An organization has a goal to raised $50,000 for a scholarship fundraising project. They have raised 60% of their goal. How much money has the organization raised

The width of the chest shaped like a rectangular prism, to the nearest tenth of an inch is 32.1.

Kenji has made a treasure chest, shaped like a rectangular prism that must hold around 10,368 cubic inches of sand. In the second act of the school play, an actor will stand on the chest.

Therefore, the chest must be 24 inches tall. The length of the chest is twice its width.

To determine the width of the chest, you should first determine the length of the chest.

Then, using the formula for the volume of a rectangular prism, you can solve for the width of the chest.

Length of the chest

The formula for the volume of a rectangular prism is V = lwh

Given that the chest needs to hold around 10,368 cubic inches of sand, we can write 10,368 = lwh

Since the chest is twice as long as it is wide, the length (l) of the chest is equal to 2w.

Substituting 2w for l, we have:

10,368 = (2w)w

hence 5,184 = wh²(5,184/h)

= w*h(5,184/h²) = w

Since the chest must also be 24 inches tall, we can write:

h = 24 feet

Substituting this value into the equation, we have:

(5,184/24²) = w

hence w = 32.1 inches

Therefore, the width of the chest to the nearest tenth of an inch is 32.1 inches.

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Answer:

(a)parallel

Step-by-step explanation:

they have the same slope so they're parallel

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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The average rate of change of V with respect to r over the interval [85,110] is 0.76 meters cubed per year per centimetre of rainfall.

V(r) = 0.2r² − 20r + 600

The average rate of change of V with respect to r over the interval [85,110] can be calculated by finding the derivative of V(r) and evaluating it at the midpoint of the interval, then dividing the result by the length of the interval. The derivative of V(r) is:

dV/dr = 0.4r - 20

The midpoint of the interval [85,110] is (85 + 110)/2 = 97.5. Evaluating the derivative at the midpoint, we get the following:

dV/dr = 0.4 × 97.5 - 20 = 19.0

The length of the interval is 110 - 85 = 25, so the average rate of change is:

The average rate of change = (dV/dr)/(110 - 85) = 19.0/25 = 0.76

So, the average rate of change of V with respect to r over the interval [85,110] is 0.76 meters cubed per year per centimetre of rainfall.

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--The given question is incomplete; the complete question is

"Eucalyptus trees, common in California and the Pacific Northwest, grow better with more water. Scientists in North Africa, analyzing where to plant trees, found that the volume of wood that grows on a square kilometre, in meters cubed, is approximated by V(r)=0.2r²−20r+600 where r is rainfall in centimetres per year, and 60≤ r ≤120. Calculate the average rate of change of V with respect to r over the interval [85,110]."--

A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. Therefore, option B is the correct answer.

A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. This is because the electron microscope requires a vacuum environment to function properly, which would kill any live specimen. Additionally, electron microscopes can only see surface details and do not have a very high power of resolution. Lastly, electron microscopes can only be used by doctors or trained technicians, so they are not as widely available as light microscopes.

Therefore, option B is the correct answer.

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A disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens (option b). Electron microscopes use a beam of electrons to create an image, which requires a vacuum environment. This means that living organisms cannot survive in the vacuum and therefore cannot be observed with electron microscopes.

I hope this helped! :)

The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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The given curve is a smooth curve which is increasing and concave up.

The point (1, 0) and a parametrization $r(t) = \left\langle t^2 - 1, t^3 - t\right\rangle$. Let's find the arc length measured from the point (1, 0) in the direction of increasing t with respect to the arc length.Therefore, the unit tangent vector is given as:$\begin{align}\vec T(t) &= \frac{\vec v(t)}{\lVert \vec v(t) \rVert}\\ &= \frac{\left\langle 2t, 3t^2 - 1\right\rangle}{\sqrt{(2t)^2 + (3t^2 - 1)^2}}\\ &= \frac{\left\langle 2t, 3t^2 - 1\right\rangle}{\sqrt{13t^2 - 6t + 1}}\end{align}$Therefore, the distance measured from the point (1, 0) can be calculated as:$\begin{align}\int_{1}^{t} \left\lVert \vec T(u) \right\rVert \,du &= \int_{1}^{t} \frac{1}{\sqrt{13u^2 - 6u + 1}} \,du\\ &= \frac{1}{\sqrt{13}} \ln \left(\sqrt{13}t^2 - 3t + 1 + 2\sqrt{13}t - 2\sqrt{13}\right) - \frac{1}{\sqrt{13}} \ln(2\sqrt{13} - 2\sqrt{13})\\ &= \frac{1}{\sqrt{13}} \ln \left(\sqrt{13}t^2 - 3t + 1 + 2\sqrt{13}t - 2\sqrt{13}\right) + C\end{align}$So, the simplest form of reparametrization can be given as:$\begin{align}s(t) &= \frac{1}{\sqrt{13}} \ln \left(\sqrt{13}t^2 - 3t + 1 + 2\sqrt{13}t - 2\sqrt{13}\right)\\ &= \frac{1}{\sqrt{13}} \ln \left(\sqrt{13}t^2 + 2\sqrt{13}t - \sqrt{13}\right)\end{align}$Therefore, we can conclude that the given curve is a smooth curve which is increasing and concave up.

