g(x) = x-6
Domain of g: ?
k(x) = x
Domain of k: x > 0
Range of k: y > 0

Answer:

149.28 m²

Step-by-step explanation:

Bottom and two sides of the rectangle: 3x4x6=72

Two square ends of the rectangle: 2x4x4=32

Two triangular sides of the prism: 2x1/2x2x6=12

Back of prism: 2x4=8

Top of prism: 4x6.32=25.28

72+32+12+8+25.28=149.28

Answer:

y=6x+18 or 72=6x+18

Step-by-step explanation:

18 represents the y intercept as 6x represents the constant variation

Answer:

C. progressive taxation

Step-by-step explanation:

Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.

There are three (3) types of taxation used by the government, these are;

1. Regressive taxation: it involves charging individuals with low incomes a higher percentage of their total income and vice-versa.

- For instance, John pays 15% on $60,000 and Joyce pays 20% on $36,000.

2. Proportional taxation: it involves charging both lower and higher income earners equally in proportion to their income.

- For instance, John pays 20% on $50,000 and Joyce pays 20% on $36,000.

3. Progressive taxation: it involves charging individuals having higher incomes a higher percentage of their total income.

- For instance, John pays 30% on $70,000 and Joyce pays 10% on $45.000.

Hence, if employees who make more money pay a higher percentage of their income to the government, this is known as progressive taxation.

Answer:

The answer should be $7,087.50

Step-by-step explanation:

4.50 x 50 = 225

225 x 1.05 = 236.25

236.25 x 30 = 7087.50

Compound interest is the interest we earned from the principal together with the interest.

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

P = $1125

R = 5% compounded annually

Time = 30 years.

The amount saved for retirement is $4861.13.

It is the interest we earned from the principal together with the interest.

The formula for the amount earned with compound interest after n years is given as:

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

We have,

Principal:

There are 5 weekdays in a week.

50 weeks = 50 x 5 weekdays = 250 weekdays.

One weekday = $4.50

250 weekdays = 250 x 4.50 = $1125

Now,

P = $1125

Rate = R = 5%

Time = T = 30 years

n = 1

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

A = 1125 [tex](1 + \frac{5}{100}) ^{30}[/tex]

A = 1125 x 4.321

A = 4861.125

A = $4861.13

Thus,

The amount saved for retirement is $4861.13.

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Answer:

a. Ratio of their circumference = 2:3

b. The ratio of their surface areas = 2:3

c. The ratio of their volume = 4:9

Step-by-step explanation:

Let the cylinders be labelled as A and B respectively.

Diameter of cylinder A = 6 in,

its radius = [tex]\frac{diameter}{2}[/tex]

                = [tex]\frac{6}{2}[/tex] = 3 in

Diameter of cylinder B = 9 in,

its radius = [tex]\frac{diameter}{2}[/tex]

               = [tex]\frac{9}{2}[/tex]  = 4.5 in

Thus,

a. circumference of a circle = 2[tex]\pi[/tex]r

Circumference of cylinder A = 2[tex]\pi[/tex]r

                                               = 2 x [tex]\pi[/tex] x 3

                                            = 6[tex]\pi[/tex] in

Circumference of cylinder B = 2[tex]\pi[/tex]r

                                              = 2 x [tex]\pi[/tex] x 4.5

                                              = 9[tex]\pi[/tex]

Ratio of their circumference = [tex]\frac{circumference of cylinder A}{circumference of cylinder B}[/tex]

                                               = [tex]\frac{6\pi }{9\pi }[/tex]

                                               = 2:3

b. The surface area of a cylinder = 2[tex]\pi[/tex]rh

the surface area of cylinder A = 2[tex]\pi[/tex]rh

                                                  = 6[tex]\pi[/tex]h

the surface area of cylinder B = 2[tex]\pi[/tex]rh

                                                = 9[tex]\pi[/tex]h

The ratio of their surface areas = [tex]\frac{surface area of cylinder A}{surface area of cylinder B}[/tex]

                                                 = [tex]\frac{6\pi h}{9\pi h}[/tex]

                                                 = 2:3

c. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

volume of cylinder A = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                = [tex]\pi[/tex] x [tex]3^{2}[/tex] x h

                                = 9[tex]\pi[/tex]h

volume of cylinder b = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                    = [tex]\pi[/tex] x [tex]4.5^{2}[/tex] x h

