In the figure above, how would you set up your equation?

Answer:

72 is the correct answer

Answer:

I believe 72 is the correct answer

Step-by-step explanation:

Answer:

A=10 square units

Step-by-step explanation:

The area of a shape is the amount of space it can occupy.

The area of the polygon is \(8+ \sqrt 2\) square units

Given

\(A=(0,5)\)

\(B =(2,5)\)

\(C =(2,3)\)

\(D = (3,2)\)

\(E = (1,2)\)

\(F = (0,3)\)

\(G = (-4,3)\)

First, we plot the points (see attachment)

From the attached image, the polygon can be into split to several shapes as follows:

The area of a shape is the amount of space it can occupy.

The area of the polygon is \(8+ \sqrt 2\) square units

Given

\(A=(0,5)\)

\(B =(2,5)\)

\(C =(2,3)\)

\(D = (3,2)\)

\(E = (1,2)\)

\(F = (0,3)\)

\(G = (-4,3)\)

First, we plot the points (see attachment)

From the attached image, the polygon can be into split to several shapes as follows:

The area of the square is:

\(Area = Length^2\)

using the following distance formula

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

So, we have:

\(A\ F = \sqrt{(0- 0)^2 + (5- 3)^2}\)

\(A\ F = \sqrt{4}\)

\(A\ F = 2\)

So, we have:

\(Area =2^2\)

\(Area = 4\)

The area of the triangle is:

\(Area= 0.5 \times Base \times Height\)

Where

\(Height = A\ F =2\)

\(Base =FG\)

Side length FG is calculated as follows:

\(FG = \sqrt{(0 --4)^2 + (3 -3)^2}\)

\(FG = \sqrt{16}\)

\(FG =4\)

So, we have:

\(Area= 0.5 \times Base \times Height\)

\(Area = 0.5 \times 2 \times 4\)

\(Area =4\)

The area of the rhombus is:

\(Area= \frac{1}{2} (FD \times CE)\)

Where:

\(FD = \sqrt{(1 - 3)^2 + (2 - 2)^2}\)

\(FD = \sqrt{4}\)

\(FD = 2\)

\(CE = \sqrt{(2 -1)^2 + (3 -2)^2}\)

\(CE = \sqrt{2}\)

So, we have:

\(Area= \frac{1}{2} (FD \times CE)\)

\(Area = \frac 12(2 \times \sqrt 2)\)

\(Area = \sqrt 2\)

So, the area of the shape is the sum of the three areas;

\(Area = 4 + 4 + \sqrt 2\)

\(Area = 8+ \sqrt 2\)

Hence, the area of the polygon is \(8+ \sqrt 2\) square units

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The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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Answer:

Understgand what?

Step-by-step explanation:

Answer:

whats your question?

Step-by-step explanation:

The difference of the algebraic expressions is 3x² - 11x + 4

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The difference of two algebraic expressions means the subtraction of the expressions. That is:

(-4x+3) - (7x - 3x² - 1) = -4x+3 -7x+3x²+1

                                 =  3x² - 11x + 4

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Container B needs to be filled faster in order for both containers to gain the same amount of water per minute , and by 1/6 water per minute .

Since water enters container A at a rate of 2/3 cup per 1/2 minute, then we can say that;

Rate of Filling container A = (2/3)/(1/2) = 4/3 cups per minute

We are also told that in container A, water leaks out at a rate of 1/4 cup per 3/4 minute. Thus;

Rate of leaking container A = (1/4)/(3/4) = 1/3 cups per minute

Amount of water in Container A in one minute = (4/3) - (1/3)

= 1

Similarly;

Since water enters container B at a rate of 3/4 cup per 1/2 minute, then we can say that;

Rate of Filling container B = (3/4)/(1/2) = 3/2 cups per minute

We are also told that in container B, water leaks out at a rate of 1/2 cup per 3/4 minute. Thus;

Rate of leaking container B = (1/2)/(3/4) = 2/3 cups per minute

Amount of water in Container B in one minute = (3/2) - (2/3) = 5/6

Since amount of water per minute in container A is 1 and the amount of water per minute in container B is 5/6 , then it means that container A fills faster by container B by; 1 - 5/6 = 1/6

