help pls thank you very much!

Answer:

358 feet²

Step-by-step explanation:

Answer:

358

Step-by-step explanation:

A= 12 x 5

= 60

x 2 = 120

A= 5 x7

= 35

x 2 = 70

A = 12 x 7

= 84

x2 =168

(I multiply by 2 because 2 sides are equall)

Add:

120 + 70 + 168 = 358

Hope this helps!

A type 1 error is the rejection of a null hypothesis when it is infact true.

Hence, the correct option is option C

Answer:

6787.8

explanation:

740.16 + 3047.16 + 2149.76 + 850.72 = 6787.8

i dont actually know if this is it so sorry if not

Answer:

64,890

Step-by-step explanation:

105×3 =315

103×2= 206

315×206= 64,890

Answer:

6.489× 10⁴

Step-by-step explanation:

(3×105)×(2×103)

315× 206

64,890

6.489×10⁴

The type of sampling used in this example is B) Cluster sampling.

In this case, an education researcher randomly selects 38 schools from one school district and interviews all the teachers at each of the 38 schools.
Cluster sampling involves dividing the population into separate groups, or clusters, and then randomly selecting entire clusters to be included in the sample. In this case, the schools are the clusters, and the researcher has randomly chosen 38 of them to interview all the teachers within those schools.

The type of sampling used in this example is B) Cluster sampling.

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In 3 hour  Mr. Reed can presents 15 presentations.  The division equation and a multiplication equation are 3 ÷ 1/5 =15 and 3 × 5 = 15 respectively.

What is an equation of division?

Mathematical equations involving the division operator are referred to as division equations. An equals sign appears in a division equation in its entirety. The division operator and the numbers that are being divided will both be on one side. The other side displays the result of the division.

The 3 large rectangles represent the 3 hours.

Each presentation is 1/5 hour so each rectangle is divided into 5 equal sections.

From the model you can write the division equation: 3 ÷ 1/5 =15

You can also write the multiplication equation: 3 × 5 = 15

Both equations show 15 projects are presented in 2 hours.

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Finally, the highest and lowest amounts of the bill, tip, and total should be found.  

Bill: 70.29 43.58 88.01 97.34 32.98 49.72Tip: 10.00 5.50 10.00 16.00 4.98 8.00

We are supposed to find the total bill, tip, and total amount for each of the 6 restaurants given in the question. We need to add the bill and tip to get the total bill:1.

Total bill for first restaurant= $80.29 (70.29+10.00)2. Total bill for second restaurant= $49.08 (43.58+5.50)3. Total bill for third restaurant= $98.01 (88.01+10.00)4.

Summary :In summary, the total bill, tip, and total amount for each of the 6 restaurants were found. Then, the average amounts for bill, tip, and total were calculated. Finally, the highest and lowest amounts of bill, tip, and total were determined.

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I don't know sorry.

Sorry!

The number of monthly payments that need to be made for a 2 ½ -year loan is 30. This is because there are 12 months in a year and 2 ½ years are equal to 30 months.

It's important to know the number of payments needed to be made when taking out a loan to ensure that the loan can be repaid in a timely manner. The number of monthly payments that need to be made for a 2 ½ -year loan is 30. This is because there are 12 months in a year and 2 ½ years are equal to 30 months. This information is important to know because it will allow you to budget your finances and ensure that you can make the necessary payments on time. It is important to note that some lenders may offer more flexible repayment schedules, so it's important to research the terms and conditions of the loan before signing the agreement. If you are unsure about the terms of a loan, it's always a good idea to seek the advice of a financial advisor. With the right information and planning, taking out a loan can be a responsible financial decision.

In conclusion, for a 2 ½ -year loan, 30 monthly payments need to be made. It is important to know this information to budget finances and make payments on time. It's important to research loan terms and seek the advice of a financial advisor to make informed financial decisions.

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We need to calculate the z-score and then use a z-table to find the proportion of scores smaller than X = 35 in the normal distribution with a mean (µ) of 40 and a standard deviation (σ) of 10.
The z-score formula is: z = (X - µ) / σ

For X = 35, µ = 40, and σ = 10, the z-score is:
z = (35 - 40) / 10 = -0.5

Now, you need to look up the z-score (-0.5) in a z-table, which gives you the proportion of scores smaller than X = 35. The value associated with a z-score of -0.5 is 0.3085.
So, the correct answer is: a. 0.3085

Now, we can use the standard normal distribution table or a calculator with a normal distribution function. We know that the mean of the distribution is 40 and the standard deviation is 10. We want to find the proportion of scores that are smaller than X = 35.

