a museum director wants to hang a painting on the wall that is 90 feet. To the nearest foot, how tall does the wall need to be?

To solve for the diameter and radius of a cone with a volume of 8 and a height of 6, we need to use the formulas for the volume and surface area of a cone.

The volume of a cone is given by the formula:

V = 1/3 * π * r^2 * h

where V is the volume, r is the radius, h is the height, and π is the mathematical constant pi (approximately 3.14).

We know that the volume is 8 and the height is 6, so we can plug these values into the formula and solve for the radius:

8 = 1/3 * π * r^2 * 6

r^2 = 8/(π*6/3)

r^2 = 4/π

r = √(4/π)

r ≈ 0.798

The radius is approximately 0.798.

To find the diameter, we simply multiply the radius by 2:

d = 2 * r

d ≈ 1.596

Therefore, the diameter is approximately 1.596 and the radius is approximately 0.798.

Answer:

122-8x

Step-by-step explanation:

Journal articles and research reports are widely recognized as the most common types of secondary sources used in education. In the field of education, secondary sources play a crucial role in providing researchers and educators with valuable information and scholarly insights.

Among the various types of secondary sources, journal articles and research reports hold a prominent position. These sources are often peer-reviewed and published in reputable academic journals or research institutions. They provide detailed accounts of research studies, experiments, analyses, and findings conducted by experts in the field. Journal articles and research reports serve as reliable references for educators and researchers, offering up-to-date information and contributing to the advancement of knowledge in the education domain. Their prevalence and credibility make them highly valued and frequently consulted secondary sources in educational settings.

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1) library(lahmanrbroom)

model <- lm(runs ~ bb + hr, data = teams %>% filter(yearID == 1971))

tidy(model)

2) model2 <- lm(bb ~ year, data = tidy(model))

3) The p-value for this effect is significantly different from zero.

1) To obtain the effects of bb (walks) and hr (homers) on runs in 1971 using the teams data frame from the lahmanrbroom package and the tidy() function, the following code can be used:

library(lahmanrbroom)

model <- lm(runs ~ bb + hr, data = teams %>% filter(yearID == 1971))

tidy(model)

The estimate for the effect of bb on runs can be found in the 'Estimate' column for the variable 'bb', and the estimate for the effect of hr on runs can be found in the 'Estimate' column for the variable 'hr'.

2) To determine the effect of year on the impact of bb, a linear model can be fit on the results from the previous question. The following code can be used:

model2 <- lm(bb ~ year, data = tidy(model))

The coefficient for the variable 'year' in this model represents the change in the impact of bb on runs for each additional year.

3) The p-value for this effect can be found in the 'p.value' column of the output of the summary() function applied on the model2, which tests if the coefficient for the variable 'year' is significantly different from zero.

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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The value for QCRIT using the HSD test for groups with subjects in each group will be 5.24.

We have,

HSD test for 6 groups,

And,

Subjects for HSD test = 6,

And,

α = 0.01

And,

The HSD test means Honestly Significant Difference test that determines whether the relationship between two data sets is statistically significant, i.e., used to check differences among sample way for significance.

So,

Here,

K = 6 ,

And,

Degree of freedom = 6 × 6 - 6 = 30,

And,

From the HSD table,

Q-critical i.e. QCRIT= 5.24 at level = 0.01

So,

QCRIT is 5.24.

Hence we can say that the value for QCRIT using the HSD test for groups with subjects in each group will be 5.24.

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The solution to the exponential equation is x = ln(7) - ln(30).

To solve the exponential equation, we start by isolating the exponential term.

The given equation is: 30/(1 + e^(-x)) = 7.

First, we multiply both sides of the equation by (1 + e^(-x)) to eliminate the denominator:

30 = 7(1 + e^(-x)).

Next, we distribute 7 on the right side of the equation:

30 = 7 + 7e^(-x).

Subtracting 7 from both sides:

23 = 7e^(-x).

To isolate the exponential term, we divide both sides of the equation by 7:

23/7 = e^(-x).

