the L-shaped room shown is to be carpeted with carpet that costs $3.89 per square foot. What will be the cost of the carpet?

Answer:

See the explanation

Step-by-step explanation:

The given function is:

f(x) = 5ˣ

Transformation of a parent function is given by the formula:

g(x) = k · f(x + a) + b

Where

k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1

f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0

f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0

In the question it is given:

k = 1/2

Shifts right by 3 units ⇒ a = -3

Shift up by 2 units ⇒ b = 2

Substitute in the formula:

g(x) = (1/2) · f(x - 3) + 2

[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]

Answer:

I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6

Step-by-step explanation:

The distance between the two lakes = 633.9 ft. So, we take the 4th option.

By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,

c = √(a² + b² - 2.a.b.cos γ)

To solve the question, we will use the law of cosines.

Let a = 560 ft., b = 350 ft., c = d (unknown distance).

γ = 160° - 75° = 85°.

We substitute the values in the formula to get,

d = √(560² + 350² - 2(560)(350)(cos 85°)

or, d = √(313600 + 122500 - 392000*0.0871)

or, d = √(436100 - 34165.05116)

or, d = √401934.948842

or, d = 633.983397

So, we take d = 633.9 ft., the 4th option.

∴ The distance between the two lakes = 633.9 ft.

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Answer:

a. $ 2,431.01 = 4 years

b. $ 4,584.04  = 17 years

c. 4.57 years = $ 2,499.57

d. 8.3 year = $ 2,998.48

e.  $ 2,431.01 = 4 years

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

If I'm guessing, you're supposed to write an equation. So the answer would be yx + 12y.

Step-by-step explanation:

Answer:

the answer is y(12-x)

Step-by-step explanation:

i took the text and it said i got it right hope i helped have a great day/night and so soorry if i get it wrong byee

Answer:

x≤-3      2 ≤x<7  

Step-by-step explanation:

(x^2+x-6) /(x-7) ≤0

Factor the numerator

(x+3)(x-2) / (x-7)≤0

Critical points are

X =-3  X =2  X=7

We need to check the values when

x≤3  -3 ≤ x≤2           2 ≤x<7   x>7  

(x cannot be 7 because then the denominator is zero)

and see when it is less than 0

Substitute a value in and see if factor is positive or negative

x≤-3

(negative)(negative) / (negative) =   negative

-3 ≤x≤2    

(positive)(negative) / (negative) = positive  this range does not work

      2 ≤x<7  

(positive)(positive) / (negative) = negative

x>7

(positive)(positive) / (positive)

Answer:

The second option is the correct answer.

Thank you.

I've answered as fast as I can to answer your question.Hope you understood it.

Pls mark my answer as brainliest and follow me.

Answer: Area= square

A=5×5= 25

A=triangle 1 & 3

5×10= 50÷2= 25 25+25=50

A=triangle 2&4

10×5=50÷2=25×2=50

Area of 1-4= 25+50+50= 125

A= 125

I hope u get what ur looking for and I wish u give me brainlist But I know u won't cuz everyone say that . But thank you so much if u put for me and It would be a very appreciated from you and again thank you so much

Answer:

y=7/10+3/10

Step-by-step explanation:

Answer:

(0, 0)

Step-by-step explanation:

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

(-5+5)/2=0/2= 0

(0, 0)- mid point

Answer:

[tex](4,-5);(-4,5)[/tex]

Remember this can be interpreted as:

[tex](x_1,y_1);(x_2,y_2)[/tex]

Looking at our x values first we have:

[tex]\frac{4+(-4)}{2}=\frac{0}{2}=0[/tex]

Looking at our y values we have:

[tex]\frac{-5+5}{2}=\frac{0}{2}=0[/tex]

So our midpoint would be the point [tex](0,0)[/tex]

Answer:

16.50 dollars

Step-by-step explanation:

We can use proportion

8 euros --- 11 dollars

12 euros --- x dollars

x = 12 * 11/8 = 16.5= 16.50 dollars

Answer:

16.5 dollars

Step-by-step explanation:

Let's make a proportion using the following setup.

dollars/euros=dollars/euros

Tommy can get 11 dollars for 8 euros.  We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.

