Lucas found a punctured bouncy ball in his basement. He wants to know how much air
used to fill up the entire ball. The diameter of the ball is 6 in. Find the volume. Use 3.14
for pi.

Answer:

she should set up a budget on how much she makes

Step-by-step explanation:

Answer:

option A is your answer okk

Answer:

B.

Step-by-step explanation:

We are given:

[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]

And we want to select its equivalent form.

Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]

Distribute. Recall exponent properties;

[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]

Simplify:

[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]

This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.

Answer:

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

Step-by-step explanation:

[tex] \frac{x + 6}{x + 1} = \frac{6}{2} [/tex]

[tex] \frac{6}{2} = 3[/tex]

so, the solution of the equation will be as follows:

[tex] \frac{x + 6}{x + 1} = 3[/tex]

3(x+1) = x + 6

3x + 3 = x + 6

3x - x = 6 - 3

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

so, the answer will be x = 3/2

Answer:

Step-by-step explanation:

I don't think u can tell from that because u need the length of each movie

Answer:

Value of f[g(x)] = 3x² + 5

Step-by-step explanation:

Given:

f(x) = 3x - 1

g(x) = x² + 2

Find:

Value of f[g(x)]

Computation:

f(x) = 3x - 1

g(x) = x² + 2

So,

f[g(x)] = 3(x² + 2) - 1

f[g(x)] = 3x² + 6 - 1

Value of f[g(x)] = 3x² + 5

9514 1404 393

Answer:

  3 ft

Step-by-step explanation:

The post is 4/24 = 1/6 as tall as the streetlight, so we expect its shadow to be 1/6 as long as that of the streetlight:

  (1/6)(18 ft) = 3 ft

The parking meter post shadow is 3 feet long.

Answer:

1 or 0.5

Step-by-step explanation:

Answer:

[tex]BA = 6.0[/tex]

[tex]BC = 13.4[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a) BA

Considering the tangent of angle C, we have:

[tex]tan\ C = \frac{BA}{AC}\\[/tex]

This gives:

[tex]tan\ 25 = \frac{BA}{12}[/tex]

Make BA the subject

[tex]BA = 12 * tan\ 25[/tex]

[tex]BA = 12 * 0.4663[/tex]

[tex]BA = 6.0[/tex] --- approximated

Solving (a) BC

Using Pythagoras theorem

[tex]BC^2 = BA^2 + AC^2[/tex]

[tex]BC^2 = 6.0^2 + 12^2[/tex]

[tex]BC^2 = 180[/tex]

Square root of both sides

[tex]BC = \sqrt{180[/tex]

[tex]BC = 13.4[/tex]

Answer:

7.02

Step-by-step explanation:

20 ¢ x 5 = 1.00

3 x 3.99 = 11.97

11.97 + 1.00 = 12.97

20.00 - 12.97 = 7.02

Answer:

Sometimes. Say x = 3 and y = 4. 3 + 4 = 7, 3 - 4 = -1. However, the subtraction problem can be greater than the addition if you add some negatives into the mix. Say x = 3 and y = -4. 3 + (-4) is the same as subtracting 4, which give you -1. However, when you subtract negative four, it's the same as adding four, which gives you seven.

Answer:

(x,y) ---→ ( x + 3 , y + 1 )

Step-by-step explanation:

Hello There!

All we have to do is pick one letter and count the units from the preimage to the translated image

To get to A' you have to from A and go up one unit to the right 3 units

So the translation is 1 unit up 3 units to the right or (x,y) ---→ ( x + 3 , y + 1 )

Answer: -11

Step-by-step explanation:

4(-2)-3

-8-3

=-11

Answer:

4 3/8 lbs.

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

There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The individual weights of the bags of flour must add up to a total weight of 8 3/4 pounds.

We can express 8 3/4 as an improper fraction by multiplying the whole number 8 by the denominator 4 and adding the numerator 3, giving us 35/4.

Therefore, we can set up an equation:

x + y = 8 3/4

where x is the weight of one bag of flour, and y is the weight of the other bag of flour.

We can simplify 8 3/4 to 35/4, so the equation becomes:

x + y = 35/4

We can solve for one variable in terms of the other:

x = 35/4 - y

Now we can substitute this expression for x into the original equation and solve for y:

x + y = 35/4

(35/4 - y) + y = 35/4

35/4 = 35/4

This equation is true for any value of y.

