Please answer ASAP. The question is down below.

Please Answer ASAP. The Question Is Down Below.

Answers

Answer 1

Answer:  1) c     2) d

Step-by-step explanation:

Use Pythagorean Theorem to find the hypotenuse (r):  x² + y² = r²

Given: x = 2, y = 6

                2² + 6² = r²

                4 + 36 = r²

                      40 = r²

                      [tex]\sqrt{40}=r[/tex]

[tex]\sin \theta=\dfrac{y}{r}\quad =\large\boxed{\dfrac{6}{\sqrt{40}}}\quad \rightarrow \dfrac{6}{2\sqrt{10}}\quad \rightarrow \dfrac{3}{\sqrt{10}}[/tex]

*******************************************************************************************

[tex]\sin \theta = \dfrac{opposite(y)}{hypotenuse(r)}\quad =\dfrac{12}{20}\quad \rightarrow \dfrac{3}{5}\quad \rightarrow \large\boxed{0.6}\\\\\\\cos \theta = \dfrac{adjacent(x)}{hypotenuse(r)}\quad =\dfrac{16}{20}\quad \rightarrow \dfrac{4}{5}\quad \rightarrow \large\boxed{0.8}[/tex]


Related Questions

Increased by 75% is 35 ?

Answers

Answer:

20

Step-by-step explanation:

20 + (75% × 20) =

20 + 75% × 20 =

(1 + 75%) × 20 =

(100% + 75%) × 20 =

175% × 20 =

175 ÷ 100 × 20 =

175 × 20 ÷ 100 =

3,500 ÷ 100 =

35;

The net of a solid is shown below:

Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 6 inches. The base of the triangle is the side of the square.

What is the surface area of the solid?

18 square inches
27 square inches
36 square inches
45 square inches

Answers

Answer:

The answer is 45 inches².

Step-by-step explanation:

First, you have to find the area of each triangle:

[tex]area = \frac{1}{2} \times base \times height[/tex]

[tex]let \: base = 3 \\ let \: height = 6[/tex]

[tex]area = \frac{1}{2} \times 3 \times 6[/tex]

[tex]area = \frac{1}{2} \times 18[/tex]

[tex]area = 9 \: \: {inches}^{2} [/tex]

Assuming that the formula for surface area of pyramid is Surface area = base area(area of square) × 4(area of triangle):

[tex]base \: area = 3 \times 3 = 9[/tex]

[tex]area \: of \: triangle = 9[/tex]

[tex]s.a = 9 + 4(9)[/tex]

[tex]s.a = 9 + 36[/tex]

[tex]s.a = 45 \: \: {inches}^{2} [/tex]

look at the pattern below.How should the tird shape be labeled

Answers

Answer:

You havent showed us the pattern

how to solve 10 + (2 × 3)^2 ÷ 4 × (1/2)^3

Answers

Answer:

11.125

Step-by-step explanation:

[tex]10 + {(2 \times 3)}^{2} \div 4 \times {( \frac{1}{2}) }^{3} [/tex]

To raise a product to a power, raise each factor to that power

[tex] = 10 + 4 \times 9 \div 4 \times {( \frac{1}{2} )}^{3} [/tex]

To raise a fraction to a power, raise the numerator and denominator to that power

[tex] = 10 + 4 \times 9 \div 4 \times \frac{1}{8} [/tex]

Any expression divided by itself equals 1

[tex] = 10 + 1 \times 9 \times \frac{1}{8} [/tex]

Any expression multiplied by 1 remains the same

[tex] = 10 + 9 \times \frac{1}{8} [/tex]

Calculate the product

[tex] = 10 + \frac{9}{8} [/tex]

Write all numerators above the common denominator

[tex] = \frac{80 + 9}{8} [/tex]

Add the numbers

[tex] = \frac{89}{8} [/tex]

Divide

[tex] = 11.125[/tex]

Hope this helps..

Best regards!!

