Please help me with this. I need to solve for x.
4ln(7x+3)+12=40

The radius of the softball is 2.5 inches

The volume of a sphere is given by

V = 4/3 pi r^3

We know the volume is 125/6 pi

Substituting in

125/6 pi = 4/3 pi r^3

Divide by pi on each side

125/6 pi/ pi = 4/3 pi/ pi r^3

125/6 = 4/3  r^3

Multiply by 3/4 on each side to isolate r

125/6 * 3/4 = 3/4 *4/3  r^3

125/8 = r^3

Take the cube root on each side

(125/8) ^ 1/3 = (r^3) ^ 1/3

5/2 = r

2.5 =r

The radius of the softball is 2.5 inches

Answer:

[tex]\huge\boxed{\sf r = 2.5 \ in.}[/tex]

Step-by-step explanation:

[tex]\sf Volume \ of \ sphere = \frac{4}{3} \pi r^3\\\\Where \ volume = \frac{125 \pi }{6 } \ in.^3\\\\Put \ in \ the \ above\ formula:\\\\\frac{125 \pi}{6} = \frac{4}{3} \pi r^3\\\\Cancel \ pi\\\\\frac{125}{6} = \frac{4}{3} r^3\\\\20.83 = 1.33 r^3\\\\Divide \ 1.33 \ to \ both \ sides\\\\20.83/1.33 = r^3\\\\15.625 =r^3\\\\Take \ cube \ root \ on \ both \ sides\\\\\sqrt[3]{15.625} = \sqrt[3]{r} \\\\2.5 = r\\\\[/tex]

[tex]\sf r = 2.5 \ in.\\\\\rule[225]{225}{2}[/tex]

Answer:

y = -7

Step-by-step explanation:

2y + 7 = -7

Subtract 7 from both sides.

2y + 7 - 7 = -7 - 7

2y = -14

Divide both sides by 2.

2y/2 = -14/2

y = -7

Answer: (not sure)

right

median

range the iqr

Answer:

[tex]\huge\underline{Answer - }[/tex]

[tex]\bold{8 = - x + 10} \\ \\ \bold{\implies \: - x = 8 - 10} \\ \\ \bold{\implies \: \cancel - x = \cancel - 2 }\\ \\ \bold{\implies x\: = 2}[/tex]

hence , the given statement is true !

hope helpful ~

Answer:

Step-by-step explanation:

So, Lets find out if the solution is true or not, So first let us find the value of x.

⇒ 8 = -x + 10

We can rewrite the equation as,

⇒ -x + 10 = 8

Subtracting 10 from both sides we get :

⇒ -x + 10 – 10 = 8 – 10

⇒ -x = -2

Multiplying both sides by (-1) :

⇒ -1(-x) = -1(-2)

⇒ x = 2

Therefore,

If the number of the edges of the polyhedron is 14 and the vertices are 9. Then the number of the faces of the polyhedron is 7.

A polyhedron is a solid made composed of polygons in three dimensions. It has vertices, flat faces, and straight edges.

We know the Euler's formula

F + V - E = 2,

where, F = number of faces, V = number of vertices, and E = number of edges

Edges: 14

Vertices: 9

F + 9 - 14 = 2

            F = 14 + 2 - 9

            F = 16 - 9

            F = 7

Then the number of the faces of the polyhedron is 7.

More about the polyhedron link is given below.

https://brainly.com/question/2321456

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Answer:

the fourth option

Step-by-step explanation:

due to the range and median the range is 4 to 17 and the median is 10

Answer:

A = 24

Step-by-step explanation:

L * w = A

12 * 2 = 24

A = 24

Answer:

[tex]10x + 10x^{2} + 2x\\= 10x + 2x + 10x^{2}\\= 12x + 10x^{2}\\= \boxed{2x(6 + 5x)}[/tex]

Given Expression,

We can also write it as,

Now, Combining the like terms,

We simplified the expression.

If you want it to factorise it,

⇒10x² + 12x

⇒ 2x(5x + 6)

This is required factorised expression

Answer:

the amount of profit when there are 0 visitors

Answer:

Step-by-step explanation:

Lateral Surface Area of the Cylindrical Part

Slant height of cone

Surface Area of Conical Portion

Total Surface Area :

Volume

Hope it helps.

If you have any query, feel free to ask.

Answer:

c)  9

Step-by-step explanation:

[tex]\textsf{Surface area of a cylinder}=2\pi r^2+2\pi rh[/tex]

(where r is the radius and h is the height)

Given:

Substitute given values into the equation to find the surface area:

[tex]\begin{aligned}\implies \textsf{Surface area} & =2\pi (15)^2+2\pi (15)(48)\\ & =1890 \pi\: \sf in^2\end{aligned}[/tex]

To calculate the number of cans of paint to be bought, divide the surface area by the area one can of paint will cover:

[tex]\implies \dfrac{1890 \pi}{720}=8.246680716...[/tex]

We need to round this number up, as rounding down will mean we will not have quite enough paint to cover the surface area of the cylinder.

