Which statements are true? Check all that apply.
The opposite of 15 is -15.
0 The opposite of 24 is 42.
-152 and -251 are opposites.
0 Opposite integers have different numbers but the same sign.
O A number is always the same distance from 0 on a number line as its opposite.

Answer:

2779.2

Step-by-step explanation:

Answer:

Remember that a triangle rectangle of length L and width W has an area:

A = W*L

In our rectangle, we have two sides along the x and y axes.

So one of the vertices of our triangle rectangle is the point (0, 0)

And the other vertex, is along the line:

y = -4x + 20

So, if the opposite vertex is at the point:

(x₁, y₁)

We can define the length as the difference between the x-values of each vertex.

L = (x₁ - 0) = x₁

And the width, similarly, as:

W = (y₁ - 0) = y₁

Such that the point (x₁, y₁) is a solution for the equation y = -4x + 20, then we have:

y₁ = -4x₁ + 20

Then we can rewrite the width as:

W = -4x₁ + 20

Now, we can write the area of our rectangle as:

A = (x₁)*(-4x₁ + 20)

A = -4*x₁^2 + 20*x₁

Now we want to maximize the area, notice that the area is given by a quadratic equation with a negative leading coefficient.

Thus, the maximum will be at the vertex of that quadratic equation.

Remember that for a general quadratic equation:

y = a*x^2 + b*x + c

The x-value of the vertex is:

x = -b/(2*a)

so, in our case, the x-value of the vertex will be:

x₁ = -20/(-4*2) = 20/8 = 5/2

Now we can evaluate this in our area equation:

A = -4*(5/2)^2 + 20*(5/2)  = 49.36

This is the maximum area of the rectangle.

Answer:

32 paperback books

Step-by-step explanation:

Given that :

Width of hardcover books = 1 1/2 inches

Width of paperback books = 3/4 inches

Number of hardcover books already on shelf = 8

Total width of shelf = 3 feets

1 foot = 12 inches

Hence, total shelf width in inches = (12 * 3) = 36 inches

Total width of hardcover books = (8 * 1 1/2) = 12 inches

Total shelf width left = (36 - 12) inches = 24 inches

Maximum number of paperback books :

Total shelf width left / paperback width

24 inches / (3/4)inches = 32 paperback books

Answer:

x = 25

Step-by-step explanation:

When you combine both angles, you can get a supplementary angle which means that when they are both added, it should add up to be 180 degrees. With that being said, we can create an equation and solve for x.

5x - 5 + 2x + 10 = 180

~Combine like terms

7x + 5 = 180

~Subtract 5 to both sides

7x = 175

~Divide 7 to both sides

x = 25

Best of Luck!

Answer: x = 25

Step-by-Step Explanation:

We are given a line, hence it is a straight angle being 180°

Therefore,

=> 5x - 5 + 2x + 10 = 180

= 5x - 5 + 2x = 180 - 10 = 170

= 5x + 2x = 170 + 5 = 175

= 7x = 175

=> x = 175/7 = 25

Therefore, x = 25

Additionally, finding the values of each angle :-

=> 5x - 5

= 5(25) - 5

= 125 - 5

=> 120°

=> 2x + 10

= 2(25) + 10

= 50 + 10

=> 60°

Therefore, one angle is 120° and the other is 60°

Step-by-step explanation:

answer is d because in d it is not given a fixed value so d is the answer

Answer: B and D

Step-by-step explanation:

I'm gonna say be because "The highest temperature over three days." has a variable of days. Also D because how much the car weighs can be changed.

The length of a track cant really be changed and 5 feet tall is given.

Answer:

27

Step-by-step explanation:

Hi there!

We are given this set of data:

22, 15, 31, 40, 27

And we want to find the average (or the mean) of the set

To find the mean, we add up all of the values of the data set and then divide it by how many pieces of data we have

So first, add 22, 15, 31, 40 and 27 together

22+15+31+40+27=135

We have 5 pieces of data, so divide 135 by 5

135/5=27

The mean is 27

Hope this helps!

