1. Calculate the volume of the rectangular prism. Answers are in cubic
millimeters.
4 mm height
17 mm width
9 mm length

To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

Answer:

6.9263 × 109

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Taylor series for x^3tan^-1x^2 at x0 = 0 can be found by using the power series operations. The Taylor series for x^3tan^-1x^2 at x0 = 0 is:

x^3tan^-1x^2 = x^3(x^2 - (x^2)^3/3 + (x^2)^5/5 - ...)

To find the Taylor series, we need to express the function as a sum of terms with powers of (x - x0). We can start by using the power series for tan^-1x:

tan^-1x = x - x^3/3 + x^5/5 - ...

Then, we substitute x^2 for x and multiply by x^3 to get:

x^3tan^-1x^2 = x^3(x^2 - (x^2)^3/3 + (x^2)^5/5 - ...)

This gives us the Taylor series for x^3tan^-1x^2 at x0 = 0.

We can simplify the expression by expanding the powers of x:

x^3tan^-1x^2 = x^5 - x^7/3 + x^9/5 - ...

This means that the function can be approximated by the sum of these terms, which become more accurate as we include more terms. The Taylor series can be useful for approximating functions and making calculations easier, especially when using computers to perform calculations.

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Answer:

hmmmm sry dk

Step-by-step explanation:

Answer:

X=10

MArk me brainliest

Step-by-step explanation:

Answer: The value of x is 10! How, you might ask, it is because it is reduced!

Answer:

$28.85

Step-by-step explanation:

$25.30 leftover money + $3.55 cost of drink = $28.85 Sheily had before buying the drink.

Answer: 28.85

Step-by-step explanation:

This is an addition problem so the answer is pretty straight forward, if she paid 3.55 for a drink that is how much money she already spent to have that drink. Now that she has a drink the question is simply asking how much she had BEFORE she purchased the drink. So just add 3.55 and 25.30 together and you have your answer. Hope this helped.

In the given regression equation, the slope of the line is - 1.23.

Regression equation:

in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.

Given,

The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)

Here we need to the slope of the line.

While we looking into the given regression equation,

Temperature = 90.4 - 1.23x(latitude)

While we compare this one with the general slope of the line equation,

y = mx + c

where m refers the slope of the line.

Then we get the value of slope as -1.23.

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A triangle can be formed with side lengths 4, 8, 11. Yes, because 4 + 8 > 11

According to the Triangle Inequality Theorem, the largest side cannot be greater than the sum of the other two sides. The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the remaining side.

If the sum of any two sides is greater than the sum of the third, then the difference of any two sides is less than the sum of the third. The sum of any two sides must be greater than the sum of the third. The longest side in a triangle is the side opposite a larger angle.

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Step-by-step explanation:

x+ x-5 + 65 = 180

2x + 60 = 180

Subtract 60

2x = 180-60 = 120

Divide by 2,

x = 120/2 = 60°

x-5 = 60-5 = 55°

According to the table, 34 students ordered medium and large t-shirt.

The question provides information about the number of T-shirts ordered by the Spanish Club, but the number of medium and large shirts ordered by the students is not specified. The table only shows the number of small shirts ordered, which is 11. The values of x and y, which represent the number of medium and large shirts ordered, are not given.

To determine the total number of students who ordered medium and large shirts, we subtract number of students who ordered small t-shirt from total orders.

= 45 - 11

= 34

--The question is incomplete, answering to the question below--

"You are ordering T-shirt for the Spanish Club.

The table show the orders for 45 student in the club :

small 11

medium x

large y

How many students ordered medium and large shirts?"

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The margin of error is 9.8. The answer is (B).

Margin of error (ME) is the amount of random sampling error that is expected in a survey's results. It is the range of values above and below the sample statistic (such as the sample mean or proportion) within which the true population parameter (such as the population mean or proportion) is expected to lie with a certain degree of confidence.

The margin of error (ME) for a 95% confidence interval is given by:

ME = z*(σ/√n)

where z is the z-score for the desired level of confidence (in this case, 95%), σ is the population standard deviation, and n is the sample size.

We are given that σ = 50, n = 100, and the sample mean is 600. To find the z-score, we can use a standard normal distribution table or calculator. For a 95% confidence interval, the z-score is approximately 1.96.

Substituting the values into the formula, we get:

ME = 1.96*(50/√100) = 9.8

Therefore, the margin of error is 9.8. The answer is (B).

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Answer:

new york

Step-by-step explanation:

The statement is false. The function f(x) = 5 cannot be written as f(x) = 51, and the calculation f'(x) = 1.51 - 1 = 1.50 = 1.1 = 1 is incorrect.

In the given statement, f(x) = 5 represents a constant function, where the output value is always 5 regardless of the input value x. Writing f(x) = 51 would be incorrect and not equivalent to f(x) = 5. The value of 51 does not represent the function's behavior or its relationship to the input variable x.

Moreover, the calculation f'(x) = 1.51 - 1 = 1.50 = 1.1 = 1 is also incorrect. The derivative of a constant function, such as f(x) = 5, is always zero. Taking the derivative of a constant function yields f'(x) = 0, not 1. The given calculation attempts to manipulate the numbers in an incorrect manner, leading to an erroneous result.

In conclusion, the function f(x) = 5 cannot be written as f(x) = 51, and the calculation f'(x) = 1.51 - 1 = 1.50 = 1.1 = 1 is incorrect.

