The spread of a rumor in a town can be modeled as , where N is the number of people who have heard of the rumor, and t is time (in days). How long will it take until 2000 people know about the rumor?

Answer:

2.2

Step-by-step explanation:

I did it on khan

Right triangles have the measure of one of its angles to be 90 degrees

The ratio WY/WX is 0.36

From the triangle (see attachment), one of the angles of triangle WXY is 70 degrees.

This means that, the triangle is similar to triangle 1.

So, by comparing the side lengths, we have:

[tex]WY = 3.4[/tex]

[tex]WX = 9.4[/tex]

The ratio is then calculated as:

[tex]\frac{WY}{WX}= \frac{3.4}{9.4}[/tex]

[tex]\frac{WY}{WX}= 0.36[/tex]

Hence, the ratio WY/WX is 0.36

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Answer:

it's C. 2 and 5...

Step-by-step explanation:

If the denominator of rational number contains no prime factors other then 2 or 5 or both, then this rational number can be expressed as terminating decimal. So the correct answer is option is C

Answer:

-26

Step-by-step explanation:

Because -6+ -2= -8

-18- 8= -26

Answer:

14,977.8946

Step-by-step explanation:

Answer:earthy

Step-by-step explanation:vuinh

Answer:

75

Step-by-step explanation:

Given data

First term= 87

Second term= -12

Hence,

87 + (-12)

open bracket

+*-= -

= 87 -12

=75

Therefore the equivalent is 75

Answer:

It is a good idea to buy the round pizza, since it has a total of 113.04 square inches of pizza, while the two square slices together bring together 98 square inches.

Step-by-step explanation:

Since a local pizza parlor is selling two different shapes of cheese pizza for the same price, and you can get two small square pizza that have sides of 7 inches or a large round pizza with a diameter of 12 inches, to determine which choice gives you more pizza the following calculations must be carried out, knowing that the area of a square is equal to pi multiplied by the radius squared, and that the area of a square is equal to its side squared:

Round pizza:

Radius = Half the diameter

3.14 x 6 ^ 2 = X

3.14 x 36 = X

113.04 = X

Square pizzas:

(7x7) x 2 = X

49 x 2 = X

98 = X

Therefore, it is a good idea to buy the round pizza, since it has a total of 113.04 square inches of pizza, while the two square slices together bring together 98 square inches.

Answer:

Step-by-step explanation:

B. You build credit by using credit cards so b is the answer.

Answer:

[tex]4x(2x−1)[/tex]

Step-by-step explanation:

[tex] {8x}^{2} - 4x[/tex]

[tex]4x(2x) - 4x[/tex]

[tex]4x(2x)+4x(−1)[/tex]

[tex]4x(2x−1)[/tex]

Answer:

[tex]14 \ 100 \1800[/tex]

Answer:

the answer for that question is sqrt(49)

Answer:tanQ=

adjacent

opposite

​

=

24

7

​

≈0.2917≈0.29

Step-by-step explanation:

trust me bro

The value of the tangent of ∠Q is 0.96.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

∠S=90°, SR = 7, QS = 24, and RQ = 25.

Using Trigonometry

tan Q = P/ B

tan Q= 24/ 25

tan Q = 0.96

Thus, the value of tan Q is 0.96.

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Answer:

A)

Step-by-step explanation:

Answer:

60 ft³

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Volume of a cube = Length × Width × Height

SOLUTION :-

In the question , all the dimensions of the cube is given. So,

Volume of the cube = 5 × 4 × 3 = 60 ft³

Based on the calculation, the volume of the box is 60 cubic feet.

To find the volume of a box, you need to multiply its length, width, and height. In this case, the dimensions of the box are given as:

Length = 3 ft

Width = 4 ft

Height = 5 ft

To calculate the volume, multiply these dimensions together:

Volume = Length × Width × Height

Volume = 3 ft × 4 ft × 5 ft

Volume = 60 cubic ft

Therefore, the volume of the box is 60 cubic feet.

