What is an equation of the line that passes through the points (5,−2) and (2,−5)? Put your answer in fully reduced form. Write in y=mx+b Form.

Answers

Answer 1

Answer:

Your Answer

m=1

y=(0,-7)

Step-by-step explanation:

Answer 2
I got y=x+7

And it’s fully reduced

Hope it helped

Related Questions

Find the area
of the figure.

Answers

Answer:

first the triangle

t area=b x h ÷2

=(5ft x 10.5ft)÷2

=26.25ft sq unit

second the rectangle

r area=L × b

=9ft × 7.5ft

=67.5ft sq unit

last the triangle

t area= b×h÷2

=(9ft×4.5ft)÷2

=20.25ft sq unit

Total area= 26.25ft+65.5ft+20.25ft =112ft sq unit

Answer:

110.25 ft^2

Step-by-step explanation:

We can find the area of the figure by adding up the areas of three different shapes.

1) The right triangle

The formula for finding the area of a right triangle is: Base x Height x 1/2

The base in the right triable is 5 and the height is 9.

--> 5 x 9 x 1/2

--> 45/2

--> 22.5

2) The rectangle

The formula for finding the area of a rectangle is: Base x Height

The base is 7.5 and the height is 9.

--> 7.5 x 9

--> 67.5

3) The Isosceles Triangle (On the very right)

The formula for finding the area of a right triangle is: Base x Height x 1/2

The base of the triangle is 9, and the height is 4.5.

--> 9 x 4.5 x 1/2

--> 40.5/2

--> 20.25

Now that we know the areas of separate shapes, all we need to do is add them up!

22.5 + 67.5 + 20.25

= 110.25.

The area of the figure is 110.25 ft^2

PLEASE HELP ME ASAP!!!!!!

Answers

Answer:

Triangles are congruent due to SAS

Angles are congruent due to CPCTC

Step-by-step explanation:

In order to prove the congruency of the angles, we have to prove the congruency of the triangles.

ME=MR is given so that is a side

They share angle M so that is an angle

And, MA=MN which is given so that is a side.

The two triangles are congruent due to SAS postulate

So the angles are equal due to CPCTC

Angles E and R are congruent as they are the corresponding parts of two congruent triangle.

Given is a figure which shows two connected triangles ΔEMA and ΔRMN,

We need to prove ∠E ≅ ∠R.

Considering the triangles,

ME = MR [given]

MA = MN [given]

∠M is common angle in both triangles,

So, ΔEMA ≅ ΔRMN by SAS postulate.

So, ∠E ≅ ∠R by CPCTC.

Hence proved.

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3 friends shared 48 pineapples equally among themselves. One of the friends sold all his pineapple each at $5 how much did he get from selling the pineapples?

Answers

Answer: $80

Step-by-step explanation:

Step 1: Find how much each person got

48 pineapples shared amongst 3 people

48÷3= 16 pineapples each

Step 2: Find how much he earned

16 pineapples for $5 each

Total money made: 16x5= 80

$80 in all selling his share of the pineapples

hope this helps!!

The total amount of money the friend made from selling his pineapples is $80

How much did he get from selling the pineapples?

Total pineapples = 48

Total friends = 3

Number of pineapples each friend takes = Total pineapples / Total friends

= 48/3

= 16 pineapples per friend

Cost of each pineapple = $5

Total amount the friend made from selling his pineapples = Cost of each pineapple × Number of pineapples each friend takes

= $5 × 16

=$80

Hence, the friend made $80 from selling his pineapples.

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hello can someone help me with this

Answers

Answer:

I am going to answer the ones you haven't answered yet...

Bullet point 2: The Y-intercept is where the graph crosses the y-axis in this case that would be y=0 or (0,0)

Bullet Point 5: the question basically says that for the values of x when they are between 0 and 6 the y values are ___. the answer for this one would be y ≥ 0.

hi how are u doing today

help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:  60 local calls- SEE THE SCREENSHOTS FOR A DETAILED STEP BY STEP RESPONSE :)

also daM, that's a lot of calls

Step-by-step explanation:

Answer: 60 local calls bcz you remove the other 2 charges then divide by .25

Step-by-step explanation:

The equation 4x2 + 8x + 15 = 0 is being rewritten in vertex form.


Fill in the missing step.



Given 4x2 + 8x + 15 = 0

Step 1 4(x2 + 2x ___) + 15 ___ = 0

Step 2 blank

Step 3 4(x + 1)2 + 11 = 0

A:4(x2 + 2x + 1) + 15 − 4 = 0

B: 4(x2 + 2x + 1) + 15 − 1 = 0

c: 4(x2 + 2x + 2) + 15 − 2 = 0

D: 4(x2 + 2x + 4) + 15 − 4 = 0

Answers

D: 4(x2 + 2x + 4) + 15 − 4 = 0
The answer would be D:4(x2+2x+4)+15-4=0

Plotting Equivalent Ratios
Mr. Hendricks is plotting equivalent ratios on a coordinate plane. One of the ordered pairs is (3, 5). Which other ordered pair could he plot?

Answers

Mr. Hendricks is plotting equivalent ratios
on a coordinate plane. One of the ordered
pairs is (3,5) Which other ordered pair
could he plot? O (4, 6) O (6,4) 0 (6, 10) 0
(10, 6)
You put it on the 3,5 scale hope this help you

John drew a trapezoid ABCD on a coordinate plane. The coordinates are as follows
A(8,4)
B(10,4)
C(13,-1)
D(8,-1)
What is the length of the side AD?

Answers

Answer: 5

Step-by-step explanation:

If the sides of A is (8,4) and the coordinates of D is (8-1), the same value in both coordinates are 8 and the different values are 4 (A) and -1 (D). We will take the absolute values (AV) of both when added: |4 + -1|.

The answer will be 5 grids (or whatever measurements the question uses).

The answer is 5 units because if you have a graph you can count from (8,4) to (8,-1) and it equals 5

A local gym sells monthly memberships. The function f(x) = −x2 + 18x − 72 models the daily profit in dollars, where x is the number of memberships sold.

Determine the zeros, and explain what these values mean in the context of the problem.

x = 9, x = 18; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 9, x = 18; The zeros represent the number of monthly memberships when no profit is made.
x = 6, x = 12; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 6, x = 12; The zeros represent the number of monthly memberships when no profit is made.

Answers

Answer: the zeros are at (6,0) and (12,0) where no profit is made.

option D

Step-by-step explanation: you can find the zeros ( the x-intercepts), by either graphing out the function or factoring it.

in this scenario, there is no y increase, which means 0 profit.

no profit was made the correct answer is D

Evaluate the given algebraic expressions replacing x with -2 and y with 1

[tex]3x^{2}[/tex]

Answers

Answer: -6

Step-by-step explanation: -2^1 = -2

                                              3 x -2 = -6

HELP NEEDED ASAP PLEASE !!!!!!!!!!
Divide 17.9 by 2.38. Round your answer to the nearest tenth.

0.7
7.5
0.8
7.6

Answers

Answer:

7.5

Step-by-step explanation:

You divide 17.9 by 2.38. That would give you 7.521008403361345.


Rounding to the nearest tenth would mean to round till you have a number right after the decimal point. When you round, you would get 7.5 since 2 isn’t enough to change the five to a six.


Hope that helps!! Have an amazing day!!

7.5 :)) if you divide 17.9 by 2.38 you’ll get an answer of 7.521008403361345 (which is very long)
Rounding to the nearest tenth means you need to round until you get a number which is right after the decimal point. The answer would be 7.5 since the 2 isn’t enough to change 5 to 6. Hope this helps and good luck in the future

Is this correct?

A boy earned $50. He saved $42 and used the rest to buy some text books. How much was each text book if he bought 4 texts books

Answers

$50 - $42 = $8
$8 / 4 = 2
The boy bought 4 textbooks costing $2 each!

Hope this helps!

Answer:

each book was 2 dollars

Explanation:

boy earned $50 he saved 42 dollars and used the rest ($8) to buy textbooks and he bought 4 text books that means each textbook is 2 dollars how (8÷4=2) .

hope it helps and Is what ur looking for.

How do you figure out if a shape is similar or not using rectangle diagnols?

Answers

Answer:

How do you figure out if a shape is similar or not using rectangle diagnols?

Assuming that diagnols = diagonal, it is not possible to define a similarity relationship without measuring at least one side.

their sides have to be proportional form equal ratios

Maybe that I'm wrong, Only one way to find out.

There were 35 students in a school. 20 of the students passed a test. The rest were shared equally among 3 teachers for extra classes. How many students did each teacher receive?

Answers

Answer:

5 students

Step-by-step explanation:

35-20=15

15/3=5

Answer:

35 kids 20 students pass the test 35 -20 = 15 divided by 3 =5 students per teacher.

Step-by-step explanation: hope this helps can I be brainlyest. This is a bunny /\__/\

          | *  .  * |

The area of the garden was 2¾yd². If the length is 1 ½ yd, find
the width.

Answers

Answer:

11/6 or 1 5/6yards

Step-by-step explanation:

Area = Length x Width

2 3/4 = 1 1/2 w

11/4 = 3/2w  to change 2 3/4  into an improper fraction see this as 2 wholes plus 3/4.  Another name for 2 wholes is 8/4 then add the 3/4.  8/4 + 3/4 is 11/4.

Do the same for 1 1/2 which is 1 + 1/2 change 1 into 2/2 and add it to 1/2 which would be 3/2.

Now solve for x

(2/3) (11/4) = (3/2) (2/3) w  when I multiply 3/2 by its reciprocal of 2/3, I get the number 1 and 1 times w is just w.

22/12 =w.  I just multiplies the tops with the bottoms.  Now, divide the top and the bottom by 2 and you end up with 11/6.  If I divide 11 by 6, it will go into 11 one time with 5 left over.  The denominator remains 6.

Answer:

Step-by-step explanation:

The area A of a rectangle of length L and width W is A = L*W.  Solving this for W, we get A/L.

Substituting 2 3/4 yd^2 for A and 1 1/2 yd for L, we get:

W = (2 3/4 yd)^2 / (1 1/2 yd)

This is equivalent to (11/4 yd^2 divided by (6/4 yd), or 11/6 yd.

The width of this garden is 11/6 yard, or 1 5/6 yard.

A card is chosen at random from a standard deck.
What is the probability of choosing a red card
that is not a queen?

(A) 1/13
(B) 3/26
(C) 6/13
(D) 51/52

Answers

Answer:

6/13

Step-by-step explanation:

There are 52 cards in a deck, and 26 of them are red. There are 2 red queens in a deck, so the probability of choosing a red card that is not a queen is 24/52 = 6/13.

C) 6/13 is the answer

PLEASE HURRY IM TIMED, The perimeter of a rectangular swimming pool is 70 yards. Its length is 25 yards. Which of the following can be used to find the width?
A.
width = (70 yd + 50 yd) ÷ 4
B.
width = (70 yd − 50 yd) ÷ 4
C.
width = (70 yd − 50 yd) ÷ 2
D.
width = (70 yd + 50 yd) ÷ 2

Answers

I thik the option C should be used.

Answer:

C

Step-by-step explanation:

There are 2 sides for length- 25+25=50

70-50=20. Divide that by 2 sides, 10 yards for width

What’s the measure of x?

( It’s on khan academy ) thanks :)

50 points!!! and will give brainlyiest

Answers

Answer:

[tex]\huge\boxed{\sf x =28 \textdegree}[/tex]

Step-by-step explanation:

Given that,

∠IAK = 62°

∠IAK + ∠IAD = 90° (Complementary angles)

62 + ∠IAD = 90°

Subtract 62 to both sides

∠IAD = 90 - 62

∠IAD = 28°

∠IAD = ∠ACB (Corresponding angles are equal)

So,

∠ACB = 28°

∠ACB = ∠GCJ (Vertically opposite angles are equal)

So,

28° = x°

OR

x° = 28°

[tex]\rule[225]{225}{2}[/tex]

Answer:

28 degrees

Step-by-step explanation:

If two lines cross each other, it makes 4 angles, and 2 angles from opposite sides have the same length. Since line KL and line IJ crossed, angle KAI and angle LAJ will have the same angle.

--> Angle LAJ is 62 degrees

If we look closely, there is a triangle ABC, and since the question said that line KL and line FG is perpendicular, the angle ALG will be 90 degrees.

We know that in a triangle, there are three angles, and the angle measures combined equals 180.

Since we know two angles: 90 and 62, we take them away from 180 to find the last angle BCA.

--> 180 - 90 - 62 = 28

--> Angle BCA = 28 degrees

Like I said at the beginning, if two lines cross each other, opposite angles are the same size. So angle x will also be equal to angle BCA, which is 28 degrees.

Angle x = 28 degrees

PLSSS HELP IM STILL BEING TIMEDD

Answers

The measure of angle 5 is 68°. Why? Well, see below for an explanation!

The measure of angle 5 is 68° because this problem is under the category of “parallels cut by a transversal.” Under these circumstances, angles 1 and 5 are corresponding to each other. Corresponding angles are congruent, which means that they have the same measurements. This would mean that angles 1 and 5 both equal 68°.

Your final answer: B is your final answer. Since 1 and 5 are corresponding angles, they both equal 68°. If you need help, let me know and I will gladly assist you.

Answer:

68°

Step-by-step explanation:

corresponding angles are the same

What is the relationship between x and y?
Oy and x stay constant
Oy increases as x increases
Oy decreases as x increases
Oy stays constant as x increases

Answers

A is correct because xy is consistna
B increases as c increases, because on the graph you can see this is a positive so every time the x increases the y increases also.

Find the quotient. 5 1/4 - 15

a. 7/20
b. 78 3/4
c. 2 6/7
d. 3 1/4​

Answers

What I find helps me with division is turning fractions into decimals. In this case 5 1/4 becomes 5.25 and 5.25/15 is .35 (equivalent to 7/20) Answer A: 7/20
The answer should be C- 2 6/7

I believe the question you are asking is what 5 1/4 (otherwise known as 5.25) divided into 15 is.

Simply put, your question is 15 divided by 5.25 (or 5 1/4)

To solve this we can make the fraction 5 1/4 into an improper fraction. This makes the fraction to consist of a numerator and a denominator and no whole numbers. Converting 5 wholes into fourths would mean 5 times 4 which is 20. Therefore 5 converted into 1/4 ‘s is 20 1/4’s. This combined with the other 1/4 in the fraction 5 1/4 makes the improper fraction 21/4.

When you divide fractions you switch the numerator and denominator of the fraction on one side (usually the right side although it doesn’t matter as long as you only switch one fraction of the two) and multiply. 15 times now 4/21 is 60/21.

To simplify this you can divide the numerator and denominator by a common factor. We can start with 3, simplifying the fraction to 20/7. Now as you may notice in the answer choices they are all mixed numbers, consisting of a whole number as well as the numerator and denominator. 20/7 as a mixed number is 2 6/7 as you can have 2 times 7 (14) and then have 6 left so you have 2 wholes and 6/7 away from another whole. This makes C the answer

HELP PLEASE!!!!!!!!!!!!!!!!!!!! I NEED IT ASAP!!!!!!!!!

Answers

i hope this helpssss
The answer is

x = 25

the point of M ( a, 4 ) is the midpoint of the line segment with endpoint at A(1,3) and B(5,b). Find the value of a and b

Answers

The value of a and b from the coordinates are 3 and 5 respectively

Midpoint of coordinates

The formula for finding the midpoint of two coordinates is expressed as;

M(x, y) = {x1+x2/2, y1+y1/2}

Given the following coordinates

M(a, 4)

A(1,3)

B(5,b)

Using the formula

a = 1+5/2

a = 6/2

a = 3

Similarly

4 = 3+b/2

8 = 3+b

b = 8-3

b = 5

Hence the value of a and b from the coordinates are 3 and 5 respectively

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The values are A = 3 and B = 5

PLEASE HELP QUICK!
A pencil cup is shaped like a right rectangular prism. It has a base area of 9 square inches and a height of 312 inches.

What is the volume of the pencil cup?


1212 in³

1534 in³

2114 in³

3112 in³

Answers

Answer:

i got 2808 in3 which wasn't on the list and i was extremely confused, i redid the problem multiple times and got the same answer, i used a calculator AND searched of the web, it still gave me the same answer, if those are the only options something might be wrong, the answer should be 2808 in3.

2808.3 inches
(Used the volume formula)

John has decided to prepare an old field for his son's new horse. the length of the field is 10 meters less than 4 times its width. He will spend $1,584 on fencing for the field at a cost of $4.80 per meter. He also needs to buy sweetgrass seed to plant in the field. The seed costs $3.98 per bag and each bag covers 460 square meters. If John has $1,600, is this enough money to purchase the fence and all the seeds needed to plant in this field?

Answers

Answer: The total money invested in the field will be $1,623.80

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

p=2(x+y)

p(4.80)=1,584

p=330m

we know that

The perimeter of the field is equal to

so

330=2(x+y)----> equation A

x=4y-10 ------> equation B

substitute equation B in equation A and solve for y

330=2(4y-10+y)

165=(5y-10)

5y=165+10

y+35

Find the value of x

x=4(35)-10+130

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

A=xy

substitute

A=(130)(35)=4,550m2

step 3

Find the number of bags of seed

Divide the area by 460

4,550/460=9.89 bags

Round up to the nearest whole number

9.89 bags=10 bags

step 4

Find the cost of the seed

(10 )(3.98)=$19.8

step 5

Find the total money invested in the field

1,584+$39.8=$1,623.80

Answer:

Step-by-step explanation:

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

p=2(x+y)

p(4.80)=1,584

p=330m

we know that

The perimeter of the field is equal to

so

330=2(x+y)----> equation A

x=4y-10 ------> equation B

substitute equation B in equation A and solve for y

330=2(4y-10+y)

165=(5y-10)

5y=165+10

y+35

Find the value of x

x=4(35)-10+130

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

A=xy

substitute

A=(130)(35)=4,550m2

step 3

Find the number of bags of seed

Divide the area by 460

4,550/460=9.89 bags

Round up to the nearest whole number

9.89 bags=10 bags

step 4

Find the cost of the seed

(10 )(3.98)=$19.8

step 5

Find the total money invested in the field

1,584+$39.8=$1,623.80

Copy the problems onto your paper, mark the givens and prove the statements asked.
CN=WN, ∠C≅∠W
Prove RN=ON

Answers

The statements and reasons for the proof are:

CN ≅ WN [given]∠C ≅ ∠W [given]m∠CNR ≅ ∠WNO [vertical angles theorem]ΔCNR ≅ ΔWNO [ASA theorem]RN = ON [CPCTC]

What is the CPCTC and ASA Congruence Theorem?

When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.

The statement for the proof along with the reasons in bracket are:

CN ≅ WN [given]∠C ≅ ∠W [given]m∠CNR ≅ ∠WNO [vertical angles theorem]ΔCNR ≅ ΔWNO [ASA theorem]RN = ON [CPCTC]

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They have articles explaining this but I would probably confuse you but good luck

In a regular 52 deck of cards, what is the probability of picking a random spade, a 4 of any suit and then a random diamond with replacement?

Answers

[tex]sample \: space = 52 \: cards \\ spades = 13 \: cards \\ number \: 4s = 4 \: cards \\ diamonds = 13 \: cards \\ note \: that = \\ there \: is \: replacement \\ order \: does \: matter[/tex]

[tex]P( \gamma ) = \frac{13}{52} \times \frac{4}{52} \times \frac{13}{52} = \frac{1}{208} [/tex]

The Answer is 1/208

Can someone answer this question pls- 40 points? plus brainliest if you explain.
1. A light bulb is one-hundredth of an inch thick, with an allowable error of 2%. What is the least allowable thickness of the filament?
A. 0.00098
B. 0.0002
C. 0.0098
D.0.0102

Answers

Answer:

Answer:

0.00998 Inches

Step-by-step explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

Therefore, the allowable thickness of the bulb filament

We can then calculate the least allowable thickness of the filament as:

The least allowable thickness of the filament is 0.00998 Inches.

