Anyone know the answer to these?

Anyone Know The Answer To These?

Answers

Answer 1

Step-by-step explanation:

Speakers =£ 31.5

Headphones =£ 4.8

Book =£ 3.85

Mobile phone =£ 36

mouse = £12.75

DVD =£ 10.2

Hope it will help you :)


Related Questions

Huma hubna and seema recieved a total of rs 2016 as monthly allowance from their mother such that seema gets 1/2 og what huma gets and hubna gets 1 2/3 times seemas share how much do the three sisters get individually

Answers

Answer:

huma's share= Rs.864

Seema's share= Rs.432

Hubna's share= Rs.720

Step-by-step explanation:

Considering 'x' as the share of huma

Therefore , Seema's share will be x/2

And Hubna's share will be 5/3 * x/2 => 5x/6

Total money given in the problem is Rs.2016

In order to find the share of individual, we first have to determine 'x' variable by taking the sum of all shares.

x+x/2+5x/6=Rs.2016

(6x+3x+5x)/6=2016

14x/6=2016

x=2016 * 6/14

x=864.

Therefore,huma's share 'x' will be Rs.864

Seema's share will be = x/2 = Rs.432

And Hubna's share will be = 5x/6= Rs.720

hellplppppppp800x40÷80=

Answers

Answer:

400

Step-by-step explanation:

Answer:

800*400/80=400

Step-by-step explanation:

To work this out you would first start with 40/80. This is because when using BODMAS / BIDMAS you would start with whatever operation that comes first out of all the operations in the question. This gives you 0.5. Then you would multiply 0.5 by 800, this gives you 400.

1) Find what operation you should do first.

B- Brackets

O -Orders

D-Division

M-Multiplication

A-Addition

S-Subtraction

2) Divide 40 by 80.

[tex]40/80=0.5[/tex]

3) Multiply 0.5 by 800.

[tex]0.5*800=400[/tex]

x² +10x+3=0

how do I slove it with the quadratic formula?​

Answers

Answer:

Step-by-step explanation:

The equation is already in standard form [ ax² + bx + c = y ] so we can find the values of each variable.

a = 1

b = 10

c = 3

y = 0

Quadratic formula: [tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Solve using the formula:

[tex]x=\frac{-10+-\sqrt{10^2-4(1)(3)} }{2(1)}[/tex]

[tex]x=\frac{-10+-\sqrt{100 - 12} }{2}[/tex]

[tex]x=\frac{-10+-\sqrt{88} }{2}[/tex]

[tex]x=-5+-\sqrt{22}[/tex]

Therefore, the answer is [ x = -5 ± √22 ]

Best of Luck!

Which animal shelter has the dog that weighs the least?
A)- shelter A
B)- shelter B
C)- Both shelters have a dog with the lowest weight of 8 pounds.
D)- Both shelters have a dog with the lowest weight of 10 pounds.
WILL GIVE BRAINLIEST ANSWER IF YOU ANSWER RIGHT!!!

Answers

Answer:

A_A_A_A_A_A_A_A_A_A_A_A_A_A_

Step-by-step explanation:

on the box chart it shows that shelter A has the lightest dog

hope i helped :D

Answer:

shelter A. shelter B. Both shelters have a dog with the lowest weight of 8 pounds.

Step-by-step explanation:

Hope this helps :)

Which one is bigger 4.5 kg or 4.050

Answers

Answer:

4.5 kg

Step-by-step explanation: if you have 4.050 take off the zero and it is only 4.05 which is less then 4.5 or 4.50

Final answer:

When comparing 4.5 kg to 4.050 kg, 4.5 kg is the larger weight since both are in kilograms and 4.5 is greater than 4.050.

Explanation:

The question asks which number is larger, 4.5 kg or 4.050 kg. In the metric system, weights are compared directly as they are expressed in the same units. Here, we compare 4.5 to 4.050. Since 4.5 can also be thought of as 4.500 when considering the decimal places, it becomes clear that 4.5 kg is the larger value because both represent kilograms, and 4.5 is greater than 4.050.

Marta and Kim are sisters. Five years ago Kim's age was twice as great as martas age. If Marta is no m years old, what expression represents Kim's age now?