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Answer:

91% markup

Step-by-step explanation:

$43.20 divided by 36 is $1.20 per package

if Green Foods is selling one package for $2.29 then they are marking each package up by $1.19

if you take the difference of the per carton prices (82.44-43.20) and divide it by 43.20, you get a 91% markup

Answer:

270 m²

Step-by-step explanation:

LA = (3+6+3+6)×15

= 18×15 = 270 m²

Answer:

Here you go!, hope it helped. 68-32x

Answer:

36 is the answer I think :D

135/225=3/5

3/5 times 6 on both sides=18/30

so he will make 18 shots

Answer:

1/4

this is fraction of time spent on English language...

Answer:

w

Step-by-step explanation:

The inputs (x) have the different variables in order for it to be a function.

Answer:

40-10=30

Step-by-step explanation:

x-10=30

we are going to flip the problem which would make it addition so you would do 10+30=X and we can fill in the blank of x equalling 40 because 10+30 is 40

Answer:

x = 40

Step-by-step explanation:

x - 10 = 30

=> x = 30 + 10

=> x = 40

Answer:

8 I belive is C and 9 I think is D :)

Answer:

The answer is just re look at the question A

Answer

THE ANSWER IS A

Step-by-step explanation:

Answer:

.......

Step-by-step explanation:

Jahlan, simple interest means that interest is paid every year on the original $4000.

To find 2% of 4000, you multiply 4000(.02) = $80.

Since the interest is the same, 3(80) = $240.

Answer:

Area of shaded part = 113 mm² (Approx.)

Step-by-step explanation:

Given:

Diameter of Semi-circle = 24 mm

Find:

Area of shaded part

Computation:

Radius of semi-cicrle = Diameter of Semi-circle / 2

Radius of semi-cicrle = 24 / 2

Radius of semi-cicrle = 12 mm

So,

Radius of small circle = 12 / 2

Radius of small circle = 6 mm

Area of shaded part = Area of semi circle - Area of small circle

Area of shaded part = [πR² / 2] - [πr²]

Area of shaded part = [(3.14)(12)² / 2] - [(3.14)(6)²]

Area of shaded part = [(3.14)(144) / 2] - [(3.14)(36)]

Area of shaded part = 226.08 - 113.04

Area of shaded part = 113.04

Area of shaded part = 113 mm² (Approx.)

Answers:

=====================================================

Explanation for part (a)

Consider four slots labeled A,B,C,D.

We have

We started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440

You can use the nPr permutation formula as an alternative method

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

in this case n = 18 and r = 4. The exclamation marks indicate factorial.

-----------------------------------

Explanation for part (b)

Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.

Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.

There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)

73440/24 = 3060

You could use the nCr combination formula to get the same result

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

where n = 18 and r = 4 are the same from last time.

The connection between nPr and nCr is this

[tex]_nC_r = \frac{_nP_r}{r!}[/tex]

which can be rearranged into

[tex]_nP_r = r!*\left( _nC_r \right)[/tex]

these formulas are handy to help us go back and forth between nCr or nPr.

If the order of the choices is relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 73440.

If the order of the choices is not relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 3060.

Combination is a way of selecting items from a collection where the order of arrangement is not relevant.

It is given by:

[tex]^nC_r[/tex] = n! / r! (n-r)!

Permutation is a way of selecting items from a collection where the order of the arrangement is relevant.

It is given as:

[tex]^nP_r[/tex] = n! / (n-r)1

We have,

Number of distinct colors = 18

Number of colors to be chosen = 4

The number of ways the four colors be chosen when the order is not relevant:

= [tex]^{18}C_4[/tex]

= 18! / 4! 14!

= 18 x 17 x 16 x 15 / 4 x 3 x 2

= 3060

The number of ways the four colors be chosen when the order is relevant:

= [tex]^{18}P_4[/tex]

= 18! / 14!

= 18 x 17 x 16 x 15
= 73440

Thus,

If the order of the choices is relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 73440.

If the order of the choices is not relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 3060.

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Sn = a(1-r^n)/(1-r)

Sn= 8(1-1/4096)/3= 2.67

Answer:

610 m^2

Step-by-step explanation:

Area of the shaded region = area of the outer rectangle - area of the inner rectangle

Area of the outer rectangle

l = 42

b = 25

a = l*b = 42*25 = 1050m^2

Area of the inner rectangle

l = 22

b = 20

a = l*b = 22*20 = 440m^2

Therefore, the area of the shaded region is = 1050 - 440

                                                                         = 610m^2

Thank You

Hope u understood

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