7) Bob has x Cheetos. Joey has 5 fewer that three times the number of
Cheetos that Bob has. Write an expression for the total number of Cheetos
that Bob and Joey have altogether, then simplify the expression. Type your
simplified answer below.

Answer:

B, 7/24

Step-by-step explanation:

(x=theta)

sec(x) = 1/cos(x) so 1/cos(x) = 25/24

\((\frac{1}{cosx})^-1 = (\frac{25}{24} )^-1\\\\cos(x) = 24/25\)

Then use the cos^-1 function on your calculator to find out theta.

Then tan your found value of theta.

You should find that tan (theta) = 7/24

The Average Variable Cost (AVC) Formula is a fundamental concept in economics and business management. It is used to calculate the average cost of producing one unit of a good or service, taking into account only the variable costs of production.

Variable costs are those costs that change with the level of production, such as raw materials and labor. Fixed costs, on the other hand, do not change with the level of production and include expenses such as rent and equipment.

The AVC formula is calculated by dividing the total variable costs of production by the number of units produced. This gives the average cost of producing each unit of the good or service, taking into account only the variable costs.

The value of the AVC formula lies in its ability to help managers and business owners understand the cost structure of their operations. By calculating the average variable cost, they can determine the minimum price they need to charge for their product or service in order to cover their costs and make a profit.

In addition, the AVC formula can be used to compare the efficiency of different production methods. By calculating the AVC for each method, managers can determine which method is the most cost-effective, taking into account only the variable costs.

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer: a. 3/5   b. 2/5

Step-by-step explanation: sample size/total

boys/total = 15/25 = 3/5

girls/total = 10/25 = 2/5

The number of communication channels, 1 channels would two people require.

To find number of communication channels, we use;

On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.

Number of potential communication channels = n x (n-1)/2

Given n = 2;

→ x = 2*(2 - 1)/2

    = 2*1/2

    = 1

The number of communication channels, 1 channels would two people require.

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Answer:

3 percent

Step-by-step explanation:

sorry if its wrong, hope this helped

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Divide 8 by 2/3

8÷ 2/3

8× 3/2

12

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

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Answer:

Down below.

Step-by-step explanation:

Two rays form an angle. In this case, that angle is a 180-degree angle. It's also a line because the rays from point A are endless in either direction.

The value of x is 3 days.

Here,

Jenna alone takes x days to finish a project.

Kelly alone takes 3 days more than Jenna alone to finish the project.

They together take 2 days to finish the project.

We have to find the value of x.

What is Mathematical expression?

Mathematical expression is a way where calculations and analytical processes should be observed.

Now,

Jenna alone takes x days to finish a project.

Hence, Jenna complete work in 1 day = 1/x work

Kelly alone takes 3 days more than Jenna alone to finish the project.

That is, x + 3 days.

Hence, Kelly complete work in 1 day = \(\frac{1}{x+3}\) work

They together take 2 days to finish the project.

Hence, They together complete a work in 1 day = 1/2 work.

To find the value of x we use the formula of work word problem as;

\(\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3\)

Since, The value of x = -2 is not possible (because days are not shown in negative sign).

Hence, The value of x is 3 days.

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Answer:

Meg thee Stallion would need to borrow 4 shelves from Cardi B

Answer:

4 shelves

Step-by-step explanation:

you can do 32 divided by 8 which gives you 4 or keep adding 8 until you get 32 and count how many times you had to add.

The function 750000(0.98)ⁿ represents the exponential decay of the mouse in the given situation.

A process known as exponential decay is when a quantity diminishes over time at a pace that reduces proportionally as the quantity shrinks.

The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time.

This decrease in growth is computed by utilizing the exponential decay formula.

One of the following formats can be used to express the exponential decay formula: f(x) = a (1 - r)x

So, the amount of exponential decay of the mouse would be:

A = P(1 - r)ⁿ

A = 750000(1 - 0.20)ⁿ ⇒ 750000(0.98)ⁿ

Therefore, the function 750000(0.98)ⁿ represents the exponential decay of the mouse in the given situation.

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\((2+3)^{-1}\equiv5^{-1}\pmod7\) is the number L such that

\(5L\equiv1\pmod7\)

Consider the first 7 multiples of 5:

5, 10, 15, 20, 25, 30, 35

Taken mod 7, these are equivalent to

5, 3, 1, 6, 4, 2, 0

This tells us that 3 is the inverse of 5 mod 7, so L = 3.

Similarly, compute the inverses modulo 7 of 2 and 3:

\(2a\equiv1\pmod7\implies a\equiv4\pmod7\)

since 2*4 = 8, whose residue is 1 mod 7;

\(3b\equiv1\pmod7\implies b\equiv5\pmod7\)

which we got for free by finding the inverse of 5 earlier. So

\(2^{-1}+3^{-1}\equiv4+5\equiv9\equiv2\pmod7\)

and so R = 2.