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The requried, given system of equations y=x+3 and 3x-3y=9 has no common solution.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

From the first equation, we can solve for y:

y = x + 3

Substitute y = x + 3 into the second equation:

3x - 3(x + 3) = 9

Simplify the right side:

3x - 3x - 9 = 9

-9 = 9 (inconsistent)

Since the equation -9 = 9 is inconsistent, the system of equations has no solution, which means that there are no values of x and y that make both equations true at the same time. It implies the system of equations has no solution.

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The following operations are used to transform the quadratic equation y = x² into parabolas in standard form:

Case 1

Horizontal translation, vertical translation. Horizontal stretch.

Case 2

Horizontal translation, vertical translation. Reflection in the x-axis, vertical stretch.

Case 3

Horizontal translation, vertical translation. Horizontal stretch.

In this question we find three cases of parabolas in standard form, that is, quadratic equations of the form:

y - k = a · (x - h)²

Where:

This parabola is translated both horizontally and vertically by using the following definitions:

Horizontal translation

x → x - a, where a > 0 for rightward translation.

Vertical translation

y → y - b, where b > 0 for upward translation.

Horizontal dilation

f(x) → f(k · x), where k is a non-negative real number.

Vertical dilation

f(x) → k · f(x), where k is a non-negative real number.

Reflection in the x-axis

f(x) → - f(x)

The procedure is summarize below:

Finally, we summarize the procedure for each case:

Case 1

g(x) = x²

g(x) = [(1 / 2) · x²]

g(x) + 4 = [(1 / 2) · (x - 2)]²

Horizontal shift: 2 units right, vertical shift: 4 units down. Horizontal stretch.

Case 2

f(x) = x²

f(x) = - (1 / 2) · x²

f(x) - 2 = - (1 / 2) · (x - 4)²

Horizontal shift: 4 units right, vertical shift: 2 units down. Reflection in the x-axis, vertical stretch.

Case 3

h(x) = x²

h(x) = 2 · x²

h(x) - 5 = [2 · (x + 2)]²

Horizontal shift: 2 units left, vertical shift: 5 units up. Horizontal stretch.

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Answer:

Slope= -2

y-intercept= 5

Step-by-step explanation:

Answer:

34.98 yds²

Step-by-step explanation:

To find surface area, we add together the area of each side. We have six sides, but there are three sets of identical sides, so it's easier to calculate.

We begin with the sides with dimensions 2.40 and 2.50. Multiply these together.

2.40 · 2.50 = 6

Since there are two of these sides, we can already say that the combined area of them is 12. So, we start the equation with 12.

Next, the two sides with dimensions 2.34 and 2.50. Multiply these together as well, to get 5.85. Multiply this by two to find the area of both sides, 11.7.

Add to our equation, for 12 + 11.7.

For the final two sides, we have the dimensions 2.34 and 2.40. Multiply to get 5.64. Multiply this again by two to find the area of both sides. We get 11.28. Add this to the equation as well, for 12 + 11.7 + 11.28= 34.98.

The answer is 34.98 yds². Good luck :)

Answer:

12 pound turkey

one person eats 1 lb

12 people will eat 12 lbs

Step-by-step explanation:

The equation of the parabola is x^2 = 8(y + 3)

From the question, we have the following parameters that can be used in our computation:

Focus = (4, -3)

Directrix, y = 1

Since the directrix is a horizontal line, the parabola opens downward or upward.

