Try it
y
5
U12.4)
4.
3. Show that the included angles, ZJ and V. are
congruent right angles.
y2-yi
Slope =
*2-X1
The slope of WU is
The slope of VU is
Therefore, U is
3
K(-6,2)
2
V
(52)
H(-3,0)
1W (0, 1)
15 -4 -2 -1 1 2.
3
4 5
-21
J (-5, -3)

Try Ity5U12.4)4.3. Show That The Included Angles, ZJ And V. Arecongruent Right Angles.y2-yiSlope =*2-X1The

Answers

Answer 1

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

slope of WU = (4 - 1)/(2 - 0) = 3/2

slope of VU = (2 - 4)/(5 - 2) = -2/3

product of the slopes: 3/2 * (-2/3) = -1

The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, <U is a right angle.

Answer 2

The slopes of WU and VU are negative reciprocals since their product is -1 Therefore, angle U is a right angle.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope of WU = (4 - 1)/(2 - 0) = 3/2

The slope of VU = (2 - 4)/(5 - 2) = -2/3

The product of the slopes: 3/2 * (-2/3) = -1

Thus, The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, angle U is a right angle.

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Related Questions

Jenny has nine marbles, but her best friend Susie gives her ten more! However, the neighborhood bully, Danny, steals four marbles from her. Jenny's marbles are all of very high quality, so she trades each of her marbles for three of John's marbles apiece. The very next day is Jenny's birthday so she receives seven marbles from her parents, and finally gives two to her sister. How many marbles does she have now?

Answers

Answer:

Jenny has 50 marbles

Step-by-step explanation:

I find it easiest to right down the numbers as I read the question,

(9+10-4) x3 +7-2

Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).

Answers

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

Write ln (4∕9) in terms of ln 2 and ln 3. Question 13 options: A) 3(ln 2 – ln 3) B) 2ln 2 – 2ln 3 C) 4ln 2 – 4ln 3 D) ln2 2 – 4ln 3

Answers

Answer:

The answer is option B

Step-by-step explanation:

2ln 2 - 2ln3

= ln ( 2²/3²)

= ln (4/9)

Hope this helps you

Answer:

B) 2ln 2 – 2ln 3

Step-by-step explanation:

There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 people on the train. How many people were on the train to begin with?

Answers

Answer:

65 people.

Step-by-step explanation:

We have to work backwards.

We end with 63 people, and at the stop we lost 19 people and gained 17.

[tex]x - 19 + 17 = 63\\[/tex]; if x = # people at the beginning

[tex]x - 19 + 17 = 63\\x - 2 = 63\\x = 65[/tex]

There were 65 people on the train to begin with.

Answer:

65 people

Step-by-step explanation:

Well, we need to work backward,

63 on the train and 17 got on so we do 63 - 17 = 46

Then 19 got off so 46 + 19 = 65

Hence, 65 people were on the train on the first stop.

What is the range of the function for the given domain? y = 2x − 5 D: {-2, 0, 2, 4}

Answers

Answer:

Range of Function :  { - 9, - 5, - 1,  4 }

Step-by-step explanation:

We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.

{ - 2, 0, 2, 4 }

y = 2( - 2 ) - 5 = - 9,

y = 2( 0 ) - 5 = - 5,

y = 2( 2 ) - 5 = - 1,

y = 2( 4 ) - 5 = 4

We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.

Jan is solving the equation shown below. Which of the following represents the solution to Jan’s equation?

a. x = 3
b. x = -3
c. x = 27
d. x = -33

Answers

Answer:

C. X=27

Step-by-step explanation:

-11+1/3x+9=7

1/3x=7+11-9

1/3x=9

x=9x3

x=27

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice. How many servings can David make with the current amount of spice he has

Answers

Answer:

  8 servings

Step-by-step explanation:

At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...

  40 g/(5 g/serving) = 8 servings

Only 8 servings can be made with the available spice.

Rice to spice ratio = 15 : 1

Number of grams per serving = 75 grams

Grams of spice available = 40 grams

Grams of rice, r required for available spice :

15 grams of rice = 1 gram of spice

r grams of rice = 40 grams of spice

Cross multiply :

r = (40 × 15)

r = 600 grams

The grams of rice which can go with the available spice :

Number of servings = grams of rice / grams per serving

Number of serving = 600 grams / 75 grams

Number of grams per serving = 8

Hence, The number of servings which can be made with the available spice is 8 servings

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ASAP! can someone help solve this with work?

