kevin's age is 5 times kelly's age. together, their age is 84. how old is kevin?

Answer:

Option (1)

Step-by-step explanation:

Reflect triangle ABC over the y axis and then translate down.

There are 3,125 possible sequences if five jobs are in the queue for an operation, and there are no constraints on the order or repetition of jobs.

If there are no constraints on the order of the jobs in the queue, and each job can appear more than once in the sequence, we can calculate the number of possible sequences using the concept of permutations with repetition.

In this case, we have five jobs to consider. Let's label them as Job 1, Job 2, Job 3, Job 4, and Job 5. For each position in the sequence, there are five possible jobs that can be assigned to that position. Since there are five positions in total, we can multiply these possibilities together to get the total number of sequences.

To illustrate this, let's break down the calculation step by step:

For the first position, there are five possible jobs: Job 1, Job 2, Job 3, Job 4, and Job 5.

For the second position, there are also five possible jobs: Job 1, Job 2, Job 3, Job 4, and Job 5.

Similarly, for the third, fourth, and fifth positions, there are five possible jobs each.

Since each position has five possible choices, we can multiply these choices together:

5 * 5 * 5 * 5 * 5 = 5⁵ = 3125

Therefore, there are 3,125 possible sequences if five jobs are in the queue for an operation, and there are no constraints on the order or repetition of jobs.

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Answer:

I hope it helps u

Step-by-step explanation:

Let's solve your system by elimination.

15j+12k=18;5j+4k=6

Multiply the second equation by -3, then add the equations together.

(15j+12k=18)

−3(5j+4k=6)

Becomes:

15j+12k=18

−15j−12k=−18

Add these equations to eliminate j:

0=0

Answer:

Infinitely many solutions

Note:  Please Brain-list it ok dear!

If u have any doubt you can ask ok

Given :

Jame has six stamps in his stamp collection Roy has 12 stamps on his collection Jame adds two stamps to the collection.

To Find :

The ratio of stamps of James's and Roy's collection.

Solution :

Number of stamps in Jame's collection, n = 6 + 2 = 8.

Let, ratio of their stamp is R.

\(R = \dfrac{\text{Number of stamps James have}}{\text{Number of stamps Roy have}}\\\\R = \dfrac{8}{12}\\\\R = \dfrac{2}{3}\)

Therefore, the ratio of their stamps is 2 : 3 .

Answer:

it 407

Step-by-step explanation:

Answer:

25 miles

Step-by-step explanation:

$20-$10=$10

$10/0.4 =25

Answer:

b.

Step-by-step explanation:

Answer:

This is a geometric sequence, and the common difference/ratio is 0.5

Step-by-step explanation:

The difference between 4 and 2 is * 0.5, or 1/2, which is the same between 2 and 1. This means that we are dividing.

Remember that arithmetic means plus or minus, while geometric means multiplication or division. Because we are dividing, this is a geometric sequence.

The common difference/ratio in this is divided by 2, which is the same as being multiplied by 0.5.

Answer:

9,420 ft³

Step-by-step explanation:

The scale factor is 1.2, we know this because if you divide 12 by 10, you get 1.2, and using this information, you multiply the volume of the blue cylinder(7850) by 1.2, and that gives a volume of 9,420 feet.

Hope this helps!

$2.75

Step-by-step explanation:

when you multiply 75 but 3 you get 2.25 and subtracting that from 500 (5 dollars) you would get 2.75 back

Answer:

$2

Step-by-step explanation:

.75(4) = 3

5 - 3

Any self-adjoint operator T = L(V) has a cube-root, meaning there exists an operator S such that S³ = T. The proof involves using the spectral theorem for self-adjoint operators, which states that self-adjoint operators can be diagonalized with respect to an orthonormal basis of eigenvectors.

Let T = L(V) be a self-adjoint operator on a finite-dimensional inner product space V. By the spectral theorem for self-adjoint operators, there exists an orthonormal basis B of V consisting of eigenvectors of T. Let λ₁, λ₂, ..., λₙ be the corresponding eigenvalues associated with B.

