by-step explanation:

Need help ASAP!!!
Please helppp

Answers

Your answer will be 24

four students wrote expressions using the variable t below. If t represents a positive integer, whose expression had the greatest value?

Answers

Answer:

Devon

Step-by-step explanation:

lets use t=1 to compare

1. -5(12t+9)

if t = 1, -5(12+9) = -5(21) = negative number

2. 2(-6t-8)

if t = 1, 2(-6-8) = 2(-14) = negative number

3. -6(-2t+18)

if t = 1, -6(-2+18) = -6(16) = negative number

4. (-4(-3t-2)

if t = 1, -4(-3-2) = -4(-5) = 20 positive number

please click red heart to give thanks :)

help meeeeee please ​

Answers

This is what I got for the answer.

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7?

Answers

Answer:

no

Step-by-step explanation:

here, f (x)=x^3 - 4x^2 + 3x + 7

when, factor is (x + 5)

x - a =x + 5

a = -5

Reminder= f (a)

= (-5)^3 - 4 (-5)^2 + 3×(-5) + 7

= -233

Since Reminder = -233 which is not 0 .

(x + 5) is not a factor of f (x)=x3-4x2+3x+7

Plsss Help me but QUICK ASAP

Answers

Answer:

Step-by-step explanation:

THe second one

I think it’s the second one

part 1
Solve the following equation
3(2y + 4) = -2y + 20
(show steps)
part2
what is the value of y?

Answers

Answer:

1

Step-by-step explanation:

3(2y+4)=-2y+20 distribute

6y+12=-2y+20 isolate variable

8y+12=20 subtract number

8y=8

y=1

Hope this helps plz hit the crown :D

if angle 1 and angle 2 are vertical, and angle 2 and angle 3 are complentary, angle 3= 56^, what is angle 1

Answers

I think it’s 34 because if angle 3 is 56, then angle 2 is 34 because they are complementary and angle 1 is 34 because it’s a vertical angle w/ angle 2

Ratio Relationships 5:9.

Answers

Answer:

What is the question?

Step-by-step explanation:

is there a question that goes along with this ?

At a football match, 10 men bought either a pie or a cup of
coffee. A pie costs 60p and a coffee costs 50p. The total
amount spent on pies and cups of coffee was £5.80. How many
of each must have been bought? (show all your working)​

Answers

Answer:

8 pies and 2 coffees

Step-by-step explanation:

10 men bought pie or a cup of coffee.

x=pie

y=coffee

x+y=10

0.6x+0.5y=5.8

0.6x+0.6y=6

0.1y=0.2

y=2

x=8

Hope this helps plz hit the crown :D

Fun fact
I need help :(

Answers

Answer:

9

5

Step-by-step explanation:

Wyatt's class:

Each group of 3 students eats 1 1/2 pizzas.

There are 18 students.

18/3 = 6

There are 6 groups of 3 students.

Since each group of 3 students eats 1 1/2 pizzas, 6 groups eat

6 * 1 1/2 = 6 * 3/2 = 18/2 = 9

Answer: 9 pizzas

Jennifer's class:

There are 15 students. Each student eats 1/3 of a pizza.

15 * 1/3 = 15/3 = 5

Answer: 5 pizzas

Answer:

9

5

What is the common difference for this arithmetic sequence?
-6, -1,4,9, 14, ...

A. 5
B. 3
C. 6
D. 4

Answers

the answer would be A. 5 because each time you add 5 hope this helps and make me branliest please(:

Answer:

A. 5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

ms.watson earns more than $24 per hour. The inequalit x>24 represent the situation.which statement best represent the solution of the inequality

Answers

Answer:

All rational numbers greater than 24

Step-by-step explanation:

8. Find the GCF of *
40x3 and 50x2

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Find the value of x​

Answers

Answer:

x=39 degrees

Step-by-step explanation:

x + 31 equals 2x - 8 because both pair of expressions must add up to 180

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