Which graph represents the solution set for
-X2 + 8x - 12 > 0?

Answers

Answer 1
Answer:
Here is how it should be graphed.
Which Graph Represents The Solution Set For-X2 + 8x - 12 > 0?
Answer 2

Answer:

B

Step-by-step explanation:


Related Questions

What is the approximate value of sin B?
B
>
17.46
7
A
16

Answers

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

AB = 7 units

BC = 17.46 units

AC = 16 units

Now we apply the sine rule in the given triangle ABC,

SinB = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

        = [tex]\frac{AC}{BC}[/tex]

        = [tex]\frac{16}{17.46}[/tex]

        = 0.916

        ≈ 0.92

Therefore, Option (B) will be the answer.

Answer:

DIFFERENT PICS

Step-by-step explanation:

I had one and the awnser was 0.40, and C had a arch whereas B did not.


What is the vertex of f(x) = |x+ 8|– 3?
(-8, -3)
(-8,3)
(8, -3)
(8,3)

Answers

Answer:

The vertex is at (-8,-3)

Step-by-step explanation:

The function is of the form

y = a|x-h| + k  where (h,k) is the vertex

f(x) = |x+ 8|– 3

f(x) = |x - - 8|– 3

The vertex is (-8,-3)

Suppose you buy a CD for $500 that earns 3% APR and is compounded quarterly. The CD matures in 3 years. Assume that if funds are withdrawn before the CD matures, the early withdrawal fee is 3 months' interest. What is the early withdrawal fee on this account?

Answers

Answer:

  $3.75

Step-by-step explanation:

I = Prt

I = $500·0.03·(3/12) = $3.75

The early-withdrawal fee is $3.75 for the first quarter.

_____

Each quarter after that, the principal amount will be larger, so the interest penalty will be larger. The fee would be the amount of interest that would be credited at the end of the next quarter, or at the end of the quarter currently in progress.

12
? Select three options.
Which phrases can be represented by the algebraic expression
W
12 divided by a number
the quotient of 12 and a number
a number divided by 12
a number divided into 12
the product of 12 and a number

Answers

Answer:

Step-by-step explanation: its 24

1,2,5

Step-by-step explanation:

Write an expression for "the quotient of z and 4

Answers

Answer:

z/4

Step-by-step explanation:

you divide the numerator by the denominator

Answer:

z/4 is the answer

please brainliest me

Step-by-step explanation:

and can me divide which is also (/)

A campaign strategist wants to determine whether demographic shifts have caused a drop in allegiance to the Uniformian Party in Bowie County. Historically, around 62% of the county's registered voters have supported the Uniformians. In a survey of 196 registered voters, 57% indicated that they would vote for the Uniformians in the next election. Assuming a confidence level of 95% and conducting a one-sided hypothesis test, which of the following should the strategist do?

a. Accept the hypothesis that the proportion of Uniformian voters has not changed.
b. Accept the hypothesis that the proportion of Uniformian voters has decreased.
c. Conclude that the proportion of Uniformian voters is now between 56% and 62%.
d. There is not enough evidence to support the hypothesis that the proportion of Uniformian voters has decreased.

Answers

Answer:

d. There is not enough evidence to support the hypothesis that the proportion of Uniformian voters has decreased.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.62\\\\H_a:\pi<0.62[/tex]

The significance level is 0.05.

The sample has a size n=196.

The sample proportion is p=0.57.

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.62*0.38}{196}}\\\\\\ \sigma_p=\sqrt{0.001202}=0.035[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.57-0.62+0.5/196}{0.035}=\dfrac{-0.047}{0.035}=-1.369[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z<-1.369)=0.0855[/tex]

As the P-value (0.0855) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Which value of a in the exponential function below would cause the function to shrink? f(x) = a(three-halves) Superscript x Four-fifths Five-fourths Three-halves Seven-fourths

Answers

Answer:

Four-fifths

Step-by-step explanation:

As we know that

By multiplying the function by a constant, we may expand or shrink the function in the y-direction.

