Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. Write an equation to represent this situation.

Question: "Which of the following assessment types has the greatest effect on your overall grade?"

Answer: "Out of all the assessment types, 'tests' have the greatest effect on your overall grade as a student. Hence, Option D would be the best choice."

The  assessment types has the greatest effect on your overall grade is test.

The following information should be considered;

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The amount of money we can make is $0.05.

We have,

P= $710

R= 5.1%

T= 12 year

Compounded Continuously:

A = P\(e^{rt\)

A = 710.00(2.71828\()^{(0.051)(12)\)

A = $1,309.32

Compounded Daily:

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

A = 710.00(1 + 0.051/365\()^{(365)(12)\)

A = 710.00(1 + 0.00013972602739726\()^{(4380)\)

A = $1,309.27

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Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Answer:

15k+88-8k

7k+88 is the solution

Answer:

Look below

Step-by-step explanation:

THe screenshot is proof

The 46th term is 324.

Answer:

Im pretty sure its 27

Step-by-step explanation:

3×3×3

(Oop i did it wrong lolll)

The equation to represent Syreeta's situation can be written as 14x + 23 = 65, where x represents the number of CDs she wants to buy. This equation shows that the total cost of CDs and the DVD must equal $65.

To represent Syreeta's situation, we need to use an equation that relates the cost of the CDs and DVD to her total budget. We know that each CD costs $14, so the total cost of x CDs can be written as 14x. We also know that she wants to buy a DVD that costs $23. Therefore, the total cost of the CDs and the DVD can be written as 14x + 23. This expression must equal her budget of $65, so we can write the equation as 14x + 23 = 65.

To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 23 from both sides to get 14x = 42. Then, we divide both sides by 14 to find that x = 3. This means that Syreeta can buy 3 CDs and 1 DVD with her $65 budget.

In conclusion, the equation to represent Syreeta's situation is 14x + 23 = 65. By solving for x, we find that she can buy 3 CDs and 1 DVD with her $65 budget. This equation can be used to solve similar problems where the total cost of multiple items needs to be calculated.

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Answer

Step-by-step explanation:

Answer:

m∠W = 125°

m∠X = 55°

m∠Z = 55°

Step-by-step explanation:

The shape is parallelogram WXYZ. m∠Y = 125.

A parallelogram is a quadrilateral shape in which both opposite sides and opposite angles are equal to each other. The diagonals of a parallelogram bisect each other. Also consecutive angles in a parallelogram are supplementary.

Therefore in parallelogram WXYZ:

m∠Z + m∠Y = 180° (Consecutive angles in a parallelogram are supplementary)

m∠Z + 125 = 180

m∠Z = 180 - 125

m∠Z = 55°

m∠W = m∠Y (Opposite angles are equal)

m∠W = 125°

m∠W + m∠X = 180° (Consecutive angles in a parallelogram are supplementary)

m∠X + 125 = 180

m∠X = 180 - 125

m∠X = 55°

(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.

(b) Consumer surplus ≈ 434

(c) 434 dotars (d)  -1155 dotars.

To calculate the deadweight loss, we need to find the area between the supply and demand curves from the equilibrium quantity to the quantity \(x_C\).

To find the equilibrium point, we need to set the demand and supply functions equal to each other and solve for the quantity.

Demand function: D(x) = 61 - x
Supply function: S(x) = 22 + 0.5x

Setting D(x) equal to S(x):
61 - x = 22 + 0.5x

Simplifying the equation:
1.5x = 39
x = 39 / 1.5
x ≈ 26

(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.

To find the point (\(x_C\), \(P_C\)) where the price ceiling is enforced, we substitute the given price ceiling value into the demand function:

P_C = $30
D(\(x_C\)) = 61 - \(x_C\)

Setting D(\(x_C\)) equal to \(P_C\):
61 - \(x_C\) = 30

Solving for \(x_C\):
\(x_C\) = 61 - 30
\(x_C\) = 31

(b) The point (\(x_C\), \(P_C\)) is (31, $30).

To calculate the new consumer surplus, we need to integrate the area under the demand curve up to the quantity \(x_C\) and subtract the area of the triangle formed by the price ceiling.

