I don’t understand this question can you also help me figure it out step by step I would greatly appreciated it

Answer:

The distance from Earth to Mars is 8×10¹¹ m.

Step-by-step explanation:

Given that,

The speed of light is 3×10⁸ m/s. The sun is approximately 230,000,000,000 m from Mars. If the sun is approximately 1.5 x 10¹¹ meters from Earth, what is the approximate distance from Earth to Mars.

The sun is approximately 2.3 × 10¹¹ m from Mars.

The sun is approximately 1.5 x 10¹¹ m from Earth.

The distance between from Earth to Mars is :

d = 2.3 × 10¹¹ m - 1.5 x 10¹¹ m

= 8×10¹¹ m

Hence, the distance from Earth to Mars is 8×10¹¹ m.

Answer:

*20 Songs and 2 Movies

*8 Songs and 6 movies

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

I hope this helps!

Step-by-step explanation: Ok so if there are 90 girls and 7 are left handed u  use this method 6/90 multiply by 100 and u get 7.77%

Answer:

4 would be $55.00 and 8 would be $75.00

Answer:

1. Express the width of the rectangle in terms of the length X.

width = 500 - X

2. Express the surface area of the rectangle in terms of X.

area = -X² + 500X

3. What value of X gives the maximum surface area?

maximum surface area results from the rectangle being a square, so 1,000 ÷ 4 = 250

X = 250 ft

4. What is the maximum surface area?

maximum surface area = X² = 250² = 62,500 ft²

Step-by-step explanation:

since the perimeter = 1,000

1,000 = 2X + 2W

500 = X + W

W = 500 - X

area = X · W = X · (500 - X) = 500X - X² or -X² + 500X

The area of a shape is the amount of space it occupies.

The length is represented as x.

Let the width be y.

So, we have:

[tex]\mathbf{Perimeter =2(x + y)}[/tex]

This gives

[tex]\mathbf{2(x + y) = 1000}[/tex]

Divide both sides by 2

[tex]\mathbf{x + y = 500}[/tex]

Make y the subject

[tex]\mathbf{y = 500 -x}[/tex]

So, the width in terms of x is 500 - x

The surface area is calculated as:

[tex]\mathbf{A = xy}[/tex]

Substitute [tex]\mathbf{y = 500 -x}[/tex]

[tex]\mathbf{A = x(500 - x)}[/tex]

So, the surface area in terms of x is x(500 - x)

Expand [tex]\mathbf{A = x(500 - x)}[/tex]

[tex]\mathbf{A = 500x - x^2}[/tex]

Differentiate

[tex]\mathbf{A' = 500- 2x}[/tex]

Equate to 0

[tex]\mathbf{500- 2x = 0}[/tex]

Rewrite as:

[tex]\mathbf{2x = 500}[/tex]

Divide both sides by 2

[tex]\mathbf{x = 250}[/tex]

So, the value of x that gives maximum surface area is 250

Substitute 250 for x in [tex]\mathbf{A = x(500 - x)}[/tex]

[tex]\mathbf{A = 250 \times (500 - 250)}[/tex]

[tex]\mathbf{A = 250 \times 250}[/tex]

[tex]\mathbf{A = 62500}[/tex]

Hence, the maximum area is 62500

Read more about areas at:

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Answer:

side 1: 10 = 15

side 2: 6 = 11

im not 100% sure this is correct

Step-by-step explanation:

13-8 = 5

so we add 5 on each side

10 + 5 = 15

6 + 5 = 11

Answer:

The given polynomial is p(x)=x  

4

−2x  

3

+3x  

2

−ax+3a−7

Given that, the polynomial p(x) when divided by (x+1) leaves remainder 19

Therefore, p(−1)=19 (By Remainder theorem)

=>(−1)  

4

−2×(−1)  

3

+3(−1)  

2

−(−1)a+3a−7=19

=>1+2+3+a+3a−7=19

=>4a−1=19

=>4a=20

=>a=5

The value of a is 5

Now,

p(x)=x  

4

−2x  

3

+3x  

2

−5x+3×5−7

       =x  

4

−2x  

3

+3x  

2

−5x+15−7

       =x  

4

−2x  

3

+3x  

2

−5x+8

Remainder when the polynomial is divided by (x+2)

              =p(−2)    (By Remainder Theorem)

              =−2  

4

−2(−2)  

3

+3(−2)  

2

−5(−2)+8

              =16+16+12+10+8

              =62

Thus, the remainder of the polynomial p(x) when divided by (x+2) is 62

Step-by-step explanation:

The remainder when P(x) is divided by (x-3) is 8

The quotient-remainder theorem says that when any integer n is divided by any positive integer d, the result is a quotient q and a nonnegative remainder r that is smaller than d.