Now we have

[tex]y=a(b^{x})[/tex]

if [tex]a> 1[/tex]  > the function would enlarge

if [tex]0< a < 1[/tex] > the function would shrinks

Now

For case A

[tex]a = \frac{4}{5}[/tex]

[tex]0 < (\frac{4}{5} )< 1[/tex] ....... > the function would shrinks

For case B

[tex]a = \frac{5}{4}[/tex]

[tex](\frac{5}{4} )>1[/tex] .......> the function would enlarge

For case C

[tex]a = \frac{3}{2}[/tex]

[tex](\frac{3}{2} )>1[/tex] .........> the function would enlarge

For case D

[tex]a = \frac{7}{4}[/tex]

[tex](\frac{7}{4} )>1[/tex] .........> the function would enlarge

Therefore the second option is correct

Answer: 4/5

Step-by-step explanation: E2020

can someone help me please? its urgent​

Answers

Answer:

Step-by-step explanation:

Answer:

972^1/4 = 4 ⁴√3

448^1/3 = 4 ³√7

3528^1/2 = 42√2

4050^1/4 = 3 ⁴√50

Hope this helps.

Which of the options is the response variable?
A. The number of adults.
B. The type of training exercises performed by each participant.
C. The size of the physiological blind spot.
D. The number of times an adult performed training exercises.

Answers

Question:  

The physiological blind spot refers to a very small zone of functional blindness in the eye where the optic nerve passes through the retina. We do not notice it because our nervous system compensates for it. Can eye training reduce the size of a person's physiological blind spot? Researchers recruited a representative sample of 10 adults with normal vision. Each participant performed training exereises with one eye for three weeks. The size of the physiological blind spot was measured (in degrees of visual angle squared) with a motion detection task both prior to training and again after the training was completed. Which of the options is the response variable?

A) The size of the physiological blind spot

B) The number of adults.

C) The type of training exercises performed by each participant.

D) The size of the physiological blind spot.

E) The number of times an adult performed training exercises.

Answer:

The correct answer is A)

Explanation:

The response variable (when experimenting) is the variable or factor about which the researcher is concerned. It can also be (as the name entails) the variable which respond to changes in the experiment.  

The changes in the experiment is the training. The variable which the researcher is concerned about and which may or may not change with the introduction of training is the size of the physiological blind spot.

Cheers!

Which statements are true?
If all angles of a quadrilateral are right angles, then the quadrilateral must be a square.
Two shapes are similar if and only if their corresponding angles are equal.
All quadrilaterals have four sides, and the sum of all angles in a quadrilateral is 180º.
if the diagonals of a quadrilateral are perpendicular bisectors, then the quadrilateral must be a rhombus.
There are three vertices in a triangle, or there are four sides in a pentagon.
Any two triangles are either similar or congruent.

Answers

Answer:

Step-by-step explanation:

1) If all angles of a quadrilateral are right angles, then the quadrilateral must be a square. This is not true because the quadrilateral can also be a rectangle.

2) Two shapes are similar if and only if their corresponding angles are equal. This is true.

3) All quadrilaterals have four sides, and the sum of all angles in a quadrilateral is 180º. This is false because the sum of the angles is 360°

4) if the diagonals of a quadrilateral are perpendicular bisectors, then the quadrilateral must be a rhombus. This is true.

5) There are three vertices in a triangle, or there are four sides in a pentagon. This is false because a Pentagon has 5 sides.

6) Any two triangles are either similar or congruent. This is not true. Congruent triangles are always similar

Therefore, the true statements are 2 and 4

Answer:

its B and D

Step-by-step explanation:

A rhombus is a quadrilateral with four congruent sides. The perimeter of rhombus WXYZ is less than 32 inches. Which inequality can be used to find all possible side lengths, s, for rhombus WXYZ? s squared greater-than 32 s squared less-than 32 4 s less-than 32 4 s greater-than 32

Answers

Answer:

4s< 32

Step-by-step explanation:

Congruent sides mean they are all the same length

Let the length be s

Perimeter means add the sides

s+s+s+s < 32

4s< 32

Answer:

4s>32

Step-by-step explanation:

your welcome dears

Quinn used a scale drawing to build a soccer field near his school. Initially, he wanted the field to be 28 yards long and 17.5 yards wide. He decided to change the length of the field to 36 yards.

