What is the slope of (-1,2) and (0,-4)

Answers

Answer 1

Answer:

- 6

Step-by-step explanation:

[tex]slope = \frac{ - 4 - 2}{0 - ( - 1)} = \frac{ - 6}{0 + 1} = \frac{ - 6}{ 1} = - 6 \\ [/tex]


Related Questions

Which is a good example of a shield volcano?
A. Mauna Loa
B. Mount Saint Helens
C. Mount Vesuvius
D. Kilimanjaro

Answers

Answer:

a. Manua Loa

Step-by-step explanation:

brainliest really needed!!

Answer:

A is your answer

Step-by-step explanation:

You are overseeing a machine that seals 80 soda cans per minute. In one hour of time, how many soda cans will be sealed? _____ soda cans?

Answers

Answer: 4800

Step-by-step explanation: 80 x 60 = 4800

ead the question and type your response in the box provided. Your response will be saved automatically.
Two expressions are below.

M = 4(2x + 6)

N = 8x + 10

Part A:

Apply the distributive property to write an expression that is equivalent to expression M.

Part B:

Explain whether or not expressions M and N are equivalent for any value of x.

Label your answers to both parts of the problem in the response box.

Answers

Answer:

Part A:  8x + 24

Part B:  Expressions M and N are not equivalent for any value of x because if you do 8x + 24 = 8x + 10, the 8x will cancel out from both sides and you are left with 24 = 10, which is not true, and therefore has no solution.

Step-by-step explanation:

For Part A, to apply the Distributive Property, you multiple the 4 with both terms in the parentheses. So, you do 4(2x) + 4(6). This expression is equal to 8x + 24.

Hope this helped! :)

Omar purchased a used vehicle for $6,500 one year ago. He drove 12,000 miles during the year and kept a record of all his expenses. The variable costs totaled $1,972.50, and the fixed costs totaled $2,476.25. What was the cost per mile for Omar to operate his vehicle last year?
1 point
$0.16
$0.20
$0.37
$2.70

Answers

Answer:  $0.16

Step-by-step explanation:

Hi, to answer this question we simply have to divide the variable cost ($1,972.50) by the number of miles driven (the variable; 12,000 miles)

Mathematically speaking:

1,972.50 /12000 = 0.16

The cost per mile for Omar to operate his vehicle last year was $0.16

Feel free to ask for more if needed or if you did not understand something.

j+ 12 =25 find the solution to equation algebtaically​

Answers

Answer:

j= 13

just subtract 12 from 25

Start by isolating the j.

Subtract 12 from both sides.

On the left, the 12 and -12 cancel.

On the right, 25 - 12 is 13.

So we have j = 13.



Determine the y-intercept of the function.
x = 4y - 6

Answers

Answer:

y = 3/2

Step-by-step explanation:

Answer:

x=4y-6  

Geometric figure: Straight Line

 Slope = 0.500/2.000 = 0.250

 x-intercept = -6/1 = -6.00000

 y-intercept = 6/4 = 3/2 = 1.50000

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x-(4*y-6)=0  

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   x-4y+6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-4y+6  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/2 so this line "cuts" the y axis at y= 1.50000

 y-intercept = 6/4 = 3/2  =  1.50000  

Calculate the X-Intercept :

When y = 0 the value of x is -6/1 Our line therefore "cuts" the x axis at x=-6.00000

 x-intercept = -6/1  = -6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.500 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 1.500 = 0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.500/2.000 =  0.250  

Geometric figure: Straight Line

 Slope = 0.500/2.000 = 0.250

 x-intercept = -6/1 = -6.00000

 y-intercept = 6/4 = 3/2 = 1.50000

Step-by-step explanation:

Jay earns $8 an hour when he works at his uncle’s store. He earns $9 an hour when he does yard work for his neighbor. Which expression represents the total amount he will earn in a week when he works u hours at his uncle’s store and v hours doing yard work for his neighbor?

Answers

Answer:

8u+9v

Step-by-step explanation:

Answer:

8u+9v

Step-by-step explanation:

Write the equation of the circle graphed below

Answers

Answer: (x-1)² + (y-2)² = 6.25

Step-by-step explanation:

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. The center of this circle is (1,2) and the radius is 2.5, so the equation of this circle would be (x-1)² + (y-2)² = 6.25

Answer:

(x-1)² + (y-2)² = 6.25

Step-by-step explanation:

The answer to the volume of a sphere/hemisphere should only be written as a(n)

Answers

Answer:

Cubic unit.