First, we need to standardize the value of 35 using the formula:

z = (X - µ) / Ï

where X is the value we want to standardize, µ is the mean, and Ï is the standard deviation.

Plugging in the values we have:

z = (35 - 40) / 10 = -0.5

This means that a score of 35 is 0.5 standard deviations below the mean.

Next, we can use the standard normal distribution table or a calculator to find the proportion of scores that are smaller than z = -0.5. Using the table or calculator, we find that this proportion is 0.3085.

Therefore, the answer is (a) 0.3085.

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The value of probability P(A ∩ B) = 3/10 = 0.3.

Probability is a measure of the likelihood of a particular event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.

Probability is used in many fields such as statistics, finance, economics, and science to make predictions and decisions based on uncertain information

Event A is drawing an odd card, which means that the odds are 5/10 or 1/2.

Event B is drawing a four or higher, which means that the odds are 7/10.

Event A ∩ B means that we are interested in the probability of drawing an odd card and drawing a card of four or higher at the same time. There are 3 cards that are both odd and four or higher, which are 5,7, and 9. So the probability of drawing one of these cards is 3/10.

Therefore, The value of probability P(A ∩ B) = 3/10 = 0.3.

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4. The magnitude of angle S is 40°. Answer A.

5. The value of x is 48°. Answer B.

6. The true conclusion is Trevor is correct because the point (4 , 0) satisfies both equations. Answer B.

7. The system of equations has infinitely many solutions. Answer D.

Two parallel lines cut by a transversal form several angles. Look at the top image on the left. Two types of alternate angles have the same magnitude of the angle

The tangent line of two parallel lines is equals

4. From the picture

5. Look at the top image on the right.

6. Solve the system of equations with the substitution method

7. The system of equations

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Answer:

A van can carry 15 students and a bus can carry 21 students

Step-by-step explanation:

System of Equations

There are separate trips to the water park for which vans and buses were rented. Let's call the variables:

x = number of students that a van can carry

y = number of students that a bus can carry

6 vans and 8 buses were filled with 246 students. This leads to the equation:

6x + 8y = 246

Dividing by 2:

4x + 3y = 123      [1]

4 vans and 8 buses were filled with 228 students. Thus, we form the equation:

4x + 8y = 228     [2]

Subtracting [2] minus [1]:

5y = 228 - 123 = 105

Dividing by 5:

y = 105/5 = 21

y = 21

From [1]:

4x + 3*21 = 123

4x + 63 = 123

Subtracting 63:

4x = 60

Dividing by 4:

x = 60/4 = 15

x = 15

A van can carry 15 students and a bus can carry 21 students

Answer:

  0.82

Step-by-step explanation:

You want the probability of A or B given the frequencies shown in the diagram.

The probability of either event is the ratio of the number of times it occurs to the total number of trials. The total number of trials is shown as ...

  num trials = 23 + 18 + 9 = 50

Then the probability of interest is ...

  P(A or B) = P(A) + P(B) . . . . . . . . . . . . . given in the diagram

  P(A or B) = 23/50 +18/50 = 41/50

  P(A or B) = 0.82

Pounds of apples sold y = 11.04

Pounds of raspberries sold = 33.12  

A farm, often referred to as an agricultural holding, is a piece of land that is predominantly used for agricultural pursuits with the goal of producing food and other crops; it is the key component in the production of food.

The phrase is used to describe specialized businesses such arable farms, vegetable farms, fruit farms, dairy farms, pig farms, and poultry farms as well as land used to generate natural fiber, bio-fuel, and other goods.

Along with the farmhouse and other agricultural buildings, this category also includes ranches, feedlots, orchards, plantations and estates, smallholdings, and hobby farms.

Modern usage of the phrase has expanded it to include both on land and in the water operations like wind farms and fish farms.

each pound of raspberries sells for $3.25

and each pound of apples sells for $2.75.

3.25x + 2.75y = $138 equⁿ 1

3 times as many pounds of apples as pounds of raspberries,

x = 3y  

where, x = pounds of raspberries  sold

y = pounds of apples sold

on putting x = 3y  in  equⁿ 1, we get

3.25 * 3x + 2.75y = 138

y = 138 /12.50

y = 11.04

x = 33.12

hence,  pounds of apples sold y = 11.04

pounds of  raspberries sold = 33.12

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Answer:

73/10

Step-by-step explanation:

7 times 10=70+3 which equals 73 over 10. So your answer is 73/10.