Consumer surplus

\(=\int[0,x_C] D(x) dx - (P_C - D(x_C)) * x_C\\=\int [0,x_C] (61 - x) dx - (30 - (61 - x_C)) * x_C\\=\int [0,31] (61 - x) dx - (30 - 31) * 31[61x - (x^2/2)]\)
evaluated from

0 to 31 - 31[(61*31 - (31²/2)) - (61*0 - (0²/2))] - 31[1891 - (961/2)] - 311891 - 961/2 - 311891 - 961/2 - 62/2(1891 - 961 - 62) / 2868/2
Consumer surplus ≈ 434

(c) The new consumer surplus is approximately 434 dotars.

To calculate the new producer surplus, we need to integrate the area above the supply curve up to the quantity \(x_C\).

Producer surplus \(= (P_C - S(x_C)) * x_C - \int[0,x_C] S(x) dx(30 - (22 + 0.5x_C)) * x_C - \int[0,31] (22 + 0.5x) dx(30 - (22 + 0.5*31)) * 31 - [(22x + (0.5x^2/2))]\)
evaluated from 0 to 31(30 - 37.5) * 31 - [(22*31 + (0.5*31²/2)) - (22*0 + (0.5*0²/2))](-7.5) * 31 - [682 + 240.5 - 0](-232.5) - (682 + 240.5)(-232.5) - 922.5-1155
(d) The new producer surplus is -1155 dotars. (This implies a loss for producers due to the price ceiling.)

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Answer:

15000 square feet.

Step-by-step explanation:

From the statement we have that it would be 2 times the length and 3 times the width due to the divisor, therefore, the perimeter would be equal to:

600 = 2 * l + 3 * w

300 = l + 3/2 * w

we solve for w:

l = 300 - 3/2 * w

in addition the area is equal to:

A = w * l

replacing:

A = w * (300 - 3/2 * w)

A = 300 * w - 3/2 * w ^ 2

We derive:

A '= 300 - 6/2 * w

A '= 300 - 3 * w

we equal 0:

300 - 3 * w = 0

w = 300/3

w = 100

replacing and we calculate l:

l = 300 - 3/2 * 100

l = 150

A = 100 * 150

A = 15000 ft ^ 2

The largest area would be 15000 square feet.

Answer:

4.5kg :7kg

Step-by-step explanation:

2 kg 250g convert in kg is 2.25kg

and 3kg 500g convert in kg is 3.5kg

2.25/3.5

solve the divide

No, the claim of 75 percent satisfaction is not supported by the data provided.

To determine if the claim of 75 percent satisfaction is true, we need to compare the number of customers who had their complaints resolved satisfactorily to the total number of customers.

In this case, we have 9 out of 14 customers who had their complaints resolved satisfactorily.

To calculate the percentage of satisfaction, we divide the number of customers with resolved complaints by the total number of customers and then multiply by 100.

Number of customers with resolved complaints = 9
Total number of customers = 14

Percentage of satisfaction = (9/14) * 100 ≈ 64.29%

The actual percentage of satisfaction based on the given information is approximately 64.29%.

Therefore, the claim of 75 percent satisfaction is not supported by the data provided.

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Answer:

m<A = 84

Step-by-step explanation:

1. Approach

Using the same-side interior angles are supplementary angles theorem, one can form an equation and solve for the unknown value (x). Then one can substitute the answer back into the expression that is given, and solve for the m<A.

2. Solve for (x)

When two parallel lines are intersected by a transversal line, then the same-side interior angles are supplementary, meaning that their angle measures add up to 180 degrees. Using this information, one can form an equation and solve for the value of (x).

m<A + m<B = 180

( 5x + 34 ) + ( 2x + 76 ) = 180

Simplify; combine like terms,

7x + 110 = 180

Inverse operations,

7x + 110 = 180

     -110    -110

7x = 70

/7    /7

x = 10

3. Solve for m<A

Now that one has the value for the parameter (x), one can substitute this into the equation that has been given for (m<A), and solve for the value of (m<A).

m<A = 5x + 34

5(10) + 34

50 + 34

84

The answer is \(0.5544135^{\circ}$\)

given data

\({mean}(\mu)=185^{}$ \\Variance $\left(\sigma^{2}\right)=244$\)

\(\begin{aligned}&\sigma=\sqrt{244} \\&\sigma=15.6205\end{aligned}\)

\(\frac{P(x < 184)}{p(x < 203)}\)

\(\Rightarrow \frac{p\left(\frac{x-\mu}{\sigma} < \frac{184-185}{15.6205}\right)}{P\left(\frac{x-\mu}{\sigma} < \frac{203-185}{15.6205}\right)}\)

\(\Rightarrow \frac{P(z < -0.064)}{P(z < 1,1523)}\) (From z table)

\($\Rightarrow \frac{p(z < -0.06)}{p(z < 1.15)}$\)

\($\Rightarrow \quad \frac{0.47608}{0.87493}$\)

\($\Rightarrow 0.5544135^{\circ}$\)

\(=0.5544135^{\circ}$\)

What is analogue signal ?

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Answer:

8 A

Step-by-step explanation:

V = 20 volts

R = 2.5 ohms

I=?

By Ohm's Law

\( \because \: I \: = \frac{V}{R} \\ \\ \therefore \: I= \frac{20}{2.5} = \frac{200}{25} = 8 \: Ampere\)

Answer:

it could be X in this type of case

Mia's error is in step 4

Factorization involves splitting a function into several factors

The steps in factorizing the expressions are:

Step 1: x^2 + 6x - 2x  -12

Step 2: (x^2 + 6x) - (2x + 12)

Step 3: x(x + 6) - 2(x + 6)

Step 4: (x + 6)(x + 2)

From the step 3 to step 4, the resulting expression should be

(x + 6)(x - 2)

However, the step 4 of the expression is (x + 6)(x + 2)

The expected expression and the actual expression in step 4 are different.

Hence, Mia's error is in step 4

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(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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Answer:

Point R

Step-by-step explanation:

did test and Quizlet

Answer:

The answer is point R

Step-by-step explanation:

The equation of the straight line passing through the points (5, -5) and (-3, 7) is 3x + 27 - 5 = 0.

To find the equation of a straight line passing through two given points, we use the point-slope form of the equation of a line:

                             =>  (y - y₁) = m(x - x₁)

Where (x₁, y₁) is one of the given points, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Here we have

The straight  line passing through (5,-5) and (-3,7)​

From the given points the slope of the line can be found as follows

m = (y₂ - y₁)/(x₂ - x₁) = (7 - (-5))/(-3 - 5) = 12/-8 = - 3/2

Using the above formula,

=> y - (-5) = -3/2 (x - 5)

=> y + 5 = -3x/2 + 15/2

=> 2(y + 5) = - 3x + 15

=> 2y + 10 = -3x + 15

=> 3x + 27 - 5 = 0

Therefore,

The equation of the straight line passing through the points (5, -5) and (-3, 7) is 3x + 27 - 5 = 0.  

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/_ b = /_ e

2x + 31 = 7x - 24

5x = 55

x = 11

Answer:

I would say the answer is 5.03m^2

Step-by-step explanation:

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

Answer:

a

Step-by-step explanation:

Given:

Granny Apples charge $12 for 6 pounds of apples.

Wilson' Apples charges $15 for 5 pounds of apples.

To find:

Which apple company provides a better deal.

Solution:

We need to compare unit price of both companies.

\(\text{Unit price}=\dfrac{\text{Total price}}{\text{Number of units}}\)

Unit price of Granny Apples,

\(\text{Unit price}=\dfrac{\$12}{6}\)

\(\text{Unit price}=\$2\)

Unit price of Wilson Apples,

\(\text{Unit price}=\dfrac{\$15}{5}\)

\(\text{Unit price}=\$3\)

Since, per unit price of Granny Apples is less than Wilson Apples, therefore Granny Apples provides a better deal.

Answer:

y=-5

Step-by-step explanation:

Answer:

-5 ± √5² - 4 · 1 · 4

         2 · 1

Step-by-step explanation:

ax²+bx+c=0 (quadratic equation)

x= -b ± √b² - 4ac

           2a

a= 1

b= 5

c= 4

-5 ± √5² - 4 · 1 · 4

            2 · 1

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer: Greater than

Step-by-step explanation: 0.012 is 12 hundreths

0.12 is 12 tenths

Answer:Angle X = 45 degrees

Step-by-step explanation: (2x-12)+(2x+17)+(9x-7) = 180

X = 14

Angle X = 2(14)+17 = 45

Answer:

2 is the correct answer because 14 ÷7 is 2

Answer:

the answer in your question is √245

15.6524 ≈ 15.7

Step-by-step explanation:

\(x = \sqrt{{14}^{2} + {7}^{2} } \: = 15.6524 = 15.7\)