Part A: If (2^6)x = 1, what is the value of x? Explain your answer. (5 points)

Part B: If (5^0)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answer: The two functions are

f(x) = sqrt(64x^2+64)

g(x) = -sqrt(64x^2+64)

Graphing these together forms a hyperbola

To get these two functions, we need to solve for y

y^2 - 64x^2 = 64

y^2 = 64x^2 + 64

y = sqrt(64x^2 + 64) or y = -sqrt(64x^2 + 64)

The last line is similar to how x^2 = 9 has two solutions (x = plus or minus 3)

Answer:

No Answer

Step-by-step explanation:

It simplifies to -9=10 which is not correct.

Answer:

The correct option is;

Four variables are measured, two of which are categorical

Step-by-step explanation:

Categorical variables are variables with a limited number of possible values or variables that consist of two or more possible categories such that each member of the population can be assigned to a particular category in which the categories do not posses an order or preference

Quantitative variables represent numerical values of a measurement of a given quantity. Quantitative variables indicates indicates the values of a required information.

With regards to the variables recorded by the US Census Bureau in the given scenario, we have;

The categorical variables are;

1) The state in which the respondent reside

2) Weather the respondent answered the census by phone, mail, or the internet

The quantitative variables are;

1) The number of people who live in the household

2) The household income

Answer:

(D) Four variables are measured, two of which are categorical.

Step-by-step explanation:

I just took the AP Stat Unit test on Edg2022 and got 100%.

If your wondering, the two variables that are categorical are the state, and the method that the people responded.

The number of people per household and household income are quantatative.

Don't forget to press that THANKS button!

Answer:

54 degrees im pretty sure

Step-by-step explanation:

Step-by-step explanation:

45+80+<1=180

125+<1=180

<1=180-125

<1=55

Answer: 86849 steps

Step-by-step explanation:

Given the following :

Last week:

Sally's step = 65,723

Joan's step = 90,345

Joan's stride = 18 inch

Sally's stride = (18 + 5.5) = 23.5

If Sally walks 70,000 steps next week

how many more steps than Sally does Joan have to do to make sure she walks the furthest distance next week?

Sally's distance lat week : (65,723 * 23.5) = 1544490.5 inches

Joan's distance last week : (90,345 * 18) = 1626210 inches

Next week:

Sally's distance = (70,000 * 23.5) = 1645000 inches

Sally's Total distance = (1645000 + 1544490.5) = 3189490.5 inches

For Joan to walk the furthest distance, she must cover above :

(Sally's total distance - Joan's last week distance)

(3189490.5 - 1626210) = 1563280.5 inches

Hence number of steps Joan must take next week:

Distance / length of Joan's stride

= 1563280.5 / 18

= 86848.916 steps

= 86849 steps

Answer:

2x = 2x

Step-by-step explanation:

2x + 6 = 3x + 6 - x

2x = 3x - x(cancel equal terms)

2x=2x

Answer:

77

Step-by-step explanation:

add all the numbers together then divide by the amount of numbers there are

385÷5=77

[tex]\text {Hi! Let's Solve this Problem!}[/tex]

[tex]\text {\underline {The First Step is to Add}}[/tex]

[tex]\text {68+72+75+80+90=385}[/tex]

[tex]\text {\underline {The Final Step is to Divide}}[/tex]

[tex]\text {385/5=}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {77}[/tex]

[tex]\text {Q: How did u get 5 to divide by?}[/tex]

[tex]\text {A: You count all the numbers that you are finding the mean for.}[/tex] [tex]\text {So you see there are 5 numbers so that means you divide by 5.}[/tex]

[tex]\text {Note: To find the mean you order the numbers. Then add. Then divide}[/tex] [tex]\text {the total you got when u added and the total of numbers there are.}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer: 3y - 8x + 2 = 0

Step-by-step explanation:

The formula is

y - y₁        y₂ - y₁

-------   =  ----------   where x₁ = -2, x₂ = 1, y₁ = -6, y₂ = 2,

x - x₁       x₂ - x₁

Now we substitute for the values in the above equation and then solve.

y - (-6)        2 - (-6)        2 + 6          8

----------  =   -----------  =  ---------   =   ----

x - (-2)        1 - (-2)         1 + 2           3

y + 6        8

--------  =  ----  , we now cross multiply to get the required equation.

x + 2        3

3( y + 6 ) =  8( x + 2 )

3y + 18    =  8x + 16

3y - 8x + 18 - 16 = 0

3y - 8x + 2 = 0

Answer:

C

Step-by-step explanation:

Because there is 3 sweaters and three skirts. 3+3 is 6, so because you are choosing 2 out of the 6, it's 2/6. Simplify and that's 1/3.

The probability she will select the gray skirt and the purple sweater to wear to work that day is 1/9.

What is probability?

Probability is the chance of happening an event or situation.

Colors of skirt: blue, green, and gray.

Probability of choosing any skirt is = 1/3.

Colors of sweater: white, purple, and green.

Probability of choosing any sweater is = 1/3.

Now, the probability she will select the gray skirt and the purple sweater to wear to work that day is = 1/3 × 1/3 = 1/9.

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Answer:

The table is missing in the question. The table is provided below.

Step-by-step explanation:

1. In the table, it is given the difference of high temperature. They are :

-7, -7, 2, 5, -3, -2

Now adding the differences of high temperatures and taking out its average.

-7 + (-7) + 2 + 5 + (-3) + (-2)= -12

Average : [tex]$-\frac{12}{6}=-2$[/tex]

Thus the answer is an integer.

2.  In the table, it is given the difference of high temperature. They are :

0, -3, -7, -1, 1, 0

Now adding the differences of high temperatures and taking out its average.

0 + (-3) + (-7 )+ (-1) + 1 + 0= -10

Average : [tex]$-\frac{10}{6} = -1.66$[/tex]

Thus, the answer is not an integer. The answer lies between the integers -2 to -1.

Answer:

Ok to clear some question the top guy got 6 because there are 6 numbers

Step-by-step explanation:

ben owes more money since he has a debt of $ 93 and noam had a debt of only $ 70

hope that helps !

Answer: There are no values of  n  that make the equation true.

Step-by-step explanation:

you can not add terms that are not alike

Answer:

It would be the second graph.

Step-by-step explanation:

Congruent means (of figures) identical in form; coinciding exactly when superimposed. So when you do the translations they will be the exact same.

Hope this helps

Answer:

Her multiplication

Step-by-step explanation:

Not really an aexplanation

Answer:

$375

Step-by-step explanation:

Step 1: Set up expression

150(1 + 150%)

Step 2: Convert %

150(1 + 1.5)

Step 3: Solve

150(2.5)

375

Answer:

yea yea singing challange

Step-by-step explanation: FLYYY ME TO THE MOON LOLOLOL

Answer:

Step-by-step explanation:

The graph includes all point to the left from point 2, same point included

Answer:

x <= 2

Step-by-step explanation:

x - (5 - 3x) <= 2x - 1

x - 5 + 3x <= 2x - 1

4x - 5 <= 2x - 1

4x <= 2x + 4

2x <= 4

x <= 2

Best of Luck!

Answer:

Jillian is incorrect because \sqrt{25}25 is equal to 5, which is a rational number.

The difference between these two elevations is 7024 feet.

Given,

Mount Everest is 29,028 feet above sea level.

The bottom of the Mariana Trench is 36,070 feet below sea level.

We need to find out what is the difference between these two elevations.

When we measure the distance above sea level we measure it as a positive distance but when we measure the distance below the surface we measure it as a negative distance.

Find the distance of Mount Everest above sea level.

= 29.028

Find the distance of the Mariana trench below sea level.

= 36,070

Find the difference in distance between them.

We are to find the difference in distance between them not the distance between them.

So,

Mariana trench is higher than Mount Everest by:

= 36,070 - 29,028

= 7024 feet

Thus the difference between these two elevations is 7024 feet.

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Front-end estimation is a particular way of rounding numbers to estimate sums and differences.

To use front- end estimation, add or subtract only the numbers in the greatest place value. Then add the decimals rounded to the nearest tenth.

Step-by-step explanation:

In front end estimation we are going to replace the original number with a number that is close by but only has one non zero digit. Examples: {20, 300, -50, 1,000, 80,000}. For example take the number 32, the choices to replace it with are 30 or 40 (they both have only one non-zero digit).

Answer:

The factors of the polynomial are (x+1), (2x-3) and (x -1)

Step-by-step explanation:

Here, we want to know the linear factors of the function.

What we simply want to calculate are those factors when multiplied with each other gives the polynomial in question.

We start by looking at the polynomial itself, we discover that the polynomial in question is a polynomial of degree three. What this means is that the polynomial will have three roots.

In this kind of question, we make use of testing.

Testing in the sense that since we know that the factor of a polynomial if substituted in that polynomial will give no remainder( 0)

So let’s say we start with one of the options (x-1)

We set this to 0

x -1 = 0

This implies that x = 1

So make a substitution of x= 1 in the polynomial

We will get;

2(1)^3 - 3(1)^2 -2(1) + 3 = 2-3-2+3 = 0

This means that (x-1) is actually a factor

The next thing to do is to use the polynomial long division; That will be;

(2x^3 − 3x^2 − 2x + 3)/ (x-1)

This gives ;

2x^2 -x -3

We can now proceed to factorize the quadratic equation;

That will be;

2x^2 + 2x -3x -3

= 2x(x + 1) -3( x + 1)

So the factors are;

(2x-3)(x+ 1)

These are the two other factors aside (x-1)

Answer:

935:)

Step-by-step explanation:

Answer:

in order for a graph to be a function every input has to have one output

Step-by-step explanation:

in order for a graph to be a function every input has to have one output

Answer:

x^3 + 6x^2 -7x -60

Step-by-step explanation:

Answer:

  [tex]v(t)=\dfrac{3\pi}{5}\cos{(3\pi t)}[/tex]

Step-by-step explanation:

The velocity is the derivative of position.

  [tex]s(t)=3+ \dfrac{1}{5} \sin{(3\pi t)}\\\\v(t)=s'(t)=\dfrac{1}{5}(3\pi)\cos{(3\pi t)}\\\\\boxed{v(t)=\dfrac{3\pi}{5}\cos{(3\pi t)}}[/tex]

Answer:

-4.32

Step-by-step explanation:

=−3*1.22

=−3*(1.2*1.2)

=−4.32

The exact value of -3(1.2)² is -4.32

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Examples of expression include 5y +3 , 6/2 , x + y = -1 e.t.c

An expression may not contain any variable at all, this means any term that has operation sign can be an expression.

-3( 1.2)²

= -3 × 1.2 × 1.2

= -4.32

Therefore the value of -3( 1.2)² is -4.32

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