Taking the natural logarithm (ln) of both sides:

ln(23/7) = -x.

Finally, we multiply both sides by -1 to solve for x:

x = -ln(23/7).

Using logarithmic properties, we can simplify -ln(23/7) to ln(7) - ln(23), giving the solution x = ln(7) - ln(30).

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Step-by-step explanation:

w(w+5) + w(w+7)

w²+5w+w²+7w

2w²+12w

or

2w(w+12)

Step-by-step explanation:

w^2+5w + w^2+7w

2w^2+12w

Answer:

14 gallons

Step-by-step explanation:

357/25.5 = 14

14 gallons

hopefully this helps you :)

pls mark brainlest ;)

Thank you :)

Answer:

14 gallons

Step-by-step explanation:

took the test

Answer: 3 and 1

Step-by-step explanation: 3 is a prime number, which means its only factors are the number itself and 1. The number 3 is not divisible by anything else. You can only multiply 3 and 1.

Answer:

(1,-2)

Step-by-step explanation:

You minus 2 from the x, and add 2 units to the y

Answer: C

Step-by-step explanation:

Slope is the number right in front of x, which in this case would be -2. So C is the answer.

Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.

x|y

0|5

1|3

2|1

3|-1

4|-3

An inverse variation function is not the best model for a dataset when the products of the corresponding x- and y-values are not constant. In such cases, as x increases, y also increases, making the product of the coordinate pairs unequal.

An inverse variation function describes a relationship between two variables, where the product of the variables remains constant. In other words, if y is inversely proportional to x, then y=k/x, where k is the constant of proportionality.

However, when the products of the corresponding x- and y-values are not constant, an inverse variation function is not an appropriate model for the dataset. This is because, in such cases, as x increases, y also increases, which means the product of the coordinate pairs will be unequal.

Therefore, the relationship between the variables is not inverse but direct. In such cases, a different type of function such as a linear or exponential function may be a better model for the dataset.

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Answer:

CORRECT ANSWER IS { A }

HOPE IT HELPS U!!!

The points on the number line are -6 and 2.

2 - -6 = 4

2 + 6 = 4

A is not the answer.

--6 - 2 = 8

+6 - 2 = 4

B may be the answer.

-6 - 2 = -8

C is not the answer.

-2 - -6 = 4

-2 + 6 = 4

D is not the answer.

Let me know if this is the correct answer. :)

Answer:

Answer: F. 1,275% and 12.75.

Step-by-step explanation:

Ratios

Ratios are usually expressed as decimals, fractions, colon notation, and percentages.

For example, if the ratio of two quantities is 2, it can be expressed as:

2, 2/1, 2:1, 200%

To obtain the percentage expression, just multiply by 100%.

The price of the popcorn sold at a movie theatre was marked up as 12 3/4 times the original cost.

The mixed fraction can be converted to a decimal by just adding their parts as follows:

12 + 3/4 = 12.75

Now to express it as a percentage, multiply by 100%:

12.75 * 100% = 1,275%

Answer: F. 1,275% and 12.75.

For every inch in the scale drawing, it represents 60 inches in the actual gym.

To determine the scale Jorge used to create the scale drawing of the school gym, we can calculate the ratio of the length in the scale drawing to the length of the actual gym.

In the scale drawing, the length of the gym is 17 inches, while the length of the actual gym is 85 feet.

Since there are 12 inches in a foot, we can convert the length of the actual gym from feet to inches:

85 feet * 12 inches/foot = 1020 inches

Now, we can calculate the scale by dividing the length in the scale drawing by the length of the actual gym:

17 inches / 1020 inches = 1/60

Therefore, the scale that Jorge used to create the scale drawing of the school gym is 1:60.

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Answer:

70

Step-by-step explanation:

Answer:

-70 F

Step-by-step explanation:

-38 - 32 = 70

Answer:

ABCD is 6 units 2×3=6

im not really sure about RST but i think it would be 4 or 5 units because it just looks like there is about that many inside.

We can see here that the area of quadrilateral ABCD = 12 units².

While the area for triangle RST = 5 units².

