Write the prime factorization of 12. Use exponents when appropriate and order the factors from least to greatest (for example,22•3•5)

Answer:

Below in bold.

Step-by-step explanation:

(a) Volume = volume of the cylinder + volume of hemisphere

= pi r^2 h + 1/2 * 4/3 pi r^3

= pi 2^2 3 + 2/3 pi 2^3

= 12pi + 16pi/3

= 52pi/3

= 52pi/3 in^3

= 54.45 in^3 to nearest hundredth.

(b) Surface area  = area of base + area of curved part + area of the hemisphere

= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2

=  4pi + 8 pi + 12pi

= 24pi in^2

= 75.40 to nearest hundredth.

Answer:

14.

[tex]x = 11[/tex]  [tex]m<B = 108[/tex]   [tex]m<C= 36[/tex]   [tex]m<D = 36[/tex]

15.

[tex]x = 4[/tex]     [tex]WX = 25[/tex]     [tex]XY = 17[/tex]     [tex]WY = 25[/tex]

Step-by-step explanation:

Solving (14):

[tex]BC = BD[/tex]

[tex]m<B = 13x - 35[/tex]

[tex]m<C = 5x - 19[/tex]

[tex]m<D = 2x + 14[/tex]

First, we solve for x.

Since sides [tex]BC = BD[/tex], then

[tex]m<C = m<D[/tex]

This is so because the theorem of ASA (Angle-Side-Angle)

So, we have:

[tex]5x - 19 = 2x + 14[/tex]

Collect Like Terms

[tex]5x - 2x = 19 + 14[/tex]

[tex]3x = 33[/tex]

Divide both sides by 3

[tex]x = 11[/tex]

Solving for m<B, m<C and m<D.

We simply substitute 11 for x in their respective expressions.

[tex]m<B = 13x - 35[/tex]

[tex]m<B = 13*11 - 35[/tex]

[tex]m<B = 143 - 35[/tex]

[tex]m<B = 108[/tex]

[tex]m<C = 5x - 19[/tex]

[tex]m<C= 5*11 - 19[/tex]

[tex]m<C= 55 - 19[/tex]

[tex]m<C= 36[/tex]

[tex]m<D = 2x + 14[/tex]

[tex]m<D = 2*11 + 14[/tex]

[tex]m<D = 22 + 14[/tex]

[tex]m<D = 36[/tex]

Solving (15):

[tex]<X = <Y[/tex]

[tex]WX = 9x - 11[/tex]

[tex]XY = 4x + 1[/tex]

[tex]WY = 7x - 3[/tex]

First, we solve for x.

Since [tex]<X = <Y[/tex], then

[tex]WX = WY[/tex]

This is so because the theorem of SAS (Side-Angle-Side)

So, we have:

[tex]9x - 11 = 7x - 3[/tex]

Collect Like Terms

[tex]9x - 7x = 11-3[/tex]

[tex]2x = 8[/tex]

Divide both sides by 2

[tex]x = 4[/tex]

Solving for WX, WY and XY

We simply substitute 4 for x in their respective expressions.

[tex]WX = 9x - 11[/tex]

[tex]WX = 9 * 4 - 11[/tex]

[tex]WX = 36 - 11[/tex]

[tex]WX = 25[/tex]

[tex]XY = 4x + 1[/tex]

[tex]XY = 4 * 4 + 1[/tex]

[tex]XY = 16 + 1[/tex]

[tex]XY = 17[/tex]

[tex]WY = 7x - 3[/tex]

[tex]WY = 7 * 4 - 3[/tex]

[tex]WY = 28 - 3[/tex]

[tex]WY = 25[/tex]

Answer:

$24,840

Step-by-step explanation:

Please mark brainliest.

Answer:

D

Step-by-step explanation:

10(4 - 7)/-(4 - 1)

40-70/-4+1

-30/-3

=10

Answer:

8

Step-by-step explanation:

3 + 4 = 7

6/12 + 1/2 = 1

7+1 = 8

Answer:

D

Step-by-step explanation:

2 sin²x=sin x

2 sin² x-sin x=0

sin x(2 sin x-1)=0

sin x=0

x=0,π

2 sin x-1=0

2 sin x=1

sin x=1/2= sin π/6,sin (π-π/6)

x=π/6,5π/6

Answer:

x=13

Step-by-step explanation:

ok so let x+y=22

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

x and y are the 2 unkown Number

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

x-y=4

their difference is 4

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

add both equations

(x+y=22)

+(x-y=4)

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

y's cancel out

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

2x=26

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

x=13

Answer:

2.25 F

Step-by-step explanation:

I subtracted 3/4 from 3.

Hope this helped.

-Pepsi

Answer:

Open points on 1 and 3 with ray connecting.

Step-by-step explanation:

Because it's right.

From the graph of the function |(f)| and |(g)|, the interval at which both functions are negative are 1 and 3.

A quadratic function can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the graph of a quadratic function is parabolic because it is u-shaped. From the graph of the function |(f)| and |(g)|, we can deduce that the interval at which both functions are negative are 1 and 3 as shown in the image attached below.

