21 = 1/4x what is x.

Answers

Answer 1
The answer is x=84
I typed it into desmos
Answer 2

Answer:

84

Step-by-step explanation:

Hello there!

We could solve this with an equation, but just think about it. The given expression shows that 21 is 1/4 of x. So just multiply 21 by 4 and get 84.

;)


Related Questions

What is the theoretical probability of the spinner landing on Elisondra’s section?

Answers

Answer:

1/4

Step-by-step explanation:

Just did this.

Which is the simplified form of the expression?

Please help!

Answers

Answer:

A

Step-by-step explanation:

James spends 45 minutes taking caring of Mr Silva's dog .Then,he spends 25 minutes folding laundry. Next ,he spends 20 minutes cleaning his room.How long does it take James to do all of his chares?

Answers

1 hour 30. or 90 minutes :)
You would add all the numbers up.

45 + 25 + 20 = 90

Therefore it takes James 90 mins to do his chores or an hour and a half.

whats is 224 + 253 add and ill mark you brainleist for the fast quick right answer

Answers

Answer:

I dont like math no fair

Answer:

477 :)

Step-by-step explanation:

For math definetly reccommened photo math it is a app that only works on apple but will be the greatest help and always has right answer cause it is high quality app but if you have a apple product then it will be free

Tickets numbered 1 to 20 are placed in a hat. Two tickets are drawn out at random, without
replacement. Find the probability that:
a: the first number drawn is even and the second number is odd
b: both of the numbers are prime.
-please help include explanation too, it would be really helpful if u can!-

Answers

Answer:  5/19

Step-by-step explanation:

There is a  total of 20 tickets numbered from 1 to 20.

10 of the tickets has even number and 10 of the tickets have odd numbers.

probability of drawing a ticket that has even number =10/20 which is equal to 1/2

there are total 19 tickets and 10 odd tickets are available.

Probability of drawing a ticket that has odd number =1019

probability =1/2∗10/19=5/19

Answer:

a. 5/19, b. 14/95

Step-by-step explanation:

a. since the first number drawn has 10/20 chance of being even and it's not put back (you assume that you pull an even #), so the second number pulled has a 10/19 chance of being odd.

10/20*10/19 = 5/19

b. 2, 3, 5, 7, 11, 13, 17, 19 are the prime numbers, so 8/20 for the first pull and then 7/19 for the second pull

8/20*7/19 = 14/95

On a coordinate plane, a parabola opens up with solid circles along the parabola at (negative 6, 5), (negative 5, 0), (negative 4, negative 3), (negative 3, negative 4), (negative 2, negative 3), (negative 1, 0), (0, 5).
What is the vertex of the parabola in the graph?



(
,
)

Answers

Answer:

the answer is (-3,-4)

Step-by-step explanation: -3, -4

The vertex of the parabola is (-3, -4)

what is parabola?

A parabola is defined as a set of points in a plane which are equidistant from a straight line or directrix and focus.

Given:

The solid circles along the parabola are:

(-6, 5), (-5, 0), (-4, -3), (-3, -4), (-2, -3), (-1, 0), (0, 5).

As, the minimum point of y occurs at (-3, -4).

So, the x-intercept of the parabola is

x=-5 or x=-1

x+5=0 or x+1=0

(x+5)(x+1)=0

x² + 6x+ 5 =0

Now, vertex of equation at axis of symmetry x= -b/2a

x= -6/2 = -3

and, f(-3)= -3 * (-3) + 6(-3) + 5

f(-3)= -4

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find, to the nearest inch, the volume of a circular cone with a radius of 12 inches and a slant height of 20 inches. include step by step process. HELP PLEASE ASAP

Answers

We have been given that a cone has a radius of 12 inches and slant height of 20 inches. We are asked to find the volume of the cone.

We will use volume of cone formula to solve our given problem.

[tex]V=\frac{1}{3}\pi r^2\sqrt{l^2-r^2}[/tex], where

V = Volume of cone,

r = Radius,

l = Slant height.

