(BRAINLIEST + 30 POINTS) Gumballs cost $0.50 each, and jawbreakers cost $0.30 each. Bob has $3.00 to spend on candy.

Create an inequality that represents the number of gumballs and jawbreakers Bob can buy.

Answer:

166.68

Step by Step:

166.678

The bolded number is greater than 5 meaning you have to round up.

so 166.678 is rounded to 166.68.

Hope this helped.

The probability that exactly two of the students are juniors is given as follows:

0.270 = 27%.

The mass probability formula is presented as follows:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

The values of these parameters for this problem are given as follows:

\(N = 60, n = 4, k = 18\)

Hence the probability that exactly two of the students are juniors is calculated as follows:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,60,4,18) = \frac{C_{18,2}C_{42,2}}{C_{60,4}} = 0.270\)

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Answer:

\(54 \: {in}^{2} \)

Step-by-step explanation:

Area calculation:

\( \frac{9 \times 12}{2} = 54 \: {in}^{2} \)

Answer:

A = 54 in^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 (12)(9)

A = 54 in^2

Answer:

π(13)²(27/3) = 4778.4

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

the line the 110 is straight, so it sums to 180 and 180-110=70 and 180-60-70=50

The equation of the line with slope  (-4/3) is given by 3y +4x = 15 .

The line equation is an algebraic representation of a set of points in a coordinate system that form a line. The several points on the coordinate axis that comprise a line are represented as a set of parameters x, y to construct an algebraic equation known as a line equation. We can use the equation of each line to determine whether or not a given point is on the lines.

Line's equation is, in fact, a one-degree linear equation.

The line passes through (3,1)and has a slope of (-4/3) .

Therefore the equation of the line will be written in the form of :

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

or , 3y-3 = -4x + 12

or, 3y +4x = 15

here the y-intercept of the line is 5.

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Answer:

1. y=1/4x+3

2. y=2x

3. y=-1/4x+9/2

4. I cannot solve 4 because there is not two point to solve fir slope intercept form

The value of "ω" for which the function returns a 3 dB response in the expression 20log(|1 + jwt|) is approximately 15245.67.

In the given function, 20log(|1 + jwt|), the term inside the logarithm represents a complex number with a real part of 1 and an imaginary part of jwt. To determine the value of "ω" for a 3 dB response, we need to find the frequency at which the magnitude of the complex number is 3 dB lower than its maximum value.

In decibels, a reduction of 3 dB corresponds to a power ratio of 0.5 (or an amplitude ratio of √0.5). Converting this to a magnitude ratio, we have 0.5 = |1 + jwt|/|1 + jwt|max.

Squaring both sides of the equation, we get 0.25 = |1 + jwt|²/|1 + jwt|max².

Expanding the square and rearranging the terms, we have 0.25 = (1 + jwt)(1 + j(-wt))/|1 + jwt|max².

Simplifying further, we get 0.25 = (1 - wt²)/|1 + jwt|max².

Since the real part of the complex number is 1, we have |1 + jwt|max = 1.

Substituting T = 1.3606746 x \(10^(^-^4^)\) for wt, we get \(0.25 = (1 - w^2T^2)/1.\)

Rearranging the equation, we have\(1 - w^2T^2 = 0.25.\)

Solving for w, we find \(w^2T^2 = 0.75.\)

Taking the square root of both sides, we obtain wT = √0.75.

Dividing both sides by T, we get w = √0.75/T.

Substituting the given value of T = 1.3606746 x \(10^(^-^4^)\), we have w ≈ √0.75/(1.3606746 x \(10^(^-^4^)\)).

Evaluating the expression, we find w ≈ 15245.67.

Therefore, the value of "ω" for which the function returns a 3 dB response is approximately 15245.67.

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Using an arithmetic sequence, it is found that the clock chimes 132 times in a 24-h period.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term.

