sophia has $8 to spend on lunch .does she have enough money for a sandwich a drink and a bag of chip?​

The series Σ (5)/(x^(1/5)), n=1 to infinity is divergent.

Step:1. Write the given series: Σ (5)/(x^(1/5)), n=1 to infinity
Step:2. Set up the corresponding integral: ∫ (5)/(x^(1/5)) dx, from 1 to infinity
Step:3. Evaluate the integral
Step:4. Analyze the result to determine if the series converges or diverges
Let's evaluate the integral: ∫ (5)/(x^(1/5)) dx, from 1 to infinity
First, rewrite the integrand with a negative exponent: ∫ 5x^(-1/5) dx, from 1 to infinity
Now, integrate with respect to x: 5 * (x^(1 - 1/5) / (1 - 1/5)) evaluated from 1 to infinity
= 5 * (x^(4/5) / (4/5)) evaluated from 1 to infinity
Now, evaluate the integral at the limits: (5/4) * (x^(4/5)) evaluated from 1 to infinity
= (5/4) * [(∞^(4/5)) - (1^(4/5))]
= (5/4) * [∞ - 1]
Since the integral evaluates to infinity, it means that the integral diverges. According to the Integral Test, if the integral diverges, the original series also diverges.
Therefore, the series Σ (5)/(x^(1/5)), n=1 to infinity is divergent.

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Correct question is;

Kim ordered a pizza. He has a $1.00 coupon which will get applied after a weekday discount of 15%. Let the X be the original cost of the pizza, C(x) = the cost with the coupon discount applied, and D(x) = the cost with the weekday discount applied.

Which expression gives the cost for Kim’s pizza?

A) C(x) + D(x)

B) D(C(x))

C) C(D(x))

D) C(x) × D(x)

Answer:

Option C: C(D(x))

Step-by-step explanation:

We are given that;

C(x) = the cost with the coupon discount applied

D(x) = the cost with the weekday discount applied.

Since there is a weekday discount, it means the cost for Kim's pizza will be a function of the discount.

This means that the cost will be C as a function of (D(x)). This can be written as; C(D(x))

The correct answer is option b which is the exponential grows at the same rate as the quadratic.

The complete question is given below with the graph attached:-

An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval

a. The exponential grows at half the rate of the quadratic.

b.The exponential grows at the same rate as the quadratic.

c.The exponential grows at twice the rate of the quadratic.

d.The exponential grows at four times the rate of the quadratic.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.

The rate of change of a function f(x) over an interval

a ≤ x ≤ b

is given by

\(\dfrac{f(b)-f(a)}{b-a}\)

Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval

0 ≤ x ≤ 1

is given by

\(\dfrac{f(1)-f(0)}{1-0}= \dfrac{2-1}{1}=1\)

Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval

0 ≤ x ≤ 1

is given by

\(\dfrac{g(1)-g(0)}{1-0}=\dfrac{1-0}{1}=1\)

Therefore, the exponential grows at the same rate as the quadratic in the interval .

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To find the area of the shaded region, we need to determine the limits of integration and evaluate the definite integral of the difference between the functions f(x) = (x - 2)² and g(x) = x. The result will give us the area in square units.

The shaded region is bounded by the curves of the functions

f(x) = (x - 2)² and g(x) = x.

To find the area of the region, we need to calculate the definite integral of the difference between the two functions over the appropriate interval.

To determine the limits of integration, we need to find the x-values where the two functions intersect.

Setting the two functions equal to each other, we have (x - 2)² = x. Expanding and simplifying this equation, we get x² - 4x + 4 = x. Rearranging, we have x² - 5x + 4 = 0.

Factoring this quadratic equation, we get (x - 1)(x - 4) = 0, which gives us two solutions: x = 1 and x = 4.

Therefore, the limits of integration for finding the area of the shaded region are from x = 1 to x = 4. The area can be calculated by evaluating the definite integral ∫[1 to 4] [(x - 2)² - x] dx.

Simplifying and integrating, we have ∫[1 to 4] [x² - 4x + 4 - x] dx = ∫[1 to 4] [x² - 5x + 4] dx. Evaluating this integral, we find the area of the shaded region is 3 square units.

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Answer:

x = 68

y = 90

Step-by-step explanation:

The angles inside any quadrilateral add up to 360

For the first shape, it is a parallelogram, meaning the opposite angles are equal.