Upon substituting our given values in volume formula, we will get:

[tex]V=\frac{1}{3}\pi\cdot 12^2\cdot \sqrt{20^2-12^2}[/tex]

[tex]V=\frac{1}{3}\pi\cdot 144\cdot \sqrt{400-144}[/tex]

[tex]V=48\pi\cdot\sqrt{256}[/tex]

[tex]V=48\pi\cdot16[/tex]

[tex]V=2412.743157[/tex]

[tex]V\approx 2412.74[/tex]

Therefore, the volume of the cone is approximately 2412.74 cubic inches.

If Casey places $890 in a savings account,
how much interest will he earn in 12 years at a
5% simple interest rate?

Answers

Answer:

$534

Step-by-step explanation:

Simple Interest formula:   I = Prt

I = $890 * (0.05)* 12

I = $534

Answer:

Step-by-step explanation:

534

The graph shows the function g(x) for a restricted domain.

On a coordinate plane, a function starts at (negative 4, 0) and then curves through the y-axis at (0, 1.5) and then goes through point (4, 2).

Which is the function g(x) for a restricted domain?

g(x) = Negative RootIndex 3 StartRoot x minus 4 EndRoot; x greater-than-or-equal-to –4
g(x) = Negative RootIndex 3 StartRoot x 4 EndRoot + 4; x greater-than-or-equal-to 0
g(x) = Negative RootIndex 3 StartRoot x + 4 EndRoot; x greater-than-or-equal-to –4
g(x) = Negative RootIndex 3 StartRoot x EndRoot minus 4; x greater-than-or-equal-to 0

Answers

Answer:

Option 3

g(x) = Negative RootIndex 3 StartRoot x + 4 EndRoot; x greater-than-or-equal-to –4

Step-by-step explanation:

Since the graph starts at x = -4 and towards the right, domain is x 》-4

g(x) = -(x + 4)^⅓

Because,

0 = -(-4 + 4)^⅓

0 = 0

Final answer:

The function g(x) for the restricted domain is g(x) = -∛(x-4); x ≥ -4.

Explanation:

The function g(x) for the restricted domain can be determined by analyzing the given information. The function starts at (-4, 0) and curves through the y-axis at (0, 1.5) before passing through point (4, 2). Based on this, the correct function is g(x) = -∛(x-4); x ≥ -4.

Learn more about Function graph here:

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find the 11th term for : 64, -32, 16, -8
A . -.625
B. 0.625
C. .03125
D. -.03125​

Answers

Answer:

0.0625 is what i got

Step-by-step explanation:

64, -32, 16, --8, 4, -2, 1, -.5, .25, -.125, 0.0625

I need help with everything.

Answers

Step-by-step explanation:

5. 102 = 6( 1 + 4p)

102 = 6 + 24p

102 - 6 = 24p

96 = 24p

96/ 24 = p

4 = p

Evaluate ab + 5c - d. If a =3, b=2, c=7, and d=4Immersive Reader
(1 Point)

Answers

Answer:

46

Step-by-step explanation:

a:3, b:2 , c: 7 and d:4

ab + 5c - d

(3*5) + 5(7) - 4

(15 + 35) -4

50- 4 :46

Answer:

37.

Step-by-step explanation:

ab + 5c - d

= 3*2 + 5*7 - 4

= 6 + 35 - 4

= 37.

which trend is the plot

Answers

Answer:

positive trend

Step-by-step explanation:

the points are all positive

Answer: it shows no trend they’re all scattered and there is no straight line

Step-by-step explanation:

X^2-x-20 how do I write that in factored form

Answers

Answer:

(x+4)(x-5)

Step-by-step explanation:

You need to find two numbers that multiply to be -20 but add up to be -1.

Answer:

( x - 5 ) ( x + 4 )

Step-by-step explanation:

When solving quadratic equations it's important to remember that they have 2 solution. We need to work out the factors, sum and the products to successfully factorise the quadratic and solve it. So,

x² - x - 20 = 0

Sum = -1

Product = -20

So we need two numbers that sum to -1 and multiply together to make -20

Factors = -5 and 4

x² - 5x + 4x - 20

Factor x² - 5x and 4x -20 separately

x² - 5x = x ( x - 5 )

4x - 20 = 4 ( x - 5 ) So

x ( x - 5 ) + 4 ( x - 5 )

We can see a common factor of  ( x - 5 ) and the other bracket would be       ( x + 4)

( x - 5 ) ( x + 4 )

A house was bought for £100,000
Its value appreciates by 7.5% each year for the Nirst three years. What was its value at the end of the three years?