Answers

Answer:

y = 2m-5

Kim's age now is y = 2m-5

Step-by-step explanation:

Let m represent martas age now and y represent Kim's age now

Given;

Five years ago Kim's age was twice as great as martas age.

(y-5) = 2(m-5)

Solving for y;

y-5 = 2m-10

y = 2m-10+5

y = 2m-5

Kim's age now is y = 2m-5

Final answer:

Kim's current age is represented by the expression 2m - 5, where m is Marta's current age. This is determined by considering the age difference and relationship of their ages five years ago.

Explanation:

The question is about determining Kim's current age given that Marta is currently m years old and five years ago Kim's age was twice that of Marta's. To solve this, we can follow these steps:

Let's represent Marta's age five years ago as m - 5.

Since Kim's age was twice Marta's age five years ago, we express Kim's age at that time as 2(m - 5).

To find Kim's current age, we add five years to her age at that time: 2(m - 5) + 5.

Simplifying the expression gives us Kim's current age as 2m - 5.

Therefore, the expression that represents Kim's age now, given that Marta is m years old, is 2m - 5.

A triangle has sides of 15 and 27. The measurement of the longest side is missing.
Ted says that one possibility for the unknown side length is 40. Do you agree with Ted? Why or why not?

Answers

Answer:

Step-by-step explanation:No if you use soh cah toa


The fraction
17
100
can be written as which decimal?

Answers

Answer:

.17

Step-by-step explanation:divide 17 by 100 hope this helps god bless

Answer:

0.17

Step-by-step explanation:

The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the boys in school A and the boys in school B is 1:3 and the ratio of the girls in school A and the girls in school B is 3:5. The number of boys in school B is 200 higher than the number of boys in school A. Find the number of boys and girls in each school.

Answers

Answer:

There are 100 boys and 300 girls in School A and there are 300 boys and 500 girls in School B .

Step-by-step explanation:

The ratio of the boys in school A and the boys in school B is 1:3

Let the ratio be x

No. of boys in School A = x

No. of boys in School B = 3x

We are given that The number of boys in school B is 200 higher than the number of boys in school A.

So,[tex]x+200=3x[/tex]

[tex]200=3x-x[/tex]

[tex]200=2x[/tex]

[tex]\frac{200}{2}=x[/tex]

100=x

So, No. of boys in School A = x = 100

No. of boys in School B = 3x =3(100)=300

We are given that the ratio of the girls in school A and the girls in school B is 3:5.

Let the ratio be y

So, No. of girls in School A = 3y

No. of girls in School B = 5y

So, Total No. of students in School A= No. of boys in school A + No. of girls in school A=100+3y

Total No. of students in School B= No. of boys in school B + No. of girls in school B=300+5y

We are given that The number of pupils in school A is equal to half the number of pupils in school B.

So, [tex]100+3y=\frac{1}{2}(300+5y)[/tex]

[tex]200+6y=300+5y[/tex]

[tex]y=100[/tex]

No. of girls in School A = 3y=3(100)=300

No. of girls in School B = 5y=5(100)=500

Hence there are 100 boys and 300 girls in School A and there are 300 boys and 500 girls in School B .

Answer: 100 boys, 300 girls in School A. 300 boys,500 girls in School B

Step-by-step explanation:

3. The annual per capita consumption of fresh bananas in the United States can be approximated by a normal distribution, with a mean of 10.4 pounds and a standard deviation of 3 pounds. What is the largest annual per capita consumption of bananas that can be in the bottom 5 % of consumption

Answers

Answer:

The largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

Step-by-step explanation:

Given

μ = Mean = 10.4 lb

σ = Standard deviation = 3 lb

Using a confidence level of 90%,

We'll need to first determine the z value that correspond with bottom 5% of consumption of banana

α = 5%

α = 0.05

So,

zα = z(0.05)

z(0.05) = -1.645 ----- From z table

Let x represent the largest annual per capita consumption of bananas

The relationship between x and z is

x = μ + zσ

By substitution;

x = 10.4 + (-1.645) * 3

x = 10.4 - 4.935

x = 5.465

Hence, the largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At α= 0.10, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed.

