Your friend, Margret, needs your help in solving a math problem that she got from her math teacher.
This was the problem:

What number can be put where the question mark is?
Justify your answer.
? =

Your Friend, Margret, Needs Your Help In Solving A Math Problem That She Got From Her Math Teacher.This

Answers

Answer 1

Answer:

We need to put x = -4 where the question mark lies.

Step-by-step explanation:

Given the expression

[tex]\left(x^6\right)^0=x^4\cdot \:\:x^?[/tex]

First, solve the left-hand side of the equation

[tex]\left(x^6\right)^0[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^0=1,\:\quad \:a\ne \:0[/tex]

Thus, the expression becomes

[tex]\left(x^6\right)^0=1[/tex]

So we have to put the number which can make the right-hand side of the equation equal to 1.

Let's put x = 4 where the question mark lies and solve the equation to check whether the right-hand side of the equation becomes 1.

[tex]x^4\cdot \:\:x^{-4}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]=x^{4-4}[/tex]

[tex]=x^0[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^0=1,\:\quad \:a\ne \:0[/tex]

[tex]=1[/tex]

Thus, both equations become equal when we put x = -4 on the question mark.

[tex]\left(x^6\right)^0=x^4\cdot \:\:x^{-4}[/tex]

[tex]1=1[/tex]

Therefore, we need to put x = -4 where the question mark lies.


Related Questions

A card is randomly selected out of a standard 52 deck of cards. What is the probability of selecting a queen or a
heart?
Leave your answer as a fraction in lowest terms

Answers

Hello,

Answer: 1/52 (Queen) 1/52 (Heart)

Further explaining: A 52 deck of cards has one each of queen and heart. So take the selected card, and plug it into the numerator and the total, (including selected card) and add that into the denominator.
Hope this helps!


Lisa has scored 24, 21, and 20 points in her three basketball games so far. How many points does she need to score in her next game so that her average
(mean) is 21 points per game?
Explanation
Check

Answers

Answer:

She needs to score AT LEAST 19 points

Step-by-step explanation:

24 + 21 + 20 + 19 = 84

84 ÷ 2 = 21

A customer at a store paid $96 for 5 large candles and 7 small candles. At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies Write a system that could be used find the price in dollars of each large candle, x, and each small candle, Y

Answers

Answer:

The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:

5x + 7y = 96...... Equation 1

4x + 8y = 88..... Equation 2

Step-by-step explanation:

From the question:

Let cost of:

large candles = x

Small candles = y

A customer at a store paid $96 for 5 large candles and 7 small candles.

Hence:

5x + 7y = 96...... Equation 1

At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies

Hence:

4x + 8y = $96 - $8

4x + 8y = 88..... Equation 2

The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:

5x + 7y = 96...... Equation 1

4x + 8y = 88..... Equation 2

how did you get that answer tho I gotta show my work

Answers

there’s nothing attached

Write an equation of a line that is parallel to y = x - 7 and passes through the point (-6, -11).

Answers

Answer:

y = x - 5

Step-by-step explanation:

Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.

In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:

-11 = -6  + b

Then b must be -5, and so the desired new equation is

y = x - 5

Find the unit rate.

You earn $15 in 3/4 of a month. At this rate, how much do you make in 1 month?

Answers

Answer:

you make 20 dollars in a month

Step-by-step explanation:

15 is 3/4 a month, unit rate would be 5 dollars a week so therefore a whole month would be 20

please help me asap, i was absent the day we learned this and haven't been able to pick it up

Answers

Answer:

Your dead meat then...

Step-by-step explanation:

But I’m pretty sure its b?

sorry if it’s wrong

Answer:

the answer is c took this before

find the slope of the line that contains (-2,-2) and (-10,-9)

Answers

Answer:

[tex] \huge \frac{7}{8} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 9 - - 2}{ - 10 - - 2} = \frac{ - 9 + 2}{ - 10 + 2} = \frac{ - 7}{ - 8} = \frac{7}{8} \\ [/tex]

We have the final answer as

[tex] \frac{7}{8} \\ [/tex]

Hope this helps you

Answer:

7/8

Step-by-step explanation:

What is 2 divided by 1/7

Answers

Answer:

The answer is 14

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

Complete the multiplication and the equation becomes

The two fractions now have like denominators so you can add the numerators.

there....

