1. 13, 13, 10, 8, 7, 6, 4, 5, 1, 20
Mean:
Median
Mode:
Range:

Answer:

$4.50

Step-by-step explanation:

You would divide 6 by 4 to get 1.5 being $1.50 and then muiltpy it by 3 to get 4.50.

Answer:

[tex]5\sqrt{5}[/tex]

Step-by-step explanation:

The distance formula states that [tex]D(x_{1} ,y_{1})(x_{2},y_{2} )=\sqrt{(x_{2} } -x_{1} )^2+(y_{2}-y_{1} )^2\\[/tex]

We plug in our points, (6,0) and (-4,5), and compute.

[tex]\sqrt{(-4-6)^2+(5-0)^2} \\\sqrt{(-10)^2+5^2} \\\sqrt{100+25} \\\sqrt{125} \\5\sqrt{5}[/tex] (Make sure you see why I put parentheses around the -10 in (-10)^2. -x^2 and (-x)^2 are not the same) (Also here is why the simplification of the radical works)

[tex]\sqrt{125} =\sqrt{5^2*5} =\sqrt{5^2} *\sqrt{5} =5*\sqrt{5} =5\sqrt{5}[/tex]

The * stands for multiplication.

Answer:

Point c

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

I think its d but I'm not quite sure

Answer:

  C

Step-by-step explanation:

The table shows the sign of the function is the opposite of the sign of x, so ...

  as x → ∞, f(x) → -∞; as x → -∞, f(x) → ∞ . . . . . matches the 3rd choice

Answer:

it is C

Step-by-step explanation:

cuz i got it right

9514 1404 393

Answer:

  the power of 3 is the log, base 3, of the number

Step-by-step explanation:

The relationship between powers and logarithms is ...

  y = 3^x

  x = log₃(y) = log(y)/log(3)

__

For example, if you want 5 as a power of 3, that power will be ...

  log(5)/log(3) = 0.69897/0.47712 = 1.46497

That is, ...

  5 = 3^1.46497

Answer:

275

Step-by-step explanation:

Answer:

Subtract 15 from 142. -157

Step-by-step explanation:

Answer:-157

Step-by-step explanation:

When you are subtracting from negative numbers number get higher

Answer:

C

Step-by-step explanation:

They subtracted 4x when combining like terms, but they should have added it because it is a positive number. Had the term been -4x that would have been correct. -2x+4x should be 2x instead of -6x.

Answer:

a³ + b³

Step-by-step explanation:

Given

(a + b)(a² - ab + b²)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a² - ab + b²) + b(a² - ab + b²) ← distribute both parenthesis

= a³ - a²b + ab² + a²b - ab² + b³ ← collect like terms

= a³ + b³

Answer:

a^3 + b^3 ("the sum of two cubes")

Step-by-step explanation:

If you want to express exponentiation please use the symbol " ^ ":  a^2.

(a + b)(a^2 - ab + b^2) is a "special product" that you should learn, even though you can multiply out these two factors using the Distributive Property of Multiplication.  Remember this:  (a + b)(a^2 - ab + b^2) = a^3 + b^3, which is "the sum of two cubes."

Answer:

[tex]19x + 11.5y \geqslant 310[/tex]

19x+11.5≥310 is the  inequality that models this situation.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that Sneha works two part-time jobs

One job is at a tutoring company that pays $19 an hour,

Let x be the number of hours she works at the tutoring company

The other is pumping gas for $11.50 an hour

let y be the number of hours she works pumping gas.

Sneha wants to earn at least $310 a week

We have to find the inequality that models this situation.

19x+11.5≥310

Hence, 19x+11.5≥310 is the  inequality that models this situation.

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Answer:

x = 4; 15 - x > 11

Step-by-step explanation:

Step 1: set up equation

15 - x = 11

- x = 11 - 15

- x = - 4

x = - 4 ÷ - 1

x = 4

For inequality:

15 - x > 11

Answer:

n = -5

I think the answer is -5, because:

The last number in the operation has a negative sign.

This can be a reason that it is-5.

Hope it helps!

Answer:

x=-400

x=-95

Step-by-step explanation:

They are negative because a negative times a negative is a positive.

The answer is D

Hope this helps

Answer: D (-525)

Step-by-step explanation:

2.5 years of profit

and a beginning amout is -1312.5

re-wright as an equation-

y×2.5=1312.5

312.5 ÷ 2.5 = -525

y =-525

so the answer is D :)

Answer: D. domain; x>-2; range: y>0; Yes, it is a function

Step-by-step explanation:

Answer:

p=12

Step-by-step explanation:

DBC = 180

ABE = 180

ABC + DBA = 180

ABC = (5p -28)

DBA + (12p -4)

CBD = ABC + DBA = 180

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

180 = (5p - 28) + (12p + 4)

180 = 17p - 24

204 = 17p

12 = p

p = 12

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

180 = (5(12) - 28) + (12(12) +4)

180 = 60 - 28 + 144 +4

180 = 180

Answer:

15.

