There are 85 students in a college mathematics class. Five students are
chosen to work on a project together. How many different groups of five
students are there in this class?

Answer:

Slope intercept form does not dictate whether or not a function is linear. What determines if a function is linear is if there is one independent variable, one dependent variable, and it makes a STRAIGHT line. This function is linear because there are only 2 variables and a horizontal line.

Levi could have determined that the graph was linear by checking the conditions stated above or graphing it out. Then, he would see that y = 2 is a straight horizontal line with an independent and dependent variable.

Hope this helps!

Answer:

3

Step-by-step explanation:

9/3 = 3

Answer:

The answer is 3.

Because 3x3 = 9

and 9 divided by 3 equals 3

Answer:

7

Step-by-step explanation:

Hey there!

In order to answer this question you need to substitute the "y-value"

As you can see, y=8 and we need to put 8 where there is y

8-3+2 is what the equation will look like

Now we can simplify

8-3 is 5 and 5+2 is 7

So your answer is 7

The file size sent in kilobytes was converted to bytes, the 4 kilobytes is equivalent to 80 bytes

Given Data

We are told that 1 kilobytes = is equivalent to 20 bytes

hence 4 kilobytes will be equivalent to x bytes

cross multiplying we have

4*20 = x

x = 80 bytes

Therefore, the file size is 80 bytes

Learn more about unit conversion here:

https://brainly.com/question/13016491

Answer:

75%

Step-by-step explanation:

It's over 50% and it's definitely not 100%

Answer:

The volume is 288 ft^3

Answer:

288

Step-by-step explanation:

The formula for finding the volume is to find the side and then multiplying it by the width. (half of the base times length times width) So, you first find the area of the triangle.

9x4=36, 36/2=18.

Then, 16x18=288.

x y

1 16

2 12

3 8

5 0

Step-by-step explanation:

you have to substitute ever number on the X side in the equation to get the Y

for example 1 is under x so you will take

y=20-4(1)

y=20-4

y=16

Answer:

23.14

Step-by-step explanation:

The semi circular region's diagram looks as if it is half of a circle, cut in half by its diameter.

So the circumference of a circle is 2πr or πd

This is half a circle, so the formula is πd/2

π9/2  =  14.137

However, that's only half of the circumference. That does not contain the diameter that is also included.

So if you add 9m to that you get 23.137

Answer:

The second method is correct because in the first method she eliminates a solution by dividing through by x and assuming she graphed correctly, the solutions she gave are correct.

Step-by-step explanation:

Answer:

Yes she's correct

Step-by-step explanation:

Let's check

Cancel one x

Another root is 0

So as a quadratic equation it's correct

Suppose that the number u were thinking about is x thus :

[tex] \frac{1}{4} x + \frac{1}{2} x = 12 \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{1}{4} x + \frac{1}{2} x) = 4 \times 12 \\ [/tex]

[tex]x + 2x = 48[/tex]

[tex]3x = 48[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{48}{3 } \\ [/tex]

[tex]x = 16[/tex]

Answer:

A

Step-by-step explanation:

You should always multiply before adding or subtracting. By saying "a product of 8 and 3," it means we multiplied them together first.

You should then add and subtract in the order in which they appear. Saying "five more" before "minus 2" means we did it in the right order.

Answer:

16

Step-by-step explanation:

Use the method of PEMDAS (Parenthesis, Exponent, multiplication, division, addition and then subtraction.)

When using this order you would do 10-9 first

23 + 5 * (10-9) - 12

23+ 5 * 1 - 12

then 5 times 1

23 + 5 * 1 - 12

23 + 5 - 12

then 23 + 5 and subract 12 from the solution

23 + 5 - 12

28 - 12 =

16

Answer:

Slope: 50x

One point will be: (1,50)

Equation: y = 50x

Step-by-step explanation:

Answer:

The slope of the linear equation is *50

One point on the graph of the linear equation will be *(3, 150)

This linear equation can be written as *y – 150 = 50(x – 3)

Step-by-step explanation:

ttm

Answer:

put the cords on a chart

Step-by-step explanation:

Answer: (-1,-6)

Step-by-step explanation:

x^2+6x+3

g(x) = f(x-2)

replace all value of x in the f(x) function to (x-2)

(x-2)^2 + 6(x-2) + 34

(x-2)(x-2) + 6(x-2) + 34

expand through FOIL and distribution

x^2-4x+4+6x-12+3

combine like terms

x^2+2x-5

-b/2a = x value of vertex

-2/2(1) = x value

x value = -1

plug in -1 for all values of x in the g(x) equation to solve for y value

(-1)^2+2(-1)-5

1-2-5 = -6

y = -6

x = -1

(x,y) = (-1,-6)

The vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)

If a quadratic equation is written in the form

[tex]y=a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This point (h,k) is called the vertex of the parabola that quadratic equation represents.