Step-by-step explanation:

The answer to the volume of a sphere/hemisphere should only be written a cubic unit, because volumes depends on three coordinates to be defined, width, lenght and height, where each coordinates is a length itselft, which multiplied give a cubic length unit, due to the power properties.

For example, imagine that you have all three dimensions in meters, then the product would be [tex]m \times m \times m=m^{3}[/tex].

Therefore, the answer that completes the statment is cubic unit. A volume should be always written in cubic units.

Answer:

The answer to the volume of a sphere/hemisphere should only be written as a function of the radius.

Step-by-step explanation:

An hemisphere is half of a sphere. Its volume can be determined by dividing the volume of a given sphere by 2. The volume is the maximum space or capacity that a 3 dimensional object occupies.

volume of a sphere = [tex]\frac{4}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]

volume of an hemisphere = [tex]\frac{2}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]

In both cases, the volume is dependent on the value of radius.

The answer to the volume of a sphere/hemisphere should only be written as a function of the radius. Volume is measured in cubic units.

The vertex of the graph of f(x) = (x - 3| + 6 is located at

Answers

Answer:

The answer is The vertex of the graph of f(x) = |x – 3| + 6 is located at (3,6)

3

and

6

Step-by-step explanation:

Vertex of graph located at (3,6)

What is vertex?

A mathematical object's vertex is a special point where two or more lines or edges typically meet. Angles, polygons, and graphs are the most common examples of vertices.

Given equation f(x) = |x - 3| +6

after simplifying there will be two equations they are

y = x - 3 + 6 = x +3...….(1)

and y = -(x-3) +6

y = 9 - x...…(2)      

substitute value of equation 2 in eq. 1

9 - x = x + 3

      x = 3 and

substitute value of x in eq. 1

y = x + 3 =3 + 3

y = 6

x = 3, y = 6

Hence the intersecting points of both equation are (3,6)

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Find the area of the shape
with the radius of 10

Answers

Answer: 314.16

Step-by-step explanation: To find the area of a circle you have to square the radius then multiply by pi. 10 squared is 100 then multiplied by pi is 314.16 (rounded to the nearest hundredth).

23x6= blank+(3 x 6)

Answers

23x^6=()+(3x^6)=

We move all terms to the left:

23x^6-(()+(3x^6))=0

The value of the unknown in the algebraic equation is 120.

What is Algebra?

Algebra is the branch of mathematics, that deals with the representation of numbers and values with alphabets and symbols.

An algebraic equation is an equation containing an algebraic term in it.

From the given question,

Let the blank  be represented by x,

23 * 6 = x + (3 *6)

Multiply the numbers on the left side of the equation.

138 = x + (3 *6)

Multiply the expression inside bracket.

138 = x + 18

Solve the equation for x.

x = 138 - 18

x = 120

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Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Firstly, [tex]x^{-y} = \frac{1}{x^y}[/tex], so in this case, you multiply [tex](6^{-8})^4[/tex], which equals [tex]6^{-32}[/tex]. Then, plug it into [tex]x^{-y} = \frac{1}{x^y}[/tex] and you get

[tex]6^{-32} = \frac{1}{6^{32}}[/tex], so it's [tex]\boxed{A.}[/tex]

Estimate the sum of 17.36 and 8.7 BY ROUNDNG TO THR NEAREST WHOLE NUMBER BEFORE ADDING...?

A.9

B.10

C.25

D.26

E. None correct

Answers

Answer:

D. 26

Step-by-step explanation:

We have to round to whole numbers before adding.

When approximating to whole numbers, if the number after the decimal is less than 5, you round down to 0 but if it is greater or equal to 5, you round up to 1.

17.36 ≅ 17

8.7 ≅ 9

Therefore:

17 + 9 = 26

Find cos theta, tan theta, and csc theta, where is the angle shown in the figure.
Give exact values, not decimal approximations.

Answers

Remember (Soh) (Cah) (Toa). CSC is just the inverse of sine.

The exact values of [tex]cos\theta[/tex], [tex]tan\theta[/tex], and [tex]cosec\theta[/tex] are [tex]\frac{\sqrt{33} }{7}[/tex], [tex]\frac{4}{\sqrt{33} }[/tex] and [tex]\frac{7}{4}[/tex] respectively.

What is sine of an angle?

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

What is cosine of an angle?

In a right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H).

What is tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

What is cosecant of an angle?

In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle.

According to the given question.

We have a right angle triangle ABC.

