It takes Alex 22 minutes to walk from his home to the store. The function (x) - 2. 5x models the distance that Alex has walked in x minutes after leaving his house


to go to the store. What is the most appropriate domain of the function?

In the image, we can identify the region of the plane in which the two subregions overlap (the part of the graph which has vertical and horizontal lines). We can obtain the values of x and y in that region by means of the inequalities, in this way:

We solve the first inequality for y

This gives us the first constrain for the value of y

Now, to obtain the second constrain we simply need to use the second inequality:

Finally, the last step is to get the constraints for the value of x.

For this, we can directly analyze the image of the region, notice how it covers any value of x. This means that there are no constraints for the value of x.

So, the region is given by:

Finally, the point that is in the region is the one that satisfies the previous inequalities.

1. (2,0)

If x=2, then

So, (2,0) cannot be the correct option

2. (0,2)

This means that (0,2) cannot be the right option

3. (0,3) notice that the same condition (y>2) holds in this situation too (since x=0)

But y=3>2. This point indeed satisfies the conditions! (0,3) is the answer

4. (0,-1) Notice that in this case y=-1 but it should happen that y>2. So this point cannot be in the region

Answer:

Bottom left

Step-by-step explanation:

It covers the most points

Answer:

Cups of carrot needed for 9 servings = 4.5 cups

Step-by-step explanation:

A recipe for sesame chicken calls for cup of chopped carrots

recipe 2 is for 4 servings

That is

2 cups of carrot = 4 servings

2 : 4

= 1 : 2

1 cup of carrot = 2 servings

how many cups of

carrots are needed for 9 servings?

Let x= number of carrot needed for 9 servings

1 : 2 = x : 9

1 /2 = x/ 9

Cross product

1*9 = 2*x

9=2x

Divide both sides by 2

9/2 = x

x= 4.5 Or 4 1/2

Answer:

A

Step-by-step explanation:

Answer:

x:b116.67

Step-by-step explanation:

120/100

140×100/120

Answer:

5.5

Hope it helps!

In the statistics, there is sufficient evidence to support the startup's claim that the battery life of its cell phone is more than two hours longer than the leading product.

The null hypothesis is that the mean battery life of the startup's product is not more than two hours longer than the leading product. The alternative hypothesis is that the mean battery life of the startup's product is more than two hours longer than the leading product.

The test statistic is:

t = (7 hours and 53 minutes - 5 hours and 39 minutes) / (83 minutes / ✓(51))

= 2.57

The p-value is:0.011

Since the p-value is less than 0.05, we can reject the null hypothesis. Therefore, there is sufficient evidence to support the startup's claim that the battery life of its cell phone is more than two hours longer than the leading product.

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Answer:

0.53333333333

Step-by-step explanation:

pls give me brainlest

Answer:

8/15 or 0.5333

Step-by-step explanation:

Nathan played 4 games and went on 8 rides.

Nathan went to a carnival and spent $34. Games cost $1 each and rides cost $3.75 each. Let's say Nathan played x games and went on y rides. We know that x + y = 34 and y = 2x. We can substitute the second equation into the first equation to get x + 2x = 34. Solving for x, we get x = 4. Plugging this value back into y = 2x, we get y = 8.

Here is a table of Nathan's expenses:

Item    Cost                            Quantity                       Total Cost

Games $1                                        4                               $4                          

Rides $3.75                                8                               $29.00

Total $34.00

Nathan had a great time at the carnival and spent his money wisely. He played four games and went on eight rides, which is a good amount of entertainment for the price.

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The expected value of the number of people selected before and including the first time a woman has a turn is 1.6667 and the standard error is 0.7454.

It should be noted that the expected value will be:

1[p(x = 1)] + 2[p(x = 2)] + 3[p(x = 3)]

= 1(0.5) + 2(0.3333) + 3(0.1667)

= 1.6667

Var(X) = E(X²) - E(X)2

= 3.3335 & (1.6667)²

= 0.555611

The standard error will be:

= ✓0.555611

= 0.7454

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Answer:

Step-by-step explanation:

-7(1-10)

10-1=9

9 – -7=2

Answer:

B. 7 1/2

Step-by-step explanation:

8x=12

x = 1.5

2y+10=22

2y = 12

y = 6

1.5 + 6 = 7.5

So, the sum of the solutions of the two equations is

B. 7 1/2

Answer:

Step-by-step explanation:

firstly we solve 8x=12 we divide both sides by 8 since 8 is the coefficient of x so we are trying to find x that is 8x divided by 8 which is x =12 divided by 8 which is 1.5 which means x=1.5 then we solve the second one 2y+10=22 we collect like terms which means 2y=22-10 as you should know the 10 changes to negative when crossed over to the other side so then 2y=12 is the answer then we divide both sides by the coefficient of y which is 2 so 2y divided by 2 =y 12 divided by 2 = 6 so y=6 then we add both of them together x=1.5+(y=6) so add 1.5 and 6 together answer is 7.5 or 7  1/2

No, the answer is not correct

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction using polynomials as the numerator and denominator.

