Estefani‘s house is at point E (3,-2) and Jasmin’s house is at point J (-5,3). Jasmin’s house is the Mid-point of Estefani’s house and Preston’s house. Give the y-coordinate of Preston’s house.

Answers

Answer 1

The formula for midpoint is

([tex]\frac{x_{1}+x_{2}}{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex])

Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.

In this case:

[tex]x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown[/tex]

^^^Plug in these number into the formula given above...

([tex]\frac{3+x}{2}[/tex], [tex]\frac{-2 + y}{2}[/tex])

To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation ([tex]\frac{3+x}{2}[/tex]) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:

[tex]\frac{3+x}{2}[/tex] = -5

3 + x = -5 * 2

3 + x = -10

x = -10 - 3

x = -13

To find what y is (a coordinate of Preston's house) you must take the  y-value part of the midpoint equation([tex]\frac{-2 + y}{2}[/tex]) and set it equal to the y-value of the midpoint (3). Then you must solve for y:

[tex]\frac{-2 + y}{2}[/tex] = 3

-2 + y = 3 * 2

-2 + y = 6

y = 6 + 2

y = 8

The coordinate of Preston's house is:

(-13, 8)

Hope this helped!

~Just a girl in love with Shawn Mendes

 Estefanis House Is At Point E (3,-2) And Jasmins House Is At Point J (-5,3). Jasmins House Is The Mid-point

Related Questions

Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle A is (4 p + 12) degrees and angle C is 36 degrees. What is the value of p? 6 7 8 9

Answers

Answer:

The value of p is 6

Step-by-step explanation:

we know that

In a parallelogram opposite angles are congruent

so

In the parallelogram ABCD

m∠A=m∠C ----> equation A

m∠B=m∠D ----> equation B

we have

m∠A=(4p+12)°

m∠C=36°

substitute the given values in equation A and solve for p

[tex](4p+12)\°=36\°[/tex]

[tex]4p=36-12[/tex]

[tex]4p=24[/tex]

[tex]p=6[/tex]

Answer:

6

Step-by-step explanation:

Order these numbers from least to greatest -1.264, -5/4,-1.015,-0.480,-14/25,-13/8

Answers

-13/8
-1.264
-5/4
-1.015
-14/25
-0.480

Your mother gave you $13.32 with which to buy a present. This covered 3/5 of the cost. How much did the present cost

Answers

Answer:

$22.20

Step-by-step explanation:

We are told that $13.32 only covered 3/5 of the cost. Does this mean it covered the whole cost? No. The 5 in the denominator represents the whole cost, and the 3 represents the fraction of the cost. In this case, 13.32 represents the 3, as it did not cover the whole cost.

Let's set up our equation by making 13.32 into a fraction.

13.32/x

We will represent the present's actual cost with the letter x.

13.32/x = 3/5

We want to make sure the 13.32 is in the numerator, equal to the 3 in the numerator in the 3/5 number, because we know that $13.32 only covered for a fraction of the present's cost, not the whole cost.

We solve this by doing cross multiplication. Multiply the 13.32 by the 5.

13.32 x 5 = 66.6

Next we divide 66.6 by 3 to get 22.2

66.6/3 = 22.2

This gives us our final answer of $22.20. This means that the cost of the original present was $22.20

Final answer:

The question involves setting up a proportion to find the total cost of the present. This was done step-by-step by dividing $13.32 by 3 to find 1/5 of the cost, and then multiplying by 5 to find the full cost. The present cost approximately $22.20

Explanation:

The subject of your question is mathematics, particularly a topic in proportion. The information given is that $13.32 represents 3/5 of the cost of the present. We could set up a proportion to help calculate the full cost. If 3/5 is equal to $13.32, then 1 (or 5/5) would be equal to the full price of the present. We can solve for the full price by dividing $13.32 by 3 and then multiplying by 5 (since 5/5 represents the whole or full cost).

Step-by-step:

Divide $13.32 by 3. This gives you approximately $4.44, which represents the cost for 1/5 of the present. Multiply $4.44 by 5. This will give you the full cost of the present which is approximately $22.20.

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Simplify the expression (6^2)^4

Answers

Answer:

  6^8 = 1,679,616

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

__

Applied to this problem, the rule tells you ...

  (6^2)^4 = 6^(2·4) = 6^8 = 1,679,616

__

Or, you can evaluate the expression according to the Order of Operations:

  (6^2)^4 = 36^4 = 1,679,616

Answer:

6^8 = 1,679,616

Step-by-step explanation:

i looked it up and i did it on my own

Determine the area of each face of a cube 306.6

Answers

Answer: 51.1 units squared

Step-by-step explanation: the area of each face is 306.6 so then you would divided that by 6 since there are 6 sides in a cube so you get 51.1 and if multiplied by 6 it equals 306.6

The area of each face of a cube 306.6 is 51.1 square units.

What is a cube?

A solid three-dimensional shape called a cube contains six square faces, eight vertices, and twelve edges.

A cube has 6 faces.

So the area of each face is (side x side).

So total area is equal to 6 times the area of each side.

Area = 6 x (side x side)

Now, substitute in your numbers and solve for the side length

306.6 = 6 (side)²

so first divide both sides by 6,

we get,

(side)² = 51.1

Therefore, the area of each face is 51.1 square units.

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For } (x) = 3x + 1 and g(x) = 72-6, find (f + g)(x).

Answers

the  answer is f (-3x - 22) = -6x - 33

Which of the following statements uses the commutative property of addition?
2 + (3 + 4) = (2 + 3) + 4
2 + (3 + 4) = (2+ 3) + (2 + 4)
2 + (3 + 4) = 2 + (4 + 3)

Answers

The statement 2 + (3 + 4) = 2 + (4 + 3) is the one that uses the commutative property of addition, which states that changing the order of numbers being added does not affect the sum. So correct answer is first option.

The statement that uses the commutative property of addition is 2 + (3 + 4) = 2 + (4 + 3). The commutative property of addition states that the order in which two numbers are added does not change the sum.

This is represented by the equation A+B=B+A. In our specific example, changing the order of 3 and 4 does not affect the sum when added to 2.

This demonstrates the commutative property in a clear manner.

vertices que tiene el prisma hexagonal

Answers

Answer:

12

Step-by-step explanation:

in geometry, the hexagonal prism is a prism with hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices. Since it has 8 faces, it is an octahedron. However, the term octahedron is primarily used to refer to the regular octahedron, which has eight triangular faces.

(se poquito de espanol, lo lamento)

Mary invested 5,000 into a bank account that was earning 2.5 percent interest compound monthly what would her exact account balance be after 3 years?

Answers

Answer:

$12,162.68

Step-by-step explanation:

It's compounded monthly.  3 years is 36 months.

A = P (1 + r)^n

A = 5000 (1 + 0.025)^36

A ≈ 12162.68

Rounded to the nearest cent, her exact account balance would be $12,162.68.

Tonka weighs 150 lb. He is loading a freight elevator with identical 67-pound boxes. The elevator can carry no more than 2000 lb. If Tonka rides up with the boxes, how many boxes can be loaded on the elevator?

Answers

Final answer:

Tonka can load a maximum of 29 boxes on the elevator.

Explanation:

To calculate the number of boxes Tonka can load on the elevator, we need to divide the maximum weight capacity of the elevator by the weight of each box. The weight capacity of the elevator is 2000 lb, and each box weighs 67 lb. Therefore, the number of boxes Tonka can load is found by dividing 2000 lb by 67 lb:

Number of boxes = 2000 lb ÷ 67 lb = 29.85

Since we can't have a fraction of a box, Tonka can load a maximum of 29 boxes on the elevator.

Karel wants to buy a points card for his x-box
live account. He can buy a 200 point card
for $10.00 for a 300 point card to $15
W hich card is a better value?

Answers

Answer:

Both cards are the same value.

Step-by-step explanation:

$10 for 200 points = $5 for 100 points

$15 for $300 points = $5 for $100 points

Both cards are the same value.

Solve the system of equations
6x+7y = 5 2x-3y =7

Answers

Answer:

The solution is (2 , -1)

Step-by-step explanation:

* You have two ways to solve the system of equations

1. Elimination method:

By making the coefficients of one of the two variables equal in the 2

equations in magnitude and different in sign to eliminate it and find the

other variable

2. Substitution method:

By finding one of the two variables in terms of the other in one of the

two equations and substitute this value in the second equation

* Lets solve our system using the elimination method

∵ 6x + 7y = 5 ⇒ (1)

∵ 2x - 3y = 7 ⇒ (2)

- Multiply equation (2) by -3 to eliminate x

∵ (-3)(2x) - (-3)(3y) = (-3)(7)

∴ -6x + 9y = -21 ⇒ (3)

- Add equation (1) and (3)

∴ 7y + 9y = 5 + -21

∴ 16y = -16

- Divide each side by 16

y = -1

- Substitute the value of y in equation (1)

∴ 6x + 7(-1) = 5

∴ 6x - 7 = 5

- Add 7 to both sides

∴ 6x = 12

- Divide both sides by 6

x = 2

* The solution is (2 , -1)

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each situation to its corresponding expression.

Answers

Answer:

150(0.4),2,500(0.11)

Step-by-step explanation:The first question says 150 participants and 40%of the participants are eliminated. so it's 150(0.4)n

same goes for the second 2,500 bacteria in a colony the colony grows at a rate of 11% every hour so the answer to the question is 2,500(0.11)n

Final answer:

The student is tasked to match situations with their corresponding mathematical expressions, identifying key mathematical operations and formulating accurate representation for these operations

Explanation:

The question is asking you to match given situations with their corresponding mathematical expressions. An example might be the situation 'Tom has twice as many apples as Tim' being matched to the expression '2T', where 'T' denotes the number of apples Tim has. To solve this, read each situation carefully and identify the key mathematical operations (addition, subtraction, multiplication, division) or relationships (equal to, greater than, less than) embedded within them. Then, formulate a mathematical expression that accurately represents these operations or relationships.

For example, if the situation is 'Sally has five more books than John,' the corresponding mathematical expression might be 'J+5' with 'J' representing the number of books John has.

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what is the distributive property of 5x23

Answers

Answer:

see explanation

Step-by-step explanation:

We can express 5 × 23 as

5(20 + 3) ← distribute terms in parenthesis by 5

= 5 × 20 + 5 × 3

= 100 + 15

= 115

By distributive property , the number 5 x 23 = 115

What is Distributive Property?

The distributive property states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend individually by the number and adding the products together.

For a product of two numbers , a and d , d = b + c

By distributive property ,

a x ( b + c ) = a x b + a x c

Given data ,

Let the number be 5 x 23

Now , the number 23 can be split into ( 20 + 3 )

By opening the parentheses ,

5 x ( 20 + 3 )

The number 5 is first multiplied by 20 and then multiplied by 3 , and the sum of both the products will be taken

So ,

5 x 23 = 5 ( 20 + 3 )

5 x 23 = 5 ( 20 ) + 5 ( 3 )

5 x 23 = 100 + 15

5 x 23 = 115

Hence , by distributive property the product 5 x 23 is 115

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elena went bowling. elena's score in the first game was 127 she scored 16 more points in the second game than in the first game. wwhat was her total score?​

Answers

Answer:

133

Step-by-step explanation:

127 + 16 = 133

Madden and Jenn both worked at the coffee shop today. Madden's total cups of coffee made is represented by f(x); and Jenn's total cups of coffee made is represented by g(x). Use the functions below to write a function that represents the total cups of coffee they made today.
f(x) = 7x − 4
g(x) = 5x + 1
A. 9x + 5
B.9x − 3
C.12x + 5
D.12x − 3

Answers

Answer:

The answer is D. 12x - 3.

Step-by-step explanation:

To add these functions, we just add the terms.

f(x) + g(x) = (7x - 4) + (5x + 1)

7x - 4 + 5x + 1 | Simplify

7x + 5x - 3

12x - 3.

Answer:

Option D. (12x - 3)

Step-by-step explanation:

Madden's total cups of coffee made is represented by the function f(x).

f(x) = 7x - 4

Jenn's total cups of coffee made is represented by the function g(x).

g(x) = 5x + 1

Now we have to write a function that represents the total cup of coffee that represents they made.

That will be represented by f(x) + g(x) = (7x - 4) + (5x + 1)

f(x) + g(x) = 12x - 3

Therefore, option D. will be the answer.

40% of what number is 52?
A. 130
B. 200
C. 242
D. 1300

Answers

Answer:

130

Step-by-step explanation:

40 percent of what number is 52?

let this number be x

so, the equation is

40/100 x X= 52

divide 40/100 from both sides

X=52÷40/100

When you divide by a fraction, you multiply by its reciprocal

X=52 x 100/40

X=5200/40

X=130

40 percent of 130 is 52.

The value of the unknown number is 130.

Option A.

What is the value of the unknown number?

Given the parameter:

"40% of what number is 52"

Let's represent the unknown number as "x."

To determine the number for which 40% is equal to 52, we can set up an equation and solve for the unknown number.

Hence:

40% of the number = 52

40% of x = 52

40% × x = 52

Convert the percentage to a decimal.

