Simplify the product. Write your answer in standard notation 2y(5y^2 + 3)

Answer:

1250(pi) ft^3

or

3926.99 ft^3

Step-by-step explanation:

[tex](\pi {5}^{2} ) \times 50[/tex]

you have to put feet cubed at the end for units

Answer:

Equation = 9i + 9j + 2k - λ ( 8i + 6j - 3k)

Step-by-step explanation:

Vector equation of a line passing through two points A & B is : r = a + λ(b - a)

Given A = (9,9,2) ; B = (1,3,5)

Equation of line : r = 9i + 9j + 2k + λ [ (1-9) i + (3-9) j + (5-2) k ]

= 9i + 9j + 2k + λ ( -8i + -6j + 3k)

= 9i + 9j + 2k - λ ( 8i + 6j - 3k)

Answer:

18

Step-by-step explanation:

Do it by count how many side are there by the squares

Answer:

19

Step-by-step explanation

right on edge 2021

Answer:

Cost of car including VAT = $17,700

Step-by-step explanation:

Given:

Cost of car without VAT = $15,000

Rate of VAT = 18%

Find:

Cost of car including VAT

Computation:

Cost of VAT = Cost of car without VAT x Rate of VAT

Cost of VAT = 15,000 x 18%

Cost of VAT =  15,000 x 18

Cost of VAT = $2,700

Cost of car including VAT = Cost of car without VAT + Cost of VAT

Cost of car including VAT = 15.000 + 2700

Cost of car including VAT = $17,700

Answer:

f= -15

Step-by-step explanation:

u just have to divide

-75/5= -15  so f equal -15

Answer:

F=-15

Step-by-step explanation:

You want to get f by it’s self so to do that you would have to divide. So you would divide 5 by -75 to get -15 ( it’s a negative because a negative number divided by a positive number is a negative number). To check your math you would take 5 and multiply by -15 and that equals -75 (a negative number times a positive number is a negative number)

Answer:

A. The others are equivalent to 7/8

Answer:

140 liters

Step-by-step explanation:

Felicia pours 34 out of 212 liters of chlorine solution into a swimming pool

= 212-34

= 178 liters

He uses 38 liters out of the remaining solution to clean the pool filter

178-38

= 140

Hence what is left is 140 liters

Answer:

-5

Step-by-step explanation:

4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5

Answer:

Since I don't know the accuracy of the diagram i would advise you to measure using a divider or a ruler.

Answer:

108

Step-by-step explanation:

A straight line has an angle of 180, so to find <4 you need to subtract <2 from 180. So, 180 - 72 = 108.

Answer:

3775 in²

Step-by-step explanation:

The surface area of the ramp :

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 25 * 23 = 575 in²

Bottom rectangle = 60 * 23 = 1380 in²

For the trapezium: (front and rear)

1/2 (base 1 + base 2) * height

Base total = 20+ 20+ 20= 60

1/2(60)*15 = 450 in²

Total surface Area :

(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²

Answer:

[tex]C)~2~in[/tex]

Step-by-step explanation:

[tex]v=4/3 \pi r^3[/tex]

[tex]4=4/3~\pi r^3[/tex]

[tex]12/4\pi =r^3[/tex]

[tex]\sqrt{3/\pi } =\sqrt{r^3}[/tex]

[tex]0.977=r[/tex]

[tex]D=2r[/tex]

[tex]D=2(0.977)[/tex]

[tex]D=1.9544~orD=2~in[/tex]

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hope it helps...

have a great day!!

Answer:

A) sin θ = 3/5

B) tan θ = 3/4

C) csc θ = 5/3

D) sec θ = 5/4

E) cot θ = 4/3

Step-by-step explanation:

We are told that cos θ = 4/5

That θ is the acute angle of a right angle triangle.

To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.

Now, the identity cos θ means adjacent/hypotenuse.

Thus, adjacent side = 4

Hypotenuse = 5

Using pythagoras theorem, we can find the third side which is called opposite;

Opposite = √(5² - 4²)

Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;

sin θ = 3/5

B) tan θ

Trigonometric ratio for tan θ is opposite/adjacent. Thus;

tan θ = 3/4

C) csc θ

Trigonometric ratio for csc θ is 1/sin θ. Thus;

csc θ = 1/(3/5)

csc θ = 5/3

D) sec θ

Trigonometric ratio for sec θ is 1/cos θ. Thus;

sec θ = 1/(4/5)

sec θ = 5/4

E) cot θ

Trigonometric ratio for cot θ is 1/tan θ. Thus;

cot θ = 1/(3/4)

cot θ = 4/3

Answer:

There is no no pic of a square

Step-by-step explanation:

Answer:

She would save 4 kilometers

Step-by-step explanation:

Use pythagorean theorem

12² + 5² = 169

[tex] \sqrt{169} = 13[/tex]

17-13 = 4

Answer:

ummm they have biography for them but i don't know they full answer

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

30x+5=31x+1

x=4

Answer: SHEEEESHOOOOOO yesssirrrr big brainnnnnnn :clap clap:

you just add 8 + 8 + 8 it equals 24. rounded it will be 20

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im pretty sure thats how you do it if not sorry

Answer:

Now, you might immediately recognize that this is a proportional relationship. And remember, in order for it to be a proportional relationship, the ratio between the two variables is always constant. So, for example, if I look at y over x here, we see that y over x, here it's four over one, which is just four.

Step-by-step explanation:

Answer:

graphs help present data in a quick and easy way, take out the most important facts and and help them be easily remembered. Graphs can be used to help make a buget. They can also help you when you are doing a presentation or report. Or even when you need to make a hard decision.

This is what I did hopefully this helps :))

Answer: there are 8 girls is Lisa’s class

Step-by-step explanation:

Answer:

There are 8 girls in Lisa's class because 60% of 20 is 12 so the other 40% is the remaining number of students since you took away twelve and set it aside  since it is the 60% . 12 plus 8 equals twenty and twenty students equals 100% percent.

Step-by-step explanation:

Answer:

8.3units

Step-by-step explanation:

formula 2πr × x/360

where x= angle of sector

therefore

2× 22/7 × 14 × 34/360 = 8.3

The second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours

The function is given as:

H(t) = 12sin(2π/24t) + 15

When the weight is 17kg.

It means that:

H(t) = 17

So, we have:

H(t) = 12sin(2π/24t) + 15 and H(t) = 17

Next, we solve for t using a graphing calculator

From the graph of h(t), we have:

t = 0.64, 11.36, 24.64...... when h(t) = 17

The second time in the above list is

t = 11.36

Hence, the second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours

Read more about sine function at:

https://brainly.com/question/9565966

#SPJ1

Answer:

1,156 I think that’s right

Step-by-step explanation:

Answer: $32.39

Step-by-step explanation:

The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:

= 1/5 * 15

= 3 gallons

If Ayssa is going to fill up the tank, the number of gallons needed is:

= 15 - 3

= 12 gallons

Gas is $2.699 per gallon so cost is:

= 12 * 2.699

= $32.39

Answer:

Below in bold.

Step-by-step explanation:

- 5 - x^2 = -10

-x^2 = -10 + 5

-x^2 = -5

Divide through by -1:

x^2 = 5

x = -√5, √5.

Answer:

5381.6

Step-by-step explanation:

[tex](2.1 × 1016) + (3.2 × 1015)[/tex]

[tex] = 5381.6[/tex]