The sum of the first n terms is given by:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

In this problem, as the day is divided in two 12-hours period, the total will be twice the sum of the 12 elements of the following sequence:

{0, 1, 2, 3, ..., 11}

In which \(a_1 = 0, a_11 = 11, n = 12\).

Then:

\(T = 2\frac{12(0 + 11)}{2} = 12 \times 11 = 132\)

The clock chimes 132 times in a 24-h period.

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Answer:

k=-2

Step-by-step explanation:

11k - 16 - 2k = 17k

11k- 2k -17k=16

-8k=16

k=16/-8

k=-2

hope it helps u

Answer:

k = -2

Step-by-step explanation:

11k - 16 - 2k = 17k

9k − 16  =  17 k

− 8k − 16 = 0

− 8k = 16

k  = −2

The present value of $2,500 per year for 10 years discounted back to the present at 7 percent is $17,462.03.

To calculate the present value of an ordinary annuity, we can use the formula:

PV = A * [1 - (1 + r)^(-n)] / r,

where PV is the present value, A is the annual payment, r is the discount rate per period, and n is the number of periods.

In this case, the annual payment is $2,500, the discount rate is 7 percent (or 0.07 as a decimal), and the number of periods is 10 years. Plugging in these values into the formula, we can calculate the present value:

PV = $2,500 * [1 - (1 + 0.07)^(-10)] / 0.07 ≈ $17,462.03.

Therefore, the present value of $2,500 per year for 10 years discounted back to the present at 7 percent is approximately $17,462.03. This represents the amount of money needed in the present to be equivalent to receiving $2,500 per year for 10 years with a 7 percent discount rate.

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Answer:

I think B

Step-by-step explanation:

I think

Answer:

The equation has no solution.

Step-by-step explanation:

\(2(3x - 8) = 8x - 2x - 8 \\ \\ 2 \times 3x - 2 \times 8 = 6x - 8 \\ \\ 6x - 16 = 6x - 8 \\ \\ 6x - 6x = 16 - 8 \\ \\ 0 = 8 \: (which \: is \: absurd) \\ \\ the \: equation \: has \: no \: solution \\ \)

Answer: 4500 - 350m

Step-by-step explanation:

From the question, we are informed that each TTF site bought a new rope bridge for 4,500 and that TTF will make monthly payments of $350 until the bill is paid.

The equation for the unpaid balance B after m monthly payments will be:

= 4500 - 350m

where me = number of months

For example, if the number of months used is 4 months, the unique balance will be:

= 4500 - 350m

= 4500 - 350(4)

= 4500 - 1200

= 3300

Answer:

add all of the vegetables she bought

Step-by-step explanation:

Answer:

The graph f(x) was shifted 3 units to the right and shifted 2 units up to get the graph of g(x).

Step-by-step explanation:

From the original graph to the transformed one, we can see that the transformations (x - 3) and + 2 were added to the equation.

The (x - 3) means that the x-value of the vertex will increase by 3, meaning that the graph will shift 3 units to the right.

The +2 will increase the y-value of the vertex by 2, meaning that the graph will move up 2 units.

So, the graph of g(x) relates to f(x) as it is a transformation 3 units to the right and 2 units upwards.

Answer:

x = 4

Step-by-step explanation:

-7x - 8 = -10x + 4

-7x - 8 + 8 = -10x + 4 + 8

-7x = -10x + 12

-7x + 10x = -10x + 12 + 10x

3x = 12

\(\frac{3x}{3}\) = \(\frac{12}{3}\)

x = 4

Answer:

decimal = 1.20527

Step-by-step explanation:

\(\frac{a}{b} = (\frac{9}{7})^{-3} \div (\frac{3}{7})^1\)

  \(=(\frac{7}{9})^3 \times \frac{7}{3}\\\\\)

\((\frac{a}{b})^2 = ((\frac{7}{9})^3)^2 \times (\frac{7}{3})^2\\\\\)

      \(= \frac{7^6 \times 7^2}{9^6 \times 3^2}\\\\= \frac{7^8}{9^6 \times 9}\\\\=\frac{7^8}{9^7}\\\\=\frac{7^7 \times 7}{9^7}\\\\= 7 \times \frac{7^7}{9^7}\\\\= 7 \times (\frac{7}{9})^7\)

      \(=\frac{5764801}{4782969}\)      

Answer:

7 mi.

