An A-frame picnic shelter at Lewis and Clark Historic Park in Iowa is shown. 40 degrees for one angle and 70 degrees for the other. What is the value of x?

Answer:

What Frank is only wrong because 2 is not an odd number but an even number. Gemma is wrong because 1 can't be a prime number because it can only be divided by itself.

Answer:

try your best

Step-by-step explanation:

The answer is 8,32

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

\( \huge \boxed{Answer \hookleftarrow}\)

=》1² + 3²

=》1 + 9

=》10

Answer:

28

Step-by-step explanation:

Hi! So what we're gonna want to do here is set up a system of equations. Lets say x = regular baskets and y = deluxe baskets. You would set up the system like this:

28x + 24y = 1,188

28x + 13y = 836

So since the number before the x is the same in both equations, we are going to want to cancel that out.

28x + 24y = 1,188

-1(28x + 13y = 836)

----------------

28x + 24y = 1,188

-28x - 13y = -836

Add the two equations together! There will be no x value :)

11y = 352

y = 32... The deluxe basket is going to cost $32

Put the y value into one of the equations to solve for x.

28x + 13(32) = 836

28x + 416 = 836

28x = 420

x = 15... The regular basket will cost $15

Hope this helps!

Answer:

30%

Step-by-step explanation:

Purchases:

Coat £20

Hat £15

Gloves for £5

Total amount of purchases: £20 + £15 + £5 = £40

Sales:

Coat at 50% profit: 150% × £20 = 1.5 × £20 = £30

Hat: £18

Gloves at a 20% loss: 80% of £5 = £4

Total amount of sales: £30 + £18 + £4 = £52

Amount of profit: £52 - £40 = £12

Percent of profit: £12 / £40 × 100% = 30%

The future value (A) is approximately 5610.2 for the given investment and annu $4000 for 5 years at 7% compounded annually

To find the compound amount and compound interest rate for the given investment, we can use the formula for compound interest:

(a) The compound amount in the account after 5 years can be calculated using the formula:

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

Where A is the compound amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal (P) is $4000, the interest rate ® is 7%, and the interest is compounded annually (n = 1), and the investment is for 5 years (t = 5), we can plug these values into the formula:

A = 4000(1 + 0.07/1)^(1*5)

A = 4000(1 + 0.07/1)^(1*5)

= 4000(1 + 0.07)^(5)

= 4000(1.07)^(5)

≈ 4000(1.402551)

≈ 5610.20

Therefore, the future value (A) is approximately 5610.2

Calculating this expression will give us the compound amount after 5 years.

(b) The compound interest earned can be calculated by subtracting the principal from the compound amount:

Compound interest = Compound amount – Principa

This will give us the total interest earned over the 5-year period.

By evaluating the expressions in (a) and (b), we can determine the compound amount and the compound interest earned for the given investment.

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There is a 95% chance that the mean length of all term papers lies between confidence limits (11.58,17.82) for the given data:

14, 20, 25, 10, 16, 8, 15, 12, 18, 9

We assume the length of paper has an approximately normal distribution.

Sample size = 10

The sample mean for the given data = 14.7

The standard deviation for the given data = 5.04

Critical value is obtained from standard normal distribution at the level of significance 0.05.

The critical value is 1.96.

The 95% confidence interval for the mean length of all term papers is calculated as follows:

P(14.7 - (1.96 x (5.04/√10)) < µ < 14.7 + (1.96 x (5.04/√10))) = 0.95

P(11.58 < µ < 17.82) = 0.95

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The height of the cell phone tower will be 138 feet.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 115-ft shadow.

Then the height of the cell phone tower will be

Let x be the height of the cell phone tower.

x / 2 = 115 x 12 / 20

    x = 69 x 2

    x = 138 feet

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The missing number would be 100.

e.g 400/2= 200

200/2= 100

100/2 = 50

50/2 = 25

The expressions that represent the derivative of the function y = f(x) are dy/dx, l'(x), and lim h->0 [f(x+h) - f(x)]/h. These expressions show the rate of change of y with respect to x at any given point on the function.

The other expressions, such as S(x) + f(h), xth dh/dx, lim 10 f(x) + f(h) x+h, and lim 1-0 F(x +h)-f(x)/h, are not equivalent to the derivative of the function. It is important to understand and use the correct expressions for the derivative in order to accurately analyze and interpret the behavior of a given function.

The expressions that represent the derivative of the function y = f(x) are:

1. lim (x→0) [f(x + h) - f(x)] / h
2. dy/dx
3. f'(x)
4. dh/dx

These expressions are used to describe the rate of change of the function y = f(x) with respect to the variable x. They can be used to find the slope of the tangent line to the curve at any given point or to analyze the behavior of the function.

