Find the volume of a prism with base area 32 cm2 and height 1.5 cm.

The volume of Cylinder is 8624 \(cm^{2}\) and the radius and height of cylinder is 14 cm as per the given question.

Curved surface area of cylinder =2 x(area of the base) [as stated in the question]----Eq 1

Sum of radius and height = 28cm [r +h=28cm]-----Eq A

Curved surface area of cylinder = \(2\pi rh\)----Eq2

Area of base = \(\pi r^{2}\)---Eq3

Putting Eq 2 and 3 in Eq 1

\(2\pi rh\)=\(2\pi r^{2}\)

\(h=r\)

Thus from this we get that the height and radius of cylinder is equal.

Now Using Equation A

r + h =28cm

2r =28 cm

r=14 cm = h

so the height and radius of cylinder is 14 cm.

Volume of Cylinder = \(\pi r^{2} h\)

=22/7 x 14x14x14

=22 x 2 x14x 14

=8624 \(cm^{2}\)

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Answer:

69

Step-by-step explanation:

I just kept going up by 3 until the 20th term

x > 6

Hi there !

1/2 x + ²⁾3 < ²⁾2x - ²⁾6

x + 6 < 4x - 12

6 + 12 < 4x - x

18 < 3x

3x > 18

x > 18/3

x > 6

Good luck !

Answer:

The measure of the missing angle is 25 degrees.

The area of the given model can be calculated by multiplying (x + 4) (x + 2), which gives us x² + 6x + 8, which is an algebraic equation.

A formula that can be used to illustrate the relationship between two or more variables and numbers is an equation. Following the instructions in the area model, we will find the area of each rectangle provided in the picture:

Area of the blue rectangle = \(x^{\) × \(x^{\) = \(x^{\)²

Area of the orange rectangle =  \(x^{\) × 4 = 4\(x^{\)

Area of the yellow rectangle =   \(x^{\) × 2 = 2\(x^{\)

Area of the green rectangle = 4 × 2 = 8

Thus, the total area of the model can be given by adding the areas of the four above rectangles:

= \(x^{\)² + 4\(x^{\) + 2\(x^{\) + 8

= x² + 6x + 8.

Therefore, the area of the model is x² + 6x + 8.

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Answer:

IT IS B BECAUSE IT IS FACING TO THE RIGHT SIDE

Step-by-step explanation:

A. angle KLJ

B. angle MLK

D. angle EFH

All three angles mentioned have a tiny square marker to visually show the reader that the angle is a right angle, aka 90 degree angle. We can say that the segments forming the angle are perpendicular segments.

For angle GFE, it is smaller than angle EFH because point G is between or inside the angle EFH. So there is no way that angle GFE is a right angle.

The value of cos I as a fraction in simplest terms is 4/5.

This is a problem based on trigonometry. Trigonometry is a field of mathematics that explores the connections between triangle side lengths and angles. The length of the hypotenuse is 25. The length of the perpendicular is 15. The length of the base is unknown. We know that the angle ∠IJK = 90°.

We need to find the value of Cos(I). But we don't know the value of the length of the base of the triangle. So, we will first find Sin(I).

Sin(I) = 15/25

Sin(I) = 3/5

We know the trigonometric identity that Sin²θ + Cos²θ = 1.

Sin²I + Cos²I = 1

Cos²I = 1 - Sin²I

Cos²I = 1 - (3/5)²

Cos²I = 1 - (9/25)

Cos²I = (25 - 9)/25

Cos²I = 16/25

Cos(I) = √(16/25)

Cos(I) = 4/5

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Answer:

f^−1(x)=x7

Step-by-step explanation:

To find the inverse , inerchange the variable and slove for Y

The solutions \(\( \hat{\beta}_{0} \)\) and \(\( \hat{\beta}_{1} \)\) derived in class minimize the sum of squared residuals. This can be proven by starting from the first-order conditions.

