Add -4 + (-15).

-11
19
-19
11

Answer:

midsegment = 23

Step-by-step explanation:

the midsegment is half the sum of the bases, that is

midsegment = \(\frac{18+28}{2}\) = \(\frac{46}{2}\) = 23

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

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Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

Total Liabilities  + Equity = $220,000.

Total Assets = $220,000.

What is Ratio Analysis and Balance Sheet?

The relationship between the two separate components is established through ratio analysis. Utilizing figures from the income statement, balance sheet, statement of cash flows, and other financial statements, it is used to assess the company's financial performance.

One of a company's financial statements that is created at the end of the year is the balance sheet. It establishes the balance of a company's assets, liabilities, and stockholder equity at the end of the fiscal year.

Here we are given in the Question,

Assets

Cash = $45,000

Inventory = $41,000

Property = $134,000

Liabilities

Notes  = $55,000

Wages  = $56,000

and

Equity

Stock = $50,000

Investment = $59,000

Total Liabilities  + Equity = ( Notes + wages ) + (stock + Investment)

Total Liabilities  + Equity = ( $55,000 + $56,000) + ($50,000 + $59,000)

Total Liabilities  + Equity = $220,000.

Total Assets = Cash + Inventory + Property

Total Assets = $45,000 + $41,000 + $134,000

Total Assets = $220,000

Therefore,

Total Liabilities  + Equity = Total Assets.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

rectangle diagram

Step 02:

geometry:

similar figures:

The answer is:

x = 4

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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The taxable income of the family is 1,15,37,000, the tax liability is given as  34,61,100.

Mr. B's taxable income calculation:

Income from Business: 75,00,000

Gift received: 6,00,000

Lottery winnings: 19,00,000

Maturity amount of life insurance: 32,00,000

Total Income: 1,32,00,000

Expenditures:

Family trip: 15,00,000

Gift to wife: 4,50,000

Life insurance premium: 50,000

Tuition fee: 50,000

PPF investment: 80,000

Medical test fee: 6,000

Health insurance premium: 27,000

Total Expenditures: 16,63,000

Taxable Income: 1,15,37,000 (Total Income - Total Expenditures)

Tax liability calculation:

Taxable Income Tax Rate Up to (in Rupees)

2.5 Lakhs NIL

2.5 Lakhs to 5 Lakhs 5% (12,500)

5 Lakhs to 7.5 Lakhs 10% (25,000)

7.5 Lakhs to 10 Lakhs 15% (37,500)

10 Lakhs to 12.5 Lakhs 20% (50,000)

12.5 Lakhs to 15 Lakhs 25% (62,500)

Above 15 Lakhs 30%

In this case, Mr. B's taxable income is 1,15,37,000, which falls in the tax bracket of above 15 Lakhs, so his tax liability would be 30% of 1,15,37,000 = 34,61,100.

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The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

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

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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Answer: The x-intercept is  4  and the y-intercept is 2.

Step-by-step explanation:

The x is intercept is when y is 0 and the y intercept is when x is 0.So using this information you can put in 0 for x and another 0 for y and solve for the x and y intercepts.

7(0) + 14y = 28

0    + 14y = 28

   14y = 28

  y =  2

7x + 14(0) = 28

7x + 0 = 28

  7x = 28

x =  4

The \(x\)-intercept of the given equation is \(4\) and the \(y\)-intercept is \(2\).

Given:

The equation is:

\(7x+14y=28\)

To find:

The \(x\)-intercept and \(y\)-intercept of the given equation.

Explanation:

We have,

\(7x+14y=28\)          ...(i)

Substitute \(x=0\) in (i) to find the \(y\)-intercept.

\(7(0)+14y=28\)

\(14y=28\)

\(\dfrac{14y}{14}=\dfrac{28}{14}\)

\(y=2\)

Substitute \(y=0\) in (i) to find the \(x\)-intercept.

\(7x+14(0)=28\)

\(7x=28\)

\(\dfrac{7x}{7}=\dfrac{28}{7}\)

\(x=4\)

Therefore, the \(x\)-intercept of the given equation is \(4\) and the \(y\)-intercept is \(2\).

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Answer:

Victor has 18 trophies

Step-by-step explanation:

Let's set up "let statements"

Let d = Dean's trophies

Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...

Let 2d = Victor's trophies

Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...

2d + d = 27

Combine like terms...(2d and d)

3d = 27

Divide 3 on both sides to isolate the variable "d"

3d ÷ 3 = d

27 ÷ 3 = 9

So...

d = 9

That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...

2 · 9 = 18

Therefore, Victor has 18 trophies!

Hope this helps :)

The key features of the dashed graph are

A graph is a pictorial representation of a function

To describe the key features of the dashed graph, we proceed as follows.

