25 points!!! Please help!!

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 kilograms and gained weight at a constant rate of 8 lbs. a week.

a. Write a function to represent this situation. Use x and y as your variables.

b. What would his weight be after 8 weeks?

Answers

Answer 1

Answer:

a) y= 8x+90 b) 154 pounds

Step-by-step explanation:

a) 90 will be the initial value (b) and 8 will be the slope (m)

this gives the linear function :

y = 8x + 90

b) to find his weight after 8 weeks plug in x=8

y= 64+90

y=154

154 pounds


Related Questions

HELP ILL GIVE MOST BRAINLY AND 50 POINTS
HURRY PLEASE

Answers

Answer: C Or the third answer

Step-by-step explanation:

You square root it and get x+b/2a=±(√b^2-4ac)/√4a^2 which is the third answer or c

Answer:

Third option

Step-by-step explanation:

(x + b/2a)² = (-4ac + b²)/4a²

Square root both sides

x + b/2a = +/- sqrt(b² - 4ac)/sqrt(4a²)

What are the solutions to x2 + 4x - 12 = 0?
x= -2 or x = 6
x= 3 or x= -4
x= 2 or x = -6
x= 4 or x = -3

Answers

Answer:

x= -6         x=2

Step-by-step explanation:

x^2 + 4x - 12 = 0

Factor,  what 2 terms multiply to -12 and add to 4

6* -2 = -12

6+-2 = 4

( x+6) (x-2) =0

Using the zero product property

x+6 =0    x-2=0

x= -6         x=2

Answer:

option C will be the correct answer

x= 2 or x = -6

Step-by-step explanation:

[tex]x {}^{2} + 4x - 12 = 0? \\ {x}^{2} + 6x - 2x - 12 = 0 \\ x(x + 6) - 2(x + 6) = 0 \\ (x - 2)(x + 6) = 0 \\ x - 2 = 0 \: \: \: \: or \: \: \: \: x + 6 = 0 \\ x = 2 \: \: \: \: or \: \: \: \: x = - 6[/tex]

Natalie can type 54 words per minute when transcribing an audio recording. Natalie needs to transcribe an audio recording with 7,938 words.

How many minutes will it take Natalie to transcribe the recording?

Answers

Answer:

147 mins

Step-by-step explanation:

7938/54

Answer:

147 minutes (2 hours, 27 minutes)

Step-by-step explanation:

7938/54

One-half of the dogs in each shelter are between which weights?
O between 8 and 30 pounds in shelter A; between 10 and 28 pounds in shelter B
O between 8 and 17 pounds in shelter A; between 10 and 16 pounds in shelter B
between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B
O between 28 and 30 pounds in shelter A; between 20 and 28 pounds in shelter B

Answers

Final answer:

The correct statement is B, which describes the weight loss range for the middle 50 percent of the members, indicating an interquartile range scenario.

Explanation:

The question you've asked seems to pertain to data interpretation and understanding statistical statements regarding weight loss in a specific group of members. This seems to be a statistical analysis question which falls under the subject of Mathematics. Specifically, this question is likely related to the topics of median, quartiles, and potentially, data distribution covered in high school level mathematics.

Based on the provided statements, the correct assertion appears to be B. The middle 50 percent of the members lost from two to 8.5 lbs. This statement indicates that the middle 50 percent is referring to the interquartile range in statistical terminology, which is a measure of statistical dispersion being the difference between the 75th and 25th percentiles. Choices A and C don't provide enough information to confirm their accuracy without additional context, and choice D cannot be correct without both A and C being correct.

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Answers

Answer:

5) 27/70

6) 90

Step-by-step explanation:

5) The first step in this problem is to figure out the amount of total spins. To do so, add up all of the numbers in the column "Frequency".

18 + 15 + 27 + 10 = 70.

Now, look at the amount of times the spinner landed on green. This is 27 times. So, the ratio of green spins to total spins is 27:70, or 27 out of 70 spins. Converting this to a fraction, we get the final answer, 27/70.

6) To solve this problem, we have to first do the same steps as the previous problem, but with the color red. There are 70 total spins, and 18 red spins. Therefore, the ratio is 18:70. However, this problem wants the total number of spins to be 350. In other words, 70 needs to become 350. To do this, multiply each side of the ratio by 5. The ratio becomes 90:350. Using this ratio, we can determine that a solid prediction is 90 red spins out of 350 total spins.

Answer:

5) 27/70

6) 90

Step-by-step explanation:

5)

What is the probability of spinning green?

