a mobile food vendor sells hot apple cider and ice cream at special events throughout the year. the function f(x)=500x2+10,000f(x)=500x2+10,000can be used to model the food vendor's annual revenue  xx years from now.when should the food vendor expect to bring in $ 60,00060,000 in annual revenue?−3x-3x−5x-5x−2x-2x

Answer:

36

Step-by-step explanation:

To find area you multiply length×width which is the same as 9×4

9×4= 36

Answer:

36 centimeters

Step-by-step explanation:

A = l x w

A = 9 x 4

A = 36

The probability that one of the scores in the sample is less than 1585 is 4.9%

Given that,

Given that mean u = 1585

standard deviation σ = 80

sample size n = 33

Probability means is the ability to happen. The subject of this area of mathematics is the occurrence of random events.The value is expressed in the range of 0 to 1. Probability has been brought to mathematics to predict the likelihood of events. Probability is essentially defined as the degree to which something is likely to occur.

P(x<1585) = P(X-u/σ < 1585-1595/80)

                 = P (X-u/σ  < -0.125)

P(x<1585) = 0.45026

P(x>1585) = 1 - P(x<1585) = 0.54974

P(1585<x<1595) = 0.5 - P(x<1585) = 0.049738

So, The probability that one of the scores in the sample is less than 1585 is 4.9%

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Answer:

i need the answer

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

You have $30

Gas is $2.50

You need 15 gallons.

So to show how much you need for gas you would write this equation:

30= 2.5x

To solve:

30/2.5 = 2.5x/2.5

12 = x

x is the amount of gallons you will recieve.

When the trinomial 3x² - x - 10  is factored completely, one of its factors is 3x+5.

Solving the given trinomial 3x² - x - 10.

=>3x² - 6x+5x - 10

=>3x(x-2)+5(x-2)

=>(3x+5)(x-2)

The two factors of the given trinomial 3x² - x - 10 is (3x+5) and (x-2), but according to the given options, the correct answer is option C - 3x+5.

Thus, When the trinomial 3x² - x - 10  is factored completely, one of its factors is 3x+5.

Complete question: 3x² - x - 10

When this trinomial is factored completely, one of its factors is

A) x + 2

B) x - 5

C) 3x + 5

D) 3x - 2

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Based on the given information, the test statistic (t0) is -3.56, which indicates that the sample mean is 3.56 standard errors below the hypothesized population mean of 9 mobile apps.

The significance level (α) is 0.10, which means that the researcher has allowed for a 10% chance of rejecting the null hypothesis (H0) when it is actually true. The p-value is less than 0.01, which indicates that the probability of observing a sample mean at least as extreme as the one obtained, assuming the null hypothesis is true, is less than 1%. Therefore, we need to compare the p-value with the significance level. Since the p-value is less than the significance level, we reject the null hypothesis. This means that we have strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps. Therefore, the correct answer is option d: Reject H0. There is strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps.

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1 / 3 of peanut butter cookies as the number of boxes of lemon cookies sold

Given: Lila sold 1/3 as many boxes of lemon cookies as peanut butter cookies

What is algebra?

Algebra is a domain in mathematics that is used to describe a problem statement in a short and more precise way, simply by pointing the key points. If consist a sequence or combination of characters containing letters, numbers, symbols and more. It is very helpful in assuming conditions where a single or multiple object or element is under the influence of single or multiple objects or elements. We can easily describe it with the help of algebra. Sometimes the assumed expression itself becomes a solution for a given problem when the unknown variable values are known.

We can also make predictions with our expressions for a future event.

Hence algebra plays an important in our life knowingly or unknowingly and even our names, words etc. all can be thought of as the unknown variables with a name and we are the instances which are acting as values for particular names in unique ways.

Every problem's solution is unique to the problem but it can be extended to make relations with other problems with a similar approach or thoughts.

Now let's solve the given question:

Let the number of boxes of lemon cookies sold be x and the number of boxes of peanut butter cookies sold be y.

According to the question,

boxes of lemon cookies = 1/3 boxes of peanut butter cookies

Hence Lila sold 1 / 3 of peanut butter cookies as the number of boxes of lemon cookies.

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The derivative of k(x) at x = 5 is equal to the sum of the products of each individual function's derivative with the remaining functions, and is equal to 195.

The derivative of a product of two or more functions is equal to the sum of the products of each individual function's derivative with the remaining functions.

Therefore, k'(5) = f'(5)g(5)h(5) + f(5)g'(5)h(5) + f(5)g(5)h'(5).

