Formula of the area of a trapezoid

Answer: 830

Step-by-step explanation:

Answer:

The nearest whole number is 830

Step-by-step explanation:

Answer:

[tex]\textsf{1.} \quad f(x)+g(x) =8x^2+2x+3[/tex]

[tex]\textsf{2.} \quad f(x)-g(x)=-2x+1[/tex]

[tex]\textsf{3.} \quad h(x)+g(x)= 4x^2-x+5[/tex]

[tex]\textsf{4.} \quad h(x)-f(x)= -4x^2-3x+2[/tex]

[tex]\textsf{5.} \quad g(2)+f(x)= 4x^2+23[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=4x^2+2\\g(x)=4x^2+2x+1\\h(x)=-3x+4\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

Question 1

Add function f(x) and function g(x) together:

[tex]\begin{aligned} \implies f(x)+g(x) & = (4x^2+2)+(4x^2+2x+1)\\& = 4x^2+2+4x^2+2x+1\\& = 4x^2+4x^2+2x+2+1\\& =8x^2+2x+3\end{aligned}[/tex]

Question 2

Subtract function g(x) from function f(x):

[tex]\begin{aligned} \implies f(x)-g(x) & = (4x^2+2)-(4x^2+2x+1)\\& = 4x^2+2-4x^2-2x-1\\& = 4x^2-4x^2-2x+2-1\\& =-2x+1\end{aligned}[/tex]

Question 3

Add function h(x) and function g(x) together:

[tex]\begin{aligned} \implies h(x)+g(x) & = (-3x+4)+(4x^2+2x+1)\\& = -3x+4+4x^2+2x+1\\& = 4x^2-3x+2x+4+1\\& = 4x^2-x+5\end{aligned}[/tex]

Question 4

Subtract function f(x) from function h(x):

[tex]\begin{aligned} \implies h(x)-f(x) & = (-3x+4)-(4x^2+2)\\ & = -3x+4-4x^2-2\\ & = -4x^2-3x+4-2\\ & = -4x^2-3x+2\end{aligned}[/tex]

Question 5

Add function g(x) when x = 2 to function f(x):

[tex]\begin{aligned} \implies g(2)+f(x) & = \left(4(2)^2+2(2)+1\right)+(4x^2+2)\\& = 4(4)+2(2)+1+4x^2+2\\& = 16+4+1+4x^2+2\\& = 4x^2+16+4+1+2\\& = 4x^2+23\end{aligned}[/tex]

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Your original investment in a start-up company was $4200

Let you invested x dollars in a start-up company.

Now your investment has gained 60% and is worth $6,720.

We write above statement as a mathematical expression.

From given information, x + (60 percent of x) = 6720

So we get an equation,

x + (0.6 x) = 6720

We solve above equation for x.

1.6 x = 6720

x = 6720 / 1.6

x = 4200 dollars

This means, initially you invested $4,200

Therefore, your original investment in a start-up company was $4200

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Answer: compliment = (90-c)

supplementary = (180-c)

Step-by-step explanation:

Answer:

So from the general equation of line passing through two points is (y-y')=m(x-x') Where m is slope of the line and (x'y') be any any point out of these given two points. So, from the formula of slope m m (Y2 - Y1)/(x2-x1) So, m = 2-(-4)/(−2 − 1) m=-2 So equation of line will be (y-2)=-2(x+2) y-2=-2x-4 2x+y+2=0

Answer:

Step-by-step explanation:

(8 + 1)/(4 + 2)= 9/6 = 3/2

y + 1 = 3/2(x + 2)

y + 1 = 3/2x + 3

y = 3/2x + 2

Answer:

x = 19

z = 64

Step-by-step explanation:

Angles (11x - 93)° and 116° are vertical angles, so their measures are equal.

11x - 93 = 116

11x = 209

x = 19

Angles z° and 116° are a linear pair, so they are supplementary, and their measures have a sum of 180°

z + 116 = 180

z = 64

Answer:

No Solution

Step-by-step explanation:

13+6h= -11+6h

Bring 6h over to the left side of the equation and subtract it from the other 6h. You have to subtract because it's a positive number, and you must do the opposite operation.

6 - 6 = 0, so there are no solutions. Once h is proven to be 0, you can't do anything else.

Hopefully this helps!

Answer:

20

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A i tunk

Answer: A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven.

Step-by-step explanation:

Hope this helps you! :) have an amazing day! ^-^

The greatest number of medium squares that Talia can cut from this​ piece is 17. 89 centimeters

From the information given, we have that;

The area of the square piece is 320 square centimeters.

It is important to note that the formula for area of a square is expressed as;

Area = a ²

Where a is the length of it's side

Let's substitute the value of the area in the formula

320 = a²

Take the square root of both sides

a = √320

a = 17. 89 centimeters

Thus, the greatest number of medium squares that Talia can cut from this​ piece is 17. 89 centimeters

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Answer: C. 45°

Step-by-step explanation:

             These two given angles are corresponding angles. Corresponding angles are always equal to each other. In other words, they are congruent.

                                 x° = 45°

The expression 3g in the numerator represent the total amount of money paid for the gallons of gas.

Given expression:3g / 4

where,

Therefore, the expression 3g in the numerator represent the total amount of money paid for the gallons of gas.

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Answer:

B

Step-by-step explanation:

Answer:

m

Step-by-step explanation:

After the solution, the answer to the given fraction [tex]-3\frac{5}{6} *4\frac{1}{2}[/tex] is 9.75.

So, [tex]-3\frac{5}{6} *4\frac{1}{2}[/tex]:

Therefore, the solution of the given fraction is 9.75.

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Answer: wheres the answer choices

Step-by-step explanation: good for roderick

Approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.

