Find the surface area of the prism (no unit)

Answer:     Neptune is 34.64 times farther than Earth from the sun.

Step-by-step explanation:

Given: Distance from Earth to the sun is [tex]1.5\times10^8[/tex]  miles.

Distance from Earth to the sun is [tex]5.196\times10^9[/tex]  miles.

Number of times farther is it from Neptune to the sun= [tex]\dfrac{\text{distance from Neptune to the sun}}{\text{distance from Earth to the sun}}[/tex]

[tex]=\dfrac{5.196\times10^9}{1.5\times10^8}\\\\=\dfrac{5.196}{1.5}\times10^{9-8}\\\\= 3.464\times10=34.64[/tex]

Hence, Neptune is 34.64 times farther than Earth from the sun.

The comparison of the distances between Earth and Sun, and Neptune and Sun is needed.

Neptune is [tex]34.64[/tex] times the distance between Earth and Sun.

[tex]d_{es}[/tex] = Distance between Earth and Sun = [tex]1.5\times 10^8\ \text{miles}[/tex]

[tex]d_{ns}[/tex] = Distance between Neptune and Sun = [tex]5.196\times 10^{9}\ \text{miles}[/tex]

Dividing the given distances

[tex]\dfrac{d_{ns}}{d_{es}}=\dfrac{5.196\times 10^{9}}{1.5\times 10^8}\\\Rightarrow d_{ns}=34.64d_{es}[/tex]

Learn more about ratios:

brainly.com/question/2065148

Answer: cool

Step-by-step explanation:

Answer:

i = - 5

Step-by-step explanation:

Given

2i - 3 = 2(6 - i) + 7i ← distribute and simplify right side

2i - 3 = 12 - 2i + 7i

2i - 3 = 12 + 5i ( subtract 5i from both sides )

- 3i - 3 = 12 ( add 3 to both sides )

- 3i = 15 ( divide both sides by - 3 )

i = - 5

Step-by-step explanation:

35

Answer:

[tex]y = \frac{3}{2} x + 13[/tex]

Step-by-step explanation:

1) Use point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. So, substitute [tex]\frac{3}{2}[/tex] for m, -4 for [tex]x_1[/tex], and 7 for [tex]y_1[/tex]. Then, simplify and isolate y on the left side like so:

[tex]y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13[/tex]

Answer:

13.5

Step-by-step explanation:

The two triangles are similar

According to the question

The equation is

⅔=11/x+3

2x+6=33

2x=27

x=13.5

Answer:

1. 4x - 5

2. -2x + 6

3. x + 3

4. 4/3x - 5

Step-by-step explanation:

I used a calculator and my math skills :)

Answer:

the remainder is 3

Step-by-step explanation:

answer: 5b

the exponents basically cancel themselves out. :)

Answer:

Step-by-step explanation: I dont know actually

Answer:

How long is the snail, what is its terminal velocity, what kind of snail, and also wheres the the graph or picture?

Step-by-step explanation:

Answer:

Total amount charged by Happy Paws = 22 + 4.50h

Total amount charged by Woof Watchers =  11 + 5.75h

3.2 hours

Step-by-step explanation:

Total amount charged by Happy Paws = 22 + 4.50h

Total amount charged by Woof Watchers =  11 + 5.75h

22 + 4.50h =  11 + 5.75h

Collect like terms

22 + 11 = 4.5h + 5.75h

33 = 10.25h

Solve for h

33/10.25 = h

h = 3.22

Answer:

y=-2.5x-8.5

Step-by-step explanation:

Answer:

Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Step-by-step explanation:

Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.

The weight of 1 bag of dog food = [tex]37\frac{1}{2}\text{ pounds }[/tex]

The weight of 40 bags of dog food = [tex]40 \times 37\frac{1}{2} =1500 \text{ pounds }[/tex]

Each pallet weighs = 1500 pounds

2 pallets weighs = 1500×2=3000 pounds.

