Select all that apply.
Describe the transformations.

(Look at image!)

The yellow circle was translated left 2 units and up 2 units.
The yellow circle was reflected over both axes.
The yellow circle was reflected over the y-axis and translated up 2 units.
The yellow circle was reflected over the x-axis and translated left 2 units.​

Select All That Apply.Describe The Transformations.(Look At Image!)The Yellow Circle Was Translated Left

Answers

Answer 1

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

Two circles (yellow and blue) with their centers as (1, -1) and (-1, 1) have been given in picture.

Now we will check each option for the transformations of these points.

Option (1)

The yellow circle was translated left by 2 units and up by 2 units.

Then rule for translation will be,

(x, y) → [(x - 2), (y + 2)]

Following this rule (1, -1) will become,

(1, -1) → [(1 - 2), (-1 + 2)]

        → (-1, 1)

But the center of blue circle after translation is (-1, 1),

Therefore, this option will be the answer.

Option (2)

The yellow circle was reflected over both axis.

If (1, -1) is reflected over x-axis,

Rule to be followed,

(x, y) → (x, -y)

Followed by reflection over the y-axis,

rule for the reflection,

(a, b) → (-a, b)

By this rule, (x, -y) will become,

(x, -y) → (-x, -y)

By these transformations (1, -1) will become

(1, -1) → ( -1, 1)

By these transformations image of yellow circle is the blue circle.

Option (2) is the answer.

Option (3)

The yellow circle was reflected over the y-axis and translated up by 2 units.

Rule for reflection over y-axis,

(x, y) → (-x, y)

followed by the translation 2 units up,

(-x, y) → (-x, y+2)

By these transformations,

(1, -1) → (-1, 1)

Therefore, option (3) is the correct option.

Option (4)

The yellow circle was reflected over the x-axis and translated left 2 units

Rule for reflection over x-axis,

(x, y) → (x, -y)

Followed up by the translation of 2 units left.

(x, -y) → (x - 2, -y)

By this rule point (1, -1) will become,

(1, -1) → [(1 - 2), -(-1)]

        → (-1, 1)

Which is the center of blue of circle.

Therefore, Option (4) will be the answer.

All given options are correct.

Answer 2

Answer:

All of the above

Step-by-step explanation:

I know my math straight and I have this answer


Related Questions

A survey of students' pets were taken. If [tex]\frac{1}{4}[/tex] of the students had a dog only, 20% had a cat only, 15% had multiple pets, and 0.08 had pets other than cats or dogs. What fraction of the students did not have a pet? PLS SHOW WORK!

Answers

Answer:

32% of the students did not have a pet.

Step-by-step explanation:

From the total students (100%):

1/4 of them had a dog only, [tex]\frac{1}{4}=0.25=25\%[/tex]. Then, 25% had a dog only.20% only had a cat.15% had multiple pets.0.08=8% only had other than cats or dogs.Adding up all these cases, we obtain the proportion of students that had at least one pet: [tex]25\%+20\%+15\%+8\%=68\%[/tex]. Then, 68% of the students did have a pet.The rest of the students [tex]100\%-68\%=32\%[/tex], did not have any pet.

Given that the triangles shown below are similar, what is the value of X?

Answers

Answer:

24

Step-by-step explanation:

Each side from triangle AHM to triangle DPL is divided by 2

32/2 = 16

40/2 = 20

Therefore, 48 / 2 = 24

Answer:

x = 24 (Answer B)

Step-by-step explanation:

Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.

Thus the length of x is half of the corresponding side in the larger triangle, that is:  x = half of 48, or x = 24 (Answer B)

Determine the magnitude of the difference of the following vectors: 7-7
ū=77 - 127
v=-21 +7
12.08
a.
C.
14.21
b. 13.83
d.
15.81

Answers

Hi there! Let’s see if I can help you <3

The Answer is: 15.81!

Here’s the step by step explication:

First we must find the difference of U and V: (7i-12j)-(-2i+j)

Distributed all out will equal: 9i-13j

We can then go ahead and use Pythagorean therm to find the magnitude: V = Square root of (9)^2 + (-13)^2

This equals Square root of 250!

Depending on the form your teacher wants to answer in it would finally be 5 square roots of 10 or in decimal form; approximately 15.8114!

HOPE IT HELPED YOUUU <3

HELP ME PLEASE 10 POINTS ON IT PLEASE HELP ASAP WITH EXPLANATION PLEASE​

Answers

a) 382 mm

b) 505 mm

c) 3162 mm

d) 3103 mm

e) 5008400 mm

f) 9046850 mm

basically, there are 10mm in a cm, so you times by ten,

1000mm in a m so multiply by 1000

1000000mm in a km

describe the rule of continuing this sequence 44, 41, 38, 35, 32

Answers

Answer:

aₙ= 47 -3n

Step-by-step explanation:

44, 41, 38, 35, 32

This is AP with 1st term of 44 and common difference of -3

nth term of this AP:

aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3naₙ= 47 -3n

The Quadratic Formula x =
-btvb2 - 4ac
2a
was used to solve the equation 2x + 10x - 6 = 0. Fill in the missing denominator of the solution.
-5+ 37

Answers

Answer:

2

Step-by-step explanation:

I think the answer is 2, because 2a=4, but when simplified, you can divide both the numerator and denominator by 2, making the denominator 4/2= 2.

The missing denominator of the solution is 2.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

2x² + 10x -6 = 0

Now, using Discriminant Method

x = [ -b ± √ (b² -4ac)] / 2a

Here, a= 2, b= 10 and c=-6

So, x = [ -10 ± √(10² - 4(2)(-6)] / 2(2)

x = [ -10 ± √ 100 + 48]/ 4

x = (-10 ± 2√37)/ 4

x = (-5 ± √37)/2

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ5

What is EF? Please help me on this question.

Answers

Answer:

EF = 8

Step-by-step explanation:

FD is an angle bisector and divides the opposite side of the angle into segments that are proportional to the other 2 sides, that is

[tex]\frac{DE}{DG}[/tex] = [tex]\frac{EF}{FG}[/tex] , substitute values

[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )

54x = 24(x + 10) ← distribute

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Thus EF = x = 8

Can someone help me solve one of these?

Answers

Answer:

  see below

Step-by-step explanation:

When the letters are replaced and mixed between draws, the draws are independent. In that case, the probability of a sequence is the product of the probabilities of the individual letters in the sequence.

The individual probabilities are ...

  D  -  1/4

  E  -  2/4

  R  -  1/4

__

So, the probability for a sequence like DD is ...

  p(D)·p(D) = (1/4)(1/4) = 1/16

Of course, to convert to a percentage, multiply by 100%:

  1/16 × 100% = 6.25%

The attachment shows the rest of them.


SOLVE and CHECK the following word problem. (6 marks)
The length of a rectangle is 3 m greater than the width. The perimeter is 38 m. What
are the dimensions of the rectangle?​

Answers

Answer:

x = 8

Step-by-step explanation:

Let us take the breadth as 'x'

breadth = x

length = 3 + x

perimeter = 38m

perimeter of a rectangle = 2 ( l + b )

= 2( x + x + 3 ) = 38

4x + 6 = 38

4x = 38-6

x = 32/4

x = 8

breadth = 8

length = 11

Suppose A and B are 2 x 5 matrices. Which of the following are the dimensions of the matrix A + B? 2 x 5 10 x 10 7 x 7 7 x 1

Answers

Answer:

2 x 5

Step-by-step explanation:

When we add matrices, the dimensions of the matrices being added must be the same

A and B are 2 x 5 matrices so they are both 2 x 5 matrices

The output or the sum is also a 2 x 5 matrix

A washer and a dryer cost $708 combined. The washer costs $58 more than the dryer. What is the cost of the dryer?

Answers

Answer:

$325

Step-by-step explanation:

Let x be the price of the washer.

Let y be the price of the dryer.

x + y = 708

x = y + 58

Put x as y+58 in the first equation and solve for y.

y + 58 + y = 708

2y + 58 = 708

2y = 650

y = 650/2

y = 325

Put y as 325 in the second equation and solve for x.

x = 325 + 58

x = 383

The cost of the washer is $383.

The cost of the dryer is $325.

Answer:

Step-by-step explanation:

Cost of dryer = $ d

Cost of washer = d + 58

Total cost = $ 708

d + (d + 58) = 708

2d + 58 = 708

         2d = 708 - 58

         2d = 650

           d = 650/2

      d = 325

Cost of washer = 325 + 58 = $ 383

Cost of dryer = $ 325

What additional information is needed to prove PMO is congruent to PNO by the HL Theorem?

Answers

Answer:

none

Step-by-step explanation:

so we have one of the legs

we have hypotenuse

because:

MP=PN for legs

and they have hypotenuse in common:

OP=OP

Complete the square to rewrite y= x2 - 6x + 2 in vertex form. Then state
whether the vertex is a maximum or a minimum and give its coordinates.

Answers

Answer:

see explanation

Step-by-step explanation:

Given

y = x² - 6x + 2

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

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 2

  = (x - 3)² - 7 ← in vertex form

with vertex = (3, - 7 ) and a = 1

Since a > 0 then vertex is a minimum

Answer:

The vertex is a minimum.

I think it's 65° is it correct??​

Answers

Answer:

129

Step-by-step explanation:

DCF = DCE + ECF

      = 75+ 54

      = 129

Answer:

m∠DCF = 129°

Step-by-step explanation:

∠DCF is ∠DCE + ∠ECF

You are adding the 2 smaller angles together to get the larger angle.

Consider the function ƒ(x) = 5(x + 2)2 – 3. Which of the following functions shifts the graph of ƒ(x) upward by 4 units?
Question 17 options:

A)

ƒ(x) = 5(x + 6)2 – 3

B)

ƒ(x) = 5(x + 2)2 + 1

C)

ƒ(x) = 5(x + 2)2 – 7

D)

ƒ(x) = 5(x – 2)2 – 3

Answers

Answer:

The correct answer is letter B.

Step-by-step explanation:

In order to shift any function f(x) in the vertical direction we need to add or subtract the constant number we want to move. In this case we want to shift the function up by 4 units, therefore we need to add 4. The new function, g(x), is shown below.

[tex]f(x) = 5*(x + 2)^2 - 3[/tex]

[tex]g(x) = f(x) + 4\\g(x) = 5*(x+2)^2 - 3 + 4\\g(x) = 5*(x + 2)^2 + 1[/tex]

The correct answer is letter B.

Answer:

D

Step-by-step explanation:

ƒ(x) = 5(x – 2)^2 – 3

Algebra 1 help please

Answers

3x-9≤12

3x≤21

x≤7

-5x+10≤20

-5x≤10

x≥-2

Answer:

X = 4

Step-by-step explanation:

First, You need to rewrite the expression to look like this

9 - 3x = 12

An inequality basically means equals and the next step is to subtract 9 from both sides so it would look like this

3x = 12

Then divide both sides by 3 to get

x = 4

Juan is going to take a flight from Orlando, Florida, to Los Angeles, California.
The flight leaves Orlando at 9:15 a.m. Orlando time and arrives in Los Angeles
at 1:20 p.m.Los Angeles time. If Orlando is in the eastern time zone and Los
Angeles is in the Pacific time zone, how long is the flight? Use the following to
help you answer the question 12:00 p.m. eastern time = 11:00 a.m. central
time = 10:00 a.m. mountain time = 9:00 a.m. Pacific time.
A. 7 h 05 min
B. 5 h 15 min
C. 3 h 15 min
D. 4 h 15 min

Answers

Answer:

The correct option is A:

A) Time of flight = 7 hours 5 minutes

Step-by-step explanation:

If

For eastern time zone, t = 12:00 pm

Then, pacific time zone , t =  9:00 am

Which means the pacific time lags 3 hours to eastern time

Time of departure = 9:15 am (eastern time)

TIme of arrival = 1:20 pm (pacific time)

Either convert both of them into eastarn time zone or pacific time zone to find the time of the flight. The answer for both will be the same.

Converting both in pacific time zone.

Time of arrival = 1:20 pm (pacific time)

Time of departure = (9:15 am (eastern time) - 3 hours) (pacific time)

Time of departure =  6:15am (pacific time)

Time of flight = Time of arrival - Time of departure

Time of flight = 1:20pm - 6:15am

Time of flight = 7 hours 5 minutes

A crew of highway workers paved 15 mile in 18 hour. If they work at the same rate, how much will they pave in one hour?

Answers

Answer:

5/6 miles

Step-by-step explanation:

If they can pave 15 miles in 18 hours, they will pave and 18 of the miles in an 18 of the time, as 1/18 is an eighteenth. This means they will pave 15/18 miles, which simplifies to 5/6 miles.

PLEASE HELP! The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity that do not include the mean as a max or min? For example, is an interval we could estimate? However, it includes the mean as the maximum of the interval. Another example is as an example of a probability interval that we know from this activity, but it includes the mean as the minimum.

Answers

Answer:

P(X≤57) = 84%

P(X≥57) = 16%

P(47≤X≤57) = 68%

P(X≤47) = 16%

P(X≥47) = 84%

Step-by-step explanation:

We know P(X≤52) = 50%, but this includes the mean as a maximum.

We know P(52≤X≤57) = 34%, but this includes the mean as a minimum.

But if we combine them, we get P(X≤57) = 84%.

We could also say P(X≥57) = 16%.

Since normal distributions are symmetrical, we can also show that P(47≤X≤52) = 34%.  So P(47≤X≤57) = 68%, P(X≤47) = 16%, and P(X≥47) = 84%.

What is the area of the parallelogram

Answers

Answer:

A = 300 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 20 *15

A = 300 cm^2

Which point is an x intercept of the quadratic function f(x)=(x+6)(x-3)

Answers

Answer:

(-6, 0) and (3, 0).

Step-by-step explanation:

There are actually 2 x-intercepts. You will get the x-intercept when f(x) = 0.

f(x) will equal 0 when either (x + 6) = 0 or (x - 3) = 0.

x + 6 = 0

x = -6

x - 3 = 0

x = 3

So, your two x-intercepts will be at (-6, 0) and (3, 0).

Hope this helps!

A portion of the Quadratic Formula proof is shown. Fill in the missing reason. Statements Reasons ax2 + bx + c = 0 Given ax2 + bx = −c Subtract c from both sides of the equation x squared plus b over a times x equals negative c over a Divide both sides of the equation by a x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus the quantity b over 2 times a squared Complete the square and add the quantity b over 2 times a squared to both sides x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus b squared over 4 times a squared Square the quantity b over 2 times a on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a end quantity squared equals negative 4 times a times c over 4 times a squared plus b squared over 4 times a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation quantity x plus b over 2 times a end quantity squared equals b squared minus 4 times a times c all over 4 times a squared ? Rewrite the perfect square trinomial as a binomial squared on the left side of the equation Take the square root of both sides of the equation Multiply both sides of the equation by 2 Square the left side of the equation

Answers

Answer:

Find a common denominator on the right side of the equation

Step-by-step explanation:

I was taking the test and couldn't find the answer to this question anywhere so let me help you out...  

abidemiokin provided a wonderful step-by-step explanation for solving the formula, but left out the actual answer for the question which is what I'm here for. I read through abidemiokin's explanation and reviewed my options before choosing the best answer. As you see in step 5 of my edited version of abidemiokin's explanation the missing step is there. In the provided question we see steps 1,2, 3, and 4 being identical to those in the explanation below. From this, it is clear the next step (step 5) would be the next step, and as it is one of the options we can trust that it is correct.

(If you still have doubts then trust the fact that I took the test and the answer I provided above was indeed correct.)

Given the quadratic equation ax²+bx+c = 0, to derive the quadratic formula from the equation, the following steps must be followed;

ax²+bx+c = 0

Step 1: Subtract c from both sides

ax²+bx+c-c = 0-c

ax²+bx = -c

Step 2: Divide both sides of the equation by a

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides

x² + bx/a +  (b/2a)² = -c/a +  (b/2a)²

Step 4: Square the quantity  b/2a on the right side of the equation

x² + bx/a +  (b/2a)² =  -c/a +  b²/4a²

Step 5: Find a common denominator on the right side of the equation which is 4a²

x² + bx/a +  (b/2a)² =  -4ac/4a² +  b²/4a²

Step 6: Add the fractions together on the right side of the equation

x² + bx/a +  (b/2a)² =  (-4ac+  b²)/4a²

Note: The fraction at the right-hand side of the equation is to be added together not multiplied as shown in the question.

Step 7: The equation on the left is to be written as a perfect square as shown

(x+b/2a)² =  (-4ac+  b²)/4a²

Step 8: Take the square root of both sides

√(x+b/2a)² = √ (-4ac+  b²)/4a²

(x+b/2a) =  √(-4ac+  b²)/2a

Step 9: subtract b/2a from both sides

x+b/2a - b/2a =  -b/2a + √(-4ac+  b²)/2a

x =  -b/2a + √(-4ac+  b²)/2a

Step 10: Add the fractions together on the right-hand side

x =  -b±√(-4ac+  b²)/2a

This gives the required equation

Answer: A  Find a common denominator on the right side of the equation

Step-by-step explanation: Took the test of FLVS

e of the space shuttle’s external tanks can carry up to 200,000 gallons of fuel. It used 170,000 liters of fuel this tank to leave the atmosphere. What percentage of the fuel capacity does the shuttle still have?

Answers

Answer:

15%

Step-by-step explanation:

200,000-170,000=30,000

30,000/200,000=0.15, or 15%

Drag steps in the given order to evaluate this expression. −3(−3+2)−6

Answers

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]-3(-3 + 2) - 6[/tex]

Required

Drag the steps

Note that not all steps in the given diagram will be used;

Step 1: Perform Multiplication; 9 + -6 - 6

Step 2: Simplify: -3

Further Explanation:

Step 1 is gotten by opening the bracket;

[tex]-3(-3 + 2) - 6[/tex]

[tex]9 +-6 - 6[/tex]

Step 2 is gotten by solving step 1 further

[tex]9 +-6 - 6[/tex]

[tex]9 - 6 - 6[/tex]

[tex]9 - 12[/tex]

[tex]-3[/tex]

Find the area under the standard normal curve to the left of z = 1.5

Answers

Answer:

0.9332

Step-by-step explanation:

Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

-----------------------------------------

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, which also represents the area under the normal curve to the left of Z.

Looking at the standard normal table:

z = 1.5 has a p-value of 0.9332.

Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

A similar problem is given at https://brainly.com/question/6316394

Calculate the original price of these items before the
percentage changes shown. Show all of your working.

a) A coat that costs £46.50
after a 7% price reduction

b) A jumper that costs £32.80 after a price increase of
6%

Answers

Answer:

50 and 30.94

Step-by-step explanation:

a

The coat cost 46.5 pounds after a 7 percent reduction

so we can write:

46.5⇒ (100-7)⇒ 93 percent x(the initial price) ⇒ 100 percent

using the proprtionality relation:

x= (100*46.5)/93 = 50

so the initial price of the coat is 50 pounds

b

The jumper costs 32.8 pounds after an increase of 6 percent

so:

32.8⇒(100+6)⇒ 106 percent x (the initial price)⇒ 100 percent

using proportionality:

x= (100*32.8)/106 = 30.94

the initial price is 30.94 pounds

Answer:

a. £50

b. £30.94

Step-by-step explanation:

100-7=93

x×93/100=46.50

x×93=46.50×100=4650

x=4650/93=50 £

b.

100+6=106

y×106/100=32.80

y×100=32.80×100=3280

y=3280/106≈30.94£

Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue, as shown. What is the area of the blue flap of the envelope? 14 Inches squared 18 Inches squared 45 Inches squared 90 Inches squared

Answers

Answer:

The correct option is:

14 inches

Step-by-step explanation:

The question is incomplete because the picture of the flap is not shown in the question nor the measurements are given. First lets complete the question. The figure was this question is attached below.

We can see that the bottom width of the trapezoid is 9 inches, the top width of the trapezoid is 5 inches, and it has a height of 2 inches.

The area of trapezoid is given as:

Area = ((Top width + Bottom width)/2) · h

Area = ((9+5)/2) · 2

Area = (14/2) · 2

Area = 7 · 2

Area = 14 inch²

Answer:

14

Step-by-step explanation:

What is the solution set of 2 x(x-1) =3?​

Answers

Answer: x=3

Step-by-step explanation:

Find the 7th term in the
sequence
-5, -1, -5, -25,...
Hint: Write a formula to help you.
1st term · Common Ratio(desired term – 1)
Enter

Answers

Answer:

Step-by-step explanation:

Given sequence is -5, -1, -5, -25,..

In any arithmetic series  nth term is given by  a + (n-1)d

where a is the first term

and d is the common difference.

 d = nth term - (n-1)th term

For the given  series

a = -5

lets take nth term as 2nd term and 1st term as (n-1)th term

d = -1-(-5)= -1+5 = 84

n th term = a + (n-1)d

using the formula for nth term

4th term = 5 + (4-1)8 = 29

GIVING BRAINLIEST what is 97 - 56 + 12

Answers

Answer:

53

Step-by-step explanation:

When subtracting 97-56=41+12=53. The answer is 53. Consider using a calculator or mental math next time rather than asking it as a question.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

53

Step-by-step explanation:

97-56=41

41+12=53

Other Questions
kepentingan Lenggong, Perak, Malaysia terhadap Zaman Prasejarah di Asia Tenggara. In a nuclear physics experiment, a proton (mass 1.6710^(27)kg, charge +e=+1.6010^(19)C) is fired directly at a target nucleus of unknown charge. (You can treat both objects as point charges, and assume that the nucleus remains at rest.) When it is far from its target, the proton has speed 2.5010^6 m/s. The proton comes momentarily to rest at a distance 5.3110^(13)m from the center of the target nucleus, then flies back in the direction from which it came. What is the number of the protons the nucleus has? Assume no electron cloud is there, 0=8.85x10^(-12) C^2/(Nm^2) In response to the economic crisis in 2008, President Merkel "highlighted in her speech what the German government has already done: a financial sector rescue package worth up to 500 billion, and a proposed stimulus package of tax breaks [on income] and spending measures aimed at triggering investments of up to 50 billion over the next two years." Which parts of the stimulus plan will increase labor supply? You have a subordinate who performs best when he does things because he agrees with your ideas. What type of power should you use to motivate him Henry Co. assigned $400,000 of accounts receivable to Easy Finance Co. as security for a loan of $335,000. Easy charged a 2% commission on the amount of the loan; the interest rate on the note was 10%. During the first month, Henry collected $110,000 on assigned accounts after deducting $380 of discounts. Henry accepted returns worth $1,350 and wrote off assigned accounts totaling $2,980. Reference: Ref 7-2 The amount of cash Henry received from Easy at the time of the transfer was help please Simplify (4^1/5)^5 South Company sells a single product for $20 per unit. If variable expenses are 60% of sales and fixed expenses total $9,600, the break-even point will be Can someone help me out please :) Students in a class sit two major exams.75% of students pass the maths exam.80% of those who passthe maths examalso pass the science exam. 40% of thosewho fail the maths exam pass the scienceexam. Find the probability that a studentchosen at random:(b) fails both exams.% which statement best explains the relationship between points A and B? Which of the following led to the development of Christianity in the Byzantine Empire? The apostle Paul spread Christianity throughout the empire. The power of the Christianized Roman Empire declined. The Romans abandoned a long history of Christian persecution. Christianity spread throughout the empire after Constantine's conversion. PLZ HELPPPPPPPPP DUE NOWLook at the pictures, read the sentences and match each sentence with its correct image. Look at the images, read the sentences, and match each sentence with its correct image. Image 01, Father carrying his son on his back Image 02, Woman with two sons Image 03, Mother and young daughters in traditional Indian dresses Image 04, Twins about 12 years old A) Eduardo's father is Mr. Alfonso. B) The brothers are twelve years old. C) Teresa has two young children. D) Shalma and Thelma are Louise's daughters and they are smart. If an ocean wave takes 2 minutes to generate one full cycle, from crest to crest, then we will call this the frequency of the wave. What would its period be The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 14 and 15 minutes? Give your answer accurate to two decimal places. Read this excerpt from Narrative of the Life of Frederick Douglass:I was probably between seven or eight years old when I leftColonel Lloyd's plantation. I left it with joy. I shall neverforget the ecstasy with which I received the intelligencethat my old master (Anthony) had determined to let me goto Baltimore, to live with Mr. Hugh Auld, brother to my oldmaster's son-in-law, Captain Thomas Auld. I received thisinformation about three days before my departure. Theywere three of the happiest days I ever enjoyed. I spent themost part of all these three days in the creek, washing offthe plantation scruff, and preparing myself for mydepartureWhich best explains how Douglass uses objectivity to convey his perspectivein this passage?O A. He avoids sentimentality by choosing not to linger on his feelingsabout leaving the plantationB. He incorporates the names of influential people who can verify hisstoryO c. He uses formal word choice, like "departure,' to establish hiscredibilityO D. He creates pathos by explaining how happy he is to leave ColonelLloyd's plantation How does the nervous system work with the circulatory system A survey of 132 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 66 of the 132 students responded "yes.". An approximate 98% confidence interval is (0.399, 0.601). How would the confidence interval change if the confidence level had been 90% instead of 98% According to the graph, what is the solution to this system of equations?(2,3)(3, 2)(-1, 4)(4, -1) 1.What is Historiography ? In the equation, C = 8n + 25, C represents amount of money raised and n represents the number of pledges. How many pledges are needed to raise $850? 9/7 times (-9/5) please help