Answer:

C. 0.0098

Explanation:

one-hundredth of an inch: 1/100 ≈ 0.01 (inch)

Upper-bound (maximum error):

= 0.01 × (100% + 2%)

= 0.01 × 102%

= 0.0102 inches

Lower-bound (minimum error):

= 0.01 × (100% - 2%)

= 0.01 × 98%

= 0.0098 inches

Hence, the greatest allowable thickness of filament is 0.0102 inches and mostly the least allowable thickness is 0.0098 inches, which is the answer.

It is 10:30pm and my brain is not cooperating with me.

Answers

Answer:

[tex]v = 180 {cm}^{3} [/tex]

Step-by-step explanation:

V= lwh or l *w*h

Length: 15

Width: 3

Height:4

V=15*3*4

V=180

Step-by-step explanation:

so, you can't do any basic calculations anymore ? turned into a true couch potato/vegetable ?

the volume of a block is

length × width × height.

similar to the 2 dimensional problem of the area of a rectangle : length × width.

now we have one more dimension. that's all.

V = 15 × 4 × 3 = 180 cm³

Evelyn bought needles, balls of yarn, stitch holders, and patterns for her knitting kit. she bought 3 times as any stitch holders as patterns. 7 less needles than stitch holder, and 2 balls of yarn. She paid $5.25 for each pattern, $0.50 for each stitch holder, $3.25 for each needle, and $7.50 for each ball of yarn. How many of each did Evelyn purchase if she paid $58.25