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

So, we're given that:

Thus, we get:

[tex]g(x) = f(x-2) \\g(x) = (x-2)^2 + 6(x-2) + 3 \\g(x) = x^2 -4x + 4 + 6x - 12+3\\ g(x) = x^2 + 2x -5[/tex]

Converting g(x) to vertex form:

[tex]g(x) = x^2 + 2x - 5\\g(x) = x^2 + 2x + 1 - 1 -5\\g(x) = (x+1)^2 -9\\g(x) = (x - (-1) )^2 -6\\g(x) = (x-(-1))^2 + (-6)[/tex]

Comparing this with [tex]a(x-h)^2 + k[/tex], we get (h,k) = (-1,-6) as the coordinate of the vertex of the graph of g(x), as shown below.

Thus, the vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)

Learn more about vertex form of a quadratic equation here:

https://brainly.com/question/9912128

HCF for both I believe!

Answer: D. 94.25 in²

Step-by-step explanation:

To find the total area, we will break the shape up into two different parts.

[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.

      Area of a circle:

A = πr²

      Use 3.14 for pi:

A = (3.14)r²

      Find the radius:

d / 2 = r, 10 / 2 = 5 in

      Subsittue:

A = (3.14)(5)²

A = 78.5 in²

      Divide by 2 since it is only half:

78.5 in² / 2 = 39.25 in²

[] The triangle is 55 in².

      Area of a triangle:

A = b*h/2

A = 11 * 10 / 2

A = 110 / 2

A = 55 in²

[] Total area. We will add the two parts together.

55 in² + 39.25 in² = 94.25 in²

Answer:

D. 94.25

Step-by-step explanation:

Hey there! In order to answer this question: you need to take the area of the triangle and the area of half of a circle

The formula for the area of a triangle is: base x height x 1/2

11 x 10 x 1/2 = 55

To find the area of a circle, you have to take the radius, square it, and multiply it by 3.14

So the radius is 5 since 10 is the diameter of the circle

Now we have to square that which is 25

Multiply 25 by 3.14 which is 78.5

Now since we are dealing with a half circle and the area for the whole circle is 78.5, we divide 78.5 by 2 which is 39.25

Now you have to add those two areas and that will get your final answer

55+39.25 is 94.25

So the area for this figure is 94.25 square inches

Answer:

Floating point(Decimal) is 0.1

Fraction is [tex]\frac{1}{10}[/tex]

10^-1 is going to be 0.1 in this case. This is because 10^-1 is the same as [tex]\frac{1}{10^1}[/tex], which is the same as [tex]\frac{1}{10}[/tex], because anything times 1 remains the same.

[tex]\frac{1}{10}[/tex] is the same as 0.1

We get a 2-in-1 answer, which is perfect for this scenario!

Hence, the correct answers are [tex]\frac{1}{10}[/tex] and 0.1

Answer:

3.5

Step-by-step explanation:

The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores

Answer:

183.6 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area = Area of trapezium - area of parallelogram-area of semicircle

= [tex]\frac{1}{2}(a+b)h-b*h-\frac{\pi r^{2} }{2\\}[/tex]

=[tex]\frac{1}{2}(25+15)24-13*16-\frac{\pi (15/2)^{2} }{2\\}[/tex]

= 183.6 [tex]cm^{2}[/tex]

Let's use some identities to help us solve

    [tex]x = 4 cos(t)\\\frac{x}{4} =cos(t)\\\\y = 5sin(t)\\\frac{y}{5} =sin(t)[/tex]

We know -->  [tex]sin^2(t)+cos^2(t) = 1[/tex]

So:

   [tex]\frac{y^2}{5^2} +\frac{x^2}{4^2}=1\\ \frac{x^2}{16} +\frac{y^2}{25} =1[/tex]

Thus the choice is the second choice

An equation is formed of two equal expressions. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given two of the equations which can be rewritten as shown below,

x = 4 cos(t)

x/4 = cos(t)

Squaring both sides of the equation,

x²/16 = cos²(t)

y = 5 sin(t)

y/5 = sin(t)

Squaring both sides of the equation,

y²/25 = sin(t)

y²/25 = sin²(t)

Adding the two of the given equations we will get,

(x²/16) + (y²/25) = cos²(t) + sin²(t)

(x²/16) + (y²/25) = 1, this is because cos²(x) + sin²(x) = 1

The rectangular form of the parametric equations x=4cos(t)and y=5sin(t) is (x²/16) + (y²/25) = 1.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ5

Answer:

There are five terms.

