What is the area, in square inches, of the trapezoid below

[tex]\displaystyle\ S=Vt=> V=\frac{S}{t }[/tex]        in our case, S is d(h) ; and t is t (x), then                      [tex]\displaystyle\ V=\frac{d(x)}{t(h)}=\bigg(\frac{d}{t} \bigg )(h)=\frac{6h^2-h-1}{2h-1} =\frac{2h^2-h+4h^2-1}{2h-1} =\\\\\\\\\frac{h\underline{(2h-1)}+\underline{(2h-1)}(2h+1)}{2h-1} =\frac{(3h+1)(2h-1)}{2h-1} =\boxed{3h+1}\\\\\\Answer: \boxed{V=3h+1}[/tex]                                      

Option B

Yes, because every value of x corresponds to exactly one y-value .

Answer:

Use the law of cosines:  a = 30,   b = 48, c = distance dog runs

a^2 + b^2 - 2 a b cos theta = c^2

900 + 2304 - 2650 = c^2  = 554       c = 23.5 ft

Answer:

[tex]\displaystyle c = 8[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{3}{6} = \frac{4}{c}[/tex]

Step 2: Solve for c

Answer:

c = 8

Step-by-step explanation:

[tex] \small \sf \frac{3}{6} = \frac{4}{c } \\ [/tex]

c × 3 = 6 × 4

3c = 24

[tex]\small \sf \frac{3c }{3} = \frac{ 24} {3} \\ [/tex]

[tex]\small \sf \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\ [/tex]

c = 8

Answer: $8.50

Step-by-step explanation:

The expected gain (loss) is a weighted average of the probability of the different gains (losses) and the gains or losses.

Expected gain or loss for stock JKL:

= (Probability of losing $25 * -25) + ( Probability of gaining $5 * 5) + ( Probability of gaining $45 * 45)

= (15% * -25) + (65% * 5) + (20% * 45)

= -3.75 + 3.25 + 9

= $8.50

Answer:8.50$

Step-by-step explanation:

Answer:

Step-by-step explanation:

x²-4=0

(x+2)(x-2)=0

x=-2,2

solution is x∈{-2,2}

Answer:

[tex]9p^2-16q^2[/tex]

[tex](3p)^{2} -(4p)^{2}[/tex]

[tex]\underline{x^2-y^2=\left(x+y\right)\left(x-y\right)}[/tex]

[tex]\left(3p\right)^2-\left(4q\right)^2=\left(3p+4q\right)\left(3p-4q\right)[/tex]

[tex]=\left(3p+4q\right)\left(3p-4q\right)[/tex]

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

hope it helps....

have a great day!!

Answer:

"85.7%" is the right answer.

Step-by-step explanation:

According to the question,

The total capacity of water tank will be:

⇒ [tex]v_1=A\times 14[/tex]

The total volume of water will be:

⇒ [tex]v_2=A\times 12[/tex]

Now,

The percentage of total capacity will be:

= [tex]\frac{100\times v_2}{v_1}[/tex]

= [tex]\frac{v_2}{v_1}\times 100[/tex]

By putting the values, we get

= [tex]\frac{A\times 12}{A\times 14}\times 100[/tex]

= [tex]85.7[/tex]%

Answer:

a = 1000, p = 10

Step-by-step explanation:

Given

y = - 3lg x + lg a

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

From the graph

(a)

c = 3 , then

lg a = 3 , that is

a = 10³ = 1000

(b)

Replace x by p and y = 0 in the equation

0 = - 3lg p + 3 ( subtract 3 from both sides )

- 3 = - 3lg p ( divide both sides by - 3 )

1 = lg p

p = 10 [ [tex]log_{10}[/tex] 10 = 1 ]

Answer:

143

Step-by-step explanation:

A = [tex]\frac{Base1 + Base2}{2}[/tex] x h

A = [tex]\frac{8 + 18}{2}[/tex] x 11

A = [tex]\frac{26}{2}[/tex] x 11

A = 13 x 11

A = 143

Answer:

none of the multiple choice are right, it's 143

Step-by-step explanation:

use trapezoid formula

a+b

------- h

2

26

----- h

2

13×11= 143

The square root of 256 = X^2

X ^2 = X x X

A) 16 x 16 = 256

The answer is a) 16

Answer:

A. ) 16

Step-by-step explanation:

[tex] \small \sf \: \sqrt{256} [/tex]

Write 256 in the exponential form with the base of 16

[tex] \small \sf \: \sqrt{16 {}^{2} } [/tex]

Reduce the index of the radical and exponent with 2

16

Answer:

y = - 0.5x

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = [tex]\frac{-1-2}{2-(-4)}[/tex] = [tex]\frac{-3}{2+4}[/tex] = [tex]\frac{-3}{6}[/tex] = - 0.5

The line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - 0.5x + 0 . that is

y = - 0.5x

Answer:

[tex]t = 9[/tex]

Step-by-step explanation:

[tex]11t - 6t = 45[/tex]

[tex]5t = 45[/tex]

[tex]t = 9[/tex]

Hey there!

[tex]\large\textsf{11t - 6t = 45}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{(11t - 6t) = \bf 5t}[/tex]

[tex]\large\textsf{NEW EQUATION: 5t = 45}[/tex]

[tex]\huge\textsf{DIVIDE 5 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{5t}{5}=\dfrac{45}{5}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because that helps solve for the t-value}[/tex]

[tex]\mathsf{\bold{t} = \dfrac{45}{5}}[/tex]

[tex]\huge\textsf{SIMPLIFY \& YOU HAVE YOUR ANSWER}[/tex]

[tex]\mathsf{\dfrac{45}{5}=\bf 9}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: t = \bf 9}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:Vertex at (3, -2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cube with side 2 has volume:

Cube with side 6 has volume:

Number of cubes:

Answer:

22.5÷5= 4.5

4.5×8= 36

Step-by-step explanation:

22.5÷5=4.5

4.5×8=36

Answer:

36.21024  km are in 22.5 miles you can figure this out because you multiply the length value by 1.609

Answer:

None of both

Step-by-step explanation:

It say y = lxl

so it mean if y = 3 so x = 3 or -3

Answer:

[tex]y=5x-12[/tex]

Step-by-step explanation:

This is in slope-intercept form, [tex]y=mx+b[/tex] where [tex]m[/tex] stands for the slope and [tex]b[/tex] stands for the y-intercept.

Hope this is helpful.

Step-by-step explanation:

equation of the line is given by the equation

y=mx+c

in this question you are given the slope (m) as 5 and the y intercept (c) as -12

therefore the equation will be

y=5x+(-12)

y=5x-12

Answer: Personally I would do option "B" 2 1/3 because it sounds right.

To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.

Answer: 1st one and last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first one: The median is 58.

The second one: The maximum value is 58.

The third one: The upper quartile is 58.

The last one: The minimum value is 58.

Answer:

14 students walk

Step-by-step explanation:

40 total

22 girls

18 boys - 7 boys who cycle = 11 boys - 6 who take the bus. That leaves 5 boys who walk.

9 girls walk

5 + 9 = 14 total.

Answer: John Graunt

Step-by-step explanation:

John Graunt is referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data.

He's regarded as the founder of demography which is the statistical study of the population of human beings.

We have l = 20 * 20 * 20 = 8000 cm3

One cube will have l = 5 * 5 * 5 = 125 cm3

-> The maximum number of cubes that need to use to fill the container with water is 8000 / 125 = 64

Answer:

she can buy 0 to 12 bags but no more

Step-by-step explanation:

Answer:

option e

Step-by-step explanation:

It should be arranged in table form

Row ------> Classes

Column  -----> Courses

                     Sophomores           Juniors          Seniors

Biology                 110                        60                 20

Chemistry              50                        140               85

Physics                    17                         70                107