360 - 112 - 112 = 2x

2x = 136

x = 68

Second shape:

z = 360 - 110 - 85 - 75

z  = 90 <- y is the outside angle, meaning y is not (always) equal to z

y = 180 - z

y = 90

Answer:

for e, x = 68

i dont know where the x is on f.. but the missing inner angle should be 90

Step-by-step explanation:

the parallel lines means that the opposite interior angles are the same, so 112 + 112 = 224

360 - 224 = 136

136 ÷ 2 = 68

The total weekly salary of all employees will be $53,500.

To find the salary that half the employees' salaries surpass, we need to find the median, which is given as $615.

To find the percentage of employees' salaries that surpassed $735, we can use the 83rd percentile, which tells us that 83% of the salaries are less than or equal to $875. Since $735 is less than $875,

We know that the percentage of salaries that surpassed $735 is 100% - 83% = 17%.

To find the percentage of employees' salaries that were less than $455, we can use the first quartile, which tells us that 25% of the salaries are less than or equal to $455.

Therefore, the percentage of salaries that were less than $455 is 25%.

To find the percentage of employees' salaries that surpassed $875, we can use the fact that the 83rd percentile is $875.

This means that 83% of the salaries are less than or equal to $875, so the percentage of salaries that surpassed $875 is 100% - 83% = 17%.

To find the total weekly salary of all employees, we can use the mean, which is given as $535.

Therefore, the total weekly salary of all 100 employees is 100 * $535 = $53,500.

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\((\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{1}}} \implies \cfrac{ 6 }{ 1 } \implies 6\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 6}(x-\stackrel{x_1}{1}) \\\\\\ y-1=6x-6\implies {\Large \begin{array}{llll} y=6x-5 \end{array}}\)

The formula for the nth term of the sequence is n+1 = n+2, n+3, n+4,

You should recall that a sequence is an ordered list of numbers or objects that exhibit a particular pattern

The given parameter are 2, 3, 1, 4, 0

From the sequence, it is ascertained that each term is gotten by

1 ) First term = 2

2nd term = 2 + 1 = 3

3rd term = 2nd term - 1st term

⇒3-2 = 1

4th term = 3rd term +2nd term

⇒1 + 3 = 4

5th term = 4th -∑3rd + 4th

⇒4-4 = 0

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Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.

The following equation, y − 8 = 15 (x + 5) is in the slope-intercept form and will be y=15x+83.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

It is given that the equation is,

y − 8 = 15 (x + 5)

y=15(x+5)+8

y=15x+75+8

y=15x+83

A linear equation has the form y = mx + b in the slope-intercept format.

Thus, the following equation, y − 8 = 15 (x + 5) is in the slope-intercept form and will be y=15x+83.

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This represents adding 17 to the additive inverse of 19. By doing so, we effectively subtract 19 from 17.

To rewrite the subtraction expression "17 - 19" using addition without changing the digits, we can use the concept of additive inverse. The additive inverse of a number is the number that, when added to the original number, yields zero.

In this case, we want to rewrite the expression "17 - 19" using addition. We can think of it as finding the additive inverse of 19 and adding it to 17.

An additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value we add to a number to yield zero. Suppose, a is the original number, then its additive inverse will be minus of a i.e.,-a, such that; a+(-a) = a – a = 0.

The additive inverse of 19 is -19, since 19 + (-19) equals zero. Therefore, we can rewrite the subtraction expression as follows:

17 + (-19)

This represents adding 17 to the additive inverse of 19. By doing so, we effectively subtract 19 from 17.

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The subtraction expression 17 - 19 can be rewritten as an addition expression as 17 + (-19) using the concept of negative numbers.

In mathematics, subtraction can be rewritten as addition by using the concept of negative numbers. The subtraction expression 17 - 19 can be rewritten as an addition expression, without changing the digits, by considering -19 as a negative number to be added. Hence, 17 - 19 can be rewritten as 17 + (-19).

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-2x = 28 - 6x --------------------------> Given

-2x + 6x = 28 - 6x + 6x------------------------------>Addition property of equality

4x = 28 -----------------------------------------> Simplification

4x/4 = 28/4 --------------------------------->Division property of equality

x = 7 --------------------------------------->Simplification

Answer:

corresponding angles, alternate exterior angles

Step-by-step explanation:

when you have to parallel lines cut be a transversal, you get different pairs of angles that are either equal or supplementary (add to 180).

For example, corresponding angles are congruent, and alternate exterior angles are congruent.