Here are all of the values in the table:

Red = 18

Yellow = 15

Green = 27

Purple = 10

Add them together

= 70

Write green / total as a fraction

27/70

6)

Red = 18

Yellow = 15

Green = 27

Purple = 10

Write red / total (70) as a fraction

18/70

Multiply both the numerator and denominator by 5 to get a denominator of 350

18 * 5 / 70 * 5

90/350

Remove the denominator to find how many times he chose red out of 350 trials

90

Hope this helps :)

Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...

Answers

Answer:

- 515

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 15 and d = - 35 - (- 15) = - 35 + 15 = - 20, thus

[tex]a_{26}[/tex] = - 15 + (25 × - 20) = - 15 - 500 = - 515

Answer:

-515

Step-by-step explanation:

In this example the first value is −15 and every value afterwards is 20 less.After substituting these values to above formula, we obtain: All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515

If you need to put 28.93 gallons of ice cream into just cups, how many cups can you make out of these? Round to a whole number.

Answers

Answer:

16 cups = 1 gallon

16( 28.93) = 462.88

Therefore, there are 462 cups of ice cream.

Step-by-step explanation:

Answer:

463 cups

Step-by-step explanation:

16 cups in one gallon.

1 | 28.93

—————- = 462.88 cups

| 16

What do you get when you subtract 9 from b?

Answers

answer:

4

step by step:

b-9=4

When you subtract 9 from the variable "b," you get the expression:

b - 9

When you subtract 9 from the variable "b," you are performing a basic arithmetic operation in algebra. This subtraction results in a new value, which is b decreased by 9 units. In mathematical terms, it can be represented as:

b - 9

This expression represents the concept of taking a quantity, "b," and reducing it by 9. The result will depend on the specific value of "b." For example, if b = 15, then b - 9 would equal 6. If b = 20, then b - 9 would equal 11. In essence, subtracting 9 from "b" simply means subtracting 9 from the value represented by "b," whatever that value may be.

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Solve the inequality n + 20 < -42, and write the solution in interval notation.

Answers

Answer:

(-∞, -62)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsInterval Notation - [Brackets] denote inclusion, (Parenthesis) denote exclusion

Step-by-step explanation:

Step 1: Define

n + 20 < -42

Step 2: Solve for n

[Subtraction Property of Equality] Subtract 20 on both sides:                      n < -62

∴ Any number n smaller than -62 would work as a solution to the inequality. Our solution set in interval notation would be (-∞, -62).

Hadi earned $358.00 from job this week. Next week, he expects his pay to be 17% less than it was this week. How much money should Hadi expect to be paid next week?

Answers

Answer: $297.14

Step-by-step explanation:

Let n be his pay,

X = n - n(17%)

X = n - n(0.17)

X = (358) - 358(0.17)

X = 358 - 60.86

X = $297.14

65=15+x^2 solve for x

Answers

Answer:

±5sqrt(2) =x

Step-by-step explanation:

65=15+x^2

Subtract 15 from each side

65-15=15-15+x^2

50 = x^2

Take the square root of each side

±sqrt(50) = sqrt(x^2)

±sqrt(25*2) =x

±sqrt(25)sqrt(2) =x

±5sqrt(2) =x

7. If a 12 pack of soda cost Mr. Key $3.84, what would the unit price be for
one can? Write your answer using the constant of proportionality
equation
O
y 3.125x
O y-0.23
O y = 0,32%
y
0.30X

Answers

Answer:

32 cents

Step-by-step explanation:

3.84 ÷ 12 = 0.32 so 32 cents

A cereal company is putting 111 of 444 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1/41/41, slash, 4. Vera wonders how many boxes she should expect to buy to get all 444 prizes. She carried out 363636 trials of a simulation and her results are shown below. Each dot represents how many boxes it took to get all 444 prizes in that trial.

Answers

Answer:

(27/36) = (3/4) = 0.75

Step-by-step explanation:

The complete question is attached to this solution.

P(9 or fewer boxes) = P(x ≤ 9)

Since Vera carried out the simulation/experiment, this probability will be read from the results of her simulation (the dotplot).

Note that the dots on the numbers of the dotplot represent the number of boxes it took Vera to get all the prizes.

So, the probability of getting all the prizes in 9 or fewer boxes will be just counting the number of times in the simulation where she got the 4 prizes in 9 boxes or fewer.

This starts from the least number on the dotplot, 4 all the way to 9.

Total number of simulations = 36

P(x ≤ 9) = P(x=4) + P(x=5) + P(x=6) + P(x=7) + P(x=8) + P(x=9)

= (4/36) + (6/36) + (3/36) + (4/36) + (4/36) + (6/36) = (27/36)

Hope this Helps!!!!

Final answer:

This question is about the Coupon Collector's problem in probability theory. The expected number of cereal boxes one would need to buy to collect all 444 prizes can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n).

Explanation:

This problem is essentially a mathematical statistics problem, more specifically, it involves the concept of probability and expected value. In this case, the company is inserting a prize into each box of cereal. There are 444 unique prizes, and the probability of getting any specific prize is 1 out of 444. Therefore, the number of boxes one would need to buy to collect all prizes follows what is known as the Coupon Collector's problem in probability theory.

The expected number of boxes one would need to buy can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n), where n is the number of unique prizes.

Plugging n = 444 into the formula gives us: E[X] = 444*(1 + 1/2 + 1/3 + ... + 1/444). For a large number of trials, this value will closely approximate the average number of boxes one would need to buy to collect all 444 prizes.

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Find the value of x.

Answers

Answer:

11

Step-by-step explanation:

7x + 2 + 4x = 90

11x + 2 = 90

11x = 88

x = 11

The answer would be 11

Does -8 have a greater absolute value than 6

Answers

Answer:

yes.

Step-by-step explanation:

because -8 absolute value is 8

Answer:

yes beacuse -8 have a greater absolute value than 6

A roll of plastic electrical tape costs 2.79$. If the sales tax rate is 5% then how much sales tax is being charged?

Answers

Answer:

$0.1395

Step-by-step explanation:

$2.79 x 0.05 = 0.1395

Answer:

14¢

Step-by-step explanation:

To solve this problem, we need to multiply 2.79 by 5%.

First, lets change 5% into a decimal as shown below:

5% -> [tex]\frac{5}{100}[/tex] -> 0.05

Now, lets multiply 2.79 by 0.05:

[tex]x=2.79(0.05)[/tex]

[tex]x=.1395[/tex]

The last step is to round our number. 0.1395 rounded to the nearest hundredth gives us .14 (14¢)

The sales tax being charged is 14¢

Brittany surveyed the 37 students in her math class on whether they liked
jogging. Of the girls, 14 liked jogging and 8 did not. How many boys are in
Brittany's class?

Answers

Answer:15 boys

Step-by-step explanation:

14+8

37-22

There are 15 boys in the class. If u add 14+8 u get 22. Then subtract 37-22 u get 15. That is how many boys are in the class.

Identify the percent amount and base in this problem
75% of what number is 30%?

Answers

Answer:

2/5 or 0.4

Step-by-step explanation:

Let the number be x

75% of x = 30%

[tex]\frac{75}{100}*x=\frac{30}{100}\\\\x =\frac{30}{100}*\frac{100}{75}\\\\x=\frac{30}{75}\\\\x=\frac{2}{5}[/tex]

How many square feet of outdoor carpet will we need for this hole ?

Answers

Answer:

[tex]34.5^2[/tex]

Step-by-step explanation:

First figure out the rectangular part 3 x 8 = 24

Next find out the triangular part. Since we know that one half of the triangular part is 3 by 4, and a triangle is half a rectangle, we can figure out that 3 x 4 = 12 and 12/2 = 6, and do the same for the 3 x 3 triangle 3 x 3 =9 and 9/2 = 4.5

Now just add it all together: 24 + 6 + 4.5 = 34.5

What is the measure of JL (the minor arc)?

Answers

Answer:

164°

Step-by-step explanation:

By inscribed angle theorem:

[tex]m\overset {\frown} {JL} = 2 \times m\angle JKL\\

\therefore m\overset {\frown} {JL} = 2 \times 82°\\

\huge \red {\boxed {\therefore m\overset {\frown} {JL} = 164°}} \\ [/tex]

Answer:

164

Step-by-step explanation:

I learned about it.

Translation,rotation,reflection or dilation?

Answers

Answer:

I believe this would be a translation

Step-by-step explanation:

Answer:

Translation

Step-by-step explanation:

You didn’t flip it you just moved it

True or false:(6.9×10^8) (3.1×10^8)=2.139×10^17.

A true
B false

Answers

Answer:

True

Step-by-step explanation:

Answer:

i believe true

Step-by-step explanation:

i worked it and i got the same answer

What is tan 11 pie/6

Answers

Answer:

5.75

Step-by-step explanation:

The ratio of a right angle to the total degrees in a circle is
Select one:
a. 1:2
b. 1:4
c. 1:3
d. 1:5

Answers

Yes the ratio of a right angle is 1:4

The ratio of a right angle to the total degrees in a circle is 90:360, which simplifies to a ratio of 1:4.

The ratio of a right angle to the total degrees in a circle can be found by comparing the degree measures of each. A right angle is 90 degrees, and a full circle is 360 degrees.

Therefore, the ratio of a right angle to the total degrees in a circle is 90:360.

When simplifying this ratio, we divide both terms by 90, the degree measure of the right angle, which gives us 1:4.

Hence, the ratio is simplified to 1:4.

The two cones below have the same radius, height, and
volume.
Are the two cones congruent? Explain and include
details to support your clain

Answers

I don't want to write the whole thing for you since that would be plagiarism for you to take, but be sure to include these key points:

One cone is oblique.

The cones have different slant heights.

The lengths of all corresponding edges are not equal.

Congruent cones must have congruent corresponding measures, including slant height.

Hope this helps!

Final answer:

The two cones are congruent because they have the same radius, height, and volume - all factors that determine a cone's size and shape.

Explanation:

Yes, the two cones are congruent. In mathematics, two shapes are considered congruent when they have the exact same size and shape. When it comes to cones, this means that they possess the same radius and height. Since the question states that both the radius and height of the two cones are the same, we can deduce that the cones are congruent. The volume of a cone is determined by its radius and height (V=1/3πr²h) and since this is also the same for the two cones, it backs up the claim of congruency.

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In Vincent's classroom there are red chairs, yellow chairs, and blue chairs. There are 6 red
chairs. There are 3 times as many yellow chairs as red chairs, and there are 2 fewer blue
chairs than yellow chairs. How many chairs are there in Vincent's classroom?

Answers

Answer:

40 chairs

there are 6 red chairs

18 yellow chairs

and 16 blue chairs

added together that is 40

Step-by-step explanation:

Solve the following system of equations.

{y= 7x + 11
{y= −3x + 1

Enter your answer as an ordered pair using parentheses and a comma,
like this: (42, 53)

Answers

Answer:

I don't know if I'mwrong right or worng because I got the same answer -1,4

Step-by-step explanation:

The solution of the system as an ordered pair is (-1, 4).

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

A system of equations.

y = 7x + 11   {equation 1}

y = −3x + 1    {equation 2}

Substituting the value of y from the equation 1 to equation 2,

7x + 11 = -3x + 1

10x = -10

x = -1

And y = 4

Therefore, the solution is (-1, 4).

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Clint found the area of the parallelogram shown. Which statement explains the error Clint made?

A parallelogram with a base of 11 centimeters, height of 4 centimeters, and side length of 5 centimeters.

Clint’s Work:
A = (b) (h). A = (11) (5). A = 55 centimeters squared.

a.Clint used the wrong units. He should have used cm, as that is what was in the diagram.

b.Clint used the wrong formula. He should have used A = one-half b h.

c.Clint did not use all three numbers in the diagram. He should have multiplied them all.
d.Clint did not use a height perpendicular to the base. He should have used 4 for the height.

Answers

Answer:

D

Step-by-step explanation:

like it said, he used 5 instead of the actual height which is 4

Answer:

D

Step-by-step explanation:

The area of a parallelogram is denoted by: [tex]A=bh[/tex] , where b is the base and h is the height that is perpendicular to the base. Depending on what kind of parallelogram it is (square, rectangle, rhombus, regular parallelogram), that height could be the side length, but usually it is not; it is only the side length in special cases, like a square.

Here, we are given that the base is 11 and that the height is 4. Since the problem gives us two different values for the height versus the side length, we know that for this parallelogram, the height is not the same as the side length. Thus, we must use 4 for the height and 11 for the base in the area formula.

Therefore, the only answer that correctly points out this mistake is D.

Hope this helps!

1/2 plus what equals 7/8

Answers

Final answer:

To find the number that, when added to 1/2, equals 7/8, you must subtract 1/2 from 7/8. The solution to this problem is 3/8, meaning that 1/2 plus 3/8 equals 7/8.

Explanation:

To solve the problem 1/2 plus what equals 7/8, you need to subtract 1/2 from 7/8. This is because you want to find out what number added to 1/2 will give you 7/8. Here is the step-by-step solution:

Convert 1/2 and 7/8 into decimal form. This would be 0.5 and 0.875, respectively. Then subtract 0.5 (which is 1/2) from 0.875 (which is 7/8). This results in 0.375. Then, convert 0.375 back into a fraction. The decimal 0.375 is equal to the fraction 3/8.

So, 1/2 plus 3/8 equals 7/8.

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Final answer:

To find the number that when added to 1/2 equals 7/8, convert 1/2 to 4/8 so both fractions have a common denominator. Subtract 4/8 from 7/8, resulting in 3/8. Thus, 1/2 plus 3/8 equals 7/8.

Explanation:

The student is asking us to find the number that, when added to 1/2, equals 7/8. To solve this, we need to find a common denominator, which is 8 in this case. For 1/2, we multiply the numerator and denominator by 4 to convert it to 4/8. Now we have a common denominator, so we can find the missing number.

7/8 - 4/8 = 3/8

Therefore, 1/2 plus 3/8 equals 7/8. This calculation is based on the intuition that a number is needed to bridge the gap between 4/8 and 7/8.

The frequency table represents the job status of a number of high school students.

A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150.

Which shows the conditional relative frequency table by column?

A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.

Answers

Final answer:

To create the conditional relative frequency table, divide each entry in the original frequency table by the corresponding entry in the 'total' column.

Explanation:

The conditional relative frequency table can be created by dividing each entry in the original frequency table by the corresponding entry in the 'total' column. The first column in the conditional relative frequency table will still have the labels 'currently employed', 'not currently employed', and 'total'. The second column will be labeled 'Looking for a job' with entries 0.12, 0.38, 0.33. The third column will be labeled 'Not looking for a job' with entries 0.7, 0.65, 1.0. And the fourth column will remain labeled 'total' with entries 0.27, 0.73, 1.0.

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He opens his psychology book to the chapter on sensation and perception, and is surprised to find that the auditory cortex, which allows him to make sense of the various sound waves, is located in the __________. a. temporal lobe of the cortex b. fusiform sound area c. prefrontal cortex and limbic system d. ventromedial hypothalamus officially named the March on Washington for Jobs and Freedom, on August 28, 1963, a quarter of a million people marched to the Lincoln Memorial to demand that Congress end Jim Crow racial discrimination and launch a major jobs program to bring needed employment to black communities.i have a drema speech O Jos lanou uma bola de cima de um muro. A distncia da bola ao cho, em metros, quando percorre horizontal, dada por d (x) = -0,4x/2 + 1,6x + 2 The image below represents a phase in what process?ConjugationMitosisBinary fissionTransduction What should you do if you cannot find information about polar bear using the term North pole bears When Lorraine's twins were born nine weeks early and were hospitalized because of their prematurity,she spent every day at the hospital with them. Her neighbors wanted to help in any way they could, so they cut her lawn and watered her flowers while she was gone. Lorraine's parents helped by caring for her 3-year-old son, so Lorraine could be with the babies. The help she received in her time of need from her neighbors and parents is best described as _____ a) emotion-focused coping. b) social support. c) perceived control. d) a secondary appraisal. The volume of a sample of N2 gas was decreased from 13.81 to 3.63 L. If the final pressure exerted by the N2 sample was 261.1 kPa, what pressure did the N2 exert before its volume was decreased? On January 1, 2016, Hobart Mfg. Co. purchased a drill press at a cost of $30,500. The drill press is expected to last 10 years and has a residual value of $5,500. During its 10-year life, the equipment is expected to produce 500,000 units of product. In 2016 and 2017, 22,500 and 79,000 units, respectively, were produced.Required:Compute depreciation for 2016 and 2017 and the book value of the drill press at December 31, 2016 and 2017, assuming the straight-line method is used.2016 2017Depreciation:Book Values: How are mountains formed by various rock cycle processes? Starch is a polymer of glucose molecules in plants with a role analogous to that of glycogen in animals. Starch synthesis requires ADPglucose generated by ADPglucose pyrophosphorylase. The biochemical mechanism of ADPglucose pyrophosphorylase catalysis is similar to that of UDPglucose pyrophosphorylase. What is the driving force for the ADPglucose pyrophosphorylase reaction? a. production of ADPglucose b. hydrolysis of ADPglucose c. production of pyrophosphate d. hydrolysis of pyrophosphate A reduction in sea ice due to climate change has negatively affected the food abundance of _______.A. FrigatesB. AlbatrossesC. PenguinsD. PloversE. Pelicans