What is the value of x?

x =

The mural has a height equal to 10 feet.

In this problem we find the case of a square mural, whose area is already known. The following conditions associated with the statement of the problem are described below:

A = 100 ft²

A = l²

Where:

Then, the height of the mural is equal to:

100 ft² = l²

l = 10 ft

The height of the mural is 10 feet.

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Answer:

16

Step-by-step explanation:

33/3=11

11+5=16

Answer:

the 3rd answer choice is the correct one

Step-by-step explanation:

Let's actually find the inverse function:

1.  Replace 'f(x)' with 'y:'  y = 2x - 10

2. Interchange x and y:  x = 2y - 10

3.  Solve this result for y:  2y = x - 10, or  y =  (1/2)x - 5

Thus, the 3rd answer choice is the correct one.

Using the provided measures in the diagram and trigonometry, the value of z=5 cm

Consider the triangle on the left side

The angle= 45 degrees

Hypotenuse= \(3\sqrt{2}\) cm

sinθ=Opposite side / Hypotenuse

Substitute the values in the equation

sin45=Opposite side / \(3\sqrt{2}\)

Opposite side= sin45 × \(3\sqrt{2}\)

Opposite side= 3 cm

Consider the triangle on right side

The opposite side of the left side triangle equal to opposite side of the right side triangle

tan θ2= Opposite side / Adjacent side

Substitute the value in the equation

tan θ2=3/4

θ2= 36.87 degree

cos θ= Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ= 4/z

z= 5 cm

Hence, Using the provided measures in the diagram and trigonometry, the value of z=5 cm

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Answer:

See explanation

Step-by-step explanation:

The golden rule for solving equations is to

A. Simplify each side of the equation by removing parentheses and combining like terms

B. Add/Subtract to isolate the term with the variable on one side

C. Use multiplication/division to isolate the variable

Let's assume we have the equation \(2x + 3x + (5\cdot2) = 35\)

The first thing we need to do is solve inside the parentheses and combine like terms. 2x and 3x are like terms, so:

\(2x + 3x + 10 = 35\\\\5x + 10 = 35\)

Now we have to subtract/add to isolate the term with the variable. To do this, we can subtract 10 from both sides.

\(5x + 10 - 10 = 35-10\\\\5x = 25\)

Now we divide to isolate x.

\(5x \div 5 = 25\div5\\\\x = 5\)

Hope this helped!

if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Yeah Bro ! I'm here ,

.Given that ;-

slope ( m) = 3/2

y-intercept (c) = -3

Now ,

we know the equation of straight line in slope intercept form;

I.e

y = mx+c

Just substitute m and c 's value , we get

y= (3/2)x +( -3)

or,. y = 3x/2 - 3

\(y = \frac{3x}{2} - 3 \\ y = \frac{3x - 6}{2} \\ 2y = 3x - 6 \\ 3x - 2y = 6\\ \)

,

Hence 3x-2y = .6

3x-2y-6 =0 is the required equation.

Answer:

198 m³

Step-by-step explanation:

Find the area of the triangular prism.

3 × 4 × 1/2 × 9

= 54

Find the area of the rectangular prism.

4 × 4 × 9

= 144

Add their areas.

144 + 54 = 198

The area of the composite shape is 198 m³.

Answer:

840.96 square inches.

Step-by-step explanation:

If you want to find out how much space a weird shape takes up, you have to chop it up into smaller pieces that you know how to measure. Then you measure each piece and add them all up. Let me show you how it works:

Look at this funky shape. It's like a rectangle with two half-circles stuck to it. The rectangle is 40 inches long and 16 inches wide. The half-circles have a diameter of 16 inches, so their radius is half of that, which is 8 inches.

To find the area of the rectangle, just multiply its length and width. Area of rectangle = 40 x 16 = 640 square inches

To find the area of one half-circle, use this formula: A = πr²/2, where r is the radius and π is about 3.14. Area of one half-circle = 3.14 x 8²/2 = 3.14 x 64/2 = 100.48 square inches

To find the area of both half-circles, just double the area of one half-circle. Area of both half-circles = 100.48 x 2 = 200.96 square inches

To find the total area of the funky shape, just add the area of the rectangle and the area of both half-circles. Total area = 640 + 200.96 = 840.96 square inches.

Round the answer to make it look nicer: Total area ≈ 840.96 square inches.

So that's how much space the funky shape takes up: about 840.96 square inches.

The LU factorization of matrix A is A = LU, where L = [[1, 0, 0], [-2, 1, 0], [1.5, -3, 1]] and U = [[4, -8, 10], [0, 24, -27], [0, 0, -12.5]].

Let's go step by step to find the LU factorization of matrix A.

Matrix A:

A =

[4, -8, 10]

[-8, 8, -7]

[6, -7, 3]

Step 1:

Initialize the L matrix as an identity matrix of the same size as A.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 2:

Perform Gaussian elimination to obtain U.

- Multiply the first row of A by (1/4) and replace the first row of A with the result.

