What is a number that when you multiply it by 8 and subtract 12 from the product, you get 76?
Equation:
Solution:

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

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Answer:

-1

Step-by-step explanation:

12 + -13 = -1

Answer:

2.2 hours

Step-by-step explanation:

The equation to graph is

4.5cos(4pi/25 x)+15

Find amplitude by subtracting min from max and dividing it by two. a=4.5

Find vertical shift k by finding the midline. Either add 4.5 to 10.5 or subtract 4.5 from 19.5. k = 15

The period is given to be 12.5. Use formula 2pi/b = period to find b. b = 4pi/25

Put the equation into graphing calculator and find what x equals when the graph is 17 (for the first time)

Given:

Now,

The amplitude will be:

= \(\frac{Maximum - Minimum}{2}\)

By substituting the values,

= \(\frac{19.5-10.5}{2}\)

= \(4.5\)

Equation of graph will be:

= \(4.5 Cos (\frac{4 \pi}{25} x)+15\)

Now,

The vertical shift = \(10.5+4.5 = 19.5-4.5\)

                                             \(k = 15\)

∴ \(\frac{2 \pi}{b} = period\)

or,

    \(b = \frac{2 \pi}{period}\)

       \(= \frac{4 \pi}{25}\)

With the help of graphing calculator, the graph is 17 for "x = 2.2".

Thus the answer above i.e., "option 1" is correct.

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Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = \(P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2\)

attached below is the remaining solution

The correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,

The correct hypotheses for testing the linear relationship between two variables can be stated as:

H0: β1 = 0 (there is no linear relationship between the number of contacts and the number of texts sent)

Ha: β1 ≠ 0 (there is a linear relationship between the number of contacts and the number of texts sent)

Therefore, the correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

The amount of work done is Option A) 12 N/m

Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.

It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.

Work done on a body is equivalent  to the increase in the energy of the body, because it transfers energy to the body.

The formula for work done is;

W = fd

Where, 'f' is the applied force and d is the distance

Substitute the values

Work done = 6(2)

Work done = 12 N/m

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Answer:c, the answer is c

Step-by-step explanation:

Answer:

The answer is option A.

Hope this helps you

Answer:

A. 3x - 7y and -7y + 3x

Step-by-step explanation:

A. 3x - 7y

  -7y + 3x

All that is done is change the order using the Commutative Property

"a + b = b + a

The items have different y intercepts and different rate of change, option A is correct.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

For II, let us find the slope

m=2-4/0-3

m=2/3

Now let us find y intercept

2=b

Slope intercept form is y=2/3x+2

Hence, the items have different y intercepts and different rate of change, option A is correct.

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Answer:

ah yes 7 uuu lol

Step-by-step explanation:

Answer:

1 5/16

Step-by-step explanation:

(-1/4 - 1/2) ÷ (-4/7)

PEMDAS says parentheses first

Get a common denominator

(-1/4 - 2/4)  ÷ (-4/7)

(-3/4)  ÷ (-4/7)

Copy dot flip

-3/4 * -7/4

21/16

Change to a mixed number, 16 goes into 21  1 time with 5 left over

1 5/16

When a whole number greater than 1 has a negative integer exponent, the value of the expression is greater than zero but less than one.

The standard format of an exponential expression is given as follows:

\(a^b\)

In which:

When we have a negative exponent, the equivalent expression with a positive exponent is obtained inverting the base.

If we have a positive base greater than one to a negative exponent, we invert the base, meaning that it is less than one with a positive exponent, hence the value of the expression is greater than zero but less than one.

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Answer:

LCM of 4 and 5 is 20.

a/b = 3/4 = 15/20

b/c = 5/6 = 20/24

a:b:c = 15:20:24

Using variable concepts, it is found that the amounts of time that different surgical procedures take at hospital is continuous.

In this problem, the amounts of time that different surgical procedures take at hospital can be decimal, for example 10.5 minutes, hence it is a continuous variable.

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Determine the solution to the system. Explain students steps to solving the systems of equations.

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\(\Large{\underline{\mathcal{Given:}}}\)

ᴇǫᴜᴀᴛɪᴏɴs:

1️⃣➤x -4y = 7

2️⃣➤5x + 9y = 6

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\(\Large{\underline{\mathcal{ToFind:}}}\)

x and y values .