Then L - R = 1.

Answer: The value of x is 150.

Option (c) x= 150 is correct

Step-by-step explanation:

Given l1 ║ l2

let ∠1 =30°  

∠1 = ∠2 = 30° [Corresponding angle]

Then , ∠2 + ∠3 = 180° [Linear pair]

30° + x° = 180°

x° = 180° - 30°

∴ x = 150°

Answer:

The correct statements are:

- 6x + 15 < 10 - 5x ⇒ 3rd answer

Step-by-step explanation

An open circle is at 5 and a bold line starts at 5 and is pointing to the right ⇒ 4th answer

Step-by-step explanation:

∵ The inequality is -3(2x - 5) < 5(2 - x)

At first simplify each side

∵ -3(2x - 5) = -3(2x) + -3(-5)

Remember (-)(-) = (+)

∴ -3(2x - 5) = - 6x + 15

∵ 5(2 - x) = 5(2) + 5(-x)

Remember (+)(-) = (-)

∴ 5(2 - x) = 10 - 5x

∴ - 6x + 15 < 10 - 5x

Subtract 15 from both sides

∴ - 6x < -5 - 5x

Add 5x to both sides

∴ - x < - 5

Remember the coefficient of x is negative, then when you divide both sides by it you must reverse the sign of inequality

∵ The coefficient of x is -1

∴ Divide both sides by -1

∴ x > 5

just try your best!!!!!!!!!!!!!!!!!!!!!!

Answer:

hi

Step-by-step explanation:

Answer:

I hope this helps!

Answer:

Reuben will have to pay $19,183.77 when he starts to pay the loan off after 3 years.

Step-by-step explanation:

There are 3 important parts to this equation:

1) 16,902

2) 4.5%

3) 3 years

First, let's find the interest rate in decimal form. This is easy enough to do.

take the interest rate (4.5%) and divide by 100. You can do this in your head by moving the decimal point but I will just write it out for the example:

4.5/100 = 0.045

Now that we have that number. we want to get the dollar amount for the interest. this is done by taking the loan amount and multiplying it by the decimal form of the percentage:

16,902 * 0.045 = 760.59

Since the interest rate is NOT compounding the rest is simple.

760.59 * 3 = 2,281.77

2,281.77 + 16902 = 19,183.77

Hope this helps.

Answer:

The answer is below

Step-by-step explanation:

A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.

a) Given that number of chirps per minute, C is dependent on the temperature, T, when T = 45 degrees, C = 0, this can be represented as (45, 0).

Also at 75 degrees, C = 126 it can be represented as (75, 126).

Using (45, 0) and (75, 126), we can determine the equation of the line from:

\(C-C_1=\frac{C_2-C_1}{T_2-T_1}(T-T_1)\\ \\C-0=\frac{126-0}{75-45}(T-45)\\ \\C=4.2(T-45)\\\\C=4.2T-189\\\\\)

b) At t = 90°:

C = 4.2(90) - 189

C = 189 chirps per min

a. The expression of the number of chirps should be C =  4.2T - 189

b. The number of chirps per minute should be 189 chirps per min.

Since The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute.

So, here we used (45, 0) and (75, 126), we can measure the equation of the line from

\(C- C_1 = \frac{C_2-C_1}{T_2-T_1} (T_2 - T_1)\\\\C- 0 = \frac{126-0}{75-45} (T - 45)\\\\\)

C = 4.2(T - 45)

C = 4.2T - 189

b. When T = 90 degrees

So,

C = 4.2(90) - 189

= 189 chirps

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The only combination you will not find in a valid deductive argument is "false premises and a true conclusion."

A deductive argument is considered valid when the conclusion logically follows from the premises. In other words, if the premises are true, the conclusion must also be true. Therefore, in a valid deductive argument, the premises and conclusion must have a consistent truth value.

Let's examine the given answer choices:

1. True premises and a false conclusion: This combination would result in an invalid deductive argument because the conclusion contradicts the truth of the premises. For example:

Premise 1: All mammals are warm-blooded.

Premise 2: Elephants are mammals.

Conclusion: Elephants are cold-blooded.

2. True premises and a true conclusion: This combination represents a valid deductive argument. If the premises are true and the conclusion logically follows, the argument is valid.

3. False premises and a false conclusion: This combination may or may not represent a valid deductive argument. Although the premises and conclusion have the same truth value, it does not necessarily mean that the argument is valid. It is possible for a deductive argument with false premises and a false conclusion to be valid, as long as the reasoning is sound.

