How many square feet of wood are needed to make a box that is 4 feet long, 2 feet
high, and 21 feet wide?

Answer:

It is R-U-L-U-R

Step-by-step explanation:

Because if you follow the coordinates you will get this

Answer:

Area of the parallelogram is approximately 4,456.2 square feet

Step-by-step explanation:

The lengths of the sides of the parallelogram are 65 feet and 87 feet

The measure of the angle between the sides, Y = 52°

The formula for finding the area of a parallelogram is given as follows;

Area of a parallelogram = A·B·sin(Y)

Where;

'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them

Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;

Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²

The correct statement is:

The t-statistic or t-ratio is used to test the statistical significance of each β_i in a regression model.

The t-statistic is calculated by dividing the difference between the sample mean and the hypothesized population mean by the standard error of the sample mean.

The formula for the t-statistic is as follows:

t = (sample mean - hypothesized population mean) / (standard error of the sample mean)

The t-statistic or t-ratio is used to test the statistical significance of each β_i (regression coefficient) in a regression model. It measures the ratio of the estimated coefficient to its standard error and is used to determine if the coefficient is significantly different from zero.

Learn more about  t-statistic or t-ratio:

https://brainly.com/question/30466889

#SPJ11

Answer:

l = 2w – 3

Step-by-step explanation:

Answer:

l = 2w – 3

Step-by-step explanation:

Hope this helps!!!

Answer:

-256

Step-by-step explanation:

Answer:

-16    

Step-by-step explanation:

You have to multiply the two fours which equals 16 and then because there is a negative sign, your answer would be -16

Hello!

(1/3)^2x = (1/3)^x+14 <=>

<=> 2x = x + 14 <=>

<=> 2x - x = 14 <=>

<=> x = 14

Good luck! :)

Answer:

The answer is 12

Step-by-step explanation:

1-8(6)

The multiples of 3 would be 3 and 6.

3 and 6 are found 12 times within those 6 spins

Option 12 is the correct answer.

The permutation refers to the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

For the given situation,

The spinner has 8 identical sectors {1,2,3,4,5,6,7,8}.

The multiples of three from the given sectors are 3 and 6.

Multiples of 3 in the sector = 2

The spinner is expected to have to spin the multiples of 3 to be spun 6 times = \(2\) × \(6\)

⇒ \(12\)

Hence we can conclude that option 12 is the correct answer.

Learn more about permutation here

https://brainly.com/question/2767884

#SPJ2

The value of the given triple integral is (3π)/8.

To evaluate the given triple integral using cylindrical coordinates, we first need to express the integrand in terms of cylindrical coordinates. The cylindrical coordinates are given by (ρ, θ, z), where ρ is the distance from the z-axis, θ is the angle made with the x-axis (0 ≤ θ ≤ 2π), and z is the height.

Converting the Cartesian coordinates to cylindrical coordinates, we have:

We also have the limits of integration:

Substituting the cylindrical coordinates and limits of integration, we have:

∫∫∫3sin(x² y)d²xdydz = ∫₀²π ∫₀¹ ∫₀¹ 3sin(ρ² cos²θ sin²θ) ρ dz dρ dθ

Evaluating the z-integral, we get:

∫₀²π ∫₀¹ 3/ρ sin(ρ² cos²θ sin²θ) dρ dθ

Simplifying the integrand, we get:

∫₀²π ∫₀¹ 3/ρ sin(ρ²(1-ρ² sin²θ)) dρ dθ

Let u = ρ²(1-ρ² sin²θ). Then, du/dρ = 2ρ(1-3ρ² sin²θ). Solving for ρ in terms of u, we have:

ρ² = u/(1+u sin²θ)

Substituting for ρ² and du/dρ, we get:

∫₀²π ∫₀¹ 3/2 ∫₀¹ sin(u)/(1+u sin²θ) du dθ

Evaluating the u-integral using u-substitution, we get:

∫₀²π ∫₀¹ 3/2 ∫₀¹ sin(u)/(1+u sin²θ) du dθ = ∫₀²π ∫₀¹ 3/2 (1/2) ln(1+u sin²θ)∣₀¹ dθ

= ∫₀²π ∫₀¹ 3/4 ln(1+sin²θ) dθ

Solving the inner integral, we get:

∫₀¹ ln(1+sin²θ) dθ = θ - tan⁻¹(sinθ)∣₀¹ = π/2

Substituting back into the original integral, we get:

∫₀²π ∫₀¹ 3/4 ln(1+sin²θ) dθ = (3/4) π/2 = (3π)/8

Therefore, the value of the given triple integral is (3π)/8.