In the second step, the student didn’t use the quotient of powers property correctly.

They should have subtracted inside the parentheses instead of dividing. This would have left them with x^(4/5).

They should have then multiplied this power by ^(1/2) resulting in x^(4/10) which simplified is x^(2/5) which is the correct answer.

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Caroline bought chips and an 8-pack of juice bottles. To find the cost of each juice bottle (xx), we'll use an equation that represents the total cost before tax. This will us an answer of 1.88.

Caroline bought a bag of chips for $2.39 and an 8-pack of juice bottles. Let's represent the cost of each juice bottle with the variable xx. We know that the total cost before tax was $17.43.

To find the cost of each juice bottle, we need to create an equation that represents the total cost before tax. We'll add the cost of the chips to the total cost of the 8-pack of juice bottles, which is 8 times the cost of each bottle (8 * xx).

The equation that represents this context is:

2.39 + 8 * xx = 17.43

Now, we can use this equation to solve for xx, which will give us the cost of each juice bottle.
xx = 1.88

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Answer:

yellow

Step-by-step explanation:

purple could be it too but its yellow

If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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Answer:

The mean absolute deviation of the following set of data is 4.5

Step-by-step explanation:

We need to find the mean absolute deviation of the following set of data.

10,20,12,4,18,8,14,18

For finding mean absolute deviation, first we need to find the mean of the given data set.

The formula used to calculate mean is: \(Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\)

Sum of all data points: 10+20+12+4+18+8+14+18 = 104

Number of data points = 8

So, mean is:

\(Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{104}{8}\\Mean=13\)

Now, we will subtract 13 from the given data points:

10  - 13 = -3

20  - 13 = 7

12  - 13 = -1

4  - 13 = -9

18  -13 = 5

8  - 13 = -5

14  - 13 = 1

18 - 13 = 5

We will take absolute values i.e |-a|=a

So, now the numbers will be:

3,7,1,9,5,5,1,5

We will now find absolute mean deviation by finding mean of newly calculate values

Sum of all data points = 3+7+1+9+5+5+1+5

Number of data points = 8

\(Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{36}{8}\\Mean=4.5\)

So, the mean absolute deviation of the following set of data is 4.5

Answer:

x = 11

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

3x -5 = 2x +6

add 5

3x -5 +5 = 2x +6 +5 =

3x = 2x +11

subtract 2x

3x - 2x = 2x - 2x +11 =

1x = 11

divide by 1

1x/1 = 11/1 =

x = 11

This is a simple one.

We dont know how fast it is going downstream, but we do know it took 3 hours to reach the destination. Now, saying that, when coming back we know it took 4 hours(an hour longer than what we took to get there), and we also know we were moving 5 miles slower per hour. If we think a bit, we can see that moving 5 miles slower made us take a whole hour. Making me believe that when we were headed to our destination we were moving at 20 miles per hour, and when we were headed back, we moved at 15mph(20-5)

To check that this was correct, we can just simply check, "okay so from our point to our destination we traveled 60 miles in total. if we went 20 miles an hour, in 3 hours(3×20) we would be at our destination, and if we traveled at 15 miles an hour, it would take us 4 hours to get back to our starting point (4×15)

HOPE THIS HELPED. PLEASE CONSIDER LEAVING A 5 STAR, A HEART AND MAKING THIS THE BRAINLIEST ANSWER THAT WOULD BE SO VERY MUCH APRECIATED!!!!

To write and equation we call y=oil and x=vinager, so:

To find the constant k we can use the point in the picture (vinager, oil) = (x, y) = (1, 1.5), so:

So, the equation is:

Now, the meaning of the point (1, 1.5) is for 1 amount of vinager you need 1.5 amount of oil.

The set of data that represents the interquartile range and the maximum, in that order, is (80 - 70, 95), which simplifies to (10, 95).

Looking at the box plot, we can see that the box spans from approximately 65 to 85, with the median at around 75. To find the values for the interquartile range and maximum, we need to determine the exact values for Q1, Q3, and any outliers.

From the box plot, we can estimate that Q1 is around 70 and Q3 is around 80.

The median of the lower half of the data is the middle value between the smallest value and the median, which is approximately 68.

The median of the upper half of the data is the middle value between the median and the largest value, which is approximately 83.

To find the maximum value, we look for the highest data point that is not an outlier. From the box plot, we can see that there are no outliers, so the maximum value is the highest value in the data set, which is approximately 95.

Therefore, the set of data that represents the interquartile range and the maximum, in that order, is (80 - 70, 95), which simplifies to (10, 95).

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Answer:

y=29

x=9

Step-by-step explanation:

plug the first equation into the second one as y

2x+y=47

solve

then plug answer u got in x

y=3(9)+2

solve

The increase, in percentage form, is of the 98%.

Suppose we have an initial value A, such that A is equivalent to the 100%.

