The function f(x) and g(x) are graphed below. If g(x)=f(x+k) what is the value of k?

Answer:

Step-by-step explanation:

a hexagonal prism is made up of two bases that are hexagons and six faces that are rectangles.

Lateral surface area, LA = Perimeter × height

Perimeter = number of sides × length of each side

Perimeter, P = 6 × 10 = 60

LA = 60 × 12 = 720 units squared

Area of each base, B = 1/2a × perimeter

Where

a = apotherm

We would determine the length of the apotherm of each base of the prism by applying the formula,

a = s/[2tan(180/n)]

Where

s = length of each side = 10

n = 6 sides

a = 10/[2tan(180/6) = 10/[2tan30)

a = 8.66

B = 1/2 × 8.66 × 60 = 259.8

Total surface area = LA + 2B

Total surface area = 720 + 2 × 259.8 = 1239.6 units squared

Answer:

64.5 m

Step-by-step explanation:

1)  Find the width:  A = L*W, and so W = A / L  =  (256.5 m²) / (18 m) = 14.25 m.

2)  Find the perimeter, using the formula P = 2L + 2W:

Here P = 2(14.25 m) + 2( 18 m) = 64.5 m

Answer: x = 0, y = 7

-x+y=7

add x to both sides

y=x+7

plug this in for y in the other equation

6x-(x+7)=-7​

simplify

6x-x-7=-7

simplify

5x-7=-7

add 7 to both sides

5x=0

divide both sides by 5

x=0

plug in to one of the equations to find y

-(0)+y=7

y=7

Therefore, x=0 and y=7.

Hope this helps!

Answer:

x = 0. y = 7. (0,7)

Step-by-step explanation:

-x+y=7

+x. +x

y = x +7

6x-y= -7

6x - (x + 7) = -7

6x - x - 7 = -7

5x -7 = -7

+ 7. +7

5x = 0

÷5. ÷5

x = 0

-x + y = 7

0 + y = 7

y = 7

Answer:

x/2 = 12.5/5

5 · x = 12.5 · 2

5x = 25

5x / 5 = 25 / 5

x = 5

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got 100% on a quiz

Answer:

2/26

Step-by-step explanation:

The total number of students = 26 students

Number of students that like maths = 15 students

Number of students that like English = 13 students

Number of students that does not like English or maths = 9

We have to find the number of students that likes both Maths and English.

Therefore,

Let x be the number of student that like both Maths and English subjects

15 - x + x + 13 - x + 9 = 26

-x + 37 = 26

-x = -11

x = 11

Number of student that offer english but not math

 Number of students that like English but not Maths   = Number of Students that like English - Number of students that like English and Maths

= 13 - 11                                                 = 2 

Therefore, probability that a student chosen at random like English but not Maths.    

Probability = Number of events ÷ Number of possible outcomes  

Number of events = Number of students that like English but not Maths= 2

Number of Possible outcomes = Total number of students = 26 

The probability that a student chosen at random like English but not Maths.

= 2/26

Answer:

0.7048

Step-by-step explanation:

∫₂⁴ 1 / (x − 1)² dx

n = 4, so we divide the interval into 4 regions.  The width of the regions is:

(4 − 2) / 4 = 0.5

So the intervals are (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).

Evaluate f(x) at the ends of each interval.

f(2) = 1

f(2.5) = 4/9

f(3) = 1/4

f(3.5) = 4/25

f(4) = 1/9

Find the area of each trapezoid:

A₁ = ½ (2.5 − 2) (1 + 4/9) = 13/36

A₂ = ½ (3 − 2.5) (4/9 + 1/4) = 25/144

A₃ = ½ (3.5 − 3) (1/4 + 4/25) = 41/400

A₄ = ½ (4 − 3.5) (4/25 + 1/9) = 61/900

So the total approximate area is:

A = 0.705

Closest answer is 0.7048.

The value of expression is,

⇒ 0.7048

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

⇒ ∫₂⁴ 1 / (x − 1)² dx

Now, For n = 4, we divide the interval into 4 regions.  

Hence, The width of the regions is:

= (4 − 2) / 4

= 0.5

Thus, the intervals are,

⇒ (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).

