The parabola shown below has vertex at the origin, and passes through the point (4,5). The shaded region is bounded by the parabola it’s tangent line at the point (4,5), and the x axis. Find its area

Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)

For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. but Cole’s rocket doesn't meet the requirement for launch.

The volume of the cylinder is the product of the height, pie, and square of the radius.

The volume of the cylinder = \(\pi* r^2 *h\)

Part A

The total length of the assembled rocket will be the length of the cone and the cylinder.

The total length of the assembled rocket  = 25 + 3 = 28cm

Part B

The volume of the rocket is the combined volume of the cone and cylinder.

=  4/3 × 3.14 × 16 × 28

= 1875.62 cubic cm

To convert cm into pounds

1875.62 cubic cm = 4.135 pound

Part C

If Cole’s rocket parts are made of aluminum weighing 0.006 pounds per cubic centimeter.

Then 1875.62 cubic cm × 0.006

= 11.253

For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. but Cole’s rocket doesn't meet the requirement for launch.

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The median, mean, range and mode will be 6, 5.4, 9 and 7.

What is median?

The median is the middle number in the data set when the data set is written from least to greatest.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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Answer:

924.95 %

Step-by-step explanation:

9.2495 x 100% = 924.95 %

Answer: Area 6 Perimeter 12

Step-by-step explanation:

First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6

Answer:

The answer for P=12cm,A=6cm²

Step-by-step explanation:

Perimeter of triangle=a+b+c

P=5+3+4

P=12cm

Area of triangle =1/2bh

A=1/2×3×4

A=2×3

A=6cm²

Answer:

Step-by-step explanation:

your questions may have left out what the slope is.. but.. what ever it is.. just use m =  ( your number )

and plug it into this slope-intercept formula  [ y = mx +b }

y = mx -56 ..  just plug your slope into the variable m

Answer:

Step-by-step explanation: Use the variables “a” for adults and “c” for children.

Answer:

The area of the rectangle is increasing at a rate of 54 cm2/s.

Step-by-step explanation:

\(a_n = a_1 + (n - 1)d \\ a_n = 200 + 50(n - 1) \\ a_2 = 200 + 50(2 - 1) = 250\\ a_3 = 200 + 50(3 - 1) = 300 \: \\ a_4 = 200 + 50(4 - 1) = 350 \\ a_5 = 200 + 50(5 - 1) = 400 \\ a_6 = 200 + 50(6 - 1) = 450\)

\( \: \: u_{n } = 200(1 + 0.1) {}^{n - 1} \\ u_{n } = 200(1.1) {}^{n - 1} \\ \)

\(u_1 = 200(1.1) {}^{1 - 1} = 200 \\ u_2 = 200(1.1) {}^{2 - 1} = 220 \\ u_3 = 200(1.1) {}^{3 - 1} = 242 \\ u_4 = 200(1.1) {}^{4 - 1} = 266.2 \\ u_5 = 200(1.1) {}^{5 - 1} = 292.82 \\ u_6 = 200(1.1) {}^{6 - 1} = 322.102\)

Answer:

The answer is 0

Step-by-step explanation:

Hopefully this helps you

pls mark brainlest

Answer:

It should be (-5,0)

Step-by-step explanation:

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Answer:

2

Step-by-step explanation:

Calculate the prime factors of 8 and 10, than find the greatest common factor (greatest common divisor (GCD)) of the numbers by matching the biggest common factor of 8 and 10.

8 = 1, 2, 4, 8

10 = 1, 2, 5, 10

The Greatest Common Factor of both numbers is 2,...

Chow,...!

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

28.57%

Step-by-step explanation

I added all the animals together and got the precentage of rabbits

Hopefully its right :)

The positions will be filled in 56,280 ways

There are 11 qualified candidates applying for 7 positions. The order of the positions does not matter. after choosing a position the number of persons drop so we solve as follows

For the position of president

11 combination 1 = 11

For the position of secretary

10 combination 1 = 10

For the position of treasurer

10 combination 1 = 10

For the position of three directors

8 combination 3 = 56 ways

the total number of ways to fill these positions is

11 x 10 x 9 x 56 = 56,280.

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Answer:

A  

Step-by-step explanation:

x = -3 goes straight through -3, 7 vertically

The answer fam is........... 5 To find the distance between (10,5) and (6,2) use the "Distance formula"

Answer:

the answer will be 75.2 to the nearest whole number.

Answer:

675

There you go! Hope this helps.

The answer of the given question based on Statistics to find minimum monthly premium payments is option D) Plan 2, since it has lower monthly premium payments.

Probability is  measure of  likelihood or chance of an event occurring. It is expressed as  number between 0 and 1, where 0 indicates an impossible event and 1 indicates  certain event

Assuming that the coverage details are similar, we can compare the monthly premium payments for each plan based on the different categories of coverage:

Individual: Plan 1 has a monthly premium of $87.32, while Plan 2 has a monthly premium of $11.77. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Spouse: Plan 2 has a monthly premium of $735.00, while Plan 1 has a monthly premium of $890.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Child: Plan 2 has a monthly premium of $606.00, while Plan 1 has a monthly premium of $750.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Family: Plan 2 has a monthly premium of $1,400.00, while Plan 1 has a monthly premium of $1,600.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Based on these comparisons, we can see that Plan 2 has a lower monthly premium for all categories of coverage. Therefore, the answer is option D: Plan 2, since it has lower monthly premium payments.

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\(\displaystyle\bf\\\frac{x^3+y^3}{x+y}=?\\\\ ~~~~~~~~~~~We~use~the~formula:~~~~x^3+y^3=(x+y)(x^2-xy+y^2)\\\\\frac{x^3+y^3}{x+y}=\frac{(x+y)(x^2-xy+y^2)}{x+y}=\boxed{\bf x^2-xy+y^2}\\\\We~simplified~the~fraction~with~(x + y)\)

Answer:

7/25

Step-by-step explanation:

Of means multiply in math (most of the time).

So multiply.

2/5 x 7/10 = 14/50 divided by 2/2 = 7/25

Answer:

C

Step-by-step explanation:

A and B are wrong because 37 is prime. 31 is prime and 33 is divisible by 11 and 3 so C

The Operating income is $172,500.

To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.

a. Margin of Safety:

Margin of Safety = Actual Sales - Break-even Sales

Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:

Margin of Safety = $1,100,000 - $750,000 = $350,000

Therefore, the margin of safety is $350,000.

b. Margin of Safety as a Percentage of Sales:

Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100

Using the values from the previous calculations:

Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%

Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.

c. Contribution Margin Ratio:

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

To calculate the contribution margin, we need to subtract variable costs from sales:

Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000

Using the values, we can calculate the contribution margin ratio:

Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%

Therefore, the contribution margin ratio is approximately 41.36%.

d. Operating Income:

Operating Income = Sales - Variable Costs - Fixed Costs

Using the values provided:

Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500

Therefore, the operating income is $172,500.

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Answer:

c

Step-by-step explanation:

The answer is c

Answer:

5/8 * ? = 2 1/2

Step-by-step explanation:

x is the height of tower when finished.

We know that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 off the height of the tower she wants to build.

This means that 5/8 of x equals 2 and 1/2 Let us represent this information in an equation.

5/8 × x = 2 and 1/2

Convert our given mixed fraction into improper fraction.

5/8 × x = 5/2

Multiply both sides of our equation by 8/5.

(8/5 × 5/8) × x = (5/2 × 8/5)

x = 8/2

x = 4

4 feet