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Complete question is;

two leaky containers are filling with water. water enters container a at a rate of 2/3 cup per 1/2 minute and leaks out at a rate of 1/4 cup per 3/4 minute. water enters container b at a rate of 3/4 cup per 1/2 minute and leaks out at a rate of 1/2 cup per 3/4 minute. which container needs to be filled faster in order for both containers to gain the same amount of water per minute? by how much more water per minute? explain

Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

Answer:

a

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the corresponding sides and this can be determined by using the Pythagorean theorem and the formula of the area of the triangle.

Given :

The base of the right triangle whose legs are 15 inches and 12 inches is calculated by using the Pythagorean theorem:

\(\rm 15^2=12^2+B^2\)

B = 9 inches

The area of the right triangle whose legs are 15 inches and 12 inches is given by:

\(\rm A = \dfrac{1}{2}\times 9 \times 15\)

A = 67.5 \(\rm inch^2\)

The base of the right triangle whose legs are 5 inches and 4 inches is calculated by using the Pythagorean theorem:

\(\rm 5^2=4^2+B^2\)

B = 3 inches

The area of the right triangle whose legs are 5 inches and 4 inches is given by:

\(\rm A' = \dfrac{1}{2}\times 3 \times 5\)

A' = 7.5 \(\rm inch^2\)

Now, the ratio of the area is calculated as:

\(\rm \dfrac{A}{A'}=\dfrac{67.5}{7.5}=9\)

Therefore, the correct option is A) The ratio of the areas is the square of the ratio of the corresponding sides.

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Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

your mom

Step-by-step explanation:

go home look at your mom, that is the answer

Answer:

26

Step-by-step explanation:

A (+) and a (-) will always be a minus, so 48+(-22) becomes 48 - 22, which equals 26.

Answer:

26.

Step-by-step explanation:

48 - 22 = 26.

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The formula for the area of a sector of a circle is:

We want to find the area of the blue sector.

First, let's find the angle of the sector. This angle and angle 84 are in a straight line. Thus, we can say:

Where θ is the angle of the sector.

Let's solve for θ:

We also recognize that BD is the diameter and BA is the radius.

We know

Radius is HALF of Diameter.

Given,

Diameter = 6

Radius = 6/2 = 3

Now, let's calculate the area of the sector:

Rounded to 2 decimal places,

The third option is the correct one, the system of inequalities is:

y ≥ -x + 1

(1/2)x + y ≤ 2

Here we can see that we have two linear inequalities.

Both have negative slopes, one (the red shaded one) has an y-intercept at 1, then we can write:

y ≥ a*x + 1

The other (blue one) is shaded below the line, and the y-intercept is at 2, then we can write this line as:

y ≤ bx + 2

The only option that meets these conditions is the third one, which is:

y ≥ -x + 1

(1/2)x + y ≤ 2

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Answer:

The answer is C

Step-by-step explanation:

Answer:

i believe C

Step-by-step explanation:

to get the equation of any straight line, we simply need two points off of it, let's use those in the picture below

\((\stackrel{x_1}{-8}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-8)}}} \implies \cfrac{-5 +3}{-4 +8} \implies \cfrac{ -2 }{ 4 } \implies - \cfrac{1 }{ 2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{- \cfrac{1 }{ 2 }}(x-\stackrel{x_1}{(-8)}) \implies y +3 = - \cfrac{1 }{ 2 } ( x +8) \\\\\\ y+3=- \cfrac{1 }{ 2 }x-4\implies {\Large \begin{array}{llll} y=- \cfrac{1 }{ 2 }x-7 \end{array}}\)

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

74 and 27

Step-by-step explanation:

let x and y be the numbers

x + y =101........eqn 1

x - y = 47.......eqn 2

solve simultaneously

from equation 2, make x the subject

x= 47 + y........eqn 3

put eqn 3 into eqn 1

(47+y) + y = 101

47 + 2y = 101

       2y= 101 - 47

       2y=54

         y= 54/2

         y= 27

put y=27 into eqn 3

x = 47 + 27

x = 74

The surface area of the triangular prism is 313.47 cm².