Therefore, the numnber of cans of paint that must be bought to completely cover the tank with one coat of paint is 9.

Answer:

180 students speak English

Step-by-step explanation:

320÷16=20

20×9=180

Answer:

It should somewhat look like the graph below...

Hope it helps!

Answer:

take 95% and 0.06 and find what is half of 95 and then multiply that by 95 and then put it in a fraction. amd circle your final answer

Answer:

see explanation

Step-by-step explanation:

There are 4 sections on the spinner so each option is 1/4

1) 4 Ds = 1/4 × 1/4 × 1/4 × 1/4 × 3/4 × 3/4 = 9/4096

the other two spins can be A, B, or C (3/4)

2) 2As = 1/4 × 1/4 × 3/4 × 3/4 × 3/4 × 3/4

the other two spins can be B, C, or D (3/4)

3) 2As = 1/4 × 1/4 = 1/16    OR means add

   3Bs = 1/4 × 1/4 × 1/4 = 1/64

1/16 + 1/64 = 5/64

4) at least 4 Cs = 1/4 × 1/4 × 1/4 × 1/4 =1/256

Answer: It should be this exactly: (x+4)(x-3)=0

Step-by-step explanation:

Answer:

the cans of food are 448 in number

Answer:

448

Step-by-step explanation:

Let's assume the final answer is x

128 ÷ x +3 ÷ 7 =  5 ÷ 7

x = 448

Answer:

The volume of c. figure is equal to 90 cm³

Step-by-step explanation:

These are the cuboids

The volume of a cuboid = l×b×h

A. 2×6×5

=> 60 cm³

B. 8×2×4

=> 64 cm³

C. 5×6×3

=> 90 cm³

D. 3×7×2

=> 42 cm ³

so, the volume of c. cuboid is equal to 90 cm ³

Answer:

B. -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x+103=180

180-103=77

77=7x

77/7=x        x=11

<W: 55-23=32

<v: 58

<x:90

Answer:

true

Step-by-step explanation:

The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17

Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.

FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:

How to calculate Tonja's Tax before deduction

Federal Tax rate first level is 10% on 0$ - $19,900.

1) Hence, the first tax is 10% on $600, which is $60

2) The next tax is FICA. This is applied to the Gross Pay of $600.

Applying both taxed under FICA we have 7.65% * $600 = $45.9

Total Tax before a deduction is:

$60 + $45.9 = $105.6

The Tax Payable if childcare expenses is deducted first will be:

10% on $450     = $45

7.65% on $450 = $34.43

Total                   = $79.43

Hence the tax savings will be:

105.6 - 79.43 = $26.17

Learn more about FICA Tax at:
https://brainly.com/question/3214345

Answer:

36 units

Step-by-step explanation:

Break it into 2 right triangles with legs  6 and 8    then the hypot = 10

8 +8 + 10 + 10 =36

Answer:

54

Step-by-step explanation:

If 5 students went in cars then 216 students were in the buses (221-5=216)

There were four buses so divide 216 by 5 which is 54.

So there were 54 students in each bus

Answer:

54

Step-by-step explanation:

If you have 221 students going to the zoo and 5 that went to the zoo in cars you only need to account for the 216 travelling by bus. So you subtract 5 from 221 and divide what you have left over (216) by 4 for the 4 buses you're using.

216/4= 54

Answer:

(-7,-3)

Step-by-step explanation:

explained in graph :)

Answer and Explanation:

Sara's sample is biased, she's only taking people that naturally would pull out their phones as they are waiting for a bus to arrive.

Sara's claim is not valid, the sample is too small and biased to be applied to her whole town.

Answer:

Step-by-step explanation:

I don't know if it's correct

Answer:

$28.92

Step-by-step explanation:

Find the discount

28.99 × 0.05 = 1.4495

28.99-1.4495 = 27.5405

Calculate the tax of the discounted item

27.5405 x 0.05 = 1.377

27.5405 + 1.377 = 28.9175

The number of ways that a cook can arrange 8 of 12 spice jars on a spice rack is; 495 ways.

We want to find the number of ways that a cook can arrange 8 of 12 spice jars on a spice rack.

This is a Combination Problem which follows the formula;

nCr = n!/(r!(n - r)!

12C8 = 12!/(8!(12 - 8)!

Solving this gives;

12C8 = 495 ways

Thus, the number of ways that a cook can arrange 8 of 12 spice jars on a spice rack is 495 ways.

Read more about Probability Combinations at; https://brainly.com/question/24756209

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Answer:

The correct answer is: 19,958,400.

Step-by-step explanation:

I hope this helps! :)