Destiny sells newspapers at a
newsstand outside of her grocery
store. She normally charges $2.35 for
a newspaper. Today, Destiny has
lowered the price by $0.50. So far, she
has sold 8 newspapers at the new
price. How much money has Destiny
made so far from selling newspapers
at the new price?

When the top of the ladder is 16 feet above the ground, the foot of the ladder is moving away from the wall at a speed of approximately 3.86 feet per second.

This is a related rates problem involving a ladder leaning against a wall. Let's denote the distance of the foot of the ladder from the wall as x, and the height that the top of the ladder reaches as y. We are given that dy/dt = -2 ft/s (since the top is slipping down the wall) and we want to find dx/dt (the speed at which the foot of the ladder is moving away from the wall) when y = 16 ft.

Using the Pythagorean theorem, we have:

[tex]x^2 + y^2 = 17^2[/tex]

Differentiating implicitly with respect to time, we get:

[tex]2x(dx/dt) + 2y(dy/dt) = 0[/tex]

Substituting the given values, we get:

[tex]2x(dx/dt) + 2(16)(-2) = 0[/tex]

Simplifying, we get:

[tex]2x(dx/dt) = 64[/tex]

Dividing both sides by 2x, we get:

dx/dt = 64/(2x)

We know that y = 16, so we can use the Pythagorean theorem to solve for x:

[tex]x^2 + 16^2 = 17^2x^2 = 17^2 - 16^2x^2 = 33[/tex]

Taking the square root, we get:

[tex]x = sqrt(33)[/tex]

Substituting this into our expression for dx/dt, we get:

[tex]dx/dt = 64/(2*sqrt(33)) ≈ 3.86 ft/s[/tex]

Therefore, when the top of the ladder is 16 feet above the ground, the foot of the ladder is moving away from the wall at a speed of approximately 3.86 feet per second.

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If the noon class has a symmetric distribution, the median would be 15.

From the given table,

a) Evening class has the highest average age, that is 22 years.

b) Morning class has age that are the most spread out, that is 2.4.

c) If the noon class has a symmetric distribution, the median would be 15 (which is equal to the mean).

Therefore, if the noon class has a symmetric distribution, the median would be 15.

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To rewrite the equation of the circle in graphing form, we need to complete the square for both the x and y terms.

x² + 6x + y² - 4y = -9

Step 1: Move the constant term to the right side of the equation.

x² + 6x + y² - 4y + 9 = 0

Step 2: Group the x terms and the y terms separately.

(x² + 6x) + (y² - 4y) + 9 = 0

Step 3: Complete the square for the x terms. To do this, take half of the coefficient of x (which is 6), square it, and add and subtract it inside the parentheses.

(x² + 6x + 9 - 9) + (y² - 4y) + 9 = 0

(x + 3)² - 9 + (y² - 4y) + 9 = 0

(x + 3)² + (y² - 4y) = 0

Step 4: Complete the square for the y terms. To do this, take half of the coefficient of y (which is -4), square it, and add and subtract it inside the parentheses.

(x + 3)² + (y² - 4y + 4 - 4) = 0

(x + 3)² + (y - 2)² - 4 = 0

Step 5: Move the constant term to the right side of the equation.

(x + 3)² + (y - 2)² = 4

The equation is now in graphing form, which is:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

Comparing the equation to the graphing form, we see that the center of the circle is (-3, 2) and the radius is 2. Thus, the graph of the circle is centered at (-3, 2) with a radius of 2.

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Answer:

The answer for x is 11

Step-by-step explanation:

x²=144-1

Square root of both sides

√x²=√144-1

x=12-1

x=11

The probability of exactly three successes in five trials of a binomial experiment with a 90% probability of success is 0.0729 or about 7.29%.

