The kinetic energy of a moving object varies directly with the square of its velocity. A bowling ball traveling at 15 meters per second has about 1000 joules of energy.



Write the equation that relates the kinetic energy, E, to its velocity, v.



Round your answer to the nearest hundredth.





About how much energy will a bowling ball have if it is moving at 11 meters per second?



Use your answer from part one. Round your answer to the nearest hundredth

The requried area of the actual room is given as 264 foot².

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
As given in the question,
1/2 inch = 1 foot
1 inch = 2 foot

Now,
A rectangular room measures 6 inches by 11 inches on the drawing.
= 6 inch × 11 inch
= 6 (2 foot) × 11 (2 foot)
= 12 × 22 foot²
= 264 foot²

Thus, the requried area of the actual room is given as 264 foot².

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The most reasonable metric measurement for the height of a kitchen counter is in cm (centimeters), i.e., 9.20×10 −4 cm.

The metric system consists of standard units of measurement for length, weight, and volume. The metric system is based on the decimal system and is used in most countries in the world, except for the United States.

The height of a kitchen counter is a measurement of length. One reasonable metric measurement for the height of a kitchen counter is centimeters (cm). Centimeters are a commonly used unit of measurement in the metric system and are appropriate for measuring smaller lengths such as the height of a kitchen counter.

Therefore, the option C,  9.20×10 −4 cm. is correct.

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Answer:

The product of x(x + 1) is x² + x

Step-by-step explanation:

x(x + 1)

x × x + x × 1

x² + x

Thus, The product of x(x + 1) is x² + x

-TheUnknownScientist

Answer:

Step-by-step explanation:

f(x) = x² + 2x - 15

0=x² + 2x - 15

a+b = 2

a*b = -15

0 = (x-5)(x-3)

x+5 = 0

x - 3 = 0

x = -5, 3

vertex = -b/2a

-(2)/2(1)

-2/2

x = -1

(-1)² + 2(-1) - 15

-16

vertex = (-1, -16)

vertex is point of minimum as a is positive.

Answer:

B

Step-by-step explanation:

distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !

D=5

to make the $75 for the $125

Answer:

What equation will you use to solve this word problem?

✔ 50 + 15d = 125

What equivalent equation can you write after combining like terms?

✔ 15d = 75

How many days will Maisie have to walk the dogs?

✔ 5 days

Step-by-step explanation:

I got it right so hope this helped you and other people out :)

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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Answer:

60 ft cubed

Step-by-step explanation:

3 x 4 x 1

= 12

6 x 8 x 1

=48

The 6 comes from dividing the shape into smaller rectangles, one rectangle is a 3 x 4 and the other is a 6 x 8

Answer:

1.75p + 1.50(p + 6) = 22

Step-by-Step:

p = peaches, m = mangos

1.75p + 1.50m = 22

m = p + 6

1.75p + 1.50(p + 6) = 22

1.75p + 1.50p + 9 = 22

1.75p + 1.50p = 22 - 9

3.25p = 13

p = 13 / 3.25

p = 4 <====== she bought 4 peaches

m = p + 6

m = 4 + 6

m = 10 <===== she bought 10 mangos

check...

1.75p + 1.50m = 22

1.75(4) + 1.50(10) = 22

7 + 15 = 22

22 = 22 (correct)

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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5 + 5 + 5 + 5 equals 550 ​lgjf8654

Answer: No

Step-by-step explanation:

5+5 is 10 then add 5 and its 15

Hope this helps if it does pls mark me brainiest.

Answer:

last one

Step-by-step explanation:

Answer:

215.177 cm^2

Step-by-step explanation:

To get the length of the wire we do the square root of 169 to get 13.

This means each side of the square is 13 cm long, so we do 13 times 4 to get total length of the wire.

This gives us a wire length of 52 cm and this is also equal to the circumference of the circle.

Setting 52=2πr (Circumference formula), we can rearrange this to 52/2π=r and get the radius to be equal to 8.276 cm.

After this we plug in the radius to the formula for area of a circle, A=πr^2 and get the area of the circle to be 215.177 cm^2  

Answer: 4 x (3 + 6)

Reason: 3 + 6 = 9

Answer:

B. (1 + 3) x 9 = 4x9

C. (2x9)+(2x9) = 4x9

Answer:

  a) 6

  b) 5

  c) 5

Step-by-step explanation:

In this context, "of" means "times."

a) 1/5 of 30 = 1/5×30 = 30/5 = 6

b) 1/4 of 20 = 1/4×20 = 20/4 = 5

c) 1/3 of 15 = 1/3×15 = 15/3 = 5

Answer:

a square angle

Step-by-step explanation:

because its a square agnle me barin is right :>

Answer:

1. Police station & mall

2. City hall & market

3. Church & park

4. Hospital & school

5. Park & city hall

6. Church & market

7. Police station & hospital

8. School & mall

9. City hall & mall

10. Church & hospital

See the image below for an illustration of each angle type.

Hope this helps!

You can prove someone is lying by taking a video of it

OR

You can drop something and blame it on your sister

OR

You can hit your head on the wall when she enters the room and blame it on her. haha!

Answer:

25.3

Step-by-step explanation:

I just put it in my calculator.

By substitution, the solution of the system of equations,  x + 6y = 2 and 5x + 4y = 36, is (8 , -1).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

x + 6y = 2     (equation 1)

5x + 4y = 36     (equation 2)

Using the first equation, find the value of one variable, lets say x, in terms of the other.

x + 6y = 2     (equation 1)

x = 2 - 6y

Substitute the value of x to the second equation.