Learn more about triple integral

brainly.com/question/29418559

#SPJ11

Answer:

The length of the remaining wire is 53.8 centimeters

Step-by-step explanation:

Let us solve the question

∵ Cory has 66.92 centimeters of wire

∵ He uses 2 pieces of the wire, each piece he uses is 6.58 cm long

→ Find the length of the two pieces he uses

∵ He uses = 2 × 6.58

∴ He uses = 13.16 cm

∴ The length of wire he uses is 13.16 cm

→ The length of the remaining = the total length - the length he uses

∵ The length of the remaining = 66.92 - 13.16

∴ The length of the remaining = 53.76 cm

→ Round it to the nearest tenth of a centimeter

∴ The length of the remaining = 53.8 centimeters

∴ The length of the remaining wire is 53.8 centimeters

Answer:

f'(x) = 2ax + b

Step-by-step explanation:

Differentiate each term using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\) ) = na\(x^{n-1}\)

Given

f(x) = ax² + bx , then

f'(x) = 2a\(x^{2-1}\) + b\(x^{1-1}\)

     = 2ax + b\(x^{0}\) ( \(x^{0}\) = 1 )

     = 2ax + b

Answer:

B

Step-by-step explanation:

Answer:

B is the correct answer.

hope it helps my friend.

plz mark me as brainliest if you want.

Answer:

\(\huge\boxed{-1}\)

Step-by-step explanation:

\(\frac{-5^2}{(-5)^2}\)

=> \(\frac{-25}{25}\)

=> -1

Answer:

-1

Step-by-step explanation:

-5^2 is -25 because you have to do exponents first, so 5^2 is 25. Add a negative symbol there, it becomes -25.

For the denominator, we do the exact same process, except a little different. Since there are parentheses around the negative five, we have to apply the negative symbol on the 5 before we do the exponents. After, we do -5^2 which is 25 because when you are multiplying negative, you always get a positive.

When we are all done with that, we put the numerator over the denominator to get -25/25, which is equivalent to -1.

The variable that should be plotted on the horizontal x-axis is the "number of years of education".

This is because the number of years of education is the independent variable, which typically goes on the x-axis, while the annual salary is the dependent variable, which goes on the vertical y-axis.

The relationship between the two quantitative variables can then be analyzed using a scatter plot or by calculating the correlation coefficient.

To know more about horizontal x-axis refer here :

https://brainly.com/question/24439946#

#SPJ11

3230 Kilograms of the soil supplement are required for the entire Vineyard.

Some units that need to be recalled are as follows:

1 km = 1000 m

1 km^2 = 1000000 m^2

1 km^2 = 247 acres

1 kg = 1000 g

Let's tackle the problem now:

A vineyard has 145 acres of Chardonnay grapes.

145 acres = \(\frac{145}{247}\)× 1 km^2

145 acres = 145/247 km^2

145 acres ~ 0.587 km^2

A particular soil supplement requires 5.50 grams for every square meter of vineyard

1m^2 → 5.50 gram

1 km^2 = 10^6 →5.50 x 10^6 gram

1 km^2 →5.50 x 10^6 x 10^-3 kg

1 km^2 →5.50 x 10^3 kg

145 acres = 145/247 km^2 →145/247 x 5.50 x 10^3 kg

145 acres → 797500/247 kg

145 acres → 3230 kg

It required 797500/247 kg ~ 3230 kg of the soil supplement for the entire Vineyard.

Learn more about Soil Supplement at:

https://brainly.com/question/1578028

#SPJ4

The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

The average daily snowfall estimate for Wyoming's greatest 7-day snowfall is significantly different from the average daily snowfall estimate for South Dakota's greatest 7-day snowfall.

Wyoming and South Dakota are both known for their cold winters and heavy snowfall. However, the average daily snowfall estimate for Wyoming's greatest 7-day snowfall is likely to differ from that of South Dakota. Several factors contribute to this difference.

Firstly, Wyoming is home to the Rocky Mountains, which are known for their high elevation and heavy snowfall. This region experiences more frequent and intense winter storms, leading to higher snowfall amounts. South Dakota, on the other hand, has a relatively flatter terrain compared to Wyoming, resulting in less snow accumulation.

Secondly, geographical location plays a role. Wyoming is located further west and is influenced by Pacific weather systems, which can bring moisture-laden storms and heavy snowfall. South Dakota, being more inland and farther away from major moisture sources, may receive less precipitation overall.

Lastly, climate patterns can vary between the two states. Factors such as proximity to large bodies of water, prevailing wind patterns, and local topography can influence snowfall amounts. These variations can lead to differences in the average daily snowfall estimate for the greatest 7-day snowfall in Wyoming compared to South Dakota.

In conclusion, while both Wyoming and South Dakota experience significant snowfall, the average daily snowfall estimate for Wyoming's greatest 7-day snowfall is expected to be different from that of South Dakota. Factors such as elevation, geographical location, and climate patterns contribute to these differences in snowfall amounts between the two states.