Answers

Answer:

122500

Step-by-step explanation:

The formula

A=p(1+rt)

A ?

P 100000

R 0.075

T 3 years

A=100,000×(1+0.075×3)

A=122500

Final answer:

The value of the house at the end of three years would be approximately £123,696.47.

Explanation:

To find the value of the house at the end of three years, we need to calculate the appreciation for each year and add it to the original value. Since the value of the house appreciates by 7.5% each year, we can calculate the value after three years using the formula:

New Value = (1 + Rate of Appreciation) * Original Value

Let's calculate:

New Value after first year = (1 + 0.075) * £100,000 = £107,500New Value after second year = (1 + 0.075) * £107,500 = £115,062.50New Value after third year = (1 + 0.075) * £115,062.50 = £123,696.47

The value of the house at the end of the three years would be approximately £123,696.47.

In a game, four cards are labeled N, S, E, and W. Two tiles are numbered 1 and 2. Two discs are red and blue. A player randomly selects one card, one tile, and one disc.
Find the probability the player selects a card with S or E, a tile with 2, and a red disc.

Answers

Answer:

The probability is 1/8.

Step-by-step explanation:

Two find the final probability asked, first we need to find each probability.

Probability of a card with S or E.

This probability is defined by the sum of the probability of getting a card with S, and a probability of getting a card with E. Remeber, when the probability involves "or", that means sum.

[tex]P_{S \ or \ E} =\frac{1+1}{4}=\frac{2}{4} =\frac{1}{2}[/tex]

Probability of a tile with 2.

There are two tiles only, and one of them is numbered 2. So, its probability is

[tex]P_{2}=\frac{1}{2}[/tex]

Probability of a red disc.

There are two discs only. So, the probability of getting a red disc is

[tex]P_{red}=\frac{1}{2}[/tex]

Now, the combined probabilty of all these events can be found by multiplying,  because we want to now the chances of getting all these results which are independent.

[tex]P_{total}=\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} =\frac{1}{8}[/tex]

Therefore, the probability is 1/8.

A number cube has faces numbered 1 through 6, and a coin has two sides, "heads" and "tails". The
number cube will be rolled once, and the coin will be flipped once. Find the probability that the
number cube shows a 6 or the coin shows "heads." (Express your answers as fractions in lowest
terms.)

Answers

Answer:

The required probability is [tex]\dfrac{1}{12}[/tex].

Step-by-step explanation:

Let A be the event of rolling the number cube.

Let B be the event of tossing the coin.

Total number of possibilities of rolling the number cube and tossing the coin are 12 here.

[tex]\{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]

where H means Head on toss of coin and T means Tails on toss of coin.

Formula for probability of an event E is:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.

Number of favorable cases are 1 and total cases are 12.

[tex]\Rightarrow P(E) = \dfrac{1}{12}[/tex]

Explain why a polar curve is not always bounded

Answers

Answer:

vvvvvvvvvv

Step-by-step explanation:

there are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. a polar curve is required to have an unbounded function (right side of r = f(θ)) to be an unbounded polar.

Answer:

There are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. A polar curve is required to have an unbounded function (right side of r = f(θ)) to be an unbounded polar.

be safe and have a day

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⊕ΘΞΠΤ⊕  

∵∴∵∴∵∴∵∴∵

Can someone please help me with 10,11,and 12 I WILL MARK BRAINLIEST!!!

Answers

Answer:

10 is acute

11 is a right

12 obtuse

Step-by-step explanation:

For his craft project, James bought 1010 10 10 pieces of ribbon that were each 2.1 feet2.1\text{ feet} 2.1 feet 2, point, 1, start text, space, f, e, e, t, end text long. How many total yards of ribbon did James buy?

Answers

Final answer:

To find the total yards of ribbon, convert the length of each piece of ribbon from feet to yards and multiply it by the total number of pieces. James bought 707 yards of ribbon.

Explanation:

To find the total yards of ribbon, we need to convert the length of each piece of ribbon from feet to yards and then multiply it by the total number of pieces.

