if f(x) = 3x-2 and g(x) =2x+1 fine (f-g)(x)

Answer:

2pi(3x + 7)

Step-by-step explanation:

In order to solve for the circumference, consider the area and circumference formulas. What is common among them? The radius. Take a look at their formulas below;

[tex]Circumference = 2\pi r,\\Area = \pi r^2,\\\\Where, r = radius[/tex]

Now if the area of this circle is given to be π ( 9x^2 + 42x + 49 ) we can plug it into the area formula as " Area " and solve for r ( radius );

[tex]\pi * ( 9x^2 + 42x + 49 ) = \pi r^2,\\( 9x^2 + 42x + 49 ) = r^2[/tex]

As you can see, π was eliminated on either side of the equation, leaving us with the simplified equation ( 9x^2 + 42x + 49 ). This expression is a perfect square. How so? Well you can rewrite the expression as ( 3x )^2 + 2 * ( 3x ) * ( 7 ) + ( 7 )^2, or ( 3x + 7 )^2;

[tex]( 3x + 7 )^2 = r^2,\\r = | 3x + 7 |,\\r = 3x + 7, r = - 3x - 7\\\\Solution, r = 3x + 7[/tex]

If r = 3x + 7, let us plug it into the circumference formula as to solve for the circumference;

[tex]Circumference = 2\pi r,\\Circumference = 2\pi * ( 3x + 7 )[/tex]

Solution = 2pi(3x + 7)

Answer:

The volume of the oven is 75 ft^3

Step-by-step explanation:

Here, we are interested in calculating the volume of a Pizza Kitchen’s oven which is shaped like a rectangular prism.

Now, to calculate this volume, what we do is to simply multiply the area of the base by the height of the oven.

Mathematically, the area of the base of the oven is simply = L * B = 5 * 5 = 25 ft^2

Now to get the volume, we multiply this by the height = 25 * 3 = 75 ft^3

Answer:

B

Step-by-step explanation:

I think you are right

Hope it helps

Answer:

2.45*10^-3

Step-by-step explanation:

The number 0.00245 expressed in standard form is; 2.45 × 10-³.

While expressing numbers in standard form;

We must ensure that only one significant digit appears before the decimal point.

The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.

Read more:

https://brainly.com/question/11288844

Step-by-step explanation:

4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.

7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9

Answer:

6 units cubed

Step-by-step explanation:

The volume will simply be the volumes of all the little cubes added together.

The volume of a cube is V = s³, where s is the side length. Here, it's 1/2, so:

V = s³ = (1/2)³ = 1/8 units cubed

We have 48 such cubes, so multiply 1/8 by 48 to get the total volume:

48 * (1/8) = 6 units cubed

Thus, the prism is 6 units cubed.

~ an aesthetics lover

Answer:

[tex] \boxed{\sf Volume \: of \: prism = 6 \: {units}^{3}} [/tex]

Given:

Total numbers of cubes in a prism = 48

Side length of each cube = [tex] \frac{1}{2} [/tex] unit

Step-by-step explanation:

[tex] \sf Volume \: of \: cube = {side}^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {( \frac{1}{2}) }^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \: { units}^{3} [/tex]

[tex] \sf \implies Volume \: of \: prism =Volume \: of \: cube \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{ \cancel{8}} \times \cancel{8} \times 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \: {units}^{3} [/tex]

Answer:A

Step-by-step explanation:  The range are all othe y values (the outputs) in chronological order

Answer:

Correct option: second one

Step-by-step explanation:

To find the composite function r(V(t)) (radius of the ball in relation to time being inflated), we just need to use the value of the equation V(t) in each value of V in the function r(V).

[tex]V(t) = 10t[/tex]

[tex]r(V)=\sqrt[3]{3V/4\pi}[/tex]

[tex]r(V(t))=\sqrt[3]{3V(t)/4\pi}[/tex]

[tex]r(V(t))=\sqrt[3]{3*10t/4\pi}[/tex]

[tex]r(V(t))=\sqrt[3]{30t/4\pi}[/tex]

Correct option: second one

Answer:BBBBBBBBB

Step-by-step explanation:

Answer:

Step-by-step explanation:

for 140

miles he had slept

Answer:

14 minutes...