Answers

She needs 345- (7) 5.25) 2(0.25

Answer:
answer is going to be

4 patterns

5 needles

2 balls of yarn

and 12 stitch holders

hope this helped u bro

Other Questions
5.3.1 [10] calculate the total number of bits required to implement a 32 kib cache with two-word blocks. Using data from the 2007 Major League Baseball season (World Series champions: Boston Red Sox). Sammy Stat estimated the following simple regression (or Y^) equation: Expected Team Wins (in number of games) = Wins = 70.097 + 0.132Team Salary (in $millions) Interpret the value of the estimated slope coefficient for Team Salary. Is the baseline value (or intercept) meaningful? Explain briefly. If team A spent $10,000,000 more on salaries than team B, how many more games would you expect team A to have won than team B? If a team spent SI 10,000,000 on salaries and won half (or 81) of its 162 games, did the team get its money's worth?" Explain briefly. Consider a continuous-time system whose input x(t) and output y(t) are related by dy(t) + ay(t)= x(t) dt where a is a constant. By using the unilateral Laplace transform, (a) find y(t) with the auxiliary condition y(0) = yo and x(t) = Ke-bt u(t) (b) express y(t) in terms of the zero-input and zero-state responses. The brick wall exerts a uniform distributed load of 1.20 kip/ft on the beam. if the allowable bending stress isand the allowable shear stress is. Select the lighest wide-flange section with the shortest depth from Appendix B that will safely support of the load. You are riding in a spaceship that has no windows, radios, or othermeans for you to observe or measure what is outside. You wish todetermine if the ship is stopped or moving at constant velocity.What should you do?A.) You can determine if the ship is moving by determine theapparent velocity of light (I think it might be this one but I'mnot sure and don't have proper reasoning.)B.) you can determi if the ship is moving by checking you precisiontime piece. If it's running slow, the ship is moving.C.) you can determine if the ship is moving either by determiningthe apparent velocity of light or by checking your precision timepiece. If it's running slow, the ship is moving.D.) You should give up because you taken on an impossible task (this made me laugh) A rectangle has an area of 368. 4 in2, and its height is 15 in. Find the base of the rectangle. A/24. 56 inB/25. 64 inC/26. 45 inD/ 24. 56 cm Lindsay, a member, is an audit manager for Ngo & White, CPA's. The firm has been engaged to audit the financial statements of Castle International for the year ended December 31, 20X4 and Lindsay is a key member of the engagement team. Fara, the CEO of Castle International, has been pursuing Lindsay for the past six months to convince her to become the CFO of Castle International. Up until now, Lindsay has maintained that she wants to stay with Ngo & White, CPA's. However, Lindsay has decided to pursue Fara's offer to become the CFO of Castle International. At the time that Lindsay decided to pursue the offer from Castle International, she was in the middle of the Castle International audit engagement. Which of the following statements is correct regarding Ngo & White, CPA's independence with respect to Castle International as a result of Lindsay's pursuit of the CFO position?a) Since Lindsay has not received a specific offer of employment from Castle International, the firm's independence is not impaired and she may continue on the audit engagement team.b) If Lindsay promptly reports such consideration of employment to an appropriate person in the firm, she may continue on the audit engagement team and the firm's independence is not impaired.c) To maintain independence, Lindsay must promptly report her consideration of employment to an appropriate person in the firm and remove herself from the engagement until employment is no longer being soughtd) None of the above are correct statements. 1. Taylor Series methods (of order greater than one) for ordinary differential equations require that: a. the solution is oscillatory c. each segment is a polynomial of degree three or lessd. the second derivative i b. the higher derivatives be available is oscillatory 2. An autonomous ordinary differential equation is one in which the derivative depends aan neither t nor x g only on t ?. on both t and x d. only onx . A nonlinear two-point boundary value problem has: a. a nonlinear differential equation C. both a) and b) b. a nonlinear boundary condition d. any one of the preceding (a, b, or c) you borrow $820 from your brother and agree to pay back $920 in 15 months. what simple interest rate will you pay identify the specific circumstances under which auditors are allowed to provide confidential client information to third parties. 5. The lens equation is =()=DsDls^() between higher redshift galaxies in the background and a lower redshift cluster in the foreground. The cluster lies at zl=0.451, corresponding to an angular diameter distance of Dl=1.23Gpc ). The distribution of the redshifts of its member galaxies has a variance around the mean redshift (i.e. around zl=0.451 ) which corresponds to a velocity dispersion of nearly =1600 km/s. There are a few arcs visible in the figure, and the table shows the redshifts associated with the sources of some of these arcs. If these arcs are portions of an Einstein ring, it is interesting to estimate the radius of each ring. I did this by drawing circles on the image to estimate the angular radis of each arc, and obtained the values in the table (the bar in the bottom right of the figure shows 5; this helps set the scale). What are the corresponding values of Ds and Dls ? Remember that these are angular diameter distances, so Dls=DsDl. Rather, (1+zs)Dls=(1+zs)Ds(1+zl)Dl. Assuming these arcs are portions of an Einstein ring, estimate how the enclosed mass M( 7x-6y=-9Y=-9_,_Please help me if you do help me can you please explain step-by-step on how you got the answerPlease help me please help In 2016, the city of Canfield collected $500,000 in taxes and spent $450,000. In 2016, the city of Canfield had aA.budget deficit of $50,000.B.budget surplus of $5,000.C.budget surplus of $50,000.D.budget surplus of $450,000. which measure focuses on demand and market conditions in an industry? a. the c4 ratio b. the dansby-willig index c. the rothschild index d. the herfindahl-hirschman index You purchase one ONB 200 call option for a premium of $6. Ignoring transaction costs, the break-even price of the position is A) $206. B) $194. C) $211. D) $228. 10.62 using the aluminum alloy 2014-t6, determine the largest allowable length of the aluminum bar ab for a centric load p of magnitude (a) 150 kn, (b) 90 kn, (c) 25 kn. Develop a relative macro to turn the fill color of a range of cells red. VBA and share screenshot please and the code Which design value below is typically the lowest for wood members? a. Shear parallel to grain b. Compression perpendicular to the grain c. Compression parallel to the grain d. Tension parallel to the grain Write me a system of equations (must have 2 equations) that have a solution of (-2,4) write down two hadamard codes of length 8.