Substituting the given values of f(5), f'(5), g(5), g'(5), h(5), and h'(5) into the equation, we get:

k'(5) = (−4)(−6)(−5) + (3)(−9)(−5) + (3)(−6)(−3) = 6 + 135 + 54 = 195.

Thus, the derivative of k(x) at x = 5 is 195.

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The slope of the line shown is 1

The formula for calculating the slope of a line is expressed according to the formula

Slope = Rise/Run

Slope = y₂-y₁/x₂-x₁

Using the coordinate point (1,-2) and (3, 0)

Slope = 0+2/3-1
Slope = 2/2

Slope = 1

Hence the slope of the line shown is 1

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Answer: h>7

Step-by-step explanation:

By 3 pm they have sold 125 glasses, and they need 300 total, so they need to sell 175 glasses more. At 25 glasses an hour, divide 175 by 25 to find the number of hours, which is 7. So they will need to be open for over 7 more hours to sell more than 300 glasses.

Answer:

C. h>7

Step-by-step explanation:

The fruit and juice bar sold 125 glasses of fruit punch by 3 p.m. To reach their goal of selling more than 300 glasses of fruit punch, they need to sell an additional 300 - 125 = 175 glasses of fruit punch.

We know that they sell 25 glasses of fruit punch per hour. Let's represent the number of hours they need to stay open past 3 p.m. as h. The total number of glasses of fruit punch they sell in h hours is 25h.

We need to find the value of h that satisfies the following inequality:

25h > 175

Dividing both sides by 25 gives us:

h > 7

Therefore, the fruit and juice bar needs to stay open for more than 7 hours past 3 p.m. to sell more than 300 glasses of fruit punch. The answer is option C: h > 7.

Answer:

(-2,0)

Step-by-step explanation:

So, y = (1/2)(x + 8) is the equation of the linear function.

To write the equation of a linear function with a given x-intercept and y-intercept, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

In this case, we are given that the x-intercept is (-8, 0) and the y-intercept is (0, 4). We can use the coordinates of the x-intercept as (x1, y1) and the slope of the line as m to write the equation:

y - 0 = m(x - (-8))

y = m(x + 8)

We can then substitute the y-intercept into this equation to find the value of m:

4 = m(0 + 8)

4 = 8m

m = 1/2

Substituting the value of m back into the equation, we get:

y = (1/2)(x + 8)

This is the equation of the linear function.

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y - y1 = m(x - x1)

y - 0 = m(x - (-8))

y = m(x + 8)

We can then substitute the y-intercept into this equation to find the value of m:

4 = m(0 + 8)

4 = 8m

m = 1/2

Substituting the value of m back into the equation, we get:

y = (1/2)(x + 8)

Answer:

2.625 gallons per minute

Step-by-step explanation:

8.4/3.2=2.625

Answer:

Step-by-step explanation:

The order of the transformations affects the values used for translation. Here, the translation is described before the reflection and compression.

__

The grayed-out graph of the square root function opens to the right. The darker graph of the transformed function opens to the left, so the reflection is across the y-axis.

__

The square root function goes through the point (1, 1), that is, 1 unit right of the vertex, and 1 unit up. The transformed function goes through the point (1, -1/2), that is, 1 unit left of the vertex and 1/2 unit up. The vertical height of 1 unit on the original graph is compressed to a height of 1/2 unit on the transformed graph. Vertical compression is by a factor of 1/2.

__

The description of the transformation gives the translation before the reflection and compression. So, to find where the uncompressed and unreflected vertex is, we need to reverse those transformations.

Expanding the transformed square root graph by a factor of 2 will undo its compression by a factor of 1/2. That will move the vertex from (2, -1) to (2, 2×(-1)) = (2, -2).

Reflecting this expanded function back across the y-axis will undo the original reflection. That moves the vertex from (2, -2) to (-2, -2). This is where the original translation left the function's vertex before the reflection and compression moved it to the location shown.

The translation is right -2 and down 2.

_____

Additional comment

It is possible that you will get pushback on these answers. If so, you should have your teacher demonstrate the transformations in the order described.

__

In the order described, we have ...

