evaluate: (1000/216)^-2/3 *10 /36

Answer:

$2971.9

Step-by-step explanation:

2000*(1+2%)^20 = 2971.895

Answer:

Step-by-step explanation:

they get 4%  or 4 out of ever 100.  that's 25 for one AB donation.

Answer:1. -210 2. -24

Step-by-step explanation:

Notice that the relationship between the number of pounds of gummy candy and the number of dollars that that number of pounds costs is a function because there cannot be two prices for the same number of pounds.

Now, notice that the graph that Tommy creates does not represent a function because it fails the vertical line test at x=3.

Also, from the given table we get that (4,11) is a point of the graph.

Then the graph that Tommy creates is not correct.

Answer: No, because the graph does not represent a function and the point (4,11) is not part of the graph.

Answer:

36/55

Step-by-step explanation:

Total 55 persons, total females 36.

The probability that the selected person is a female from the given table is gotten as; 0.65

From the given table we see that;

Males under 35 years = 8

Females under 35 years = 18

Males 35 years and older = 11

Females 35 years and older = 18

Thus;

Total number of people = 8 + 18 + 11 + 18

Total people = 55

Thus, probability that the selected person is a female is;

P(female) = (18 + 18)/55

P(female) = 36/55

P(female) = 0.65

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Answer:

9 Cards

Step-by-step explanation:

9 Cards a day equals 27 cards in 3 days

Answer:

9 CARDS

Step-by-step explanation:

(9) ~\(-_-)/~

Answer:

Step-by-step explanation:

There is 12 inches in a foot:  therefore, 12inches  x 7ft. = 84 ft.

Answer: 84 inches

Step-by-step explanation:

A conversion factor is a number that is used to multiply or divide one set of units into another.  For instance, 12 inches equals one foot when converting between inches and feet.

Since 1 foot = 12 inches

And we are trying to figure out how much inches are in 7 ft.

We can create a conversion (or cross multiply)

\(\frac{12}{1} =\frac{x}{7}\)

Where inches are in the numerator and ft are in demoninator.

When cross multiplying (multiplying in a diagonal) you get:

x = 84 inches

So 7 ft equals 84 inches.

---

A quicker method would be to multiply 7 ft by 12 inches/1 ft (foot), and get 84 inches.

--

Answer:

87

Step-by-step explanation:

If Shelby and Aisha baked a total of 116 dog treats to sell, and Shelby baked 3 times as many dog treats that Aisha, then we need to figure out what 3/4 of 116 dog treats is.

116 ÷ 4 = 29

29 × 3 = 87

Shelby baked 87 dog treats.

answer

Equilateral Triangle

Answer:

equilateral triangle

Step-by-step explanation:

Answer:

18.85

Step-by-step explanation:

2(3.14)(3)

If a solid sphere and a hollow sphere are released at the same time from the top of the same inclined plane with each object having mass m and radius r then the solid sphere will reach the bottom first.

We know that each object has uniform density and that they all roll without slipping. Also, size, mass, density, and height don’t matter.

let, mass = m

gravity = g

height = h

final velocity = v

radius  = r

angular velocity = ω = vr

moment of inertia = I = km\(r^{2}\)

(where  k  is a measure of the average distance of the mass of an object from its rotational axis)

Now using the law of conservation of energy,

mgh = 1/2m\(v^{2}\) + 1/2I \(\omega^{2}\)

2gh =  \(v^{2}\)+ k\(v^{2}\)

v = \(\sqrt{\frac{2gh}{1+k} }\)

Now if we want to maximize v  we will have to minimize k  -that is we want the mass to be concentrated close to the center. This is inherent as we don’t want the object to waste energy in spinning but rather concentrate it on maximizing the object's speed.

Thus, the hollow sphere whose all the mass is present at the edge will come down slowly while the solid sphere whose mass is concentrated in the center will come down quickly.