Burger Stop: mean = $8.88, standard deviation = $0.82, sample size = 17

Fry World: mean = $8.25, standard deviation = $0.72, sample size = 8
Identify the claim and state H0 and Ha. Which is the correct claim below?
A. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World."

B. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World."

C. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World."

D. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop."

Answers

Answer: Option "B" is correct.

Step-by-step explanation:

Since we have given that

α= 0.10

Let the population variances are equal and samples are random and independent.

Let [tex]\bar{x}[/tex] be the mean amount spent by a customer at Burger Stop.

Let [tex]\mu[/tex] be the mean amount spent by customer at Fry World.

So, it has given that

the mean amount is spent by a customer at Burger stop is greater than the mean amount spent by a customer at Fry World.

So, Hypothesis would be :

[tex]H_0:\bar{x}=\mu\\\\H_1:\bar{x}>\mu[/tex]

Hence, Option "B" is correct.

We have 2 stacks or styrofoam cups one has 6cups and it's height is 15cm.The other stack has 12cups and Height is 23cm. How many cups are needed for a stack with the height of 50cm?

Answers

Answer:

Given

Number of stacks = 2

Stack 1 = 6 cups; h1 = 15cm

Stack 2 = 12 cups; h2 = 23cm

Let's first find the average:

[tex] \frac{H_1 - H_2}{ n_1 - n_2}[/tex]

[tex]= \frac{15-23}{6-12} [/tex]

[tex] = \frac{-8}{-6} = \frac{4}{3} [/tex]

With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:

50 / (4/3)

= 50 * 3/4

= 150/4

= 37.5

From the answer, we can see that the number of cups is not really proportional to the height of the stack, because the average of stack one and stack 2 are different.

Really need to know this for math!
Which number represents 10. Helpful if you answer all the rest ASAP

Answers

Answer:

I had to look up the problem B4 because your image doesn't show the rest of the information

B4 = 12

B5 = 1,738

Step-by-step explanation:

if you need help on any other questions on this, i can't see them in the image

If the probability that it will rain tomorrow is 15, what is the probability that it will not rain tomorrow?

A .45
B .35
C .25
D .210

Answers

B because probability is out of 50

Brianna has 6 bags of soil. Filling one flowerpot requires
1
3
of a bag of soil. How many flowerpots can be filled with these 6 bags?

Answers

Answer:

18

Step-by-step explanation:

6*3=18

Answer: 18

Step-by-step explanation: It's easy, you have to divide in order to get 18.

Using only addition, how do you add eight 8’s and get the number 1000?

Answers

Answer:   888+88+8+8+8 = 1,000

Step-by-step explanation: First of all line all your eights' up and then split them

Final answer:

To add eight 8's and get the number 1000 using only addition, you can express 1000 as the sum of two numbers: 800 and 200.

Explanation:

To add eight 8's and get the number 1000 using only addition, you can express 1000 as the sum of two numbers: 800 and 200. Here's how:

Add three 8's to get 24.Then, add four 8's to get 32.

Now, you have 24 and 32, which add up to 56. Finally, add 800 and 200, which equals 1000.

Learn more about Addition here:

https://brainly.com/question/40265821

#SPJ2

Place each of the key aspects under the function it describes.
range: 1 y 2 0}
h(x) = (x - 1)2
g(x) = -(x + 1)(x - 1)
decreasing over (-0, 1)
increasing over (-0,0)
range: [yl y s 1)
increasing over (1.c)
decreasing over (0,)

Answers

The functions h(x) = (x - 1)² and g(x) = -(x + 1)(x -1) key aspects shown in the picture.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a function:

h(x) = (x - 1)²

The range of the function:

y ≥ 0

The function increases over the interval (1, ∞)

The function decreases over the interval (-∞, 1)

g(x) = -(x + 1)(x -1)

The range of the function:

y ≤ 1

The function increases over the interval (-∞, 0)

The function decreases over the interval (0, ∞)

Thus, the functions h(x) = (x - 1)² and g(x) = -(x + 1)(x -1) key aspects shown in the picture.

Learn more about the function here:

brainly.com/question/5245372

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Parking at a university has become a problem. University administrators are interested in determining the average time it takes a student to find a parking spot. An administrator inconspicuously followed 240 students and recorded how long it took each of them to find a parking spot. Identify the population of interest to the university administration.