Read more on functions here: https://brainly.com/question/4246058

#SPJ2

Answer: 252 square feet

Step-by-step explanation:

lets remember that 1 yard= 3 feet

7 yards= 7*3=21 feet

4 yards= 4*3=12 feet

we know that area of a rectangle= LxW

21 x 12= 252 square feet

Anwer

W=3/4L

Step by step explanation:

Monica has a rectangular piece of fabric with an area of 3/4 square yard

the  length is L yards

Required

The expression for the Width of the Fabric

Step two:

we know that the Area is expressed as

Area= L*W

3/4= L*W

cross multiply we have

3=4LW

divide both sides by 4L

W= 3/4L

Answer:

no

Step-by-step explanation:

2 is just 2

Answer:

-25

Step-by-step explanation:

25 degrees below zero indicates that we are working with a negative number, so it's -25

~theLocoCoco

Answer:

The answer is -25 for sure

Step-by-step explanation:

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]

After solving we get value of y=-1

Now putting in eq(1) to get value of x

[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]

So, After solve the equations we get value of k=3

Answer:

$51.75

Step-by-step explanation:

The meal cost $45. $45 is 100% of the cost. She wants to leave a 15% tip, so add 15% to 100%.

15% + 100% = 115%

She will pay 115% of $45.

115% of $45 = 1.15 * $45 = $51.75

Answer:

x = -14, 0

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(x + 7)² - 49 = 0

Step 2: Solve for x

Step 3: Check

Plug in x values into original equation to verify they are a solution.

x = -14

Here we see that 0 does indeed equal 0.

∴ x = -14 is a solution of the equation

x = 0

Here we see that 0 does indeed equal 0.

∴ x = 0 is also a solution of the equation.

Answer:

Lesser x=-14 Greater x=0

Step-by-step explanation:

x+7)  

2

−49

(x+7)  

2

(x+7)  

2

​  

​  

=0

=49

=  

49

​  

​  

Hint #22 / 3

\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}  

x+7

x

(x+7)  

2

−49

x=−14

​  

=±7

=±7−7

or x=0

​  

Answer:

2.5 hours

Step-by-step explanation:

They are 22.5 miles apart. Chase is going 6 mph and Jada is going 3 mph.

6 × 2 = 12

6 × 0.5 = 3

12 + 3 = 15 miles

3 × 2 = 6

3 × 0.5 = 1.5

6 + 1.5 = 7.5 miles

15 + 7.5 = 22.5 miles

It would take them 2.5 hours to reach each other.

Hope that helps.

Answer: 41.3m

Step-by-step explanation: Hope this helps

Answer:

B. rational

Explanation:

Every integer is a rational number since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number.

Answer:

When f(x) equals 17, x is equal to 8.

Step-by-step explanation:

[tex]f(x) = 3x - 7\\17 = 3x - 7\\3x = 17 + 7\\3x = 24\\x = 24/3\\x = 8[/tex]

Answer: yo plug it into desmos its ez

Step-by-step explanation:

Answer:

plot a point at (0,-7) and plot a point at (1, -4). Draw a line through those points.

Step-by-step explanation:

The equation tells you that your y intercept will be negative 7. The 3x means that your slope will be equal to up 3, and over 1 (or 3/1, which is equal to 3.)

Answer:

b, c, e

Step-by-step explanation:

kill meStep-by-step explanation:

Answer:

8,667.14

Step-by-step explanation:

1. Multiply 29.1 by 20.4 = 593.64

2. Multiply 593.64 by 14.6 =  8,667.14

Answer:

The roots are real.

Step-by-step explanation:

Given quadratic equation to us is 4x² -4x -19 = 0.

With respect to Standard form ax² +bx +c = 0 , Discriminant of the quadratic equation is given by b² - 4ac . Here's a table for Nature of Roots .

[tex]\boxed{\begin{array}{|r|r|r|} \underline{\red{\bf S.no.}} & \underline{\red{\bf Condition }} & \underline{\red{\bf Nature \ of \ Roots }} \\\\ \sf 1 & \sf Discriminant > 0 & \sf Real \:Roots \\\\ \sf 2 &\sf Discriminant = 0 &\sf Equal \:Roots \\\\ \sf 3 & \sf Discriminant < 0 &\sf Complex \: Roots \end{array} }[/tex]

Hence here , wrt Standard form ,

• a = 4 , • b = -4 & •c = -19 .

[tex]\implies Discriminant = b^2-4ac \\\\\implies Discriminant = (-4)^2-4(4)(-19) \\\\\implies Discriminant = 16+304 \\\\\boxed{\red{\bf \implies Discriminant = 320 }}[/tex]

Hence since Discriminant is Greater than 0 , hence the nature of roots of the quadratic equation is real.

Answer:

...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For your question: A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?

After doing the math in my notebook, I got the answer D.

Please let me know if you have any other questions down below.

2/6

Reducing is another word simplify

Divide by 2 for the numerator and denominator

2/2= 1

2/6= 3

Answer : 1/3

Answer:

2400kJ

Step-by-step explanation:

Step one:

given data

power P= 400W

time = 10minutes

to seconds= 60*10 = 600 seconds

Required

the energy

Step two:

we know that Energy= power * time

E=P*t

E=400*600

E=240000

E=2400kJ

She converts 2400kJ into other forms