If the width is to be changed by the same scale factor, what is the new width of the field? Express your answer to the nearest tenth.
18.5
22.5
25.5
57.6

Answers

Answer:

So the answer is going to be B. AKA 22.5

Step-by-step explanation:

I took the test on ed and got this answer right! hth (hope this helps)

Answer:

B, second option, 22.5

Step-by-step explanation:

1.)because

2.)i'm

3.)kinda

4.)smart

answer=22.5:))))))))

The energy, E, of a body of mass m moving with speed v is given by the formula below. The speed is nonnegative and less than the speed of light, c which is constant. Use lower case letters here. E = mc^2 (1/Squareroot1 - v^2/c^2 - 1)
(a) Find E/m = c^2Squareroot1 - v^2/c^2 - c^2/1 - v^2/c^2 what is the sign of this partial? Positive negative
(b) Find E/v =?

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

  [tex]\frac{\delta E}{\delta m}= c^2 [\frac{1}{\sqrt{1 - \frac{v^2}{c^2} } } -1 ][/tex]

b

       [tex]\frac{\delta E}{\delta V} = \frac{mc^3 v}{(c^2 - v^2 )^{\frac{3}{2} }}[/tex]

Step-by-step explanation:

From the question we are given

            [tex]E = mc^2 [\frac{1}{\sqrt{1 - \frac{v^2}{c^2} } }- 1 ][/tex]

So we are asked to find  [tex]\frac{\delta E}{\delta m}[/tex]

Now  this is mathematically evaluated as

          [tex]\frac{\delta E}{\delta m} = \frac{\delta }{\delta m} [mc^2 ( \frac{1}{\sqrt{1 - \frac{v^2}{c^2} } } -1 )][/tex]

               [tex]= c^2 [\frac{1}{\sqrt{1 - \frac{v^2}{c^2 } } } -1 ] \frac{\delta m}{\delta m}[/tex]

              [tex]= c^2 [\frac{1}{\sqrt{1 - \frac{v^2}{c^2} } } -1 ][/tex]

Also we are asked to find  [tex]\frac{\delta E}{\delta V}[/tex]

    Now  this is mathematically evaluated as

         [tex]\frac{\delta E}{\delta V} = \frac{\delta }{\delta v } [mc^2 ( \frac{1}{\sqrt{1 - \frac{v^2}{c^2} } } - 1 )][/tex]

         [tex]\frac{\delta E}{\delta V} = mc^2 [\frac{\delta }{\delta v} (\frac{c}{\sqrt{c^2 -v^2} } - 1 )][/tex]

              [tex]= mc^2 [c* [\frac{\delta }{\delta v} (c^2 - v^2 )^{-\frac{1}{2} }] - 0][/tex]

             [tex]= mc^3 [- \frac{1}{2} (c^2 - v^2 )^{-\frac{3}{2} } * (-2v)][/tex]

             [tex]= \frac{mc^3 v}{(c^2 - v^2 )^{\frac{3}{2} }}[/tex]

   

Assume that the probability of a driver getting into an accident is 7.1%, the
average cost of an accident is $14,886.05, and the overhead cost for an
insurance company per insured driver is $110. What should the driver's
insurance premium be?
O A. $1276.27
O B. $1242.93
O C. $1165.49
O D. $1156.43

Answers

Answer:

C - $1165.49

Step-by-step explanation:

We have that the probability of a driver getting into an accident = 7.1% i.e. 0.071.

Now, the average cost of an accident = $14,886.05

Then, the expected cost of an accident =  $14,886.05 × 0.071 = $1056.91

As, the overhead cost for insurance = $110

Therefore, the driver's insurance premium = $1056.91 + $110 = $1166.91

Since, the closest option to $1166.91 is option C.

Hence, the driver's insurance premium will be $1165.49.

the driver's insurance premium will then be,

⇒ $1166.91

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Now, The following can be deduced from the question:

Average cost of an accident = $14,886.05

Probability of a driver getting into an accident = 7.1%

                                                                       = 7.1/100

                                                                       = 0.071.

Overhead cost for insurance = $110

Therefore, the expected cost of an accident will be calculated as:

= Average cost of an accident × Probability of a driver getting into an accident

= $14,886.05 × 0.071

= $1056.91

Therefore, the driver's insurance premium will then be:

= $1056.91 + $110

= $1166.91

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ5

A soccer league has 180 players. Of those players 50% are boys. How many boys are in the soccer league?

