What is the value of x in the equation 2^2x = 2^3?

A.) x = 1.5
B.) x = 3
C.) x = 64
D.) x = 0.28

Answer:

The answer is: undefined or infinite

Hope this helps.

We can use the points (-1, 3) and (-1, 1) to solve.

Slope formula: y2-y1/x2-x1

= 1-3/-1-(-1)

= -2/0

= 0

This line is straight so it's undefined.

Hope This Helped! Good Luck!

Answer:

y = 0x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = 0 and c = 9, hence

y = 0x + 9

The equation of a horizontal line is normally written as y = 9

with the x- term omitted

The equation of a line with a slope of 0 and a y-intercept of 9 is y = 9, which represents a horizontal line on the graph.

The student is asking about the equation of a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Given that the slope (m) is 0, and the y-intercept (b) is 9, the equation of the line is simply y = 0x + 9. Since any number multiplied by zero is zero, this simplifies to y = 9.

Therefore, the equation of the line with a slope of 0 and a y-intercept of 9 in slope-intercept form is y = 9. This represents a horizontal line that crosses the y-axis at 9.

Answer:

2/9

Step-by-step explanation:

Answer: Probability that a student chosen at random likes science given that he or she likes art is 58%

Step-by-step explanation:

Since we have given that

Probability that a student who likes art and science = 21%

Probability that a student who likes art = 36%

According to question,

we need to find the probability that a student chosen at random likes science given that he or she likes art.

So, we will use "Conditional Probability":

P(A) = 0.36

P(S ∩ A) = 0.21

[tex]P(S\mid A)=\frac{P(S\cap A)}{P(A)}\\\\P(S\mid A)=\frac{0.21}{0.36}\\\\P(S\mid A)=0.58\\\\P(S\mid A)=58\%[/tex]

Hence, Probability that a student chosen at random likes science given that he or she likes art is 58%.

Answer:

90 days

Step-by-step explanation:

That = 3240 / 36

= 90 days

Answer:

90 days

Step-by-step explanation:

Hello, I think I can help you with this

You can easily solve this by using a simple rule of three.

Step one

Define

if the drives an average 36 miles per day,the how many days(x)  will it take to drive 3240 miles :it is

1 day ⇔ 36 miles

x days ⇔ 3240  miles

the relation is

[tex]\frac{1\ day}{36\ miles}=\frac{x\ day}{3240\ miles}\\[/tex]

Step two

solve for x

[tex]\frac{1\ day}{36\ miles}=\frac{x\ day}{3240\ miles}\\\\x=\frac{1\ day*3240\ miles}{36\ miles}\\x=90\ days\\[/tex]

90 days

Have a great day.

The slope-intercept form of the line passing through the point (7, -2) and parallel to the line y = -8x - 4 is y = -8x + 54. The required answer is y = -8x + 54.

To find the slope-intercept form of a line parallel to the given line, we need to determine the slope of the given line first.

The given line has a slope of -8 since it is in the form y = mx + b, where m represents the slope.

Since the line we are looking for is parallel to the given line, it will have the same slope of -8.

Now, we can use the point-slope form of a linear equation to find the equation of the line passing through the point (7, -2) with a slope of -8:

y - y1 = m(x - x1)

Substituting the values of the point and slope:

y - (-2) = -8(x - 7)

Simplifying:

y + 2 = -8x + 56

Rearranging the equation to the slope-intercept form:

y = -8x + 54

Therefore, the slope-intercept form of the line passing through the point (7, -2) and parallel to the line y = -8x - 4 is y = -8x + 54. The required answer is y = -8x + 54.

Learn more about linear equations and slope-intercept form here:

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Answer:

the length is 5 times the width of the prism

Step-by-step explanation:

the volume of this rectangular prism is [tex]5x^3[/tex]

volume of the prism = length * width * height

Length of the prism = 5x

Width = x

height =x

Length of the prism = 5x = 5* width of the prism

So, the length is 5 times the width of the prism

Answer:

1

Step-by-step explanation:

(x +3) appears only once as a factor, hence the multiplicity of the root x=-3 is 1.

Answer: Zoe is closer to the actual product because 6.80 is closer to 6.8493 than 6.90 mathematically. Another way to estimate 6.8493 is to round to the nearest hundredth place: 6.85

Zoe will have an estimate closer to the actual product.

To determine who will have an estimate closer to the actual product, we can compare the rounding methods used by Zoe and Andrew. Zoe rounded 6 * 8493 to 6 * 8000, while Andrew rounded 6 * 8493 + 6 * 9000. In this case, Andrew's estimate will be closer to the actual product because he considered additional terms in his calculation.