If we multiply A by 1.98, we get:

1.98*A = 1.98*100% = 198%

Then the increase is given by:

1.98*A - A = 0.98*A ⇒ 198% - 100% = 98%

The increase is of the 98%.

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Answer:

Our wide range of vitamins, minerals and health supplements help to ensure you’re getting the nutrients you need every day. From chewable vitamins to food supplements, hair vitamins to vitamins for skin and folic acid. There is something for everyone to support a healthy lifestyle, whilst improving wellbeing for you and all the family.

The cube roots of i are:

Given:

cube root of i

i can be written as cosπ/2 + i sinπ/2

i = cos π/2 + i sinπ/2

general form:

i = cos (2kπ + π/2) + isin(2kπ + π/2) for k=0,1,2

= cos (4kπ+π/2) + i sin(4kπ+π/2)

= cos (4k+1)π/6 + i sin(4k+1) π/6

k = 0: i¹/³ = cos π/6 + i sin π/6

= √3/2 + i 1/2

K = 1, i¹/³ = cos(5π/6) + i sin(5π/6)

= cos(π - π/6) + i sin (π-π/6)

= - cos (π/6) + isin(π/6)

= -√3/2 + i 1/2

k = 2, i¹/³   cos(3π/6) + i sin(3π/6)

= cos (3π/2) + i sin(3π/2)

= cos(π+π/2) + i sin(π+π/2)

= -cos(π/2) - i sin(π/2)

= 0 - i

= -i

Hence we get the required roots.

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Answer:

66 inches

Step-by-step explanation:

perimeter = 2(l+b)

here, perimeter is 50 and length is 17

let the width be x,

=>    50 = 2(17+x)

=>    50 = (2*17)+(2*x)

=>    50 = 34 + 2x

=>    50 - 34 = 2x                      [transposing method]

=>    16 = 2x

=>    16/2 = x

=>     8 = x

8 inches = width of the first triangle

we know, the other rectangle's length is 17

and it is said that the width is twice the width of the first triangle

so the length = 17, width = 2*8 = 16

for the perimeter

p = 2(l+b),

=>       p =  2(17+16)

=>       p =  (2*17)+(2*16)

=>       p =   34+32

=>       p  =   66

          so the perimeter of the other rectangle is 66

Answer:

66

Step-by-step explanation:

that answer was incorrect. change your answer and try again!

The change of basis matrix from V to U is:

[v[U]] = [[3, 0, 1],

[1, 1, 2],

[1, -2, -3]]

To find the change of basis matrix from the basis V to the basis U, we need to express each vector in the basis U in terms of the basis V.

Let's denote the change of basis matrix from V to U as [v[U]]. We can find the matrix by expressing each vector in the basis U as a linear combination of the vectors in the basis V, and then arranging the coefficients as columns in the matrix.

To express U₁ in terms of the basis V, we need to find the coefficients a₁, a₂, and a₃ such that:

U₁ = a₁V₁ + a₂V₂ + a₃V₃

Substituting the given values:

2x + x + 3 = a₁(x² + 1) + a₂(x² + 2x + 2) + a₃(-3x² + x - 2)

Expanding and rearranging:

2x + x + 3 = (a₁ + a₂ - 3a₃)x² + (2a₂ + a₃)x + (a₁ + 2a₂ - 2a₃ + 3)

Equating the coefficients of the powers of x, we have the following system of equations:

a₁ + a₂ - 3a₃ = 0

2a₂ + a₃ = 1

a₁ + 2a₂ - 2a₃ + 3 = 3

Solving this system, we find a solution: a₁ = 3, a₂ = 1, a₃ = 1.

Similarly, we can express U₂ and U₃ in terms of the basis V:

U₂ = b₁V₁ + b₂V₂ + b₃V₃

U₃ = c₁V₁ + c₂V₂ + c₃V₃

Following the same procedure as above, we find the solutions: b₁ = 0, b₂ = 1, b₃ = -2 for U₂, and c₁ = 1, c₂ = 2, c₃ = -3 for U₃.

Now we can construct the change of basis matrix [v[U]]:

[v[U]] = [[a₁, b₁, c₁],

[a₂, b₂, c₂],

[a₃, b₃, c₃]]

Substituting the values we found:

[v[U]] = [[3, 0, 1],

[1, 1, 2],

[1, -2, -3]]

So, the change of basis matrix from V to U is:

[v[U]] = [[3, 0, 1],

[1, 1, 2],

[1, -2, -3]]

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Complete question =

In P₃ consider the bases U = {U₁, U₂, U₃} and V = {V₁, V₂, V₃} where

U₁ = 2x + x +3

U₂ = x² - x + 2

U₃ = 4x + 1

V₁ = x² +1

V₂ = x² + 2x +2

V₃ = -3x² + x-2

Find the change of basis matrix v[U].

We have the following:

Multiplication is the product between two numbers, it is the number of times the number to be multiplied is repeated. In this case, it would be 1 time 1

The answer is 1

Answer:

The survey represents quantitative data and there is greater percentage of LA residents who own cars than NYC residents who do.