Thus, We can evaluate f(x) at the ends of each interval as,

f(2) = 1

f(2.5) = 4/9

f(3) = 1/4

f(3.5) = 4/25

f(4) = 1/9

Hence, the area of each trapezoid are,

A₁ = 1/2 (2.5 − 2) (1 + 4/9) = 13/36

A₂ = 1/2 (3 − 2.5) (4/9 + 1/4) = 25/144

A₃ = 1/2 (3.5 − 3) (1/4 + 4/25) = 41/400

A₄ = 1/2 (4 − 3.5) (4/25 + 1/9) = 61/900

Therefore, the total approximate area is:

A = A₁ + A₂ + A₃ + A₄

A = 0.7048

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Answer:

in the ordered pair, (0,4), the zero represents the x number, meaning that you would not move in any direction on the x axis( it stays on the origin). the 4 means you will move 4 units up the y axis. in the end you will have one point that in 4 units up from the origin.

Step-by-step explanation:

Answer:

The result for the equation is [tex]x = -8[/tex] .

Step-by-step explanation:

-Solve the equation:

[tex]0.75x -0.5 =x +1.5[/tex]

-Subtract [tex]x[/tex] from [tex]0.75x[/tex] :

[tex]0.75x -0.5-x =x -x+1.5[/tex]

[tex]-0.25x -0.5 = 1.5[/tex]

-Add both sides by 0.5 :

[tex]-0.25x -0.5 +0.5 =1.5 +0.5[/tex]

[tex]-0.25x = 2[/tex]

-Divide both sides by 0.25 :

[tex]\frac{-0.25x}{-0.25} =\frac{2}{-0.25}[/tex]

[tex]x = -8[/tex]

So, the answer for the equation is [tex]x = -8[/tex] .

Answer:

[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]

If we convert the height to meters like this:

[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]

And we want to find the volume of the cone and is given by:

[tex] V = \pi r^2 h[/tex]

And replacing we got:

[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]

Step-by-step explanation:

For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:

[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]

If we convert the height to meters like this:

[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]

And we want to find the volume of the cone and is given by:

[tex] V = \pi r^2 h[/tex]

And replacing we got:

[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]

Answer:

No, it’s 7.50

Step-by-step explanation:

The discounted price is 7.5, but according to question the discounted price is $10. Therefore given statement is wrong.

Percentage is a measurement to find value of given number out of hundred.

Given that,

Cost price of one shirt = $10.

Also, Shopkeeper marks up 50 % on shirts.

Marked up price = 10 x 50% = 10 x 50 / 100 = $15

Since, shopkeeper gives discount as put the shirts on sale for 50% off.

So the price after giving discount = 15 x 50 / 100 = 7.5

The discounted price of shirt is 7.5.

Hence, the given statement that is discount price is $10 is incorrect.

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Answer:

50 yards

Step-by-step explanation:pythogourus theorem apply here

a²+b²=c²

40²+30²=c²

c²=2500

c=√2500

c=50 yards

hope this helps

plz mark me brainliest

Answer:

196 pi, otherwise known as choice b

Step-by-step explanation:

14^2*pi

Answer:

b

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^2[/tex]. Plugging in the radius that you are given, you get [tex]\pi \cdot 14^2=196\pi[/tex], or answer choice b. Hope this helps!

Answer: Mode

Step-by-step explanation:

There are three main measures of central tendency: the mode, the median and the mean.

Since the boy has to purchase the brand which is most liked by children, he is using mode.

The mode is the most commonly occurring value in a distribution. That is, the value that occurs most frequently in a set of observations

Answer:

10,000 m^3 of water can fill the pool.

Step-by-step explanation:

volume of a rectangular prism is length * width * height (depth)

100*25*4=2500*4=10,000

Therefore, 10,000 m^3 of water can fill the pool.

I hope this helped and have a good rest of your day!

Answer: [tex]A=2\pi rh+2\pi r^2[/tex]

The guy on the top is rite. ☻♥

Answer:

45

Step-by-step explanation:

A number consists of 2 digits whose sum is 9 => x + y = 9

If the order of the numbers is inverted, the result is equal to the given number plus 9 units => (10*y + x) + 9 = (10*x + y)

Thus:

x + y = 9  => multiply by -9 => 9*y + 9*x = 81

10*y + x + 9 = 10*x + y =>  9*y - 9*x = -9

We are left then that:

9*y + 9*x = 81  (1)

9*y - 9*x = -9  (2)

we add both equations

18y = 72

y = 72/18 = 4

replacing

x + y = 9

x + 4 = 9

x = 5

Therefore the number is (10y + x) => (10 * 4 + 5) => 45

Answer:

Step-by-step explanation:

Price of one pound of apples = $1.49

∴Price of 2 and 1/2 pound of apples = [tex]2\frac{1}{2}[/tex] × [tex]1.49[/tex]

                                                            = 2.5 × 1.49

                                                            = 3.725

                                                            = $ 3.73

Hope this helps!!