Another way to estimate 6 * 8493 that would give a better estimate is to round each term separately before multiplying. For example, rounding 6 to 10 and 8493 to 8500, the estimate would be 10 * 8500 = 85,000.

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Answer:

42

Step-by-step explanation:

The median is 29 . The third quartile is the middle number of the last 5 numbers.

This is 42

Answer:

42

Step-by-step explanation:

We are given that a data set

20,21,24,25,28,29,35,37,42,43,44

We have to find the value of third quartile of the given data set.

To find the third quartile we will use the given below formula

[tex]Q_3=\frac{3}{4}\times (n+1)^{th} term[/tex]

Where n=Total number of term

We have n=11

By using the formula

[tex]Q_3=\frac{3}{4}\times (11+1)^{th}[/tex] term

[tex]Q_3=9^{th}[/tex] term

[tex]9^{th}[/tex] term=42

Hence, third quartile=42

Answer: p = -2w + 20

Step-by-step explanation:

If the student had 20 pencils but now has 18 pencils, he uses pencils at a rate of 2 per week.  So, m = -2  (negative because he is decreasing the amount of pencils).  The student started with 20 pencils so b = 20

Use the y = mx + b but replace "y" with "p" and replace "x" with "w" and input the m and b as stated above:

             p = -2w + 20

Answer:

[tex]\sqrt{85}  or 9.22[/tex]

Step-by-step explanation:

You need to remember the following equation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Where a and b is the lengths of the two sides and c is the hypotenuse.

So simply plug these values into this:

[tex]6^{2} + 7^{2} = h^{2}[/tex]

36 + 49 = h^2

36 + 49 = 85

So the hypotenuse is the square root of 85:

[tex]\sqrt{85}  = 9.22[/tex]

Choose a graph from the list of graph, like in the picture.

Answer:

13.0 units

Step-by-step explanation:

To find the distance between two points, we use the formula

d = sqrt( (y2-y1)^2+ (x2-x1)^2)

    sqrt((-3--10)^2 + (-12--1)^2)

    sqrt( (-3+10)^2 + (-12+1)^2)

    sqrt( (7^2  + (-11)^2)

   sqrt( 49+121)

   sqrt( 170)

 13.038

Rounding to the nearest tenth

13.0

Answer:

19

Step-by-step explanation:

The ratio of green beans (g) to pumpkin (p) is ...

... g : p = 1 : 5

Then the ratio of green beans to the total is ...

... g : (g+p) = 1 : (1+5) = 1 : 6

Since you have

... g/total = (1/6)

... g = total · 1/6

you can substitute 114 for the total to find ...

... g = 114 · 1/6 = 19

Answer:

It is 80

Step-by-step explanation:

This because of when we divided the number 400 by 15 we got 26.6' an infinite number this is how many times the survey 12/15 was taken then if we then times this by 3 we get 80 which is the amount of people who prefer their own dinner

Answer: length = 7 c, and width = 6 cm

Step-by-step explanation:

Answer: [tex]10(512 – c) + 5c = 3,570[/tex]

Step-by-step explanation:

Given : The number of student tickets sold is represented by c.

For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each.

The sellers collected $3,570 from 512 tickets sold.

Since , the total tickets sold = 512

Therefore , the number of adults ticket = [tex]512-c[/tex]

Now, cost of total child tickets : [tex]5c[/tex]

Cost of total adult tickets = [tex]10(512 – c)[/tex]

Now, according to the cost of the tickets , we have the following equation :-

[tex]10(512 – c) + 5c = 3,570[/tex]

Plug the coordinates of the point in the equation and solve for b:

[tex] y=bx-2 \iff -3=4b-2 \iff 4b=-1 \iff b=-\dfrac{1}{4} [/tex]

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b).

We have the points (4, -5) and (0, -2) → y-intercept → b = -2.

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\dfrac{-2-(-5)}{0-4}=\dfrac{-2+5}{-4}=\dfrac{3}{-4}=-\dfrac{3}{4}[/tex]

Therefore we have the equation of a line

[tex]y=-\dfrac{3}{4}x-2[/tex]

Convert to the standard form: [tex]Ax+By=C[/tex]

[tex]y=-\dfrac{3}{4}x-2\qquad\text{multiply both sides by 4}\\\\4y=-3x-8\qquad\text{add 3x to both sides}\\\\\boxed{3x+4y=-8}[/tex]

So for this, I will be putting the equation into slope-intercept form then rearranging it into standard form. Firstly, we need to solve for the slope. To do this, take the 2 coordinates given to us and solve as such:

[tex]\frac{-5-(-2)}{4-0}=-\frac{3}{4}[/tex]

Now, one of the coordinates given to us is (0,-2), which is the y-intercept. With all this info, our slope-intercept equation is [tex]y=-\frac{3}{4}x-2[/tex] . From here we can solve for the standard form.