Answer:

The first one is a function but the second one is not.

Step-by-step explanation:

Using the vertical line test, we can check if the graphs are a function or not. Every vertical line can only touch a graph once in order for the function to pass the Vertical Line Test. If a graph passes the Vertical Line Test, it's the graph of a function. The first one has no points intersecting each other if you draw a vertical line for each point. However, if you draw vertical lines for the second graph, the points vertically intersect each other, making it not a function.

Answer:

Step-by-step explanation:The walker family uses 45 pounds of crisped rice cereal per year. 1.55 pounds  they save by buying the 18-oz. box for $3.50 rather than the 12-oz. box for $2.75  by using unitary method.

What is called pound?

A pound is a unit of weight used mainly in Britain, America, and other countries where English is spoken. One pound is equal to around 0.454 kilograms. A pound of something is a quantity of it that weighs one pound.

For this, we get the unit price per ounce of each.

3.50/ 18 = 0.1944 unit

2.75 / 12 = 0.229 unit

The walker family uses 45 pounds of crisped rice cereal per year 45 ×0.1944=8.74845 ×0.229= 10.305.

Thus ,they save 10.305 - 8.75 = 1.55

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the general solution of the given differential equation is:

y = (1/|x|^2) [(1/5)x^5 - (1/3)x^3 + C]

where C is the constant of integration.

To find the general solution of the given differential equation, we need to solve for y in terms of x. The differential equation is:

What is Integrating factor?

x dy/dx + 2y = x^3 - x

To solve this, we can use an integrating factor. First, we rearrange the equation in the standard form:

dy/dx + (2/x) y = (x^3 - x)/x

The integrating factor (IF) is defined as the exponential of the integral of the coefficient of y. In this case, the coefficient is (2/x), so the IF is:

IF = exp(∫(2/x) dx)

= exp(2 ln|x|)

= exp(ln|x|^2)

= |x|^2

Now, we multiply both sides of the differential equation by the integrating factor:

|x|^2(dy/dx) + (2|x|^2 / x) y = (x^3 - x)|x|^2 / x

Simplifying this expression, we have:

|x|^2(dy/dx) + 2|x|y = (x^3 - x)|x|

Now, we can rewrite the left-hand side as the derivative of (|x|^2y) with respect to x:

d/dx (|x|^2y) = (x^3 - x)|x|

Integrating both sides with respect to x, we get:

∫ d/dx (|x|^2y) dx = ∫ (x^3 - x)|x| dx

|x|^2y = ∫ (x^4 - x^2) dx

Integrating further, we have:

|x|^2y = (1/5)x^5 - (1/3)x^3 + C

Finally, we can solve for y:

y = (1/|x|^2) [(1/5)x^5 - (1/3)x^3 + C]

Therefore, the general solution of the given differential equation is:

y = (1/|x|^2) [(1/5)x^5 - (1/3)x^3 + C]

where C is the constant of integration.

to knkow more about Integrating factor viait"

Find the inverse Laplace transforms of the following functions. First, perform partial-fraction expansion on G(s); then, use the Laplace transform table. (a). G(s)= 1 / s(s+2)(s+3) (b). G(s)= 10 / (s +1)^2(s+3) (c). G(s)= [100(s+2) / s(s^2 + 4)(s+1)] e^-x

(d). G(s)= 2(s+1) / s(s^2+s+2) (e). G(s)= 1 / (s+1)^3 (f). G(s)= 2(s^2+s+1) / s(s+1.5)(s^2 +5s+5)

(g). G(s)= [2+2se^(-x) + 4e^(-2x)] / [s^2 + 3s + 2] (h). G(s) = 2s+1 / (s^2 + 6s^2 +11s +6)

(i). G(s) = (3s^3 + 10s^2 + 8s + 5) / (s^4 + 5s^3 + 7s^2 + 5s +6)

The value of x in given equation is  x = 12

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

The angle of each end is 90 degrees. Opposite sides are equal and parallel. Diagonals bisect each other. The circumference is  twice the sum of its length and width. The area is equal to the product of its length and width.  

ABCD is the rectangle AC and BD is the diagonal segment at M. Find the value of x AM = 9x + 20 and DM = 10x  + 8

The diagonals of a rectangle are of the same length and bisect each other. We denote the length of the diagonal AC by d.  