To find the probability of exactly three successes in five trials of a binomial experiment with a 90% probability of success, we can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

Plugging in the values, we get:

P(X = 3) = (5 choose 3) * (0.9)^3 * (1 - 0.9)^(5 - 3)

= 10 * (0.9)^3 * (0.1)^2

= 0.0729

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Answer:

It is trapizium so the area can be calculated as

[tex] \frac{1}{2} (6ft + 8ft) \times 5ft \\ = {35ft}^{2} [/tex]

u can solve area of trapizium by

1/2(a+b)h

and when you solve it u get the answer 35ft^2

Answer: Time sampling

Step-by-step explanation:

It would be time sampling to see how long his tantrums are lasting and by keeping samples it should show you how long most tantrums will last.

I did this so i promise its right! give brainliest or rate and like please

a) To find out how much L is needed to produce 400 toys per hour when K is equal to 20, we can use the production function formula provided, which is Q = 4K + 5L.

To solve for L, we can rearrange the formula as follows: Q - 4K = 5L 400 - 4(20) = 5L 320 = 5L L = 64

Therefore, to produce 400 toys per hour with K = 20, the manufacturer would need 64 units of labor input per hour.

b) Similarly, to find out how much K is needed to produce 500 toys per hour when L is equal to 40, we can use the production function formula: Q = 4K + 5L

Substituting the given values, we get: 500 = 4K + 5(40) 500 = 4K + 200 4K = 300 K = 75

Therefore, to produce 500 toys per hour with L = 40, the manufacturer would need 75 units of capital input per hour.

In conclusion, the production function formula provides a useful tool for toy manufacturers to produce a desired level of output. By manipulating the formula, the manufacturer can also calculate the maximum output possible given a certain combination of inputs.

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Answer:

The median is 11.

Step-by-step explanation:

To find the median, you need to put all of the numbers in order.

In this case it would go:

2, 5, 8, 10, 10, 12, 14, 17, 20, 22

Now you find the middle number. Since there is an even amount of numbers, the median will fall between two different numbers. These numbers are 10 and 12. The median will be the number in between these two, which is 11. Therefore, the median is 11.

IM SO SORRY IF THIS DID NOT MAKE SENSE!

To find D(15), we simply substitute t = 15 into the function:

D(15) = 2,280 - 60(15)

D(15) = 2,280 - 900

D(15) = 1,380

Therefore, when the Chang family has been driving for 15 hours, they are 1,380 miles away from home.

Interpreting this result in the context of the problem, we can say that the family has made good progress on their trip and has covered a distance of 1,380 miles from home.

The correct function that defines the area of the rectangle is:

A(z) = 2[tex]x^{2}[/tex]+ 9x + 4 (option A).

The area of a rectangle is given by the product of its length and width. So, the function that defines the area of the rectangle would be:

A(x) = l(x) * w(x)

where l(x) is the length of the rectangle given by the function 1(x) = 2x + 1, and w(x) is the width of the rectangle given by the function w(x) = x + 4.

Substituting the given functions for length and width, we get:

A(x) = (2x + 1) * (x + 4)

Now, we can expand and simplify the expression:

A(x) = [tex]2x^2 + 8x + x + 4[/tex]

A(x) = [tex]2x^2 + 9x + 4[/tex]

So, the correct function that defines the area of the rectangle is:

A(z) =[tex]2x^2 + 9x + 4 ([/tex]option A).

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Step-by-step explanation:

for the perimeter you have to say two brackets live plus height plus with plastic

Answer:

Aquí respondemos a la pregunta: "¿Qué dos números se multiplican por 4 y suman 5?"

La respuesta a tu pregunta es:

1 y 4

A continuación ilustramos y demostramos que 1 y 4 se multiplican por 4 y suman 5:

1 × 4 = 4

1 + 4 = 5

¿Estás preguntando porque estás tratando de averiguar cómo factorizar la siguiente ecuación cuadrática?

x2 + 5x + 4 = 0

Si es así, la solución para factorizar la ecuación cuadrática anterior es:

(x+1) (x+4)

Para resumir, dado que 1 y 4 se multiplican por 4 y suman 5, sabes que lo siguiente es cierto:

x2 + 5x + 4 = (x + 1 ) (x + 4)

Step-by-step explanation:

Answer:

The analysis is given below :

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Answer: y - 2 = 2(x - -3)

The slope is 2 is you find the intercept.