Firstly, add 3/4x onto both sides of the equation:

[tex]\frac{3}{4}x+y=-2[/tex]

Now, it may appear that we are finished. However, 3/4 is not an integer (Integers are whole numbers). To make it an integer, we need to multiply both sides by 4:

[tex]3x+4y=-8[/tex]

In short, the standard form of this equation is 3x + 4y = -8.

Answer:

The balance after 15 year is  $831.25 .

Step-by-step explanation:

Formula

[tex]Amount = P (1 + r)^{t}[/tex]

Where P is the principle and r is the rate of interest in the decimal form and t is the time.

As given

Caiden earned $475 from mowing lawns last summer.

He deposited this money in an account that pays an interest rate of 3.8% compounded annually.

Here

P = $475

3.8% is written in the decimal form.

[tex]= \frac{3.8}{100}[/tex]

= 0.038

r = 0.038

t = 15 years

Put in the formula

[tex]Amount = 475 (1 + 0.038)^{15}[/tex]

[tex]Amount = 475 (1.038)^{15}[/tex]

[tex]Amount = 475\times 1.75(Approx)[/tex]

Amount = $831.25

Therefore the balance after 15 year is  $831.25 .

Caiden will have approximately $850.91 in his account after 15 years of interest compounded annually at a rate of 3.8%.

In this problem, we're dealing with compound interest, not simple interest. The formula to calculate compound interest is: A = P (1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest; P is the principal amount (the initial money); r is the annual interest rate (in decimal); n is the number of times that interest is compounded per year; and t is the time the money is invested for in years. In this case, P equals $475, r equals 3.8/100 or 0.038 (transforming percentage to decimal), n is 1 (because the interest is compounded annually), and t is 15 years. Substituting these values into the formula gives: A = $475 (1 + 0.038/1)^(1*15). Calculate the bracketed part first, resulting in a figure around 1.038 and raise it to the power of 15, so we get a value around 1.7914. Multiply this by the initial amount of $475 to get the final balance after 15 years which will be approximately $850.91. Hence, Caiden will have $850.91 in his account after 15 years.

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Answer: 140 Hot dogs and 83 sodas.

Step-by-step explanation:

Alright, so we will say that h = hot dogs and s = sodas.

h + s = 223

I have used the guess and test strategy to get:

h = 140

140 - 57 = 83

s = 83

Check: 83 + 140 = 223

Answer:

9 hours

Step-by-step explanation:

First off we need to subtract 17 from 71 in order to get rid of the initial cost. This will lead us to 54. The last thing we need to do is divide that by 6 since you pay 6 hours per hour. Mike paid 71 dollars to rent a bike for 9 hours.

The largest interior diameter of the new pipe that would still fit inside the old one is 0.38 inches, after taking into account the thickness of the plumbing tape and additional space requirement.

The plumber is attempting to fit a new pipe into an old pipe with an interior diameter of 0.63 inches. We need to take into account the thickness of the plumbing tape that will add an extra 0.15 inches to the diameter, as well as the requirement that the new pipe must be 0.1 inches smaller to fit inside the old pipe.

To calculate the largest interior diameter the new pipe can have, we should do the following:

So, the largest interior diameter of the new pipe that will fit in the old one is 0.38 inches.

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Answer:

Step-by-step explanation:

Subtract the 680 from 960, then divide the product by 52000 to get the answer

Answer:

13 miles

Step-by-step explanation:

Write and solve an equation involving this information, using x as the distance traveled, in miles:

Cost(x) = $6.75 = $3.50 + ($0.25/mile)x

First, subtract $3.50 from both sides, obtaining:  $3.25 = ($.25/mile)x.

Next, divide both sides by $0.25/mile:

        $3.25

x = ------------------ = 13 miles

      $0.25/mile

The length of the taxi ride was 13 miles.

Answer:

591

Step-by-step explanation:

the closest number to 600 out of every combo

195

159

951

915

519

591

Answer: 591

Step-by-step explanation:

From the digit 1, 9 and 5. The following numbers can be gotten if we use the 3 numbers.

159

195

519

591

915

951

Of all the numbers, the closest to 600 are 519 and 591.

To the nearest 100, 519 gives 500 while 591 gives 600. Therefore, the answer is 591.