We know that 2000 pounds = 1 ton

[tex]\frac{3000}{2000} \text{ pounds}=1.5 \text{ tons}[/tex]

Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Answer:

9.8

Step-by-step explanation:

Answer:

Length

√45 units

Distance

√13 units

Step-by-step explanation:

Here, we want to calculate the length and the distance between the points

To calculate the length, we need the coordinates of the points

These are;

(1,-2) and (4,4)

the length can be calculated using the formula for the distance between two points

Mathematically, that will be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(1-4)^2 + (-4-2)^2

D = √(9 + 36)

D = √45 units

We use the same formula to get the distance between the two given points

that will be;

D = √(5-3)^2 + (-2-1)^2

D = √(2)^2 + (3)^2

D = √13 units

9514 1404 393

Answer:

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

  [tex]\left(\dfrac{a^3b^4}{a^2b}\right)^6= (a^{3-2}b^{4-1})^6 =a^{1\cdot6}b^{3\cdot6}=\boxed{a^6b^{18}}[/tex]

Comparing to the given form, we see x=6, y=18.

Answer: 1. Add 2. Multiple both sides 3. 15

Step-by-step explanation: hope this helps

Answer: 2 = − 7

4

+ 1

4

x

1.

✔ Add

Start Fraction 7 over 4 End Fraction to both sides.

2.

✔ Multiply both sides

by 4.

The solution is x =

✔ 15

.

Step-by-step explanation: i just did it on ed

Answer:

it is B and E

Step-by-step explanation:

The table shows a proportional relationship between the milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of red paint and milliliters of yellow paint to make a certain shade of orange.

Paint mixtures

Red (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis Yellow (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis

10.510.510, point, 5 282828

7.57.57, point, 5 202020

999 242424

? ?

A row of values is missing in the table.

Which of the following mixtures of paint could be used as the missing values in the table?

Choose 2 answers:

Choose 2 answers:

(Choice A)

A

1.25\,\text{mL}1.25mL1, point, 25, start text, m, L, end text red and 5\,\text{mL}5mL5, start text, m, L, end text yellow

(Choice B)

B

1.5\,\text{mL}1.5mL1, point, 5, start text, m, L, end text red and 4\,\text{mL}4mL4, start text, m, L, end text yellow

(Choice C)

C

8\,\text{mL}8mL8, start text, m, L, end text red and 3\,\text{mL}3mL3, start text, m, L, end text yellow

(Choice D)

D

7\,\text{mL}7mL7, start text, m, L, end text red and 16\,\text{mL}16mL16, start text, m, L, end text yellow

(Choice E)

E

4.5\,\text{mL}4.5mL4, point, 5, start text, m, L, end text red and 12\,\text{mL}12mL12, start text, m, L, end text yellow

Answer: 5/8 miles

Step-by-step explanation:

1. Add the distance from home to school, and from school to post office (7/8+5/6 = 41/24)

2. Figure out how many miles the trip was in total, given that she can travel a mile in 18 minutes and the trip was 42 minutes, by dividing 42/18, which equals [tex]2\frac{1}{3}[/tex]. The trip was [tex]2\frac{1}{3}[/tex] miles long.

3. Now, given that she has already traveled 41/24 miles from her home to the post office, subtract 41/24 from [tex]2\frac{1}{3}[/tex]. This equals 5/8, meaning that she traveled 5/8 miles from Post office to her friend's home.

Answer:

j

Step-by-step explanation:

Answer:

the slope will be 5/6 and the y- intercept is going to be (0,-5)

Step-by-step explanation:

use the slope-intercept form y=mx+b to find the slope (M) and the y-intercept (b)

Answer:

4+14= 18 this is the answer

Step-by-step explanation:

2(7)=14+4=18

you multiply the 2 and 7 and then add the 4

Answer:

18

Step-by-step explanation:

what this wants you do do is use PEMDAS. the number in parentheses always means to multiply. first youre gonna multiply 2 by 7 which gives you fourteen. then add 4 to 14 which gives you 18.

hope this helped! <3

Answer:

The required number is 7

Step-by-step explanation:

Let a number = x

We are given the condition: five more than three times a number is 26

We need to find the number.

Writing the condition in mathematical form:

five more than three times a number is 26: [tex]3x+5=26[/tex]

Now, solving this equation we can find x, the number

[tex]3x+5=26\\[/tex]

Subtract 5 from both sides

[tex]3x+5-5=26-5\\3x=21[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{21}{3}\\x=7[/tex]

So, we get: x = 7

The required number is 7