Please mark as Brainliest!!

Answer:

$3.73

Step-by-step explanation:

Answer:

first three

Step-by-step explanation:

go directly to the x- value ed2020

first second and third

!:)

Answer:B D

Step-by-step explanation:

I just got it right

Answer:

104800

Step-by-step explanation:

The revenue is the profit times the number of computers sold

R(t) = P(t) *  N(t)

              = (13t^2-25t+600) * ( 5t+106)

We want the revenue in 2010 which is 5 years from 2005  so t = 5

R(5) = (13* 5^2-25*5+600) * ( 5*5+106)

       = (13 *25 - 125+600)*(25+106)

      = (325-125+600) * ( 25+106)

        (325-125+600) * ( 25+106)

         800* 131

          104800

Answer:

104,800

Step-by-step explanation:

2010 is 5 years after 2005, so t = 5

The number of computers sold:

N(5)=5(5)+106 = 131

Price per computer:

P(t)=13(5²)-25(5)+600 = 800

Revenue:

N × P

131 × 800

104800

Answer:

No

Step-by-step explanation:

If segment AB is tangent to the circle, then angle CBA will be a right angle, making triangle ABC a right triangle. If triangle ABC is a right triangle, it's sides will fit the Pythagorean theorem...

(leg)^2 + (leg)^2 = (hypotenuse)^2

Does 8^2 + 16^2 = 19^2 ?

64 + 256 does not equal 361!

Triangle ABC is NOT a right triangle, so segment AB is not tangent to the circle.

I assume this is the intersection of two lines, i.e. -1/2y is (-1/2)y.  Please tell me if it's really -1/(2y).

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

Multiplying both sides by -2

y = - x - 10

The other equation is

y = 2x + 2

We can equate them to find the meet

y = - x - 10 = 2x + 2

-3x = 12

x = -4

y = 2x + 2 = -6

Check:  (-1/2)y=3, (1/2)x+5=3, equal, good

2x+2=2(-4)+2=-6=y, good

Answer: x=-4, y=-6

Answer:

c

Step-by-step explanation:

Answer:

Cc

Step-by-step explanation:

Answer:

The area of Polygon

W

WW is

49

4949 square units.

Step-by-step explanation: dk

Scale factors are used to enlarge or reduce the size of a shape

The area of polygon w is 49 square units

The area of polygon v is given as:

[tex]v =1[/tex]

The scale factor of the sides of polygon v, that forms polygon w is given as:

[tex]k=7[/tex]

The area of polygon w is then calculated as:

[tex]w =v\times k^2[/tex]

So, we have:

[tex]w =1\times 7^2[/tex]

Evaluate the exponents

[tex]w =1\times 49[/tex]

Multiply 1 and 49

[tex]w =49[/tex]

Hence, the area of polygon w is 49 square units

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Answer:

90

Step-by-step explanation:

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

Answer:

The answer is "5 years".

Step-by-step explanation:

[tex]S.I= \$ \ 112.00\\\\P= \$ \ 560.00\\\\R= 4 \%\\\\T=?\\\\\bold{Formula:}\\\\\bold{S.I= \frac{P \times R \times T}{100}}\\\\T= \frac{S.I \times 100}{P \times R}\\\\T= \frac{112\times 100}{560 \times 4}\\\\T= \frac{28\times 100}{560}\\\\T=\frac{100}{20}\\\\T=5 \ years\\[/tex]

Answer:

it depends

Step-by-step explanation:

to be honest with you

Answer:

the Hispanics can and cant say the n word

Step-by-step explanation:

because the Hispanics might have black friends or can have their ancestors genetics for blacks and also their not the same color as the whites aka americans

Answer:

Step-by-step explanation:

Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.

The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...

  triangle, rectangle, square, pentagon, hexagon

__

The attachment shows some possibilities.