In which

AB = 7

AC = 4

Now by Pythagoras Theorem

[tex]AB^{2} =AC^{2} +BC^{2}[/tex]

⇒ [tex](7)^{2} = (4)^{2} + BC^{2}[/tex]

⇒ [tex]49 = 16 +(BC)^{2}[/tex]

⇒ [tex]49 - 16=BC^{2}[/tex]

⇒ [tex]BC^{2} = 33[/tex]

⇒ [tex]BC=\sqrt{33}[/tex]

In the right angle triangle

Hypotenuse, AC = 7

The side BC is the adjacent side w.r.t angle θ.

And, Side BC is the opposite side w.r.t angle θ.

Therefore,

[tex]tan\theta=\frac{4 }{\sqrt{33} }[/tex]

[tex]cos\theta= \frac{\sqrt{33} }{7}[/tex]

[tex]sin\theta= \frac{4}{7}[/tex]

[tex]cosec\theta=\frac{1}{sin\theta} =\frac{1}{\frac{4}{7} } =\frac{7}{4}[/tex]

Hence, the exact values of [tex]cos\theta[/tex], [tex]tan\theta[/tex], and [tex]cosec\theta[/tex] are [tex]\frac{\sqrt{33} }{7}[/tex], [tex]\frac{4}{\sqrt{33} }[/tex] and [tex]\frac{7}{4}[/tex] respectively.

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What’s the answer to this question ?

Answers

Answer:

  the correct choice is marked

Step-by-step explanation:

The zero-crossings at -3 and +3 tell you that one of the factors is the difference of squares:

  (x +3)(x -3) = x^2 -9

The zero crossing at -1 tells you that x+1 is a factor.

So, the polynomial factors as ...

  f(x) = (x^2 -9)(x +1)

Multiplying this out, we get ...

  f(x) = x^2(x +1) -9(x +1)

  f(x) = x^3 +x^2 -9x -9 . . . . . . matches the first choice

What is the area of a rectangle with sides length of 5/12 feet and 2/3 feet

Answers

Answer:

The answer is 10/36 or if you want to simplify, 5/18

Step-by-step explanation:

To solve the area of a rectangle, you need to multiply the sides with each other, so 5/12 x 2/3 is 10/36 (unsimplified) . You multiply the numerators and then the denominators and simplify.

25 POINTS IF YOU GET THIS ONE RIGHT! VERY HARD

Answers

Answer:1.A 2.C 3.A 4.B

Step-by-step explanation:

1. (answer) a- 257 grams.

2. (answer) c. 1.18 kilometers.

3. (answer) b. 56.

4. (answer) a. 14 7/8 pounds.

What is 10,000 steps in feet

Answers

Answer: 10,000 steps is 5 miles aka 2,000 feet

Step-by-step explanation:

i pretty sure it would be 26,400 feet

The quality control manager at a light bulb factory needs to estimate the mean life of a batch (population) of light bulbs. We assume that the population standard deviation is 100 hours. A random sample of 64 light bulbs from the batch yields a sample mean of 350. a) Construct a 95% confidence interval for the population mean of light bulbs in this batch. b) Do you think that the manufacturer has the right to state that the average life of the light bulbs is 400 hours

Answers

Answer:

a)95%  confidence intervals for the population mean of light bulbs in this batch

(325.5 ,374.5)

b)

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

95%  confidence intervals for the population mean of light bulbs in this batch

[tex](x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )[/tex]

[tex](350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )[/tex]

[tex](350 -24.5, 350 +24.5)[/tex]

(325.5 ,374.5)

b)

Explanation:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

Null hypothesis : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

Alternative Hypothesis: H₁: μ ≠400

The test statistic

[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }[/tex]

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

Conclusion:-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

The driveway in front of the brown house is 35 feet long and the driveway in front of the red house is 7 yards, 9 feet long. Which house has the long driveway and by how much? *

Brown house driveway; larger by 30 feet
Red house driveway; larger by 7 feet
Brown house driveway; larger by 5 feet
They are both equal.

Answers

Answer:

Brown house driveway; larger by 5 feet

Step-by-step explanation:

Lets convert yds to ft

We know 3 ft = 1yd

3*7 = 21

so 7yds = 21 ft

Add the 9 ft

7yds 9ft = 21+9 = 30 ft

The house with the 35 ft driveway is longer by (35-30)  or 5 ft

How do I type in exponents

Answers

Answer:

on what

Step-by-step explanation: normaly you have a button that you can have certain characters

A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. A driver fills the tank and sets off on a journey.How many litres of petrol will be left when the car has travelled 360 miles?

without calculator

Answers

Answer:

After travelling 360 miles, 15 litres of petrol will be left.