Answers

Answer:

I don't just want to tell you the answer but I can tell you how.

Step-by-step explanation:

Use the pythagorean theorem, since this is a right triangle. If you don't know what this is its a^2+b^2=c^2

I hope this helps, if you have questions comment or look online.

Suppose that f(x)=4x+5. What is f^-1 (f^-1(9)) ?

Answers

Step-by-step explanation:

the inverse of the inverse of a function is the function itself

It's like going and coming back

f^-1(f^(-1)9) = f(9) f(9) = 4*9+5f(9) = 36+5 f(9) = 41

Answer:

9

Step-by-step explanation:

The inverse of the inverse is the input

f^-1 (f^-1(9))  = 9

As a proof

f(x) = 4x+5

y = 4x+5

Exchange x and y

x = 4y+5

Solve for y

(x+5) = 4y

(x+5)/4 = y

f^-1 (x) =  ( x-5)/4

Then find the inverse of this function

y = ( x-5) /4

Exchange x and y

x = (y-5)/4

4x = y-5

4x+5 = y

Which gives us the original function back

f^-1( input) = 4x+5

Using the value given

f^-1 (9) =  ( 9-5)/4=4/4 =1

Using the 1 from the previous part as the input

f^-1( 1) = 4*1+5  = 4+5 = 9

PLEASE HELPPPP Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years. Number of years 1 2 3 House 1 (value in dollars) 253,980 259,059.60 264,240.79 House 2 (value in dollars) 256,000 263,000 270,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points) (10 points)

Answers

Part A

House 1: we make exponential can be used to describe the

value of house 1. After 1 year, 253480 = 249000 x 1.02

After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.

House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.

Part B.

House 1: f(x)=249000 1.02x [genometic sequence]

House 2: f(X) = 24900 + 1000x [arithmetic progression]

Part C

House 1: f(45)=249000×1.02 45 = 607025.697

House 2: f(45) = 249000 +7000x45 = 564000

"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.

What are word problems in mathematics?

In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

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The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nearest whole number, if necessary.

Answers

Answer:

The rhombus ABCD has an area of 22 square units.

Step-by-step explanation:

The coordinates of rhombus ABCD are shown in the image attached below. The area of the rhombus can be found in terms of their diagonals, which are now calculated by Pythagorean Theorem:

[tex]AC = \sqrt{[6-(-4)]^{2}+[8-(-4)]^{2}}[/tex]

[tex]AC = 15.620[/tex]

[tex]BD = \sqrt{(4-6)^{2}+[0-(-2)]^{2}}[/tex]

[tex]BD \approx 2.828[/tex]

The area of the rhombus is: ([tex]AC = 15.620[/tex] and [tex]BD \approx 2.828[/tex])

[tex]A = \frac{AC\cdot BD}{2}[/tex]

[tex]A = \frac{(15.620)\cdot (2.828)}{2}[/tex]

[tex]A = 22.087[/tex]

The rhombus ABCD has an area of 22 square units.

Answer:

22 units

Step-by-step explanation:

Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83 on
his fourth test. What is Mark's
average test score for all 4 tests?

Answers

Answer:

88

Step-by-step explanation:

89+85+95+83= 352,

352/4 = 88

It would be 88 you can just use a grade calculator next time

please solve these questions for me. i am having a difficult time understanding.

Answers

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

[tex]\angle AED = \angel BEC[/tex] ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

[tex]\angle ABC = 90^{\circ}[/tex]

In ΔDBC

BC=DC (Given)

So,[tex]\angle CDB=\angle DBC[/tex](Opposite angles of equal sides are equal)

So,[tex]\angle CDB=\angle DBC=x[/tex]

So,[tex]\angle CDB+\angle DBC+\angle BCD = 180^{\circ}[/tex] (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So,[tex]\angle CDB=\angle DBC=x = 65^{\circ}[/tex]

Now,

[tex]\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90[/tex]

So,[tex]\angle ABD=90-x=90-65=25^{\circ}[/tex]

In ΔABD

AB = BD (Given)

So,[tex]\angle BAD=\angle BDA[/tex](Opposite angles of equal sides are equal)

So,[tex]\angle BAD=\angle BDA=y[/tex]

So,[tex]\angle BAD+\angle BDA+\angle ABD = 180^{\circ}[/tex](Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence 2, -6, 18, -54, ...? an = 2 · 3n - 1 an = 2 · (-3)n - 1 an = 3 · 2n - 1 an = -3 · 2n - 1

Answers

Answer:

The second choice

Step-by-step explanation:

So first we would plug in the first term which is 2 so we would get [tex]an=2[/tex] times [tex]rn-1[/tex] so next we would see that the common ration is -3 since every time the number is being multiplied by -3. so then our equation would be [tex]an= 2[/tex] times [tex]-3n-1[/tex]. Now we would just find the choice that matches and it would be the second choice.