Answers

Answer:

In this particular case,the target population of interest to the university administration constitutes the university students.

Step-by-step explanation:

The university administration is interested to conduct a statistical study to identify the average or mean time taken by the students to find a vacant parking spot.Therefore,the research topic here is the average time taken by the university students to find parking spot. The administrator collects an inconspicuous sample of 240 samples from the target population of the study,which is the overall student population of the university.The sample collected by the university administration is used to observe the average or mean parking time by the university students.

Which lists the steps in the correct order to find the median of this data set?

24, 16, 23, 30, 18, 29

Answers

Answer:

23.5

Step-by-step explanation:

you put it in order and find the middle in this case is  23 and 24 then you add them and divide by two and get 23.5

find an angle in the normal range (0 degrees to 360 degrees, or 0 to 2pi radians) whose terminal side points in the same direction as the terminal side of an angle measuring -11pi/3.

Answers

Answer:

a) pi/3

Step-by-step explanation:

-11pi/3 + 4pi

(-11+12)pi/3

pi/3

Answer:

A

Step-by-step explanation:

We see that the angle is -11[tex]\pi[/tex]/3, which means that when drawing this angle on the graph, we need to move clockwise from 0 (see the drawing).

We see that this angle is actually the exact same as an angle in the first quadrant. This angle is [tex]\pi[/tex]/3.

Thus, the answer is A.

Hope this helps!

what the volume is of this solid

Answers

Answer:

336.

Step-by-step explanation:

8 x 7 x 6 = 336.

Feel free to let me know if you need more help! :)

(3x+5) is a factor of the polynomial (a-1)x^3 + (a+1)x^2 - (2a + 1)x - 15. Find the value of 'a'. For this value of 'a', factorize the given expression completely.

Answers

Answer:

(3x + 5)(x + √3)(x - √3)

Answer:

a = 4

Step-by-step explanation:

(3x+5) is a factor of the polynomial (a-1)x³ + (a+1)x² - (2a + 1)x - 15

Means x = -5/3 is a root

(a-1)(-5/3)³ + (a+1)(-5/3)² - (2a + 1)(-5/3) - 15 = 0

-125a/27 + 125/27 + 25a/9 + 25/9 + 10a/3 + 5/3 - 15 = 0

a(-125/27 + 25/9 + 10/3) = 15 - 5/3 - 25/9 - 125/27

a(40/27) = 160/27

a = 4

The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate of 12 cms/sec, at what rate, in cubic centimeters per second, is the volume increasing when the height is 9 centimeters and the radius is 6 centimeters?

Answers

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

[tex]\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}[/tex]

Volume of cone =

[tex]V = \dfrac{1}{3}\pi r^2 h[/tex]

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})[/tex]

Putting values, we get,

[tex]\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}[/tex]

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

Final answer:

The volume of a cone can be found using the formula V = πr²h³. To find the rate at which the volume is increasing, we differentiate the volume formula with respect to time and substitute the given values into the derivative formula. The volume is increasing at a rate of 15552π cubic centimeters per second.

Explanation:

To find the rate at which the volume is increasing, we need to differentiate the volume formula with respect to time.

Let's differentiate the volume formula V = πr²h³ with respect to time t:

dV/dt = π(2rh³(dr/dt) + r²h²(dh/dt))

Given that dr/dt = dh/dt = 12 cm/sec, r = 6 cm, and h = 9 cm, we substitute these values into the derivative formula:

dV/dt = π(2(6)(9³)(12) + (6²)(9²)(12))

dV/dt = π(11664 + 3888)

dV/dt = 15552π

Therefore, the volume is increasing at a rate of 15552π cubic centimeters per second.

A projectile is fired straight upward with an initial velocity of 400 feet per second. The height of the projectile, h(t), if represented by the function h(t)=-16t^2+400t, where t is the time in seconds. How long does it take the projectile to reach the maximum height?

Answers

Taking into account the definition of maximum, minimum and vertex of a quadratic function, it takes 12.5 seconds for the projectile to reach maximum height.

A quadratic function is defined in the form:

y= f (x) = ax² + bx + c

Every quadratic function has a maximum or a minimum, which is the vertex of the parabola. If the parabola has an upward concavity, the vertex corresponds to a minimum of the function; whereas if the parabola has concavity downwards, the vertex will be a maximum.