Step-by-step explanation:

If a car can travel 480 miles with a full tank of 60 liters of petrol, it could be said that each liter of petrol allows to travel 8 miles (480/60 = 8). Therefore, since the driver has driven his car for 360 miles, his tank has spent 45 liters of petrol (360/8 = 45). In conclusion, given that the tank has a capacity of 60 liters and that it was full at the time of departure, having spent 45 liters, 15 liters remain in the tank.

What is the probability of flipping a coin three times and getting either all heads or all tails?

Answers

Answer:

12.5 %

Step-by-step explanation:

Each time you probability of flipping one side is 50%, so when you do this three times (I think of x^3), your probability is going to be 0.5 * 0.5 * 0.5, or 12.5%

A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1211 males​ surveyed, 185 responded that they had at least one tattoo. Of the 1097 females​ surveyed, 130 responded that they had at least one tattoo. Construct a 90​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p 1 represent the proportion of males with tattoos and p 2 represent the proportion of females with tattoos. Find the 90​% confidence interval for p 1 minus p 2.

Answers

Answer:34%

Step-by-step explanation:I think this is right but I don’t really understand

What is the quotient?
(6 * 108) = (1.5 x 10-4)
4 x 1012
4 x 104
4 x 10-32
4 * 10-2​

Answers

Answer:

The first choice.

Step-by-step explanation:

6 * 10^8 /  1.5 * 10^-4

= (6/1.5)  * (10^(8 - (-4))

= 4 * 10^12.

Answer:

4 x 1012

Step-by-step explanation:

GUYS I NEED HELP ASAP



A rectangular playground is 40 feet wide. Find the area of this playground, if the fence around it, including the gates, is 200 feet long.

Answers

Answer:

[tex]A=2400ft[/tex]

Step-by-step explanation:

A rectangle is a closed planer quadrilateral with four  right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:

[tex]Perimeter=w+h+w+h=2w+2h\\\\Where:\\\\w=Width\\h=Height[/tex]

The ectangular playground is 40 feet wide, so:

[tex]w=40ft[/tex]

Therefore:

[tex]Perimeter=2w+2h\\\\200=2(40)+2h\\\\200=80+2h[/tex]

Solving for h:

[tex]2h=200-80\\\\2h=120\\\\h=\frac{120}{2} \\\\h=60ft[/tex]

The area of a rectangle is equal to the product of two of its contiguous sides, hence:

[tex]A=wh\\\\A=(40)(60)=2400ft[/tex]

I attached you a picture of the rectangle

You roll two dice. How many ways can you
roll a sum of 8 or a sum of 10?

Answers

Answer:

5 different ways

Step-by-step explanation:

for the 8

2 and 6

3 and 5

4 and 4

for then tens

5 and 5

4 and 6

Shira packs 170 lemon bars in boxes for the bake sale. Each box holds 8 lemon bars. She takes home the lemon bars tha are leg over after she has filled as many boxes as possible. Ahora use partial quotients to find how many boxes of lemon bars she can fill to sell at the bake sale. She finds only two partial quotients when she divides. Use the numbers in the box to answer the questions
1 2 7 8 20 21 23 27 29

Answers

Question:

1. How many full boxes of lemon bars can Shira fill?

2. How many delicious lemon bars will she be taking home?

Answer:

1. Number of filled box = 21

2. Number of take home = 2

Step-by-step explanation:

Given

Number of lemon bars = 170

Each bar contains 8 lemon bars

Required

(1) & (2)

To calculate the number of boxes Shira can fill, we simply divide the total number of bars by constituents of each bar .

i.e.

Number of filled box = 170/8

Number of filled box = 21.25

But here, we only need the quotient of the division because it represents the filled boxed.

So,

Number of filled box = 21

Calculating the number of take home.

We'll follow the same steps as (1) above but here, we only need the remainder of the division.

When 170 is divided by 8, the remainder is 2.

So, number of boxes she'll take home is 2.

See calculation below

Number of take home = 170 % 8

Number of take home = 2

Barnes and Nobles buys a book for $14.25. They markup the price of the book by 35%.

Answers

Answer:

$19.24

Step-by-step explanation:

Take 14.25 times 1.35.

The markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.

What is the markup rate?

The markup rate is computed by dividing a unit's gross profit (its sales price less its cost to create or buy for resale) by its cost.

Barnes and Noble buy a book for $14.25. They mark up the price of the book by 35%.

As per the question, we have

cost = $14.25

markup rate = 35% = 0.35

Let's x represent markup for the book,

markup rate = markup/sale price × 100%

35% = x / $14.25

0.35 = x / $14.25

x = $14.25 × 0.35

Apply the multiplication operation, and we get

x = 4.9875

So sale price = markup + cost

So sale price = $4.9875 + $14.25

So sale price = $19.237

Thus, the markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.