11 dollars/8 euros=x dollars/12 euros

11/8=x/12

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.

12*(11/8)=(x/12)*12

12*11/8=x

12*1.375=x

16.5=x

Tommy can get $16.50 with 12 euros.

Answer:

Step-by-step explanation:B

Answer:

0.67 gallon of water

Answer:

c ≅ 35.4 cm.

Step-by-step explanation:

To find the length of the Hypotenuse of a triangle, the formula  a² + b² = c² will need to be used. Therefore:

26² + 24² = c² (c is the hypotenuse)

1252 = c²

√1252 = c

c ≈35.38

Round to tenths place:

c ≅ 35.4 cm. This is the Hypotenuse of the triangle.

Answer:

The length of the radius is 3cm.

Step-by-step explanation:

Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 6 \div 2[/tex]

[tex]radius = 3cm[/tex]

Answer:

[tex]6^{2} - 3^{2} \pi[/tex] = area of the black  7.725666

[tex]x^{2} - r^{2} \pi[/tex]

area of square - area of circle

the diameter of the circle is 6 and half that is the radius = 3

Answer:

B

Step-by-step explanation:

If you switch the x and y you can solve for the inverse by solving for y like this:

x=3y+5

3y=x-5

y=(x-5)/3

which can be rewritten as B.

Answer:

1.548 gallons

Step-by-step explanation:

Length of the rectangular wall = 25.1 ft.

Width of the rectangular wall = 18.5 ft.

Area of the rectangular wall = length * width = 25.1 * 18.5

= 464.35 square feet

300 square feet wall can be painted using 1 gallon of paint.

=> 1 square feet wall can be painted using  gallon of paint.

=> 464.35 square feet wall can be painted using  gallon of paint.

= 1.548 gallons of paint

Answer:

4 gallons

Step-by-step explanation:

The first thing you want to do is times 22.8 * 17.3 = 394.44. Then what you want to do is see how much 100 square gallons can cover the area : 4. If we make it 3 it is going under if it is 4 it can cover the whole thing, and if we make it 5 we have a little much.

Answer: $5462.50

Step-by-step explanation:

Interest = 5000 x 9.25 / 100 = 462.50

Amount to be paid

= 5000 + 462.50

= 5462.50

Answer:

B. 3(2^x)

Step-by-step explanation:

3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.

Answer:

7/20

Step-by-step explanation:

#red cards/total # of cards

7/(7+13)

7/20

Answer:

7/20

Step-by-step explanation:

Answer:

there is no square root for -1

because it is there only for natural numbers

not sure because i just learned but ik that there isn't any square root for -1

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = [tex]\frac{1}{2}[/tex] ← from (- 1, [tex]\frac{1}{2}[/tex] ) , thus

average rate of change = [tex]\frac{4-\frac{1}{2} }{2-(-1)}[/tex] = [tex]\frac{\frac{7}{2} }{3}[/tex] = [tex]\frac{7}{6}[/tex] → D

Answer:

Cube

Step-by-step explanation:

The front elevation, side elevation and plan of a cube are all square

Answer:

The name of the solid is cube.

Step-by-step explanation:

What is cube?

A cube is a three-dimensional solid figure, having 6 square faces. It is a geometrical shape with 6 equal faces, 8 vertices, and 12 equal edges.

What is elevation?

The view from the top is called the plan. The view from the front and sides are called the elevations (front elevation and side elevation).

The front elevation, side elevation and plan of a solid are all same shows a cube.

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Answer:

The area of a parallelogram is 360 in.²

Step-by-step explanation:

Where DG = GH

GP = 12 in.

AB = 39 in.

∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)

Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

Therefore, ∠GAB + ∠HBA = 90°

Hence, ∠BPA = 90° (Sum of interior angles of a triangle)

[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}[/tex]

We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ  ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}[/tex]

[tex]\angle GAB = cos^{-1} \left (\dfrac{36}{39} \right )[/tex]

∠GAB = 22.62°

[tex]cos(\angle GAB) = \dfrac{36}{39} = \dfrac{12}{GH}[/tex]

[tex]GH = \dfrac{39}{36} \times {12}[/tex]

GH = 13 in.