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Answer:

The answer is D, your welcome

Answer:

The 2nd answer is correct.

Step-by-step explanation:

Between x = - 4 and x = - 1 the function is represented by a straight line (and is therefore lineair). Moreover, the value of y increases when moving to the right (and therefore the function is increasing).

Answer:  i) 1 - 9x² - 12x

               ii) 17 - 3x²

             iii) - 20 + 10x² - x⁴

Step-by-step explanation:

g(x) = 3x + 2       h(x) = 5 - x²

i) h(g(x))

  h(3x + 2) = 5 - (3x + 2)²

                  = 5 - (9x² + 12x + 4)

                  = 5 - 9x² - 12x - 4

                  = 1 - 9x² - 12x

ii) g(h(x))

   g(5 - x²) = 3(5 - x²) + 2

                 = 15 - 3x² + 2

                 = 17 - 3x²

iii) h(h(x))

   h(5 - x²) = 5 - (5 - x²)²

                 = 5 - (25 - 10x² + x⁴)

                 = 5 - 25 + 10x² - x⁴

                 = -20 + 10x² - x⁴

Answer:

the square root of 4 is 2

Answer:

1) is height(age)

2) should be shipping(distance)

3) g(8) = 28

4) f(3) = 18

Step-by-step explanation:

plug in 8 as x. 5(8)- 12 --> 40 -12 = 28.

plug in 3 as x. 2x² --> 2(3)^2--> 2(9) = 18.

Answer:

The second one

Step-by-step explanation:

The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters

Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.

We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:

Volume of the cylinder = 3(1,782)

Volume of the cylinder = 5,346 cubic centimeters

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Answer:

Step-by-step explanation:

The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters

What is the Volume of a Cylinder?

Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.

We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:

Volume of the cylinder = 3(1,782)

Volume of the cylinder = 5,346 cubic centimeters

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The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

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The value of x is -90. To find the value of x, you need to simplify the given equation by combining like terms. Here's how you can do it: Given equation: X-11+x+37+78+ the x terms together: X + x = 2x

Combine the constant terms together:- 11 + 37 + 78 + 76 = 180

Substitute the simplified expressions in the original equation: 2x + 180 = 0

To solve for x, you need to isolate x on one side of the equation. Here's how you can do it: Subtract 180 from both sides of the equation: 2x + 180 - 180 = 0 - 180

Simplify:2x = -180

Divide both sides by 2:x = -90. Therefore, the value of x is -90.

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Solving the problem as per a linear equation, the value of b is found to be 1/10.

A linear equation is a form of algebraic equation in which the highest value of a variable is always equal to 1. Such an equation forms a straight line when carved on a graph.

As provided, the given equation is,

1/b = 4/2b - 10

or, 1/b = 2/b - 10 (as 4/2 = 2 )

or, 1/b - 2/b = - 10

or, 1/b ( 1 - 2) = - 10

or, - 1/b = - 10, ( we are using cross multiplication )

so, b = 1/ 10 ( as a negative sign on both sides will be nullified)

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Based on the information provided, it can be concluded that Houa can drive 125 miles for 7 gallons of gas.

To determine the number of gallons this person can drive, just observe the graph presented and determine the value of Y (miles driven) when the value of x (gallons of gas) is 7. Based on this principle it can be concluded that for 7 gallons Houa can drive 125 miles.

This implies that if we compare both cars (Houa's and Lincoln's), the car that requires less gasoline is Lincoln's car.

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The given problem is about a person named Priya who started with $50 in her bank account and deposited $20 each week for 12 weeks. We need to find out after how many weeks she will have $250 in her bank account and also plot the given data on a graph, given that technology is required.Let's solve the given problem step by step:a) We can represent Priya's bank account after n weeks as follows:$50 + $20n

This is because she started with $50 and deposited $20 each week for n weeks.Now, to graph this equation, we can use any graphing calculator or software.

For example, we can use the Desmos Graphing Calculator, which is free and available online.To plot the given data, we need to set the domain as {0, 1, 2, 3, ..., 12} (for 12 weeks), and the range as {50, 70, 90, 110, ..., 290} (according to the equation). Then we can plot the points as follows:

After plotting the points, we can connect them with a straight line to get the graph of the equation.$$$$b)

To mark the point that represents the amount after 3 weeks, we need to find the value of the equation for n = 3, which is:$50 + $20(3) = $110This means that after 3 weeks, Priya will have $110 in her bank account.