Terms in an expression contains variables and numbers. They are separated by any operators like addition and subtraction.

In this expression the terms are:

a^3,  3a^2b , -4ab, -11b and 7

As you can see, there are five terms in the expression

Answer:

11, 15, 20

Step-by-step explanation:

[tex]there \: would \: be \: 11 \: between \: 4 \: and \: 9 \\ 4 + 11 = 15 \\ 11 + 9 = 20 \\ 20 + 15 = 35 \\ \: please \: rate \: brainliest[/tex]

The numbers in the grid are:

4     11     9

  15     20

     35

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 + x = a _____(1)

9 + x = b ______(2)

And a + b = 35

From (1) and (2),

4 + x = a

9 + x = b

13 + 2x = a + b   ( Adding )

Now,

13 + 2x = a + b

13 + 2x = 35

2x = 22

x = 11

Thus,

4     11     9

  15     20

     35

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

204 inches

Step-by-step explanation:

First, change the 5yd2ft to be just feet.

1 yard = 3 feet

5 yd × 3ft/yd = 15 ft

15 ft + 2ft = 17ft

Next, change to inches.

1 ft = 12 inches

17ft × 12in/ft = 204 in

5 yds 2 ft = 204 in

Answer:

204 inch-

Step-by-step explanation:

 1:    change the 5yard 2ft to be just feet.

1 yrd  = 3 feet

5 yrds  × 3ft/yd = 15 ft

15 ft + 2ft = 17ft

2:     change to inches.

1 ft = 12 inch

17ft × 12in/ft = 204 in

5 yards  2 ft = 204 in

~Jax~

Without going too much into the proofs angle ACD is congruent to angle DBA.

If ACD is ~= DBA then

ACD = 54 degrees

Explanation:

The figure is a reflection. While orientation isnt preserved in reflections side lengths and angle measures are.

This means that both triangles have the same side length measures and have the same angle measures.

You are given the angle measures of one of the triangles. We also know both triangles are congruent since they both fit perfectly inscribed in the circle.

With this in mind you can prove that all the angles of each triangle are congruent.

Thus

ACD = 54 degrees

Answer:

Q = 61.56°

Step-by-step explanation:

cos ∅ = adjacent/hypotenuse

cos Q = 10/21

cos Q = 0.4762

Q = 61.56°

Answer:

28.26 ft²

Explanation:

[tex]\sf area \ of \ circle = \pi r^2[/tex]

Here given diameter: 6 ft

radius: d/2 = 6/2 = 3 ft

========

area of rug:

[tex]\dashrightarrow \ \pi (3)^2[/tex]

[tex]\dashrightarrow \ 9\pi[/tex]

[tex]\dashrightarrow \ 9(3.14)[/tex]

[tex]\dashrightarrow \ 28.26 \ ft^2[/tex]

Answer:

[tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

Step-by-step explanation:

Step-1) Determine the radius of the rug:

Given diameter: 6 feet

Substitute the diameter to obtain the radius of the rug.

Step-2) Find the area of the rug by substituting the radius in the formula:

Area of circular rug  = πr²

                                  = [tex]\pi (3)^{2}[/tex]

                                  = [tex]\pi (3)(3)[/tex]

                                  = [tex]\pi(9)[/tex]

Substituting π as 3.14 (Stated in comments):

                                  = [tex](3.14)9[/tex]

                                  = [tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

The cell phone plan is an illustration of a linear inequality

Adrian gigabyte usage must be less than 2.1 to spend under $70.

The given parameters are:

Base cost = $59.50

Rate = $5 per gigabyte

Let the number of gigabyte be x.

So, the total amount is:

Total = 59.50 + 5x

Adrian wants to spend under $70.

So, we have:

59.50 + 5x < 70

Evaluate the like terms

5x < 10.5

Divide both sides by 5

x < 2.1

Hence, the number of gigabyte must be less than 2.1

Read more about linear inequalities at:

https://brainly.com/question/371134

By using the Pythagorean Theorem, we will see that the length of the missing side is 4 units.

We need to remember the Pythagorean Theorem, the sum of the squares of the cathetus is equal to the square of the hypotenuse.

In this case, the cathetus are x and 3, and the hypotenuse is 5, then we have:

x^2 + 3^2 = 5^2

x^2 = 25 - 9 = 16

x = √16 = 4

So the length of the missing side is 4 units.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700