A =

[1, -2, 2.5]

[-8, 8, -7]

[6, -7, 3]

- Subtract 8 times the first row of A from the second row of A and replace the second row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[6, -7, 3]

- Subtract 6 times the first row of A from the third row of A and replace the third row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Step 3:

Update the L matrix based on the operations performed during Gaussian elimination.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 4:

The resulting matrix A is the upper triangular matrix U.

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Therefore, the LU factorization of matrix A is:

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

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the first 4 i think

its telling me to add more characters so im typing this

Answer:

I think 1,600

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

Find the relationship between the numbers;

22÷5=4.4

Therefore,

20×4.4=88

Just a bored teen willing to help,

hope you're having a splendiferous day...

The following differential equations with a solution
y" + y = 0 corresponds to solution A: y = cos(2)

y" + y' + 28y = 0 corresponds to solution B: y = e^(-4x)

y" + 11y' + 28y = 0 corresponds to solution C: y = e^(7x)

2x^2y" + 3xy' = y corresponds to solution D: y = x^(1/2)

1. y" + y = 0:

This is a second-order homogeneous differential equation with constant coefficients. The characteristic equation is r^2 + 1 = 0, which has complex roots r = ±i. The general solution is therefore a linear combination of sine and cosine functions:

y = c1 cos(x) + c2 sin(x)

Using the initial condition y(0) = 1, we can solve for the constants to get:

y = cos(x)

2. y" + y' + 28y = 0:

This is a second-order homogeneous differential equation with constant coefficients. The characteristic equation is r^2 + r + 28 = 0, which has complex roots given by the quadratic formula:

r = (-1 ± sqrt(1 - 4*28)) / 2 = (-1 ± 7i) / 2

The general solution is therefore a linear combination of exponential and sine/cosine functions:

y = e^(-x/2) (c1 cos(7x/2) + c2 sin(7x/2))

Using the initial condition y(0) = 1, we can solve for the constants to get:

y = e^(-4x)

3. y" + 11y' + 28y = 0:

The characteristic equation is r^2 + 11r + 28 = 0, which can be factored as (r + 4)(r + 7) = 0. The roots are r = -4 and r = -7. Therefore, the general solution is a linear combination of exponential functions:

y = c1 e^(-4x) + c2 e^(-7x)

Using the initial condition y(0) = 1, we can solve for the constants to get:

y = e^(7x)

4. 2x^2y" + 3xy' = y:

Dividing both sides by x^2 and letting z = y/x^(1/2). Then, we get:

z' + (1/4x)z = 0

This is a first-order homogeneous differential equation with an integrating factor of e^(1/4 ln x) = x^(1/4). Multiplying both sides by the integrating factor, we get:

x^(1/4) z' + (1/4)x^(-3/4)z = 0

The left-hand side is the derivative of (x^(1/4) z), so we can integrate both sides to get:

x^(1/4) z = c1

Solving for z, we get:

z =c1/x^(1/4)

Substituting back for y, we get:

y = x^(1/2) z = c1 x^(1/4)

Using the initial condition y(1) = 1, we can solve for the constant to get:

y = x^(1/2)

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Let:

Replace (1) into (2):

Replace the value of y into (1):

Answer:

I think its A and B

Step-by-step explanation:

Hope this helps.

Answer:

10. p-0.2p

11. 0.2p

.........................

Answer:

56.6in³

Step-by-step explanation:

volume of a pyramid = 1/3 x Area of base x height

1/3 x 11.1 x 15.3 = 56.61 in³

56.6 in³ to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

the hundredth term is 1 which is less than 5. O is added to 6

Answer:

C. The charge of each minute of a call is $0.40

Step-by-step explanation:

We look at the point (1, 0.4)

We know that our x = 1 is 1 minute of the call.

We know that y = 0.4 is the cost when 1 minute of the call has elapsed.

Therefore, our answer is C.

Answer:

Step-by-step explanation:

The answer is (c)

The price goes up $0.40 every minute Greg is on a call.

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8. Therefore, the correct options are B. 10 and E. 8.

To determine the possible values for the length of the third side of the triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given sides of lengths 5 and 13, we can check which values satisfy the triangle inequality:

The sum of the lengths of the two sides must be greater than the length of the third side:

5 + 13 > Third side

18 > Third side

Now let's check each given value:

A. 2: Not possible, since 18 > 2 does not hold true.

B. 10: Possible, since 18 > 10 holds true.

C. 24: Not possible, since 18 > 24 does not hold true.

D. 5: Not possible, since the given length is already one of the sides.

E. 8: Possible, since 18 > 8 holds true.

F. 19: Possible, since 18 > 19 does not hold true.

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8.

Therefore, the correct options are B. 10 and E. 8.

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Answer:

option 2 with radius of 1.4 in, and height of 1.2 in.

Step-by-step explanation:

If two cylinders are similar, the ratio of one cylinder's radius to its height must be the same as that of the other.

