) An important factor in solid missiles fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometres) distribution is characterized by () = 3−4 , > 1, = 0, ℎ. (i)Verify that f(x) is a density function, find (ii)( = 1 2 ), (iii) ( > 1), (iv) ( > 1.5/ > 1), (v) (2 ≤ < 4).

Answer:

₹ 4000

Step-by-step explanation:

Sarah's salary =₹ 30000

x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000

Answer:

Step-by-step explanation:

Graph shown in the attachment,

- Since every value of x corresponds to a distinct value of y, so the graph represents a function.

- Every input value of x of the table has a output value of y, therefore, it's a function.

- In the set of ordered pairs (5, 8) and (5, 2), input value x = 5 has two output values for y,

 y = 8 and y = 2

Therefore, it's not a function and (5, 8) should be changed to make the relation a function.

Answer:

18 men = 36 tons in 6 hours

Step-by-step explanation:

3 men = 1 ton in 1 hour

6 men = 2 ton in 1 hour

9 men = 3 tons in 1 hour

with this you find a pattern

3 men = 2 tons in 2 hours

3 men = 3 tons in 3 hours

3 men = 6 tons in 6 hours

6 men = 12 tons in 6 hours

9 men = 18 tons in 6 hours

12 men = 24 tons in 6 hours

15 men = 30 tons in 6 hours

18 men = 36 tons in 6 hours

(This is how i worked it out)

Answer:

18 people

Step-by-step explanation:

Method A:

3 man-hours to stack 1 ton

36 tons is 36 times 1 ton, so it takes 36 times as long to stack.

36 * 3 man-hours to stack 36 * 1 ton, or

108 man-hours to stack 36 tons

To do the job in 6 hours instead of 108, you need to do 108/6 = 18 times as much work per hour, so you need 18 times as many people.

18 * 1 person = 18 people

Answer: 18 people

Method B:

1 person works 3 hours and stacks 1 ton. That same person works another 3 hours and stacks another ton. In a total of 6 hours, 1 person stacked 2 tons. Since you need 36 tons stacked in the same 6 hours, and 36 = 18 * 2, you need 18 times the number of people, so you need 18 people.

Answer:

2.042 meters

Step-by-step explanation:

We have that the angular speed is 80 rpm and we can calculate the linear speed, we know that the linear speed is equal to the radius times the angular speed, like this:

v = w * r

w = 80 rpm, but we must pass it to seconds, that is:

80/60 = 1,333 rps, that is, revolutions per second, to have the same time unit as the linear speed.

v = distance / time = 27,227 / 10 = 2.7227

therefore, the radius would be:

r = v / w = 2.7227 / 1,333

r = 2.042

Which means that the radius is 2.042 meters.

Answer:

C. Similar objects have congruent angles and proportional sides.

Step-by-step explanation:

I took the test.

The correct option regarding the statement will be C. Similar objects have congruent angles and proportional sides.

It should be noted that similar objects are identical. Therefore, similar objects have congruent angles and proportional sides.

It should be noted that they don't have objects have congruent angles and congruent sides.

Learn more about similar objects on:

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Answer:

12 inches

Step-by-step explanation

The perimeter of a rectangle is the sum of each of the sides. So, it would be Perimeter= width+width+height+height. Let's make x as the width as the variable. We already know the value of the perimeter and the height. We can then substitute these values in the above equation.

So, that would be 56=x + x +16 +16

Then we would solve for x. First combine like terms.

56=2x+32

Then, subtract 32 from each side.

24=2x

Finally, divide by 2 on both sides to get the answer.

x=12

Answer:

12 inches

Step-by-step explanation:

none none none none none none none

Answer: 3.20 hours

Step-by-step explanation:

Hi, to answer this question, first we have to convert the kilometers into miles:

Since: 1 mile = 1.61 km

For 350km:

350 /1.61 = 217.39 miles  

Next, we have to apply the next formula:

Replacing with the values given:

Time = 217.39 mi / 68 mi/h = 3.20 hours

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

Answer:

75

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don’t know the answer

The value of x such that ∠MNQ and ∠PNR are vertical angles is 40

The given parameters are:

MNQ = 3x - 6

PNR = 114

Vertical angles are equal.

So, we have:

3x - 6 = 114

Add 6 to both sides

3x = 120

Divide both sides by 3

x = 40

Hence, the value of x is 40

Read more about vertical angles at:

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Answer:

f of 5 equals negative 1

Step-by-step explanation:

equation- f(x) = -x + 4

f(5) = -5 + 4

f(5) = -1

Answer:

f(5)=-1

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

0.768/0.96= 0.8

0.96/1.2 =0.8

Answer: 0.39

Step-by-step explanation:

We are required to determine the the value of f, rounded to the nearest hundredth

The value of f, rounded to the nearest hundredth is 0.39

Given function:

[tex]d(v) = \frac{2.15 {v}^{2} }{64.4f} [/tex]

Where,

d = stopping distance in feet

v = initial velocity in miles per hour

f = a constant related to friction

When

v = 40 mph

d = 138 ft

f = ?