That is, if the coefficient a is positive the parabola is concave and the vertex will be a minimum of the function, while if a is negative the parabola will be convex and the vertex is a maximum.

The maximum or minimum is reached in [tex]xv=\frac{-b}{2a}[/tex]  

The maximum or minimum value of y is obtained by evaluating the function at xv, this is, f (xv).

In this case, the function is:

h(t)= -16t² + 400t

where t is the time in seconds

Being a = -16 and b = 400, the value of a is negative, so the vertex will be the maximum.

You want to know the time it takes for the projectile to reach the maximum height, that is, the maximum in t. That is, you must calculate t using the expression: [tex]t=\frac{-b}{2a}[/tex]

So: [tex]t=\frac{-400}{2x(-16)}[/tex]

Solving:

[tex]t=\frac{-400}{-32}[/tex]

t= 12.5 seconds

It takes 12.5 seconds for the projectile to reach maximum height.

Learn more about cuadratic function with this examples:

https://brainly.com/question/17096336?referrer=searchResultshttps://brainly.com/question/10465771?referrer=searchResultshttps://brainly.com/question/19725910?referrer=searchResultshttps://brainly.com/question/268775?referrer=searchResults

Is 3√124 the same as 6√31?

Answers

Answer:

Yes

Step-by-step explanation:

[tex]3\sqrt{124} = 3\sqrt{4} \sqrt{31} \\\sqrt{4} = 2\\ 3*2\sqrt{31}=6\sqrt{31}[/tex]

Use properties of rational number to simplify the expression.
A.)129/7
B.)262/15
C.)122/7
D.)507/28

Answers

Answer:

A.)129/7

Step-by-step explanation:

25/4 + 24/7 + 35/4

I will add the two with common denominator together first

25/4 + 35/4     +24/7

60/4   +24/7

15  + 24/7

We need to get a common denominator of 7

15 *7/7  + 24/7

105/7  + 24/7

129/7

Charlie has 7 cards, numbered 2, 3, 4, 5, 6, 7, 8, 9. What is the probability of picking an odd card? Give your answer as a fraction, a decimal, and a percent. Round to the nearest hundredth.

Answers

There are 4 out of the 7 cards that are odd numbers.

As a fraction: 4/7

As a percent: 57.14%

As a decimal: 0.57

Use the formula to find the lateral area and surface area of prism

Answers

Answer:

The answer to your question is 2046 in²

Step-by-step explanation:

Data

length = 30 in

base = 24 in

hypotenuse = 25 in

Process

1.- Calculate the height of the triangle using the Pythagorean theorem

          c² = a² + b²

-Solve for b

          b² = c² - a²

-Substitution

           b² = 25² - 24²

-Simplification

           b² = 625 - 576

-Result

            b² = 49

            b = 7 in

2.- Calculate the area of the base

Area = base x height

Area = 24 x 7 x 2

        = 336 in²

3.- Calculate the lateral area

Area = 30 x 25 x2

        = 1500 in²

4.- Calculate the last area

Area = 30 x 7

        = 210

5.- Final area

Total area = 210 + 1500 + 336

                 = 2046 in²

         

What is the surface area of the triangular pyramid shown? Round to the nearest tenth.
5.2
[Not drawn to scale]
A. 57.6
B. 69.6
C. 73.2
D. 87.6​

Answers

Answer:

A. 57.6

Step-by-step explanation:

6 times 5.2 is 31.2. 4 times 5 is 20. 6 times 5 is 30. 6 times 5 is 30. (31.2/2)+(20/2)+30= 55.6 Then you round nearest tenth. 57.6.

Answer:

Aa 57.6

Step-by-step explanation:

It is correct

correct on E D G E N U I T Y

What is the answer to this? I need help :(.

Answers

Answer:

Not proportional

Step-by-step explanation:

Hope it helps you in your learning process.

[tex] \frac{6}{6}=1\\\\

\frac{8}{24}= \frac{1}{3}\\\\

\frac{10}{50}= \frac{1}{5}\\\\

\frac{12}{84}= \frac{1}{7}\\\\

\therefore \frac{6}{6}\neq \frac{8}{24}\neq \frac{10}{50}\neq \frac{12}{84}[/tex]

Hence, given ratios are not proportional.