40% = 40/100 = 0.40

Now, rewrite the equation as:

0.40 × x = 52

0.4x = 52

To solve for the value of "x," divide both sides of the equation by 0.40:

x = 52/0.4

x = 130.

Therefore, 40 percent of 130 is 52.

Option A) 130 is the correct answer.

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What is the slope of x=18?

Answers

Answer:

Ø

Step-by-step explanation:

Anything that is set to equal x is what is known as an undefined rate of change [slope] because it is a vertical line.

I am joyous to assist you anytime.

Find the of x in each triangle.

Answers

I pretty sure you either add or subtract to get the answer

First, it is important to know that there are 180 degrees in a triangle. The equation for this is 90+3x=180, since the small square means 90 degrees. From there on, you should be able to figure it out yourself.

Jackie brought 3/4 of a gallon of iced tea to the party. Bill brought 7/8 of a gallon of iced tea to the same party. How much iced tea did Jackie and Bill bring to the party?

Answers

Answer:

[tex]\frac{13}{8}=1\frac{5}{8}[/tex] gallons

Step-by-step explanation:

We have been given that Jackie brought 3/4 of a gallon of iced tea to the party. Bill brought 7/8 of a gallon of iced tea to the same party.

To find the total amount of iced tea, we will add both quantities as:

[tex]\text{Amount of ice tea brought to party by Jackie and Bill}=\frac{3}{4}+\frac{7}{8}[/tex]

Make a common denominator:

[tex]\text{Amount of ice tea brought to party by Jackie and Bill}=\frac{3*2}{4*2}+\frac{7}{8}[/tex]

[tex]\text{Amount of ice tea brought to party by Jackie and Bill}=\frac{6}{8}+\frac{7}{8}[/tex]

Add numerators:

[tex]\text{Amount of ice tea brought to party by Jackie and Bill}=\frac{6+7}{8}[/tex]

[tex]\text{Amount of ice tea brought to party by Jackie and Bill}=\frac{13}{8}[/tex]

[tex]\text{Amount of ice tea brought to party by Jackie and Bill}=1\frac{5}{8}[/tex]

Therefore, Jackie and Bill brought [tex]\frac{13}{8}=1\frac{5}{8}[/tex] gallons of ice tea to the party.

Which of the following are valid names for the triangle below? check all that apply

Answers

Answer:

E and F

Step-by-step explanation:

They are the only ones which use the appropriate triangle angles and points.

Have a nice day!!!!!!!! :-)

KA

E. ΔDMR & F. ΔMRD are valid names of the triangle.

Which are the valid names of the triangle ?

We know that, a triangle has 3 vertices.

Name of a triangle is always with the name of the vertices together in a clock or anticlockwise manner.

Example : If vertices of a triangle are A, B & C, then name of the triangle are like ΔABC, ΔBCA, ΔCAB, ΔBAC, ΔACB, ΔCBA.

Here, in the given diagram, vertices of the triangle are D, M, R

So, the names ΔDMR & ΔMRD are correct in all the options, others are not names of vertices, so they are not taken.

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If s(x) = 2 - x and f(x) = 3x, which value is equivalent to (s f) (-7)

Answers

The equivalent value for (s \\circ f) (-7), given s(x) = 2 - x and f(x) = 3x, is 23.

The question asks which value is equivalent to (s \\circ f) (-7), where s(x) = 2 - x and f(x) = 3x.

To solve for (s \\circ f) (-7), we first need to find f(-7). Since f(x) = 3x, we substitute x with -7:
f(-7) = 3(-7) = -21.
Next, we calculate s(f(-7)), which means we substitute x in s(x) with the value of f(-7):
s(-21) = 2 - (-21) = 2 + 21 = 23.

Therefore, the equivalent value  is 23.

Andy and Sylvie each incorrectly simplified the expression -3 - 4(2x - 3). Andy wrote -14x + 21 and Sylvie wrote -8 - 6. Explain their errors and give the correct answer.

Answers

Answer:

Given the expression -3 - 4(2x- 3) the correct solution is -8x + 9.

Step-by-step explanation:

Andy wrote -14x + 21, so his error was to do de substraction (-3 -4) and then distribute -7(2x-3) = -14x+ 21.

Sylvie wrote -8x -6. Her error was to multiplied -4 only for 2x,

then -3 - 4(2x -3) = -3 -8x -3 = -8x -6.

Final answer:

Andy incorrectly distributed the negative sign and Sylvie made an error in simplifying the expression. The correct answer is -8x + 9.

Explanation:

Andy's error: He incorrectly distributed the negative sign to both terms inside the parentheses. When distributing a negative sign to each term, the sign of each term should change. So, -4(2x - 3) becomes -8x + 12. However, Andy erroneously distributed the negative sign to only the first term, resulting in -14x + 21.

Sylvie's error: She incorrectly simplified the expression -8 - 6, which is equal to -14. However, this is not the correct result for the entire expression -3 - 4(2x - 3).

The correct answer is obtained by applying the distributive property and combining like terms. First, simplify the expression inside the parentheses: -4(2x - 3) = -8x + 12. Then, combine the terms outside the parentheses with the simplified expression: -3 - 8x + 12 = -8x + 9.

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math help pls!! will reward : )

Answers

Good evening ,

______

Answer:

A. x=all real numbers.

D. x = [tex]\frac{2-np}{2}[/tex]

___________________

Step-by-step explanation:

25-5x=5(-x+5)

25-5x=-5x+25

25-5x=25-5x

Then this equation is valid for all real number x

Note : If you replace x by any number you will get 0 = 0 and that always true.

:)

Answer:

a

Step-by-step explanation:

. 50 cm =
0.005 of what​

Answers

Answer:

It would be Meters, .50cm = 0.005 M

hELP ASAP WILL MARK THE BRAINLIEST!
Write the equation of the quadratic function with roots -10 and -8 and a vertex at (-9, -3)

Answers

Answer:

y = 3x² + 54x + 240

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (- 9, - 3), thus

y = a(x + 9)² - 3

To find a substitute either of the roots into the equation

Using (- 8, 0), then

0 = a(- 8 + 9)² - 3

0 = a - 3 ( add 3 to both sides )

a = 3

y = 3(x + 9)² - 3 ← in vertex form

Expand factor and simplify

y = 3(x² + 18x + 81) - 3

  = 3x² + 54x + 243 - 3

  = 3x² + 54x + 240 ← in standard form

Standard form with given slope
Slope= 2/5, (6,7)

Answers

Answer:

Step-by-step explanation:

1 Simplify brackets.

-3,9=-3,9,-3,-5−3,9=−3,9,−3,−5

2 Since -3,9=-3,9,-3,-5−3,9=−3,9,−3,−5 is false, there is no solution.

No Solution

Done

I need help please???

Answers

Answer:

63

Step-by-step explanation:

51 - ( - 12)        (-)(-)=(+)

51  +  12

  63

Answer:

63

Step-by-step explanation:

The question says 51 +12 becase two negatives make a positive.

#1: In Picture!

#2: Explain Aaron's mistake using 1-3 complete sentences.

Please answer both :)

Answers

Answer:

1.45 in/h see below

Step-by-step explanation:

1. The appropriate "dimensional analysis" is ...

[tex]\dfrac{2.9\,ft}{1\,day}\cdot\dfrac{12\,in}{1\,ft}\cdot\dfrac{1\,day}{24\,h}=\dfrac{2.9\cdot 12\cdot 1\,day\cdot ft\cdot in}{1\cdot 1\cdot 24\,day\cdot ft\cdot h}=1.45\dfrac{in}{h}[/tex]

__

2. Aaron used the inverse of the correct days to hours conversion factor. The units he ends up with are in·h/day², not in/h. And the calculation he did does not match the expression he wrote.

Azeneth is putting a fence around her rectangular garden. The width of the garden is 4x + 5 ft. and the
length is 2x^2 – 3x + 7 ft.
How much total fencing does Azeneth need to buy in terms of x?

Answers

Answer:

Azeneth needs to buy 4x² + 2x + 24 feet

Step-by-step explanation:

* Lets explain how to solve the problem

- Azeneth is putting a fence around her rectangular garden

- The width of the garden is 4x + 5 feet

- The  length is 2x² – 3x + 7 feet

- We need to find how much total fencing  Azeneth needs to buy in

  terms of x

∵ The fence will put around the four sides of the rectangular garden

∴ The length of the fence is equal to the perimeter of the garden

- The perimeter of any rectangle = 2l + 2w, where l and w are its

  dimensions

∵ The perimeter of the garden = 2 × its width + 2 × its length

Width = 4x + 5

∴ 2 × width = 2(4x + 5) = 8x + 10

Length = 2x² - 3x + 7

∴ 2 × length = 2(2x² - 3x + 7) = 4x² - 6x + 14

∴ The perimeter of the garden = 8x + 10 + 4x² - 6x + 14

- Add like terms

∴ The perimeter of the garden = 4x² + (8x - 6x) + (10 + 14)