[tex]d(v) = \frac{2.15 {v}^{2} }{64.4f} [/tex]

[tex]138= \frac{2.15 {(40)}^{2} }{64.4f} [/tex]

138(64.4f) = 2.15(1600)

8,887.2f = 3440

f = 3440 / 8,887.2

f = 0.3870735439733

Approximately to the nearest hundredth f = 0.39

Therefore, the value of f, rounded to the nearest hundredth is 0.39

Read more:

https://brainly.com/question/10307723

Answer:

-15m-20

Step-by-step explanation:

-5(3m+4)

you have to multiply -5 by 3m and 4

-5x3m=-15m and -5x4 would be -20

so it would be -15m-20

Answer:

3/2

Step-by-step explanation:

3/2 is greater than 1. 6/8 is less than one.

Answer:

200g oats

0.96l milk

72g sugar

Step-by-step explanation:

250/5 * 4 = 50 *4 = 200g oats

1.2/5 * 4 = 0.96l milk

90/5 * 4= 18*4 = 72g sugar

Answer:

AB=5.4 units

Step-by-step explanation:

We using the theorem of intersecting tangent and secant to solve this.

By this theorem:

[tex]XY^2=XB \times AX\\9^2=15(15-XB)\\81=225-15XB\\15XB=144\\XB=9.6\\$Therefore:\\AB=AX-XB\\AB=15-9.6\\AB=5.4$ units[/tex]

Answer:

Its 9.6, the other guy got it wrong, he already got it but accidentally added a step. Its 9.6 :)

Step-by-step explanation:

trust me :).

Answer:

The leftmost graph [with the points (-3,-3) and (0,3)]

Step-by-step explanation:

y+3=2(x+3)

y+3=2x+6

y=2x+3

The y-intercept is 3, meaning that the line passes through the point (0,3), and it's slope is 2, so it travels 2 units up and 1 unit over. Thus the correct graph is the top left graph, with the two points (-3,-3) and (0,3).

The graph is considered as the creation of a diagram that depicts a relationship connecting two or more items, and further discussion can be defined as follows:

Given:

[tex]\bold{y+3=2(x+3)}[/tex]

To find:

graph=?

Solution:

[tex]\bold{y+3=2(x+3)}[/tex]

Solving the given equation:

[tex]\to \bold{y+3=2(x+3)}\\\\\to \bold{y+3=2x+6}\\\\\to \bold{y=2x+6-3}\\\\\to \bold{y=2x+3}\\\\[/tex]

Please find the graph in the attached file.

Learn more:

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Answer:

150 - 180 seconds

Step-by-step explanation:

Let change minutes to seconds

1 minute = 60 seconds

2.5 minutes * 60 =150 seconds

3 minutes * 60 = 180 seconds

150 - 180 seconds

Answer: 1.25 m

Step-by-step explanation:

Area of base = 1.2 m²

Number of gold fish = 6

Density of the tank should be = 4 fish/m³

Height of the tank= ?

4 fish = 1 m³

6 fish = 6/4 = 1.5 m³

Volume required for 6 fish is 1.5 m³

V = area of base x height (h)

1.5 = 1.2 x h

h = 1.25 m

Hence, height of the tank is equal to 1.25 m.

Answer:

c

Step-by-step explanation:

t = 1

f(t) = 2000 * (3 * 1)

f(t) = 6000

Answer:

add up all the colors

Step-by-step explanation:

Answer:

54%

Step-by-step explanation:

20% of 60 = 48

15% of 40 = 6

48 + 6 = 54 fail

Answer:

4 and 5 are coefficients the rest are terms

Step-by-step explanation:

coefficients are the numbers not the letters

Answer:

Step-by-step explanation:

The terms are the elements of the sum:

  5b, 8c, 4p

The coefficients are the constant multipliers:

  5, 8, 4

___

In your list of items to "drag and drop", you have ...

Coefficient: 4, 5

Term: 4p, 5b, 8c

Answer:

a

Step-by-step explanation:

y=3x

thus, a proportional relationship equation is y=kx .Where k is constant

Answer:$35.49

Step-by-step explanation:

1. Get sales tax from the original price

8/100*45.50=$3.64

2. Get the price after the discount which is 70% of the original price

45.50*70/100 = 31.85

3. Add the sales tax to the new price to get the amount paid

31.85+3.64= $35.49

Answer:

Box A has 1121 buttons more than Box C

Step-by-step explanation:

4432 boxes are made in three hours

Then in six hours, we would be making double of this

The number of boxes made is 4432 * 2 = 8864 boxes

Now,

we have boxes A B C to fill

Filling box B, we have 3363 boxes left to fill A and B

Now C holds half of what A hold

so we can say the ratio of buttons in C to A is 1:2

The number of buttons in C would thus be

1/3 * 3363 = 1121

Number of buttons in A would be 2/3 * 3363 = 2 * 1121 = 2242 buttons

Now the number of buttons with which the buttons in A exceeds that in C would be 2242 -1121 = 1121 buttons

Answer:

False

Step-by-step explanation:

Vertical angles are opposite to each other, so they are not adjacent.