Answer:

option 2

Step-by-step explanation:

First term [tex]a_{1} = 2\\[/tex]

common ratio = r = second term ÷ first term

                            = -6 ÷2 = -4

Plug in the values of  [tex]a_{1}[/tex] & r in the formula

[tex]a_{n} = a_{1}*r^{n-1}\\\\\\a_{n}=2 * (-3)^{n-1}[/tex]

The following data points represent the number of points scored by each player on the Wildcats basketball team last game. ____________________________ 4, 5, 6, 8, 9, 10, 11, 13 (Find the interquartile range (IQR) of the data set.)

Answers

Answer:

The answer is 5,  TRUST ME

Step-by-step explanation:

I tried the other answer but i got it WRONG.

The interquartile range (IQR) of the data represents the number of points scored by each player is 7.

What is the interquartile range (IQR)?

The interquartile range is a measure of variability which can be calculated by dividing data into quartiles.

The formula of IQR = [tex]\rm Q_{3} -Q_{1}[/tex]

The given data is as follows

4, 5, 6, 8, 9, 10, 11, 13

To find the first quartile

[tex]\rm Q_{1}[/tex] = (n + 1)/4 term

   = (8+1)/4

    = 9/4

To find the Third quartile

[tex]\rm Q_{3}[/tex] = 3(n + 1)/4 term

    = 3 (9)/4

    = 27/4

The formula of IQR = [tex]\rm Q_{3} -Q_{1}[/tex]

                                = 27/4 - 9/4

                                = 28/4

                                = 7

The interquartile range (IQR) of the data represents the number of points scored by each player on the Wildcats basketball team last game is 7.

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Solve for x: 4x - 2 > 6x + 8. (5 points)
x<-5
x>5
x<5
x>-5

Answers

Answer:

x<-5 is the correct answer

Answer:

x<-5 is the answer

Step-by-step explanation:


[tex]solve for x if 4 x+1-9(2 ^{2} +2=0[/tex]

Answers

Answer:

mark my answer as the brainliest

Step-by-step explanation:

x = 53/4

Answer:

4×+1-9 (2^)+2)=0

4×+1-9 (4+2)=0

4×+1(-36-18)=0

4×+1 (-54)=0

4×-54=0

4×=54

×=54÷4

×=13.5

Find the.equation of the line through point (-4,1) and parallel to y=-1/2x -2

Answers

This is a hard one but i believe you should ask help on this me myself don’t understand

Answer: y = -1/2x -1

Step-by-step explanation: since the new line is parallel to the given line the slope of both the lines world be same. Therefore putting the new values in the equation

y-y1=m(x-x1)

y-1=-1/2(x+4)

y-1=-1/2x -2

y=-1/2x-1

Can Negative numbers turn into Scientific Notation?

Answers

Answer: Yes, negative numbers can be written in scientific notation

Examples:

-1200 = -1.2 * 10^3

-1,897,000 = -1.897 * 10^6

We simply can ignore the negative at first, then convert to scientific notation (as you normally would with any positive number). Afterward, don't forget to put the negative back in.

Please hurry!!!

The fraction bars represent which equation?

A fraction bar is labeled 1. Underneath the bar, 4 boxes are labeled 1/4. Underneath the 4 boxes, boxes are labeled 1/8. 6 of those boxes are circled.

A. 1/4 ÷ 1/8 = 6
B. 3/4 ÷ 1/8 = 6/8
C. 1/4 ÷ 1/8 = 6/8
D. 3/4 ÷ 1/8 = 6​

Answers

Answer:

Answer- 3/4 divided by 1/8 = 6/8

ordered pair please help

Answers

Answer:

PLS PLS DO MARK MY ANSWER AS THE BRAINLIEST......

