Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Using the properties of integer exponents, match each expression with its equivalent expression.

Solution:

Step-1: Find the data.

Data obtained (Smallest to biggest):

Step-2: Count the number of digits.

Step-3: Use the formula "Total digits/2".

The 9th digit in the data is the median.

Step-4: Revise the data.

The median value of the line plot is 110.

Answer:

[tex]110 = \text{median}[/tex]

Step-by-step explanation:

We can see that there are:

[tex]\rightarrow \ \ \text{1 "x" on 70} \ \ \ \rightarrow \ \ 70}[/tex]

[tex]\rightarrow \ \ \text{1 "x" on 80} \ \ \ \rightarrow \ \ 80}[/tex]

[tex]\rightarrow \ \ \text{2 "x" on 90} \ \ \ \rightarrow \ \ 90,\ 90}[/tex]

[tex]\rightarrow \ \ \text{3 "x" on 100} \ \ \rightarrow \ \ 100,\ 100, \ 100}[/tex]

[tex]\rightarrow \ \ \text{4 "x" on 110} \ \ \rightarrow \ \ 110,\ 110, \ 110, \ 110}[/tex]

[tex]\rightarrow \ \ \text{4 "x" on 120} \ \ \rightarrow \ \ 120,\ 120, \ 120, \ 120}[/tex]

[tex]\rightarrow \ \ \text{2 "x" on 130} \ \ \rightarrow \ \ 130,\ 130[/tex]

[tex]\rightarrow \ \ \text{1 "x" on 140} \ \ \rightarrow \ \ 140[/tex]

Now, let's put the values in descending form (Greatest --- Smallest). Start from the bottom and go to the top.

[tex]\rightarrow140, 130, 130, 120, 120, 120, 120, 110, 110, 110, 110, 100, 100, 100, 90, 90, 80, 70[/tex]

To find the median of the line plot, we need to check how many numbers are in total. Then, use the correct formula to find out which digit is the median. Lastly, use the "descending" data to find the median.

[tex]\rightarrow 1 + 1 + 2 + 3 + 4 + 4 + 2 + 1[/tex]

[tex]\rightarrow 7 + 11[/tex]

[tex]\rightarrow 18 \ \text{digits}[/tex]

Since 18 is an even number, the correct formula to use is [tex]\frac{n}{2}[/tex], where n is the total digits in the line plot.

[tex]\rightarrow \dfrac{n}{2}[/tex]

[tex]\rightarrow \dfrac{18}{2} = 9^{\text{th}}[/tex]

Now, let's take a look at our "descending" data to see which is the median. Remember, the ninth digit is the median.

[tex]140, 130, 130, 120, 120, 120, 120, 110, \boxed{\bold{110}}, 110, 110, 100, 100, 100, 90, 90, 80, 70\\[/tex]

Thus, 110 is the median.

Answer:

40cm

Step-by-step explanation:

Convert mm to cm

Create equation

11cm·0.7mm·Lmm=308cm³

solve for L

7.7L=308

L=40

Answer:

P=58in.²

Step-by-step explanation:

do you really need explanation? I don't know how to explain it to you I just calculated it gradually...

Answer:

[tex]a)\ y=-\frac{1}{3}x[/tex]

Step-by-step explanation:

Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-0}{-3-0} \\\\m=\frac{1}{-3} \\\\m=-\frac{1}{3}[/tex]

[tex]y=mx+b\\y=-\frac{1}{3}x +b[/tex]

(0, 0)

[tex]y=-\frac{1}{3}x +b\\0=-\frac{1}{3}(0) +b\\0=0+b\\0=b[/tex]

[tex]y=-\frac{1}{3}x +0\\y=-\frac{1}{3}x[/tex]

Check your answer:

[tex]y=-\frac{1}{3}x \\1=-\frac{1}{3}(-3)\\1=-1[/tex]

This statement is true

Hope this helps!