The solution of the expression ''2 divided by 1/7'' is 14.

Used the concept of the divide that states,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

Given that,

2 divided by 1/7

Now it can be written as,

2 divided by 1/7

[tex]2 \div \dfrac{1}{7}[/tex]

[tex]2 \times 7[/tex]

[tex]14[/tex]

Therefore, the solution of the expression is 14.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Can u help me plz fast

Answers

Answer:

the answer is smallest to biggest

Step-by-step explanation:

I need help for math plz :(

Answers

Answer:

Option D

Step-by-step explanation:

Set of data in terms of ordered pairs represents a function when output value of each input value is different.

Option A

Since, for every value of x there is a different value of y, it's a function.

Option B

In each ordered pair, for every value of x there is a different value of y.

Therefore, it's a function.

Option C

From the given graph, for every value of x there is a different value of y.

Therefore, it's a function.

Option D

From the given set of ordered pairs we find for x = 1 there are two values of y (y = 4 and 3).

Therefore, the given set of ordered pairs doesn't represent a function.

Option D is the answer.

Help me please i beed this now

Answers

Answer:

well 5% of 600 is 30. so if you make 600 phone calls and an average of 5% of those calls are people signing up, then that would be 30.

If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance, what are the alternative hypothesis and rejection region?

Answers

Answer:

The alternative hypothesis is

      [tex]H_a : p_1 \ne \ p_2[/tex]

The rejection region is the region outside the interval

         [tex]-1.96 < z_{critical} < 1.96[/tex]

Step-by-step explanation:

From the question we are told that

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

     The null hypothesis is  [tex]H_o : p_1 = p_2[/tex]

      The  alternative hypothesis is  [tex]H_a : p_1 \ne \ p_2[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Hence the rejection region is the region outside the interval [tex]-1.96 < z_{critical} < 1.96[/tex]

The alternative hypothesis is, [tex]H _a; \ P_1\neq P_2[/tex] .

And the rejection region is the region outside the interval is [tex]-1.96< Z_c_r_i_t_i_c_a_l <1.96[/tex] .

Given that,

If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance.

We have to determine,

What is the alternative hypothesis and rejection region?

According to the question,

The significance level is,  [tex]\alpha = 5 \ percent = 0.05[/tex]

The null hypothesis is [tex]H_0 ; P_1 = P_2[/tex]

The alternative hypothesis is, [tex]H _a; \ P_1\neq P_2[/tex]

In the normal distribution table, the critical value [tex]\dfrac{\alpha}{2}[/tex] is,

[tex]Z _\frac{\alpha}{2} = 1.96[/tex]

Hence, the rejection region is the region outside the interval is [tex]-1.96< Z_c_r_i_t_i_c_a_l <1.96[/tex] .

To know more about the Hypothesis click the link given below.

https://brainly.com/question/21620502

A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?

Answers

It will cost you $7.45

What is the slope of the function f(x) = 6x + 10 *
1
10
6
16
Other:

Answers

Answer:

6

Step-by-step explanation:

6 is the slope of the function

part two thinking a number between 1 and 10 but doble the money!

Answers

The answer is 5 dhrnrhenebbebdbrhebrjrn

The length l of a rectangle is decreasing at a rate of 3 cm/sec while the width w is increasing at a rate of 3 cm/sec. When l=5 cm and w=12 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.
a) The rate of changes of the area of the rectangle is _______ cm^2/sec
Is the area increasing, decreasing, or constant?
b) The rate of change of the perimeter of the rectangle is ____ cm/sec.
Is the perimeter increasing, decreasing, or constant?
c) The rate of change of the length of the diagonals of the rectangle is ____ cm/sec.
Is the length of the diagonals increasing, decreasing, or constant.

Answers

Answer:

1) dA/dt = -21 cm²/s and Area is decreasing

2)dP/dt = 0 and perimeter is constant

3) dD/dt = 21/13 cm/s and diagonal is increasing

Step-by-step explanation:

We are given that;

length l of a rectangle is decreasing at a rate of 3 cm/sec.

Thus, dl/dt = -3 cm/sec

Also, the width w is increasing at a rate of 3 cm/sec. Thus;

dw/dt = 3 cm/sec

When l=5 cm and w=12 cm;

A) Area is given by the formula;

A = lw

The rate at which area is increasing is;

dA/dt = l(dw/dt) + w(dl/dt)

Plugging in the relevant values;

dA/dt = 5(3) + 12(-3)

dA/dt = 15 - 36

dA/dt = -21 cm²/s

This is less than 0.thus, A is decreasing.

B) Formula for perimeter is;

P = 2l + 2w

rate of change of perimeter is;

dP/dt = 2(dw/dt) + 2(dl/dt)

Plugging in the relevant values, we have;

dP/dt = 2(-3) + 2(3)

dP/dt = 0

Thus,Perimeter is constant

C) the length of the diagonal of a rectangle is given by;

D = √(w² + l²)

Rate of change of diagonal is;

dD/dt = [2w(dw/dt) + 2l(dl/dt)]/(2√(w² + l²))

2 will cancel out in numerator and denominator to give;

dD/dt = [w(dw/dt) + l(dl/dt)]/(√(w² + l²))

Plugging in the relevant values gives;

dD/dt = [12(3) + 5(-3)]/(√(12² + 5²))

dD/dt = (36 - 15)/13

dD/dt = 21/13 cm/s

This is greater than 0.

Thus, diagonal is increasing.

how many times does 12 go into 60?

Answers

Answer:

5 times

Step-by-step explanation:

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a

Answers

Answer:

disproportionate stratified sample

Step-by-step explanation:

Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.

what is the midpoint of the segment shown below ?

Answers

(1, -3/2) is your answer. The answer is D.

The difference between 8 forty-sevens and forty-sevens

Answers

847 s - 47 I think that’s what it is

Plz help !!!!!! I don’t understand

Answers

That’s not enough information, send the parallel lines with the Intercept that has all the names of the angles

A rectangular pool has a perimeter of 72 feet. The equation below shows
the relationship between the length, L, and the width, W, of the pool.

2L + 2W = 72

The width, W, of the pool is 12 feet. What is the length, L, of the pool?

A. 25 feet
B. 24 feet
C. 22 feet
D. 12 feet

Answers

Answer:

2L + 24 = 72

2L = 72-24

L = 48 ÷ 2

= 24 feet

multiple of 3 and 5 less than 47 but greater than 42....​

Answers

Answer:

45

Step-by-step explanation:

45 > 42 but < 47 and it's a multiple of 3 and 5

Carly earned some money doing odd jobs last summer and put it in a savings account that earns 5% interest compounded quarterly. After 2 years, there is $400.00 in the account. How much did Carly earn doing odd jobs? * A. 155.90 B. 441.79 C. 390.18 D. 362.16​

Answers

I believe it’s 362.16 but not 100%

Write an integer for: A bank deposit of $175

Answers

Answer:

175

Step-by-step explanation:

A deposit is adding money to the bank, so the integer will be positive.

That makes our integer: 175

CAN someone help me withe dis plz hmmmmmm​

Answers

Answer:

510

Step-by-step explanation:

Solve the system by graphing 3x+y=4 and x-y=4

Answers

Attached is a pic of the graph

please help me thanks ​

Answers

i believe it would be the last answer, 6.25
if this is correct i’m very sorry, but if this helps, please mark brainliest. :)

I AM WILLING TO PAY IF YOU HELP ME WITH MY ASSIGNMENT! Pls dm me if you know how to do this and have paypal

Answers

Answer:

55860

Step-by-step explanation:

This way super dupper easy

Answer:

V is approximately 11.81

Step-by-step explanation:

We use the sine rule

V/sin 98 = 10/sin 57

Cross multiply

V * sin 57 = 9.90268068

V = 9.90268068/sin 57

V= 11.80759295

V ~ 11.81

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