Since 1 yard is equal to 3 feet, we can use the conversion factor of 1 yard/3 feet to convert each piece of ribbon from feet to yards.

2.1 feet x (1 yard/3 feet) = 0.7 yards

Now, we can multiply the converted length of each piece of ribbon (0.7 yards) by the total number of pieces (1010) to find the total yards of ribbon:

0.7 yards x 1010 = 707 yards

Therefore, James bought a total of 707 yards of ribbon.

44 cm
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
25 cm
24 cm
14 cm


can you help me?

Answers

Answer:

Step-by-step explanation:

120 and 56

Finding Surface Area

Find the total surface area of the prism. Round to the nearest tenth.

Answers

Answer:

672 squared in.

Step-by-step explanation:

first, we're going to find the height of the prism (it's not provided to us)

im using the Pythagorean Therm .

height: 8 in.

(i got lazy)

look at the graph and tell me why it is proportional or nonproportional and why?
IF YOU ANSWER I WILL MARK U BRANLYEST

Answers

Answer:

I think it is not proportional because the line is supposed to go thro the middle of each dot, and some of the dots don't have a line thro the middle only on the side or not even on the dot.

Hope this helps!

Step-by-step explanation:

please mark me brainliest...

PLEASE HELP ME 30POINTS +BRAINLY

Answers

1) If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is [tex]\frac{1}{6}[/tex].

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex].

Here are two more examples:

If a coin is flipped twice, determine the probability that it will land heads both times:

Favorable outcomes: 1 -- HH

Possible outcomes: 4 -- HH, HT, TH, TT

Thus, the probability that the coin will land heads both times is [tex]\frac{1}{4}[/tex].

If Dan grabs one sock from a drawer containing 3 white socks, 4 blue socks, and 5 yellow socks, what is the probability that he will grab a white sock?

Favorable outcomes: 3 (3 white socks)

Possible outcomes: 12 (3 white socks + 4 blue socks + 5 yellow socks)

Thus, the probability that Dan will grab a white sock is [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex].

2x3 to the second power plus 5 to the second power

Answers

Answer: 43

Multiply

3×3=9

New Problem: (2)(9)+5²

Multiply

2×9=18

New Problem: 18+5²

Multiply

5×5=25

New Problem: 18+25

Add

18+25=43

Answer:

it would be 43 :)

Step-by-step explanation:

first you have to do 3 squared which is 9 then you multiply it by 2. Then square 5 which is 25 and add 25 +18+ 43

What is the length of side XY as shown on the coordinate plane?
O units
1 units
3 units
4 units

Answers

after a long and intense thinking of 2 seconds it's 4 units

Two 10 pound forces act on the same object at the same time. Find the
magnitude of their resultant if 135° is between the two forces.

Answers

Final Answer:

The magnitude of the resultant force when two 10 pound forces act on the same object 135° apart is approximately 18.47 pounds.

Explanation:

To find the magnitude of the resultant force when two forces are acting at an angle to each other, we can use the law of cosines. In this scenario, we have two forces each of 10 pounds acting on an object with an angle of 135° between them. Let's denote the forces as F1 and F2, both of which have magnitudes of 10 pounds. The angle between them is θ = 135°.

The formula for the resultant force R when two forces act at an angle θ is:


[tex]\[ R = \sqrt{F1^2 + F2^2 + 2 \cdot F1 \cdot F2 \cdot \cos(θ)} \][/tex]


In our case:

[tex]\[ F1 = F2 = 10 \, \text{pounds} \][/tex]

[tex]\[ θ = 135° \][/tex]

Plugging these values into the formula, we get:

[tex]\[ R = \sqrt{10^2 + 10^2 + 2 \cdot 10 \cdot 10 \cdot \cos(135°)} \][/tex]

[tex]\[ R = \sqrt{100 + 100 + 200 \cdot \cos(135°)} \][/tex]

The cosine of 135° is -√2/2 (since 135° is in the second quadrant where the cosine is negative):

[tex]\[ R = \sqrt{200 - 200 \cdot \frac{-\sqrt{2}}{2}} \][/tex]

[tex]\[ R = \sqrt{200 + 100\sqrt{2}} \][/tex]


[tex]\[ R = \sqrt{200 + 100 \cdot 1.414} \] (Since √2 is approximately 1.414)[/tex]

[tex]\[ R = \sqrt{200 + 141.4} \][/tex]


[tex]\[ R = \sqrt{341.4} \][/tex]

[tex]\[ R \approx 18.47 \text{ pounds} \][/tex]



Therefore, the magnitude of the resultant force when two 10 pound forces act on the same object 135° apart is approximately 18.47 pounds.