Answers

Answer:

90 boys

Step-by-step explanation:

There are 180 players

Multiply by the percent that are boys to find the number of boys

180 * 50%

180 * .50

90

Answer:

90 boys

Step-by-step explanation:

The soccer league has 180 players, and 50% or half are boys.

Multiply the total number of players in the league by the percent that are boys.

total number of players * percent of boys

180* 50%

Convert 50% to a decimal by dividing by 100, or moving the decimal place 2 spaces to the left.

50/100=0.50

50.0–>5.0–>0.50

180*0.50

Multiply

90

There are 90 boy soccer players in the league.

What is the mode of this set of data?

Answers

Answer:

The mode is 15

Step-by-step explanation:

The mode is the number which appears most often in a set of numbers. Example: in {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6 (it occurs most often).

Answer:

The mode of this set is 15.

Step-by-step explanation:

the mode is 15 bcoz 15 is repeated two times where as other numbers aren't repeated..

Which is equivalent to 8−+3
8
x
-
y
+
3
x
?

Answers

Answer:

DIDNT UNDERSTAND THE QUESTION PROPERLY BRO..

KEEP THE QUESTION AGAIN

Need more information.
Do you mean...
“Which is equivalent to -8 + 3?”

Isabella averages 152 points per bowling game with a standard deviation of 14.5 points. Suppose Isabella's points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(152,14.5)______.
If necessary, round to three decimal places.
Suppose Isabella scores 187 points in the game on Sunday. The z-score when x=187 is ___ The mean is _________
This z-score tells you that x = 187 is _________ standard deviations.

Answers

Answer:

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 152, \sigma = 14.5[/tex]

The z-score when x=187 is ...

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

[tex]Z = \frac{187 - 152}{14.5}[/tex]

[tex]Z = 2.41[/tex]

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

If an icecream cone starts at $2 and an additional $0.50 for each scoop, what is
the cost of a 3-scoop cone?

Answers

Answer:

$3.50

Step-by-step explanation:

$2 + (3 x $0.50) = x

$2 + $1.50 = x

x = $3.50

Answer:$3:50

Step-by-step explanation: 2+0.50+0.50=3+0.50=$3.50

The population of Boomtown is currently 3000 and expected to grow by 2.3% over the
next year. What will its population be by then?


The population of Dullsville, on the other hand, is currently 13000 and expected to
decrease by 4.1% over the next year. What will its population be by then?​

Answers

Answer:

a) The Expectation of the Population  to grow in the next year

                         = 3069

b) The Expectation of the Population decrease in the next year

                         = 12,467

Step-by-step explanation:

Explanation:-

a)

The population of Boom town is currently 3000

Given expected to grow by 2.3 % over the  next year

                  = [tex]3000 X \frac{2.3}{100} = 69[/tex]

                  = 69

The Expectation of the Population growth in the next year

                         = 3000 +69 = 3069

b)

The population of town is currently 13000

Given expected to grow by 4.1 % over the  next year

                  = [tex]13000 X \frac{4.1}{100} = 533[/tex]

 

The Expectation of the Population decrease  in the next year

                         = 13000 - 533 = 12,467

Use z scores to compare the given values. Based on sample​ data, newborn males have weights with a mean of 3259.6 g and a standard deviation of 722.4 g. Newborn females have weights with a mean of 3031.2 g and a standard deviation of 495.9 g. Who has the weight that is more extreme relative to the group from which they​ came: a male who weighs 1700 g or a female who weighs 1700 ​g? Since the z score for the male is zequals nothing and the z score for the female is zequals nothing​, the female female male has the weight that is more extreme.

Answers

Answer:

Since the z score for the male is z=-2.1589 and the z score for the female is z=-2.6844​, the female has the weight that is more extreme.

Step-by-step explanation:

To find the z score, we use the following equation:

[tex]z=\frac{x-m}{s}[/tex]

Where m is the mean and s is the standard deviation.

So, the z score for a male who weighs 1700 g is:

[tex]z=\frac{1700-3259.6}{722.4}=-2.1589[/tex]

At the same way, the z score for a female who weighs 1700 g is:

[tex]z=\frac{1700-3031.2}{495.9}=-2.6844[/tex]

Finally, -2.6844 is farther from zero than -2.1589, so the female has the weight that is more extreme.