In the context of linear regression, the goal is to find the values of the coefficients \(\( \hat{\beta}_{0} \)\)(the intercept) and\(\( \hat{\beta}_{1} \)\) (the slope) that minimize the sum of squared residuals. The sum of squared residuals is a measure of the discrepancy between the observed values and the predicted values of the dependent variable.

To prove that the solutions derived in class minimize the sum of squared residuals, we start by considering the first-order conditions. These conditions involve taking the partial derivatives of the sum of squared residuals with respect to\(\( \hat{\beta}_{0} \)\) and \(\( \hat{\beta}_{1} \)\), and setting them equal to zero.

By solving these first-order conditions, we obtain the values of\(\( \hat{\beta}_{0} \) and \( \hat{\beta}_{1} \)\)that minimize the sum of squared residuals. The derivation involves mathematical calculations and manipulation that result in finding the optimal values for the coefficients.

Since the first-order conditions are derived based on minimizing the sum of squared residuals, the solutions \(\( \hat{\beta}_{0} \) and \( \hat{\beta}_{1} \)\)obtained from these conditions are proven to be minimizing the sum of squared residuals rather than maximizing it.

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Answer:

1 of 4

Step-by-step explanation:

Answer:

The answer is C (square root of 4)

Step-by-step explanation:

Answer:

The answer is C (square root of 4)

Step-by-step explanation:

Because you

Answer:

B.

Step-by-step explanation:

If you calculate the sum of both you get:

5x + 2x + 4y - 7y = 24 + 26

7x - 3y = 50, which is B

Answer:

the 3rd option

Step-by-step explanation:

the x intercept is where the graph crosses. The x axis. Here the slope is negative one half. Count rise over run between two points. Use the ones on the grid

photmath,  alcaicion par aresolvr perbolmeas mtemataicso ,ect a

Answer:

may be only two method of its question for slove

For Bait and Tackle with a taxable income of $411,562, the tax calculation is as follows:

The first $50,000 of taxable income is taxed at a rate of 15% = $7,500

The next $25,000 of taxable income ($50,001 to $75,000) is taxed at a rate of 25% = $6,250

The next $25,000 of taxable income ($75,001 to $100,000) is taxed at a rate of 34% = $8,500

The next $235,562 of taxable income ($100,001 to $335,000) is taxed at a rate of 39% = $91,821.18

The remaining $76,562 of taxable income ($335,001 to $411,562) is taxed at a rate of 34% = $26,013.08

Total taxes owed = $7,500 + $6,250 + $8,500 + $91,821.18 + $26,013.08 = $140,084.26

The average tax rate is the total taxes owed divided by the taxable income:

Average tax rate = Total taxes owed / Taxable income = $140,084.26 / $411,562 ≈ 0.3404 or 34.04%

The margin tax rate is the tax rate on the last dollar of taxable income earned, which is the highest tax rate bracket that the taxable income falls into. For Bait and Tackle, the margin tax rate is 34%.

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Answer:

well if the x is an multiplication then your answer would be False

Step-by-step explanation:

5*2+25=0

35=0

False

Answer:

3/8

Step-by-step explanation:

hope this works for you :)

Answer:

the answer is 3/8

Step-by-step explanation:

5/8 + 3/8 = 1

The equation of the tangent plane to the surface \(xy^2 + yz^2 + zx^2\) = 1 at the point (1, 0, 1) is 2x - y + z = 3.

To find the equation of the tangent plane, we need to determine the normal vector to the surface at the given point (1, 0, 1). The normal vector is perpendicular to the tangent plane.

First, we calculate the partial derivatives of the surface equation with respect to x, y, and z:

∂(\(xy^2 + yz^2 + zx^2\))/∂x = \(y^2 + 2zx\),

∂(\(xy^2 + yz^2 + zx^2\))/∂y =\(2xy + z^2\),

∂(\(xy^2 + yz^2 + zx^2\))/∂z = \(x^{2} +2yz\).