Therefore, there are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.

For example, one bag could weigh 4 pounds and the other could weigh 4 3/4 pounds, or one bag could weigh 3 pounds and the other could weigh 5 3/4 pounds, and so on.

Thus,

There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.

Learn more about expressions here:

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Answer:

i dont see a picture?

Step-by-step explanation:

Step-by-step explanation:

the student who has the highest grades in a particular group of students and who gives the valedictory speech at a graduation ceremony compare salutatorian.

Answer: 125.66

Step-by-step explanation: my explanation is i searched it

what you need help woth owo

Answer:

45 cm

Step-by-step explanation:

You use the formulas 1/2*base*height for area of a triangle and edge squared for the square so you do 1/2*2.24*3 for the area of one triangle, then times this by 4 to account for all triangles, then you add this to 3*3 which is the area of the square

Answer:

0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period

Step-by-step explanation:

We have only the mean, so we use the Poisson distribution to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

It uses the estimate that the probability of a named Category III hurricane or higher striking that particular region of the coast in any one year is 0.05.

This means that [tex]\mu = 0.05n[/tex], in which n is the number of yeas.

If a homeowner takes a 30-year mortgage on a recently purchased property, what is the likelihood that the owner will experience at least one Category III hurricane during the mortgage period

30 years means that [tex]\mu = 0.05*30 = 1.5[/tex].

This probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2231 = 0.7769[/tex]

0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period

Let X become a variable refer to the number of Category ll hurricanes that occurred during the mortgage period. As per the information given, the variable x has a random variable.

For point a:

     [tex]\to P(X > 1) = 1 - P(X = 0)\\\\ \to P(X > 1) = 1^{-30} C_o (0.05)^0 (1 -0.05)^{30}\\\\ \to P(X > 1) = 0.7854[/tex]

For point b:

[tex]\to P(X > 2) = 1 - P(X =0) - P(X = 1)\\\\ \to P(X > 2) = 1 ^{-30} C_0(0.05)^0 (1 -0.05)^{30 -30} C_1 (0.05)^1+(1 - 0.05)^{29}\\\\ \to P(X > 2) = 0.4465[/tex]

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The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.

To obtain System B from System A, we can perform the following steps:

Start with System A:

System A:

x - 4y = 1

5x + 6y = -5

Solve the first equation in System A for x:

x = 1 + 4y

Substitute the value of x in the second equation of System A:

5(1 + 4y) + 6y = -5

Simplify and solve for y:

5 + 20y + 6y = -5

26y = -10

y = -10/26

y = -5/13

Substitute the value of y back into the equation we found in step 2:

x = 1 + 4(-5/13)

x = 1 - 20/13

x = (13 - 20)/13

x = -7/13

Write down the equations with the values of x and y:

System B:

x = -7/13

5x + 6y = -5

Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.

Learn more about expression here:

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Answer:

i think that will be 27 because thats 3/5 of the total

Step-by-step explanation:

tell me if i got it right or wrong no hate

Answer:

domain:{10,28,42,52}

range:{-10,6,10}

Step-by-step explanation:

Hello There!

If you didn´t know the domain is the set of x values

the x values in the given relation are

10,28,42,10 and 52

so the domain is {10,28,42,52}

The range is the set of y values

the y values in the given relations are

6,-10,6,10,10

so the range is {-10,6,10}

Answer:

A. 72×9=1/8

Step-by-step explanation:

the other two are decimals so it is A

Hope this helps!!

Answer:

[tex]\huge\boxed{\sf 1}[/tex]

Step-by-step explanation:

Given the expression:

= 9 - b

Given that b = 8

= 9 - 8

= 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Okay so we are asked to solve 9 - b, and we are told that b=8

Therefore this is just a matter of substitution:

9 - b

Substitute 8 for b:

9 - 8

Now just finish solving:

1

Therefore, the answer is 1

Hope this helped :)

Answer:

Step-by-step explanation:

For a solution to occur y=y so we can say

3x=2x+2 subtract 2x from each side

x=2, since y=3x

y=3(2)

y=6, so the solution exists at the point

(2,6)

Answer:

disappoint

recall

disgusted

reunited

prepare