One batch of brownies calls for 1 box of brownie mix and the ingredients shown.
Fudge-like brownie
2 eggs
1/4 cup of water
1/2 cup of oil
Cake-like brownie
3 eggs
1/4 cup of water
1/2 cup of oil

a. What amounts of eggs, water, and oil would you need for 2 batches of fudge-like brownies?

b. What amounts of eggs, water, and oil would you need for 3 batches of cake-like brownies?


Sorry if it's all confusing. If you don't know, then don't answer. Please answer if you know ASAP.

Answers

Answer 1

a) The amounts needed for 2 batches of fudge-like brownies are of:

Eggs: 4.Water: 1/2 cup.Oil: 1 cup.

b) The amounts needed for 3 batches of cake-like brownies are of:

Eggs: 9.Water: 0.75 cups.Oil: 1.5 cups.

How to obtain the needed amounts?

The needed amounts for each case are obtained applying the proportions in the context of this problem.

Hence:

The amounts needed for 2 batches of fudge-like brownies are obtained multiplying the amounts given for 1 box of fudge-like brownie (2 eggs, 1/4 of a cup of water and 1/2 of a cup of oil) by 2.The amounts needed for 3 batches of cake-like brownies are obtained multiplying the amounts given for 1 box of cake-like brownie (3 eggs, 1/4 of a cup of water and 1/2 of a cup of oil) by 3.

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Answer 2

The amounts of eggs, water, and oil needed for 2 batches of fudge-like brownies are:

eggs = 4cup of water = 2/4cup of oil = 1

The amounts of eggs, water, and oil needed for 3 batches of cake-like brownies are:

eggs = 9cup of water = 3/4cup of oil = 3/2

What is the ingredients needed for 2 batches?

One batch of Fudge-like brownies:

2 eggs

1/4 cup of water

1/2 cup of oil

One batch of Cake-like brownie

3 eggs

1/4 cup of water

1/2 cup of oil

The amounts of eggs, water, and oil needed for 2 batches of fudge-like brownies can be determined by multiplying each ingredients by 2

eggs = 4

cup of water = 2/4

cup of oil = 1

The amounts of eggs, water, and oil needed for 3 batches of cake-like brownies can be determined by multiplying each ingredients by 3

eggs = 9

cup of water = 3/4

cup of oil = 3/2

Therefore, the ingredients needed for the other batches is determined by multiplying each ingredients by the number of required batches.

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Related Questions

PLS HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP

Answers

Answer:

let the first and second table box as 12345 and abcde

1,a

2,c

3,e

4,b

5,d

Step-by-step explanation:

you can use

y=mx+b form m is slope , b is y intercept

m with variable x and b without any variable I.e it is real value

What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?

12
15
17
18

Answers

The solution to the expression is 18

Your answer would be d, 18

will give brainliest please help

Answers

Answer:

A. 7x + 3x = 10x, B. 6s - 3s + 4s = 7s, C. 4T - 6T = -2T, D. 4xy + 3xy + x = 7xy + x, E. (6x) ^2 = 36x^2, F. 6x/2x = 3.

Step-by-step explanation:

A. explanation: Add 7x and 3x. B. explanation: Simplify the expression. C. explanation: Subtract 6T from 4T. D. explanation: Add 4xy and 3xy. E. explanation: Simplify the explanation. F. explanation: Simplify the expression.

Answer: give her brainliest

Step-by-step explanation:

hey mackenzie :)

Alec starts up a monthly subscription potato box. It costs 18.20 dollars per month,
and comes with 16 potatoes in each box. Each subscriber may order any amount of
”luxury potatoes”, that are separate from the 16 that normally come in the box, for
an additional 5 dollars each.
(a) Write a formula for the monthly revenue, R in dollars, earned by Alec as a function
of s, the number of monthly subscribers, and n, the total number of luxury potatoes that his clients order. R(s, n) =

(b) Using your formula from above, find R(10, 3)

Answers

A. The formula (mathematical function) for the monthly revenue, R, earned by Alec, R(s, n) = $18.20s + $5n.

B.  Using the formula above, the value of R(10, 3) is $197.

What is a function?

A function is an expression, rule, or law defining the relationship between an independent variable and a dependent variable.

Functions are used to define physical relationships between variables.

Data and Calculations:

Cost monthly subscription = $28.20 per box

Number of normal potatoes in each box = 16

Cost of additional luxury potatoes = $5 per potato

If the monthly revenue function, R, is given as R(s, n) where:

s = number of monthly subscribers

n = total number of luxury potatoes ordered

The monthly revenue, R, earned by Alec, R(s, n) = $18.20s + $5n.

The value of R(10, 3) is $197 ($18.20 x 10 + $5 x 3)

Thus, using the formula above, the value of R(10, 3) is $197.

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The measure of the second angle of a triangle is three times the measure of the first. The measure of the third angle in the triangle is 12 degrees less than twice the measure of the first angle. Find the measures of each angle in the triangle.

Answers

Answer:

First  angle:

x =32

Second angle:

3x

3(32) = 96

Third angle:

2x - 12

2(32) -12 =52

Step-by-step explanation:

x + 3x + 2x - 12 = 180  The sum of the interior angles of a triangle is 180

6x -12 = 180  Combine the x terms

6x = 192  add 12 to both sides

x = 32

Check: 52 + 96 + 32 = 180

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Answers

The value of x in the similar triangles is 18

How to solve similar triangles?

Similar triangles have the same shapes but may have different sizes.

Corresponding side of similar triangles are a ratio of each other.

Therefore,

UV / BC = AU / AB

Hence,

UV = 444 units

BC = 703

AU = 20x + 108

AB = 20x + 108 + 273 = 20x + 381

Therefore,

444 / 703 = 20x + 108 /  20x + 381

cross multiply

444( 20x + 381) = 703(20x + 108)

8880x + 169164 = 14060x + 75924

8880x  - 14060x  = 75924 -  169164

-5180x = -93240

x = -93240 / -5180

x = 18

Therefore, the value of x in the similar triangles is 18

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The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the breakrooms. She considers two methods of obtaining a sample of 600 employees from the 4,700 employees at the company.

Part A: To make the process easier, the CEO considers surveying the first 600 employees who enter a company annual conference center. Identify the type of sampling method proposed and discuss why this sampling method might be biased. (5 points)

Part B: The second method the CEO is contemplating involves using a random number generator app to choose a simple random sample of 600 employees from a list of 4,700 employee names. How could she implement this method? (5 points)

Answers

The type of sampling method proposed is a convenience sampling because it's a non-probability sampling method.

What is convenience sampling?

Convenience sampling can be defined as a type of non-probability sampling method which involves surveying and selecting representatives that are easily accessible.

The CEO could implement the second sampling method as follows:

Assign a serial number to each employees of the total 4,700 employee names.Use a random number generator software to obtain 600 random numbers.The 600 random numbers in Step 2 above forms the desired sample of 600 employees out of 4,700 employees at the company.

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Simplify the following ​

Answers

Answer:

29/12

Step-by-step explanation:

hello :

2/3  +5/6  +11/12 = (2×4)/(3×4)  + (5×2)/(6×2)  + 11/12

2/3  +5/6  +11/12 = 8/12  +10/12  +11/12 = (8+10+11)/12

2/3  +5/6  +11/12 = 29/12

Answer:

[tex]2\frac{5}{12}[/tex]

Step-by-step explanation:

To add fractions, we have to make sure that they have the same denominators. To do that, we have to find their lowest common multiple (LCM).

The LCM of 3, 6, and 12 is 12.

Then we have to multiply the numerator and denominator of each fraction by a number so that the denominator becomes the LCM (12).

[tex]\frac{2}{3} + \frac{5}{6} + \frac{11}{12}[/tex]

⇒ [tex]\frac{2 \times 4}{3 \times 4} + \frac{5 \times 2}{6 \times 2} + \frac{11 \times 1}{12 \times 1}[/tex]

⇒  [tex]\frac{8}{12} + \frac{10}{12} + \frac{11}{12 }[/tex]

⇒ [tex]\frac{8+10+11}{12}[/tex]

⇒ [tex]\frac{29}{12}[/tex]

⇒ [tex]\bf 2\frac{5}{12}[/tex]

find the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years

Answers

The interest obtained after 4 years from a loan of $7500 is = $750

Calculation of generated interest

The principal amount of the loan = $7500

The rate at which the interest is paid is = 2.5%

The time that it will take to pay the interest = 4 years

Using the formula for Simple interest;

SI= P×T×R/100

SI = 7500×4 × 2.5/100

SI= 75000/100

SI=$750

Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750

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How much, including taxes of 12%, would you pay for an item with a retail price of $194.95?

Answers

Answer:

$217.88

Step-by-step explanation:

12% of 194.95 plus the original cost of 194.94 equals the total

1.12*194.54 = $217.8848

Rounded: $217.88

Lewis High School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent.
Here are the positions and the people interested in each.

Position People interested
Faculty members Dr. Wright, Mr. Torres, Mrs. Lee, Ms. Reed
Male students Jose, Ali, Tony
Female students Donna, Keiko, Rita
Parent Dr. Wilson, Dr. Patterson, Ms. Rivera, Mrs. Ross, Ms. Bell

Answers

The number of possible committees from the given list is; 120 committees

How to Solve Probability Combinations?

From the given list, we can say that;

Number of faculty members = 4

Number of male students = 2

Number of female students = 3

Number of parents = 5

Thus, the number of ways to fill the 4 member committee is calculated from probability combination as;

Number of committees = 4 * 2 * 3 * 5 = 120 possible committees

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You own 17 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?

Answers

The probability that all five end up in alphabetical order is; 1/120.

What is the probability that the rack ends up in alphabetical order?

To evaluate the given probability; first, the number of possible arrangements is;

17P5 = 742,560 possible arrangements.

However, the chance of an alphabetical order arrangement in each case is; 1 out of 5! possible arrangements.

Hence, we have that the number of possible alphabetical arrangement is; (1/120) × 742,560 = 6188.

Hence, the required probability is; 6188/742,560 = 1/120

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what two numbers add to the number 30

Answers

Answer:

15+15

Step-by-step explanation:

Two 15's added together can equal 30

When the absolute value of slope gets bigger the graph of the line gets ???

Answers

The slope of a line is defined as rise by run i.e.
how much y value changes with respect to the
change in × value. So the slope gives the
steepness of the line.
Slope O indicates there is no change in y when
the x value is changed and so the line with
slope 0 is a horizontal line. A line with slope 1
shows with 1 unit change in ×, y changes by 1
unit. Likewise slope equal 2 indicates with 1 unit
change in ×, y changes by 2 units.
We can see as the absolute value of slope is
increasing, the change in y with respect to x is
increasing i.e. the line is becoming more tilted or
steep.
Hence, we can conclude that:
The graph of a line gets Steeper as the absolute
value of the slope gets bigger.
C is the correct answer.

50 POINTS!!!!!!!! PLEASE ANSWER THIS QUICKLY WITH AN EXPLANATION!!!!!!!!! ANSWER ALL OF THEM

Answers

Answer:

  (b) 27°

  (c) 34°

  ( ) 27°

Step-by-step explanation:

Angle relations involving lines, parallel lines, and triangles come into play here.

angles of a linear pair total 180°angles of a triangle total 180°vertical angles are congruentcorresponding angles at a transversal crossing parallel lines are congruent

(b)

The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.

  (180° -6x) +90° +(180° -4x) = 180°

  270° = 10x . . . . . . . . . add 10x and simplify

  27° = x

(c)

The vertical angles at S are congruent. This tells us ...

  3x +∠PSQ = 4x

  ∠PSQ = x

The sum of angles in triangle PSQ is 180°, so we have ...

  x +x +(180° -68°) = 180°

  2x = 68° . . . . . . . . add 60°-180°

  x = 34° . . . . . . . . . divide by 2

( )

Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.

  2x +2x +72° = 180°

  4x = 108° . . . . . . subtract 72°

  x = 27° . . . . . . . . divide by 4

Compute the monthly payments for each add-on interest loan. The amount of the loan is $1150. The annual interest rate is 6%. The term of the loan is 4 years

Answers

The monthly payments for each add-on interest loan is computed to be $29.71.

Given Information and Formula Used

Principal Amount of the loan, P = $1150

Rate of Interest of the loan, R = 6%

Term of loan in years, T = 4

The formula for simple interest is given as follows,

I = (P × R × T)/100

The formula for amount of add-on interest loan is given by, A = P + I

Calculating the Interest of the Loan

Interest of the loan, I = (P × R × T)/100

Now, substituting the given values of P, R, and T in the above formula, we get,

I = $ (1150 × 6 × 4)/100

I = $ 27600/100

I = $276

Calculating the Total Monthly Payment for the Loan

Amount of loan, A = P+I

A = $1150 + $276

A = $1426

Monthly payment of the loan with interest = A/(4×12)

= $ 1426/48

= $29.71

Thus, the monthly payments for each add-on interest loan comes out to be $29.71.

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Levada borrows $30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%

Answers

Levada borrows $30,900 from her bank to open a florist shop at rate of 0.98% per month.

How to calculate simple interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

It is given that Levada borrows $30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%.

P = $30,900

T = 18 months

Interest  = 5.5%

Interest rate =  P×R×T

5.5 = 30,900 × R × 18

R = 0.000988

Or, R = 0.98% per month.

The complete question is

"a) How much must she pay the bank in 18 months?"

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Which of the following systems of linear inequalities is represented by the
solution graphed below?
A. y>2 and ysx
B. y 22 and y C. x>2 and y2x
D. x22 and y> x

Answers

Answer: B

Step-by-step explanation:

The line y=2 is solid and shaded above, so it represents [tex]y \geq 2[/tex].

This allows us to eliminate all the options except for B.

Solve for x. Find all solutions from 0 to 2 π . ​Show all work as you solve each problem - you may need more space to show your work for each. Remember there may be more than 1 solution for x.
Questions are attached below

Answers

Answer:

x=189

Step-by-step explanation:

please mark me as brainiest

Type the correct answer in each box. If necessary, round your answer(s) to the nearest hu The vertices of AABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of AABC is ​

Answers

Answer:

  22.81

Step-by-step explanation:

The distance formula can be used to find the distances between pairs of vertices. The perimeter is the sum of those distances.

Side lengths

The distance formula is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using this formula the triangle side lengths are ...

  AB = √((6 -(-2))^2 +(2 -2)^2) = √(8^2) = 8

  BC = √((0 -6)^2 +(8 -2)^2) = √(6^2 +6^2) = 6√2

  CA = √((-2 -0)^2 +(2 -8)^2) = √(4 +36) = √40

The perimeter of the triangle is the sum of these lengths:

  P = 8 +6√2 +2√10 ≈ 22.8098

The perimeter is about 22.81 units.

Simplify √-50.
O 5√2
O 5i-√2
O-5√2
-5i√2

Answers

Answer: [tex]5i\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{-50}\\\\=\sqrt{-1} \sqrt{50}\\\\=5i\sqrt{2}[/tex]

On the number line above, points A, B, C, and D are integers, and AB: BC: CD = 3:2:1. What is the length of AC?

Answers

Using proportions, it is found that the length of AC is of 15 units.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The ratios in this problem are given as follows:

[tex]\frac{AB}{BC} = \frac{3}{2}[/tex].[tex]\frac{BC}{CD} = \frac{2}{1}[/tex].[tex]\frac{AB}{CD} = \frac{3}{1}[/tex].

The entire length is of 18 units, AB is half of that, hence:

AB = 0.5 x 18 = 9 units.

BC is two thirds of the length from 6 to 15, hence:

BC = 2/3 x (15 - 6) = 6

Thus, the length of AC is:

AC = 9 + 6 = 15 units.

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Mark all the relative minimum points in the graph.
See attached!

Answers

The relative minimum point in the graph is (-6, 2)

How to determine the relative minimum?

To do this, we simply locate a point that at a lower level, when compared to its neighboring points

Using the above highlight, there is only one relative minimum point in the graph

And the point is located at (-6,2)

Hence, the relative minimum point in the graph is (-6, 2)

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A coin has two sides head and tails a die has six sides if you roll the die what is the probability that you flip heads and roll a number greater than 5

Answers

Using it's concept, the probability that you flip heads and roll a number greater than 5 is: [tex]\frac{1}{12}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

The probability of a head is 1/2.The probability of a number greater than 5 is 1/6.

Hence the probability of both events is:

[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex].

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vRichard has a red card (R) and a black card (B). He picks a card randomly from the pair and then rolls a six-sided die. The sample space of the event is listed. B-1 R-1 B-2 R-2 B-3 R-3 B-4 B-5 R-5 B-6 R-6 The missing term in the list is . If there were three cards instead of two, the sample size would be .

Answers

The Sample space for three cards is

[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)[/tex][tex]\left(B,5\right),\left(R,5\right),\left(G,5\right),\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}[/tex]

There are two cards red(R) and black(B) and a six-sided die.

The event is one card is picked randomly and then rolls the die.

So, the Sample space is as follows.

[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(B,2\right),\left(R,2\right),\left(B,3\right),\left(R,3\right),\left(B,4\right),\left(R,4\right),\left(B,5\right),\left(R,5\right),\left(B,6\right),\left(R,6\right) \right \}[/tex]

Find Sample space if there are three cards.

Consider there were three cards red(R), black(B) and green(G) a six-sided die.

The event is one card is picked randomly and then rolls the die.

So, the sample space will be as follows,

[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)[/tex][tex]\left(B,5\right),\left(R,5\right),\left(G,5\right)\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}[/tex].

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Which of these is smaller? 1/3 or 35%

Answers

♨ANSWER♥

1/3 = 1/3 × 100%

= 33%

☆ 33 % < 35 %

Therefore

* 1/3 is the smaller one.

...hope this helps...

_♡_mashi_♡_

The comparison of  1/3 and 35% in decimals shows that 1/3 is smaller than 35%.  

Given that:

The fraction is  1/3 and the number in percentage is 35%.

The conversion of  a fraction to a percentage can be obtained by  dividing the numerator by the denominator and multiply by 100.

The decimal form of the fraction 1/3 is 33.33...%

1/3 ≈ 0.3333...

0.3333... * 100 ≈ 33.33...%

The value 35% is already in percentage.

Since, both the values are in percentage form, it can be easily compared.

On comparing, the resultant would be

33.33...% < 35%

Since 35% is greater than 33.33...%

It can be concluded  that 35% is larger than 1/3.

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I need help on this question please help me

Answers

The expression that shows the best use of the associative and commutative properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is C. [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Associative and Commutative properties

From the question, we are to determine the expression that shows the best use of the associative and commutative properties

The given expression is

[tex]\frac{3}{4}-5+9 -\frac{2}{4}+2[/tex]

To easier simplify the expression, we can group the fractions together and group the whole numbers together

That is,

[tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Hence, the expression that shows the best use of the associative and commutative properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is C. [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

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CAN sb HELP MI >_>
what it 0.00000000000000035467 in the scientific notation

Answers

Answer:

3.5467 × 10^-16

guillermo has sold 95,47,114, and 72 appliances in the last fourth months,respectively.how many appliances will he need to sell this month to maintain an average of 80 sales per month?

Answers

The number of appliances that Guillermo needs to sell this month to main an average of 80 sales per month is 72 units.

What is an average?

An average refers to a central value obtained after adding together several amounts and then dividing this total by the number of variables added.

An average is a central value in a dataset.

Data and Calculations:

Average sales per month = 80 units

Number of months involved = 5 months

Total for five months based on the average = 400 units

Total units sold in four months = 328 (95 + 47 + 114 + 72)

Sales units required to meet the average target = 72 (400 - 328)

Thus, the number of appliances that Guillermo needs to sell this month to main an average of 80 sales per month is 72 units.

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Find the ends of the major axis and foci

Answers

The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).

What is the axis and foci about?

The term 'foci' is known to be the point at which there is the coming together of light or any other kinds of electromagnetic radiation, particles, etc.

It is also seen as the point from which they seems to go apart.

[tex]\frac{x^{2} }{144} + \frac{y^{2} }{169} = 1[/tex]

[tex]\frac{x^{2} }{12^{2} } + \frac{y^{2} }{13^{2} }[/tex]

Hence, major axis is = (0, ± 13)

e = [tex]\sqrt{1 -\frac{12^{2} }{13^{2} } }[/tex]

= 5/13

Foci is: (0± 13 x [tex]\frac{5}{13}[/tex])

Foci is: (0, ±5)

Therefore, The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).

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the outcomes members collectively seek by joining together are called Select ALL of the scenarios that represent a function. A. the circumference of a circle in relation to its diameter B. the ages of students in a class in relation to their heights C. Celsius temperature in relation to the equivalent Fahrenheit temperature D. the total distance a runner has traveled in relation to the time spent running E. the number of minutes students studied in relation to their grades on an exam Darlene purchases $20,000 worth of stock on her brokers advice and pays her broker a 1.5% broker fee what is the molar solubility of ca3(po4)2? (ksp of ca3(po4)2 = 2.01029) pablo picassos girl before a mirror relates to the theme of vanitas through which of the following elements? A) the rotten food in the corner reflects the fact that all living things decayB) the woman looks in a mirror to contemplate her beauty, which will fade over timeC) the realistic depiction of a cemetery reminds us that death is inevitableD) the instruments remind us that life, like music, is transientE) the skull on the table represents death speech on topic Sports can boost leaning effectiveness Last year, Martina opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 21%. Need help pls In what ways does Alexander show the historical oppression of African Americans from slavery to todays New Jim Crow? Please explain with analysis. 200 words please How do you determine the long-term trend for a time-series decomposition model?Multiple Choicea. It is estimated by using the moving average for the time period as the dependent variable and a time index as the independent variable.b. It is estimated by using an OLS time trend with the centered moving average as the dependent variable and a time index as the independent variable.c. It is estimated by using the trend equation to generate the trend value of the seasonal indices for the historical and forecast periods.d. It is estimated by using a simple linear equation where time is equal to 1 for the first period in the data set and increases by one for each period thereafter. Bowman's capsule and the glomerulus make up the _____.(a) renal pyramid(b) loop of Henle(c) renal corpuscle(d) renal papilla(e) collecting tubule system. what character says "didn't sleep well. feel terrible..god i'm hungry. i can't figure it."? in the us, as housing prices change: group of answer choices consumption changes in the same direction consumption changes in the opposite direction there is no relationship with consumption. true or false? 1. Read the paragraph and choose a sentence that describes it best. On the way across the Aegean Sea, Caesar was kidnapped by pirates and held prisoner. He maintained an attitude of superiority throughout his captivity. The pirates demanded a ransom of 20 talents of silver, but he insisted that they ask for 50. After the ransom was paid, Caesar raised a fleet, pursued and captured the pirates, before imprisoning them. He had them crucified on his own authority, as he had promised while in captivitya promise that the pirates had taken as a joke. a) Caesar was a vane man who thought 20 talents is too little of a ransom b) Caesar was very brave and kept to his word to kill the pirates c) Pirates didnt believe Caesar will kill them because he was their prisoner d) The pirates didnt kill Caesar not only because he was promised to be paid for, but because he made them respect him the sociological perspective that argues that power is in the hands of those with the most economic resources is called _____________________. Which statement best summarizes the relationship between investments andproductivity?O A. Companies use investments to reduce the opportunity cost of lowproductivity.B. Companies with poor productivity use investments to becomemore efficient.OC. Companies use investments to reduce their need for high levels ofproductivity.OD. Companies with high levels of productivity never need to worryabout investment.QURMIT at which type of plate boundary would you be most likely to find normal faults? Which of the following is least likely to benefit the civilian economy?A. R&D carried out in government laboratoriesB. R&D aimed at producing new weaponsC. direct private sector R&D spendingD. tax policy promoting civilian R&D spending c. suppose you deposited the $1,000 in 4 payments of $250 each at the end of years 1, 2, 3, and 4. how much would you have in your account at the end of year 4, based on 8 nnual compounding? Calculate the zero point energy of a hydrogen molecule in a one-dimensional box of length 2.19 cm . Draw the expanded structural formula for the following condensed formula. (Draw all hydrogen atoms.) CH2=CHCH2CH2CH(CH3)2.