We can mark this point on the graph as follows:$$$$$c) To find out after how many weeks Priya will have $250 in her bank account, we need to solve the following equation:$50 + $20n = $250Subtracting $50 from both sides, we get:$20n = $200Dividing both sides by $20, we get:n = 10

This means that after 10 weeks, Priya will have $250 in her bank account. We can mark this point on the graph as follows:$$$$$Therefore,

we can conclude that it will take Priya 10 weeks to have $250 in her bank account, and we can represent this data on a graph using graphing technology.

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[a] Answer: y = 20x + 50

Step-by-step explanation:

    We can write a linear equation to answer this part. Priya starts with $50 and adds $20 every week. Let y be the total amount of money in the bank account and x be the number of weeks passed. We will write a slope-intercept equation, where 20 is the slope and 50 is the y-intercept.

    y = 20x + 50

[b] Answer: (3, 110)

Step-by-step explanation:

    Next, we will use a graphing calculator as asked. Here I am using Desmos Graphing Calculator, it is free to use and online. We can type in our equation above, y = 20x + 50. See attached. Since she will not have negative weeks that she deposits, and she only deposits for 12 weeks, we will add {0 ≤ x ≤ 12} to our equation when we graph.

    Since x is the number of weeks passed, 20(3) + 50 = 110, giving is the point (3, 110).

[c] Answer: 10 weeks

Step-by-step explanation:

    Now, we need to find the point where she has $250 in her bank account. Since y is the total amount of money in her bank account, we can find where y = 250 on the graph.

    This is at (10, 250), or 10 weeks.

the weight of the substance after 28 years is 8 grams.

We have that the half life of a substance is defined as the time required for the substance to decrease by half

The formula for calculating the half - life of a material is given as;

\(N(t) = N0 (\frac{1}{2} )^\frac{t}{t^\frac{1}{2} }\)

Where

Substitute into the formula

N(t) = 128 × (0. 5) ^28/ 7

N (t) = 128 × ( 0. 5) ^ 4

N(t) = 128 × 0. 0625

N(t) = 8 grams

Thus, the weight of the substance after 28 years is 8 grams.

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a) 2-year subscriptions is approximately 20%.

b) 3-year subscriptions is approximately 29.56%.

c) 5-year subscriptions is approximately 41.33%.

To compute the rate of return on the investment for purchasers of different subscription lengths, we need to calculate the average annual cost of each subscription option.

a) 2-year subscriptions:

The cost of a 2-year subscription is $12.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $12.00 / 2 = $6.00

b) 3-year subscriptions:

The cost of a 3-year subscription is $16.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $16.00 / 3 = $5.33 (rounded to two decimal places)

c) 5-year subscriptions:

The cost of a 5-year subscription is $22.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $22.00 / 5 = $4.40

Now, to calculate the rate of return on the investment, we need to compare the average annual cost to the regular 1-year subscription rate of $7.50.

a) For 2-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $6.00 / $7.50) * 100% ≈ 20%

b) For 3-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $5.33 / $7.50) * 100% ≈ 29.56%

c) For 5-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $4.40 / $7.50) * 100% ≈ 41.33%

Therefore, the rate of return on the investment for purchasers of:

a) 2-year subscriptions is approximately 20%.

b) 3-year subscriptions is approximately 29.56%.

c) 5-year subscriptions is approximately 41.33%.

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The number of quarters or nickels Kevin and Randy Muise have in the jar is 27 and 38 respectively.

n + q = 65

0.05n + 0.25q = 8.65

From equation (1)

n = 65 - q

substitute n = 65 - q into (2)

0.05n + 0.25q = 8.65

0.05(65 - q) + 0.25q = 8.65

3.25 - 0.05q + 0.25q = 8.65

- 0.05q + 0.25q = 8.65 - 3.25

0.20q = 5.40

q = 5.40/0.20

q = 27

Substitute into (1)

n + q = 65

n + 27 = 65

n = 65 - 27

n = 38

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The total interest paid on the 25-year mortgage is given as $134,439.

If you borrow $120,000 at an APR of 7% for 25 years, you will pay $848.13 per month. If you borrow the same amount at the same APR for 30 years, you will pay $798.36 per month.

a. What is the total interest paid on the 25-year mortgage? $134,439.

Thus, it can be seen that the total interest paid on the 25-year mortgage is given as $134,439.

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Answer:

Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y= -x+5

y=mx+b

m=slope=-1

b=y-intercept=5

Answer:

m=-11(Using every step)

Step-by-step explanation:

Hope, this helps you.