Write the equation in slope-intercept form that corresponds with this table.

Answer:

1331

Step-by-step explanation:

since 11 cube is 1331

plz mark as brainliest

Answer:

x = 11

Step-by-step explanation:

12x - 3x + 90 = 12x + 57

simplify both sides

12x - 3x + 90 = 12x + 57

9x + 90 = 12x + 57

inverse operations

9x + 90 = 12x + 57

-9x            -9x

90 = 3x + 57

-57         -57

33 = 3x

/3     /3

11 = x

Answer:

x = 11

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Write equation

12x - 3x + 90 = 12x + 57

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

{1,2,3,4,5}

Step-by-step explanation:

union is the collection of all numbers from set A and set B.in order

Answer:

165

Step-by-step explanation:

165+15=180

Step-by-step explanation:

Hey there!

1.)

Looking in figure;

5x = 100° {vertically opposite angle}

x = 100°/5

Therefore, X = 20°.

2.)

Looking through figure;

3x + 39° = 90°{The symbol in figure is 90°}

3x = 90°-39°

3x = 51°

x = 51°/3

x = 17°.

Therefore, X = 17°.

Hope it helps...

9514 1404 393

Answer:

Step-by-step explanation:

1. The equation should be 5x = 100, because the marked angles are congruent.

Then, dividing by 5 gives ...

  x = 100/5

  x = 20

__

2. The angles have a sum of 90°, not 180°. The correct equation is ...

  3x +39 = 90

  x + 13 = 30 . . . . divide by 3*

  x = 17 . . . . . . . . subtract 13

_____

* Sometimes when the terms of the equation have the coefficient of x as a common factor, I like to divide by that first. It makes all of the numbers smaller, so more comfortable for me to deal with. The usual method would be to subtract 39 before doing the division. You get the same answer either way.

Step-by-step explanation:

variable x = bats

variable y = balls

3x + 6y = 3900

1x + 3y = 1300

I believe this is what they meant by represent it algebraically, but I'm not sure exactly what your class is learning right now. Geometrically, I do not know what they mean. I hope this helps you in some way

Answer:

The correct option is;

Decrease b.

Step-by-step explanation:

The given information are;

The function in the question is given by the equation, y = a·cos(b·x)

Where;

a > 0 and b > 0

The location of the x-intercept is given by the values of x when y = 0 which are obtained as follows;

When y = 0, y = a·cos(b·x) = 0

Therefore;

cos(b·x) = 0/a = 0

∴ b·x = cos⁻¹(0) = π/2, 3·π/2, (4·n×π + π)/2

Therefore, as b decreases, x increases.

Answer: B

Decrease b.

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Step 1: Write equation

9 + 3x - 5x = 4x - 3x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

9 + 3(3) - 5(3) = 4(3) - 3(3)

9 + 9 - 15 = 12 - 9

18 - 15 = 3

3 = 3

Answer:

84+n=342

Step-by-step explanation:

you would subtract 84 from 342 to find the width since it is perimeter.

43.36% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

To determine the percentage of scores between 690 and 900, we need to calculate the area under the normal distribution curve between these two values.

First, we need to standardize the scores using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation.

For the score 690:

z1 = (690 - 680) / 120 = 0.0833

For the score 900:

z2 = (900 - 680) / 120 = 1.8333

Next, we need to find the area between these two standardized scores. We can use a standard normal distribution table or a statistical calculator to find the corresponding probabilities.

From the standard normal distribution table, we find that the area to the left of z1 is approximately 0.5328 and the area to the left of z2 is approximately 0.9664.

To find the area between z1 and z2, we subtract the smaller area from the larger area:

Area = 0.9664 - 0.5328 = 0.4336

Finally, we convert the area to a percentage by multiplying by 100:

Percentage = 0.4336 * 100 ≈ 43.36%

Therefore, approximately 43% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

Know more about percentage here:

https://brainly.com/question/24877689

#SPJ8

To find the Lateral Surface Area and Surface Area of a Triangular and Rectangular Prism, follow the below steps:

Lateral Surface Area of a Triangular Prism:

Step 1: Draw a net of the triangular prism

Step 2: Identify the height of the prism, which is perpendicular to the triangular base.

Step 3: Calculate the perimeter of the base by adding all the sides of the triangle.

Step 4: Multiply the perimeter by the height to get the Lateral Surface Area.Lateral Surface Area = Perimeter of the Base × Height Surface Area of a Triangular Prism:

Step 1: Identify the base and height of the triangle.