Step-by-step explanation:

P -  ( 2, -3)  - 4TH QUADRANT

Q - (-3,-2) - 3RD QUADRANT

R - (1,3) - 1ST QUADRANT

S -(-2,2) - 2ND QUADRANT

Answer:

P -  ( 2, -3)  - 4TH QUADRANT

Q - (-3,-2) - 3RD QUADRANT

R - (1,3) - 1ST QUADRANT

S -(-2,2) - 2ND QUADRANT

help i want help plz help me

Answers

Answer:

SA = 384 in ^2

Step-by-step explanation:

The surface area of a cube is given by

SA = 6 S ^2 where s is the side length

SA = 6 * (8) ^2

SA = 6 * 64

SA = 384 in ^2

Answer:

384 in^3

Step-by-step explanation:

To find the surface area of a cube, you have to multiply 6(the number of sides on a cube) by *(8)^2. When you plug it in, you get 384 in^3.

which equation is correct?



arccsc(x)=1/cos(x)

Answers

Answer:

arccsc(x)=1/cos(x)

Step-by-step explanation:

Answer:

the answer to your question is D

Step-by-step explanation:

What’s the slope for this graphed?
A.1/2
B.-2
C.2
D.-3

Answers

Answer:

the answer is just 2

Step-by-step explanation:

start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.

Does anyone know this! Thanks

Answers

Answer:

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

C = 2 * pi * 3.5

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

Experiment consist of drawing one card from a standard 52 card deck. What is the probability of drawing a black 10?

Answers

Answer:

2/52 or 1/26 or 0.0385 or 3.85%

Step-by-step explanation:

There are 2 black 10's in a standard 52 card deck.

2/52 or 1/26 or 0.0385 or 3.85% (depending on how your teacher wants it expressed)

Here is the answer (in percent): 3.85%

You spend 1/5 of your income on car payment. You spend 3/8 of the remainder of your income on rent. What fraction of income is spent on rent?

Answers

Answer:

3/10

Step-by-step explanation:

1/5 of total income - spent on car

remainder income = 4/5

3/8 of remainder = 3/8 ×4/5 = 3/10(of total income spent on rent)

the word "of" means you can find it by multiplication

e.g. 2 of 1/2 means 2 × 1/2 which is 1

Which of the following functions represent exponential growth? f(x)=.0001(1.77)^x f(x)=2(1.5)^x/2 f(x)=5(0.5)^-x f(t)=5e^-t

Answers

Answer:

Hello There. ☆~\《`°---_●£●__---`°》\~☆

An exponential growth function is represented by

f(x)=a(b)^{x},a>0,b>1.

The given functions can be written as,

A)f(x)=.001(1.77)^x,0.001>0,1.77>1

B)f(x)=2(1.5)^{x/2}=2(\sqrt{1.5} )^x,2>0,\sqrt{1.5} >1

C)f(x)=5(0.5)^{-x}=5(2)^x,5>0,2>1

D) f(t)=5e^{-t}=5(\frac{1}{e} )^x,5>0,1/e.

So the function f(t)=5e^{-t}=5(\frac{1}{e} )^x,5>0,1/e violates the conditions for an exponential growth function. It is an exponential decay function.

The correct choices are (A), (B), (C).

Hope It Helps!~ ♡

ItsNobody~ ☆

The functions that represent exponential growth are choices (A), (B), and (C). The correct option is A, B, and C.

What is exponential growth?

Exponential growth is the process of gradual increase of quantity over time.

An exponential growth function is represented by

[tex]\rm f(x)=a(b)^{x}[/tex],  a>0,b>1

The given functions can be written as,

A)[tex]f(x) = .001(1.77)^x[/tex], 0.001>0,1.77>1

B) [tex]f(x) = 2(1.5)^{x/2} = 2(\sqrt{1.5} )^x,[/tex]   2>0,  [tex]\sqrt{1.5}[/tex] >1

C)[tex]f(x) = 5(0.5)^{-x}=5(2)^x[/tex],    5>0, 2>1

D) [tex]f(t) = 5e^{-t}=5(\frac{1}{e} )^x[/tex],        5>0,  1/e.

So, the function [tex]f(t)=5e^{-t}=5(\frac{1}{e} )^x,5 > 0,1/e[/tex] violates the conditions for an exponential growth function. It is an exponential decay function.

The correct choices are (A), (B), and (C).

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-----------------> 10x - 3 - 2x = 4

Answers

Answer:

[tex]x=\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]10x-3-2x=4[/tex]

First, collect and rearrange the like terms.

[tex]10x-3-2x=4[/tex]

[tex]8x-3=4[/tex]

[tex]8x=4+3[/tex]

Then, solve the equation:

[tex]8x=4+3[/tex]

[tex]8x=7[/tex]

[tex]x=\frac{7}{8}[/tex]

So, the answer is [tex]x=\frac{7}{8}[/tex]. Hope my solution and explanation can help you. Thank you!

If you still cannot get the point, you can ask me anytime.

Answer:

x=7/8

Step-by-step explanation:

10x-3-2x=4

collect like term

8x-3=4

move constant to the right-hand side and change its sign

8x-3=4 into 8x=4+3

add up the number : 8x=4+3

8x=7 divide both sides of the equation by 8

x = 7/8

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

Answer:

72cm2 (2 means squared)

Step-by-step explanation:

you add all the sides once you get the are for each side. To do that you multiply l(w)

Answer:

The surface area of the rectangular prism is [tex]136cm^{2}[/tex]

Step-by-step explanation:

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

What is rectangular prism?

A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.

Given, length l= 7cm

          breadth b=6cm

          height h=2cm

The surface area of the cuboid is,

=2(lb+bh+lh)

=2(7*6+6*2+2*7)

=2(42+12+14)

=2*68

=136 [tex]cm^{2}[/tex]

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Does anyone know how to fix this problem My kali Linux is getting stuck on the failed to send host log message the first time I run it but when I reset it it gets fixed but I wanna stop it from freezing and getting stuck on that error message Two gliders with different masses move toward each other on a frictionless air track. After they colllide, glider B has a final v of 2 m/s. What is the final velocity of glider A A sudden fall in the market demand in a competitive industry leads to a.A short run market equilibrium price lower than the original equilibrium b.A market equilibrium price higher than the short run price c.Some firms exiting the market d.All of the above Use the verb in parentheses with the modals must, may/might/could, can. One sentence uses should. Note: some of the modals are in past form: (modal + have + past participle). Hikers (get) ______________ hurt if they do not know what they are doing. HELP PLEASE !!!!ABCDE??? What is the significance of alcohol in The Jungle's Packingtown? (Chapters 7, 14, 19) There were 3 adults and 9 children on the bus. What was the ratio of adults to children? Enter your answer in reduced form. (add explanation please!) (70 points!!!!!) By visual inspection, determine the best-fitting regression model for thescatterplot.Need help ASAP please Help me ASAP for the question. From the preceding selection of The Loner, type the phrase from the sentence that the author used to help you feelthe boy's loneliness or his exhaustion.The phrase must be 2 words long. Remember that a phrase is not a complete sentence and shouldn't include anycapitalization or punctuation.paragraph one, sentence three Which of the following is true? Seminal fluid is composed of semen and sperm. Sperm are composed of seminal fluid within a cell membrane. The three ingredients of ejaculate are sperm, semen, and prostate-specific antigen. Semen is composed of seminal fluid and sperm. Choose the best estimate for the division problem below.38.064/6.12A. 9B. 4.c. 6 Please answer this correctly without making mistakes Simplify the correct answer In this type of marriage, partners participate in each other's lives at all levels and have few areas of tension or unresolved hostility. Spouses may even work together or share projects, friends, and outside interests.a. total b. vital c. devitalized d. passive-congenial For f(x) = 2x + 1 and g(x) = x2 7, find (f g)(x). Average consumers spend 7% of their income on utilities. The scotts' annual income is$42,000. Assuming that utility payments are the same each month, how much of the Scotts'monthly budget should cover the cost of utility bills?O $700O $245O $2860O $2940 How does the graph of y = a(x h)2 + k change if the value of h is doubled? The vertex of the graph moves to a point twice as far from the x-axis. The vertex of the graph moves to a point twice as far from the y-axis. The vertex of the graph moves to a point half as far from the x-axis. The vertex of the graph moves to a point half as far from the y-axis. Gary ordered 30 pizzas for a party. 60% of the pizzas have 12 slices each. The remaining 40% of the pizzas have 10 slices each. Complete the model. Then complete the statements to find the total number of slices of pizza Write the first four terms in the following sequences. A(n+1)=12 A(n) for n1 and A(1)=4 . Brief Exercise 8-5 Vaughn Company uses a periodic inventory system. For April, when the company sold 450 units, the following information is available. Units Unit Cost Total Cost April 1 inventory330$22$ 7,260 April 15 purchase380269,880 April 23 purchase 290 29 8,410 1,000 $25,550 Compute the April 30 inventory and the April cost of goods sold using the FIFO method. Ending inventory $ Cost of goods sold PLEASE HELP ME I DONT UNDERSTAND THIS QUESTION