The focus is located 4 units to the right of the vertex

So, we have

Vertex = (0, -3).

The equation is of the form:

(x - h)^2 = 4p(y - k),

where (h, k) is the vertex, and p is the distance from the vertex to the focus (and to the directrix).

In this case, h = 0, k = -3, and p = 2.

Substituting these values, we get:

(x - 0)^2 = 8(y + 3)

x^2 = 8(y + 3)

So the equation is x^2 = 8(y + 3)

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R(t)=6.6 for t, 5 minutes, the domain of R relative to this context [0, 65 ÷ 6], the range of R related to this context, the domain of R relative to this context, [0, 12], and the range of R relative to this context.

The values of variables, domain, and range:

a) 12 - 1.2t, Using the build equation.

b) Least length = 0 mm.

max time = 12 - 1.2t = 0

t = 65 ÷ 6 minutes.

domain t ∈ [0, 65 ÷ 6]

c) range, R ∈ [0, 12]

d) domain of \(R^{-1}\) [0, 12]

e) domain of \(R^{-1}\) [0, 65 ÷ 6]

f) 12 - 1.2t = 7

1.2t = 7

t = 5

R(t)=6.6 for t, 5 minutes.

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Rewrite then factor as a difference of cubes:

1 - 64x³ = 1³ - (4x)³

= (1 - 4x) (1² + 4x + (4x)²)

= (1 - 4x) (1 + 4x + 16x²)

Answer:

Brian spent 62.5294 $.

Step-by-step explanation:

The cost of two shirts = \(2\times \:14.5=29\) $

The cost of 1 pair of shoes = \(1\times 29.99\:\) = \(29.99\) $

Tax calculation:

Now, adding calculated costs and tax calculation:

58.99$ + 3.5394$ = 62.5294 $

Therefore, Brian spent 62.5294 $.

Answer:

50 inches

Step-by-step explanation:

48^2 + 14^2 = h^2

Answer is 50 inches if you solve...

Answer:

(7, 4)

Step-by-step explanation:

\(\text{Let the coordinates of B } = x_{B} , y_{B} \\\text{Let the coordinates of A} = x_{A} , y_{A} \\\text{Let the coordinates of midpoint M} = x_{M} , y_{M}\)

By the midpoint formula,
\((x_{M},y_{M}) = (\frac{x_{A} + x_{B}}{2} , \frac{y_{A} + y_{B}}{2} )\)

\(x_{M} = \frac{x_{A} + x_{B}}{2} \\y_{M} = \frac{y_{A} + y_{B}}{2} \\\)

We have coordinates of midpoint as (5, 6) and coordinates of A as (3,8)
So
\(5 = \frac{3 + x_{B}}{2} \\\\\\textrm{Cross-multiplying } 10 = 3 + x_{B}} \textrm{ or } x_{B} = 10-3 = 7\\\)

\(6 = \frac{8 + y_{B}}{2} \\\\\\\\textrm{Cross-multiplying } 12 = 8 + y_{B}} \textrm{ or } y_{B} = 12-8 = 4\\\)

So coordinates of B are (7,4)

Answer: t = 7.85seconds

Step-by-step explanation:

Given that :

Height of tower = 986 Feets

Function s(t) = 16t^2

To find the time t 8 in Seconds taken for an object to fall to the ground from the top of the​ building

16t^2 = 986

t^2 = 986/16

t ^2 = 61.625

Take the square root of both sides

t = sqrt(61.625)

t = 7.85seconds

Answer:

7.85sec

Step-by-step explanation:

Given that,

s(t)=16t squared​, where t is time in seconds. The height of a certain tower is 986 feet.

s(t) = 16t²

so when s = 986feet

16t² = 986 feet

t² = 986 /  16

t² = 61.625

t = √61.625

t= 7.85 seconds

Answer:

He would be 41

Step-by-step explanation:

Maths go brrrr

Answer:

41

Step-by-step explanation:

To find the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2, we can use the following formulas:

New x-coordinate = -2 * old x-coordinate

New y-coordinate = -2 * old y-coordinate

Let's apply these formulas to each point in triangle ABC:

Point A: (-3, 4)

New x-coordinate of A = -2 * (-3) = 6

New y-coordinate of A = -2 * 4 = -8

New coordinates of A: (6, -8)