Step-by-step explanation:

:)

Answer:

if no initial high im guessing 4.8 weeks

Step-by-step explanation:

4.8 divied by .8 = 6

Answer:

7 week 3 days and 12 hour

Step-by-step explanation:

x is the required week and to calculat it

1st for 1 week= o.8 inch

x = 6 inch

2nd u solve it after u solve it u get 7.5 but week dosen't said by decimals so u will multiply 0.5 by days of the week which is 7 .

3rd u will get 3.5 as we said before for days we can't use decimals so yo will multiply 0.5 by hour which 24 then u will get 12 . so the answer is 7 week 3 days and 12 hour .

Answer:

66.25

technically 67 glasses

Step-by-step explanation:

The amount of space in a gift box for earrings would typically be measured in cubic inches (C).

how to solve the question?

Cubic inches is a unit of volume that is commonly used to measure the capacity of small, enclosed spaces like boxes, containers, and packaging. It is defined as the volume of a cube that measures one inch on each side.

For a gift box designed to hold earrings, the volume of the box would need to be sufficient to accommodate the size of the earrings and any additional padding or decorative elements. Since earrings are small, the gift box would likely have a small volume, measured in cubic inches.

Other units of measurement, like square meters or yards, are used to measure the area of two-dimensional surfaces like floors, walls, or yards. Square centimeters are also a unit of area measurement, but they are much smaller than square meters or yards, and may be used to measure the surface area of small objects.

Cubic feet is a larger unit of volume measurement that may be used for larger boxes or containers, like shipping crates or storage bins. However, for a gift box designed specifically for earrings, cubic inches is likely the most appropriate unit of measurement.

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Answer:

50/100 or 1/2 or 50%

Step-by-step explanation:

total =  30 + 20 + 50 = 100

the probability of choosing a marble that is not blue is equal to the total minus all marbles that are blue therefore 100-30-20=50 therefore the probability is 50/100 or 1/2 or 50%

Rounding to the nearest degree, we get x = 53 degrees.

We can use the inverse sine function (sin⁻¹) to find the value of x.

From the sine rule,

sin(x) = opposite/hypotenuse

[tex]sin(x) = 7/9\\x = sin^{-1}(7/9)[/tex]

Using a calculator, we find that x is approximately 53.13 degrees. Rounding to the nearest degree, we get x = 53 degrees.

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If in a rectangular-prism, the length is doubled, width is tripled and height is same, then the volume of new rectangular prism will be 6 times the original-prism.

The "Volume" of a 3-D object is defined as the amount of space that object occupies in three-dimensional space. It is a measure of the total capacity or size of the object

Volume of a rectangular prism is ⇒ Volume = Length × Width × Height,

If the length of the rectangular prism is doubled, the new length would be 2 times the original length.

If the width is tripled, the new width would be 3 times the original width, and

If the height remains the same, it would be the same as the original height.

Let the original length be = "L",  width be = "W", and height be = "H",

So, New Length = 2L , New Width = 3W, New Height = H (remains unchanged),

So, volume of new rectangular prism is :

⇒ New Volume = (New Length)×(New Width)×(New Height),

⇒ (2L) × (3W) × H

⇒ 6LWH

Therefore, volume of "new-rectangular prism' is 6 times volume of  original rectangular prism.

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Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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The minimum number of cuts John needs to make to cut a 5-inch piece of paper using scissors with blades that are 4 and 3/8 inches long is either one or two

To determine the minimum number of cuts John needs to make to cut a 5-inch piece of paper using scissors with blades that are 4 and 3/8 inches long:

Subtract the length of the blades from the desired length of the paper:

5 - 4 3/8 = 1/8 inch

Therefore, the minimum number of cuts John needs to make are 4 and 3/8 inches long is either one or two, depending on whether he chooses to fold the paper or not.

