The measures of the bases of a trapezoid are 14 and 20. What is the measure of the median of the trapezoid?

Answer:

$6239

Step-by-step explanation:

A(t) = P•e^rt

Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.

8, 000 = P•e^0.06•4

8, 000 = P•e^0.24

8, 000 = P•1.27

P = 6, 293

Answer:

Lilit- 17 candles

Sergio- 19 candles

Step-by-step explanation:

this is the most probable answer.

Step-by-step explanation:

I think the expression is

(4x² + 9x - 7) - (-7x² + 5x - 1)

and that is the same as

4x² + 9x - 7 + 7x² - 5x + 1 =

= 11x² + 4x - 6

remember that the combination of two '-' signs turns this into one '+' sign.

to subtract a negative number is indeed the same as adding a positive number with the same absolute value.

Using the binomial distribution, it is found that the expected value of his test score is of 6.8.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, the parameters are given as follows:

Hence, the expected score is given by:

E(X) = 6 x 1 + 4 x 0.2 = 6.8.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use a simple interest formula.

Simple interest formula:

→ 2000*4.6%4

You have to convert 4.6% into a decimal form.

→ 4.6%=0.046

→ I=2000*0.046*4

Solve.

Multiply the numbers from left to right.

→ 2000*0.046*4=368

I hope this helps you! Let me know if my answer is wrong or not.

Answer: x [tex]\geq[/tex] 13

Step-by-step explanation: quite simple actually, since the user must be AT LEAST 13 years old to set up the account, the equation would be X is greater than or equal to 13.

Hope this helps

Answer:

I belive it should be # 3 i might be wrong thow.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Car one rotated 90 degrees counterclockwise would be to car 4
then, it rotated 180 degrees clockwise would be car 2.

the answer is Car 2

Answer:

  see attached

Step-by-step explanation:

The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.

__

If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:

  ax +by = c

This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.

  slope: -2/5

  y-intercept: 19/5 = 3.8

  points on the line: (7, 1), (2, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

  slope: 1/2

  y-intercept: 9/2 = 4.5

  points on the line: (1, 5), (-3, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

The lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.

_____

Additional comments

The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)

To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...

__

In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...

If we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...

Either way, the shading is above the dashed line.

__

About points on the line:

The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.

Answer:

3.125 cubic unit i guess

Answer:

3.125 unit cube is the answer i hope i helped u

so hmmm from the equation we can see that is in "x terms" so the independent variable is "x", that tells us the parabola is a vertical one, leading term's coefficient is "2", that means it opens upwards like a bowl.

on a vertical parabola the axis of symmetry is the x-coordinate of its vertex, let's find the vertex of this one.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+4} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 12}{2(2)}~~~~ ,~~~~ 4-\cfrac{ (12)^2}{4(2)}\right)\implies \left( -3~~,~~4-\cfrac{144}{8} \right) \\\\\\ (-3~~,~~4-18)\implies (\stackrel{x}{-3}~~,~~-14)~\hfill \stackrel{\textit{axis of symmetry}}{x=-3}[/tex]

Answer:

65⁰ because the opposite angles of parallelogram are equal...

Answer:

x > -10

Step-by-step explanation:

5 - 3x > 35

-5           -5

-3x > 30

[tex]\frac{-3x > 30}{-3}[/tex]= x > -10

Answer:

(3x³)² = 9x⁶ = 3 × 3 × x × x × x × x × x × x

Thus, The answer is

3 × 3 × x × x × x × x × x × x

Answer:

3 * 3 * y * y * y * y * y * y

Step-by-step explanation:

(3y³)²

Multiply 3 by 3 and y six times

3 * 3 = 9

y * y * y * y * y * y

The answer should be

3 * 3 * y * y * y * y * y * y

I hope this helps!