So, the key features of the dashed graph are

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Answer:

4*3/4* 7=21 bones per week

Answer:

= 4 ¾ × 7

= 33.25 snack bones

Answer:

675 = variable expenses

Step-by-step explanation:

Take the total expenses and subtract the fixed expenses to find the variable expenses

1425-750 = variable expenses

675 = variable expenses

A possible equation of a rational function for the graph could be:f(x) = (x-2)/(x-1)²

An equation is a mathematical statement that uses an equal sign to describe the relationship between two or more components or variables. It is a way of expressing a condition or a scenario through mathematical terms and symbols. Equations are used to solve problems in a variety of fields, such as physics, chemistry, engineering, economics, and mathematics. In general, an equation has two sides: the left side and the right side, each of which contains numbers and/or variables. The left side is equal to the right side, so if some of the values or variables are known, the unknown values or variables can be determined.

This equation would represent a graph that has a vertical asymptote at x = 1, a hole at x = 2, and an x-intercept of 2. The graph would also have a slant asymptote at y = 1. The graph would also be continuous for all x-values except for x = 1.

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Answer:

3/8 or 3:8

Step-by-step explanation:

pink : not pink

6 : 16

Think of it as a fraction. Simplify it in the same way.

6/16 simplifies to 3/8

So the pink:notpink ratio is 3/8 or 3:8

The solution of given system of equations is (1/5, 6).

What is system of equation?

A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations are simpler than non-linear equations because they graph as straight lines.

Given equations : 5x+y=7

                             20x+2=y

We can solve it by using substitution method:

Now, we have 5x+y=7

it can be written as,

         y = 7 - 5x .... equation 1

Similarly, we have 20x+2=y

can be written as,

           y = 20x+2 ..... equation 2

Subtracting equation 1 from equation 2

we get,  20x+2 - ( 7 - 5x ) = 0

             20x + 5x + 2 - 7 = 0

             25x = 5

               x = 1/5

Putting x=1/5 in equation 1,

we get, y = 20 × 1/5 + 2

               = 4 +2

               = 6

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Answer:

its yes

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

40 / 100= .4

.4 x 45 = 18

18/18= 1

1x 100= 100

Answer:

100

Step-by-step explanation:

:D

Split the integral at \(x=0\). In the integral over \(\left[-\frac\pi2,0\right]\), substitute \(x\mapsto-x\) to get

\(\displaystyle \int_{-\pi/2}^0 \frac{\cos(x)}{1 + \cos^{\tan(x)}(x)} \, dx = \int_0^{\pi/2} \frac{\cos(x)}{1 + \cos^{-\tan(x)}(x)} \, dx\)

Then we have

\(\displaystyle \int_{-\pi/2}^{\pi/2} \frac{\cos(x)}{1 + \cos^{\tan(x)}(x)} \, dx \\\\ ~~~~~~~~ = \left\{\int_0^{\pi/2} + \int_{-\pi/2}^0\right\} \frac{\cos(x)}{1 + \cos^{\tan(x)}(x)} \, dx \\\\ ~~~~~~~~= \int_0^{\pi/2} \cos(x) \left(\frac1{1+\cos^{\tan(x)}(x)} + \frac1{1 + \cos^{-\tan(x)}(x)}\right) \, dx \\\\ ~~~~~~~~ = \int_0^{\pi/2} \cos(x) \left(\frac1{1 + \cos^{\tan(x)}(x)} + \frac{\cos^{\tan(x)}(x)}{1 + \cos^{\tan(x)}(x)}\right) \, dx \\\\ ~~~~~~~~ = \int_0^{\pi/2} \cos(x) \, dx = \boxed{1}\)

Answer:

Animals help pollinate flowers by eating them and depositing the seeds in different areas.

Answer:

10%

Step-by-step explanation:

loss= Cp - Sp

= 500- 450

= 50

loss % = 50/ 500× 100

= 10%

Answer:

8 + [8 + (-1*(-3)-4)]÷(-7) = 7/1 = 7

                    Hope this helped answer your question!

Answer:

7

Step by Step Explanation:

Answer:

\(\boxed{\sf \ \ 25 \ \ }\)

Step-by-step explanation:

Hello,

we can see that

\(x^2-10x = x^2-2*5x\)

is the beginning of

\(x^2-2*5x+5^2=(x-5)^2\)

so we must add 5*5=25 to both sides of the equation to make the left side a perfect square trinomial

hope this helps

Answer:

25.

Step-by-step explanation:

To find the value that will make the left side a perfect-square trinomial, you need to find (b/2)^2. In this case, b = -10.

(-10 / 2)^2

= (-5)^2

= (-5) * (-5)

= 25

Once you add 25 to both sides, the left side becomes x^2 - 10x + 25, which is equal to (x - 5)^2.

Hope this helps!

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer: 6 hours

Step-by-step explanation:

You have to divide 360 by 60 minutes.

Answer:

There are 360 minutes in 6 hours.

Hope this helps :)

Calista's grade on her last assignment is 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

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Answer:

15.7 inches

Step-by-step explanation:

Circumference of circle = d x 3.14

d = 5 inches

Let's solve

5 x 3.14 = 15.7 inches

So, the circumference of the circle is 15.7 inches.