Given here, P(x)=x⁴ - 2x³ - 3x² + 4

Now we know from the polynomial remainder theorem that the remainder on dividing by (x-a) is f(a)

Thus P(3)=8

Hence, The remainder is 8

Learn more about the remainder theorem here:

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#SPJ2

Answer:

2/5

Step-by-step explanation:

perpendicular line means the two lines' slope when multiplied together gives a answer of -1.

hence, we just need to find the slopw of the line connecting the 2 points and form an equation with -1 to get the slope the question wants.

slope of the line PQ:

(7-5)/(-3-2) = -2/5 (slope formula)

slope of the perpendicular line:

-2/5 x slope = -1

slope = (-1)/(-2.5) = 2/5

Answer:

x = 85/60 or 17/12

Step-by-step explanation:

4/5 - 3/10 = x + 11/12

=> 8/10 - 3/10 = x + 11/12

=> 5/10 = x - 11/12

=> x - 11/12 = 5/10

=> x = 5/10 + 11/12

=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5

=> x = 30 / 60 + 55/60

=> x= 85/60

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Thank You!!

Answer:

maybe -5

Step-by-step explanation:

4/5-3/10=x+11/2

1/2-11/2=x

-10=2x

x=-5

Hello!

the answer is 83/100!

Hopefully this helps ^^

Answer:

Step-by-step explanation:

Find the slope and then the equation of line.

(x₁ , y₁) = (2 , 2)   & (x₂, y₂) = (6 , 10)

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

        [tex]= \frac{10 - 2}{6 - 2}\\\\= \frac{8}{4}\\\\= 2[/tex]

m = 2

Equation of the line: y - y₁  = m(x - x₁)

              y - 2 = 2 (x - 2)

              y - 2 = 2x - 4

                   y = 2x - 4 + 2

                  y = 2x - 2  --------------(I)

(a, 8)  

Plug in x = a & y = 8 in (I)

8  = 2a - 2

8 + 2 = 2a

10   = 2a

a = 10/2

a = 5

(4 , b)

Plug in x = 4 & y = b in (I)

b = 2*4 - 2

b = 8 - 2

b = 6

Answer:

dog peas

Step-by-step explanation:

donkey peas

Answer:

b=-2(3x-xa-a)/a

Step-by-step explanation:

2x(3-a)=a(2-b)

6x-2xa=2a-ab

b=-2(3x-xa-a)/a

You can simplified to top because im a little lazy, sorry

Decompose the forces into components that are parallel or perpendicular to the plane. Then the fricitional force (magnitude f ) is only included in the net force parallel to the surface. The other two are the parallel components of the box's weight (mag. w ) and the pulling force (mag. p)

The box is moving at constant speed, so there is no acceleration and the box is in equilibrium. By Newton's second law,

∑ F = p cos(20º) - w sin(30º) - f = 0

We're given p = 75 N, and

w = m g = (25 kg) (9.80 m/s²)

so

f = (75 N) cos(20º) - (25 kg) (9.80 m/s²) sin(30º)

f ≈ -52 N

That the magnitude is negative makes me think there's a mistake in the question.

Answer:

-20i^2 + 22i - 6

Step-by-step explanation:

(3 - 5i)(-2 + 4i) = -6 + 10i + 12i - 20i^2 = -20i^2 + 22i - 6

if you want to go further,

-20i^2 + 22i - 6 = -2(10i^2 - 11i + 3)

Answer:

14+22i

Step-by-step explanation:

Edge Verified

Answer:

Down payment is when you are trying to by something that is expensive up front like a house or a car.  It is usually paid in cash or equivalent at the time of finalizing the transaction. A loan of some sort is then required to finance the remainder of the payment.