∴ AD 13 in.

BP = 39 × sin(22.62°) = 15 in.

GH = √(GP² + HP²)

∠DAB = 2 × 22.62° = 45.24°

The height of the parallelogram = AD × sin(∠DAB) =  13 × sin(45.24°)

The height of the parallelogram = 120/13 =  9.23 in.

The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²

Answer:

360 in2

Step-by-step explanation:

The figure ABCD is a parallelogram, so the side AB is parallel to the side DC, and that means the angle mBAG is equal the angle mHGP.

The angles mHGP and mAGD are vertically opposite angles, so mHGP = mAGD.

The angle mDAG is equal the angle mBAG, so mDAG = mBAG = mHGP = mAGD

The angles mDAG and mAGD are equal, so the triangle DAG is isosceles, that means the side DG is equal the side DA.

In the same way, we can find that the angle mCBH is equal the angle mBHC, so triangle BCH is isosceles, meaning that side BC (which is equal side AD) is equal side CH, so we have that:

DG + GH + HC = AB = 39

GH + GH + GH = 39

GH = 13

in the parallelogram we have the property:

mDAB + mABC = 180°

We have that mGAB = mDAB/2 and mABH = mABC/2, so using this information for the sum of internal angles of triangle APB, we have:

mGAB + mABH + mBPA = 180

mDAB/2 + mABC/2 + mBPA = 180

(180/2) + mBPA = 180

mBPA = 90°

If the triangle APB is a right triangle, we can find the cosine of the angle mHGP:

cos(mHGP) = GP / GH = 12 / 13

Then, we can find the sine of mHGP using:

sin(mHGP)^2 + cos(mHGP)^2 = 1

sin(mHGP)^2 + 144/169 = 1

sin(mHGP)^2 = 25/169

sin(mHGP) = 5/13

If we draw the height of the triangle GPH relative to the side GH, we have:

sin(mHGP) = height / GP

5 / 13 = height / 12

height = 60/13

The triangles GPH and APB are similar (using the case angle-angle), so we can use this relation to find the height 'h2' of the triangle APB:

height / (h2+height) = GH / AB

(60/13) / (h2 + (60/13)) = 13/39 = 1/3

180 / 13 = h2 + (60/13)

h2 = 120/13

Then the area of the parallelogram is:

Area = AB * h2 = 39 * 120/13 = 360 in2

Answer:

1/4

Step-by-step explanation:

1/4 on my calculator

The value of log 5 to the base 625 is 1/4 .

From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,

∴ log a to the base b = x

⇒ [tex]a = b^{x}[/tex]

Thus we can take log 5 to the base 625 = x

∴ [tex]5 = 625^{x}[/tex]

From the above equation, we can get the value of x as 1/4

Thus the value of log 5 to the base 625 is 1/4

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Answer:

B

Step-by-step explanation:

Am equivalent expression would be 2(-3w+(-11))= -6w-22

Sorry for my first answer

Mark wishing brainliest

Answer:

B. 2(-3w+(-11))

Step-by-step explanation:

-3(2w+6)-4=

-6w-18-4=

-6w-22=

2(-3w+(-11))

Answer:

250°

Step-by-step explanation:

The bearing of N from M is 70° + 180° = 250°

Answer:

[tex]y=4x^2+12x+9[/tex]

Step-by-step explanation:

Perform the square of the binomial, combine like terms, and then write the remaining expression in decreasing order of powers of x:

[tex]y=(2x+3)^2\\y=(2x+3)\,(2x+3)\\y=4x^2+6x+6x+9\\y=4x^2+12x+9[/tex]

Answer:

A,D,BC

Step-by-step explanation:

Answer:

6 Fancy shirts

Step-by-step explanation:

Answer:

3 people

Step-by-step explanation:

3 people as per picture

Answer:

3 people's are on both the golf team and the swim team