I’ll give more pictures in tutoring but pls give me help!!

Answer:

361 ft²

Step-by-step explanation:

Each side of the square pool,

→ 19 ft

Formula we use,

→ side²

The area of the square pool will be,

→ side²

→ (19)²

→ 361 ft²

Hence, area of the pool is 361 ft².

Answer:

Area = 361 ft²

Step-by-step explanation:

Area of a square = \(x^2\)  (where \(x\) is the side length)

Given:

\(\begin{aligned}\implies \textsf{Area of the pool}&=\sf 19^2\\& = \sf 19 \times 19\\& = \sf 361\:ft^2\end{aligned}\)

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer: It would be the second one.

Step-by-step explanation:

Inverse means opposite.

Answer:

Option D

Step-by-step explanation:

This is an example of a two by two matrix. To determine if the inverse of R even exists, take the determinant of the matrix, as such -

( 0 * 3 ) - ( 0 * 4 ) = 0 * 0 = 0

As you can see, the determinant is 0, and if so, the inverse of R doesn't exist. Thus, \(R^-\) doesn't exist, as it is present as the inverse of R,

Solution = Option D

Answer: f is Parralel to g

Step-by-step explanation:

Answer:

You gave us no choices

Step-by-step explanation:

h is not parallel f

The surface areas of the figures are 336, 82 and 836

From the question, we have the following parameters that can be used in our computation:

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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We are given the formula y=x. The easiest way to graph the equation of a line is simply by giving some values of x and the joining all the points. Consider the following

X Y

-2 -2

-1 -1

0 0

1 1

2 2

3 3

If we graph this points and the join them with a line, we get

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

From the question, we have the following parameters that can be used in our computation:

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

B.

Mean: 16.1

Median: 16

Mode: 16

Step-by-step explanation:

First, order the numbers in the data set from least to greatest:

\(14 , 14 , 14 , 14 , 15 , 15 , 15 , 15 , 15 , 16 , 16 , 16 , 16 , 16 , 16 , 17 , 17 , 17 , 19 , 19 , 19 , 19\)

First, find the mean. The mean of a data set can be found by adding all the numbers together and dividing by the amount of numbers in the set:

\(\frac{14 + 14 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 16 + 16 + 16 + 17 + 17 + 17 + 19 + 19 + 19 + 19}{22} = \frac{354}{22}\)

Next, simplify by dividing:

\(\frac{354}{22} = \frac{177}{11} = 16 \frac{1}{11} or ~16.1\)

Mean: 16.1

Next, find the median. The median is the number(s) directly in the middle. If there is a even amount of number in the data set, find the mean of the two median numbers:

Median: 16 , 16

Median = \(\frac{16 + 16}{2} = \frac{32}{2} = 16\)

Median = 16

Next, find the mode. The median is the number that shows up the most. In this case, it is 16, which appears 6 times, 1 more time then the next number that appears the most 15, which appears 5 times.

Mode: 16

~

If you are asked about range, range would be the greatest digit value subtracted by the least digit value. In this case, it would be 14 & 19:

19 - 14 = 5

Range: 5

~

Controlled destruction, also known as selective demolition or deconstruction, involves carefully dismantling a building or structure in order to salvage and reuse as many materials as possible. This process can make it easier to build new buildings in several ways:

Minimizes waste: By salvaging and reusing materials from the old building, controlled destruction minimizes the amount of waste generated during the demolition process. This can reduce the need for new materials, which can be costly and time-consuming to source and transport.

Reduces environmental impact: Controlled destruction can also be more environmentally friendly than traditional demolition methods, as it produces less waste and pollution. This can help to minimize the impact on the local environment and reduce the carbon footprint of the construction project.

Provides access to reusable materials: Salvaging materials from the old building can also provide access to high-quality, durable materials that can be used in the construction of the new building. This can save time and money on sourcing new materials, and can also provide an opportunity to incorporate unique and interesting architectural features.

Helps to preserve historical buildings: In some cases, controlled destruction can be used to preserve historical buildings or structures by carefully dismantling them and reusing the materials in a new context. This can help to maintain the cultural and historical significance of the original building, while still allowing for new development and construction in the area.

