Find the volume of the cone. Either enter an exact answer in terms of π or use 3.14 for π. radius is 10 height is 6​

Answer:

a = 1

b = -1

Step-by-step explanation:

\(g(x)=ax^2-b \quad \quad \textsf{(where }\:a\:\textsf{ and }\:b\:\textsf{ are real numbers)}\)

Create 2 equations with b as the subject using the given information.

Equation 1

\(\begin{aligned}g(2) &=-5\\\implies a(2)^2-b &=-5\\4a-b &=5\\ b&=4a-5\end{aligned}\)

Equation 2

\(\begin{aligned}g(-1) &=2\\\implies a(-1)^2-b &=2\\a-b &=2\\ b &=a-2\end{aligned}\)

Equate the equations and solve for a:

\(\begin{aligned}b & =b\\\implies 4a-5 & = a-2\\3a & = 3\\a & = 1\\\end{aligned}\)

Substitute the value of a into Equation 2 and solve for b:

\(\begin{aligned}b & =a-2\\a=1 \implies b & =1-2\\b & = -1\end{aligned}\)

Answer:

a = -7/3

b = -13/3

Step-by-step explanation:

Making equations in terms of 'a' and 'b' :

Subtract : Equation 1 - Equation 2

Finding b :

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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Answer:

513.45

Step-by-step explanation:

use intelligence

Answer:

Correct option is

C

10

5

10P

5

Total ways in which one passenger can stop =10

Total ways in which 5 passengers can stop =10∗10∗10∗10∗10

=10

5

We will select 5 floors from 10 floors and assign each individual to each floor to keep everyone isolated from each other

No. of ways in which no two persons stop at the same floor =10C

5

∗5!

=10P

5

⇒P(E)=10P

5

/10

5

Answer: 0.06p = 0.72

p = 12

Step-by-step explanation:

The original price was $12.

Answer:

12

Step-by-step explanation:

Answer:

Ab paralelo DC

Step-by-step explanation:

Answer: -4x(x-1)

Step-by-step explanation:

Since both are perfect squares just factor.

Answer:

l = 1920 cm

Step-by-step explanation:

Given that,

The radius of circle, r = 8 cm

The central angle is 240 degrees

We need to find the length of the arc. We know that,

\(l=r\theta\)

Where

l is the length of the arc

So,

\(l=8\times 240\)

\(\implies l=1920\ cm\)

so, the length of the arc is equal to 1920 cm.

Answer:

Step-by-step explanation:

The angle of depression is the downward angle the air traffic controller

looks down from in the tower.  It also equals the angle of elevation which is the angle formed by the runway and the line of sight.

With this information you can find the remaining angle:

180 - (90 + 18)

180 - 108 = 72

Let Angle B = 72°

Angle A = 18°

Angle C =90°

We have one side - 140 feet - this is side a - it is across from angle A.

There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)

Using the law of sines:

sin A/a = sinB/b

sin 18°/a = sin72°/b

.3090/140 = .9510/x

cross multiply and then divide

140 × .9510/.3090

133.14/.3090

430.873 ft

round to a tenth = 430.9 ft

Answer:

-13\(p^{4}\) - \(8p^{2}\) + 4p + 3

Step-by-step explanation:

I am having a little trouble reading the number.  I think 5 is the question number and not part of the problem.  I think this is the problem:

(4p - 6\(p^{4}\) - 3) - (8\(p^{2}\) + 7\(p^{4}\) - 6)  You take the opposite of everything inside the second set of parentheses.  You can think of it as multiplying through by -1

4p - 6\(p^{4}\) - 3 - 8\(p^{2}\) - 7\(p^{4}\) + 6  Now we combine like terms.  That is the numbers with the same variable p and the same power of p.

-13\(p^{4}\) - 8\(p^{2}\) + 4p + 3

Answer:

x = 4

Step-by-step explanation:

(5-x) / (3/4x) = 1/3

multiply  both sides by 3/4 x

5-x  = 3/12 x    add 'x' to both sides of the equation

5 = 15/12 x       multiply both sides by 12/15

4 = x

Answer:

Correct answer is D 146°

Step-by-step explanation:

x= 90° +56° ( Exterior angle of a triangle is equal to the two opposite interior angles)

x= 146°

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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The numbers from sets B and D are combined to make zero. The correct option is A.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the sets of numbers are,

B : { -9-8-7-6-5-4-3-2-1 }

D : { 0 1 2 3 4 5 6 7 8 9 }

The numbers can be,

-9 + 9 =0

-8 + 8 = 0

-7 + 7 =0

-6 + 6 = 0

-5 + 5 =0

-4 + 4 =0

-3 + 3 = 0

-2 + 2 = 0

-1 +1 = 0

Hence, option A is correct.

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The statement which must be true given the premise that; T is the midpoint of RS and V lies between R and T is; Choice A; RV + VT = TS.

It follows from the task content that the answer choice which represents a true statement regarding the given description be identified.

