A wage sheet of a small business shows one employee’s details. The employee is paid $40 an hour for overtime hours where they work more than their usual 26 hours.

Step-by-step explanation:

all these are the answers of your question

hope it is helpful to you

Answer:

y-(-1)=-2(x-(-4))

Step-by-step explanation:

To find the minimum value of the expression y=15(x-25)^2+130, we can set the derivative of the expression equal to 0 and solve for x. This will give us the value of x that corresponds to the minimum value of y.

The derivative of the expression is given by:

dy/dx = 30(x-25)

Setting this equal to 0, we get:

0 = 30(x-25)

Solving for x, we get:

x = 25

Substituting this value into the original expression for y, we get:

y = 15(25-25)^2+130 = 130

Therefore, the minimum value of y is 130, which is achieved when x=25.

Answer

where the y-intercept is (0, -4).

Explanation

The equation of the line can be given in the slope-intercept form:

where m is the slope, and b is the y-intercept.

The slope m can be calculated with the following formula:

As we are given two points, (4, -8) and (-7, 3), we can replace the values as follows and simplify:

Thus, our slope is:

Then, we can replace any of the points given in the equation to find the y-intercept. For example, choosing (4, -8):

Solving for b :

Finally, our equation is:

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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14/8 * 4/5 = 56/40 = 7/5

Answer:

12x+10

Step-by-step explanation:

10x+2(x+5)

10x+2x+10

12x+10

Answer:

You got it right it is the second option

Step-by-step explanation:

I'm trying to level up and need 3 more brainliest so if possible can you mark me brainliest if not that's ok! :)

Answer: the last one

Step-by-step explanation:

If the radius is 3 cm, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm. The correct option is B.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

We are given that the volume of the cylinder is 637 cm³ and the radius is 3 cm. Substituting these values into the formula, we get:

637 = π(3²)h

Simplifying:

637 = 9πh

h = 637 / (9π)

h ≈ 7.06

Thus, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm.

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if you're multiplying then the answer is 12^5

when multiplying you add exponents

The following are the series test to show series are absolute convergence ,Ratio Test ,Limit Comparison Test, Root Test.

The following series tests can be used to show that a series converges absolutely,

Ratio Test

Root Test

Limit Comparison Test

The Alternating Series Test cannot be used to show absolute convergence, as it only applies to alternating series.

The Test for Divergence is used to show that a series diverges, but not whether it converges absolutely.

The Alternating Series Test and Test for Divergence do not test for absolute convergence, but rather conditional convergence.

They cannot be used to show that a series converges absolutely.

Therefore, series used to show absolute convergence are given by

Ratio Test

Limit Comparison Test

Root Test

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We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

All the three locations has been checked below.

Using Pythagoras theorem,

12² = 8² + x²

144 - 64 = x²

x= √80

x=8.9

Now, using Trigonometry

tan F = P/B

tan F= 8/8.9

and, sin F = P/H

      sin F= 8/12 = 2/3

and, cos F = B/H

        cos F= 12/8.9

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I think the answers 3048_&8_9_)_)_

This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.

Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

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Answer: $2.67

Step-by-step explanation:

$8.90 - $6.23 = $2.67

Brainliest? Im just trying to get to a higher rank

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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Answer:

30 days

Step-by-step explanation:

Look at you z-score table to find the value closest to .6400  (64%)

 my table shows this corresponds to z-score + .36   standard deviation ABOVE the mean of 22 days

    .36  * 22 = ~ 8 days

  added to the mean   8  + 22 = 30 days      

The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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Answer:To solve this problem, we need to use the formulas for the area and perimeter of a triangle.

Let's start by using the formula for the area of a triangle:

Area = (base x height) / 2

where base and height are the length and height of the triangle's base, respectively.

Let's assume that the base of the triangle is x meters, and the height is y meters. Then we have:

Area = (x*y)/2 = 0.45 m²

Solving for y, we get:

y = (2*0.45)/x

y = 0.9/x

Now, let's use the formula for the perimeter of a triangle:

Perimeter = a + b + c

where a, b, and c are the lengths of the three sides of the triangle.

Since we know that the perimeter is about 325 cm, we can assume that the three sides are close to each other in length. Let's assume that each side has a length of 325/3 = 108.33 cm.

Converting to meters, we get:

a = b = c = 108.33/100 = 1.0833 m

Now, we can use the formula for the area of a triangle again to solve for x:

Area = (base x height) / 2

0.45 = (x * 0.9/x) / 2

0.9 = x²

x = √0.9 = 0.9487 m

Therefore, the base of the triangle is approximately 0.9487 meters, and the height is approximately 0.9/0.9487 = 0.9487 meters.

So the triangle has sides of length 1.0833 meters and a base of length 0.9487 meters, which gives us a perimeter of approximately 3.215 meters (rounded to three decimal places).

Step-by-step explanation:

Answer:

h+23=75

Step-by-step explanation:

This is true because x is basically h, and if its more then you add.

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

10

Step-by-step explanation:

30ft -20ft=10ft

If you have any specific questions or need assistance, feel free to ask, and I'll do my best to provide a helpful response within the scope of my training

As an AI language model my understanding of subjects and skills is based on the information and data available to me up until my last training update in September 2021. I can provide accurate and comprehensive responses within the limits of my training, but please keep in mind that I may not have knowledge of events or developments that have occurred after that cutoff date.

With a wide range of general knowledge, I can understand and generate responses on various topics such as science, history, literature, mathematics, and more. I can also assist with specific skills like writing, editing, brainstorming ideas, offering explanations, and providing recommendations.

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.

Answer:

145

Step-by-step explanation:

So lets recall what a supplementary angle is. A suppelemenatry angle is  two angles that make up 180 degrees.(half circle)

This is different from a complenenary angle with is two angles that make up 90 degrees(quarter circle)

Ok, so we can write the equation for the supplementary angle as:

35+b=180

Lets subtract the angle we knwo from both sides:

b=145

Now we know that B(second angle) must be equal to 145 degrees.

Hope this helps!

A fraction means division.

To find the decimal equivalent of a fraction, divide the top number by the bottom number.

Answer:

x + 50° + 70° = 180°

or, x + 120° = 180°

or, x = 180° - 120°

•°• x = 60°

Step-by-step explanation:

x + 50° + 70° = 180° ( Due to Straight line )

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  value is  \(v(3) =  29.4 \  m/s\)

Step-by-step explanation:

From the question we are told that

    \(s(t) =  -4.9t^2 + 500\)

And  

    \(\lim_{t \to a}  \frac{s(a) - s(t)}{a-t}\)

Generally s(t) at t = a is mathematically evaluated as

      \(s(a) =  -4.9a^2+ 500\)

So

    \(s(a) - s(t) =  -4.9a^2 + 500 - ( -4.9t^2+500)\)

     \(s(a) - s(t) =  -4.9a^2 + 500 +4.9t^2-500)\)

      \(s(a) - s(t) = 4.9(t^2 - a^2)\)

Thus the velocity is represented as

     \(v(t) =\lim_{t \to a}  \frac{s(a) - s(t)}{a-t} \equiv \lim_{t \to a} \frac{4.9(t^2 -  a^2 )}{ a-t}\)

=>     \(v(t) = \lim_{t \to a}  - 4.9(a + t )\)

=>      \(v(t) = -4.9 (a + a )\)

=>      \(v(t) = -9.8a\)

Now at  t =  3

=>  \(v(3) = -9.8 (3)\)

=>   \(v(3) =  29.4 \  m/s\)