According to the given question.

Total number of students in the class is 285.

And 58.6 percent of the total students are men.

As we know that, a relative value indicating hundredth parts of any quantity is called a percent.

Therefore,

the total number of men in the class

= 58.6 percent of 285

= (58.6/100) × 285

= 0.586 × 285

= 167.01

Hence, approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.

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Zoe travels 380 yards on foot from her home to the bus station. The distance between Zoe's home and the bus stop fluctuates from 250 yards to 410 yards when her distance from her home rises from 50 yards to 210 yards.

Distance is the measurement of the separation between two points. Since distance is a scalar quantity, it solely cares about its measurement or amount. Distance is measured and often stated in terms of meters in SI units (m).

Given,

zoe walks from her house to a bus stop that is 460 yards

and zoe's distance from her house increases from 50 yards to 210 yards,

So,

d1 = 460 yards - 50 yards

= 410 yards

d2 = 460 yards - 210 yards

= 250 yards

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Answer: x=59 1/10     x=59.1

Step-by-step explanation:

Water main valves should be located at frequent intervals in a grid system.

The flow and temperature in pipes and plumbing fittings are controlled by water valves. The valves regulate steady flow and volume when they are correctly placed and used. Water valves are made of brass, plastic, stainless steel, bronze, cast iron, and galvanised pipe, among other materials.

The master cutoff valve for the house will typically feature a wheel (a gate valve) or a straight handle (ball valve). The wheel on gate valves (seen on the right) is turned clockwise until the water is shut off. To turn off the water, turn the handle of a ball valve a quarter turn in the opposite direction. Every house has two main water shutoff valves: one inside and one near the intersection of your property and the street.

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The largest number of dress length that could be cut is 66.

The dressmaker measures a length of fabric as 600 meters correct to the nearest 5 meters.

He cuts this into dress lengths of 9cm correct to the nearest meters.

The largest number of complete dress length he could cut can be calculated as follows:

largest number of dress length cut = 600 / 9

largest number of dress length cut = 66.6666666667

largest number of dress length cut ≈ 66

Therefore, the largest number of dress length that could be cut is 66.  

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Answer:

The result of decimal expansion of  [tex]8/15[/tex] is [tex]0.533[/tex].

Step-by-step explanation:

Hence the decimal expansion by simple division of [tex]8/15[/tex] is [tex]0.533[/tex].

Answer:

14

Step-by-step explanation:

For the given line segment, the value of variable d is 2 units and the value of YZ is 16 units.

Given that, Y is between X and Z.

We need to find the value of the variable and YZ.

A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.

Given that, XY=11d, YZ=9d-2, XZ=5d+28

Here, the line segment XZ is sum of XY and YZ

That is, XZ=XY+YZ (∵Y is between X and Z)

⇒5d+28=11d+9d-2

⇒5d+28=20d-2 (Add like terms that is 11d+9d=20d)

⇒20d-5d=28+2

⇒15d=30

⇒d=2

So, YZ=9d-2

=9×2-2=18-2

=16

Therefore, the value of variable d is 2 units and the value of YZ is 16 units.

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Median for the number of sick days of the employees is 5

A statistical phrase that splits the data into four quarters is called a quartile. On the number line, it essentially separates the data points into a data set into four quarters. It essentially serves as an extended middle. Data is divided into two equal parts by the median, and into four parts by the quartiles.

Solution:

Stem and leaf plot from Minitab of the number of sick days of the employees is,

2, 3, 3, 5, 7, 10, 10, 7, 5, 3, 2

Arrange the numbers in the ascending order,

2, 2, 3, 3 ,3, 5, 5, 7, 7, 10, 10

Here,

[tex]number\;of\;data=10[/tex]

We know that the Quartile 2 is spilt the data in to two like median,

[tex]Q_{2}=(\frac{n+1}{2}) ^{th\;term}[/tex]

[tex]Q_{2}=(\frac{11+1}{2}) ^{th\;term}[/tex]

[tex]Q_{2}=(\frac{12}{2}) ^{th\;term}[/tex]

[tex]Q_{2}=6 ^{th\;term}[/tex]

Therefore, the 6th term is, 5

Median = 5

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Answer:

s = 4 m

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length )

given A = 16 m² , then

s² = 16 ( take square root of both sides )

s = [tex]\sqrt{16}[/tex] = 4 m

Answer:

4m

Step-by-step explanation:

All the sides of a square are equal lengths. So 2 numbers that are the same must equal 16m^2.

A number times itself is known as a square number. The value of this square number is 16 m².

It can be shown like this:

a²= 16 m² or a×a = 16 m²

The reverse of squaring numbers is square root. To find the value of one side you can do √16. √16 = 4. We can check this by substituting (replacing) 4 in the place of 'a' to see if the answer is 16.

a×a = 16 m²

4 × 4 = 16

Therefore, the length of one side of the square equals to 4m.

Answer:

He bought 3.8 pounds of streaks for 31.35$

Answer for steak cost per pound = 8.25$

Step-by-step explanation:

You have to divide 31.35 from 3.8.

31.35 ÷ 3.8

= 8.25

8.25 is how much the steak cost per pound.

If you multiply 8.25 x 3.8

It equals = 31.35.

Answer:

$8.25 per pound.  See attached image.

Step-by-step explanation:

How to Do Long Division with Decimals

If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. Then move the decimal point in the number you're dividing the same number of places to the right.

Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.

Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.

Answer:

9

Step-by-step explanation:

6x+15=27

6x=27-15

6x=12

x=2

2x+5=(2)(2)+5

= 4+5

= 9

Step-by-step explanation:

f=ma

force=mass×acceleration

=32×2

=64N