Please help!! 50 points!!
Use the exponential equation below to answer Part A, Part B, and Part C.
35^x = 8

Part A: Explain the steps to solve the equation.

Part B: Rewrite the exponential equation in logarithmic form using the definition of logarithms.

Part C: Use the equation from Part B to solve for x. Round to the nearest hundredth

Answer:

The baker needs 82 boxes.

Step-by-step explanation:

326/4=81 r 2.

But, you have to fit in all the cupcakes, so you round ir up to 82.

Answer: x = 6.56

Step-by-step explanation: -0.4x - 0.5 + x = 3.63

-0.4x^2 - 0.5 = 3.63

-0.4x^2 = 4.13

0.63x = 4.13

x = 6.56

A can is an example of a cylinder, and the volume of a cylinder is πr^2 x h. The diameter is 4, and the radius is half of a diameter so the radius is 2. The volume is π x 2^2 x 6 = 75.3982236862

Hope this helps :)

Answer:

The surface area of a polyhedron is the number of square units that covers all the faces of the polyhedron, without any gaps or overlaps.

Answer:

The correct answer is A

Step-by-step explanation:

The books sold are 30,000, so that is our total sale for January. His sales are decreasing by an average of 500 books per month, which means he is losing sales so it is a negative value, and we multiply that by x (number of months) since the question has not stated the number of months. Therefore, the equation would be f(x) = 30,000 - 500x

Hope this is of help!

Answer:

60

Step-by-step explanation:

AT = ½bh

AT = (6(20)) / 2

AT = 60

Answer:

The answer is 60

Step-by-step explanation:

^^

Happy to help :D

Answer:

I don't know

Step-by-step explanation:

You didn't give a picture to see the rectangle.

The inequality expression of the given word problem statement is;

t² - 3 ≤ 46

We are told that two numbers labelled t² and 3 have a difference that is at most 46.

Now, when we say at most, it means less than or equal to symbol.

Thus, the expression of the given statement is; t² - 3 ≤ 46

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Answer:

6.96

Step-by-step explanation:

2.9 x 1.5 = 4.35

3.3 - 1.5 = 1.8

1.8 x 2.9 = 5.22

5.22 divided by 2 = 2.61

4.35 + 2.61 = 6.96

The total amount that Penny has budgeted for her trip to Egypt is £5351.62.

The exchange rate is the rate at which one currency is exchanged for another currency.  The total amount that was budgeted by Penny is the sum of the different compoments that she compiled for the trip.

Cost of international phone card in Egyptian pound = 41.38 x 5.3841 =£222.79

Cost of passport in Egyptian pound = 65 x 5.3841  = £349.97

Total cost =  3,241.77 + £222.79 + 494.25 +  £349.97+ 398.26 £ + 644.48 = £5351.62

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Answer:

  16 feet

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle. The Pythagorean theorem tells us the relationship between the various distances.

  EH² +HF² = EF²

  EH² + 12² = 20²

  EH² = 400 -144

  EH = √256 = 16

The hook is 16 feet below Edna.

Answer:

8 feet

Step-by-step explanation:

Answer:

−3k+6y

Step-by-step explanation:

Apply the distributive property.

5(2y)+5 (−3k)+4(3k−y)

Multiply 2 by 5.

10y+5(-3k)+4(3k−y)

Multiply −3 by 5.

10y−15k+4(3k−y)

Apply the distributive property.

10y−15k+4(3k)+4(−y)

Multiply :3 by 4

10y−15k+12k+4(−y)

Multiply: −1 by 4

10y−15k+12k−4y

Simplify by adding terms.

Subtract: 4y from 10y

−15k+12k+6y

Add: −15k and 12k

−3k+6y

a = amount invested at 7%

b = amount invested at 9%

we know the amount invested was ₹36000, thus we know that whatever "a" and "b" are, a + b = 36000.  We can also say that

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b[/tex]

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

[tex]\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}[/tex]

The volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16 is 24.74 cubic units.