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\(\Large{\underline{\mathcal{Solution:}}}\)

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➠Here the elimination method is used as it is in the form of

where the two variables are unknown

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➠The two equations are added or subtracted to get one unknown value and later the identified value is substituted in either of the equation in order to get the another unknown value

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ʙʏ ᴇʟɪᴍɪɴᴀᴛɪᴏɴ ᴍᴇᴛʜᴏᴅ :

1️⃣➤x -4y = 7

2️⃣➤5x + 9y = 6

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➠First equation is multiplied with the suitable number in order to get any of the x or y values cancelled

then,

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1️⃣ ×-5➤-5x +20y = -35

2️⃣ ➤ 5x +9y = 6

___________________

\( \:\:\:\)➺29y = -29

\( \:\:\:\)➺y =- 29/29

\(\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ y = \frak{\pink{-1}}}}}\)

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Now,

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➠ the identified value is substituted in either of the equation in order to get the another unknown value

\( \\ \)

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1️⃣➤x -4y = 7

\( \:\:\:\)➺x - 4(-1) = 7

\( \:\:\:\)➺x +4 = 7

\( \:\:\:\)➺x = 7-4

\(\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x = \frak{\red{3}}}}}\)

____________________________

Answer:

Volume = 63 feet

Step-by-step explanation:

To find the volume of a cube or a rectangular prism, the formula is

(L x W x H)/3. In other words, it is the length of the prism, times the width of the prism, times the height of the prism, whole divided by three, since it has a "triangular shape."

Let's substitute in values for these letters, L, W, and H. You said the length was 7, the width was 6, and the height was 4.5. Therefore, it will result in

(7 x 6 x 4.5)/3. That results in 189/3, which is 63.

Hope this helped!!!

The probability that the hat was blue or was from Manufacturer B is 0.8677.

The P\((red)^{c}\) is 0.6985.

The P(manufacturer B and Red) is 0.1640.

The P(Manufacturer B or Red) is 0.8456.

Probability is used to determine the odds that a random event would happen. The odds that the random event happens range from 0 to 1.

The probability that the hat was blue or was from Manufacturer B = (number of blue hats / total number of hats) + (number of hats from manufacturer B / total number of hats)

The probability that the hat was blue or was from Manufacturer B = (44 / 136) + (74 / 136) = 118/136 = 0.8677

The P\((red)^{c}\) = complement of red = hats that are not red = (number of black hats + number of blue hats) / total number of hats

The P\((red)^{c}\) = (51 + 44) / 136

The P\((red)^{c}\) = 95 / 136

The P\((red)^{c}\) = 0.6985

The P(manufacturer B and Red) = (number of hats produced by manufacturer B / total number of hats) x (number of red hats / total number of hats)

(74 / 136) x (41 / 136) = 0.1640

The P(Manufacturer B or Red) =  (number of hats produced by manufacturer B / total number of hats) + (number of red hats / total number of hats)

(74 / 136) + (41 / 136) = 115 / 136 = 0.8456

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Answer:

4/5 in one hour

Step-by-step explanation:

15 minutes is 1/4 of an hour so all you need to do is multiply one 1/5 by four

tell me if im wrong plz

Answer:

4/5 in one  hour

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

5x - 21 = 2x + 39 (corresponding angles are congruent)

Collect like terms

5x - 2x = 21 + 39

3x = 60

Divide both sides by 3

3x/3 = 60/3

x = 20

Answer:

The answer is 45.9 L

Step-by-step explanation:

1. Multiply

25.5L x 1.8L

2. Solve

25.5 x 1.8= 45.9L

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Answer:

x = 52

Step-by-step explanation:

This is a picture of a right angle, which is 90 degrees. We should first make an equation to represent this problem.

(x - 12) + 50 = 90

1. Subtract 50 from both sides of the equation.

(x - 12) = 40

2. Add 12 from both sides of the equation

x = 52

The value of x is 52.

Answer:

52°

....

....

....

....

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

Answer:

A. (-3,-2)

Step-by-step explanation:

The solution to a system of equations is the point of intersection. These two lines cross at the point (-3, -2) that is the solution.