5x + 4y = 36     (equation 2)

5(2 - 6y) + 4y = 36

10 - 30y + 4y = 36

Combining all terms containing the variable y on one side and the constants on the other side of the equality, and solving for y.

10 - 30y + 4y = 36

-30y + 4y = 36 - 10

-26y = 26

y = -1

Substitute the value of y in the equation of x.

x = 2 - 6y

x = 2 - 6(-1)

x = 2 + 6

x = 8

Hence, the solution of the given system of equations is (8 , -1).

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Answer:

Rectangle

Step-by-step explanation:

Since the base is a rectangle and the pyramid was cut horizontally that would leave the shape of the cross-section to be a rectangle as well.

hope this helped, have a great day :)

Answer:

Rectangle

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Looking for LCM of 4 2 and 3    <==== this is 12

The system of equations has one solution, with x = -6 and y = 0. This is determined by analyzing the slopes and intercepts of the equations.



The given system of equations is:

Equation 1: X - 2y = 6

Equation 2: y = (1/2)x + 3

To determine the number of solutions, we can analyze the slopes and intercepts of the two equations. In Equation 1, the coefficient of x is 1, and in Equation 2, the coefficient of x is 1/2. Since the slopes are not equal, the lines represented by the equations will intersect at a single point. Therefore, the system of equations has exactly one solution.

To find this solution, we can substitute the value of y from Equation 2 into Equation 1:X - 2((1/2)x + 3) = 6

X - x - 6 = 6

-X - x = 12

-2x = 12

x = -6

Now we can substitute the value of x into Equation 2 to find the corresponding value of y:y = (1/2)(-6) + 3

y = -3 + 3

y = 0

Thus, the solution to the system of equations is x = -6 and y = 0.

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Answer:

The GCF would be 3

Step-by-step explanation:

You’re welcome :)

Answer:

1. A

Step-by-step explanation:

To find f(g(x)), we have to substitute the formula for g(x) as the input for f(x).

   f( g(x) ) = f( x+7 )

               = 2 (x+7) - 3

               = 2x + 14 - 3

               = 2x + 11

The key is to substitute the entire formula for g(x) in as the input for f.

Therefore, it is equal to yTx + (n-1)yTx = nyTx.

Let's begin with the first question.

In order to show that x is an eigenvalue of matrix A, we need to compute Ax. We get Ax = xyT × x = x(yTx).

Since rank(A)=1, yTx is equal to a scalar, say c.

Hence, Ax=cx which means that x is an eigenvector of A, with the corresponding eigenvalue c.

Thus, x is an eigenvalue of matrix A, and the corresponding eigenvalue is yTx.

Now let's move on to the second question.

To find the other eigenvalues of A, we can use the fact that the trace of a matrix is equal to the sum of its eigenvalues.

Hence, if we can compute the trace of A, we can find the sum of the eigenvalues of A.

The trace of A is the sum of its diagonal elements.

A has rank 1, so it has only one non-zero eigenvalue.

Therefore, the trace of A is equal to the eigenvalue of A.

Hence, trace(A)=yTx.

To find the other eigenvalue of A, we can use the fact that the sum of the eigenvalues of A is equal to the trace of A.

Thus, the other eigenvalue of A is trace (A)-yTx = n-1 yTx, where n is the size of A.

Therefore, the eigenvalues of A are yTx and n-1 yTx.

These are the right eigenvalues because they satisfy the characteristic equation of A, which is det(A-lambda I)=0.

Finally, the trace of the sum of the eigenvalues of A is equal to the sum of the eigenvalues of A.

Hence, trace(A)+trace(A)T=2yTx

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The value of x = x = 1 - \(\frac{2\sqrt{2i} }{4}\) and x = 1 + \(\frac{2\sqrt{2i} }{4}\) by using quadratic formula

Given,

In the question:

The equation is :

2x^2-4x+3=0

To solve by using the quadratic formula :

Now, According to the question;

\(2x^2 -4x+3=0\)

Identify the coefficients

a = 2, b = -4 , c = 3

Use the quadratic Formula :

x = (-b±√(b²-4ac))/(2a)

Substitute into values above formula :

x = -(-4) +√(-4)²-4x 2 x 3))/(2x2)  or

x = -(-4) -√(-4)²-4x 2 x 3))/(2x2)

Determine the sign for exponential or radical expressions

x = -(-4) -√(-4)²-4x 2 x 3))/(2x2)

x =  4 -√16-4x 2 x 3))/(2x2)

Calculate the product or quotient

x = 4 -√16-24/4

x =  4 -√-8/4

x = 4 - √-8 x √-1/ 4

x = \(\frac{4\sqrt{2^2.2 } }{4}\) x \(\sqrt{-1}\)

Simplify the radical expression:

x = \(\frac{4 - 2\sqrt{2} . \sqrt{-1} }{4}\)

Rewrite by definition i = \(\sqrt{-1}\)

x = \(\frac{4-2\sqrt{2i} }{4}\)

x = 1 - \(\frac{2\sqrt{2i} }{4}\)

Hence, The value of x = x = 1 - \(\frac{2\sqrt{2i} }{4}\) and x = 1 + \(\frac{2\sqrt{2i} }{4}\) by using quadratic formula .

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The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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