Step 2: Use the formula to find the area of the triangle: Area of the Triangle = (1/2) × Base × Height.

Step 3: Multiply the result of step 2 by 2 and add it to the Lateral Surface Area.Surface Area = 2(Area of the Triangle) + Lateral Surface Area.

Surface Area of a Rectangular Prism:

Step 1: Identify the length, width, and height of the rectangular prism.

Step 2: Find the areas of each face of the rectangular prism.

Face 1: Length × Width

Face 2: Length × Height

Face 3: Width × Height

Step 3: Add up the area of all faces of the rectangular prism.

Surface Area = 2(LW + LH + WH)

To learn more about : Rectangular Prism

https://brainly.com/question/30337697

#SPJ8

Answer:

3

Step-by-step explanation:

A point on the graph is at (-6, 3). Hope this helps!

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

learn more on angles here: brainly.com/question/24195209

#SPJ1

Answer:

6e+22

Step-by-step explanation:

I thinkkkk??? maybeee

Answer:

6e+22

Step-by-step explanation:

Hope this helps! Sorry if it's wrong.

Answer:

  y +2 = -3(x -2)

Step-by-step explanation:

The point-slope form of the equation of a line is useful for this:

  y -k = m(x -h)   . . .    for a line of slope m through point (h, k)

__

  y +2 = -3(x -2) . . . . fill in the given values. Note that -(-2) = +2

Answer:

domain can be from 0 to 20

Step-by-step explanation:

if she doesn't swim, it will be 0 but she can swim up to 20 minutes which will be our x value and our max domain value

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y = [tex]\frac{2}{3}[/tex] x + 3 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex]

His error was in missing the negative sign from [tex]\frac{3}{2}[/tex]

Answer:

[tex]\frac{dc}{dt}\approx13.8146\text{ km/min}[/tex]

Step-by-step explanation:

We know that the plane travels at a constant speed of 14 km/min.

It passes over a radar station at a altitude of 11 km and climbs at an angle of 25°.

We want to find the rate at which the distance from the plane to the radar station is increasing 4 minutes later. In other words, if you will please refer to the figure, we want to find dc/dt.

First, let's find c, the distance. We can use the law of cosines:

[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

We know that the plane travels at a constant rate of 14 km/min. So, after 4 minutes, the plane would've traveled 14(4) or 56 km So, a is 56, b is a constant 11. C is 90+20 or 115°. Substitute:

[tex]c^2=(56)^2+(11)^2-2(56)(11)\cos(115)[/tex]

Evaluate:

[tex]c^2=3257-1232\cos(115)[/tex]

Take the square root of both sides:

[tex]c=\sqrt{3257-1232\cos(115)}[/tex]

Now, let's return to our law of cosines. We have:

[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

We want to find dc/dt. So, let's take the derivative of both sides with respect to t:

[tex]\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2+b^2-2ab\cos(C)][/tex]

Since our b is constant at 11 km, we can substitute this in:

[tex]\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2-(11)^2-2a(11)\cos(C)][/tex]

Evaluate:

[tex]\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2-121-22a\cos(C)][/tex]

Implicitly differentiate:

[tex]2c\frac{dc}{dt}=2a\frac{da}{dt}-22\cos(115)\frac{da}{dt}[/tex]

Divide both sides by 2c:

[tex]\frac{dc}{dt}=\frac{2a\frac{da}{dt}-22\cos(115)\frac{da}{dt}}{2c}[/tex]

Solve for dc/dt. We already know that da/dt is 14 km/min. a is 56. We also know c. Substitute in these values:

[tex]\frac{dc}{dt}=\frac{2(56)(14)-22\cos(115)(14)}{2\sqrt{3257-1232\cos(115)}}[/tex]

Simplify:

[tex]\frac{dc}{dt}=\frac{1568-308\cos(115)}{2\sqrt{3257-1232\cos(115)}}[/tex]

Use a calculator. So:

[tex]\frac{dc}{dt}\approx13.8146\text{ km/min}[/tex]

And we're done!