Step-by-step explanation:

Wage for an hour: $11.50 per hour

Wage for first 35 hours: $11.50*35 = 402.5

Wage after 35 hours: $17.25 per hour

Earning in one week: $626.75

Therefore, hours worked :

$626.75 - 402.5 = 224.25

Now 224.25/17.25 = 13

Therefore total hours is

13+35 = 48 Hours

Mark as brainliest

Answer:

18x = 90

x = 5

Step-by-step explanation:

Since it is a 90° angle, you can use 11x + 7x = 90

18x = 90

Answer:

See Explanation

Step-by-step explanation:

The answers are in the attachment already; I guess you need an explanation.

For the first answer

- The bars of Paris, Oslo and Munich are not properly drawn.

This is so because distance between the bats of a bar chart is expected to be the same between all bars.

From the attachment above, it doesn't look so because the bats of these three cities are out of position.

In other words, the vertical lines of the bars must align with the vertical lines of the grid in the graph.

- The Temperature in the y axis doesn't start with 0

When plotting a graph, the origin must be 0 but in the attachment above, Joan used an origin of 2, which is totally incorrect.

- In Munich, the bar graph for x axis is taken more than 1 unit.

The bars of the bar graph should maintain a constant width but from the attachment above, the width of the bar is wider than the width of other bars

Answer:

- 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 9x - 9 ← is in slope- intercept form

with y- intercept c = - 9

Answer:

A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.

Step-by-step explanation:

Answer:

Both A and D

Step-by-step explanation:

Not absolutely 100%, but I think it's the answer.

Answer:2,3,4

Step-by-step explanation:

Answer:

213.69 units

Step-by-step explanation:

We have to first find the height of the cone.

We can use Pythagoras rule because the slant height, height and radius of a cone all form a right angled triangle:

[tex]h^2 = a^2 + b^2[/tex]

where h = hypotenuse

a and b = the other two sides of the triangle

The radius is 4 units and the slant height is 13 units:

[tex]13^2 = a^2 + 4^2\\\\169 = a^2 + 16\\\\a^2 = 169 - 16 = 153\\\\a = \sqrt{153}\\\\a = 12.37units[/tex]

The height of the cone is 12.37 units.

The surface area of a cone is given as:

SA = [tex]\pi r (r + \sqrt{h^2 + r^2} )[/tex]

[tex]SA = \pi * 4(4 + \sqrt{12.37^2 + 4^2} )\\\\SA = 12.57(4 + \sqrt{13^2} )\\SA = 12.57 (4 + 13)\\\\SA = 12.57(17)\\\\SA = 213.69 units[/tex]

The surface area of the cone is 213.69 units.

Answer:

Step-by-step explanation:

Remember that the median represents the value at the middle, literally.

So, if 12 is the median, it means is the value at the center of the data set.

Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.

Therefore, there are 25 kids in total.

Answer:

[tex]\fbox{\begin{minipage}{2em}33\end{minipage}}[/tex]

Step-by-step explanation:

Given:

In a class the ratio of boys to girls is 4:7.

The total number of students is between 24 and 40.

Solve for:

The total number of students

Solution:

The total number of student could be divided in portions with ratio 4:7

=> It must be the divisor of (4 + 7) or 11.

Otherwise, it is a number between 24 and 40.

There is only one divisor of 11, lying between 24 and 40. That is 33

=>  The total number of students: 33

Hope this helps!

:)

Answer:

6564.696

Step-by-step explanation:

A=6,000×(1+0.046)^(2)

A=6,564.696

Answer:

2

Step-by-step explanation:

just see the slope of FG

from F to G is 5 to the right and 1 goes up.

then, see the F'G' slope

its 10 to the right and 2 goes up

it TWICE

==========================================================

Work Shown:

x = side length of cube = 6 inches

SA = surface area of cube

SA = 6x^2

SA = 6*6^2

SA = 6*36

SA = 216 square inches

------------

side note: if you have a rectangular box that isn't a cube (ie the length, width, and/or height aren't all the same), then you would use this formula to get the surface area

SA = 2*(L*W+L*H+W*H)

where L,W,H are the length, width and height respectively.

Answer: -7.875

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan x-cot x

[tex]=\frac{sin~x}{cos~x} -\frac{cos~x}{sin ~x} \\=\frac{sin^2x-cos^2 x}{sin ~x~cos~x} \\=\frac{-2(cos^2x-sin^2x)}{2 sin ~x~cos~x} \\=\frac{-2 cos~2x}{sin~2x} \\=-2 cos ~2x~cosec~2x[/tex]

Answer:

2.88449914

Step-by-step explanation:

Answer:

x= 13

Step-by-step explanation:

10*10+8*8=x2

100+64=x2

164=x2l