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--The complete Question is, John needs to cut a piece of paper using a pair of scissors. He measures the scissors to the nearest 1/8 inch and finds that the length of the blades is 4 and 3/8 inches. If John wants to cut a piece of paper that is exactly 5 inches long, what is the minimum number of cuts he needs to make? --

Answer:

In a triangle, the sum of the interior angles is 180 degrees. So, we can set up the following equation:

72° + (x+4)° + A = 180°

where A is the measure of the third angle in the triangle.

Simplifying the equation, we get:

(x+4)° + 72° + A = 180°

x + 76° + A = 180°

Subtracting 76° from both sides, we get:

x + A = 104°

Therefore, an equation that can be used to find the value of x is x + A = 104°, where A is the measure of the third angle in the triangle. Note that we do not have enough information to solve for x or A individually, but we can use this equation to relate the two angles in the triangle.

The standard deviation of the height distribution is approximately 6 inches (since 6 is half of 12), which corresponds to option (C).

The distribution of the heights of students in a large class is roughly Normal, with an average height of 68 inches, and approximately 95% of the heights are between 62 and 74 inches.

The height distribution is approximately Normal, we can use the empirical rule, which states that approximately 95% of the data falls within 2 standard deviations of the mean, to estimate the standard deviation.

The range of heights within which approximately 95% of the students fall is from 62 to 74 inches.

This range is 12 inches wide, and it corresponds to 2 standard deviations from the mean.

Thus, we have:

2 standard deviations = range of 95% of the data = 74 - 62 = 12 inches

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Answer:

Step-by-step explanation:

To find P * 1, we need to find all pairs of elements in P that have a difference of 1. Let's start by listing the elements of P:

P = {(1, 2), (2, 5), (3, 8), (4, 11)}

Now, we can find all pairs of elements in P that have a difference of 1:

(1, 2), (2, 5) -> (1, 5)

(2, 5), (3, 8) -> (1, 3)

(3, 8), (4, 11) -> (1, 3)

Therefore, P * 1 = {(1, 5), (1, 3), (1, 3)} = {(1, 5), (1, 3)} (since the last pair is a duplicate).

(b) The given relation is: y = 4x

The elements of this relation are all pairs (x, y) such that y = 4x. For example, (1, 4), (2, 8), (3, 12), etc.

(c) The given relation is: x + y ≥ 20

The elements of this relation are all pairs (x, y) such that x + y is greater than or equal to 20. For example, (1, 19), (2, 18), (3, 17), etc.

(d) The given relation is: y = x

The elements of this relation are all pairs (x, y) such that y = x. For example, (1, 1), (2, 2), (3, 3), etc.

The statement that correctly describes the scatter plot is

A scatter plot is a type of data visualization that displays the relationship between two numerical variables.

It is a graph that uses dots or points to represent the values of each variable, with one variable plotted on the x-axis and the other on the y-axis.

The position of each dot on the graph represents the values of the two variables for a single observation or data point.

Scatter plots are commonly used to identify patterns or relationships between variables, such as correlation or causation.

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The length of XZ in circle C is equal to the √34. This can be found using the Pythagorean theorem and the fact that XZ is a radius of the circle.

As WZ and XR are diameters, they intersect at the center of the circle, which we'll call point O.

Since WX is a chord of the circle, we can use the perpendicular bisector of WX, which passes through O, to find the length of XZ.

Let's call the midpoint of WX point M. Then OM is perpendicular to WX and bisects it.

So we have two right triangles, OXM and MXZ. We know that OM = 5 and XM = 3 (half of WX).

Using the Pythagorean theorem, we can find the length of OX:

OX² = OM² + MX²

OX² = 5² + 3²

OX² = 34

OX = √(34)

Since XZ is also a radius of the circle, we have XZ = OX = √(34).

Therefore, the measure of XZ in circle C is √(34).

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Answer:

B and then A

Step-by-step explanation:

volume is × so the . means times

so it's the only option

and then the second area is

6×3×4= 72cm³