∴ The perimeter of the garden = 4x² + 2x + 24

The length of the fence = the perimeter of the garden

The length of the fence = 4x² + 2x + 24 feet

* Azeneth needs to buy 4x² + 2x + 24 feet

Other Questions
Solve 23(3x+9)=2(2x+6). All the following are characteristics of vitamin D except a. It is activated by the liver and kidney b. it causes the kidney to excrete less calcium in the urine. c. its synthesis is enhanced by use of sunscreen. d. it facilitates calcium absorption from the small intestine u=3a-1 Solve the equation for the indicated variable: a which part of the governmnt, according to the Constitution, is made up of justices who make sure that laws are followed the perimeter of a rectangle if the width is 3 centimeters and the length is 6 centimeters longer than the width. The purpose of the ____ is to define the scope of the CP operations and establish managerial intent with regard to timetables for response to incidents, recovery from disasters, and reestablishment of operations for continuity. A skater is standing still on a frictionless rink. Herfriendthrows a Frisbee straight at her. In which of the followingcases isthe largest momentum transferred to the skater?a) the skater catches the frisbee and hols onto it.b) the sjater catches the frisbee momentarily, but thendropsit vertically downward.c) the skater catches the frisbee, holds it momentarily,andthrows it back to her friend. I need help with question? There is evidence that the rate at which money changed hands rose during the German hyperinflation. This means that a. velocity rose. If monetary neutrality holds the rise in velocity increased the ratio M/P. b. velocity rose. If monetary neutrality holds the rise in velocity decreased the ratio M/P. c. velocity fell. If monetary neutrality holds the fall in velocity increased the ratio M/P. d. velocity fell. If monetary neutrality holds the fall in velocity decreased the ratio M/P. A student is running at her top speed of 5.3 m/s to catch a bus, which is stopped at the bus stop. When the student is still a distance 40.7 m from the bus, it starts to pull away, moving with a constant acceleration of 0.168 m/s^2 . a) For how much time does the student have to run at 5.3 m/s before she overtakes the bus?b) For what distance does the student have to run at 5.3 m/s before she overtakes the bus?c) When she reaches the bus, how fast is the bus traveling?d) If the student's top speed is 2.00 m/s , will she catch the bus?e) What is the minimum speed the student must have to just catch up with the bus?f) For what time does she have to run in that case?g) For what distance does she have to run in that case? The nurse is evaluating the coping skills of a client with a diagnosis of depression. Which statement indicates to the nurse the need to help the client learn and appropriately use these skills? The structures that deflect air as it passes through the nose are called a. choanac. b. paranasal sinuses. c. conchae. d. vibrissae. Differentiate phloem from xylem. What is the polynomial function of least degree whose only zeros are -3, ,-2, and 4 ? A company needs 10,000 units of a component used in producing one of its products. The latest internal accounting reports show that the per unit manufacturing cost to be $150.00, variable manufacturing costs of $110.00 and fixed manufacturing cost of $40. The company recently received an offer from another manufacturer to produce the component for $144.00. If it buys the component on the outside 40% of the fixed manufacturing cost can be avoided. Required: a. If the company buys the component from the outside supplier at $144.00, what is the impact on income? b. What price would make the company indifferent between making the component internally and having the outside supplier make it? A car is moving northeast at a velocity of 10 meters per second. Fourseconds later it's going 30 meters per second. What was the car's averageacceleration during this time?A) 5 m/sB) 5 m/sC) 5 m/s NortheastD) 20 m/s Northeast Rewrite the function f of x equals 4 times one third to the 2 times x power using properties of exponents. f of x equals 4 times one ninth to the x power f of x equals 4 times two sixths to the x power f of x equals 16 times one third to the x power f of x equals 16 times one ninth to the x power As compared to U.S banks, foreign banks are less regulated and have fewer restrictions concerning the types of business activities they can pursue. Therefore, foreign banks often engage in numerous aspects of multilayer financial deals. True or False Which of the following physical quantities is not a vector? A) velocity B) acceleration C) weight D) mass A helicopter blade spins at exactly 110 revolutions per minute. Its tip is 4.50 m from the center of rotation. (a) Calculate the average speed (in m/s) of the blade tip in the helicopter's frame of reference. m/s(b) What is its average velocity (in m/s) over one revolution? m/s