HI!!! CAN SOMEONE HELP ME ON GRAPHING THIS? THANKS, i WILL GIVE YOU 5 STARS AND OTHERS: f(x) = sin(x) – 5

Answers

Answer:

The graph is shown below.

Step-by-step explanation:

The trigonometric expression is:

[tex]f(x)=sin\ (x)-5[/tex]

The general form is:

[tex]f(x)=a\ \text{sin}\ (bx-c)+d[/tex]

Comparing the two expression we know:

a = 1

b = 1

c = 0

d = -5

Compute the value of amplitude, |a | as follows:

[tex]\text{Amplitude}=|a|=|1|=1[/tex]

Compute the period of the function as follows:

[tex]\text{Period}=\frac{2\pi}{|b|}=\frac{2\pi}{|1|}=2\pi[/tex]

Compute the phase shift as follows:

[tex]\text{Phase Shift }=\frac{c}{b}=\frac{0}{1}=0[/tex]

The vertical shift is:

[tex]\text{Vertical Shift}=d=-5[/tex]

The properties of the trigonometric function are:

Amplitude = 1

Period = 2π

Phase shift = 0

Vertical shift = -5

Plot the graph of the trigonometric function by selecting a few points.

   x :  [tex]0[/tex]      [tex]\frac{\pi}{2}[/tex]     [tex]\pi[/tex]     [tex]\frac{3\pi}{2}[/tex]    [tex]2\pi[/tex]

f (x) : -5    -4    -5    -6    -5

The graph is shown below.

Anyone know how to solve this

Answers

Answer:

Y=1800+150x

Step-by-step explanation:

Answer:

4. Y = 150x + 1800  

Find the 1000th term for the sequence

Answers

Answer:

D. 7017

Step-by-step explanation:

if 24 is the first term, find 7x999, or 7x1000-7 and add 24

however a better way would be to use the formula

value=a+(n-1)d

a = the first term in the sequence (24)

n     =     the amount of terms you need (1000)

d = the common difference between terms (7)

Solve the inequality for y.

Answers

-4y ≤ -12

Divide both sides by -4:

y ≤ 3

Because both sides were divided by a negative value you need to reverse the inequality sign:

y ≥ 3

Answer:

y = 3

Step-by-step explanation:

it says -4y ≤ -12 sooooooo    4 x 3 = 12!!!! so y = 3

6x +7y=-46 3x-2y=32 solve this system of linear equations

Answers

Hello

We have two equations and need to find x and y

(1) 6x+7y=-46

(2) 3x-2y=32

multiply (2) by 2 it gives

(2') 6x-4y=64

(1) - (2') gives

6x+7y-6x+4y=-46-64 = -110

so 11y = -110

y = -10

replace in (2) it gives

3x+20=32

3x=12

x = 12/3 = 4

the solution is (4,-10)

do not hesitate if you need further explanation

if you like my answer, tag it as the brainliest :-)

Determine the interest earned on a 3 and 1/4 year investment of $2880 at a rate of 4.5%

Answers

Answer:

The interest earned is $421.2.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question:

[tex]P = 2880, I = 0.045, t = 3 + \frac{1}{4} = 3.25[/tex]

So

[tex]E = P*I*t[/tex]

[tex]E = 2880*0.045*3.25[/tex]

[tex]E = 421.2[/tex]

The interest earned is $421.2.

A 120-gallons (gal)tank initially contains 90 lb of a salt dissolved in 90 gal of water. Brine containing 2 lb/gal of salt flows into the tank at the rate of 4gal/min. The mixture is kept uniform by stirring, and the stirred mixture flows out at the rate of 3gal/min. How much salt does the tank contain when it is full

Answers

Answer:

The tank will contain 202 Ib of salt when it's full.

Step-by-step explanation

To find the amount of salt in the tank at time t= x(t)

If x(0)= 90Ib

To find the volume of the tank at time t

V(t)= 90+(4-3)t=90+t gal

Other solutions are found attached

5. (03.02 MC)
If f(x) = 2х2 - 30, find f(4). (1 point)
НА
Мен
ка
ООО
Амер
-14
2
o17

Answers

Answer:

f(4) =2

Step-by-step explanation:

f(x) = 2х^2 - 30,

Let x=4

f(4) = 2 (4)^2 -30

     = 2*16 -30

       =32-30

      = 2

The functions s and t are defined as follows. s(x)=3x-4 t(x)=-5x+3 Find the value of s(t(-1)).