  \(f(x)=\sqrt{x}\\\\f_1(x)=\sqrt{x-(-2)}=\sqrt{x+2}\qquad\text{translation right -2}\\\\f_2(x)=\sqrt{x+2}-2\qquad\text{translation down 2}\\\\f_3(x)=\sqrt{-x+2}-2\qquad\text{reflection in the y-axis}\\\\g(x)=\dfrac{1}{2}(\sqrt{-x+2}-2)\qquad\text{compression vertically by $\dfrac{1}{2}$}\)

The attached graph shows the result of this sequence of transformations.

__

If the reflection and compression were done before the translation, then the translation would be 2 right and 1 down.

Answer:

1.504 x 10^4

Step-by-step explanation:

Answer:

33 Hours.

Step-by-step explanation:

Their hourly receipts are $23, and their hourly operating costs are $5. So you would subtract the hourly receipts from the hourly operating costs.

23 - 5 = 18

Then you would take the new number and divide the money spent on equipment by the money earned an hour.

594 / 18 = 33

Hope this helps! :)

Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

Answer:

  an = 1/n^2

Step-by-step explanation:

We notice that the denominators are the squares of successive integers. The general term will be ...

  \(\boxed{a_n=\dfrac{1}{n^2}}\)

Answer:

2nd option: the lowest point on the graph is (-2, -2). this is where both sides of the parabola converge. from this point, both lines go up. this means the vertex is a minimum.

Based on a one-sample t-test with a sample mean of 411 grams, a sample standard deviation of 25 grams, and a significance level of 0.0125 (adjusted for a one-tailed test), there is sufficient evidence to conclude that the bags are overfilled. The test statistic and resulting p-value will determine the level of significance and strength of the evidence.

The null and alternative hypotheses can be stated as follows:

Null Hypothesis (H0): The mean weight of the bags filled by the machine is equal to 402 grams.

Alternative Hypothesis (Ha): The mean weight of the bags filled by the machine is greater than 402 grams.

In this scenario, we are testing whether the bags are overfilled, which means we are interested in determining if the mean weight is greater than the specified setting of 402 grams.

To assess the evidence, we will perform a one-sample t-test since we have a sample mean, sample standard deviation, and the assumption of approximately normal population distribution.

The significance level is given as 0.025, which indicates a two-tailed test. Since the alternative hypothesis is one-tailed (greater than), we need to adjust the significance level to account for this.

Therefore, the new significance level for the one-tailed test is 0.025 divided by 2, which equals 0.0125.

In the subsequent steps, we will calculate the test statistic, degrees of freedom, and compare the p-value against the adjusted significance level to make a conclusion about whether there is sufficient evidence to support the claim that the bags are overfilled.

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Answer: 1

Step-by-step explanation:

If heads is 3 more likely to come up than tails, then there are 3 heads for every tails.  

Hope it helps <3

The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.

In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.

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The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .

What is Side-Angle-Side Congruence ?

The Two Triangles can be called as  Congruent by Side-Angle-Side rule  if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .

In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.

The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and

the angles between these two sides of the triangle must  be equal.

So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove  that they are equal.

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Answer:

The thickness of the paper doubles each fold: it's an exponential growth.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the quadrilateral is inscribed into circle, its opposite angles are supplementary:

Substitute the values and solve for x:

Answer:

According to the property of Cyclic Quadrilateral

5x - 22 + 8x + 7 = 180

(5x + 8x) - (22 - 7) = 180

13x - 15 = 180

13x = 180 + 15

13x = 195

x = 195/13

x = 15

\( \\ \)

(a) The point estimate of the population mean is 8

(b) The point estimate of the population standard deviation is 2.1

Detailed explanation of the answers.

(a) To find the point estimate of the population mean, you need to calculate the sample mean. Here's how:
Step 1: Add up all the values in the sample: 6 + 8 + 10 + 7 + 11 + 6 = 48.
Step 2: Divide the sum by the number of values (the sample size): 48 / 6 = 8.
The point estimate of the population mean is 8.

(b) To find the point estimate of the population standard deviation, follow these steps:
Step 1: Calculate the mean, which we already did in part (a) - it's 8.
Step 2: Subtract the mean from each value and square the result: (6-8)² = 4, (8-8)² = 0, (10-8)² = 4, (7-8)² = 1, (11-8)² = 9, (6-8)² = 4.
Step 3: Add up the squared differences: 4 + 0 + 4 + 1 + 9 + 4 = 22.
Step 4: Divide the sum by the sample size minus 1: 22 / (6-1) = 22 / 5 = 4.4.
Step 5: Take the square root of the result: √4.4 ≈ 2.1 (rounded to one decimal place).
The point estimate of the population standard deviation is 2.1.

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The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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