4. False premises and a true conclusion: This combination represents an invalid deductive argument. The truth of the conclusion cannot be guaranteed if the premises are false. Therefore, this combination is the one you will not find in a valid deductive argument.

In a valid deductive argument, you will not find the combination of false premises and a true conclusion. This combination would render the argument invalid because the conclusion would not be guaranteed to follow logically from the false premises.

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Answer:

i think B but I’m not 100% sure lol

Step-by-step explanation:

Here’s what I found on this app

3w + 8 - w = 4w - 2(w - 4)

2w + 8 = 4w - 2w + 8

2w + 8 = 2w + 8

0 = 0

Answer:  C. 3w + 8 – w = 4w – 2(w – 4)

Identity equations are equations that are true no matter what value is plugged in for the variable. If you simplify an identity equation, you'll ALWAYS get a true statement. Learn about identity equations in this tutorial, and then create your own identity equation.

Step-by-step explanation:  Algebra.com

a. 11 - (2v + 3) = -2v - 8

Simplify

    11 - 2v - 6 = -2v - 8

         5 - 2v = -2v - 8

Add 3v to both sides

              5 = -8

That's false, so it is not an identity.

b. 5w + 8 - w = 6w - 2(w - 4)  

Simplify

      4w + 8 = 6w - 2w + 8

      4w + 8 = 4w + 8

That's exactly the same on both sides, so it's

an identity.

c. 7m - 2 = 8m + 4 - m

  7m - 2 = 7m + 4

Subtract 7m from both sides:

      -2 = 4

That's false, so it is not an identity.

d. 8y + 9 = 8y - 3

Subtract 8y from both sides:

       9 = -3

That's false, so it is not an identity.

The rectangular equation is x cos θ = 1 and y sin θ = x cos θ. The graph of this equation is a hyperbola that passes through the points (1, 0) and (-1, 0).

The given polar equation is r = sec θ.

To convert it into rectangular form, we need to use the following identities:

sec θ = 1/cos θr

cos θ = x

r sin θ = y

Using these identities, we get:

r = sec θ

1/cos θ = r cos θ

x = r cos θ = sec θ cos θ

y = r sin θ = sec θ sin θ

Now substitute the values of cos θ and sin θ from their identities:

x = sec θ cos θ = (1/cos θ)(cos θ)y = sec θ sin θ = (1/cos θ)(sin θ)

Simplify these expressions by multiplying both sides by cos θ:

x cos θ = 1

y sin θ = x cos θ

Therefore, the rectangular equation is x cos θ = 1 and y sin θ = x cos θ.

The graph of this equation is a hyperbola that passes through the points (1, 0) and (-1, 0).

The hyperbola has vertical asymptotes at x = ±1 and horizontal asymptotes at y = ±1.

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Answer:

6 Celsius

Step-by-step explanation:

Initial temperature at 12pm is 0 Celsius.

Rises by 6 (add by 6).

\(0+6\)

\(6\)

Answer:

\(1a. \: = 20 + 200.( \frac{1}{2})^{ \frac{t}{10} }\)

\(1b. \: = 91^{o} c\)

\(1c. \: = 30 \: minutes\)

Step-by-step explanation:

\(1a. \: t = a + b. {c}^{t}\\ a = 20\)

\(t(0) = a + b = 220 = > b = 200 \\ c = (\frac{1}{2})^{ \frac{1}{10} } \)

\(t = 20 + 200.( \frac{1}{2} )^{ \frac{t}{10} } \)

\(1b.when \: t = 15 \\ t = 20 + 200.( \frac{1}{2})^{ \frac{15}{10} } \\ = 20 + 71 \\ = 91^{o}c\)

\(1c.when \: t \: = 45 \\ 20 + 200. (\frac{1}{2} )^{ \frac{t}{10} \: } = 45 \\200.( \frac{1}{2})^{ \frac{t}{10} } = 25 \\ ( \frac{1}{2} )^{ \frac{t}{10} } = \frac{1}{8} \\ \frac{t}{10} = 3\)

\(t = 30\)

Answer:

\(32\pi\) meters

Step-by-step explanation:

The formula for finding the circumference of a circle is \(C=2\pi r\), where \(C\) = circumference and \(r\) = radius. In this case, we are solving for \(C\) and we know that \(r=16\), so after substituting \(r=16\) into \(C=2\pi r\), we get:

\(C=2\pi r\)

\(C=2\pi *16\) (Substitute \(r=16\) into \(C=2\pi r\))

\(C=32\pi\) (Simplify RHS)

Hope this helps!

We have,

Radius of the circle = 16 m

We know,

Circumference = 2πr

∴ Circumference = 2π × 16 m = (32π) m.