Answer:

193.2 cm²

Step-by-step explanation:

Area = 5.2 x 6 + 3 x 6 x 9

= 31.2 + 162

= 193.2 cm²

Answer:

150 miles = 2.5 hours x speed2.5 hours =150 miles/speedspeed = 150 miles/2.5 hours

Hope this helps :)

24 minutes.

Let me explain.

The lawn can be any size, but for the purpose of simplicity, let's say it's 240 square meters.

Peter mows 6 square meters per minute if he mows 240 square meters in 40 minutes.

John mows 4 square metres each minute if he mows 240 square metres in 60 minutes.

They'll mow 10 square meters per minute if they work together.

As a result, mowing the entire lawn will take them 24 minutes.

(Note that the location is irrelevant as long as we know how long each man takes to complete the task separately.) The answer would be the same if the field was 1 million hectares in size.)

I hope this helps.

Answer:

$6789.00, $20,367.00, $40,734.00

Step-by-step explanation:

debt: $6,789.00

multiply by $3 which equals $20,367.00

then take the value of $20,367.00 and multiply again by 2 which equals 40,734.00

that's my step by step explanation

hope this helps.

will recommend to keep in touch with picture as name of sides are based on it!.

It may not get messy so i will divide whole answer into small parts.

Now Let's move to solution :)

[tex] \\ \\ [/tex]

[tex] \gray{ \bf \dag \frak{Part 1}}[/tex]

In this part we will just focus on Semicircle with diameter 22 ft.

Given :-

[tex] \\ [/tex]

To find:-

[tex] \\ [/tex]

So first of all let's convert diameter into radius.

we know:-

[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]

So:-

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{22}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 11}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 11}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{11}{1} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = 11[/tex]

[tex] \\ \\ [/tex]

Now let's find area of semicircle!

We know:-

[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]

[tex] \\ [/tex]

so:-

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\pi {r}^{2} }{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{22 \times {11}^{2} }{7 \times 2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\cancel{22} \times {11}^{\cancel2} }{7 \times \cancel2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{11\times {11}^{\cancel2} }{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{1331}{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf Area~of~semicircle _1= 190.14 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \gray{ \bf \dag \frak{Part 2}}[/tex]

So in this part we will find area of other semicircle.

Now as u can see BC isn't given , but AC and AB are given.

So let's find BC:-

[tex] \\ [/tex]

Now we got the diameter, so let's change it into radius.

we know:-

[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]

[tex] \\ [/tex]

so :-

[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]

[tex] \\[/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{8}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 4}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 4}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = 4[/tex]

[tex] \\ [/tex]

Now let's find area of semicircle!

We know:-

[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\pi {r}^{2} }{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{22 \times {4}^{2} }{7 \times 2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\cancel{22} \times {4}^{\cancel2} }{7 \times \cancel2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times {4}^{2} }{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times 16}{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{176}{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf Area~of~semicircle _2= 25.14 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \gray{ \bf \dag \frak{Part 3}}[/tex]

Now Finally in this part we'll add both the areas of these semicircles.

Let :-

[tex] \\ \\ [/tex]

[tex] \sf: \implies Area~of~figure=A_1+A_2 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \sf: \implies Area~of~figure=190.14+25.14 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \bf: \implies Area~of~figure=215.28 {ft}^{2} \\ [/tex]

[tex] \\ \\ [/tex]

Answer:

4188.79

Step-by-step explanation:

Formula for volume of a sphere: let V be volume and r be diameter:

V=(4/3)pi(r)^3

Pi can be written as 3.141593

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

[tex]2(x-3)+7-3x=11[/tex]

[tex]2\left(x-3\right)+7-3x-7=11-7[/tex]

[tex]2\left(x-3\right)-3x=4[/tex]

[tex]-x-6=4[/tex]

[tex]-x-6+6=4+6[/tex]

[tex]-x=10[/tex]

[tex]\cfrac{-x}{-1}=\cfrac{10}{-1}[/tex]

[tex]x=-10[/tex]

~

The situation is an exponential function of exponential growth with a factor of 1.034 and the initial amount of $5,250.