Answer:

3 19/24

Step-by-step explanation:

1/8×3=3/24

2/3×8=16/24

1 3/24+2 16/24=3 19/24

Answer:

$61.50

Step-by-step explanation:

82*25%= 20.50 off

82.00-20.50= $61.50

Answer:

82*0.75= $61.50

or you could've done

82*0.25= 20.5

82- 20.5= $61.5

Answer:

Lookie here the total profit is 357.03

Answer:

Order is important: If allowed 11881376

Order is important:If rep. Is not allowed 7893600

Step-by-step explanation:

If the order isnt important and repetition is not allowed 65780

If order isn’t important and repetition is allowed 142506

Answer:

16.25, 20, 13.75, 12.5, 7.5

Step-by-step explanation:

1cm= 2.5m

6.5x2.5= 16.25

8x2.5= 20

5.5x2.5= 13.75

5x2.5= 12.5

3x2.5= 7.5

The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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Answer:

x = 3 cm

Step-by-step explanation:

The chords that are equal distance from the center are equal.

       CD = AB

  4x + 8 = 20

Subtract 8 from both sides,

          4x = 20 - 8

          4x = 12

Divide both sides by 4,

            x = 12 ÷4

            \(\sf \boxed{x = 3 \ cm}\)

We have 125 = 5³ and 1/5 = 0.2. Then

1/125 = (1/5)³ = 0.2³ = 0.008

so that

4  27/125 = 4 + 27 • 0.008

… = 4 + 0.216

… = 4.216

Answer:

Step-by-step explanation:

We have been given a mixed fraction - 4 .

there are 4 wholes of 125 and remaining 27. then numerator is equal to 125 x 4 + 27 = 527.

then the improper fraction is .

To write as a decimal , the denominator should be a power of 10. denominator 125 can be multiplied by 8 to get a power of 10.

125 x 8 = 1000. both numerator and denominator should be multiplied by 8

now to write as a decimal, 4216 has been divided by 1000.

when dividing by a power of 10, the decimal point should move to the left.

when dividing by 1000, the decimal point should move 3 decimal places to the left. the decimal point of 4216 is after 6, when it moves 3 places to the left its between 4 and 2. Therefore answer is 4.216, PLEASE, can you give me the brainlies

Jerry's cost of going to college is $29,000.

Jerry's cost of going to college is $29,000. The cost of going to college is a major concern for many students. As a result, making a sound financial plan is essential when considering post-secondary education. It is important to weigh the costs of going to college against the benefits of obtaining a degree. Jerry has to make a choice between going to college or working in a store. If he chooses to go to college, he will have to spend $15,000 on tuition, $12,000 on room and board, and $2,000 on books. Therefore, his total cost of attending college is

$29,000 ($15,000 + $12,000 + $2,000).

If he decides not to go to college, Jerry will earn $27,000 by working in a store and spend $10,000 on room and board. By adding up his earnings and expenses, he will have a total of

$17,000 ($27,000 - $10,000)

In this case, it is less expensive for Jerry not to go to college. He will have $12,000 more in his pocket ($17,000 - $29,000) if he does not go to college. Therefore, Jerry's cost of going to college is $29,000.

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Answer:

move every dot to the left by two units and flip the whole thing over the y axis

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

(2, 3)

Step-by-step explanation:

lines with undefined slopes are vertical lines

The average of the squared distances of the data values from the mean is known as the variance.

Variance is a statistical measure that quantifies the spread or dispersion of a dataset. It is calculated by taking the mean of the squared differences between each data point and the mean of the dataset. By squaring the differences, the negative values are eliminated, and the distances from the mean are emphasized. The resulting variance value provides insights into how closely the data points are clustered around the mean. A larger variance indicates a wider spread of data points, while a smaller variance suggests a more concentrated distribution. Variance is commonly used in various fields, including finance, physics, and social sciences, to analyze and compare datasets.

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Answer:

13

Step-by-step explanation:

(7x3)-2(5+1)+4=13

Answer:

A, D, E, F

Step-by-step explanation:

If you graph those four equations or plug in 0 as x, you would find that all of them are equal to -8

Answer:

Step-by-step explanation:

Given :

⇒ (x + 4)(3x - 5) = 0

The solutions will make the answer 0.

Therefore,

⇒ x = 4

⇒ 3x = 5 ⇒ x = 5/3

Answer:

9

Step-by-step explanation:

-77+5=-72

-72 divided by -8 = 9