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(sortir) Question 9 with 1 blankNous trs vite sur la plage. (courir) Question 10 with 1 blankIls ne pas sans leurs chapeaux. (sortir) What is the difference between commodity money and fiat money? 3. Choose TWO of the following COUNTRIES then fill out the table below to help you getstarted on adding your chosen country to your tour:AfghanistanKuwaitGaza StripIranSaudi ArabiaWest BankSyriaIsraelTurkeyIraqCountryCapital CityCulture (ex:language,religion)RelativeLocation(What is itnear? Whereis it in theregion?)What is oneof the majorissues thiscountry iscurrentlyfacing?What wouldyou suggestas a solutionto the issue:? Santiago receives $143 per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is $500 more invested at 3% than at 2%. The amount invested at 4% is three times the amount invested at 3%. Find the amount of each ratePlease answer I need a lot of help on this!!! 3. According to Lin, how does Queen Victoria feel about China?a) She likes their culturec) She looks down on Chinab) She hates China How are pollen and egg cells different than most other plant cells? What groups of elements do not have a charge and why The height of a cone is twice the radius of its base.What expression represents the volume of the cone, incubic units?A. 2/3 pi x 3B. 4/3 pi x 2C. 2 pi x 3D. 4 pi x 3 What's the answer?A) it depicts her as around character because she is looking to change her career.B) it depicts her as a flat character because she represents the stereotype of perfectly average intelligence.C) it depicts her as a round character because she is good at something, which makes her better than her peers.D) it depicts her as a flat character because she is unclear about what normal means. In which direction is air pressure exerted A triangular pyramid. The triangular base has a height of 8 units and base of 12 units. 2 sides have a base of 10 and height of 14. 1 side has a base of 12 and height of 13.6. Find the surface area of the pyramid. The triangular base has a height of 8 units and a base of 12 units. What is the base area? What is the lateral area? What is the surface area? What is the value of this expression when x = negative 1 and y = 2?4 x cubed y squared Diamond rings are relatively scarce because: according to geologists, diamonds are less common than is any other gem-quality stone. of monopolistic competition. diamond producers limit the quantity supplied to the market. the demand for diamonds is so high. Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t)equals=v primev(t)equals=g, where gequals=minus9.8 m divided by s squared9.8 m/s2. a. Find the velocity of the object for all relevant times. b. Find the position of the object for all relevant times. c. Find the time when the object reaches its highest point. What is the height? d. Find the time when the object strikes the ground. A softball is popped up vertically (from the ground) with a velocity of 30 m divided by s30 m/s. A license plate is to consist of 5 digits followed by 5 uppercase letters. Determine the number of different license plates possible if the first and second digits must be odd, and repetition is not permitted. 1 point8. Alex notices a small spot of fungus growing on an orange in the back of his refrigerator.He doesn't eat the orange. He looks at the orange again a week later. Which of these is themost likely to observe? *OThe fungus has gone away.OThe fungus has not changed.OThe fungus has grown larger. A student performs the following procedure:Procedure1. Measure 25 grams of an unknown solid.2. Measure 200 grams of water.3. Pour the unknown solid and water into beaker, which weighs 50 grams.4. Stir the solution.The student records the following observation: ObservationAbout half of the unknown solid dissolves and the other half settles to the bottom of the beaker.Part A: The student calculated the combined weight of the unknown solid and the water to be 275 grams. Describe the mistake the student made in this calculation.Part B:Describe how stirring the solution will affect the total amount of matter in this investigation. Problem 10-171 The following labor standards have been ... The following labor standards have been established for a particular product: Standard labor hours per unit of output 4.5 hours Standard labor rate $19.70 per hours The following data pertain to operations concerning the product for the last month: Actual hours worked 6,500 hours Actual total labor cost $130,975 Actual output 1,400 units Required: a. What is the labor rate variance for the month A student planning her curriculum for the upcoming year must select one of six business courses, one of three mathematics courses, two of eight elective courses, and either one of three history courses or one of two social science courses. How many different curricula are available for her consideration?