What is the approximate volume of the earth? How much larger is Earth than Mars?

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

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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.

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

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°

Answer:

1) 60

2) 80

3) 90

step by step explanation

so sorry

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:

[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]

~

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:

-7

Step-by-step explanation:

In the equation of ax² +bx +c= 0, the discriminant (denoted by D) is [tex]\textcolor{steelblue}{b^{2} - 4ac }[/tex].

-2x² -x -1= 0

Let's identify the values of a, b and c in this equation! It is important to account for the negative sign too.

a= -2, b= -1, c= -1

D

= (-1)² -4(-2)(-1)

= 1 -4(2)

= 1 -8

= -7

Implications of discriminant

Answer:

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

Hope this helps :)

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:

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!

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:

see below

Step-by-step explanation:

5 + y x 3 = 2y - 1

35

40

48

50

62

i did the test

Answer:

193.2 cm²

Step-by-step explanation:

Area = 5.2 x 6 + 3 x 6 x 9

= 31.2 + 162

= 193.2 cm²

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]

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:

a,c,d

Step-by-step explanation:

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.

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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:

(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:

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:

x = 4.5y

Step-by-step explanation:

x = pudding

y = teaspoons

y = 1 so 1 x 4.5 will get you 4.5 teaspoons of sugar

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 :

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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...