To know which cylinder is similar to the given cylinder with radius 2.8 in and height of 2.4 in, find the ratio, and compare with the ratio of the options provided. The option with the same ratio, is the cylinder that is similar.

This,

The given cylinder => radius : height = \( \frac{2.8}{2.4} = \frac{0.7}{0.6} = \frac{7}{6} \)

First option:

Radius : height = \( \frac{1.8}{1.4} = \frac{0.9}{0.7} = \frac{9}{7} \)

Second option:

Radius : height = \( \frac{1.4}{1.2} = \frac{0.7}{0.6} = \frac{7}{6} \)

Third option:

Radius : height = \(\frac{5.6}{4.2} = \frac{0.8}{0.6} = \frac{0.4}{0.3} = \frac{4}{3}\)

Fourth option:

Radius : height = \( \frac{2.4}{2.8} = \frac{0.6}{0.7} = \frac{6}{7} \)

The correct option with the cylinder that is similar with the given cylinder is option 2 with radius of 1.4 in, and height of 1.2 in.

The number of neutrons in the given symbols is as follows:

A. 12 neutrons 12-C

B. 1 neutron 13-N

C. None of this 3 H

+1

D. 7 neutrons 4. He

E. 6 neutrons 6−Li

+1

F. 4 neutrons

G. 3 neutrons

H. 2 neutrons

A. 12-C: The symbol "12-C" represents the isotope carbon-12, which has 12 neutrons.

B. 13-N: The symbol "13-N" represents the isotope nitrogen-13, which has 1 neutron.

C. 3⋅H

+1: The symbol "3⋅H+1" represents hydrogen-3 or tritium, which has 1 neutron.

D. 4.He: The symbol "4.He" represents the isotope helium-4, which has 2 neutrons.

E. 6−Li

+1: The symbol "6−Li+1" represents lithium-6, which has 3 neutrons.

F. 4: The symbol "4" does not represent any specific element or isotope, so the number of neutrons cannot be determined.

G. 3: The symbol "3" does not represent any specific element or isotope, so the number of neutrons cannot be determined.

H. 2: The symbol "2" does not represent any specific element or isotope, so the number of neutrons cannot be determined.

Explanation summary:

A. 12-C: Carbon-12 has 12 neutrons.

B. 13-N: Nitrogen-13 has 1 neutron.

C. 3⋅H

+1: Hydrogen-3 (tritium) has 1 neutron.

D. 4.He: Helium-4 has 2 neutrons.

E. 6−Li

+1: Lithium-6 has 3 neutrons.

F. 4: The symbol "4" does not represent any specific element or isotope.

G. 3: The symbol "3" does not represent any specific element or isotope.

H. 2: The symbol "2" does not represent any specific element or isotope.

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Answer:

196 / 3 \(\pi\)

Step-by-step explanation:

pi x radius x radius x height / 3

= pi x 49 x 4 / 3

= pi x 196 / 3

Answer:

∠JKP = 35°

Step-by-step explanation:

since P is the incenter, then lines to incenter bisect the corner angles:

7x - 6 = 5x + 4

subtract 5 x from both sides of the equation:

2x - 6 = 4

add 6 to each side:

2x = 10

divide both sides by 2:

x = 5

∠KJP = 7(5) - 6 = 29°

∠LJP = 5(5) + 4 = 29°

then ∠KJL = 29° + 29° = 58°

∠KLJ = 26° + 26° = 52°

∠JKL = 180° - 58° - 52° = 70°

∠JKP = 1/2 ∠JKL = 1/2(70°) = 35°

there might be a more direct way about it but this was the least confusing way I know to explain it.

D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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Answer:

55° is x

Step-by-step explanation:

Angle sum property of triangle = 180°

180 - 70 = 110

As it is an isosceles triangle, two sides and of course angles will be same.

So, 110 ÷ 2 = 55.

So, the two remaining angles will be 55°

Hope it helps!!!

Answer:

125.50 + 12.25 = 137.75

137.75/109 X 108.25 = 149.114375

total cost = $149.11

149.11 - 137.75= 11.36

sales tax = $11.36

Answer:

Cow

Step-by-step explanation:

The Cow's heartbeat is 520 beats in 8 minutes. This means that you can divide 520 by 8 to get your beats per minute count. 520/8 = 65.

Answer:cow

Step-by-step explanation:

The question is incomplete:

A farmer sells 8.1 kilograms of apples and pears at the farmer's market. 2/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answer:

She sold 4.86 kg of pears at the farmer's market.

Step-by-step explanation:

With information provided, you know the amount of kilograms of  apples and pears sold and that 2/5 of this weight is apples, so you can find first the number of kilograms of apples sold by multipying 2/5 for 8.1 kilograms:

2/5*8.1=3.24 kg

Now, you can find the kilograms of pears that the farmer sold by subtracting the kilograms of apples sold from the total amount of apples and pears sold:

8.1-3.24=4.86 kg

According to this, the answer is that she sold 4.86 kg of pears at the farmer's market.