Now, consider the diagonal matrix D = diag(λ₁^(1/3), λ₂^(1/3), ..., λₙ^(1/3)). We define an operator S on V such that S(vᵢ) = D(vᵢ) for each eigenvector vᵢ in B. Since the eigenvectors form a basis, we can extend S linearly to all vectors in V.

To show that S³ = T, we consider the action of S³ on an arbitrary vector v ∈ V. Using the linearity of S, we have S³(v) = S²(S(v)) = S²(D(v)) = S(D²(v)) = D³(v), where D²(v) represents the action of D² on v. Notice that D³(v) corresponds to T(v) since D³(v) = D(D²(v)) = D(T(v)).

Therefore, we have shown that there exists an operator S such that S³ = T, satisfying the cube-root property for self-adjoint operators.

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Answer:

4.75

Step-by-step explanation:

Divide 28.5 evenly with 6 because thee are 6 bottles. Then you receive 4.75

Hope this helps

The value of the given expression 3 x 2,746 is 8,238.

We are given the expression:-

3 x 2,746

We have to find the value of the given expression using place value.

According to the data given in the question, we can write,

In 2746,

The place value of 6 is 6

The place value of 4 is 4*10 = 40

The place value of 7 is 7*100 = 700

The place value of 2 is 2*1000 = 2000

Hence, we can write,

3*2746 = 3*2000 + 3*700 + 3*40 + 3*6 = 6000 + 2100 + 120 + 18 = 8,238.

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Answer:

9p⁸ + 12p⁴q⁴ + 4q⁸

Step-by-step explanation:

(3p⁴ + 2q⁴)²​ ⇒ The square of (3p⁴ + 2q⁴)

Squares are such bases that multiply itself two times.

⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)

Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)

⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)

⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸

We know the identity

So

\(\\ \rm\Rrightarrow (3p^4+2q^4)^2\)

\(\\ \rm\Rrightarrow (3p^4)^2+(2q^4)^2+2(3p^4)(2q^4)\)

\(\\ \rm\Rrightarrow 9p^8+4q^8+12p^4q^4\)

Done

Answer:

1) yes

2) no

3) no

4) yes

5) yes

6) no

6) 3 < x < 17

7) 3 < x < 15

The percentage of Measurements that are 124.4 or higher is approximately 0.99%.

In order to determine the percentage of measurements that are 124.4 or higher in a population of measurements that is approximately normal with a mean of 95 and a standard deviation of 15, we need to use the z-score formula.

The z-score formula is used to standardize a distribution so that it can be compared to a normal distribution with a mean of 0 and a standard deviation of 1.

The formula for calculating the z-score is: z = (x - μ) / σWhere:x is the measurement we want to standardize.μ is the population mean.σ is the population standard deviation.

The first step is to calculate the z-score for the measurement of 124.4:z = (124.4 - 95) / 15z = 2.2933The second step is to find the percentage of measurements that are 124.4 or higher using a standard normal distribution table. We look up the area to the right of the z-score of 2.2933 in the table.

The closest value in the table is 0.9901, which corresponds to a z-score of 2.33. We know that the area to the left of a z-score of 2.33 is 0.9901, so the area to the right of a z-score of 2.33 is:1 - 0.9901 = 0.0099

This means that approximately 0.99% of the measurements are 124.4 or higher.

Therefore, the percentage of measurements that are 124.4 or higher is approximately 0.99%.

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The dimensions of the region bounded by the curve, y² = x, the lines,  x = 1 and x = 4, and the x-axis exists the dimensions ABCD

Thus area of ABCD = \(\int_1^4 \mathrm{ydx} \\\)

\(& =\int_1^4 \sqrt{\mathrm{x}} \mathrm{dx} \\\)

\($& =\left[\frac{\mathrm{x}^{\frac{3}{2}}}{\frac{3}{2}}\right]_1^4 \\\)

\($& =\frac{2}{3}\left[(4)^{\frac{3}{2}}-(1)^{\frac{3}{2}}\right]\)

simplifying,

\($& =\frac{2}{3}[8-1] \\\)

Then we get,

\($& =\frac{14}{3} \text { units }\)

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To solve this, we can use the trigonometric function tangent.