Overall, controlled destruction can make it easier to build new buildings by minimizing waste, reducing environmental impact, providing access to reusable materials, and helping to preserve historical buildings.

~~~Harsha~~~

Answer:

1.645 feet

Step-by-step explanation:

To solve this you must divide the total length by 5. 8.225/5=1.645. Each board will be 1.645 feet long

Answer:

-8-7x=-5x-10

+8-7x=-5x+8

-7x=-5x-2

Step-by-step explanation:

-8-7x=-5x-10

+8-7x=-5x+8

-7x=-5x-2

+5x=+5x-2

-2x=-2

/-2x=-2

x=1

Answer:

a) Let's define the variables:

t = number of tulips bought

r = number of roses bought

We know that each tulip costs $5, and each rose costs $3.

Then the total cost will be:

$5*t + $3*r

We know that Morty spent a total of $54, then we have the equation:

$5*t + $3*r = $54

We also know that he bought a total of 14 flowers, then:

r + t = 14

Then the system of equations is:

$5*t + $3*r = $54

r + t = 14

b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:

r = 14 - t

Now we can replace this into the other equation:

$5*t + $3*r = $54

$5*t + $3*(14 - t) = $54

Now we can solve this for t.

$5*t + $3*14 - $3*t = $54

$2*t + $42 = $54

$2*t = $54 - $42 = $12

t = $12/$2 = 6

t = 6

He bought 6 tulips.

Now we can use the equation r = 14 - t

r = 14 - 6 = 8

r = 8

He bought 8 roses.

Answer:

E. No, it is not appropriate because the distribution of the population is skewed and the sample size is not large enough to satisfy the condition that the sampling distribution of the sample mean be approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

In this question:

Standard deviation larger than the sample mean means that the distribution is skewed.

By the Central Limit Theorem, when the distribution is skewed, normality is assumed for samples sizes of 30 or higher. In this question, the sample is of 18, which is less than 30, so the hypothesis test is not appropriated, and the correct answer is given by option E.

To determine how many fish the fisherman released into the lake, we need another piece of information that relates to the population of the new species at a certain time. Let's say that after 5 weeks, the population of the new species has grown to 500 fish. Then we can set up an equation:

P(5) = 7b^5 = 500

Solving for b, we get:

b^5 = 500/7

b = (500/7)^(1/5)

b ≈ 1.828

Now we can find the initial population P(0):

P(0) = 7b^0 = 7(1) = 7

Therefore, the fisherman illegally introduced 7 fish into the lake.

If you deposit $8000 into an account paying 7% annual interest compounded quarterly, the time until there is $12400 in the account is 6.4 quarter years or 1.4 years approximately.

Compound interest is known as the addition of interest to the principal sum of a loan or deposit in other words, it is an interest on principal plus interest. it is calculated through following formula:

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

where, A = Amount

P = Principle

r = rate

n = number of compounding periods

t = time in year

According to the question;

A = $12400

P = $8000

r = 7%

By applying the mentioned formula;

12400 = 8000×\((1 + 7/100)^{t}\)

t = 6.4 quarter years.

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The factors of 4x^2 +8x-5 are (2x-1) and (2x+5)

Answer:

The value of the new volume 'x' would be equal to 40.5 cm³.

Step-by-step explanation:

Given

We can determine the volume of the original prism by multiplying the area of the base by the height,

                              volume = (3 cm²)(4 cm) = 12 cm³

Dilation by a factor of 3/2 means that the dimensions of the new prism is 3/2 times that of the original object.

let 'x' be the volume of the new solid,

\(\frac{x}{12}=\left(\frac{3}{2}\right)^3\)

\(\frac{x}{12}=\frac{27}{8}\)

Multiply both sides by 12

\(\frac{12x}{12}=\frac{27\cdot \:12}{8}\)

\(x=\frac{81}{2}\)

\(x=40.5\) cm³

Therefore, the value of the new volume 'x' would be equal to 40.5 cm³.

Answer: H - 46

Step-by-step explanation:

Primeter = 2(l + w)

50 = 2{(3m+2) + (m-5)}

25 = 3m+2 +m -5

25 = 4m -3

m = 28/4 = 7

l = 3m+2 = 23 cm

w = m-5 = 2 cm

Area = l x b

= 23 x 2 = 46 sq. cm.

Answer:

6 is the answer to your question

Answer:

x=18

Step-by-step explanation:

since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.

1/2 * x = 1/2x

1/2 * 24= 12

1/2x+12=21

subtract 12 from both sides

1/2x= 9

divide 1/2 from both sides

x=18

so your answer would be x=18

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\frac{1}{2}(x+24)=21 \rightarrow \frac{1}{2}x + 12 = 21\\\\x = 18\)

