If x=4, calculate the value of: x2 +2x

Answers

Answer 1
Answer: We simply need to plug in x = 4 into x² + 2x

So plugging in x = 4, we get:

4² + 2(4)

Simplifying it, we get:

16 + 2(4)
16 + 8
24

When x = 4, x² + 2x will equal 24.
Answer 2
Answer: If x = 4

x² + 2x = 24

Substitute x by its value

4² + 2(4) 
16 + 8 = 24




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Percent of change from 125cm to 87.5cm

Answers

Answer:

Percentage change from 125cm to 87.5cm is 30% decrease.

Step-by-step explanation:

Percentage change of a to b is given by

                       \texttt{Percentage change =}(b-a)/(a)* 100

Here we have a = 125 and b = 87.5

Substituting

                  \texttt{Percentage change =}(87.5-125)/(125)* 100=(-37.5)/(125)* 100=-30\%

Percentage change from 125cm to 87.5cm is -30%.

That is 30 decrease.

Percentage change from 125cm to 87.5cm is 30% decrease.

Percent Change from 125cm to 87.5cm

% Change = (87.5 - 125) / 125  * 100%

                 =  -37.5 / 125 * 100%

                 = -0.3 * 100%

                 = -30 %

The percent change is -30 %  or 30% decrease. 

The composite figures below are made of right prisms.Note: figures not drawn to scale.

Place the figures in order from least surface area to greatest surface area.

Answers

Answer:

Figure 1's surface area: 550 feet^2

Figure 2's surface area: 530 feet^2

Figure 3's surface area: 790 feet^2

So, the order of the figures' surface areas is: Figure 2 < Figure 1 < Figure 3.

 

Step-by-step explanation:

Bearing in mind that the surface area of a 3D object is the total area of its surface (that is the sum of the areas of its faces), we can count the number of distinct shapes in each figure, calculate their areas and add them up. Be careful not to add the faces that are "inside".

Figure 1

Its surface area consists of 13 squares of 5x5feet^2and 3 rectangles of 15x5feet^2. So, its surface area is (13x25 + 3x75)feet^2 = 550feet^2

Figure 2

Its surface area consists of 6 squares of 5x5feet^2,  3 rectangles of 17x5feet^2, 1 rectangle of 13x5feet^2 and 2 triangles of base 12 feet and height 5 feet. So, its surface area is (17x5x3+6x5x5+13x5+12x5x2:2)feet^2 = 530feet^2

Figure 3

Its surface area consists of 2 rectangles of 12.5x5feet^2, 1 rectangle of 11x5feet^2, 2 triangles of base 12 feet and height 5 feet, 1 rectangle of 11x13feet^2, 2 rectangles of 12.5x11feet^2 and 1 rectangle of 12x11feet^2.

So, its surface area is (2x12.5x5+11x5+2x12x5:2+11x13+2x12.5x11+12x11)feet^2 = 790feet^2

Answer:

Least surface area to greatest surface area:

Blue - Red - Green

Step-by-step explanation:

All the surfaces of the shapes are rectangles, then their surface is computed as:

Surface = Length*Width

Blue figure

Area of the top:

5*5 + 5*5 + 5*5 + 5*5 + 5*5 = 125 ft^2

Area of the sides:

2*(5*10) = 100 ft^2

Area of the bottom:

10*5 = 50 ft^2

Area of the front and the back

2*(5*5 + 15*5) = 200 ft^2

Total: 125 + 100 + 50 + 200 = 475 ft^2

Red figure

Area of the top:

5*5 + 13*5 = 90 ft^2

Area of the left side:

5*10 = 50 ft^2

Area of the right side:

5*5 = 25 ft^2

Area of the bottom:

17*5 = 85 ft^2  

Area of the front and the back:

2*(17*5 + 12*5/2 + 5*5) = 280 ft^2

Total: 90 + 50 + 25 + 85 + 280 = 530 ft^2

Green figure

Area of the top:

12.5*11 + 13*11 = 280.5 ft^2

Area of the left side:

11*5 = 55 ft^2

Area of the bottom:

(12.5+12)*11 = 269.5 ft^2

Area of the front and the back:

2*(12.5*5 + 12*5/2) = 185 ft^2

Total: 280.5 + 55 + 269.5 + 185 =  790 ft^2

HURRY PLEASE WHOEVER ANSWERS FIRST WILL BE THE BRAINLIEST!!!Which statement best explains the relationship between lines FG and HJ?

A.They are perpendicular because their slopes are equal.
B.They are perpendicular because their slopes are negative reciprocals.
C.They are not perpendicular because their slopes are equal.
D.They are not perpendicular because their slopes are not negative reciprocals.

Answers

we know that

If two lines are perpendicular then, the product of their slopes is equal to minus one, that means that their slopes are negative reciprocals

so

m1*m2=-1

Step 1

Find the slope of the line HJ

H(-4,-2)\nJ(0,4)

we know that

the slope between two points is equal to

m=((y2-y1))/((x2-x1))

substitute the values

m1=((4+2))/((0+4))

m1=((6))/((4))

m1=(3)/(2)

Step 2

Find the slope of the line HJ

F(-4,1)\nG(0,-2)

we know that

the slope between two points is equal to

m=((y2-y1))/((x2-x1))

substitute the values

m2=((-2-1))/((0+4))

m2=((-3))/((4))

m2=-(3)/(4)

Step 3

Verify if the two lines are perpendicular

m1=(3)/(2)

m2=-(3)/(4)

Find the product m1 by m2

(3)/(2)*-(3)/(4)=-(9)/(8)

so

-(9)/(8)\neq -1 --------> the slopes are not negative reciprocals

therefore

the answer is the option

D.They are not perpendicular because their slopes are not negative reciprocals

The answer to this question is B. They are perpendicular because their slopes are negative reciprocals.

Two lines can be perpendicular if they make a 90 degree angle and/or their slopes are negative reciprocals.

I need help with this question someone please help and explain. Find the sum of the first twenty-seven terms of an arithmetic series whose first term is -8 and the sum of the first seven-term is 28.

Answers

Answer:

The sum of the first twenty-seven terms is 1,188

Step-by-step explanation:

we know that

The formula of the sum in arithmetic sequence is equal to

S=(n)/(2)[2a1+(n-1)d]

where

n is the number of terms

a1 is the first term

d is the common difference (constant)

step 1

Find the common difference d

we have

n=7

a1=-8

S=28

substitute and solve for d

28=(7)/(2)[2(-8)+(7-1)d]

28=(7)/(2)[-16+(6)d]

8=[-16+(6)d]

8+16=(6)d

d=24/(6)=4

step 2

Find the sum of the first twenty-seven terms

we have

n=27

a1=-8

d=4

substitute

S=(27)/(2)[2(-8)+(27-1)(4)]

S=(27)/(2)[(-16)+(104)]

S=(27)/(2)88]

S=1,188

(3+(16+8)divided by 8)times 7

Answers

your answer is 42 
Hope its right!!!!!
yea i will have to agree with the correct answer as 42 hope i helped you out in some kind of way

There are 34 adults and children13 on tour how much money will the group save by visiting the main deck of the observation tower instead of the top deckexplain your answer


tower main deck adult $25
tower main deck child $19
top deck all $32

Answers

You would save 407 dollars by getting the kids at 19 a piece and the adults at 25 a piece instead of paying the 32 dollars for each person