Step-by-step explanation:

The correct answer is the graph in the top right corner because it is a constant function. The bottom left graph is also considered a function but is an absolute function. So both are technically correct.

Answer:

the total Hight would be 42 meters

Step-by-step explanation:

Answer:

The answer is 3.16666667 its simple u just divide 95 by 30

Step-by-step explanation:

Answer:

3.06451613

Step-by-step explanation:

You divide 95 by 31 to get 3.06441613

Your equation for the first point will be y=x+50

Explanation...

The x is zero so we just only put x. The y is 50 so we input a 50 giving us y=x+50.

Your equation for the second point will be y=2x+100.

Explanation...

Your slope is 2 so we input that and the y intercept is 100 giving us the equation y=2x+100.

Your equation for the third point will be y=4x+150

Explanation...

Your slope is 4 so we input that. Your y intercept is 150 so we input that. It gives us the equation y=4x+150.

Answer: Children tickets cost 7.50

Adult tickets cost 12.50

Step-by-step explanation:

Let a represent adult tickets

Let c represent child tickets

On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:

6a + 5c = 112.50 ...... equation i

On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:

8a + 4c = 130 ....... equation ii

6a + 5c = 112.50 ...... equation i

8a + 4c = 130 ....... equation ii

Multiply equation i by 4

Multiply equation ii by 5

24a + 20c = 450 ........ equation iii

40a + 20c = 650 ......... equation iv

Subtract iii from iv

16a = 200

a = 200/16

a = 12.50

Adult tickets cost 12.50

From equation ii,

8a + 4c = 130

8(12.50) + 4c = 130

100 + 4c = 130

4c = 130 - 100

4c = 30

c = 30/4

c = 7.50

Children tickets cost 7.50

Using the concept of elimination, the cost of adult and children tickets are $12.5 and $7.5 respectively

Let :

Creating a system of equation thus :

6a + 5c = 112.50 - - - (1)

8a + 4c = 130 - - - - (2)

Multiply (1) by 4 and (2) by 5

24a + 20c = 450 - - - - (3)

40a + 20c = 650 - - - - (4)

Subtract

-16a = - 200

Divide both sides by - 16

a = 12.5

From (2) :

8(12.5) + 4c = 130

100 + 4c = 130

4c = 130 - 100

4c = 30

c = 7.5

Hence, the cost of adult and children tickets are $12.5 and $7.5

Learn more : https://brainly.com/question/17802216

Answer:

-2

Step-by-step explanation:

Let the no. be x

So, By question,

2(x+5)=6

x+5=3

x=-2

Answer:

2(n+5)=6

Step-by-step explanation:

twice=2*

the sum of a number and five= (n+5)

equals six-=6

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

DISTRIBUTE= 2n+10=6 (Distributive Property)

subtract 10 on both sides= 2n=-4   (subtraction Property of Equality)

divide by two on both sides= n=-2 (Division Property)

Answer:

ysME

Step-by-step explanation:

Answer: 105ft^3

Step-by-step explanation:

Answer:

[tex]105ft^{3}[/tex]

Step-by-step explanation:

V(h) = h(–h + 10)(–h + 8)

Apply the distributive property to the right side and simplify.

V(h) = h(–h + 10)(–h + 8)

V(h) = {h(-h) + h(10)}(-h+8)

V(h) = (-h²+10h)(-h+8)

V(h) = (-h²)(-h) + (-h²)(8) + (10h)(-h) + (10h)(8)

V(h) = -8h² -10h² + 80h

V(h) =  -18h² + 80h

Plug in the value of h from 1 to 9 (since 0<h<10) into the function V(h)   =  -18h² + 80h and create a table

h | V(h)

1  | 63

2 | 96

3 | 105 <------maximum volume is the highest y-value

4 | 96

5 | 75

6 | 48

7 | 21

8 | 0

9 | -9

The maximum volume for the domain 0<h<10 is 105 cubic feet.

Answer:

285.00

Step-by-step explanation:

Because you change 57 to a decimal (57.0) then you multiply.

57.0×2.3=285.00

today is my birthday wish me a happy birthday

Answer:

False

I hope this helps!

Answer:

Line A: [tex]y=1.5x+1[/tex]

Line B: [tex]y=-1/3 x[/tex]

I hope this helps and good luck!