[tex]x = 20[/tex]

16.

[tex]\angle BFH[/tex] = [tex]100\textdegree[/tex]

[tex]\angle CBD[/tex] = [tex]100\textdegree[/tex] (if needed)

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

17.

[tex]x = 7[/tex]

18.

[tex]\angle BFH[/tex] = [tex]68\textdegree[/tex]

Step-by-step explanation:

15. The two following angles, which is [tex]\angle CBD[/tex] and [tex]\angle BFH[/tex], are Corresponding Angles. Write an expression by using the following measurements from  [tex]\angle CBD[/tex] and  [tex]\angle BFH[/tex]. Then, solve the expression for the value of [tex]x[/tex]:

[tex]\angle CBD[/tex] = [tex]5x[/tex]

[tex]\angle BFH[/tex] = [tex]3x + 40[/tex]

[tex]5x = 3x + 40[/tex]

Solve for [tex]x[/tex]:

[tex]5x = 3x + 40[/tex]

[tex]5x - 3x = 3x - 3x + 40[/tex]

[tex]2x = 40[/tex]

[tex]\frac{2x}{2} = \frac{40}{2}[/tex]

[tex]x = 20[/tex]

16. After you have the value [tex]x[/tex] use it to find the actual measurements of both [tex]\angle CBD[/tex] and [tex]\angle BFH[/tex], by applying [tex]x[/tex] to the following expressions from both [tex]\angle CBD[/tex] and [tex]\angle BFH[/tex] and solve them:

-The value of [tex]x[/tex]:

[tex]x = 20[/tex]

-Solve for [tex]\angle CBD[/tex]:

[tex]\angle CBD[/tex] = [tex]5x[/tex]

[tex]5(20)[/tex]

[tex]100[/tex]

-The actual measurement of [tex]\angle CBD[/tex]:

[tex]\angle CBD[/tex] = [tex]100\textdegree[/tex]

-Solve for [tex]\angle BFH[/tex]:

[tex]\angle BFH = 3x + 40[/tex]

[tex]3(20) + 40[/tex]

[tex]60 + 40[/tex]

[tex]100[/tex]

-The actual measurement of [tex]\angle BFH[/tex]: (if needed)

[tex]\angle BFH[/tex] = [tex]100\textdegree[/tex]

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

17. The two following angles, which is [tex]\angle BFE[/tex] and [tex]\angle DBF[/tex] are Alternate Interior Angles .Write an expression by using the following measurements from [tex]\angle BFE[/tex] and [tex]\angle DBF[/tex]. Then, solve the expression for the value of [tex]x[/tex]:

[tex]\angle BFE[/tex] = [tex]16x[/tex]

[tex]\angle DBF[/tex] = [tex]4x + 84[/tex]

[tex]16x = 4x + 84[/tex]

-Solve for [tex]x[/tex]:

[tex]16x = 4x + 84[/tex]

[tex]16x - 4x = 4x - 4x + 84[/tex]

[tex]12x = 84[/tex]

[tex]\frac{12x}{12} = \frac{84}{12}[/tex]

[tex]x = 7[/tex]

18. After you have the value [tex]x[/tex] use it to find the actual measurement of  [tex]\angle DBF[/tex], by applying [tex]x[/tex] to the expression from [tex]\angle DBF[/tex] and solve it and find the actual measurement of an angle that is not labeled, which is [tex]\angle BFH[/tex]:

-The value of [tex]x[/tex]:

[tex]x = 7[/tex]

Solve for [tex]\angle DBF[/tex]:

[tex]\angle DBF[/tex] = [tex]4x + 84[/tex]

[tex]4(7) + 84[/tex]

[tex]28 + 84[/tex]

[tex]112[/tex]

-The actual measurement of [tex]\angle DBF[/tex]:

[tex]\angle DBF[/tex] = [tex]112\textdegree[/tex]

-Since both [tex]\angle DBF[/tex] and [tex]\angle BFH[/tex] are supplementary (two angles that equals to [tex]180\textdegree[/tex]), and you want to find the actual measurement of [tex]\angle BFH[/tex], Use the measurement of [tex]\angle DBF[/tex] and subtract it from [tex]180\textdegree[/tex]:

[tex]\angle DBF - 180\textdegree[/tex]

[tex]112\textdegree - 180\textdegree = 68\textdegree[/tex]

-The actual measurement of [tex]\angle BFH[/tex]:

[tex]\angle BFH[/tex] = [tex]68\textdegree[/tex]

The value of the ratio for the surface areas of the rectangular prisms is,

⇒ 704 : 275

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

We have to given that;

For large rectangular prism,

Lenght = 24

Width = 16

Height = 8

And, For small rectangular prism,

Lenght = 15

Width = 10

Height = 5

Hence, the surface areas of the large rectangular prisms is,

⇒ SA = 2lw + 2lh + 2hw

⇒ SA = 2 (24 x 16 + 24 x 8 + 8 x 16)