The paper cup is 9 cm tall and the circular opening has a radius of 2.5 cm.

What is the minimum amount of paper needed to make the paper cup to the nearest whole cm² assuming no overlap in the paper?

Answers

Final answer:

The minimum amount of paper needed to make the paper cup to the nearest whole cm² is approximately 283 cm².

Explanation:

To find the minimum amount of paper needed to make the paper cup, we need to calculate the surface area of the cup. The formula for the surface area of a cylinder is:

A = 2πrh + π[tex]r^2[/tex]

Given that the height (h) of the cup is 9 cm and the radius (r) of the circular opening is 2.5 cm, we can plug in the values to calculate the surface area:

A = 2 × 3.14159 × 2.5 × 9 + 3.14159 × [tex]2.5^2[/tex]

Simplifying the equation, we get:

A ≈ 282.74 [tex]cm^2[/tex]

Rounding to the nearest whole , the minimum amount of paper needed is approximately 283 [tex]cm^2.[/tex]

if a scientist is able to use 4 kilograms of fertilizer for 5 weeks how much fertilizer did they use each week

Answers

Answer:

0.8 kilograms of fertilizer

Step-by-step explanation:

Looking at the data given to us in a fraction form, we can imagine:

4 kilograms / 5 weeks

To find out how many kilograms of fertilizer was used each week, we're going to divide that fraction out, so we're going to do 4 divided by 5. Dividing this will give you:

0.8 kilograms

Therefore your answer is that they use .8 kilograms of fertilizer each week.

Answer:

6

Step-by-step explanation:

Takiya recorded the heights of two sets of plants, one set planted in the shade and one set planted in full sun. Her data are shown in the plots below.

A dot plot. A number line going from 1.5 to 4.5 in increments of 0.5 is labeled Heights of Shaded plants (inches). There are 0 dots above 1.5, 4 above 2, 3 above 2.5, 2 above 3, 0 above 3.5 and 4, and 1 above 4.5.
A dot plot. A number line going from 1.5 to 4.5 in increments of 0.5 is labeled Heights of Full Sun plants (inches). There are 0 dots above 1.5, 1 above 2, 0 above 2.5, 2 above 3, 0 above 3.5, 4 above 4, and 3 above 4.5.
Which best explains the variability of the sets?
The shaded plants set has greater variability because more data is clustered around the median.
The sets are equally variable because the ranges of the data sets are equal.
The full sun plants set has greater variability because the IQR for full sun plants is greater.

Answers

Question;

1) The shaded plants set has greater variability because more data is clustered around the median.

2) The sets are equally variable because the ranges of the data sets are equal.

3) The full sun plants set has greater variability because the IQR for full sun plants is greater.

Answer:

The correct option is;

3) The full sun plants set has greater variability because the IQR for full sun plants is greater

Step-by-step explanation:

To answer the question, we present the dot plot as follows;

Heights of Shaded plants (inches)

          0       4      3       2      0       0             1

0       1.5      2     2.5     3     3.5     4           4.5

We calculate the five numbers as follows;

Max = 4.5

Min = 2

1st quartile = (10+1)/4 th term = 2

2nd quartile (Median) = (10+1)/2 th term = 2.5

3rd quartile = 3×(10+1)/4 th term = 3

Interquatile range (IQR) = Q₃ - Q₁ = 3 - 2 = 1

Where:

Q₁ = 1st quartile

Q₃ = 3rd quartile

Heights of Full Sun plants

0     1      0      2      0       4         3

1.5   2    2.5    3     3.5     4        4.5

We calculate the five numbers as follows;

Max = 4.5

Min = 2

1st quartile = (10+1)/4 th term = 3

2nd quartile (Median) = (10+1)/2 th term = 4

3rd quartile = 3×(10+1)/4 th term = 4.5

Interquatile range (IQR) = Q₃ - Q₁ = 4.5 - 3 = 1.5

The interquartile range, IQR, is a measure of variability

Therefore, the full sun plants set has greater variability because the IQR for full sun plants is greater.

