Find the measure of angle f given the information below. giving brainliest for whoever is correct

Find The Measure Of Angle F Given The Information Below. Giving Brainliest For Whoever Is Correct

Answers

Answer 1

According to the given figure of triangle , f = 58 °

What is Linear pair of angles ?

A linear pair of angles is formed when two lines intersect at a single point. The angles are said to be linear if they follow the point where the two lines intersect in a straight line.

The sum of the angles in a pair of linear equations is always 180°. These are also referred to as additional angles.

According to the given information

We are given that

a = 119°

Applying linear Pair of Angles

a + b = 180°

119° + b = 180°

b = 180° - 119°

b = 61 °

We know that

b = c = 61 °

According to Angle sum Property

b + c + f = 180°

61° + 61° + f = 180°

f = 180 - 61 -61

f = 58 °

According to the given figure of triangle , f = 58 °

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Related Questions

Please ignore the triangles on the side

best answer gets brainliest

Answers

Answer:

103.98cm

Step-by-step explanation:

14 + 14 = 28

20 + 20 = 40

(14(3.14)) / 2+ 14 = 35.98cm

40 + 28 + 35.98 = 103.98cm

Gia is making chocolate truffles. Using the table, find the constant of proportionality

Answers

Using the table we find the constant of proportionality  is 15/8

What is constant of proportionality?

The ratio that establishes a proportionate link between any two given values is referred to as the constant of proportionality. There are also other names for the constant of proportionality, such as constant ratio, constant rate, unit rate, constant of variation, and even rate of change.

Here,

Since from the table we have to find the constant of proportionality

So, the values of ounces of milk(x) are

30,45

and the values of amount of truffle(y) are

16,24

So for finding the constant of proportionality We take 2 cases,

a)Taking first values of x & y

x/y=30/16

x/y=15/8

b)Taking secondary values of x & y

x/y=45/24

x/y=15/8

Therefore the constant of proportionality  is 15/8

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need help on this one

Answers

Answer:

  19 units

Step-by-step explanation:

You have midline LM marked as 6x+1 and parallel baseline IJ marked as -6x+56 in triangle IJK. You want to know the length of LM.

Midline

The midline of a triangle is half the length of the parallel base:

  LM = 1/2(IJ)

  6x +1 = 1/2(-6x +56) . . . . . substitute expressions

  6x +1 = -3x +28 . . . . . . . simplify

  9x = 27 . . . . . . . . . . . . sdd 3x-1

  x = 3

Now, we can find LM:

  6x +1 = 6(3) +1 = 19

The measure of LM is 19 units.

Here are the shopping times (in minutes) of nine shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 6 .)

Answers

The answer for all 3 of the boxes is 3. The number of observations for each class interval of a variable is shown in group frequency distributions.

Complete the grouped frequency distribution for the data ?

DISTRIBUTION OF GROUPED FREQUENCIES

The greatest score is H, while the lowest is L.

By dividing the range by a number of groupings or classes, you can estimate the class width w.

Establish the class intervals.

Add up the scores for each period in the appropriate number.

The shopping time (in minutes) of the nine shoppers are:

15, 16, 18, 20, 22, 25, 27, 28, 29 (just to make it easier to read, I rearranged  everything from least to greatest.)

We can see, that 3 shoppers shopped for 15-20 minutes.

And, 3 shoppers shopped for 21-26 minutes.

And finally, 3 shoppers shopped for 27-32 minutes.

So the answer for all 3 of the boxes is 3.

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ashley was born on 06/10/1961. how many 8 digit codes could she make using the digits in her birthday

Answers

3360, 8 digit codes could she make using the digits in her birthday.

What is the 4 digit code?

A quick, thorough, and evidence-based method for diagnosing the full range of outcomes seen in people who have had prenatal alcohol exposure is the 4-Digit Code.

Given the date:

Birth date = 12/24/2002       06/10/1961

Number of digits = 8 = 8! = (8*7*6*5*4*3*2*1) = 40320

Repeated digits :

digit 6 = 2 times = 2! = 2*1 = 2

digit 1 = 3 times = 3! = 3*2*1 = 6

Therefore the number of 8 digit codes that can be formed is :

8! / (2! * 3!)

40320 / (2 * 6)

40320 / 12

= 3360

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Solve the following problems

Answers

The values of x and y for fig. 1) is 5/4 and 4/7, for fig. 2) x = 15, y = 4 and for fig. 3) x = 3 and y = 2

What is Thales theorem?

Thales's Theorem or Basic Proportionality Theorem states that if a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

Given are three figures of triangles,

Figure 1)

5/x+5 = 8/10

50 = 40+8x

x = 5/4

y = 7/7+y = 8/10

70 = 56 +8y

y = 4/7

Figure 2)

12/12+y = 18/18+6

12/12+y = 18/24

48 = 36 +3y

y = 4

12/4 = x/5

x = 15

Figure 3)

y/4 = 1.5/3

y = 2

x/6 = 1.5/3

x = 3

Hence, the values of x and y for fig. 1) is 5/4 and 4/7, for fig. 2) x = 15, y = 4 and for fig. 3) x = 3 and y = 2

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PLEASE HELP ASAP! (35 POINTS)

Ummi sees an advertisement for her favorite cereal. Then she writes these quotients.


2.90/10 = 0.29/1 3.48/12 = 0.29.1 4.48/16 = 0.28.1


Part A: What do Ummi's quotients represent in this situation?


Part B: If you were to graph the (weight, cost) pairs for each box, would you be able to draw a straight line through the points? EXPLAIN.


ANSWER ALL PARTS.

Answers

Ummi's quotients in this situation represent the unit rates of the advertisement

You will not be able to draw a straight line through the points

Part A: What do the quotients represent?

From the question, we have the following quotients parameters that can be used in our computation:

2.90/10 = 0.29/1 3.48/12 = 0.29.1 4.48/16 = 0.28.1

These can be rewritten as

2.90/10 = 0.29/1

3.48/12 = 0.29/1

4.48/16 = 0.28/1

The quotients mean that

Unit rate = Total amount spent/Number of adverts

So, the quotient expressions represent the unit rate

Part B: Would you be able to draw a straight line through the points?

Recall that

2.90/10 = 0.29/1

3.48/12 = 0.29/1

4.48/16 = 0.28/1

The values of the quotients are not equal

This means that it is not possible to draw a straight line through the points

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Find the difference between (5.5n^2 + 8-3) and (-3n^2-5)

Answers

i believe it’s 21.25, but i could be wrong.

what i did was 5.5 to the 2nd power and got 30.25n+8-3. then simplified it to 30.25+5.

then got 9n for -3^2. so the remaining equation is 9n-5

30.25n+5
9n-5
the 5s cancel each other out leaving..
30.25n-9n = 21.25.

im not 100% certain tho.

Solve your system of equations from part A using elimination. Then, complete the statement. Type the correct answer in each box. Use numerals instead of words. The test has questions worth 2 points and questions worth 4 points

Answers

There are 15 two-point questions and 5 four-point questions.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Let x be two-point questions and y be four-point questions. We know that there are 20 questions so the number of two-point questions plus the number of four-point questions equals 20. So x + y = 20. We also know that the total number of points is 50, so 2x + 4y = 50.

Solving the system:

1) x + y = 20

2) 2x + 4y = 50

Isolate x in 1) to get x = 20-y, then plug into 2)

2(20-y) + 4y = 50

2y=10  

y = 5,

It means that there are 5 four-point questions. Plug y = 5 into either equation to get x = 15 so there are 15 two-point questions.

x + y = 20

x + 5 = 20

x = 15

Hence, there are 15 two-point questions and 5 four-point questions.

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Answer:

Step-by-step explanation:

the test ha 65 questions worth points and 5 questions worth 4 points

help help help help help help help help help help help help help help help help help help help help help hel

1. Which equation represents a line that has a slope of 2 and passes through the origin?
A y=2x
B. y=x+2
C. y x
D. y=-x

A regular jeepney ride costs $12.00 for the first 4 km, and each additional km adds P1.50 to the fare
2. Which of the following can be used to compute a regular fare (F), in pesos, for a 6-km nde?
A. F = 12(7)
B. F=12(7)+1.50
C.=12(150)+7
D.=12+2(1.50)

A regular jeepney ride costs P12.00 for the first 4 km, and each additional km adds P1.50 to the fare
3. How much is the regular fare for a 6-km ride?
A. P15
B. P13.50
C. P14.50
D. P16

4.Which equation represents a vertical line?
A. y =2x
B. x = 2
C. y = 3
D. y = -x​

Answers

1. Which equation represents a line that has a slope of 2 and passes through the origin?

A y=2x

B. y=x+2

C. y x

D. y=-x

2. A regular jeepney ride costs $12.00 for the first 4 km, and each additional km adds P1.50 to the fare. Which of the following can be used to compute a regular fare (F), in pesos, for a 6-km nde?

A. F = 12(7)

B. F=12(7)+1.50

C.=12(150)+7

D.=12+2(1.50)

3. A regular jeepney ride costs P12.00 for the first 4 km, and each additional km adds P1.50 to the fare. How much is the regular fare for a 6-km ride?

A. P15

B. P13.50

C. P14.50

D. P16

4.Which equation represents a vertical line?

A. y =2x

B. x = 2

C. y = 3

D. y = -x​

solve
2(2.1z+4.5)<21.6

Answers

The solution to the given inequality 2(2.1z + 4.5) < 21.6 to solve for the unknown value of z is z < 3

How to solve inequality?

Inequality refers to a statement that is of two quantities in which one is specifically less than (or greater than) another.

The symbols of inequality includes;

Greater than >Less than <Equal to =Greater than or equal to ≥Less than or equal to ≤

2(2.1z + 4.5) < 21.6

open parenthesis

4.2z + 9 < 21.6

substract 9 from both sides

4.2z < 21.6 - 9

4.2z < 12.6

divide both sides by 4.2

z < 12.6 / 4.2

z < 3

Hence, z < 3 satisfies the value of z in the inequality 2(2.1z + 4.5) < 21.6

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What is the approximate percentage of women with platelet counts between 3 and ​4.1?

Answers

The approximate percentage of women with platelet count between 3 and 4.1 is 350

How to solve for approximate percentage?

We should know that platelet deals the cells that are found in our body which assemble together when they discover bad blood in the cells.

The range of women is given as 3-4.1

The average of the women is [tex]\frac{3+4.1}{2}=\frac{7.1}{2}[/tex]

Simplifying the expression we have

= 3.5

The appromimate percentage is 3.1*100=350 women

In conclusion the approximate percentage of women with blood platelet is 350 women

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36. Rapid City is having its annual citywide celebration. The city wants to rent a bumper-car ride. The pieces used to make the floor are 4 foot-by-5 foot rectangles. The ride covers a rectangular space that is 40 feet by 120 feet. a. How many rectangular floor pieces are needed? b. The ride costs $20 per floor piece and $10 per bumper car. How much would it cost Rapid City to rent the floor and the bumper cars? (You will need to decide how many bumper cars will be appropriate.)​

Answers

Answer:

a. 240pieces

b. 4800+ 10x

Step-by-step explanation:

a. 40÷4=10, 120÷5=24, 10×24=240

b. (240×20)+ (x×10)= 4800+ 10x ===> x is the number of cars

f(x) = 2(3)^x What are the coordinates of the y-intercept of the function? Enter your answer by filling in the boxes.​

Answers

Answer: (0,2)

Step-by-step explanation:

to find the y intercept, solve for f(x) when x = 0

f(0) = 2(3)^0 = 2(1) = 2

therefore the coordinates of the y intercept are (0,2)

what is the probability of drawing two aces from a standard deck of cards, given that the first card is an ace? the cards are not returned to the deck.

Answers

1/34 is the probability of cards are not returned to the deck.

What does the math term "probability" mean?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                                   Statistics is the study of events subject to probability.

A = the first card of ace.

B = Drawing two ace from a standard deck

P(AB) = ²C₄ / ²C₃₂

P(A) = ¹C₄ ¹C₅₁ / ²C₃₂

P(B/A) =P(AB)/P(A)

           = ²C₄ /  ²C₃₂ *  ²C₃₂ /  ¹C₄ ¹C₅₁

            = ²C₄ /¹C₄ ¹C₅₁

             = 1/2 * 17

             = 1/34

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A sales tax is charged on some items at a grocery store but not charged on others. When the
taxable items total t dollars and the non-taxable items total n dollars, the total bill is 1.06t +
n dollars. Malia went shopping yesterday. She spent $20 on taxable items and $8.20 on non-
taxable items.
How much was Malia's total grocery bill?

Answers

Answer:24.90

Step-by-step explanation: My brain

Which value for x makes the sentence true? 4x - 2 = 18 A. x = 5 B. x = 4 C. x = 24 D. x = 20

Answers

Answer: X = 5

Step-by-step explanation:

4x - 2 = 18

    +2    +2

4x = 20

/4     /4

x = 5

4(5) -2 =18

20 - 2 =18

18=18

What is 2 1/4 divided by 4????
1. 5/8
2. 1/10
3. 10
4. 1 3/5

Answers

Step-by-step explanation:

2 1/4 = 9/4

9/4 ÷ 4

9/4 x 1/4

9/16

so neither of these answers?

dory orders three soft tacos and three double Deckers for 11.25. Nemo pays 10.00 for four soft tacos and two double Deckers. write a system of equations that represent the lunch orders for dory and Nemo. Use x to represent soft tacos and y to represent double Deckers.​

Answers

Answer:

Soft tacos are $1.25 each, while double deckers are $2.5 each.

(I didn't have time for a step by step explanation at the moment)

Sorry

Simplify
f(x) = 8x+5 find f(5)

Answers

Answer: To find the value of f(5), we need to substitute 5 for x in the expression f(x) = 8x+5. This gives us:

f(5) = 8*5+5 = 45

So, the value of f(5) is 45.

Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.
How much did the bicycle cost?

Answers

Hugo needs 15 weeks to pay back his brother completely if he pays $2 a week.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division.

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

According to the given question:

Hugo decided to pay $2 a week to his brother to buy a bicycle.

The equation y - 10 = - 2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.

To pay back to the brother he must owe no money which is y = 0.

∴ The weeks needed is,

0 - 10 = -2(x - 10).

- 10 = -2x + 20.

2x = 30.

x = 15.

He needs 15 weeks to pay back completely.

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This morning, Russell took a history test. He got 25 out of 50 problems right. What percentage did Russell get right?

Answers

Answer: 40%

Step-by-step explanation:

How can -6.75 + -10.25 be expressed as the sum of its integer and decimal parts

Answers

-17 can be expressed as the sum of its integer and decimal parts.

-6.75+(-10.25)

Remove parentheses: (-a)=-a

=-6.75-10.25

Subtract the numbers: -6.75-10.25=-17

=-17

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

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The Beta club sold hot pretzels as a fundraiser. The pretzels normally sold for $2.00, but near the end of the sale, the price was reduced by 25%. What was the new price for a hot pretzel?

Answers

Answer: The new price for a hot pretzel is 1.50

Step-by-step explanation: 200*75/100=150

y=3x + 1 if x =-2 then y=?

Answers

Answer:

Step-by-step explanation:

If x equals -2 then you multiply 3 times -2 which equals -6 then add 1. Your total then is -5. Y equals -5

yeah if x equals -2 then u have to multiply 3 times -2 and that equals -6. then u have to add 1. so therefore y equals -5

What is the result of -21÷(-2-5)+(-14)+6×(8-4×3) ? I need help
​​

Answers

Combined calculation:

Answer:

[tex]\begin{gathered} \sf - 21 \div (2 - 5) + ( - 14) + 6 \times (8 - 4 \times 3) = \\\sf- 21 \div (2 - 5) + ( - 14) + 6 \times (8 - 12) = \\ \sf- 21 \div( - 3) + ( - 14) + 6 \times ( - 4) = \\ 7 + ( - 14) +( - 24) = \\ \sf 7 - 14 - 24 = \\ \sf - 7 - 24 = \\ \sf \green{ - 31}\end{gathered}[/tex]

When we solve combined calculations, we must first separate into terms when there is an addition or a subtraction.

Then, we solve the operations respecting the hierarchical order of the operations:

First we solve the powers and roots.Then divisions and multiplications.Finally, addition and subtraction.

If the calculation has grouping signs, they must be solved in the following order:

Parenthesis.Brackets.Keys.

Merry Christmas and Happy New Year

The Alpha.

Answer:

negative 36

Step-by-step explanation:

You will useva method known as BODMAS its a principle of combined operations like the one above in mathematics.

B-brackets

O-Of (multipliction) ;commonly used when fractions are involved

D- division

M- multiplication

A- addition

S- subtraction

Working out:

first we will solve the brackets then rewrite the question with the answer obtained

-2-5=-7

8-4×3= minus 4

new question :

-21÷-7+-14+6×minus 4

Next is division since there is no of

-21÷-7=3

Negative divided by negative equals positive

3+minus 14 +6×minus 4

Now do multiplication 6×minus 4= minus24

3+ minus 14+minus 24=minus 36

use distributive property to create an equivalent expression to 40+4x.

Answers

Answer:

4(10+x)

Step-by-step explanation:

find the gcf: 4

divide everything by the gcf: 4(10+x)

Answer:There are 3 answers 4(10+x), 4(10)+4(x), 40+4x

What is the slope of the line that passes through the points (-8, -1) and
(-8, -11)? Write your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

The slope of a line is defined as the change in y-coordinate divided by the change in x-coordinate between two points on the line. In this case, the change in y-coordinate between the two points is -11 - (-1) = -10, and the change in x-coordinate is 0 since both points have the same x-coordinate. Therefore, the slope of the line that passes through the points (-8, -1) and (-8, -11) is -10/0, which is undefined.

For the function f(x) = 2x +8, determine f(-3)
A) 2
B) 3

Answers

Answer:

2

Step-by-step explanation:

we replace x with -3

f(-3)=2(-3)+8

f(-3)=-6+8

f(-3)=2

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find the critical points of the given function and then determine whether they are local maxima, local minima, or saddle points. f(x, y)

Answers

The local maxima is(1,0) , local minima is indefinite and the saddle point is (1,0).

As per given in the question ,

f(x,y)=[x2+1 ]

          [-2y   ]

The critical points are therefore (1,0) and (1,0).

The Hessian is currently

∇²f(x,y)=[−2x     0

               0     −2]

2 and 2 are the eigenvalues of the function 2f(1,0).

As a result, (1,0) is a saddle point and 2f(1,0) is indefinite.

Two and two are the eigenvalues of 2f(1,0).

As a result, (1,0) is a maximum and 2f(1,0) is negative definite.

Critical point: If f (p) = 0, then a point p U is f's critical point.

In light of this, the tangent plane to z = f when f is differentiable (x) at (p, f (p)) is horizontal.

Theorem: Assume that f exists and possesses a local extremum at position p. Then, p is a f critical point, with the result that f (p) = 0.

Example: Take into account f (x, y) = x 2 y 2. Once again demonstrating that (0, 0) is the only crucial point of f, fx = 2x = 0 and fy = 2y = 0

However, (0, 0) is not a f local maxima.

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Other Questions
PLSSSS HELPPP!!!Failure Leads to GrowthWhen I was in high school, I set a goal to break the record on my track team for the one-mile run. The record was 4:18 (4 minutes, 18 seconds). I did everything in my power to break the record. During the off-season, when most people were not practicing, I ran thousands of miles and lifted weights in my bedroom. I stopped drinking soda for two years. Even when the temperature was below zero, I ran for an hour at a time, coming home with icicles on my face.I failed. I did not run the mile in 4:18. The same thing will happen to you. You will set goals. You will work very hard. You will sometimes fail. But failure may be OK.Let's look at my high school track goal again. When I was a freshman, I ran the mile in 4:50. When I set the goal to run the 4:18, I was aiming into my Not Yet Circle.Even though I failed to break the record, I did run a 4:28, so 4:28 moved from my Not Yet Circle to my Can Do CircleDespite failing to reach my goal, my Can Do expanded to include the ability to run a mile in 4:28.What claims does Mawi make in this passage? He set a goal to run the mile in 4:18, and worked hard to try to meet the goal. He set a goal to run the mile in 4:18, but did not work hard to try to meet the goal. He set a goal to run the mile in 4:28, and worked hard to try to meet the goal. He set a goal to run the mile in 4:28, but did not work hard to try to meet the goal. which of the following is used to create a subset of data that matches certain criteria and that can be saved for future reference or use? What was a problem created by the Articles of Confederation?It forced states to put down rebellions. It created easy ways to change the structure of government.It created an unfavorable treaty with Britain.CIt allowed the government to spend too much money and cause debt. Jenny has five exam scores of 100 , 83 , 96 , 84 , and 98 in her biology class. What score does she need on the final exam to have a mean grade of 90 90 ? Round your answer to two decimal places, if necessary. (All exams have a maximum of 100 100 points.) Pete's three puppies need to run 5 2/3 miles every day. Today Coco ran only 2 1/2 miles. How many more miles does Coco need to run today so that he runs 5 2/3 miles? 1. PART A: Which TWO of the following bestidentify the central ideas of this speech?OA. The current democratic administration iscracking down on Communists in anunconstitutional manner.OB. The democratic nominee for president is not fitto fight communism because the TrumanAdministration appointed him.OC. The republican nominee for president is morefit than the democratic nominee to fightCommunists because of his experience fightingNazis in World War II.OD. It is morally wrong for anyone to manipulatecampaign finances for their own personalbenefit.OE. It is morally wrong for Nixon to takecontributions to his political Fund for personaluse, so Eisenhower would be wise to drop himfrom the ticket.OF. It is morally wrong for Nixon to takecontributions to his political fund for personaluse, but since he did not do so, he is morallysound. Which sentence is an example of assonance? help please g determine how fast the top of the ladder is sliding down along the vertical wall when the base is 6 ft from the wall true or false: the rules of wheelchair rugby are very similar to traditional rugby played by able bodied individuals. A baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2\frac{1}{2} times its birth weight.How many pounds did the baby weigh at the end of 8 months? Suppose you have just obtained a 30-year home mortgage for $120,000 at an APR of 5%. Find the required monthly payment. the government plans to build a new dam shaped like a rectangular prism. The base is 1,224 feet long and 660 feet wide. The dam will be 726 feet high. Ignore the spaces within the dam that will be hollow to hold machinery. If the dam were made of solid concrete, how many cubic feet of concrete would be needed. please help 1. What is artificial intelligence and why is it useful in information systems?2. Summarize the history of artificial intelligence detailing its origin and future state in technology today.3. Is artificial intelligence the same thing as machine learning? Explain. WRONG ANSWERS WILL GET REPORTED THANK YOU NATURAL SELECTION KILLS 38 QUADRILLION ORGANISMS IN BLOODIEST DAY YET 3. It is painfully clear this slaughter was perpetrated by force that holds zero regard for the value of life. (Paragraph 4) explain the irony in this statement and how it contributes to the articles use of satire Can you explain this quote PLEEZ? "Truth is a hard deer to hunt, if you eat too much truth at once, you may die of the truth." ............This quote is said by the father in the story "By the Waters of Babylon" By: Steven Vincent Benet...Thank-You for all you help!! I really need it! THANKS Which of the following would you use for a trauma victim withcrushed chest injuries? which of the following are advantages of deformation processes compared to other metal manufacturing processes? [select all that apply] What are three differences between the way Chile celebrates Christmas versus the way we celebrate in the united stats when a large company downsizes, some of the middle-aged and older workers who are laid off find it difficult to get another job. when such workers decide to start their own businesses, they are known as . 42 minus blank equals 29