Learn more about topography here:

https://brainly.com/question/15924652

#SPJ11

Answer:

$20

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

40/2=20

Answer = 3/4

First, change them all into like fractions.

-2, -11/4, -7/2 = -8/4, -11/4, -14/4

Therefore the common difference of their arithmetic sequence is 3/4

Hope it helps u.

Please mark the brainliest

Thank You

The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation by combining like terms:

3.3 + 4x = -6.9x + 6.6

Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:

4x + 6.9x = 6.6 - 3.3

Combine the x terms on the left side:

10.9x = 3.3

Now, divide both sides of the equation by 10.9 to solve for x:

x = 3.3 / 10.9

Using a calculator, we can find the decimal approximation of x:

x ≈ 0.3028

Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.

In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ1

Answer:

24.

hours 2 5 9 14

Cost 500 1250 2250 3500

25.

| x-65 | - 4x

Step-by-step explanation:

24.

y= kx

or, 1250= 5k

k= 250

x = y/k = 500/250 = 2

y = kx = 9 ×250 = 2250

x = y/k = 3500/250 = 14

The measure of an exterior angle of the regular polygon is given by 180 - (2340/2n) to the nearest degree.

The sum of the interior angles of a regular polygon is 2340°. Find the measure of an exterior angle to the nearest degree.

To find the measure of an exterior angle of a regular polygon, use the formula

`exterior angle = 360/n`,

where n is the number of sides of the polygon.

For instance, a regular polygon with 6 sides has six interior angles, each measuring 120 degrees. Using the formula

`exterior angle = 360/6`,

we get the exterior angle of the regular hexagon to be 60 degrees.

If the sum of the interior angles of a polygon with n sides is 2340°, the formula for calculating the measure of an interior angle `a` is given as:

a = (n - 2) × 180/n

Thus, a = (n - 2) × 180/n = 2340/n.

Now, using the formula for finding the exterior angle of a regular polygon, we have:

exterior angle = 360/n = 180 - a/2

Using the value of a we found earlier and substituting it into the formula, we get:

exterior angle = 180 - (2340/2n)

Therefore, the measure of an exterior angle of the regular polygon is given by `180 - (2340/2n)`.

learn more about exterior angle here:

https://brainly.com/question/28835566

#SPJ11

The missing lengths  in the triangles are h = 3/2√2 and b = 4√3

Triangle a and b

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

A special right triangle

For a right triangle with an angle of 45 degrees

The measure of the leg is

h = Hypotenuse/√2

So, we have

h = 3/√2

Evaluate

h = 3/2√2

For the other triangle, we have

sin(60) = b/6

So, we have

b = 6/sin(60)

Evaluate

b = 4√3

Read more about triangles at

https://brainly.com/question/14285697

#SPJ1

Answer:

the third expression

Step-by-step explanation:

x=10.8

(x2 / 18) + 33.52

10.8 x 10.8=116.64

116.64 divide by 18=6.48

6.48 + 33.52=40

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's solve for x and y ~

Since the given triangle is a right angled triangle, we can use Trigonometric ratios here to get the required values

\(\qquad \sf  \dashrightarrow \: \tan(45 \degree) = \dfrac{y}{2 \sqrt{2} } \)

\(\qquad \sf  \dashrightarrow \: 1= \dfrac{y}{2 \sqrt{2} } \)

\(\qquad \sf  \dashrightarrow \:y = 2 \sqrt{2} \: \: units\)

Now, let's get to x ~

\(\qquad \sf  \dashrightarrow \: \sin(45 \degree) = \dfrac{y}{x} \)

\(\qquad \sf  \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{2 \sqrt{2} }{x} \)

\(\qquad \sf  \dashrightarrow \:x = 2 \sqrt{2}{} \times \sqrt{2} \)

\(\qquad \sf  \dashrightarrow \:x = 2 \times 2\)

\(\qquad \sf  \dashrightarrow \:x = 4 \: \: units\)

I hope you understood the whole procedure ~

The group that would be indifferent between the tariff and the quota would be Japanese buyers of pharmaceuticals.

Both the tariff and the quota would result in a reduction of imports of U.S. pharmaceuticals, which would likely lead to an increase in the price of these products in Japan.

Japanese producers of pharmaceuticals would benefit from a reduction in competition, and the Japanese government may prefer one policy over the other based on factors such as revenue collection or political considerations. U.S. producers of pharmaceuticals would likely be negatively impacted by either policy.

However, Japanese buyers of pharmaceuticals would be indifferent between the two policies since both would result in a reduction of imports and an increase in price, which would be passed on to them.

Therefore, they would not have a preference for one policy over the other.

For more questions like Government click the link below:

https://brainly.com/question/7525246

#SPJ11