What can readers learn from ""A Flight Through the Sky""?

Given the function

[tex]y=\dfrac{3}{5}x+2[/tex]

and its domain [tex]\{-10,0,5\}[/tex], its range is [tex]\{-4,2,5\}[/tex]

The domain of a function is the set of all possible values that we can input to the function.

The range of a function is the set of all possible values that a function can output.

For the function

[tex]y=\dfrac{3}{5}x+2[/tex]

if the domain is the set [tex]\{-10,0,5\}[/tex], we can get the range by substituting each value in the domain into the function. The resulting set of values gives the range of the function.

The range will then be

[tex]\left\{\dfrac{3}{5}(-10)+2, \dfrac{3}{5}(0)+2,\dfrac{3}{5}(5)+2\right\}\\\\=\left\{3(-2)+2, 3(0)+2, 3(1)+2\right\}\\\\=\left\{-4, 2, 5\right\}\\\\[/tex]

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Answer:

24x^5

Step-by-step explanation:

3 x 8 = 24

x multiplied by x^4 = x^5

(the exponents add to each other when multiplied)

Answer:

x + 27

 ——————

 x + 3

Step-by-step explanation:

Answer:

  6 cm by 14 cm

Step-by-step explanation:

The perimeter of the joined figure will be the sum of the perimeters of rectangles A and B, less the lengths of the sides that are joined. The two joined sides have a total length of ...

  (40 cm) +(40 cm) -(68 cm) = 12 cm

Then the length of the joined sides is 6 cm. The length of the other side of the rectangle is the difference between half the perimeter and this, or ...

  (40 cm)/2 -6 cm = 14 cm

The length and width of rectangles A and B are 14 cm and 6 cm. When put together, they are joined on the 6 cm side.

Rita will earn $897 for working 52 hours.

Word problems in mathematics are mathematical operations that are applied to solve real life cases.

From the information given:

If Rita worked for 22 hours, she earns $379.50

Now, if Rita worked for 52 hours, the amount Rita will earn can be expressed by using the relation:

[tex]\mathbf{= \dfrac{52 \ hours \times \$379.50}{22 \ hours} }[/tex]

= $897

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Answer:

66 miles per hour

Step-by-step explanation:

average speed = distance / time

distance : 220 miles

time : 3 hours 20 minutes or 3.33 hours

220 miles / 3.33 hours = 66 miles per hour

Answer:

6 hours.

Step-by-step explanation:

deal: 135-(60+12.5h)=y

let h= # of hrs

135-60=75.

75/12.5=6 hours.

Answer:

4x3x2x1=25

Step-by-step explanation:

hope this helps :)

Answer:

(-1, 2.5) is correct

Step-by-step explanation:

Given

Let A(1, 1)

Let B(1, 4)

Let C(-3, 4)

Let coordinates of the circumcenter is (x, y)

Using distance formula  put the y value in this equation

So the coordinates of the circumcenter is (1, 2.5)

Step-by-step explanation:

Sorry it's so long.

Answer:

$48.6

Step-by-step explanation:

We have to use Unitary Method, means, we'll first have to find cost of one unit.

Hope it helps :)

Answer:

letter A po

Step-by-step explanation:

thanks for brain less

Answer:

4%

Step-by-step explanation:

Given

Formula

Solving.

Change 0.04 to percent

Answer:

Step-by-step explanation:

We simply multiply what there is to multiply:

10(1+a)^2 = 10a^2 + 20a + 10

Answer:

Perpendicular bisector

Step-by-step explanation:

Answer:

$6.75

Step-by-step explanation:

Divide 33.75 by 5, they are $6.75 each

Answer:

your answer is the last option

Step-by-step explanation:

There is no way to prove what the length for line WU is. You can find the side lengths for VW and VU but not WU. Therefore the last option is the correct answer

Answer:

Equation in slope intercept form: y = -2x -1

Step-by-step explanation:

First you must convert this equation from standard form to slope intercept form (y=mx+b).

Subtract 6x on both sides to get 3y = -6x - 3. Then divide by 3 on both sides to get y = -2x - 1.

Now to graph:

First we will plot the y-intercept, which will be (0,-1). The point will be on the y-axis, since that's the point in which the line will cross.

Next we will go down 2 units and over to the right 1 unit, until we get to the next point.

(Picture is attached above for your convenience⤴⤴⤴)

Hope this helps you :)

Answer:

table k

Step-by-step explanation:

4:3 ratio

Answer: 325 dollars

Step-by-step explanation:

In order to find out a percentage of somethin, you can simply multiply and divide

[tex]500*65=32500[/tex]

32500÷100= 325

[tex]y=1.5x+8\\\\\implies 1.5x = y-8\\\\\implies x = \dfrac{y-8}{1.5}\\\\\implies x = \dfrac{y-8}{\tfrac 32}}\\\\\implies x = \dfrac{2(y-8)}{3}\\\\\implies x = \dfrac 23 y- \dfrac{16}3[/tex]

Answer:

Option B is the correct answer, 3√2

Answer:

11 passengers per minute.

Step-by-step explanation:

To find how many passengers board the boat in a minute, you'd have to divide 88 with 8.

88/8 = 11

To check:

11 passengers per min x 8 mins = 88 passengers.

Answer:

Sum of arithmetic series is [tex]2077[/tex]

Step-by-step explanation:

We have [tex]n[/tex]th term of arithmetic sequence

[tex]a+(n-1)d[/tex]

Here

[tex]a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4[/tex]

Sum of arithmetic sequence [tex]=\frac{n}{2} (2a+(n-1)d)[/tex]

[tex]=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077[/tex]

Answer:

The sum of arithmetic series is 2077.

Step-by-step explanation:

Solution :

Here we have provided that :

We need to find :

Here's the required formula to find the sum of arithmetic series :

[tex]\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]

Substituting all the given values in the formula to find the sum of arithmetic series :

[tex]{\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}[/tex]

[tex]{\longrightarrow{\sf S = 31 \times 67}}[/tex]

[tex]{\longrightarrow{\sf S = 2077}}[/tex]

[tex]\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}[/tex]

Hence, the sum of arithmetic series is 2077.

[tex]\rule{300}{1.5}[/tex]

Answer:

she earned $324 in September

Answer:

she earned 240 dollars

Step-by-step explanation:

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Answer:

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm,...In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h

EXPLANATION

From the diagram, PQRS is a rectangle

Area of shaded part = 72sq.cm

But 72 = 3h - 4 + 6h - 4 + 4h

= 72 - 16h - 8

= 16h - 72 + 8

=16h = 80

h = 80/16

= 5cm

Answer: 17/2

Step-by-step explanation: 2/3 of 12 3/8 = 8.25

8.25 as a fraction= 17/2.

Answer:

17 divided by two

Step-by-step explanation:

Answer:

C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

Step-by-step explanation:

Iterative geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

Recursive geometric sequence:

[tex]a_n=xa_{n-1}[/tex]

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

And so the answer is C.