[tex]\boxed{\large{\mathbf{\blue{ANSWER~:) }}}}[/tex]

we know that,

[tex]\boxed{\sf{mean=\dfrac{sum ~of~ data}{no~ of~ data } }}[/tex]

According to the question,

Therefore,

the average (mean) of the given set of data.(22,15,31,40,27) is 27.

Answer:

16

Step-by-step explanation:

8 questions

2 answers on each question

8*2=16

Answer:

Both cabins do not have the same ratio of swimmers to total kids.

Step-by-step explanation:

The ratio of swimmers to total kids in the yellow cabin is:

4 : 10

The ratio of swimmers to total kids in the blue cabin is:

5 : 15

4 : 10 and 5 : 15 are not equivalent ratios because:

LCM of 10 and 15 is 30

Multiply each term in a ratio by a number so that the second term is 30:

4 x 3 = 12

10 x 3 = 30

4 : 10 = 12 : 30

5 x 2 = 10

15 x 2 = 30

5 : 15 = 10 : 30

12 : 30 and 10 : 30 are NOT the same ratios.

Hope this helps!

Answer:

Actually the answer is "A"

this is a very strange way to present a problem...

this issue her is that [tex](x^{a}) ^{b} = x^{a*b}[/tex]

so you need 1/3 * 3 in the answer... none of them have 1/3 * 3

BUT !!!!! 1/3 + 1/3 + 1/3  is the same as  1/3 * 3 So "A" is the solution

Step-by-step explanation:

you didn't tell wich program to use and did not include any pictures.

anyways, I graphed the function with desmos (free to use as app and on website)

so that u can see what the graph should look like.

variance based on the zoom is okay of course.

Answer:

a. the x intercept (9,0)

Answer:

OA⊥OC

∴∠AOB+BOC= 90°

5x+8+6n-6=90

11x+2=90

x=90-2/11

x=88/11

x=8

∠BOC=6x-6

=6(8)-6

=48-6

∠BOC=42°

------------------------------

Hope it helps...

Have a great day!!

Answer:

[tex]<BOC = 42[/tex]

Step-by-step explanation:

In this problem, it is given that lines (AO) and (OC) are perpendicular. This means that when the lines intersect, the four angles formed each have a measure of (90) degrees. As per the given diagram, angles (<AOR) and (<ROC) add up to make (<AOC). Thus, one can form the following equation and solve for (x).

[tex](<AOR) + (<ROC) = (<AOC)[/tex]

Substitute,

[tex](6x-6)+(5x+8)=90[/tex]

Simplify,

[tex]11x+2=90[/tex]

Inverse operations,

[tex]11x+2=90[/tex]

[tex]11x=88\\\\x=8[/tex]

Substitute this into the equation for the measure of angle (<BOC) to find the numerical angle measure:

[tex]<BOC = 6x-6\\x = 8\\\\= 6(8)-6\\\\=48-6\\\\=42[/tex]

Answer:

A. Point F

Step-by-step explanation:

Quadrant I is the top right, Quadrant II is the top left, Quadrant III is the bottom left, and Quadrant IIII is the bottom right. SO basically, the order of quadrants is counterclockwise.

If we look at the bottom left (Quadrant III), we see there is only one point there; point F.

Hope this helps!

If there is something wrong, please let me know.