Evaluating these partial derivatives at the point (1, 0, 1), we get:

∂(\(xy^2 + yz^2 + zx^2\))/∂x =\(0^2\) + 2(1)(1) = 2,

∂(\(xy^2 + yz^2 + zx^2\))/∂y = 2(1)(0) + 1^2 = 1,

∂(\(xy^2 + yz^2 + zx^2\))/∂z = \(1^{2}\) + 2(0)(1) = 1.

So, the normal vector to the surface at (1, 0, 1) is (2, 1, 1). Using the point-normal form of a plane equation, we can write the equation of the tangent plane as:

2(x - 1) + 1(y - 0) + 1(z - 1) = 0,

which simplifies to:

2x - y + z = 3.

Therefore, the equation of the tangent plane to the surface \(xy^2 + yz^2 + zx^2\)= 1 at the point (1, 0, 1) is 2x - y + z = 3.

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Based on the information, we do not have sufficient evidence to support thie claim that mean commute time of all uwt students be 27 minutes

Based on the given information, we have a 95% confidence interval for the mean commute time of UWT students as (29.5, 41.5). This means that we are 95% confident that the true mean commute time of all UWT students falls within this interval.

Since the confidence interval does not include the value of 27 minutes, we cannot conclude with 95% confidence that the mean commute time of all UWT students is 27 minutes.

It is possible that the true mean is 27 minutes, but based on the sample data and the constructed confidence interval, we do not have sufficient evidence to support this claim at a 95% confidence level.

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Answer:

answer is |-1| < 7

Answer:

{-1}<7 Hope it helped brainiest plz

Step-by-step explanation:

7 is greater than {-1} because it's a negative number and 7 is a positive.

Answer:

500w + 25 = 200

Step-by-step explanation:

"He withdraws $25 per week..." <------

Answer:

m= 70

s= 40

a= 110

d= 40

Step-by-step explanation:

Angle M is equal to 70 because it is an isoleases triangle.

The 3 sides of a triangle is equal yo 180. So if angle m is 70, then 70+70 is 140. 180-140 is 40. This makes angle s= 40.

Now we have to find angle a. Angle a and 70 make a straight line. So the line is 180. 180-70 is 110. Angle a is equal to 110.

Now we have to find angle d. As I said before All the angles of a triangle equal to 180. 30+110= 140 now 180 - 140= 40. This makes angle d= 40.

Answer:

I believe it is a total of 73.188

Answer:

x = 8/3

Step-by-step explanation:

3x + 16 = 24

3x = 24 - 16 (subtract 16 from both sides)

3x = 8

x = 8/3 (divide both sides by 3)

The given figure is a 2d representation of a 3d figure. If we wrap this figure, we get a building block.

In the figure below, the unknown edges are written:

Now, we have to find the area of all the polygons given in the figure. It consists of two same triangles and three different rectangles.

The area of the two triangles is given below:

Thus, the area of two triangles is 12 cm^2.

We know that the area of a rectangle is length times width. Now, the area of three rectangles is given below:

Thus, the area of three rectangles is 108 cm^2.

So, the total area is 12 + 108 = 120 cm^2.

Answer:

Step-by-step explanation:

Perpendicular lines are lines whose slopes are the negative reciprocal of each other.

So, in this case, the other line's slope is \(-10\)

Now we can use

\(y = mx + b\\y = -10x + b\\9 = -10(3) + b\\9 = -30 + b\\b = 39\\y = -10x + 39\)

To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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Answer: probability=1/4

Step-by-step explanation:

the answer varies depending on how many numbers we are using but from 1-10 its 1/2*1/2=1/4

Answer: The function f(x) = 4x³ - 2x is an odd function.

Explanation: A function is said to be even if f(-x) = f(x) and odd if f(-x) = -f(x).Now, let's verify the function f(x) = 4x³ - 2x for even or odd, f(x) = 4x³ - 2xPutting x = -x in the above expression, we get f(-x) = 4(-x)³ - 2(-x) = -4x³ + 2xNow, we have to verify whether the function is even or oddf(-x) = -4x³ + 2x ≠ f(x)Therefore, the function is odd.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f(x).

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