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Answer:

The gcf of 16,48,72 is 4,12,18

Answer:

Answer and Step-by-step explanation:

In probability, events are dependent when the probability of the first event ocurring influences the outcome of the second event.

a. For events A and B, after ripping one page, it is destroyed, so the total number of pages changed. Therefore, events A and B are dependent.

b. To find the probability of both events happening, first, determine the probabilities of each event:

P(A) = \(\frac{1}{29}\)

P(B) = \(\frac{1}{28}\)

P(A and B) = \(\frac{1}{29}.\frac{1}{28}\)

P(A and B) = \(\frac{1}{812}\)

Probability of A and B occur is 0.12% or \(\frac{1}{812}\).

Answer:

267

Step-by-step explanation:

let's say that

f(0)=-25

so in the sequence we are adding 4

so f(1)=-25+4=-21

and f(2)=f(1)+4=-25+4+4=-25 + 4(2)

so if you continue you will notice that

f(n)=-25+4(n)

so our question is

What is the 74th term of this arithmetic sequence?

so if f(0) is our first term, the 74th will be f(73)

so we can apply our formula

f(73)=-25+4(73)

=-25+292

=267

Answer:

1. d<=200

2. f>=35

Step-by-step explanation:

Answer:

d ≤ 200

f  ≥ 35

Step-by-step explanation:

"no more than 200 " means it can be equal to or less than 200. Therefore, we would use the "less than or equal to" sign, or "≤". We would put 200 at the end as it is no more than 200 feet, so 200 is the max.

"at least 35" means it is equal to or more than 35. Therefore, we would use the "greater than or equal to sign" or "≥". Since it is talking about 35 miles, we put the 35 at the end with the sign pointing away from it since 35 is the lesser number.

Remember, the "mouth" or opening of the equality sign always points to the greater or bigger number. You can think of it as an alligator wanting to eat the bigger number.

Hope this helps! :)

Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

Answer:

w+10

Step-by-step explanation:

3w+6-2w+4=w+10

Answer:

Step-by-step explanation:

x subtracted from y means y-x

2w+4 subtracted from 3w+6= (3w+6)-(2w+4)

don't forgett to diestribute invisible -1

-(2w+4)=-1(2w+4)=-2w-4

so

3w+6-2w-4=

3w-2w+6-4=

1w+2=

w+2

Answer: BC = 24

Step-by-step explanation:

Given:

AB = x+33

AC = 3x - 15

BC = x

<B = <C

Solution:

Because <B = <C, you can say the corresponding sides AB and AC are equal as well

AB = AC

x + 33 = 3x -15  

48 = 2x

x = 24

Since x = BC

BC = x

BC = 24

Answer:

i belive its A

Step-by-step explanation:

Answer:

h=1.8 cm

Step-by-step explanation:

Solution Given:

Volume of triangular prism= Area of base * length

Here

Volume of traingular Prism= 63 cm³

base =7 cm

length =10 cm

Area of base = Area of triangle=½*base*height=½*7*h

Now

substituting value in the formula:

63= ½*7*h*10

63=35*h

h=63/35

h=1.8 cm

Therefore, height of the triangular cross section is 1.8 cm.

Answer:

  y -2 = 3/7(x +8)

Step-by-step explanation:

You want a point-slope equation of the line through points (-8, 2) and (6, 8).

The slope of the line is given by the formula ...

  m = (y2 -y1)/(x2 -x1) . . . . . . where (x1, y1) and (x2, y2) are points on the line

Using the given points, we find the slope to be ...

  m = (8 -2)/(6 -(-8)) = 6/14 = 3/7

The equation of a line with slope m through point (h, k) is written in point-slope form as ...

  y -k = m(x -h)

Here, we have m=3/7, and (h, k) = (-8, 2). This means the equation of the line is ...

  y -2 = 3/7(x +8)

Answer:

5 x 5 x 5 x 5 x 5

Step-by-step explanation:

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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Answer:

The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Step-by-step explanation:

Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:

19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112

9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97

7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94

Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Answer: 4 BTUs/ft^3

Step-by-step explanation:

i just did a test and this was the right answer

Answer:

Step-by-step explanation:

first lets count how many slices there are

there are 5 slices

out of which 3 are coloured in

the fraction, therefore, is 3/5

to turn the denominator into 10 we need to double everything

6/10