»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\frac{1}{2}(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow \frac{1}{2}*x = \frac{1}{2} \\\\\rightarrow \frac{1}{2} * 24 = 12\\\\\rightarrow \frac{1}{2}x + 12 = 21\\\\\rightarrow \frac{1}{2}x + 12 - 12 = 21 - 12\\\\\rightarrow \frac{1}{2}x = 9\\\\\rightarrow (\frac{1}{2}x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

If f(x) = x² ₋ 4x ₋ 6 then we get the following answers for f(0),f(3) and f(-2) respectively. And the expression f(1/2) = f(7/2) and f(2₋h) = f(2₊h) is therefore proved.

f(0) = -6

f(3) = -9

f(-2) = 6

Given the function is f(x) = x² ₋ 4x ₋ 6

we need to find for f(0):

f(0) = 0² ₋ 4(0) ₋ 6

f(0) = ₋6

f(3) = 3² ₋ 4(3) ₋ 6

f(3) = 9 ₋ 12 ₋ 6

f(3) = ₋9

f(₋2) = (₋2)² ₋ 4(₋2) ₋ 6

f(₋2) = 4 ₊ 8 ₋ 6

f(₋2) = 6

we need to prove f(1/2)f(7/2)

now, f(1/2) = (1/2)² ₋ 4(1/2) ₋ 6

f(1/2) = 1/4 ₋ 2 ₋ 6

f(1/2) = 1 ₋ 8 ₋ 24 / 4

f(1/2) = ₋31/4

f(7/2) = (7/2)² ₋ 4(7/2) ₋ 6

f(7/2) = 49/4 ₋ 14 ₋ 6

f(7/2) = 49 ₋ 56 ₋ 24 / 4

f(7/2) = ₋31/4

therefore, f(1/2) = f(7/2)

f(2₋h) = (2₋h)² ₋ 4(2₋h) ₋ 6

f(2₋h) = (4 ₊ h² ₋ 4h) ₋ 8 ₊ 4h ₋ 6

f(2₋h) = h² ₊ 4 ₋ 4h ₋ 8 ₊ 4h ₋ 6

f(2₋h) = h² ₋ 10

f(2₊h) = (2₊h)² ₋ 4(2₊h) ₋ 6

f(2₊h) = 4 ₊ h² ₊ 4h ₋ 8 ₋ 4h ₋ 6

f(2₊h) = h² ₋ 10

therefore, f(2₋h) = f(2₊h)

Hence proved.

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Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

Here we are required to determine the initial monthly fee charged by the electric company.

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

To find the slope;

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

Therefore, the initial fee charged by the electric company is; C = $10.

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Answer:

The total  cost of sales  department is  \(a =   \$ 84,000\)

The total cost of services department  is \(b  =  \$ 21,000\)  

Step-by-step explanation:

From the question we are told that

  The  direct  for sales cost is  \(SC  =  \$88,200\)

  The direct cost for service department is  \( SV =  \$29,400\)

Given that the  sales department charges 10% of its total monthly costs to the service department

   The indirect cost of  service department is  10% of  a =  0.10 a

Here a is the total cost of sales

Given that the  service  department charges 20% of its total monthly costs to the sales department

    The indirect cost of  sales department is  20% of  b =  0.20 b

Here b is the total  cost for service department  

Generally the direct cost of sales can be mathematically represented as

       \(SC  = a + 0.20b \)

=>     \(88200  =  a + 0.20b\)

=>    \(a = 88200-0.20b\)

Generally the direct cost of services can be mathematically represented as

       \(SV  = b + 0.10a \)

=>     \(29400  =  b + 0.10a\)  

substituting for a  in the above equation

=>     \(29400  =  b + 0.10 [88200-0.20b]\)      

=>    \(b  =  \$ 21,000\)  

substituting this value into the equation for a

     \(a = 88200-0.20 (21000)\)

=>  \(a =   \$ 84000\)

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

Step-by-step explanation:

1-399

2  C

 3-A 99999

4a  

5b

7 b

8 C

9D

10c

The total number of people in attendance was 400 people in total.

Let:

x be the no of grandparents

y be the no of parents

z be the no of children

Since there are 400 people total, so we can write the equation:

x + y + z = 400

We also know that there were twice as many parents as grandparents, so we can write the equation:

y = 2x

We know that there were 50 more children than parents, so we can write the equation:

z = y + 50

Now we have a system of three equations with three variables:

x + y + z = 400

y = 2x

z = y + 50

We can solve this system using substitution method

First, we can use the second equation to express y in terms of x:

y = 2x

Next, we can use the third equation to express z in terms of x:

z = y + 50

z = 2x + 50

Now we can substitute these expressions for y and z into the first equation:

x + y + z = 400

x + (2x) + (2x + 50) = 400

5x + 50 = 400

5x = 350

x = 70

So there were 70 grandparents in attendance.

Using the second equation, we can find the number of parents:

y = 2x

y = 2(70)

y = 140

So there were 140 parents in attendance.

Using the third equation, we can find the number of children:

z = y + 50

z = 140 + 50

z = 190

So there were 190 children in attendance.

Therefore, the total number of people in attendance was:

70 grandparents + 140 parents + 190 children = 400 people in total.

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