Since it is given that T is the midpoint of RS, it follows that;

RT = TS.

Also, it is given that point V lies between R and T; it therefore obviously follows that the equation which is true about RV and VT is;

RV + VT = RT.

Therefore, since segments RT and TS are equal;

It follows from the substitution property of equality that;

RV + VT = TS.

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The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.

Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,

x / y = (1/2) / (1/3)

x / y = 3/2                        ...1

x + y = 5                          ...2

From equations 1 and 2, then we have

(3/2) y + y = 5

(5/2) y = 5

y = 2 quart

Then the value of 'x' is given as

x + 2 = 5

x = 3 quart

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

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Answer:

---------------------------------------

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

Answer:

Answers: 40/60 and 400/600.

Step-by-step explanation:

Ok, these fractions are equivalent to 67%, and to 4/6.

The solutions to the absolute value inequalities 1 to 20 are shown below

|x + 8| < 16

So, we have

-16 < x + 8 < 16

-24 < x < 8

|r + 1| ≤ 2

So, we have

-2 ≤ r + 1 ≤ 2

-3 ≤ r ≤ 1

|2c - 1| ≤ 7

So, we have

-7 ≤ 2c - 1 ≤ 7

-6 ≤ 2c ≤ 8

-3 ≤ r ≤ 4

Using the above as a guide, the solution to the other inequalities are

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Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

Answer:

a. 3/1?   b. 4/3?   c. 4/-16?   d.no slope

Step-by-step explanation:

not sure but this is my best maybe i mixed something but this is it!

Answer:

Her conjecture is not correct

Step-by-step explanation:

Given

\(x^5 - 2 > x\)

For \(x < -1\)

Required

Determine if the conjecture is true

\(x < -1\) implies that the values of x are:

-2, -3, -4, -5.....

Take any value of x and substitute in \(x^5 - 2 > x\)

Let x = -3

\(x^5 - 2 > x\) becomes

\(-3^5 - 2 > -3\)

\(-243 - 2 > -3\)

\(-245 > -3\)

The above inequality is false;

Hence:

Her conjecture is not correct

Answer:

Step-by-step explanation:

so what you need to do is subtracked 26 with 46 then you get the ansewer 20 but after that you have to do 20 divided by 4 and you will get your answer.

Answer:

\(\theta = 30^{\circ}\)

Step-by-step explanation:

Given:

Range: \(0^{\circ} \le \theta \le 90^{\circ}\)

\(Sin \theta = \frac{1}{2}\)

Required

Find \(\theta\)

\(Sin \theta = \frac{1}{2}\)

Take arcsin of both sides

\(sin^{-1}(sin\theta) = sin^{-1}(\frac{1}{2})\)

\(\theta = sin^{-1}(\frac{1}{2})\)

Using the sin table

\(\theta = 30^{\circ}\)

Answer:5

Step-by-step explanation:(1×2^2)+(0×2^1)+(1×2^0)=

1×4+0×2+1×1=

4+1=

5

Answer:

60 Days.

Step-by-step explanation:

Alright. We're told that the elementary menu repeats every 20 days. All right. And the middle school repeats every 15 days. And today they're both serving pizza. It asks how long until they're both saving it serving pizza again. Alright. So we can kind of just write them out and say well, if it's every 20 days, it repeats. Well then in 20 days from now we're going to get pizza again. And then after that another 20 days, so 40 days and then after that another 60 days. Okay. And we're just adding 20 each time. Uh you know, to see when would we get pizza again at the elementary school? Well, we can do the same thing here with middle school. And when are they going to get pizza again? Well, in 15 days from now they would get pizza again and then another 15 days from that. So that's 30 And then 45 and then 60 and then 75 and so on. And the first time that they're going to repeat is well, this is the common factor that are the common multiple that they have, which is 60. This is really just a complicated way of asking what is the least common multiple of 20 and 15. Alright. And your answer is going to be 60. So it'll be 60 days until they serve the same pizza again.

Answer:

Step-by-step explanation:

Let the consecutive integers be x - 1 , x , x + 1

Equation

2*(x - 1 + x) = 3*(x+1) - 2

Solution

2(2x - 1) = 3(x + 1) - 2           After the first two have been combined remove the brackets.

4x - 2 = 3x + 3 - 2               Combine the right

4x - 2 = 3x + 1

4x - 2 + 2 = 3x + 1 + 2         Add 2 to both sides

4x = 3x + 3                          Subtract 3x from both sides

4x-3x = 3x - 3x + 3             Combine

x = 3

Check

Left hand side

2(2 + 3)

2(5)

10

Right hand side

3*(x+1) - 2

3*(4) - 2

12 - 2

10

The answers at least agree.

Answer

​​  -4/3

Step-by-step explanation:

Answer: The square root of 1681 is 41.

Answer:

41

Step-by-step explanation:

It is 41

41 * 41 = 1681

41 ^ 2 = 1681