Find the volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16

From the sphere and cylinder, the cylindrical coordinate will be

[tex]z = \pm \sqrt{16 - r^2}[/tex]

And the radius of the cylinder is |r| < 1 and the 0 ≤ θ ≤ 2π.

Then the volume will be given as

[tex]\rm V = \int _0^{2\pi} \int _0^1 \int _{- \sqrt{16 - r^2}}^{\sqrt{16-r^2}} \left ( r \ dz \ dr \ d\theta \right ) \\\\\\V = 2\pi \int_0^1 \left ( 2r\sqrt{16-r^2} \right ) \ dr\\\\\\V = 4\pi \left [ -\dfrac{1}{3} (16 - r^2)^{3/2} \right ]\\\\\\V = \dfrac{4\pi}{3} \left ( 16^{3/2} - 15^{3/2} \right )\\\\\\V = 24.74[/tex]

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Answer:

The mean hourly snowfall is 2.5 centimeters

Step-by-step explanation:

The mean hourly snowfall is the number of centimeters that fell during the period divided by the number of hours.

From 5 P.M. to 9 P.M., there are 4 hours

At 5 P.M., the total snowfall is 2 centimeters.

At 9 P.M., the total snowfall is 12 centimeters.

So in those four hours, the depth of snow increases 12-2 = 10 centimeters

10/4 = 2.5

The mean hourly snowfall is 2.5 centimeters

Answer:

½ (a + b) h

Step-by-step explanation:

Answer:

3

√

97.336

Decimal Form:

29.59770261

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Things to Find

Volume of Toy

Volume of Circumscribing Cube

Difference in Volume

Slant height of cone

Surface Area of Toy

The difference of the two polynomials is 7x² + 11x. The correct option is the second option, 7x² + 11x

From the question, we are to determine the difference of the two polynomials

The given operation is

(9x²+8x) - (2x²+3x)

First, remove the brackets and collect like terms

That is,

9x²+ 8x - 2x² + 3x

9x² - 2x²+ 8x + 3x

Simplifying, we get

7x² + 11x

Hence, the difference of the two polynomials is 7x² + 11x. The correct option is the second option, 7x² + 11x

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Here is the complete and correct question:

What is the difference of the two polynomials? (9x2 + 8x) – (2x2 + 3x)
7x2 + 5x

7x2 + 11x

11x2 + 5x

11x2 + 11x

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Answer:

-90=-100+x

-90+100=x

x=10

hence 10 is that value whose satisfy this equation

Step-by-step explanation:

Answer:

114 feet

Step-by-step explanation:

To figure out the perimeter, we also need the width

The width can be found by dividing the area by the length

800/32 = 25

to find the perimeter, we use the equation 2L + 2W = P

L is the length

W is the width

2(32) + 2(25) = 64 + 50 = 114

114 feet is the perimeter

Give brainliest, please!

hope this helps :)

Answer:

Addition. Add 80 + 10 so

Step-by-step explanation:

Answer:

n = 1

Step-by-step explanation:

1 x 2 = 2
2 + 1 = 3
3 < 4

hope this helps

Answer: $10.24

Step-by-step explanation: 12.95 * 0.15 = 1.94    12.95 - 1.94 = 11.01

11.01 * 0.07 = .77      11.01 - 0.77 = 10.24

Answer:

6

Step-by-step explanation:

8 * 3/4 = 24/4  = 6 WATER BOTTLES

Answer:

Graph B

Step-by-step explanation:

Rearrange in the form y > mx + c :

    2. x + y < 2

Graph which shows this inequality is : Graph B

B. is the correct graph.

Step-by-step explanation:

I always try to find the easiest way to solve this kind of questions.

The easiest percentage to calculate with is number 10.

first step , divide the whole amount of the money by ten.

as a result we get 40,000

second step, we were asked to calculate a20% so we will double the 10 percent

and the answer goes to 80,000.

Answer:

Step-by-step explanation: umm i think 6000000 i don't know it might be right because i guess you need to add