Given is a triangular prism, we need to find the surface area,

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.

so, the surface area of a triangular prism =

perimeter × length + 2 × base area

So,

SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9

= 167.67 + 145.8

= 313.47

Hence the surface area of the triangular prism is 313.47 cm².

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Required factors of the given expression is (7-10x) and (5x-4).

What is factor?

A number or algebraic expression that divides another number or expression evenly—that is, without a remainder is called factor. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression with only two factors (that is, itself and 1), is called a prime number; A positive integer or an algebraic expression that has more than two factors is called a complex number. The prime factors of a number or algebraic expression are those factors that are prime factors. According to the Fundamental Theorem of Arithmetic, any integer greater than 1 can be uniquely expressed as the product of its prime factors, except for the order in which the prime factors are written; for example, 60 can be written as a product of 2·2·3·5.

Given expression is

\(2(2x-1)^{2} + 2(3-6x)(4x-7) - 4 {x}^{2} + 1 - 6 {x}^{2} - 25x + 11\)

We are Simplifying,

2(2x-1)² + 2(3-6x)(4x-7) - 4x² + 1 - 6 x² - 25x + 11

= 2( 4x²-4x+1)+2(12x-21-24x²+42x)-4x²+1-6x²-25x+11

= 8x²-8x+2+24x-42-48x²+84x-4x²+1-6x²-25x+11

= -50x²+75x-28

= -(50x²-75x+28)

= -[50x²-(50+25)x+28]

= -1[5x(10x-7)-4(10x-7)]

= -(10x-7)(5x-4)

= (7-10x) (5x-4)

Required factors of the given expression are (7-10x) and (5x-4)

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From greatest to least5.25, 1, 3/4 (or 0.75), -5/2 (or -2.5), -8.345

To sort these numbers from largest to smallest, we must establish a consistent format for swift comparison.

Among the various numbers included are whole figures, fractions and decimals, causing us to mix them uniformly first so that they match— in decimals.

-5/2 = -2.5

5.25 = 5.25 (no alteration required)

1 = 1.0 (to simplify analysis, only adding decimal points)

3/4 = 0.75

-8.345 = -8.345 (essentially unchanged)

At this point, we can effortlessly contrast and compare the numbers.

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Answer:

8 faces

Step-by-step explanation:

F = # faces

4 + F + F = 18 + 2

2F + 4 = 20

2F = 16

F = 8

Answer:

8

Step-by-step explanation:

got it right on test

Answer:

Step-by-step explanation:

First you can start by finding the shapes that make it into a irregular shape

2 rectangles and one square makes the shape

the square 6 x 7=42

the large rectangle 5 x 13=65

the small rectangle 12 x 4=48

42 + 65 + 48= 155

Using the numerical value of a function, the land area that has been overtaken by the thistle between 2000 and 2005 is of 13.460 square miles.

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

The numerical value of a function f(x) at \(x = a\) if f(a).

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

In t years after 2000, the land area overtaken by thistle is:

\(w(t) = 0.792t^3 - 4.196t^2 + 3.872t + 24.021\)

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

The area between 2000 and 2005 is:

\(w(2005 - 2000) - w(2000 - 2000) = w(5) - w(0)\)

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

The numerical values are:

The land area overtaken by thistle between 2000 and 2005 is of 13.460 square miles.

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The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

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Using the concept of compound interest, the total amount she needs to pay is 2261000

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

The formula is given as;

\(A = P(1 + \frac{r}{n})^n^t\)

We can calculate the interest in the first year;

Interest = Principal amount * Interest rate

Interest = 2000000 * 0.09 = 180,000

This is the sum of the loan, the interest of first year minus the lump sum after one year.

Remaining debt after the first year = 2,000,000 + 180,000 - 1,280,000 = 900,000

We can calculate the interest at the second year as;

Interest = 900000 * 0.09 = 81000

When we can the sum of everything to determine how much she needs to pay to clear her loan;

81000 + 900000 + 1280000 = 2,261,000

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