Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches.
A 0.6
B. 0.67
C. 1.67
D. 25

Answers

Answer 1

Answer:

       

Step-by-step explanation:

Answer 2
surface area = 4πr^2
Volume = 4πr^3/3
S/V ratio = 4πr^2 / (4πr^3/3)
= 3/r
answer 1.67 C

Related Questions

Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)
Center at the origin;
passes through (4, 6)

Answers

Answer:

[tex]x^2 + y^2 = 52[/tex]

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r has the following format:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Center at the origin;

This means that [tex]x_0 = 0, y_0 = 0[/tex]

So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - 0)^2 + (y - 0)^2 = r^2[/tex]

[tex]x^2 + y^2 = r^2[/tex]

Passes through (4, 6)

The radius is the distance from this point to the center. So

[tex]r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]r = \sqrt{(4-0)^2+(6-0)^2}[/tex]

[tex]r = \sqrt{16+36}[/tex]

[tex]r = \sqrt{52}[/tex]

So

[tex]r^2 = 52[/tex]

Then

[tex]x^2 + y^2 = r^2[/tex]

[tex]x^2 + y^2 = 52[/tex]

which of the following points lies on the line 2x-y=12

Answers

Answer:

You forgot something

Step-by-step explanation:

"which of the following points "

no points follow?????

What is the GCF of the terms of 8c3 + 12c2 + 10c

Answers

Answer:

The GCF of the terms is 2c

Step-by-step explanation:

Greatest common factor:

To find the gcf of the expression, we find the gcf separately for the numbers and for the powers of c, and then multiply them.

Numbers:

8, 12 and 10.

Dividing them all by prime factors:

8 - 12 - 10|2

4 - 6 - 5

5 is not divisible by 2, so we stop there, and the gcf of the numbers is 2.

Powers of c:

Powers of c are 1, 2 and 3. The gcf of 1,2,3 is 1, as there is not a number that is divisible by all of 1,2,3 other than 1. So the gcf for the powers of c is c^1 = c.

GCF of the expression:

2*c = 2c

The expression for ordering brushes for an art class is 5c - 1, where c is the class limit. Evaluate the expression when the class limit is 34. When the class limit is 34, the expression evaluates to​

Answers

Answer: 169'

Step-by-step explanation:

Since the expression for ordering brushes for an art class is given as 5c - 1, where c is the class limit.

Therefore, when the class limit is 34, the expression evaluated will then be:

= 5c - 1

= 5(34) - 1

= 170 - 1

= 169

Therefore, 169 brushes were ordered.

is it possible to make a triangle with measure of 3mm 9mm and 5mm​

Answers

Answer: No

Step-by-step explanation: if you mean the measure of a is 3, the measure of b is 9 and the measure of c is 5, c being the hypotenuse then the answer is no because the the sides of a and b must be less than the measure of c. If 5 wasn’t the hypotenuse then the answer would be different.

(KEEP IN MIND THAT IF 9 IS THE HYPOTENUSE THEN THE ANSWER IS YES)

Hope this helps! :)

Find the 7th term of the geometric sequence: 4, 14, 49, ...

Answers

Answer:

Step-by-step explanation:

[tex]a_2=a_1*r=>14=4*r=>r=\frac{7}{2}\\a_n=a_1*r^{n-1}=>a_7=a_1*r^{7-1}=4*(\frac{7}{2})^6=\frac{117649}{16}\\\\a_7=\frac{117649}{16}[/tex]

what is 5.7916 rounded to the nearest thousandth?​

Answers

Answer:

5,792

Step-by-step explanation:

I'm pretty sure tell me if I'm wrong

Answer:

5.792

Step-by-step explanation:

To round to the nearest thousandth, look at the ten thousandths place.

If the number is greater than 5, we will round up. If it is 5 or less, we will keep the thousandths place the same.

There is a 6 in the ten thousandths place, so we will round up the thousandths place.

So, the rounded number will be 5.792

The sum of -5 + 6 and 7a - 8

Answers

7a-7

I hope you typed the question correctly because it was weird because -5+6=1

Answer:

1) 1

2) I'm getting no answer/ solution

Step-by-step explanation:

See image below:)

Can y’all help me? Thanks :)

Answers

Answer:

Step-by-step explanation:

Soooo, by looking at the picture we can tell that it is a right trapezoid

The formula for the area is

(b1+b2)/2*h

(Base 1+ Base 2)/ 2 * height

Now we can plug in the numbers:

(5+15)/2*6

20/2*6

10*6

=60

1 gallon of paint per sq. foot

So Isha needs 60 gallons of paint

What is the scale factor from abc to def?

Answers

Answer:

1/3

Step-by-step explanation:

Considering the triangles are similar the side lengths would be proportional too

like AB is similar to DE so 5/15 = 1/3

PLEASE HELP FAST!!!!!

Answers

BAnswer:

Step-by-step explanation:

Summer School 2020 Math 8 NWLSD
TUWW
Oriya
Mr. Williamson bought 4 boxes of chewy granola bars and 5 boxes of crunchy granola bars. Each box contained the
same number of granola bars. He took all 72 granola bars to the class picnic. How many granola bars were in each
box?
Let x represent the number of granola bars in each box.
Step 1: Write an equation.
Step 2: Identify and combine like terms.
Step 3: Use the properties of equality and inverse operations to solve the equation.
Done
Intro
DODO

Answers

Answer:

8 granola bars in each box

Step-by-step explanation:

The equation is 4x+5x=72

4x and 5x are like terms, so combine those 9x=72

Use the division property of equality to solve for x, x=8

A line passes through the origin and has a slope of 1/2.

Which of the following points does the line pass through?

(1/2, 1)
(1, 2)
(2, 1)
(0, 1/2)

Answers

Answer:

(2, 1)

Step-by-step explanation:

A line that passes through the origin and has a slope of 1/2 can be best represented as y = 1/2x

it starts at the origin

goes 2 units to the right

1 unit above

2 units to the right + 1 unit above = (2, 1)

Final Answer: (2, 1)

Answer:

2,1

Step-by-step explanation:

trust

Calculate the arithmetic mean 24, 36, 52, 48, 64, 40.

Answers

Answer:

Mean: 44

Step-by-step explanation:

1. 24 + 36 + 52 + 48 + 64 + 40 = 264

2. 264 divided by 6 = 44

(I divided it by 6 because there are 6 numbers (data points).)

1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
a.
What equation will calculate the value in x years? y =

Answers

Answer:

[tex]A(x) = 12000(1.04)^x[/tex]

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that [tex]P = 12000[/tex]

Compounded at 4% interest annually.

This means that [tex]r = 0.04, n = 1[/tex]

What equation will calculate the value in x years?

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]

[tex]A(x) = 12000(1 + 0.04)^x[/tex]

[tex]A(x) = 12000(1.04)^x[/tex]

37% of what number is 72?

Answers

The answer is 194.59

(72 x 100) / 37 = 194.59

Answer:

26.64

Step-by-step explanation:

37% of x = 72

0.37x = 72

isolate x

x = 72*0.37

x = 26.64

A number z is greater than 3 and is less than or equal to 8

Answers

Answer:

z > 3

z <_8

.......................

Find the different
5-2

Answers

Answer:

3

Step-by-step explanation:

5-2=3 ¯\(◉‿◉)/¯

hope it may help you

mark as brainlist please!!

¯

Provide a formula that can be used to determine whether a point in a circle that is centered about (0,0) with a diameter of 12

Answers

Answer:

x² + y² = 36

Step-by-step explanation:

The formula for the circle is

x² + y² = 36

If the point is on the circle it will equal 36 when plugged into the formula

Point(6, 0)

6² + 0 = 36

36 = 36    on the circle

point (5, 1)

5² + 1² = ?

25 + 1 = 26

26 ≠ 36      not on the circle

Step-by-step explanation:

hhajjbahhahahsshahhshshshshssbhssjdj

Jasmine recorded the number of minutes she spent doing homework each day during the months of March and April. The box shows her data for March. Select all true statements about the data.

Answers

Answer:

I think it's the first obtion

Complete the following sentence to form a true statement. The expressions x2 - 14x + and (X - _)2 are equivalent. The e expressions x2 - 14x + [and (x-D) are equivalent (Simplify your answer. Type an integer or a fraction.)​

Answers

The expressions x2 - 14x + 49 and (x - 7)2 are equivalent.

(x + a)^2 = (x + a)(x + a) = x^2 + 2ax + a^2

In this case 2a = -14 so a= -7 and a^2 = 49

52 words in 2minutes and 39 words in 90 seconds?
(Show your work)

Answers

Answer: Proportion: (52/120)=(39/90)

Explanation: Since there is no given question, I assumed that the question asks for an proportion. So, 2 minutes=120 seconds and set up the proportion where (words/seconds).

You should get, (52/120)=(39/90).

Proportion form of the given problem is (52/120)=(39/90). They both are equivalent to each other which gives the same value of 4.33 after solving the proportion.

When does two ratios form a proportion?

Two ratios form a proportion if simplified form of both the ratios comes out as same ratio.

Using above method to find out whether the given ratios are forming proportion or not.

The question asks for an proportion.

So, 2 minutes = 120 seconds and set up the proportion

where it will be in the form of (words/seconds).

It is given that 52 words in 2minutes and 39 words in 90 seconds

Now, the proportion form will be;

(52/120) = (39/90).

They both are equivalent to each other which gives the same value of 4.33 after solving the proportion.

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ2

Write the equation of a line that is perpendicular to y =(1/2)x - 5 and passes through point (-6,2)

Answers

Answer: y=-2x-10

Work:
m=(1/2)
m perpendicular= -2
2=-2(-6)+b
b=-10

Explanation: the standard form of the equation of a line is y=mx+b, find the y-int and perpendicular slope.

Answer:

y=-2x-10

Step-by-step explanation:

Let us start with a general slope-intercept equation, y=mx+b, where m represents the slope, b represents the y-intercept, and the y and x represents the coordinates the line passes through.

Therefore, the slope of our line

[tex]y=\frac{1}{2}x-5[/tex]

is 0.5

We also know that the perpendicular slope is simply the negative reciprocal of the current slope. We know have:

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

Now, let us find the y intercept. We can plug in the x and y values using the given coordinate (–6,2).

[tex]y=-2x+b\\2=-2*(-6)+b\\2=12+b\\b=-10[/tex]

Now, we can write our equation:

[tex]y=-2x-10[/tex]

I hope this helps! Let me know if you have any questions :)

Help me please I’m down baddddd

Answers

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

-2 (8p+2) -3(2-7p)=2(4+2p)​

Answers

Answer:

p = 18

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(8p+2)−3(2−7p)=2(4+2p)

Step 1: Simplify both sides of the equation.

−2(8p+2)−3(2−7p)=2(4+2p)

(−2)(8p)+(−2)(2)+(−3)(2)+(−3)(−7p)=(2)(4)+(2)(2p)(Distribute)

−16p+−4+−6+21p=8+4p

(−16p+21p)+(−4+−6)=4p+8(Combine Like Terms)

5p+−10=4p+8

5p−10=4p+8

Step 2: Subtract 4p from both sides.

5p−10−4p=4p+8−4p

p−10=8

Step 3: Add 10 to both sides.

p−10+10=8+10

p=18

Therefore, the final answer is 18, I hope this helps :D

Answer:

p=18

Step-by-step explanation:

See image below:)

play help me on this​

Answers

Answer:

VTU    T     UTV     all work

Give me brainiest answer please it helps a lot! :D

Step-by-step explanation:

Answer:

The answer is A <VTU, B <T and D <UTV

Sets L and J are defined as follows: L = { g , h , i , j , k } J = { i , l , m , n , o } Find the intersection of L and J .

Answers

Answer:

Step-by-step explanation:a

Answer:

The answer is L∩J= {i}

Step-by-step explanation:

I just took a quiz and this was the correct answer

Which explicit formula is equivalent to a1 = 1, an=
4an-1?
A. an = 1(4)^n-1
B. an = 4(4)^n-1
C. an = 4(1)^n–1
D. an = 1 + (n - 1)4

Answers

Answer:

A. an = 1(4)^n-1

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio, and the sequence is given by:

[tex]a_n = a_1(q)^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term and q is the common ratio.

We are given the following sequence:

[tex]a_1 = 1[/tex]

[tex]a_n = 4a_{n-1}[/tex]

So

[tex]a_2 = 4a_1 = 4[/tex]

[tex]a_3 = 4a_2 = 16[/tex]

[tex]a_4 = 4a_3 = 64[/tex]

That is, the quotient between consecutive terms is 4, so [tex]q = 4[/tex].

The first term is already given, [tex]a_1 = 1[/tex]. So

[tex]a_n = a_1(q)^{n-1}[/tex]

[tex]a_n = 1(4)^{n-1}[/tex]

And thus, the correct answer is given by option A.

HELP PLSS I WILL GIVE BRAINLYEST
I SUCK AT MATH

Answers

Answer:

W=11

Step-by-step explanation:

Just trust me with this one :3

Suppose that E and F are points on the number line.
If EF=9 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.

Answers

9514 1404 393

Answer:

  -5 or 13

Step-by-step explanation:

A point that is 9 units from 4 on the number line ca be located at ...

  4 - 9 = -5

  4 + 9 = 13

F could be either of -5, 13.

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