Step-by-step explanation:

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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A

Step-by-step explanation:

Took the test

The power series of the given diffrential equation can be, y' = ∑ naₙxⁿ⁻¹ . y ∑ n(n-1) aₙxⁿ⁻² and the result of wronkian is that the solutions are independent.

Because x₀ in this equation is an ordinary point, we seek a solution in the form of a power series about x₀.

y =∑aₙ xⁿ

Therefore the series for y and y'' will be given as,

y' = ∑ naₙxⁿ⁻¹ . y ∑ n(n-1) aₙxⁿ⁻²

The Wronskian is

W₍ₓ₁ , ₓ₂₎ = |    x1  x2     |   =  -3ₐ₀ₐ₁ e⁻³ˣ

               |    x1'  x2'    |

W₍ₓ₁ , ₓ₂₎ )(0) = -3ₐ₀ₐ₁

As long as neither initial value is 0, the two solutions are indeed independent.

A power series is a subset of an infinite series that represents a mathematical function as an infinite series that either converges or diverges. The convergence of a power series is the key phenomenon we are concerned with whenever we discuss power series. A power series' convergence is determined by the variable in the power series.

The power series of a single variable converges within the radius of convergence, which indicates that any variable values less than the radius tend to converge to a point within the radius of convergence.

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The outcome is random if we know the possible values it can have, but not which particular value it takes.

Randomness refers to the property of a process or system where the outcome is uncertain, unpredictable, and not predetermined. In a random process, we know the set of possible outcomes.

But we cannot determine which particular outcome will occur until it actually happens. For example, when flipping a fair coin, the possible outcomes are heads or tails.

But we do not know which one will come up until the coin is flipped. Randomness is a fundamental concept in probability theory and is used to model and analyze a wide range of phenomena.

Including games of chance, genetics, and quantum mechanics.

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We can load less than or equal to 285 number of 40 kg crates in the shipping container.

The inequality is like 13100 + 40x ≤ 24500

Given,

The weight of crates transported by a shipping container = 40 kg

The greatest weight that can be loaded into the container = 24500 kg

The weight of already loaded shipments in the container = 13100 kg

We have to find and solve an inequality that determines the number of 40 kg crates that can be loaded into the shipping container:

Lets take x as the number of 40 kg crates.

Therefore, weight of container = 40x

The weight should be less than or equal to the maximum weight that can be loaded into the container:

That is,

13100 + 40x ≤ 24500

Now, solve the inequality:

40x ≤ 24500 - 13100

40x ≤ 11400

x ≤ 11400/40

x ≤ 285

So,

We can load less than or equal to 285 number of 40 kg crates in the shipping container.

The inequality is like 13100 + 40x ≤ 24500

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Answer:

2 answers

Step-by-step explanation:

factor: 2π(hr+π)

evaluate: 2π(hr+π)

hope that helps

Answer:B 1/6,1/3,1/2

Step-by-step explanation:

1/6= 0.167, 1/3= 0.33, 1/2= 0.5

I'm sure that the answer is B. 1/6, 1/3, 1/2 :)

Answer:

-1 3/7 and - - 10/-7.

Step-by-step explanation:

Since when you simplfy - 1 3/7 you get -1.428571429 and when you simplfy - - 10/-7 you get 1.428571429 which also the same as simplifying the - 10/7.

Answer:

y-12

Step-by-step explanation:

y-12

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Answer:

18-22 0.169

23-27 0,324

28-32 0,265

33-37 0,243

Answer:

X intercept = -2.4 or -12/5
y intercept = 1.714 or 12/7