Point B: (1, 1)

New x-coordinate of B = -2 * 1 = -2

New y-coordinate of B = -2 * 1 = -2

New coordinates of B: (-2, -2)

Point C: (5, -2)

New x-coordinate of C = -2 * 5 = -10

New y-coordinate of C = -2 * (-2) = 4

New coordinates of C: (-10, 4)

Therefore, the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2 are:

A: (6, -8)

B: (-2, -2)

C: (-10, 4)

Answer:

A. n represents the number of members, so it must be a whole number.

Step-by-step explanation:

Since 12.125 is a decimal, it would not make sense to substitute 12.125 for n in the expression. You cannot have 1/8 of a person. Since each member is contributing an additional $5, the expression will show n as the variable representing the number of members in the Math Club. Each member is giving 5, so 5n + 10, the 10 being the coupon they have for $10 off. This expression shows how much money the entire group has.

Answer:

A

Step-by-step explanation:

Answer:

2w^2+10w

Step-by-step explanation:

Let's start with the rectangle.

The length of the rectangle is:

L = 5 + w

The width of the rectangle is:

W

So, the equation of the area for the rectangle would be:

(w)(5+w) due to the area of a rectangle being length x width

Now, onto the triangle.

The length of the shorter side is equal to the width of the rectangle:

L(1) = w

The length of the longer side of the triangle is twice the length of the rectangle, so going back to what we have the rectangles length being:

L(2) = (2)(5+w) or 10 + 2w

Now to find the area of the triangle, use the equation 1/2(b)(height)

So plug it in:

1/2(w)(10 + 2w)

Which equals 1/2(10w + 2w^2)

Now, we times it by 1/2, so we will put it into a fraction:

1 x (10w + 2w^2)/2

10w + 2w^2/2

Now factor it:

2w(5 + w)/2

2 cancels out 2, so we are left with

w(w+5) = w^2 + 5w

So, the equation says what is the combined area of the rectangle and triangle

Rectangle area: w(w+5) = w^2 + 5w

Triangle area: w^2 + 5w

So, the combined area is 2w^2 + 10w

hope that helps!! I understand this question is hard, so I tried to explain as best as I can :)

for me, this is an EOC question, so to all those taking the test good luck! study hard!!

Therefore, the probability that Sergio's number is larger than the sum of the two numbers chosen by Tina is 11/15, or about 0.733.

We can approach this problem by finding the probability of Sergio's number being less than or equal to the sum of Tina's numbers, and then subtracting this probability from 1.

The total number of ways for Tina to select two distinct numbers from the set is 6 choose 2, which is 15. Each pair of numbers has an equal chance of being selected, so we can assume that each pair has probability 1/15 of being selected.

Now, for each pair of numbers Tina selects, there is a range of numbers that Sergio can select such that his number is greater than the sum of Tina's numbers. Specifically, Sergio's number must be greater than the smaller of Tina's numbers and less than or equal to the largest number in the set.The length of this shaded region is 6 - 2 = 4. Therefore, the probability of Sergio's number being greater than the sum of Tina's numbers for a given pair of numbers is 4/6 = 2/3.

The probability of Tina selecting any particular pair of numbers is 1/15, so the probability of Sergio's number being greater than the sum of Tina's numbers for that pair is (2/3)(1/15) = 2/45.

To find the total probability, we sum up the probabilities for all pairs of numbers:

(2/45) + (2/45) + (2/45) + (2/45) + (2/45) + (2/45) = 12/45 = 4/15

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Answer: -x -3y

Step-by-step explanation:

Answer:

−x − 3 y

Step-by-step explanation:

Subtract   2 y  from  − y

The probability of drawing at least one ace when you draw from a standard deck 25 times is 0.8648

Number of Aces in deck = 4

The probability that they pick no ace in one trail

= (52 - 4) / 52

= 48 / 52

= 12 / 13

The probability that the picks no ace in 25 trials are

= (12/35)²⁵

The probability of drawing at least one ace when we draw from a standard deck 25 times

= 1 -  (12/35)²⁵ = 0.8648

Indeed, it is conceivable you could wind up drawing a king rather than a queen from those 52 cards as you might attract a queen on the first go.

Hence the probability of drawing at least one ace when you draw from a standard deck 25 times is 0.8648.

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