                                    = 20.25[tex]\pi[/tex]h

The ratio of their volume = [tex]\frac{volume of cylinder A}{volume of cylinder B}[/tex]

                                         = [tex]\frac{9\pi h}{20.25\pi h}[/tex]

                                         = 4:9

d=6in,9in

r=3in,4.5in

circumference:-

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]

LSA:-

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]

TSA

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]

[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]

[tex]\\ \sf\longmapsto 7:15[/tex]

Volume:-

[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3^2}{4.5^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{9}{20.25}[/tex]

[tex]\\ \sf\longmapsto 4:9[/tex]

Answer 230

Step-by-step explanation:

Add the area of the rectangle (160) to the area of the triangles (70 (35 each))

Area of a triangle 1/2bh

Answer:

d

Step-by-step explanation:

Answer:

14 9/16 - 8 1/4 = 14 9/16 - 8 4/16 =  233/16 - 132/16 = 101/16 = 6 5/16 ~~ 6

14 9/16 - 8 1/4 = 6

Answer:

165 pounds

Step-by-step explanation:

3 times 7 = 21

186 - 21 = 165

Answer:

$21,033

Step-by-step explanation:

The computation of the amount invested is shown below;

As we know that

Future value = Present value × (1 + rate of interest)^number of years

Now

Present value = Future value ÷  (1 + rate of interest)^number of years

where,

Rate of interest = 3.7% ÷ 12 = 0.3083333%

And, the number of years is = 13 × 12 = 156

So, the present value is

= $34,000 ÷ (1 + 0.3083333%)^156

= $21,033

Answer:

6

10

10

Step-by-step explanation:

3/5 x 10 = 30/5 = 6

5/6 x 12 = 60/6 = 10

5/8 x 16 = 80/8 = 10

Answer:

68 degrees

Step-by-step explanation:

60-12(12 degrees colder on Tuesday)=58

58+10(10 degrees warmer on Wednesday)=68

Answer:

12 cats or B

Step-by-step explanation:

Because there are 3 more dogs than cats and if there is 2 cats for every 5 dogs, 5x6=30 so 2x6=12.

Answer:

Equivalent

Step-by-step explanation:

both give 26 as answer

Answer:

B. No , b/c the sides are not congruent

Step-by-step explanation:

A square is a four-sided figure whose sides are all the same length and whose angles are all right angles measuring 90 degrees. To be a square, a shape must be all these things:

A plane figure

A closed shape

A regular polygon

A quadrilateral

Answer:460

Step-by-step explanation:on delta math

The total number of action figures in Genesis's collection will be 460.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.

The obtained expression for the given condition,

=253 / (1-0.45)

=253/0.55

=25300/55

=460

Thus, the total number of action figures in Genesis's collection will be 460.

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Answer:

Hi and have a great day!

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

a. What was the amount of interest paid by Debbie?

Interest is calculated as:

= PRT

= (16500 × 9% × 1)

= 16500 × 0.09 × 1

= $1485

Debbie paid $1485 as interest.

b. What was the interest rate paid by Jan?

Interest = PRT/100

6450 = (107500 × R × 1) / 100

6450 × 100 = 107500R

645000 = 107500R

R = 645000 / 107500

R = 6.0

The interest rate is 6.0%

Answer:

3 days 0 hours 0 minutes 48 seconds

Step-by-step explanation:

Seconds = 259248 s

Number of days = Seconds given / 86400

Where 86400  = seconds in a day

The result is: 3 days remaining 48 seconds

Hours = Seconds Left / 3600 seconds.

Since the seconds left is 48, the hour = 0

Minutes = Seconds Left / 60 seconds.

Since the seconds left is 48, the minute = 0

Result:

3 days 0 hours 0 minutes 48 seconds

Answer:

C both is the right answer

Answer:

x =23

Step-by-step explanation:

1) [tex]\frac{7x}{20x-4}[/tex] = [tex]\frac{3}{2x+2}[/tex]

2) Cross multiply - 14x+14=60x-12

3) Combine like terms - 46x=2

4) Divide - x=23

Answer:

7.6e+12 written in scientific notation is 7.6 x 10^12

(Hope this helps! Btw, I answered first. Brainliest please! :D)

Answer:

B

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation: