Select all the correct answers. Function g is a transformation of the parent exponential function. Which statements are true about function g? A Linear graph function where red line g intercepts y-axis at (0, 4) and passes through (minus 10, 3) and (3, 10) Function g is positive over the interval . The domain of function g is . Function g has a y-intercept of . Function g decreasing over the interval . Function g is 4 units above function f. The range of function g is .

Answers

Answer 1

The correct statements are:

Function g has a y-intercept of (0,4)

The range of the function g is (3, ∞).

The function g is positive over the interval (-∞ , ∞ ).

The parent function i.e. exponential function is defined by:

y=f(x)=aˣ

From the graph given below,

1. The graph of the function g is 3 units above the graph of the parent exponential function. as the parent exponential function aˣ cuts the y-axis at (0,1) and the child transformed function cut at (0,4) for which g is 4-1=3 units above the parent function  

2. The domain of the function is set of all the inputs for which function is defined. From the graph of function g, it is clear tha the domain of the function is (-∞ , ∞ ) as the domain of the parent exponential function is also (-∞ , ∞ ).

3. The y-intercept is the point at which function cut the y-axis. Graph of function g cut the y-axis at (0, 4). Therefore, Function g has the y-intercept at (0,4).

4. From the graph it is clear that Function g increases over the interval (-∞, 0) .

5. The range of the function is the output values of the function. From the graph, it is observed that the range of function g is (3, ∞). as its minimum value is 3 then the maximum value is ∞.

6. As, the graph of function g is drawn above the x-axis. Therefore, Function g lies completely on +ve y-axis, so function g is positive over the interval (-∞ , ∞ ).

Therefore The correct statements are:

Function g has a y-intercept of (0,4)

The range of the function g is (3, ∞).

The function g is positive over the interval (-∞ , ∞ ).

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Select All The Correct Answers. Function G Is A Transformation Of The Parent Exponential Function. Which

Related Questions

Solve this for me please

Answers

Answer:

30.5

Step-by-step explanation:

here :

n represents the number of trials

p represents the probability of success

 In a binomial distribution, The mean

 is equal to the product of those two values.

In other words,

The mean = n × p

                 = 122 × 0.25

                 = 30.5

from a survey involving 1000 University students market research company found that 780 students on laptops 460 on cars and 380 owned cars and laptops if a university student is selected at random what is each empirical probability. (A) the student owns either a car or laptop. (B) the student owns neither a car nor a laptop is.

Answers

Considering the definition of probability:

the probability that the student owns either a car or laptop is 86%.the probability that the student owns neither a car nor a laptop is 14%.

Definition of Probabitity

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

The probability of any event A is defined as the quotient between the number of favorable cases (that is, the number of times that event A may or may not occur) and the total number of possible cases:

[tex]Probability=\frac{number of favorable cases}{total number of possible cases}[/tex]

Union of events

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

Complementary event

A complementary event, also called an opposite event, is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.

The probability of occurrence of the complementary event A' will be 1 minus the probability of occurrence of A:

P(A´)= 1- P(A)

Events and probability in this case

In first place, let's define the following events:

A: The event that a student owned a laptop.

B: The event that a student owned a car.

Then you know:

P(A)= [tex]\frac{780}{1000}[/tex]= 0.78P(B)= [tex]\frac{460}{1000}[/tex]= 0.46P(F and R)= P(F∩R)= [tex]\frac{380}{1000}[/tex]= 0.38 [The intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.]

In this case, considering the definition of union of events, the probability that the student owns either a car or laptop is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.78 + 0.46 -0.38

P(A∪B)= 0.86= 86%

Then, the probability that the student owns either a car or laptop is 86%.

On the other hand, considering the definition of the complementary event and its probability, the probability that the student owns neither a car nor a laptop is calculated as:

P [(A∪B)']= 1- P(A∪B)

P [(A∪B)']= 1 - 0.86

P [(A∪B)']= 0.14= 14%

Finally, the probability that the student owns neither a car nor a laptop is 14%.

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What is the distance between the given points?

Answers

Answer:

√85 which is approximately 9.2195

Step-by-step explanation:

12. Use the diagram to determine the value of x

Answers

Answer:

127 degrees = x

Step-by-step explanation:

A six sided polygon has interior angles that sum to

(n-2)(180) =  (6-2)(180 = 720

so all of the angles in the question add to 720

 98 + 133 + x + x + 155 + 80 = 720

  solve for x = 127 degrees

Answer:

x = 127

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × 4 = 720°

sum the interior angles and equate to 720

x + x + 155 + 80 + 98 + 133 = 720 , that is

2x + 466 = 720 ( subtract 466 from both sides )

2x = 254 ( divide both sides by 2 )

x = 127

The drink you usually buy is on sale, the price has been reduced by $2 per can, this means you can get 28 cans for the same price that you usually pay for 20 cans, determine the original price

Answers

Answer:

The answer is $2.80.

Step-by-step explanation:

The price was reduced to two dollars and you buy 28 cans for the same price in which you got 20 cans at original price. So you need to take 28 cans times 2, which you will receive 56. Take 56 the price divided by 20 the original price cans and you will receive 2.8 or $2.80. To double check your work, take 2.80 times 20 and see if you get 56. #BallersKnowMath

A woman when working with her takes 2 hours to complete the housework, and takes 3 hours when working alone How long would it take the daughter to complete the housework if working alone?
A) 6 hours
B) 2 hours
C) 4 hours
D) 9 hours
E) 0 hours

Answers

The answer is B A trust

Answer:

6 hours for daughter alone     Answer A

Step-by-step explanation:

Rate of mom to clean one house =  1 house /3 hrs  = 1/3

rate of daughter   = 1/x

Now find the time to clean one house with their combined rates for one house

1 /   (1/3 + 1/x )    = 2 hrs

1/3 + 1/x = 1/ 2

x + 3 = 3/2 x

3 = 1/2 x

x = 6 hrs   daughter alone

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X≥14), n=18, p=0.8

Answers

The probability is 0.2153.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]^{n}C_x* P^{x}* (1-p)^{n-x}[/tex]

n=18, p=0.8

So,

[tex]^{18}C_{14}* 0.8^{14}* (1-0.8)^{18-14}[/tex]

=0.2153

Hence, the probability is 0.2153.

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Mary is going to roll a six-sided die. What is the probability that the die lands on the number 3? Input your answer in fraction form

Answers

Answer:

added in the picture

Step-by-step explanation:

added in the picture

Suppose there is a big drop in interest rates in Mexico and a small drop in U.S. interest rates. Everything else equal, what is likely to happen to value of the MXN?

Answers

The value of MXN will increase.

The official currency of Mexico is The Mexican peso (MXN).

MXN is simply an abbreviation of the currency the Mexican peso, which is the official currency of the country of Mexico.

Similarly, the drop value in currency is defined as the expression that the currency is worth less as compared to all other countries.

When a currency's country interest rate drop, then the value of the currency increase. Here given in the question as there is a big drop in interest rates in Mexico and a small drop in U.S. interest rates, the value of MXN will increase as the drop is more in Mexico which affects its currency MXN.

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For each relation decide whether or not it is a function

Answers

Answer:

Relation 1: FunctionRelation 2: FunctionRelation 3: Not a functionRelation 4: function

Step-by-step explanation:

A function is defined so that for each input, there is no more than one output.

Which products result in a difference of squares? Select three options. a (x minus y)(y minus x) b (6 minus y)(6 minus y) c (3 + x z)(negative 3 + x z) d (y squared minus x y)(y squared + x y) e (64 y squared + x squared)(negative x squared + 64 y squared)

Answers

Answer:

By comparing all the expressions with the formula (a - b)(a + b) = (a² - b²), we find that c, d and e options are correct.