Answer:

First find the inner angle:

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]

[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]

[tex]\hookrightarrow \sf x = 466.6533[/tex]

[tex]\hookrightarrow \sf x = 466.7[/tex]   ( rounded to nearest tenth )

====================================

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]

[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]

[tex]\hookrightarrow \sf y= 240.344[/tex]

[tex]\hookrightarrow \sf y= 240.3[/tex]

Answer:

y = 466.7 ft (nearest tenth)

Step-by-step explanation:

Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°

Using the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

Substitute given values and solve for x:

[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]

[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]

[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]

Answer: 35%

Step-by-step explanation:

Start by subtracting the original price by the sale price.

125-81.25=43.75

Now divide that amount by the original price.

[tex]\frac{43.75}{125} =0.35[/tex]

Multiply that value by 100 for the answer

0.35×100=35

35%

Answer:

Discount Percent = 35.00 %

Step-by-step explanation:

125-81.25=43.75 actual discount

43.75/125 = 0.35 actual discount / original

0.35 as percentage = 35%  

Answer:

[tex]\frac{9}{40}[/tex]

Step-by-step explanation:

LCD: 120

[tex]\frac{4}{15} +\frac{7}{8} -\frac{11}{12}[/tex]

[tex]\frac{32}{120} +\frac{105}{120} -\frac{110}{120}[/tex]

[tex]\frac{27}{120}[/tex]

[tex]\frac{9}{40}[/tex]

Hope this helps!

Answer:

9/40

hope this helps.

Answer:

A (3/16)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

The spinner is evenly divided and numbered from 1 through 8.

[tex]\sf \implies Probability\:of\:landing\:on\:any\:number= \dfrac18[/tex]

There are 4 even numbers (2, 4, 6 and 8)

[tex]\sf \implies Probability\:of\:landing\:on\:an\:even\:number= \dfrac48=\dfrac12[/tex]

There are 3 numbers less than 4 (1, 2 and 3)

[tex]\sf \implies Probability\:of\:landing\:on\:a\:number\:less\:than\:4=\dfrac38[/tex]

Therefore, the probability of landing of an even number and then on a number of less than 4 is:

[tex]\sf \implies Probability=\dfrac12 \times \dfrac38=\dfrac{3}{16}[/tex]

Answer:

350 sum

Step-by-step explanation:

Answer:

maybe its e(1/y)

Answer:

it should be e(1/y)

Answer:

0.6

Step-by-step explanation:

1.0l-0.4l=0.6L

Answer:

1) im not sure

2) im not sure

3) 72 degrees

Step-by-step explanation:

Answer:

1.   E:  20a - 18

2.  D:  42

3.  G:  17b + 3

4.  I:  105

CODE: EDGI

Step-by-step explanation:

Question 1

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

Perimeter = 2(2a + 3) + 2(8a - 12)

                 = 4a + 6 + 16a - 24

                 = 20a - 18

Question 2

When a = 3

⇒ perimeter = 20(3) -18

                     = 60 - 18

                     = 42 centimeters

Question 3

The dashes on the side lengths mean those sides are equal in length.

⇒ perimeter = (7b - 2) + (7b - 2) + (3b + 7)

                     = 17b + 3

Question 4

When b = 6

⇒ perimeter = 17(6) + 3

                     = 102 + 3

                     = 105 meters

Answer:

i dont know what youre trying to answer but if your trying to answer how much money can you get if you get all of the marbles you get $9

just blue- $1.50

just orange- $1.50

just black- $3

just green- $3

red=$0

Answer:

62.83

nearest tenth 62.8

Answer:

15 points

Step-by-step explanation:

12 divied by .25 =3

so there for it would be 15 points

Answer:

The answer is 15 points. Have a great day:)

Answer:

A

Step-by-step explanation

math

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Circles,

so we get as,

centre as ==> ( -g, -f) ==> (2,-1)

Answer:

95 m

Step-by-step explanation:

you can split the shape into three pieces so it is 4x5, 4x5, and 11x5. Add the products for the area which is 95 m