Answer:

a=1/10, b=17/6

Step-by-step explanation:

IF you mean the points (9,a), (b,3) lie on the line y=2/(3x-7),

then a=2/(3*9-7)=1/10;

3=2/(3b-7)

b=17/6

Answer:

E) 125 boxes

F) 800 candy bars

Step-by-step explanation:

E)

3,125/1.25 = 2500

2500/20 = 125

F)

1000/1.25 = 800

Answer:

The answer is 3x=50-10y

Answer:

EH = HF by the perpendicular bisector theorem

equation:

3x=x+4

or, 3x-x=4

or, 2x=4

or, x=2

so, HE = 6

Answered by GAUTHMATH

Step-by-step explanation:

9x²+bx+ 100

(3x)²+ bx + 10²

(3x)² + 10² + bx

(3x)² + 10² + bx

Answer:

hloa

Step-b omcetaso

Answer:

$1.27

$9030.56

$2,210.34

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/n)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

1. 1( 1 + 0.24 /12)^12 = $1.27

2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56

the formula for calculating future value when there is continuous compounding is : A x e^r x N

A= amount e = 2.7182818 N = number of years r = interest rate

3. 1000 x e^0.1 x 2 = $2,210.34

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Note that x is opposite to the given angle and we are also given the hypotenuse.

Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:

[tex]\displaystyle \sin \theta =\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

The opposite side is x, the hypotenuse is 15, and the angle is 53. Substitute:

[tex]\displaystyle \sin 53^\circ = \frac{x}{15}[/tex]

Solve for x:

[tex]x=15\sin 53^\circ[/tex]

Use a calculator (make sure you're in Degrees Mode!). Hence:

[tex]x=11.9795...\approx 12[/tex]

Our answer is C.

Answer:

C. 12

Step-by-step explanation:

Pythagoras Theorem

Answer:

12500

Step-by-step explanation:

11830 - 10464 = 1366 (difference 1995 to 96)

10464 - 8958 = 1506 (94 to 95)

8958 - 8135 = 823

8135 - 7537 = 598

7537 - 6642 = 895

6642 - 5942 = 700

5942 - 3579 = 2363 (5 years)

so, we have the annual differences over 11 years.

the expectation for the following year would be based on the mean value of growth rate and not on the mean value of the absolute numbers, as we know the number of transactions for 1997 will be higher than for 1996.

so, the mean value of growth over these 11 years is 750.

so, based on this we would estimate for 1997

11830 + 750 = 12580 (12500 being the closest answer option).

but if the business environment has changed over the most recent years, we should not bring in earlier years into that calculation (or at least not with the same weight).

we could argue that the last 2 years had a totally different behavior than the years before.

so, just creating a mean value of the last 2 years' changes would be

(1366 + 1506) / 2 = 2872 / 2 = 1436.

now, or prediction would be

11830 + 1436 = 13266, which would be closer to the 13500 answer option.

Answer:

2/9

Step-by-step explanation:

Answer:

21x^2-2x+1

Step-by-step explanation:

The area of shaded region= The area of the floor - area of the identical islands

The area of shaded region=(5x+1)^2-2*(2x)(x+3)=25x^2+1+10x-4x^2-12x=21x^2-2x+1

Answer:

4

Step-by-step explanation:

d = -12

a2 = 100

We know the formula for the terms of an arithmetic sequence is

an = a1+d(n-1)

We can find the first term

100 = a1-12(2-1)

100 = a1-12(1)

Add 12 to each side

112 = a1

The first term is 112

Using the formula with n=10

a10 = 112-12(10-1)

a10 = 112 -12(9)

     = 112-108

     = 4

Answer:

sat building method

Listing method

Answer:

 y = 2x²-11x +5    

Step-by-step explanation:

We know that a polynomial of degree n with roots (x-intercepts) {x₁, x₂, ..., xₙ} and a leading coefficient A can be written as:

p(x) = A×(x - x₁)×...×(x - x₂)

Here we will find:

P(x) = (x - 1/2)×(x - 5)

Let's see how we found that:

Here we know that is a parabola, so n = 2, and the x-intercepts are:

x₁ = 1/2

x₂ = 5

And we do not know the leading coefficient, so we can assume  A = 1.

Then the polynomial is just:

P(x) = (x - 1/2)×(x - 5)

The graph of this polynomial can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/24371640