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Answer:

707.7

Step-by-step explanation:

3x-9.2 = 2114

2114+9.2 = 2123.2

3x = 2123.2

x = 707.7

Answer:

10.15

Step-by-step explanation:

3x-9.2 = 21.25

3x = 30.45

x = 10.15

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

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Answer:

X=98(Being corresponding angle)

You are correct

Answer:

A

Step-by-step explanation:

[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]

The total volume of both storage is 76 ft³

The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes centimetres³, metres³, inches,³ feet³, etc.

A solid three-dimensional shape with six square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square form means that all of its sides are square, and as a result, all of its edges will be of equal length. As a result, the cube's length, breadth, and height are all equal.

The formula to compute the volume of cube is a³; where 'a' is the edge of the cube.

Given:

Larger box volume = s³

smaller box volume = 12 ft³

Now, the edge of larger box = 4

So, volume of larger box

= 4 x 4 x 4

= 64 ft³

Hence, the total volume is = 64 +12 = 76 ft³

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Answer:

176

Step-by-step explanation:

Answer:

[tex]m[/tex]∠STV = 43°

Step-by-step explanation:

It has the corresponding relation with ∠UTV

Answer:

a

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

You can solve quadratic equations by completing the square. Completing the square involves creating a perfect square trinomial from the quadratic equation, and then solving that trinomial by taking its square root.

Step-by-step explanation:

Answer:

Answer: -7

Step-by-step explanation:

The roots at which the graph of f(x) =(x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x axis are -4 and -7.

In mathematics, a root is a solution to an equation that is usually stated as a number or an algebraic formula.

A quadratic equation's roots are the variable values that fulfil the equation. They are also referred to as "solutions" or "zeroes" of the quadratic equation.

We have If(x) = (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x-axis then y = f(x) = 0.

Now, if f(x) = 0

then (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] = 0

Now, calculating in separate the value of x as

x +4 =0 and x+ 7= 0

x = -4 and x = -7

Thus, the roots cross x axis at -4 and -7.

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Answer:

12 lbs for $15

Step-by-Step Solution:

12 / $15 = $0.80

8 / $9.20 = $0.87

Answer:

Step-by-step explanation:

Direct variation equation:

We have y = 900, when x = 12, find the value of k:

The equation is:

Now, find the value of y, when x = 4:

Answer:

16c-6

Step-by-step explanation:

(7c-6)+(6c-10)+(3c+10)=?

7c-6+6c-10+3c+10=?

Collect like terms.

16c-6-10+10

Add and subtract.

16c-6

Hope this helps :)

Answer:

the parentheses should be the first.

Step-by-step explanation:

follow the steps using PEMDAS.

P- parentheses

E- exponent

M- multiply

D- divide

A- addition

S- subtraction

Answer:

The answer is 100 - 37. Do not put parenthesis when answering your question.

Step-by-step explanation:

Answer:

14.0

Step-by-step explanation:

First, find the area of the whole circle using the equation pi * r^2.

pi * (7^2) = 49pi

Then, to only get the area of a quarter of the circle, divide this number by 4.

49pi/4 = 38.485

Then, to get only the shaded region, you have to find the area of the triangle and subtract it from the area of the quarter circle. The area of the triangle is found using 1/2 * b * h.

1/2 * (7*7) = 24.5

Then subtract that number from the previous one.

38.485 - 24.5 = 13.985

You need to round this to 3 significant figures, so it would be 14.0.

Hope this helps

Answer:

-8f

Step-by-step explanation:

you will substitute in the numbers and multiply

Because f is a variable you write the -8 and attach the f to it

The value of function for given x value is -1.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=-(x+8)²-1.

Substitute x=-8 in the given function, we get

f(-8)=-(-8+8)²-1

= -0-1

= -1

Therefore, the value of function for given x value is -1.

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"Your question is incomplete, probably the complete question/missing part is:"

What is the value of f(x)=-(x+8)²-1, if x is -8?

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )

The measure of the two vertical angles is 15°

The two vertical angles have measures (4x-21)° and (x+6)°

Note that:

The measure of two vertical angles are equal

Therefore, equate  (4x-21)° and (x+6)° and solve for x

(4x-21)° =  (x+6)°

4x  -  21   =  x   +  6

Collect like terms

4x  -  x   =   6  +  21

3x    =  27

x   =  27/3

x    =   9

Substitute x = 9 into 4x - 21

4x - 21 = 4(9)  -  21

4x  -  21  = 15°

Substitute x = 9  into x + 6

x  +  6  =  9  +  6

x  +  6  =  15°

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Answer:

es 54 espero que esto ayude adiós!

Step-by-step explanation:

El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³

Un cilindro es una forma tridimensional con dos bases paralelas unidas por una trayectoria curva a una distancia constante.

El volumen de un cilindro es:

Volumen = πr²h

Given that: r = 6 cm; h = 9 cm;

Volumen = πr²h = π(6)²(9) = 1018 cm³

El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³

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Answer:

slope = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, - 3) and (x₂, y₂ ) = (11, 0) ← 2 ordered pairs from the table

m = [tex]\frac{0-(-3)}{11-(-4)}[/tex] = [tex]\frac{0+3}{11+4}[/tex] = [tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]

Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.

Since the amount of chocolate decreases as the number of attendees increase;

We use inverse variation to model the scenario :

Taking any pair of points :

3000 = k/8

k = 3000 × 8

k = 24000

Therefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.

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Answer: C

Step-by-step explanation:

i took the test

Answer:

11) x = 21

12) x = 110

13) x = 85

14) x = 137

Step-by-step explanation:

Hope it helped <3

Answer:

im not sure ask siri

Step-by-step explanation:

she knows everything

Answer:

26 degrees

Step-by-step explanation:

The attached image shows how I interpret this question, and I assume you're meant to use trigonometry to solve.

From the perspective of the angle, we have a relationship between the opposite side, the hypotenuse, and the angle. Because the 2 sides are the opposite and the hypotenuse, we need the sine function, and because the angle is the unknown, we need the inverse sine function.

(soh cah toa)

[tex]sin(x)=\frac{opposite}{hypotenuse}\\\\sin^{-1}(\frac{opposite}{hypotenuse})=x[/tex]

Now, just plug in the 2 known values and solve for the unknown:

[tex]sin^{-1}(\frac{1.1}{2.5})=x\\\\sin^{-1}(0.44)=x\\\\x=26.1039[/tex]

The angle is 26 degrees, and you can check that by doing it in reverse:

[tex]sin(26.1039)=\frac{1.1}{2.5}\\\\sin(26.1039)=0.44\\\\0.44=0.44[/tex]

Answer:

10

Step-by-step explanation:

x is 10

Answer:

William is going on vacation for 54 days

Step-by-step explanation:

Answer:

C) William is going on vacation for 54 days

Step-by-step explanation:

We know that James is going on vacation for 9 days. We also know that William goes on vacation for 6 *times* as long. What this means is that we are answering 9 times 6, which is 54

Answer:

Multiply

Step-by-step explanation:

To raise a power to a power means to raise one exponent to another. Whether the exponents are real, imaginary, monomials or polynomials, to simplify these problems, all we have to do is multiply the exponents together.

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Answer:

2456≈2500

14725=14700 (to 3sf)

Answer:

-19/132

Step-by-step explanation:

To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get [tex]\frac{36}{132} + (-\frac{55}{132} )[/tex] = [tex]\frac{36-55}{132}[/tex]=[tex]\frac{-19}{32}[/tex][tex]-\frac{19}{132}[/tex]