Other Questions
The map shows the world's largest urban areas in 2013.World's Largest Urban Areas (2013)Moscow, RussiaBeijing, China,Tokyo, JapanLos Angeles,United StatesDelhi, India New YorkUnited StatesMexico City, Mexico*Karachi, PakistanMumbai, IndiaKolkata, IndiaOsaka, JapanShanghai, ChinaGuangzhou, ChinaManila, PhilippinesBangkok, ThailandDhaka, BangladeshJakarta, IndonesiaSao Paulo, Brazil* Capital cityBased on the map, which statement is correct regarding the world's cities? Which two french explorers helped claim and settle canda? Read the scenario and answer the question that follows.Javier is writing to support his claim that habitat conservation is the most important environmental issue today.Which statement should Javier add to his argument if he wants to use an emotional appeal?Dr. Yareli, a botanist, believes that change is needed.If species continue to go extinct, the world will be a sadder, lonelier place.Study after study shows that animals are losing habitat.Wetlands consist of marshes and swamps and are home to many animal species.The answer is B please help its in math A new alloy is made by mixing 72 grams of iron with 9 grams of zinc. How many grams of iron are required to make the alloy when combined with 144 grams of zinc?A)992 gramsB)1,152 gramsC)1,226 gramsD)1,445 grams 5 cups of grape juice to 2 cups of apple juicefind the unit rate suppose the null hypothesis is rejected. state the conclusion based on the results of the test. six years%E2%80%8B ago, 11.4% of registered births were to teenage mothers. a sociologist believes that the percentage has increased since then. which of the following is the correct%E2%80%8B conclusion? a. there is sufficient evidence to conclude that the percentage of teenage mothers has increased. b. there is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same. c. there is not sufficient evidence to conclude that the percentage of teenage mothers has increased. d. there is sufficient evidence to conclude that the percentage of teenage mothers has remained the same. Of the marbles in a bag, 4 are yellow, 5 are blue, and 4 are red. Sandra will randomly choose onemarble from the bag. Fill in the blanks in parts a and b.a. The probability that Sandra will choose a red marble from the bag isout of 17 or AIDS was officially named in the 1980s.Please select the best answer from the choices provided. what is the adjetive of weather and climate are different things. Which procedure took the DNA from one sheep to produce a genetically identical lamb, named Dolly an insulated tote bag has a volume of 972 cubic inches. if the base of the tote bag is a square with an area of 81 square inches what is the height once a business determines its target market, it should not change its target market solve for x x/25 > 5 The allele for brown fur in mice (B) is dominant over the allele for white fur (b).The fur color of one mouse is represented by Bb.What is the genotype of this mouse?What is the phenotype of this mouse? Which of the following statements about nuclear energy is true?a. Nuclear energy cannot be contained nor controlled.b. Nuclear energy is contained in nuclear bonds.c. Nuclear energy is less efficient than other energy forms.d. All of the above are true.Please select the best answer from the choices provided Please answer this correctly Bonita Industries estimates its sales at 160000 units in the first quarter and that sales will increase by 27000 units each quarter over the year. They have, and desire, a 25% ending inventory of finished goods. Each unit sells for $25. 40% of the sales are for cash. 70% of the credit customers pay within the quarter. The remainder is received in the quarter following sale. Cash collections for the third quarter are budgeted ata.$2981500.b.$4387000.c.$5228500.d.$6613938. Explain how Maslow's Hierarchy of Needs played a significant role in the origins of the Harlem Renaissance. The mean number of sick days per employee taken last year by all employees of a large city was 10.6 days. A city administrator is investigating whether the mean number of sick days this year is different from the mean number of sick days last year. The administrator takes a random sample of 40 employees and finds the mean of the sample to be 12.9. A hypothesis test will be conducted as part of the investigation. Which of the following is the correct set of hypotheses?A. H0:=10.6Ha:>10.6 AB. H0:=10.6Ha:10.6 BC. H0:=10.6Ha: Steam Workshop Downloader