Compound interest is when both the amount invested and the interest already accrued earn an interest. This means that when there is a compound interest, the amount invested increases by a certain amount.

The equation that can be used to represent compound interest is:
FV = PV(1 + r)^n

Where

To learn more about compound interest, please check: https://brainly.com/question/26367706

Answer:

six miles total

Step-by-step explanation:

adding the 4.25s together and count how many you added till you reach the price

Mia took the taxi ride for 7 miles not including the tip and pickup fee.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, that Mia took a taxi from her house to the airport.

The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05.

∴ Her taxi charge excluding the pickup fee is,

= (31.05 - 1.30) dollars.

= 29.75 dollars.

So, the no. of miles she rides is,

= (29.75/4.25) dollars.

= 7 miles.

learn more about unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer:

(4,30)

Step-by-step explanation:

3x+y=42

y=8x-2

3x+8x-2=42

11x-2=42

+2 +2

11x=44

÷11 +11

x=4

Answer:

a,c,d

Step-by-step explanation:

Answer:

y = -1/5x + 6.4

Step-by-step explanation:

Use the point-slope formula.

y-y₁ = m(x -x₁)

so...

y-7 = -1/5(x - (-3))

y = -1/5x+ 32/5

and you need you can change 32/5 to 6.4

Hope this helps!

35

40

48

50

62

i did the test

Answer:

the correct answer is 65 degrees

Step-by-step explanation:

The angle is 65 degrees

Answer:

it is 75°

Step-by-step explanation:

so do you see the red line? it is in between 70° and 80° which means it's 75°

The function represent the quadratic function is h(x) = 3x(x – 2) – 4, the correct option is D.

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c where a, b, c, ∈ R and a ≠ 0.

The function which represnt a quadratic function is;

[tex]\rm h(x) = 3x(x - 2) - 4\\\\ h(x)=3x\times x - 3x \times 2-4\\\\ h(x)=3x^2-6x-4[/tex]

The highest degree of the function is 2 so the function is the quadraic function.

Hence, the function represent the quadratic function is h(x) = 3x(x – 2) – 4.

To know more about quadratic function click the link given below.

https://brainly.com/question/9777225

Answer:

1) 60

2) 80

3) 90

step by step explanation

so sorry

Answer:

-5+(-3)

=-5-3

=-8

Step-by-step explanation:In a problem like this you have to write -3 in parentheses.

Since the + sign is outside the parentheses here, the -3 and + sign are multiplied.

+ saha- multiplication yields -sign.

So there's a -3 coming.

Then -5-3.

Since the sign of this is the same, the two numbers are added. In both - the mark is applied to the answer because there is a mark.

Answer:

3x+12=57 x= how many days

Step-by-step explanation:

Answer:

C. 3d=45

Step-by-step explanation:

subtract 57-12= 45 n if u multiply 3x15=45 so 3(15)=45

Here, we will apply the concept of Vertically Opposite angle property and central angle property ;

So here, as b is vertically opposite to the angle whose measure is 20° . So , b will also be 20°

And, if we see the angle c, so angle vertically opposite to c will also be c, and as central angle is of 360° , so ;

[tex]{:\implies \quad \sf c+c+20^{\circ}+20^{\circ}=360^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2c+40^{\circ}=360^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2c=360^{\circ}-40^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2c=320^{\circ}}[/tex]

[tex]{:\implies \quad \sf c=\dfrac{320^{\circ}}{2}=160^{\circ}}[/tex]

Hence, we can conclude that ;

Answer:

to find the volume of a cylinder formulae is pi r² x Height

Step-by-step explanation:

because to find the volume of any object we have to multiply the area of the base and the height

now as the base of the cylinder is circle we have to fulfill the area of circle with the height of the cylinder

hence

volume

of

the

cylinder = area of circle x height

= pi r² x Height

Answer: Angle 1= 32 degrees

Angle 2=90 degrees

Angle 3=58 degrees

Angle 4=32 degrees

Answer:

see below

Step-by-step explanation:

5 + y x 3 = 2y - 1