⇒ SA = 2 (384 + 192 + 128)

⇒ SA = 2 (704)

⇒ SA = 1408

the surface areas of the small rectangular prisms is,

⇒ SA = 2lw + 2lh + 2hw

⇒ SA = 2 (15 x 10 + 15 x 5 + 10 x 5)

⇒ SA = 2 (150 + 75 + 50)

⇒ SA = 2 (275)

⇒ SA = 550

Hence, The value of the ratio for the surface areas of the rectangular prisms is,

⇒ 1408 : 550

⇒ 704 : 275

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Answer:

-4 & -6, 1 & 5, 3 & 5

Step-by-step explanation:

Step-by-step explanation:

8-1,2,4,8

12-1,2,3,4,6,12

15-1,3,5,15

20-1,2,4,5,10,20

a) x= 54÷3 = 18

b) y= 7×5 = 35

c) t= (24-6)÷4 = 4.5

Answer:

wfs

Step-by-step explanation:

The rate of change is obviously that term that describe the change over a certain period. In this problem, we are given with the condition that LaToya is able to burn 20 calories per minute. Therefore, the rate of change is 20 calories per minute.

\

Answer:B

Step-by-step explanation:20 calories per minute

Answer:

adjacent

Step-by-step explanation:

Complementary angles add up to 90 degrees. These two do not. So they are not complementary.

Linear means they add up to 180o. (Same as supplementary). These two do not meet those conditions.

vertical angles are across from each other when two line segments or lines cross. These two do not.

The answer is adjacent. 90 <a+b<180

Answer:

y = - 4x + 2

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 )

Here m = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute (- 1, 6) into the partial equation

6 = 4 + c ⇒ c = 6 - 4 = 2

y = - 4x + 2 ← equation of line

Answer:

y = - 4x + 2

Step-by-step explanation:

Answer:

Two collinear rays are parallel to each other.

Step-by-step explanation:

Two collinear rays parallel to each other, and they are on the same plane. Thus they do not meet even when extended till infinity.

An example of collinear rays is when you draw two parallel rays on a plain paper placed on an horizontal surface.

Your drawing should look like what is attached to this answer.

Yes, two collinear rays that do not intersect along with the figure attached at he end.

To draw two collinear rays that do not intersect, you can follow these steps:

1. Start by drawing a straight line segment. This will be the common line for the collinear rays.

2. Choose a point on one end of the line segment. This will be the starting point of the first ray.

3. Draw a line extending from the chosen point, in the same direction as the line segment, but do not let it intersect the line segment.

4. Choose another point on the other end of the line segment. This will be the starting point of the second ray.

5. Draw a line extending from the second point, also in the same direction as the line segment, but make sure it does not intersect the line segment or the first ray.

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Answer:

ii) Over the interval [2, 4], the local minimum is at -8

iii) Over the interval [3, 5], the local minimum is at -8

iv) Over the interval [1, 4], the local maximum is at 0

Step-by-step explanation:

The graph of the function is attached below.

The local minimum is the minimum point within a specified range while the local maximum is the maximum within a specified range.

i) We can see from the graph that within [1, 3] the local minimum is at -6, hence the first option is wrong.

ii) Over the interval [2, 4], the local minimum is at -8, hence option 2 is correct

iii) Over the interval [3, 5], the local minimum is at -8, hence option 3 is correct

iv) Over the interval [1, 4], the local maximum is at 0, hence option 3 is correct

v) Over the interval [3, 5], the local maximum is at infinity, hence option 5 is not correct

Answer:

B, C, D

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

Hey there!

Distance = 12x^2+11x+2.

And Time = 3x+2 hours.

Now;

[tex]speed = \frac{distance}{time} [/tex]

Put all values.

[tex]s = \frac{12 {x}^{2} + 11x + 2}{3x + 2} [/tex]

Use mid term factorization is numerator and simplify them to get answer.

[tex]s = \frac{12 {x}^{2} + (8 + 3) x+2 }{3x + 2} [/tex]

[tex]s = \frac{12 {x}^{2} + 8x + 3x + 2 }{3x + 2} [/tex]

[tex]s = \frac{4x(3x + 2) + 1(3x + 2)}{(3x + 2)} [/tex]

[tex]s = \frac{(4x + 1)(3x + 2)}{(3x + 2)} [/tex]

[tex]s = (4x + 1)[/tex]

Therefore the speed is (4x+1)/hr.

Hope it helps..

Answer:

11855.37

Step-by-step explanation:

Round up because the number on right was 5.

Answer:

11855.37

Step-by-step explanation:

The 6 place value in 11855.3657 is hundredth so then use the 5

that behind 6 and make 6 go up an number. After that take away 5

and 7. So then your answer will be 11855.37 :)