Step-by-step explanation:

Concept: The condition is that, the product should result in a difference of squares. In mathematics, we have such a formula which is (a - b)(a + b) = (a² - b²). So, we need to compare all the options with this relation.

(x - y)(y - x) = -(x² - 2xy + y²)

(6 - y)(6 - y) = 36 - 12y + y²

(3 + xz)(-3 + xz) = (xz + 3)(xz - 3) = x²z² - 9 . This expression is correct

(y² - xy)(y² + xy) = [tex]y^{4} - x^{2} y^{2}[/tex]. This expression is correct

(64y² + x²)(-x² + 64y²) = (64y² + x²)(64y² - x²) = [tex]4096y^{4} -x^{4}[/tex]. This expression is correct.

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What is the equation of the line perpendicular to 2x - 3y = 13 that passes through the point (-6, 5)?
y=x+9
y=-3x-4
y=-x-13
y-x-1

Answers

Rewriting the equation of the given line in slope-intercept form,

[tex]2x-3y=13\\\\2x-13=3y\\\\y=\frac{2}{3}x-\frac{13}{3}[/tex]

Thus, the slope of the given line is 2/3. Since perpendicular lines have slopes that are negative reciprocals of each other, we want to find the line with a slope of -3/2.

Substituting into point-slope form,

[tex]y-5=-\frac{3}{2}(x+6)\\\\y-5=-\frac{3}{2}x-9\\\\\boxed{y=-\frac{3}{2}x-4}[/tex]


Find the domain and range of the function graphed below. Write your answers in interval notation.

Answers

Answer:

Domain: [tex][1, \infty)[/tex]Range: [tex](-\infty, -2][/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Please someone help me with steps!

Answers

I think 96 I am not sure

Answer:

96

Step-by-step explanation:

The formula for average = [tex]\frac{Sum \hspace{0.15cm} of\hspace{0.15cm} Items}{No.\hspace{0.15cm} of \hspace{0.15cm} Items}[/tex]

After taking 3 tests, the average is 88.

∴ 88 = Sum of Items / 3

Sum of Items = 88 x 3

                      = 264

This means Lenny's total score after 3 tests is 264.

We now have to calculate how many marks needs to be added to 264 so that after four tests, the average is 90.

Now the number of items (tests) = 4, and average = 90.

Let the marks required in 4th test = [tex]x[/tex]

∴ [tex]\frac{264 + x}{4} = 90[/tex]

264 + [tex]x[/tex] = 360

[tex]x[/tex] = 360 - 264

  = 96

Mr. Garret has a total of 20 students in his class. The number of female students is 4 less than twice the number of male students. How many female and how many male students does he have?​

Answers

Answer:

8 male, 12 female

Step-by-step explanation:

male = x

female = 2x - 4

2x - 4 + x = 20

3x - 4 = 20

3x = 24

x = 8

2(8) - 4 = 12

there are 8 male, 12 female

2) Sarah takes a small business loan for
$25,000. The term for repayment is 60
months and the interest rate is 5.75%.
formula,
Use the loan amortization
what is the estimated monthly
payment?

Answers

Using it's formula, it is found that the estimate monthly payment is of $480.42.

What is the monthly payment formula?

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

P is the initial amount.r is the interest rate.n is the number of payments.

The parameters are given as follows:

P = 25000, n = 60, r = 0.0575.

Hence:

r/12 = 0.0575/12 = 0.00479167.

Hence the payment will be of:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 25000(0.00479167)\frac{(1+0.00479167)^{60}}{(1+0.00479167)^{60}-1}[/tex]

A = 480.42.

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Need help with this geometry question

Answers

Answer: 10 inches

Step-by-step explanation:

Diagonals of a parallelogram bisect each other, so the top of the jack is 5(2)=10 inches off the ground.

a drone traveling horizontally at 120m s over a flat ground at an elevation of 4500 meters must drop an emergency package on a target on the ground the trajectory of the package is given by x 120t y 4.9t 2 4500

Answers

The packet should be dropped  3636.55 horizontal meters before the target in order to hit the target

What is a Trajectory ?

Trajectory is the path followed by a moving object when it is falling under gravitational force.

x = 90 t

y = -4.9 t²2 + 4500

t ≥ 0

y = 0

-4.9t² + 4500 = 0

4.9t²2 = 4500

[tex]\rm t = \sqrt {\dfrac{4500}{4.9}}[/tex]

t = 30.30 seconds

substituting the value to determine the horizontal distance

x = 120 * 30.30

x = 3636.55 meters

Therefore the packet should be dropped  3636.55 horizontal meters before the target in order to hit the target

The complete question is

a drone traveling horizontally at 120m s over a flat ground at an elevation of 4500 meters must drop an emergency package on a target on the ground the trajectory of the package is given by x 120t y 4.9t 2 4500 where the origin is the point on the ground directly beneath the drone at the moment of release. How many horizontal meters before the target should the package be released in order to hit the target? Round to the nearest meter.

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Determine which of the following statements about the given triangles is true.​

Answers

Answer:

The answer be the 2 one

Step-by-step explanation:

I do it and it come right

Given that y is an integer, find all values of y such that y< 6

Answers

Answer:

Values: 3,4,5

Step-by-step explanation:

I hope this helps:)

Please answer all the questions txxxx

Answers

In the first image, the answer is the square root of 3,778 meters. In the second image, the answer is B, or 12 cm. In the third image, the answer is C, or 10^2 + 8^2 = x^2.

Explanations:

1st image: The longest side of the triangle is equal to the hypotenuse, which is c squared. Because a squared + b squared equals c squared, that would mean 23 squared + 57 squared equals c squared. 23 squared (23 x 23) equals 529, and 57 squared (57 x 57) equals 3,249. 3,249 + 529 = 3,778. This means that c squared equals 3,778. Now, to find c, we can find the square root of 3,778 which would be 61.5 meters rounded. That’s how I got my answer.

2nd image: 13 squared is the hypotenuse, which equals 169 because 13 x 13 is 169. Therefore, 5 squared (which equals 25) + b squared = 169. 169 - 25 = 144, and that means b squared equals 144. The square root of 144 is 12, so 12 cm is the length of the longer leg.

3rd image: x is equal to the hypotenuse, or c squared. Because the Pythagorean Theorem equation is a squared + b squared = c squared, your equation is 10 squared + 8 squared = x squared. That would make the only relevant answer C.

There are the answers and explanations for all of the problems. If you need further explanation on Pythagorean Theorem, let me know and I will explain!

Dr. Shepherd - no, not that Dr. Shepherd, the other one-writes an order for ibuprophen 300 mg by mouth every 4 hours for pain. Pharmacy
dispenses 50 mg/2.5 mL. How many mL per dose?
000
a
b
C
d
5mL
50 ml
2.5 mL
15 mL

Answers

Answer: d

Step-by-step explanation:

divide 300 by 50 to get 6 then multiply 2.5 by 6 to get 15 therefore the answer is d 15ml

Find f(g(x)) and g(f(x)).
f(x)=x²-2 and g(x)=√x+1

Answers

Answer:

1. x - 1

2. [tex]\sqrt{x^2-1}[/tex]

Step-by-step explanation:

[tex]f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1[/tex]

[tex]g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}[/tex]

Help me with this question please!! :)

Answers

Answer: 4.2%

Step-by-step explanation:

The probability the first response is correct is 1/6.The probability the second response is correct is 1/4.

Multiplying these, we get (1/6)(1/4), which is about 4.2%

Line AB and line BC form a right angle at point B with points A(2,5) and B(8,3) . What is the equation of line BC ?

Answers

Answer: y = 3x - 21

Step-by-step explanation:

If the lines form a right angle, this means that they are perpendicular. Therefore, we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other (in other words, their slopes multiply to -1).