Answer:

11 1/8

Step-by-step explanation:

Okay so I messed up big time. So I had to edit this! I am really sorry if you read mine before. I fixed mine. So this is the right answer. Sorry!

I need Help!!! Will give Brainliest ABC≅DEF Find the following: 1. x = 2. CB = 3. FE = 4. y = 5. ED = 6. FD = 7. AB = 8. AC = 9. Area =

Answers

Answer:

ABC≅DEF

x = 2

CB = 3

FE = 4

y = 5

ED = 6

FD = 7

AB = 8

AC = 9

In triangle ABC=

Side AC= 9 cm

Side CB= 3 cm

Area= [tex]\frac{1}{2}[/tex]×[tex]b[/tex]×[tex]h[/tex]

        =13.5 cm^2

In triangle DEF=

Side FE= 4 cm

Side FD= 7 cm

Area= [tex]\frac{1}{2}[/tex]×[tex]b[/tex]×[tex]h[/tex]

        =14 cm^2

Which expression is equivalent to -80

Answers

Answer:

what expressions?

Step-by-step explanation:

PLSSSSS HELLLLLLP!!!!!

Answers

Answer:

[tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex] will be the answer.

Step-by-step explanation:

The given expression is,

[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]

By solving this expression,

[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]

= [tex]\frac{3n(n-4)}{(n+3)(n-4)}+\frac{5(n+3)}{(n+3)(n-4)}[/tex]

= [tex]\frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]

= [tex]\frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]

= [tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]

Therefore, fraction given in option (2) will be the answer.

–3(6 – 2x) ≥ 4x + 12? PLZ HELP

Answers

Answer:

x ≥ 15

Step-by-step explanation:

–3(6 – 2x) ≥ 4x + 12

Expand the terms in the bracket

We have

- 18 + 6x ≥ 4x + 12

Group like terms

that's

6x - 4x ≥ 12 + 18

2x ≥ 30

Divide both sides by 2

x ≥ 15

Hope this helps you

Step-by-step explanation:

no worries

if u multiply by a negative number the sign changes

so it can -18 + 6x <= 4x + 12

take x to one side and others to other side

6x - 4x <= 18 + 12

2x <= 30

x<= 15

so solutions can be from ....-2,-1,0,1,2,3....

If y is inversely proportional to x and y = 5, when x = 7, find the value of y when x = 70

Answers

Answer:

y = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given y is inversely proportional to x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 5 when x = 7, then

5 = [tex]\frac{k}{7}[/tex] ( multiply both sides by 7 )

35 = k

y = [tex]\frac{35}{x}[/tex] ← equation of variation

When x = 70, then

y = [tex]\frac{35}{70}[/tex] = [tex]\frac{1}{2}[/tex]

SB
Compare the process of solving
|x - 11 +1 < 15 to that of solving
|x - 11 +1 > 15.
DONE

Answers

Answer:

x = 0

Step-by-step explanation:

i) x - 11 + 1 < 15

x - 10 < 15

x < 10 + 15

x < 25

ii) x - 11 + 1 > 15

x - 10 > 15

x > 25

Therefore to compare (i) and (ii)

25 < x < 25

In any case, x = 0

The app store is offering 15 percent off any purchase for one day, only you decide to buy a game app that cost 12 dollars and 90 cents. If you buy it during the sale, what is the amount of the discount?

Answers

Answer:

$1.935

Step-by-step explanation:

As the store is offering a 15% discount, you have to calculate the 15% of the price of the game app to find the amount of the discount:

Price of the game app= 12.90

12.90*15%=1.935

According to this, the answer is that the amount of the discount if you buy the game app during the sale is $1.935 and you would have to pay: 12.90-1.935= $10.965.

BRAINLIEST!!! MATH HELP ME ASAP PLS!!!

Answers

Answer:

  -0.0062 and 27.5

Step-by-step explanation:

You can write the equation of the line using the 2-point form:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

The given values of the variables are ...

  (h, T) = (10000, -34.5) and (15000, -65.5)

Putting these into the formula, we have ...

  T = (-65.5 -(-34.5))/(15000 -10000)(h -10000) +(-34.5)

  T = -31/5000(h -10000) -34.5

  T = -0.0062h +62 -34.5

  T = -0.0062h +27.5

The appropriate choice is ...

  -0.0062 and 27.5

how to convert 0.16 to fraction​

Answers

4/25

Step-by-step explanation:

16/100, 8/50, 4/25

pls let me know what you get for the question below

Answers

Answer:

233.37

Step-by-step explanation:

so between each gondola is 20.95 so you will multiply it by 35 not 36 (because between the first you go round and come back to the same first you started so no space between first and last) then get circumference as 733.25 using

[tex]c = \pi \: d[/tex]

you get diameter

It takes 4 people 2 days to paint a wall. How long would it take if we got 8 people to do it?

Answers

Answer:

if it takes 4 people for 2 days

4+4= 8

so it would only take 8 people for 1 day

Answer:

1 day

Step-by-step explanation:

4 people = 2 days

→ Work out how long 1 person takes

4 people = 2 days

( ÷ 4 )            ( × 4 )

1 person = 8 days

→ Work out how long 8 people can do it

1 person = 8 days

( × 8 )            ( ÷ 8 )

8 people = 1 day

What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)= ____ or ____%

Answers

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive  and if the raw score is below the mean the z sore is negative. It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

[tex]z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2[/tex]

For 12.5 inches:

[tex]z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1[/tex]

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1)  - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

Added to Six Flags St. Louis in the Colossus is a giant Ferris wheel. Its diameter is 165 feet, it rotates at a rate of about 1.6 revolutions per minute, and the bottom of the wheel is 15 feet above the ground. Determine an equation that relates a rider's height above the ground at time . Assume the passenger begins the ride at the bottom of the wheel.

Answers

Answer:

The height of the rider as a function of time is [tex]h(t) = 15 + 82.5\cdot (1-\cos 0.168t) \,[ft][/tex], where time is measured in seconds.

Step-by-step explanation:

Given that Ferris wheel rotates at constant rate and rider begins at the bottom of the wheel, the height of the rider as a function of time is modelled after this expression:

[tex]h(t) = h_{bottom} + (1-\cos \omega t)\cdot r_{w}[/tex]

Where:

[tex]h_{bottom}[/tex] - Height of the bottom with respect to ground, measured in feet.

[tex]\omega[/tex] - Angular speed of the ferris wheel, measured in radians per second.

[tex]t[/tex] - Time, measured in seconds.

[tex]r_{w}[/tex] - Radius of the Ferris wheel, measured in feet.

The angular speed of the ferris wheel, measured in radians per second, is obtained from the following expression:

[tex]\omega = \frac{\pi}{30}\cdot \dot n[/tex]

Where:

[tex]\dot n[/tex] - Angular speed of the ferris wheel, measured in revolutions per minute.

If [tex]\dot n = 1.6\,rpm[/tex], then:

[tex]\omega = \frac{\pi}{30}\cdot (1.6\,rpm)[/tex]

[tex]\omega \approx 0.168\,\frac{rad}{s}[/tex]

Now, given that [tex]h_{bottom} = 15\,ft[/tex], [tex]r_{w} = 82.5\,ft[/tex] and [tex]\omega \approx 0.168\,\frac{rad}{s}[/tex], the height of the rider as a function of time is:

[tex]h(t) = 15 + 82.5\cdot (1-\cos 0.168t) \,[ft][/tex]

C equal 3x - 2 of x=5 than what does c equal

Answers

Answer:

i need help this too

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Given,

x = 5

Now, let's find the value of C

[tex]c = 3x - 2[/tex]

plug the value of x

[tex] = 3 \times 5 - 2[/tex]

Multiply the numbers

[tex] = 15 - 2[/tex]

Calculate the difference

[tex] = 13[/tex]

Hope this helps..

Best regards!!

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

2

Step-by-step explanation:

In order to make the equation undefined, you should make the denominator 0. Remember that dividing anything by 0 will become undefined.

[tex]2x-4=0\\\frac{2x=4}{2} \\x=2[/tex]

Answer:

[tex]\boxed{x = 2}[/tex]

Step-by-step explanation:

A rational expression is undefined when Denominator = 0

Here Denominator = 2x-4

So,

=> 2x - 4 = 0

Adding 4 to both sides

=> 2x = 4

Dividing both sides by 2

=> x = 2

What is the length of chord ML? 20 units 24 units 26 units 30 units

Answers

Answer: 24 units

Step-by-step explanation:

MO, NO and LO are radii.

If MO = 13, THEN LO = NO = 13

IF NO = 13 and NP = 8, THEREFORE,

PO = NO - NP

PO = 13 - 8 = 5

USING PYTHAGORAS, WE CAN FIND MP:

MP = Sqrt(MO^2 - PO^2)

MP = sqrt(13^2 - 5^2)

MP = sqrt(169 - 25)

MP = sqrt(144)

MP = 12 units

P is the midpoint of Segment ML,

THEREFORE,

MP = PL

ML = MP + PL

ML = 12 + 12

ML = 24 units

Answer: 24

Step-by-step explanation:

edge

simplify the expression without negative exponents ​

Answers

Answer: [tex]-50a^{11}b^{9}[/tex]

Step-by-step explanation:

Any negative exponent can be moved to the other side of the fraction as a positive exponent.[tex]\frac{1}{x^{-3}}=x^3\\ \frac{x^{-3}}{1}=\frac{1}{x^3}[/tex]

Thus, simply move the negative exponents from the bottom into the numerator to get. -10a^2*b^4*5a^9*b^5.  Then, use the exponent rule to get [tex]-50a^{11}b^{9}[/tex]

Hope it helps <3

PLEASE HELP! I WILL GIVE BRAINIEST! Look at the figure below: A triangle ABC is drawn. D is a point on BC such that BD is equal to DC. A straight line joins points A and D. This line extend Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? a Triangle ABD and triangle ECD b Triangle ABC and triangle ECD c Triangle ABD and triangle ADC d Triangle ADC and triangle ABC

Answers

Answer:

ADB and ADC

Step-by-step explanation:

SAS is side angle side. so, which 2 triangles have same side, then angle, then side. We have to have it in that specific order.

Answer:

ABD and ECD

Step-by-step explanation:

EDC and ADB are vertical angles, so that is the angle we need for the SAS postulate. The markings on each of the corresponding sides is the same, which means we have 2 congruent sides, as well as an angle.

Solve by Cross multiplication method x+2y+1=0 and 2x-3y-12=0

Answers

Answer:

x = 3

y = -2

Step-by-step explanation:

x + 2y + 1 = 0

2x - 3y - 12 = 0

Multiply first equation by -2.

-2x + -4y + -2 = 0

2x - 3y - 12 = 0

Add equations.

0x + -7y - 14 = 0

Solve for y.

-7y = 14

y =-2

Put y as -2 in the first equation and solve for x.

x+2(-2)+1=0

x + -4 + 1 = 0

x = 0 + 4 - 1

x = 3

Answer:

[tex]\boxed{x = 3, y = -2}[/tex]

Step-by-step explanation:

[tex]x+2y +1 = 0[/tex]

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

[tex]2x-3y-12 = 0[/tex]

=> [tex]2x-3y = 12[/tex] -------------------(2)

Multiplying (1) by 2

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

=> [tex]2x+4y = -2[/tex] ------------------(3)

Subtracting (3) from (2)

=> [tex]2x-3y+2x-4y = 12+2[/tex]

=> -3y-4y = 14

=> -7y = 14

Dividing both sides by -7

=> y = -2

Now, Put y = -2 in Eq (1)

=> x+2(-2)+1 = 0

=> x -4+1 = 0

=> x - 3= 0

Adding 1 to both sides

=> x = 3

Uma makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes.

Scale 1: 1 centimeter = 3 meters.
Scale 2: 1 centimeters = 4 meters.

Options
A)Scale 1: 45 m; Scale 2: 60 m
B)Scale 1: 60 m; Scale 2: 45 m
C)Scale 1: 36 m; Scale 2: 27 m
D)Scale 1: 27 m; Scale 2: 36 m

Answers

Answer:

Scale 1: 1 centimeter = 3 meters.

Scale 2: 1 centimeters = 4 meters.

Step-by-step explanation:

your answer should be A

15*3=45

15*4=60

Answer:

A.)Scale 1: 45 m; Scale 2: 60 m

Step-by-step explanation:

bcuz......uhhhhhhh, ummmmmm:/

HELP PLS WITH BRAINLIEST

Answers

Answer:

cos C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos C = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{12}{13}[/tex]

What is the difference between a parallelogram and a rectangle? a Both pairs of opposite sides are congruent and parallel. b Contains four right angles. c The diagonals bisect each other. d Both pairs of opposite angles are congruent.

Answers

Answer:

b. Contains four right angles.

Step-by-step explanation:

A parallelogram has two pairs of opposite sides that are both congruent and parallel, as does a rectangle.

A parallelogram usually does NOT have four right angles, but a rectangle does. b Contains four right angles is the difference between a parallelogram and a rectangle.

The diagonals of a parallelogram bisect each other, and so do the rectangle's diagonals.

The opposite angles of parallelograms are congruent, and all four angles of a rectangle are congruent, so this is a similar aspect of both a parallelogram and a rectangle.

Hope this helps!

98 percent of all babies survive delivery. However, 15 percent of all births involveCesarean (C) sections, and when a C section is performed, the baby survives 96percent of the time. If a randomly chosen pregnant woman does not have a Csection, what is the probability that her baby survives?

Answers

S - a randomly chosen pregnancy result in a successful delivery

C - a randomly chosen pregnancy ending in a C section

Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.

Answers

Answer:

0

Step-by-step explanation:

Answer: it's C. 0

Also Happy early Christmas

The graph shows the distance Ted traveled from the market in miles (y) as a function of time in seconds (x). The graph is divided into four segments labeled P, Q.
R. and S
S
Distance
(mi)
R
P
Time (sec)
Which segment shows Ted waiting for a cab?

A) P
B) Q
C) R
D) S

Answers

Answer: Choice D)  S

Explanation:

The flat horizontal portion S is where the distance (y) does not increase or decrease. So Ted is stationary during this time frame.

In terms of speed, we would say speed = distance/time = (change in y)/(change in x). Note how this is the slope.

Rise = 0 because the horizontal line does not go up or down. The run is any positive number, though convention usually has Run = 1. Therefore, slope = rise/run = 0/1 = 0. All flat horizontal lines have a slope of 0 to indicate no upward or downward movement.

La suma de dos números es 50 y la diferencia es 22. ¿Cuáles son los números?

Answers

Answer:

(3,2)

Step-by-step explanation:

Just took the test

Other Questions
24 [ 33- (1+2)^2] = ? 21 + 3 (2-2^2) = ?[(14+[tex]\sqrt 4[/tex])2^3] - 14 = ? 20 + [18(4+1)] - (3^2 + 2) = ?please simplify the expressions using the proper order of operations. An elderly investor has a short-term investment time horizon, is very concerned about loss of liquidity and is very risk averse. Your main concern when making a recommendation to this client is: PLEASE HELP!!"After this fine last lesson I managed to make a small fire out of wet twigs, got a cup of tea, stripped off my dripping clothing, wrapped myself in a blanket and lay brooding on the gains of the day and plans for the morrow, glad, rich, and almost comfortable."This detailed sentence, used to describe the writer's activities, reveals the writer's (5 points)calculating waysmournful outlookdetailed plansutter exhaustionoptimistic attitude What is the solution to the system of equations graphed below? Which of the sentences below uses the apostrophe correctly?My three dog's hairbrush is getting really worn down.My three dogs hairbrush is getting really worn down.My three dogs' hairbrush is getting really worn down. how well do you fit the mythical norm of mainstream U.S. culture? The distance S that a certain object falls from a height of 350 ft in T seconds is given by the following formula.S = 350 - 16t^2 + vt Find S when T = 2 and V = -4S = ??ft what is the average when you add 122.99%, 108.46% and 102.65%? I don't know how to add percentages. They will ask you a lot of questions at the interviewSeleccione una:a. You are asked a lot of questions at the interviewb. You are been asked a lot of questions at the interviewc. You will be asked a lot of questions at the interview Question 8 (5 points)Which of the following best describes the mechanism by anti depressantmedications function?Provide a positive rush of the neurotransmitter dopamin-Made of artificial neurotransmitters that generate exciterO Allow the body to prochyce more neurotransmitters such aserotonin Instructions: Find the missing length indicated. Read the excerpt from "Daughter of Invention". "Sticks and stones don't break bones," she chanted. Yoyo could tell, though, by the look on her face, it was as if one of those stones the kids had aimed at her daughters had hit her. But she always pretended they were at fault. "What did you do to provoke them? It takes two to tangle, you know. What is the original meaning of the underlined idiom in this excerpt? People should not criticize others if they have similar problems. Sometimes, it is difficult for a person to make a decision. Words cannot actually hurt a person like sticks and stones can. A person who keeps moving has no responsibilities and no cares. Tarik winds a small paper tube uniformly with 163 turns of thin wire to form a solenoid. The tube's diameter is 6.13 mm and its length is 2.49 cm . What is the inductance, in microhenrys, of Tarik's solenoid? Can someone describe their own day Im just really lazy about it right now thankssss!!!! Solve the equation for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures. sine theta cosine theta minus sine theta equals 0A. {270 degree - 360 degree n, where n is any integer} B. {270 degree + 180 degree n, where n is any integer} C. {270 degree + 180 degree n, 315 degree + 180 degree n, where n is any integer} D. {270 degree + 360 degree n, 315 degree + 360 degree n, where n is any integer} Adam is going to cook a turkey for 14 people Justin is a 24-month-old male with multiple food allergies, including milk, eggs, and peanuts. At six months old a cooking utensil that had been used to cook eggs touched his arm and his mother noticed a significant dermatological response. As a result, Justins pediatrician advised her to avoid eggs, cows milk, and peanuts in Justins diet until food allergy testing could be done at two years of age. Fortunately, Justin hasnt had any negative reactions to soy milk. Food allergy testing has confirmed that Justin needs to continue to avoid cows milk and peanuts. His pediatrician plans to conduct food allergy testing annually and advises his mother that Justin will likely be able to outgrow the milk allergy. Justin is referred to a registered dietitian for an assessment of his growth and nutrition intake. His mother reports that he is able to feed himself and she has noticed no problems with chewing and swallowing. A 24-hour dietary recall shows Justin consumed the following foods:Fortified soy milk (4 ounces), rice cereal, bananas, grilled soy-cheese sandwich, fortified soy milk (4 ounces), green beans, apricots, orange juice (8 ounces), apple slices, almond butter on toast, apple juice (8 ounces), roast turkey, baked potato, green peas, and fortified soy milk (4 ounces).Date Weight Weight for age % Height Height for age % Weight for length % 12 months 23# a.____ 29" d.____ g.____18 months 26# b.____ 31.5" e.____ h.____24 months 29# c.____ 33.5" f.___ i.____1) Complete the above table. Is Justins growth on track?2) Does the diagnosis affect his nutritional needs? If so, how ? A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the persons weight, in pounds, when rounded to the nearest whole number? Imprudential, inc., has an unfunded pension liability of $582 million that mustb be paid in 20 years. To assess the value of the firms stock, financialal analysts to discount the liability back to the presentIf the relevant discount rate is 7.5 percent, what is the present value of this liability? (Enter your answer in dollars not in millions, e.g., 1,234,567. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) tate the postulate that verifies is in plane Q when points A and B are in Q.