simplify the following 2y^4 x 5y^3

Answer:

Radius = 17.

Step-by-step explanation:

If(h,k) is centre and rradius, the eqn. of circle is :(−x h)2+(y−k)2=r2

Comparing with the given eqn. of circle, we find, r2=289 Hence, radius  is 17

Answer:

mark did cause it said mark rented his books everyday and it was represented on the table

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

[tex]l = \sqrt{12^2 + (-5)^2[/tex]

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

Answer:

90 Minutes

Step-by-step explanation:

If he took 27 minutes to do 30% of his homework, then we can reverse the operation to find the total amount

30% is the same as 0.3, therefore you divide 27 by 0.3 because the 100% is 1, so by dividing you'll get the 100%.

90 minutes

So 27 = 30%

30% + 30% + 30% = 90%

 27 +   27  +  27  = 81

30% ÷ 3 = 10%

27 ÷ 3 = 9

90% + 10% = 100%

81 + 9 = 90

Answer:

1 3/8

Step-by-step explanation:

We are to add 1/2 + 1/4 + 5/8

[tex]\frac{1}{2} + \frac{1}{4} + \frac{5}{8}[/tex]

[tex]\frac{4 + 2 + 5}{8}[/tex] = 11/8 = 1 3/8

Answer: 1 3/8

Step-by-step explanation:

Answer:

The probability is 3/10

Step-by-step explanation:

So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10

Answer:

y = -2/3x - 5

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Multiplying 3 * -5 gives you -15

Answer:

-15

Step-by-step explanation:

divide by 3

you'll should get -15

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

Answer:

Step-by-step explanation:

Answer:

y=-1/4x+1

Step-by-step explanation:

Hi there!

We're given the point (-8,3) and a slope of -1/4

lines are typically written in the formula y=mx+b, where m is the slope and b is the y intercept

as we are already given the slope, we can substitute its value into the equation

substitute -1/4 as m

y=-1/4x+b

now we need to find b

as the equation passes through the point (-8,3),we can use it to solve for b

substitute -8 as x and 3 as y

3=-1/4(-8)+b

multiply

3=2+b

subtract 2 from both sides

1=b

substitute 1 as b

y=-1/4x+1

Answer:

4/5

Step-by-step explanation:

if it take 1/4 of an hour to mow 1/5 of his yard.

First you have to find out what is 1/4 of an hour which in order to find you have to multiply 1/4 by 60 because it has 60 mins in an hour. You now have 15 mins and we already know there are 60 mins so we divide 60 by 15 which give you 4 then you multiply 1/5 by 4 which gives you 4/5 or 0.8.

Answer:

A

Step-by-step explanation:

I=PRN

=4500×(4.75/100)×3

=$641.25

Answer:

Jacob

Brennan

Adrienne

Valerie

Step-by-step explanation:

Positive and nonlinear follows the first one so that's Jacob's

clustering is in the fourth one so that's Valerie's

2 and 3 have an outlier so look at next one

negative and linear is the third one so that is Adrienne's and the second one is Brennan's

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

Answer:

576 yards

Step-by-step explanation:

Answer:

[tex]\displaystyle r = 7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3} r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

V = 294π

h = 18

Step 2: Solve for r

Answer:

yes because 3 is in - and it is less than 0

Answer:

Yes

Step-by-step explanation:

-3x ≥ 12

Divide both sides by -3

When multiplying or dividing by a negative the inequality must be reversed

x ≤ -4

Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

Answer:

Step-by-step explanation:

I am pretty sure the answer is b

Answer:

40

Step-by-step explanation:

52= 1/2(64 + x)

52 = 32 + 0.5x

52-32= 32-32 + .5x

20=.5x

Divide both sides by .5x

X = 40.

Answer:

Step-by-step explanation:

its b

Answer:

I am pretty sure its 1.99

Step-by-step explanation:

12/10.99= ~1.09

24/25.99=~0.80

1.09+0.80=1.99

Answer:

Step-by-step explanation:

take 53 degree as reference angle

using tan rule

tan 53=opposite/adjacent

1.32=BC/18

1.32*18=BC

23.76=BC

23.8=BC

Answer:

x = 3

Step-by-step explanation:

5x + 15 = 10x

-5x            -5x

15 = 5x

/5     /5

3 = x

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.