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There is 700 number of $5 bills and 200 number of $10 bills

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

Let x represent the number of $5 bills and y represent the number of $10 bills.

There is a total of 900 $5, $10 dollar bills, hence:

x + y = 900        (1)

The value of all the bills is $5500, hence:

5x + 10y = 5500     (2)

From both equation, solving simultaneously:

x = 700, y = 200

There are 700 $5 bills and 200 $10 bills

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Answer:

I could but can you please put down the problem.

Step-by-step explanation:

Answer:

Step-by-step explanation:

For this question they are asking you to find y when x is {2, 4, and 6}

That means you need to plug 2,4, and 6 into the equation and solve.

For example:

f(x) = 5x - 4

f(2) = 5(2) - 4

f(2) = 10 - 4

f(2) = 6

f(x) = 5x - 4

f(4) = 5(4) -4

f(4) = 20 - 4

f(4) = 16

f(x) = 5x - 4

f(6) = 5(6) - 4

f(6) = 30 - 4

f(6) = 26

Answer:

6,16,26 is the answer

Step-by-step explanation:

The probability of drawing the blocks in the order specified (GREEN, RED, PURPLE, RED) is approximately 0.00961, or 0.961%.



To find the probability of drawing the blocks in the specified order (GREEN, RED, PURPLE, RED), we need to calculate the probability of each individual event occurring and then multiply them together.The probability of drawing a green block first is 4/19 because there are 4 green blocks out of a total of 19 blocks.After drawing a green block, there are 18 blocks left, including 8 red blocks. So the probability of drawing a red block second is 8/18.

Next, there are 17 blocks remaining, with 7 purple blocks. Therefore, the probability of drawing a purple block third is 7/17.Finally, after drawing a purple block, there are 16 blocks left, including 7 purple blocks. So the probability of drawing a red block fourth is 7/16.

To calculate the overall probability, we multiply the probabilities of each event: (4/19) * (8/18) * (7/17) * (7/16) = 0.00961 (approximately).

Therefore, the probability of drawing the blocks in the specified order is approximately 0.00961, or 0.961%.

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Answer:

-31

Step-by-step explanation:

a - 8x will change to (-7) - 8(3) = -31

Answer:-31

\(31\)

Step-by-step explanation:

Substitute: \(7 - 8 \times (- 3)\)

Remove the parentheses:\(7 + 8 \times 3\)

Calculate the product or quotient:\(7 + 24\)

Calculate the sum or difference:\(31\)

Answer: \(31\)

Answer:

In an isosceles right triangle, the two legs (or base) are congruent, and the hypotenuse is the longest side and is twice as long as each leg. Therefore, each base angle is 45º.

Answer:

Step-by-step explanation:

L=2w-3

P=42

42=2L+2w=2(L+w)

21=L+w

21=2w-3+w

3w=24

w=8

L=16-3=13

A) the probability that the month selected for the annual sale will be September or October is 1/6.

A) Since we are interested in the probability of selecting September or October, which are two out of the 12 months, the probability can be calculated as:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 2 months / 12 months

Probability = 1/6

Therefore, the probability that the month selected for the annual sale will be September or October is 1/6.

B) To calculate the probability, we need to sum the number of days in September and October and divide it by the total number of days in a year (365 or 366 in a leap year).

Probability = (30 + 31) days / 365 or 366 days

Probability ≈ 61/365 or 366

The exact probability will depend on whether it is a leap year or not.

Comparing the answers from part A and part B, we can see that the probability of selecting September or October using days is slightly different from the probability calculated assuming each month has an equal probability of being selected.

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To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.

When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.

To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.

By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.

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Answer:

(25 x 3) - 14 = 61!

Step-by-step explanation:

Answer:

20oz

Step-by-step explanation:

60%=12oz

this can be simplified into 1%

in order to find 1% divide by 60

60%/60=1%

in order to find out how much 1% is, divide 12oz by the number used to divide the percent

12/60=0.2

so 0.2=1% and we want to know 100% so multiply by 100

0.2x100=20

1%x100=100%

so 20oz=100% of the bottle

Step-by-step explanation:

(a)

\( \frac{b + x}{3} = \frac{b - x}{4} \\ 4b + 4x = 3b - 3x \\ b = - 7x\)

(b)

\(p = \frac{y}{1 + y \\ } \\ p + py = y \\ y - py = p \\ y = \frac{p}{1 - p} \)

(c)

\( \frac{1}{a} = \frac{1}{b} - \frac{1}{c} \\ \frac{1}{c } = \frac{1}{b} - \frac{1}{a} \\ \frac{1}{c} = \frac{a - b}{ab} \\ c = \frac{ab}{a - b} \)

Answer:

You spent $39 this month on clothing

Step-by-step explanation:

Set up the proportion

\(\frac{x}{30} =\frac{130}{100}\)

Cross multiply

130*30 = 100*x

Simplify

3900 = 100x

Solve

x = 39

Answer:

ok sure what the code for kahoot

Step-by-step explanation:

Answer: delation

Step-by-step explanation:

The three sorts of unbending changes are interpretation, revolution, and reflection. Each of these changes can be utilized to demonstrate that two triangles are compatible, as long as the comparing sides and points are compatible after the change.

Be that as it may, there's one change that cannot be utilized to demonstrate coinciding between two triangles, which may be a enlargement. A expansion may be a change that changes the estimate of an protest, but does not protect separations or points. Subsequently, in case we expand one triangle, we cannot ensure that the comparing sides and points of the two triangles will be compatible.