A quadrilateral is a polygon with four sides, four vertices, and four angles. The word "quadrilateral" is derived from the Latin words "quadri" (meaning "four") and "latus" (meaning "side"). Quadrilaterals are classified based on the lengths of their sides, the measures of their angles, and other specific properties.

Area of the parallelogram ABCD = B × H = 3 units × 4 units = 12 units².

Area of the triangle RST = 1/2bh = 1/2 × 5 units × 2 units = 1/2 × 10 units = 10/2 units = 5 units².

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It's always true that a reflection on the x-axis followed by a reflection on the y-axis leaves a point in its original location.

What is a coordinate axis?

A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.

When a reflection in the x-axis followed by a reflection in the y-axis leaves a point in its original location. Is it always true?

The answer is true.

Reason: For example, piece of graph paper into 4 pieces, draw this same thing on all four:  

In this condition reflection in the x-axis followed by a reflection in the y-axis leaves a point in its original location of different color is yes.

Hence, it's always true that a reflection on the x-axis followed by a reflection on the y-axis leaves a point in its original location.

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Answer:

Option C i.e. 2 and 9, constants have a fixed value is a correct option.

Step-by-step explanation:

In algebra, a constant is basically a fixed value.

Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.

For example: in ''2x+7=3'', 7 and 3 are constants.

In our case:

Given the equation

\(3x+2=9\)

Therefore, 2 and 9 are constants, having a fixed value.

Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.

Answer:

4

Step-by-step explanation:

20/5=rate

4=rate

Answer: 4 exercises

Step-by-step explanation:

If we completed 87.5% of the math exercises before dinner, then we have completed 0.875 × total number of exercises.

Let "\(x\)" be the total number of exercises.

\(0.875x = 28\)

Solving for \(x\), we get:

\(\boxed{\begin{minipage}{4 cm}\text{\LARGE 0.875x = 28 } \\\\\\ \large $\Rightarrow$ $\frac{0.875x}{0.875}$ = $\frac{28}{0.875}$\\\\$\Rightarrow$x = 32\end{minipage}}\)

Therefore, the total number of exercises is 32.

We completed 28 exercises before dinner, so we have:  32 - 28 = 4 exercises left to do after dinner.

________________________________________________________

Answer:

the computer will cost 864.5

Step-by-step explanation:

15% of 950 is 142.5.

950-142.5=807.5

6% of 950 is 57

Answer:

$855.95

Step-by-step explanation:

So We can first multiply the original price by 0.85 becuase its 15 percent off and we’re paying 85 percent of the original price basically.

You’ll get 807.50.

Now to find the sales tax we multiply that by 1.06 becuase the 100 percent is the price now and we’re just adding 6 percent so 1.06, and you’ll get 855.95

So no adding and subtracting and that takes off 2 steps and its way quicker

So the final answer is $855.95

Answer:

Step-by-step explanation:

You'll need to find a way to share the graph or graphs associated with this problem.

The period is 4.  The relationship between period and b (the coefficient of the independent variable of the cosine function) is (period) =(2π.b).  Given that the period here is 4,

       2π                          2π

4 = ---------, and so b = ------- = π/2.

                                       4

So now our y  = a*cos (bx + c) becomes

                    π

y = 10*cos (------x + 0 + 10

                     2

The horizontal center line of this cosine curve is y = 10.  The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.

The function that describes the given situation is \(\rm y = 10\;cos\left(\dfrac{\pi}{2}x\right) + 10\) and this can be determined by using the properties of the trigonometric function.

Given :

The following steps can be used in order to determine the function could be the function described:

Step 1 - According to the given data, the cosine function has a period of 4.

Step 2 - Now, the independent variable of the cosine function is given by:

\(\rm 4b = 2\pi\)

\(\rm b =\dfrac{\pi}{2}\)

Step 3 - The maximum value of the cosine function is 1 and the minimum value of the cosine function is -1.

Step 4 - From the above steps, the function that described the given situation is given by:

\(\rm y = 10\;cos\left(\dfrac{\pi}{2}x\right) + 10\)

Therefore, the correct option is C).