Answers

t(x)=-5x+3

t(-1)=-5*(-1)+3=5+3=8

s(x)=3x-4

s(t(-1))=s(8)=3*8-4=24-4=20

answer is 20

Other Questions
Cuales son las partes de la cancion Viernes 13 de Marcos Menchaca Find the value of y. Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 173,4,5,6,6,7,7,12,13,14,14,15,15,16,17Min: Q1: Med: Q3: Max: I need help please!! Identify the solution for the system of equations graphed here. A. (1,1)B. (-1,1)C. (1,-1)D. (-1,-1) Please help! 100 points! What are some ways that the nitrogen cycle overlaps with or influences the oxygen and carbon cycles?Are any of these interactions between the cycles positive?Are any negative?What about when the nitrogen cycle is thrown off balance by the Haber-Bosch process and others like it?How can that influence the oxygen and carbon cycles?Are there other cycles involved that have not been mentioned in this question?What does this discussion suggest about the nature of the Earth as one large system? Which expressions have a positive product? *(5)(0.2)(1.9)(9)(2.14)(1.6)(14)(6.3)(8.7)(0.7)(8.5)(0.4)(2.7) The force of gravity pulls all objects downwards. Which of these statements is correct about this law of science? A. It is not supported by observations B. It can be contradicted by data C. It requires no further experimentations to determine its existence D. It is a description in nature that will continue to change Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 380 pounds. Agriculture scientists believe that the new fertilizer may change the yield. State the appropriate null and alternative hypotheses. The French established a permanent fort in the early 1700's in what present day African country?? The exponent in 8n5 is: Which of the following factors will most likely limit the light-dependent reactions of photosynthesis?A. Light intensity and light qualityB. Temperature and light intensityC. Carbon dioxide concentration and light qualityD. Carbon dioxide concentration and temperature solve tan x - cot x = -2cos 2x cosec 2x Given: 3x < -6. Choose the solution set.A. {x | x < -2}B. {x | x > -2}C. {x | x < 2}D. {x | x > 2} Help please!How does the function f(x)=x^24x21 illustrate the Fundamental Theorem of Algebra?Fill in the blanks. (Hint: Your answers are numbers.)The degree of f(x) is _____. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly _____ zeros. Those zeros are 7 and _____. In two to three sentences, answer the following:What information you can obtain from a stock quote? Spud, Inc. a manufacturer of gourmet potato chips, employs activity-based costing. The budgeted data for each of the activity cost pools is provided below for the year 2017 Estimated Overhead Expected Use of Cost Drivers per Activity Activity Cost Pools Ordering and receiving Food processing Packaging $94,582 479,085 13,100 orders 61,500 machine hours 1,395,280 428,000 labor hours For 2017, the company had 11,300 orders and used 51,200 machine hours, and labor hours totaled 491,000 Calculate the overhead rates for each activity. (Round answers to 2 decimal places, e.g. 12.25.) Overhead Rates Ordering and receiving Food processing Packaging 7.22 per order 7.79 per machine hour 3.26 per labor hour What is the total overhead applied?Total overhead applied $ Prepare the year-end adjusting journal entry to record the bad debts using the aged uncollectible accounts receivable determined above. Assume the unadjusted balance in Allowance for Doubtful Accounts is a $3,600 debit. (Credit account titles are automatically indented when amount is entered. Do not indent manually.) Account Titles and Explanation Debit Credit enter an account title for the adjusting entry to record the bad debts Bad Debt Expense enter a debit amount enter a credit amount enter an account title for the adjusting entry to record the bad debts Allowance for Doubtful Accounts Find the slope of the line that passes through (5, 9) and (2, 2). will mark brainSimplify your answer and write it as a proper fraction, improper fraction, or integer. The diameter of a circle is 40 m. Find the area of the circle in terms of . 40 m2 80 m2 400 m2 160 m2 i) A fish tank measures 1m long by 40cm wide and 60cm height.What is the capacity of the fish tank?ii) How many litres of water does it take to fill it three quarters full ?