Since AC and BD are diagonals of rectangle ABCD and  intersect at  M, we know that:

AM + MC = AC

DM + MC = d

We can use this information to solve for x.

 Using the first equation, we can solve for MC:

AM + MC = AC

9 x + 20 + MC = d (since AC = d)

MC = d - 9x - 20

Using the second equation, we can solve for MC:

DM + MC = d

10 x + 8 + MC = d

MC = d - 10x - 8

Since MC is the same in both equations, we can equate them  and solve for x:

d - 9x - 20 = d - 10x - 8

Simplifying, we get:

x = 12

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0.1 recurring as a fraction would be 1/9

For this one, there isn't a need to use numbers. A continuous function is a function that never stops, and a discrete one is one that does. The continuous function is the blue one, and the discrete one is the red one. The discrete one breaks becomes not continuous at (-1,1).

in total, Bonnie can choose from 8 different digit combinations to make the number 592705XY one of her favorite numbers.

Since Bonnie's favorite numbers are those that are divisible by 9, the sum of the digits in the number must also be divisible by 9.

To find out how many different ten's digits Bonnie can choose for X, we need to figure out what the sum of the digits in 592705XY is.

5 + 9 + 2 + 7 + 0 + 5 + X + Y = 28 + X + Y

For the number to be divisible by 9, the sum of the digits (28 + X + Y) must be divisible by 9.

The possible values for X that would make the sum of the digits divisible by 9 are: 0, 3, 6, or 9.

For each of these values of X, we need to find the possible values of Y that would make the number divisible by 9.

When X = 0, the sum of the digits is 28 + Y, which is divisible by 9 when Y = 1 or Y = 8.

When X = 3, the sum of the digits is 31 + Y, which is divisible by 9 when Y = 5 or Y = 2.

When X = 6, the sum of the digits is 34 + Y, which is divisible by 9 when Y = 7 or Y = 4.

When X = 9, the sum of the digits is 37 + Y, which is divisible by 9 when Y = 2 or Y = 5.

Therefore, Bonnie can choose 4 different ten's digits (0, 3, 6, or 9) and for each of those ten's digits, she can choose 2 different one's digits (as shown above).

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Serena should focus on a certain amount and track her spending. Option B

From the information given, Serena wants to reduce debt and to do this she needs to pay attention on how she borrows and the possible way to pay her debts.

Some possible ways to reduce debts include;

Thus, Serena should focus on a certain amount and track her spending. Option B

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The estimated value of the machine after 4 years when the rate of depreciation dV/dt is inversely proportional to the square of t + 1 is $234,375.

Since the rate of depreciation is inversely proportional to the square of t + 1, we can write:

dV/dt = k / (t + 1)²

where k is the constant of proportionality. We can find k by using the initial value of the machine:

dV/dt = k / (t + 1)² = -100,000 / year when t = 0 (the first year)

Therefore, k = -100,000 * (1²) = -100,000.

To find the value of the machine after 4 years, we need to solve the differential equation:

dV/dt = -100,000 / (t + 1)

We can do this by separating variables and integrating:

∫dV / (V - 500,000) = ∫-100,000 dt / (t + 1)²

ln|V - 500,000| = 100,000 / (t + 1) + C

where C is the constant of integration.

We can find C by using the initial value of the machine:

ln|500,000 - 500,000| = 0 = 100,000 / (0 + 1) + C

Therefore, C = -100,000.

Substituting this value of C, we get:

ln|V - 500,000| = 100,000 / (t + 1) - 100,000

ln|V - 500,000| = -100,000 / (t + 1) + ln|e¹⁰|

ln|V - 500,000| = ln|e¹⁰ / (t + 1)²|

V - 500,000 = \(e^{10/(t + 1)²)}\)

V = \(e^{10/(t + 1)²)}\) + 500,000

Finally, we can estimate the value of the machine after 4 years by substituting t = 3:

V = \(e^{10/(3 + 1)²}\) + 500,000

V ≈ $234,375

Therefore, the correct answer is $234,375.

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Answer:

see explanation

Step-by-step explanation:

[ 17, + ∞ ] are used to indicate that the values inside are equal to the 2 limits, that is that x can equal 17 or + ∞

However, this as not the case as x > 17 indicates x is greater than 17 but not equal to it. This is also true for + ∞

To represent this situation parenthesis is used, that is

(17, + ∞ )