Answer:

x = 26

Step-by-step explanation:

The sum of the angles around point O = 360°, thus

x + 3x + 256 = 360 , that is

4x + 256 = 360 ( subtract 256 from both sides )

4x = 104 ( divide both sides by 4 )

x = 26

Answer:

15

Step-by-step explanation:

Since it's an isosceles triangle, all the sides are the same. Since one side is 5 all the other sides are 5 as well. 5 × 3 = 15

Answer:

g(-7) = 5

Step-by-step explanation:

Step 1: Define

g(x) = -2x - 9

g(-7) is x = -7

Step 2: Substitute and Evaluate

g(-7) = -2(-7) - 9

g(-7) = 14 - 9

g(-7) = 5

Answer:

g(-7)=5

Step-by-step explanation:

-2 (-7) - 9 =

14 - 9 =

5

Answer:

0.06 cubic meters per year

Step-by-step explanation:

The correct answer is the average speed for the entire trip is 34.5 miles per hour and The integral that represents this information is as follows: f(x)dx = ∫23 dx + ∫69 dx Where x represents the distance travelled in miles.

To find out the average speed for the entire trip, we will use the formula for average speed which is given as follows: Average speed = Total distance/Total time

Let's calculate the time taken to travel 138 miles at 23 mi/h

Speed = 23 mi/h

Distance = 138 mi

Time taken = Distance/Speed = 138/23 = 6 hours

Now, let's calculate the time taken to return back to the starting point, which is again 138 miles away but this time at 69 mi/h.

Speed = 69 mi/h

Distance = 138 mi

Time taken = Distance/Speed = 138/69 = 2 hours

Now, the total time taken for the entire trip is 6 + 2 = 8 hours.

The total distance travelled for the entire trip is 2 x 138 = 276 miles.

Now we can use the formula for average speed to calculate the average speed of the entire trip.

Average speed = Total distance/Total time = 276/8 = 34.5 miles per hour

Therefore, the average speed for the entire trip is 34.5 miles per hour.

The integral that represents this information is as follows: f(x)dx = ∫23 dx + ∫69 dx Where x represents the distance travelled in miles.

The limits of integration are from 0 to 138 for both integrals, representing the forward and backward journeys.

know more about average speed

https://brainly.com/question/13318003

#SPJ11

The developer can have a maximum of 40 lots on the 16-acre subdivision.

To calculate the number of lots the developer can have on the 16-acre subdivision, we need to subtract the area occupied by streets and common areas from the total area and then divide it by the minimum lot size.

1 acre is equal to 43,560 square feet, so 16 acres is equal to 16 * 43,560 = 696,960 square feet.

The streets and common areas will take up 30% of this overall area:

30% of 696,960 = 0.3 * 696,960 = 209,088 square feet.

Now we subtract the area occupied by streets and common areas from the total area to find the area available for the lots:

696,960 - 209,088 = 487,872 square feet.

Since the minimum lot size is 12,000 square feet, we divide the available area by the minimum lot size to find the number of lots:

487,872 / 12,000 = 40.656.

Since we cannot have a fraction of a lot, the developer can have a maximum of 40 lots on this property.

As a result, the 16-acre subdivision may only accommodate a maximum of 40 lots from the developer.

for such more question on area

https://brainly.com/question/15822332

#SPJ8

Answer:

x = 2/3 or x = -2/3

Step-by-step explanation:

Solve for x over the real numbers:

9 x^2 = 4

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 9:

x^2 = 4/9

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

Answer:x = 2/3 or x = -2/3

Distribute 4 through the parentheses.

4x + 12 = 4x + 12

Subtract 12 from both sides.

4x + 12 - 12 = 4x + 12 - 12

Subtract twice.

4x = 4x

Subtract 4x again.

4x - 4x = 4x - 4x

The answer is 0.

In the first item, Erin has a total of 18 coins with a combined value of $2.05. The coins consist of nickels, dimes, and quarters. It is stated that the number of nickels is twice the number of quarters, and we are asked to determine the quantities of each coin.

Let's assign variables to represent the number of each coin. Let N be the number of nickels, D be the number of dimes, and Q be the number of quarters. We have three equations based on the given information:
N + D + Q = 18 (the total number of coins is 18)
5N + 10D + 25Q = 205 (the total value of the coins is $2.05)
N = 2Q (the number of nickels is twice the number of quarters)
To solve this system of equations, we can substitute N = 2Q into the first two equations. Substituting N with 2Q in equation 1 gives us:
2Q + D + Q = 18
3Q + D = 18
Substituting N with 2Q in equation 2 gives us:
5(2Q) + 10D + 25Q = 205
10Q + 10D + 25Q = 205
35Q + 10D = 205
Now we have a system of two equations with two variables. By solving these equations simultaneously, we can determine the values of Q, D, and N.

Learn more about quarters here
https://brainly.com/question/1253865



#SPJ11