The slope of AB is [tex]\frac{3-5}{8-2}=\frac{-2}{6}=-\frac{1}{3}[/tex]. This means that the slope of BC is 3.

Substituting into point-slope form,

[tex]y-3=3(x-8)\\\\y-3=3x-24\\\\\boxed{y=3x-21}[/tex]

Two regular polygons X and Y are such that the number of sides of X is
3 more than the number of sides of Y. If the sum of the exterior angles
of X and Y is 117°, how many sides has .X?

Answers

Based on the indices of the regular polygons, the number of sides that X has is 8. See the computation below.

What is the analysis for the above solution?

Assuming that X has G number of sides; and

Y has H number of sides, this means that:

G-H = 3 ...........1

Recall that the formula for the exterior angles is:

360/n; where n is number of sides

X = 360/G

Y = 360/H

(360/G) + (360/H) = 117°.......2


Solving 1 and 2 simultaneously, we obtain:

G= 8 and

H = 5

Thus, X has 8 sides.

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Simplify the expression by combining like
terms: Algebra 1

Answers

Answer:

The number in the green box should be 3.

Step-by-step explanation:

[tex]c + 4 {c}^{2} - 2 + 2c - {c}^{2} + 5 = 3 {c}^{2} + 3c + 3[/tex]

Select the correct answer.
If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system?
OA. The lines in a system cannot be parallel.
There are infinitely many solutions.
B.
OC. There is exactly one solution.
D. There is no solution.
Reset
Next

Answers

Answer:

Look below!

Step-by-step explanation:

From the picture, the answer is A.

From the points, calculate the slope using y2-y1/x2-x1

you will find that the slope is -1

parallel lines have the same slope

so y = -x+1 is the correct answer

now,

parallel lines never intersect

therefore, they have no solution.

K
178
219
J
Which of the following statements is true?
A. sin(J)> cos(L)
B. sin(L) C. tan(J)=tan(Z)

Answers

Using the sine and cosine ratios, the true statement is: D. sin(J) = cos(L).

What is the Sine and Cosine Ratios?

Sine ratio: sin ∅ = opp/hyp.

Cosine ratio: cos ∅ = adj/hyp.

In the image given, find sin(J) using the sine ratio:

∅ = J

Opposite = KL = √(219² - 178²) = 127.6 [Pythagorean theorem]

Hypotenuse = LJ = 219

Sin(J) = 127.6/219

Find cos(L) using the cosine ratio:

∅ = L

Adj = KL = 127.6

Hypotenuse = LJ = 219

Cos(L) = 127.6/219

Therefore, the true statement is: D. sin(J) = cos(L).

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What formula should be entered in A3 to compute A1 times B1?
A =A1 B1
B =A1/B1
=B1*83
=A1*B3
123
2
A B
2
10
8
8458
U375
C

Answers

The formula that should be entered in A3 is = A1 * B1

How to determine the formula?

The question implies that:

A3 = A1 times B1

In mathematics, the term "times" means *

So, we have:

A3 = A1 * B1

Remove the variable A3

= A1 * B1

Hence, the formula that should be entered in A3 is = A1 * B1

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I have to get my head in the zone because this chopper is heading into stormy conditions, and it will feel as though things are happening at supersonic speed when we get to the site. This storm blew in unbelievably fast, so I can see how those poor fishermen were marooned. They were out there just trying to make a living on a Monday afternoon, and along comes a life-threatening situation. I hope theyre both unharmed and conscious, and that they will be able to help me give them assistance.Im going to try and get a visual of the fishermen as soon as possible because its critical to know what Im going into. I have to be cognizant of every detail at the site so that I can work in an accurate and expeditious manner. Oh, here it comes: the Wave of Doubt. Why cant I just concentrate on the task at hand in these situations? Heres a better question: Why didnt I go into public relations or web design like everyone else in my class so that I would have been able to stay on dry land seven days a week?It was the summer of sophomore year when Maceo, Tim, and I went out on Uncle Jacks boat and witnessed the rescue mission that determined my fate. As much as I wanted to know what was going to happen to the people on that boat, I was just as captivated by that amazing rescue team. That team could never have anticipated the exact circumstances it would encounterthe direction of the wind, the quickly disappearing ship, and the angle at which it had capsizedand yet every maneuver was executed as if the mission had been planned and choreographed. Thats the moment I decided what I would do with the rest of my life. 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Hes the best pilot Ive ever worked with, and he can keep a helicopter steady in a monsoon. I wonder whether Thao ever doubts himself or whether he questions his ability the way I do mine. Is that something I can ask someone who has a high-pressure occupation, or will he think Ive lost my edge?It looks like were going to circle around and wait for the most judicious opportunity for rescue. I know that Thao does not want to repeatedly attempt this approach; he wants to be confident that when he makes his descent, it is at the most favorable time to carry out the rescue. I can see exactly how these fishermen got stranded here, and it looks like they did everything right once they realized they were going to get stuck. That will make the rescue much easier.I shouldnt think of this as easy. I know what I need to do here, but I could lose one these men if just one thing goes wrong. Ill hear my petty officer whos here in the chopper through my earpiece, and hell be acting as a second pair of eyes alerting me about anything he thinks I do not see coming. While thats reassuring, its up to me to get those men into this helicopter.Here we go; Thao is making his descent. Im going to be in a perfect position as I leave the chopper, and I can visualize just how this is going to go. Every move will be deliberate and meticulous, just like that rescue from sophomore year. Im close enough to see the relief in the fishermens faces. Ive got this.How does the author heighten the suspense in this story?A: The author provides details about how the fishermen became marooned at sea.B: The author describes how the chopper pilot has to make his descent at the most favorable time.C: The author describes how the narrator relies on the petty officer to alert him to things he doesn't see coming during the rescue.D: The author informs readers that the narrator's captain wouldn't have assigned the narrator to these missions if he couldn't handle them. Aluminum oxide reacts with lithium metal. What is the coefficient for lithium when the equation is balanced? solve : y+3=10 solve the question Students and classes have a _____ relationship Two towns that are 32 km apart are 8 cm on a map. What is the scale of the map?This question is urgent, I have grade 8 final exams tomorrow and I'm struggling with this type of question. according to the module, what is the best source for information about graduate programs in psychology? (100 POINTS) WILL MARK BRAINLIESTWhich of the following explains how one of the postulates in John Dalton's atomic theory was later subjected to change? Various scientists found that all atoms of a particular element are identical. Some scientists found that atoms combine in simple whole number ratios to form compounds. Various scientists found that atoms consist of subatomic particles with varying mass and charge. Some scientists found that bonds between atoms are broken, rearranged, or reformed during reactions. _____ consists of partially completed products in various stages of completion that are awaiting further processing. Suppose the resistance of a copper wire is 1.05 N at 30C.Find the temperature at which the resistance becomes 1.50. Before World War II, the Catholic Church and Nazi Germany signed an agreement thatA. Eventually failed, in which nazi Germany agreed to follow peaceful diplomatic tactics B. Denounced communism and The rule of Stalin in the Soviet UnionC. Allowed Catholics to worship as long as the church recognize the Nazi regimeD. Exempt Catholics from service in the German military forces How many calories are absorbedwhen water absorbs 6.55 kJ ofenergy?[?] cal A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights? A. 1:1 B. 1:7 C. 1:8 D. 7:1 Which of the following slopes of a line pass through points (1, -3) and (0, 2)?m=5m = -5m = undefinedNone of these choices are correct. 6. Using the discriminant, determine the value of k that will give 1 solution (i.e. discriminant equals zero) y = kx-4x + 4 Could use some help! Brainliest to who answers :)