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The Berlin WallC. The Berlin AirliftD. The Berlin BlockadeThe North Atlantic Treaty Organization (NATO) and the Warsaw Pact were formed as *1 pointA. alliances of mutual friendship between the democratic West and communist EastB. economic aid packages to rebuild EuropeC. peace treatiesD. military alliances that pitted the worlds postwar superpowers against each otherWhat two events in 1949 heightened American concerns about the Cold War? *1 pointA. The Potsdam Conference and the Berlin BlockadeB. The Soviet Unions successful test of their own atomic bomb and the communist takeover of ChinaC. The formation of NATO and the end of the Marshall PlanD. The Berlin Airlift and the communist takeover of Greece and TurkeyIn June 1950, what event marked the beginning of the Korean War? *1 pointA. North Koreans crossed the 38th Parallel into South KoreaB. US forces entered North Korea, driving the North Korean Army almost all the way to ChinaC. South Koreans crossed the 38th Parallel into North KoreaD. The Communist takeover of ChinaWhich of the following statements BEST describes the outcome of the Korean Conflict? *1 pointA. North and South Korea came to a complete and peaceful agreement in a treaty negotiated by China.B. Leaders from North and South Korea agreed to reunite under a single, communist government.C. There was little change, with the border between North and South Korea being set along roughly the same line.D. North Korea was badly defeated and surrendered to South Korea. The country reunited and became democratic.Option 5Who did Senator McCarthy claim was working in the US State Department? *1 pointA. CommunistsB. CapitalistsWhat was the Trinity Test and where did it take place? *1 pointA. The first testing of the atomic bomb by the United States; New MexicoB. A series of questions created by Senator Joe McCarthy designed to root out communist spies; Washington D.C.C. The first testing of an atomic bomb by the Soviet Union; northern RussiaD. None of the aboveFrom 1940 to 1960, what happened to the United States military defense budget? *1 pointA. It grew by only a small amountB. It grew by a great amountC. It shrank by only a small amountD. It shrank by a great amountHow could the principle of deterrence, which promised mutually-assured destruction actually PREVENT a nuclear war? *1 pointA. If one side attacked first, the other side would be immediately destroyedB. Both sides had only enough nuclear weapons for one attack eachC. In a nuclear war, both sides were sure to attack and so destroy each other; Thus, neither side ever dared to attackD. Only one side could win a nuclear war Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.What is the probability that the sequence is guessed on the first try?StartFraction 1 Over 24 EndFractionOne-eighthOne-fourthOne-third You are frying chicken for dinner. The doorbell rings. The chicken is almost done. What should you do and why?it not muably choesexeuoes bad spelling The exponential function f, represented in the table, can be written as f (x)=a*b^xx | y ___0|51 | 8 please help this is an online test I need to pass. Thank you lots! How do organisms get the energy they need?Group of answer choicesA)Plants break down the glucose they produced in photosynthesis, and animals get energy from eating other organismsB)Plants do not require energy because they do not move, and animals get energy by performing exerciseC)Plants get energy from fertilizers, and animals get energy by drinking waterD)Plants get energy from glucose produced in the soil, and animals get energy directly from sunlight A cylindrical specimen of some metal alloy having an elastic modulus of 108 GPa and an original cross-sectional diameter of 3.7 mm will experience only elastic deformation when a tensile load of 1890 N is applied. Calculate the maximum length of the specimen before deformation if the maximum allowable elongation is 0.45 mm. The population P of birds in an area is modeled by the exponential modelP(t) = 30e-95t where t represents time in years.Is the population of birds increasing or decreasing?a. Increasingb. Decreasing WILL RATE BRAINLIEST PLZ HELP A metaphor compares but does not use the words like or as. Complete thefollowing sentence with a metaphor.My first day at summer camp was- What bodies of water surround Europe? * !! Please help!!With the exception of 1 and 63, find all the numbers that divide into 63 with no remainderA. 2, 3,6B. 3,9,21c. 3,7D 3,7,9, 21E, 3,7,9 In response to an increasing blood glucose level, the human body will normally A) release a hormone that lowers the blood glucose B) use the excess glucose to make protein C) store the glucose in cell nucleiD) produce a hormone that destroys the glucose The wolves, small in number, transformed, not just the ecosystem of Yellowstone National Park but also its physical geography." What is the best description of the term physical geography? aThe way in which living things interact with each other bThe way in which living things and non-living things interact with each othercThe number of humans within an areadThe natural features and processes within an area 13. The function y=-6sin(x)+C has a maximum value of 10. What is its minimum value? Explain youranswer.