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Answer:

Step-by-step explanation:

a=2

n=0.5

2a=0

2.2=0

4=0

2a=0

The missing sides of the special right triangles are listed below:

Case 1: y = √2 · 13, x = 13

Case 2: x = y = 15√2

Case 3: x = 6, y = 3√3

Case 4: x = 17√3, y = 17

Case 5: x = y = 10

Case 6: x = 50, y = 25

Case 7: x = y = 4√7

Case 8: x = 16√3, y = 8√3

Case 9: x = 11√3, y = 33

Case 10: x = 3√2, y = 2√6

Case 11: x = √10, y = 2√5

Case 12: x = 4√7, y = 8√21

Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:

45 - 90 - 45 Right triangle

r = √2 · x = √2 · y

30 - 60 - 90 Right triangle

x = (1 / 2) · r

y = (√3 / 2) · r = √3 · x

Where:

Case 1

y = √2 · 13

x = 13

Case 2

x = y = 15√2

Case 3

x = 3 / (1 / 2)

x = 6

y = 3√3

Case 4

x = 34 · (√3 / 2)

x = 17√3

y = 34 · (1 / 2)

y = 17

Case 5

x = y = 10

Case 6

x = 25√3 / (√3 / 2)

x = 50

y = 25√3 / √3

y = 25

Case 7

x = y = 2√14 · √2 = 2√28 = 4√7

Case 8

x = 24 / (√3 / 2)

x = 48 / √3

x = 16√3

y = 24 / √3

y = 8√3

Case 9

x = 22√3 · (1 / 2)

x = 11√3

y = 22√3 · (√3 / 2)

y = 33

Case 10

x = √18

x = 3√2

y = √6 / (1 / 2)

y = 2√6

Case 11

x = √10

y = √20

y = 2√5

Case 12

x = 4√21 / √3

x = 4√7

y = 4√21 / (1 / 2)

y = 8√21

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3(x-2)=x+7

or, 3x-6=x+7

or, 3x-x=7+6

or, 2x=13

or, x=13/2

or, x= 6.5

Therefore, x=6.5

Hope it helps! :)

For an Arithmetic sequence of numbers with sum of three consecutive terms is equals to the 6 and sum of their cubes is 132 are equal to either -1, 2, 5 or 5,2, -1.

An arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding is equals to a constant number say d. It is also known as an arithmetic progression. We have sum of three consecutive terms in an arithmetic sequence is equals to 6 and the sum of their cubes is 132. Let the three consecutive terms in an arithmetic sequence be \(a_1, a_2, a_3\). So, \(a_1 + a_2 + a_3 = 6 \) -----(1) and a₁³ + a₂³ + a₃³ = 132 ------(2)

We have to determine the three numbers. Now, \(a_1 = a \), \(a_2 = a + d\), \(a_3 = a + 2d \).

Substitute all values in equation(1), a + a + d + a + 2d = 6

=> 3a + 3d = 6

=> a + d = 2

=> a = 2 - d ----(3)

From (3), (2 - d)³ + ( 2 -d +d)³ + (2 - d + 2d)³ = 132

=> (2 - d)³ + 2³ + ( 2 + d)³ = 132

=> 2³ - d³ - 3× 2²d + 6d² + 2³ + 2³ + d³ + 3× 2²d + 6d² = 132

=> 3× 2³ + 2×6d² = 132

=> 12d² + 24 = 132

=> 12d² = 108

=> d² = 9

=> d = ± 3

so, either a = 2 - 3 = -1 , ( d = 3) or a = 2 + 3 = 5 (d = -3)

Hence, required value either -1, 2, 5 or 5,2, -1.

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Answer:

assuming that the problem was actually

-1/12 x ^ 2 + 2x + 4

height = 16

(12,16)

forty feet (40) feet

vertex = -b/2a = -2/(-1/6) = 12

f(12) = - 144/ 12 + 24 + 4 = -12+ 24 + 4   = 16

Step-by-step explanation: