I need help plz
The mapping below represents all of the
points on a graph. Is the graph a function?

I Need Help Plz The Mapping Below Represents All Of Thepoints On A Graph. Is The Graph A Function?

Answers

Answer 1
Yes, it is a function. Every input (x value) has only one output (y value). You can see this because each x only has one line pointing from it. If you were to graph this function, you would see that it passes the vertical line test.

Related Questions

4x+8 Factorise les expressions

Answers

Answer: 4(x+2)

Step-by-step explanation:

1. Take the GCF from both terms and put it on the outside of the parentheses

2. Factor each term inside of the parentheses, in this case, 4

Based on the given information, what is AE?
O 2 units
O 7 units
O 12 units
O17 units

Based on the given information, what is AE?O 2 unitsO 7 unitsO 12 unitsO17 units

Answers

Answer:

the answer is "12 units"

Step-by-step explanation:

edg 2021

The correct option is Option C: the value of AE is 12 units.

What are congruent triangles?

Congruent triangles are the triangles whose size and shapes are the same. The angle and the sides of two congruent triangles are also congruent.

Here given in the question

CB = AB

∠DBC = 90°

∠ABE  = ∠DBC = 90° (opposite angles formed by the intersection of  AC and DE.)

As ∠CBE and  ∠ABE   are supplementary angles and form a straight line.

∠CBE + ∠ABE =180°

⇒∠CBE =  180° - ∠ABE  = 180°- 90°= 90°

Between triangle Δ CBE  & ΔABE

∠CBE = ∠ABE = 90°

CB = AB  given

BE = BE  common

triangle Δ CBE  & ΔABE are congruent.

=> Δ CBE  ≅ ΔABE( by S-A-S Congruency)

=> CE = AE ( as triangle Δ CBE  & ΔABE are congruent then the sides are same.)

=> AE = 12 units

Therefore The correct option is Option C: the value of AE is 12 units.

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Subtract as indicated.
13
- (
15
6 13
5 15
(Simplify your answer. Type an integer or a simplified fraction.)

(Someone please answer)

Subtract as indicated.13- (156 135 15(Simplify your answer. Type an integer or a simplified fraction.)(Someone

Answers

-6/5 - (-13/15) = -6/5 + 13/15 =

= -18/15 + 13/15 = -5/15 = -1/3

HELPPPPPP MEEEEE

Question
Use the mapping to determine which of the following are elements of the domain.

Need the map to know the answer the photo of it is up there if you want a better view of it.

110
130
24.0
140
20.6
18.9

HELPPPPPP MEEEEEQuestionUse the mapping to determine which of the following are elements of the domain.

Answers

Answer:

110, 130, 140

Step-by-step explanation:

The x-values are the elements of the domain.


What is the remainder in the synthetic division problem below?
4 6 - 1
A. 3
B. 7
C. 5
D. 9

Answers

Answer:

so,6-1 3+7x5 9

Multiple: 7 * 5 = 35

Divide: the result of step No. 1 / 9 = 35 / 9 = 3.88888889

Add: 3 + the result of step No. 2 = 3 + 3.88888889 = 6.88888889

On a hike, Twyla traveled from an altitude of 527 meters to an altitude of 487 meters. Which statement uses absolute value correctly? *

Answers

Answer:

Difference, D = 40

Step-by-step explanation:

This question requires options. Since there's none, I'll answer generally.

Represent the distances with d1 and d2

d1 = 527 Meters

d2 = 487 Meters

Required

Determine the absolute difference

The absolute difference (D) of the given distances can be calculated using the following expression

D = |d1 - d2|

Substitute values for d1 and d2

D = |527−487|

D =|40|

D = 40

Hence, Twyla traveled 40 meters.

Sheila manages a team of editors at a publishing company. To help determine deadlines, she developed a model based on past
projects. In the model below, x represents the number of pages which require editing, and y represents the total number of days required to complete the editing.
y = 1/85x

Sheila manages a team of editors at a publishing company. To help determine deadlines, she developed

Answers

The linear equation that models the number of days it will take Sheila's team to edit x pages, y = (1/85)·x indicates that the correct statement is option C.

C. Her team can edit 85 pages in one day

What is the slope-intercept form of linear equations?

The slope-intercept form of linear equations is; y = m·x + c, where the coefficient m is the slope and c is the y-intercept.

The parameters of the model, y = (1/85)·x are;

x = The number of pages that require editing

y = The number of days required to complete the editing

Therefore, the model is in the slope and intercept form of a linear equation, where;

1/85 =  The slope

The y-intercept is zero

The slope indicates that 85 pages can be edited in one day, therefore the number of days to edit 170 (2 × 85) pages is 2 days

Similarly, when the number of days, y = 1, and the number of pages to be edited, x = 1, we get;

y = (1/85)·x

1 = (1/85)·x

x = 1/(1/85) = 85

The number of pages that can be edited in one day is 85 pages

The correct statement is therefore;

C. Her team can edit 85 pages in one day

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Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.

Answers

The variance of Billy's grades obtained from his test scores is 15.76

What is variance?

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

The variance is therefore; 78.8/5 = 15.76

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2+2=
a. 3
b. 5
c. 4
d. 7

Answers

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

Which mixed number is represented by the shaded
area? 2 2/5, 2 3/5, 2 2/3, 2 3/2?

Which mixed number is represented by the shadedarea? 2 2/5, 2 3/5, 2 2/3, 2 3/2?

Answers

Answer:

2 3/5

Step-by-step explanation:

A line passes through the point (4,-6) and has a slope of -3/4which is the equation of the line?

Answers

Answer:

y=(-3/4)+3

Step-by-step explanation:

PLEASE ANSWER - PLEASE ANSWER
The diagram shows triangle ABC. ABC and BED are straight lines. AB = 12.2cm, CD = 5.8cm, BE:ED = 3:1, Angle ADB = 90°, Angle ABD = 38°.
Work out the size of angle DCE, correct to 1 decimal place. SHOW ALL WORKING IN TEXT FORM, NO IMAGES.

 PLEASE ANSWER - PLEASE ANSWER The diagram shows triangle ABC. ABC and BED are straight lines. AB = 12.2cm,

Answers

The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

How to obtain the measure of angle DCE?

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

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Answer:

x = 22.5°

Step-by-step explanation:

BD = cos(38)*12.2 = 9.61

DE = 9.61*¼ = 2.4

∠DCE = tan(2.4/5.8) = 22.5°

Please, help me find the answer

Please, help me find the answer

Answers

The probability values for the questions posed are :

11/20probability of Public speaking given that student is majoring in Business Administration1/3

A.)

Number of students Taking a public speaking class majoring in business administration.

10 + 45 = 55

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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A population of values has a normal distribution with �=189.7 and �=96.7. You intend to draw a random sample of size �=62.

Find the probability that a single randomly selected value is between 189.7 and 213.
P(189.7 < X < 213) =

Find the probability that a sample of size �=62 is randomly selected with a mean between 189.7 and 213.
P(189.7 < M < 213) =

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Answers

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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HELP PLEASE
What is the area of the kite below?

HELP PLEASE What is the area of the kite below?

Answers

Answer:

Area = 33 inches squared

Step-by-step explanation:

The formula for the area of a kite is:

Area = ½ × (d)1 × (d)2

To find the first diagonal (d1):

d1 = 7 in + 4 in = 11 in

To find the second diagonal (d2):

The triangles on the right of the kite must be 3 4 5 triangle since it is a right triangle with a hypotenuse of 5 and a side of 4, we know half of a diagonal would be 3 inches.

d2 = 3 in + 3 in = 6 in

Now we can plug the diagonals into the area formula.

Area = ½ × 11 × 6 = 33 inches squared

Answer: A = 33 in²

Step-by-step explanation:

Given information:

Longer side = 7 in

Shorter side = 4 in

Shorter Hypotenuse = 5 in

Given formula:

A = (1/2) × (d₁) × (d₂)

A = aread₁ = The longer line (horizontal)d₂ = The shorter line (vertical)

Please refer to the attachment below for a graphical understanding

Determine the length of the shorter side (vertical) through the Pythagorean theorem

a² + b² = c² (Pythagorean theorem)

(4)² + b² = (5)² (Substitute values into the equation)

16 + b² = 25

b² = 25 - 16

b² = 9

b = 3  or b = -3 (rej)

Substitute values into the given formula

A = (1/2) × d₁ × d₂

A = (1/2) × (7 + 4) × (3 + 3)

Simplify values in the parenthesis

A = (1/2) × 11 × 6

Simplify by multiplication

A = (11/2) × 6

\(\Large\boxed{A=33}\)

Hope this helps!! :)

Please let me know if you have any questions

8t=56 plsssssss helppp mee

Answers

8t = 56
t = 56/8
t = 7

Answer: t=7

Step-by-step explanation:

1. Isolate x or divide both sides by 8: t=56/8

2. Simplify: t=7

Have a nice day! :D

Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units

Answers

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

How to find the distance between a point and a line?

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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What is the domain of the square root function graphed below?

On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return

Answers

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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A coin is flipped 10 times and the sequence of heads and tails recorded. In how many ways can a sequence consist of exactly 3 heads and the rest tails?

Answers

We can use the binomial probability formula to solve this problem. The formula is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where:
- P(X=k) is the probability of getting exactly k successes
- n is the total number of trials
- k is the number of successes
- p is the probability of success in one trial
- (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items

In this problem, we want to find the number of ways to get exactly 3 heads in 10 coin flips. The probability of getting a head in one coin flip is 1/2, so p=1/2. The number of trials is n=10, and the number of successes we want is k=3. Plugging these values into the formula, we get:

P(X=3) = (10 choose 3) * (1/2)^3 * (1/2)^(10-3)
= (10! / (3! * 7!)) * (1/2)^10
= 120 * (1/2)^10
= 0.1171875

Therefore, there are 0.1171875 ways to get exactly 3 heads in 10 coin flips. Since we can't have a fraction of a sequence, we can say that there is only 1 way to get exactly 3 heads in 10 coin flips (since there is only one sequence that satisfies this condition).

there are 120 different ways a sequence of 10 coin flips can consist of exactly 3 heads and the rest tails.

To solve this problem, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by the formula n choose k, which is written as C(n,k) or sometimes as nCk.

In this case, we want to choose 3 heads from a set of 10 coin flips. The number of ways to do this is C(10,3) = 120.

Once we have chosen the 3 heads, the remaining 7 flips must all be tails. There is only one way to arrange 7 tails, since they are all the same.

Therefore, the total number of sequences that consist of exactly 3 heads and the rest tails is 120.

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Which expressions are equivalent to 24-7? Choose all the correct answers. Show your work.

Which expressions are equivalent to 24-7? Choose all the correct answers. Show your work.

Answers

The equivalent expressions to \(24^{-7}\) are given as follows:

C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)

F. \((24^3 \times 24^4)^{-1}\)

What are are equivalent expressions?

Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.

The exponent in the denominator can be moved to the numerator with the changed signal, hence:

\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)

Applying the power of power rule, we multiply the powers, hence:

\((24^7)^{-1} = 24^{-7}\)

When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:

\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)

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Which of the following angles are congruent?

Which of the following angles are congruent?

Answers

Answer:

angle B and angle f

Step-by-step explanation:

im not all that smart but goodluck

Ellie fills her car with 14.297 gallons of gas. Alivia fills her car with 14.209 gallons of gas.write an inequality statement comparing the two gas purchase.

Answers

14.297 > 14.209. Hope this helps and if you leave a braniest answer simble that would help lots thank you :)

Answer:

Ellie is gas.

Step-by-step explanation:

Inequality statement: Ellie is not equal to gas, yet she is all about gas.

Hunter leaves his house to go on a bike ride. He starts at a speed of 15 km/hr. Hunter's
brother decides to join Hunter and leaves the house 30 minutes after him at a speed of
18 km/hr. How long will it take to Hunter's brother to catch up to him?

Answers

30 minutes = 0.5 hour

15x = 18(x - 0.5)
15x = 18x - 9
-3x = -9
x = 3 hours

Check:
Hunter = 15(3) = 45 miles
Brother = 18(2.5) = 45 miles

The time requires to catch up to him will be 3 hours.

What is speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is a scalar quantity it does not require any direction only needs magnitude to represent.

Given that Hunter leaves his house to go on a bike ride. He starts at a speed of 15 km/hr. Hunter's brother decides to join Hunter and leaves the house 30 minutes after him at a speed of 18 km/hr.

The time will be calculated as below:-

30 minutes = 0.5 hour

15x = 18(x - 0.5)

15x = 18x - 9

-3x = -9

x = 3 hours

Therefore, the time requires to catch up to him will be 3 hours.

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What is the equation of the line that is parallel to the line defined by the equation y = 3x−7 and goes through the point (4, 2)?

Answers

Answer:

\(y-2=3(x-4)\)

Step-by-step explanation:

Pre-Solving

We are given a line contains the point (4, 2).

We also know that the line is parallel to y= 3x - 7.

We want to write the equation of this line.

Parallel lines have the same slopes.

First, let's find the slope of y = 3x - 7.

3 is in the place of where m (the slope) is, so that means it is the slope of that line.

It is also the slope of the line whose equation we want to write.

The equation of the line can be written in three ways:

Slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. a and b cannot be 0, and a is usually non-negative as well. Point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point.

All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.

Solving

Substitute 3 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=3(x-x_1)\)

Now, substitute 4 as \(x_1\) and 2 as \(y_1\).

\(y-2=3(x-4)\)

Topic: parallel and perpendicular lines

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The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. (1 point)


Function 1
(look at the graph below)


Function 2

f(x) = −x2 + 2x − 15


Function 1 has the larger maximum at (4, 1).

Function 1 has the larger maximum at (1, 4).

Function 2 has the larger maximum at (−14, 1).

Function 2 has the larger maximum at (1, −14).

The following graph describes function 1, and the equation below it describes function 2. Determine which

Answers

A function that has a greater maximum include the following: A. Function 1 has a larger maximum at (4, 1).

How to determine the function that has a larger maximum?

In order to determine the maximum value of function 2, we would have to take the first derivative with respect to x and then, substitute this x-value into the original function while equating it to zero (0), and then evaluate as follows;

f(x) = −x² + 2x - 15

f(x) = −2x + 2

0 = −2x + 2

2x = 2

x = 2/2

x = 1

For the maximum value of function 2, we have:

f(1) = −(1)² + 2(1) - 15

f(1) = -14

For the maximum value of function 1, we can logically deduce that it is equal to 1 based on the graph in image attached above.

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Test: Chapter 1-4 Test
Is 9 a solution to the equation x+2=x+2?
Yes
No

Answers

Answer:

Yes..............

....

.

The ferry family rented 50 chairs for $150. Which expression can be used to find the cost per chairs.

Answers

Answer:

3$per chair

Step-by-step explanation:

50/150$=3

If 3 x 50=150

Answer:

150/50

Step-by-step explanation:

150 divided by 50 = 3

Hope this helps!

3) BRAINLIEST & 10+ POINTS!

3) BRAINLIEST &amp; 10+ POINTS!

Answers

Answer:

44rad/sec

Step-by-step explanation:

1rev= 2pie

22 rev= 44pie

I NEED HELP PLEASEEE!!!! I HAVE BEEN WORKING ALL DAY

I NEED HELP PLEASEEE!!!! I HAVE BEEN WORKING ALL DAY

Answers

Answer:

188

Step-by-step explanation:

I found and fixed my mistake sorry

I NEED HELP PLEASEEE!!!! I HAVE BEEN WORKING ALL DAY

fraction bears the same ratio to 1/27 as 3/7 does to 5/9.then the fraction is?

Answers

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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Help please with Spanish What is the slope of the line that passes through the points (3,3) and (-4, -12)? y = f(x) = 5xfind f(x) when x = 3 For the year ended December 31, 2023, Charley Company had gross profit of $1,267,500, cost of goods sold of $959,000, interest expense of $43,500, operating expenses of $249,000, and income tax expense of $407,500. What was Charley's operating income? A catterplot i ued to diplay data where x i the amount of time, in minute, one member can tolerate the heat in a auna, and y i the temperature, in degree Fahrenheit, of the auna. Which interpretation decribe a line of bet fit of y = 1. 5x 173 for the data? A person cannot drink too much water; the kidneys and sweat glands make water excretion quick and efficient, protecting the body from overhydration. 101. A propeller is accelerated from rest to an angular velocity of 1000 rev/min over a period of 6.0 seconds by a constant torque of 2.0103Nm . (a) What is the moment of inertia of the propeller? (b) What power is being provided to the propeller 3.0 s after it starts rotating? 3. Why is it important to pay attention to the cultural and historical context while discussing social problems? If 0. 36 g of nacl is dissolved in water and the resulting solution weighs 12. 80 g, what is the mass % of nacl in the solution? make certain your answer has the correct number of significant figures. 8 of 408 of 40 Items06:41QuestionThe literacy rate in Kenya is 85% of the total population, compared to a literacy rate of 61% in Sudan.Which of these offers the BEST explanation for the difference in literacy rates between the two nations?ResponsesA Kenya spends more of its budget on education that Sudan does.Kenya spends more of its budget on education that Sudan does.B Kenya is able to recruit better teachers than other areas of Africa.Kenya is able to recruit better teachers than other areas of Africa.C Sudan was involved in civil war for parts of two decades.Sudan was involved in civil war for parts of two decades.D In Sudan, students are required to pay tuition to attend school.In Sudan, students are required to pay tuition to attend school.E Sudan is located in the middle of the Sahara Desert while Kenya is on the Mediterranean Sea. the current in a 25 mh inductor is given by the expressions: i(t) = 0 t < 0 i(t) = 10 (1 e-t) ma t > 0 Which statement best describes the U.S. government's system of separation of powers? What are the 7 expressions? dan has a much higher elasticity of demand for fish than most other people. compared to most other people, the incidence of a tax on fish for dan will be A. Assign roles and design an organizational structure for your project group. B. Based on what you've leared in this lesson, describe the type of culture you want to create in your group. Think about business standards, such as effectiveness, accountability, and teamwork, and how your group can work towards these standards as you complete this project. C. Briefly describe the goal and plan for your project. Create a checklist of criteria for measuring success to help you meet your goal and complete your plan. Once you have completed your project, answer the following questions: d. Evaluate the effectiveness of the organizational structure you created with your group. Did the structure allow you to operate effectively as a team? e. Were you able to create and maintain the culture you envisioned for your group? f. Were you able to achieve the goal of your project? In terms of the GII, most African countries haveA) rates far below the United States and Western Europe.B) rates that exceed the United States and Western Europeowing to African investment in centers of higher learning.C) rates that are greater than the United States but less thanEurope.D) core-periphery models.E) weak national economies. A bex contains 5 plain pencis and 5 pens. A second box contains 5 color pencils and 3 crayons. One item from each box is chosen at random. What is theprobability that a pen from the first box and a crayon from the second box are selected?write your answer as a fraction in simplest form Suppose you flip 20 fair coins: a) How many possible outcomes (microstates) are there? b) What is the probability of getting the sequence: HTHHTTTHTHHHTHHHHTHT (in exactly that order)? c) What is probability of getting 12 heads and 8 tails (in any order)? The figure is made up of 2 cones and a cylinder. The cones and cylinder have a 4 cm diameter.What is the exact volume of this figure?5 pie cm312 pie cm320 pie cm336 pie cm3 find the surface area of the trianglar prism