Where ol is the length of the opposite leg to angle θ and al is the anjacent leg to angle θ.

By taking the tangent of the angle whose measure equals 30°, we get:

By solving for GL and replacing 40 for LM, we get:

Then, the length of GL equals 40√3/3

Answer:

x = -87/5 or in decimal form -17.4

Step-by-step explanation:

HOPE IT HELPS!

Twelve dozen is referred to as a gross (122 = 144) and twelve gross (123 = 1,728, the duodecimal 1,000) is referred to as a great gross, a word most frequently used when shipping or purchasing products in bulk. The equivalent of 120 or ten dozen is a great hundred, commonly referred to as a small gross.

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Answer: 18

Step-by-step explanation:

By the angle bisector theorem, \(\frac{x}{48} =\frac{12}{32} \longrightarrow x=\boxed{18}\)

The speaking turn, the adjacency pair, and the sequential implicativeness are the three fundamental components of conversation that conversation analysts identify.

The three essential elements of conversation that conversation analysts identify are the speaking turn, the adjacency pair, and the sequential implicativeness.

Mary: Hello! Mary is my name.

Andrew: Hey Mary I'm Andrew, and how are you? Nice to meet you.

Mary: Thank you; I just arrived from Memphis; I'm OK. , From where do you hail?

Andrew: You are a Memphis native? I'm a Cleveland native; is this also your first day of classes?

Mary: Indeed! I recently met someone from Cleveland at the front desk, and I'm a freshman.

Andrew: Really...? I don't know many Clevelanders who come here.

Clarissa is there, Mary, there she is! Let me introduce you to my pal, please come over!

Clarissa was undoubtedly a student of mine in high school, Andrew

Oh, Clarissa Hello Andrew Hey Mary Are you prepared for the semester to begin?

Mary: Obviously!

Andrew: I can't even find my dorm room, so not really.

The complete question is:

Write a conversation between two students who are meeting for the first time. Have them greet each other, ask each other how they are doing, ask each other where they are from, introduce a third person and say goodbye.

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Answer:

30 degrees

Step-by-step explanation:

All angles must add up to 180, so if you do 180-150, you will find your answer as 30 degrees.

Answer:

The answer is B

Step-by-step explanation:

The function is represented by the given graph is f(x)=|x-7|-3. Therefore, option B is the correct answer.

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

From the given graph, the vertex is (7, -3).

x-intercept(s): (10,0),(4,0)

y-intercept(s): (0,4)

We know that, general form of the absolute equation is f(x)=a|x-h|+k.

Here, equation is f(x)=|x-7|-3

Therefore, option B is the correct answer.

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Given:

To solve the expression, follow the steps below.

Step 01: Subtract 14w from both sides.

Step 02: Subtract 6 from both sides.

Step 03: Divide both sides by 3.

Answer: w = -7.

In general, different refrigerants should not be mixed or recovered into the same cylinder.

Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.

When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.

The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.

To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.

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The number of different refrigerants that may be recovered into the same cylinder is zero.

When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.

The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.

Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Answer:

$8

Step-by-step explanation:

You divide $72 by 9 to get the money for each lawn-mowing job.

72/9 = 8

She charges $8 for each lawn she mows.

Answer:

Step-by-step explanation:

Hooke's Law states that the distance a spring stretches (or compresses) from its natural length varies directly as the applied force on the spring. Mathematically, this can be expressed as:

F = kx

Where F is the force applied, x is the distance the spring stretches (or compresses), and k is the spring constant.

To solve the given problem, we need to find the value of k first, using the given information:

265 N = k * 0.15 m

k = 265 N / 0.15 m

k = 1766.67 N/m

(a) To find the force that stretches the spring 0.2 meter, we can use Hooke's Law again:

F = kx

F = 1766.67 N/m * 0.2 m

F = 353.33 N

Therefore, a force of 353.33 N stretches the spring 0.2 meter.

(b) To find how far a force of 190 N stretches the spring, we can rearrange Hooke's Law:

x = F/k

x = 190 N / 1766.67 N/m

x = 0.11 m

Therefore, a force of 190 N stretches the spring 0.11 meter.