The population of a small town is 2,500. The town is growing at a rate of 0.02. What
will the population be in 5 years? Round to the nearest whole number.
2,757

2,761

2,760

2,756

The required measure of the angle ∠VYW is given as 59°.

Given that,
A Right angle is shown, where the measure of the complementary angle ∠VYW is to be determined.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
For complementary angle,
∠TYV + ∠VYW = 90
31 + ∠VYW = 90
∠VYW = 59°

Thus, the required measure of the angle ∠VYW is given as 59°.

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a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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Step-by-step explanation:

(f + g)(x) is simply f(x) + g(x).

you simply add both expressions :

3x + 10x + 4x -2 = 17x - 2

so, A is the right answer.

Answer:

3(square root of 22)/22

Step-by-step explanation:

Answer:

A is the correct solution

Step-by-step explanation:

     3x³ + 4x² + 0x - 1  /  x - 2

             3      10    20

-2 | 3       4       0    -1

 -  (3      -6)

             10       0

      -     (10    -20)

                      20    -1

                 -   (20  -40)

                              39

3x² + 10x + 20 + 39/(x - 2)

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

Answer:

If the radius is 5mm, the diameter is 10mm.

Step-by-step explanation:

5*2=10

Answer:

31.8 degrees

Step-by-step explanation:

The angle is a right angle (given by the square)

DEF = 90 - 58.2

DEF = 31.8

Answer:

angle DEF = 31.8°

Step-by-step explanation:

90 - 58.2 = 31.8

Answer:

4

Explanation:

Given the expression:

We use the order of operation: PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition and Subtraction).

First, we evaluate P-Parentheses.

Next, evaluate E-Exponents:

Since we are left with addition and subtraction, we simplify:

The result is 4.

Answer:

10 m²

Step-by-step explanation:

1. First, find the area of the bigger (shaded) rectangle

4 x 3 = 12m²

2. Then, find the area of the door (white rectangle)

2 x 1 = 2m²

3. Because you are only finding the area of the shaded section, you need to subtract the area of the door from the shaded section

12m² - 2m² = 10m²

(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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Answer:

(0, -6) is the y-intercept.

Answer:

500,369

Step-by-step explanation:

formula

400000(1.0325)ⁿ

400,000(1.0325)⁷

500,369

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

the 3/4:6/8. Hope that helped

Answer:

(6,4) (4,4) (2,3) or (2,2)

Step-by-step explanation:

hope it helps

Answer:

Yes

Step-by-step explanation:

To form a triangle : The sum of any two side lengths must be bigger than then the third side length and their difference smaller than the third side length.

19.6 + 1.6 > 18.7

19.6 - 1.6 < 18.7 and so on.

Answer: it is the second the third and the 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

Answer:

Step-by-step explanation:

Given

To find

Solution

The probability of getting an order from restaurant A or B or an order that is not accurate is 0.641. Rounded to three decimal places, the answer is 0.641.

To find the probability of getting an order from restaurant A or B or an order that is not accurate, we need to add the probabilities of the three events and subtract the probability of their intersections:

P(A or B or Not Accurate) = P(A) + P(B) + P(Not Accurate) - P(A and B) - P(A and Not Accurate) - P(B and Not Accurate) + P(A and B and Not Accurate)

We can use the data in the table to calculate the probabilities of each event:

P(A) = 331 / (331 + 233 + 141 + 33 + 60 + 32 + 17) = 0.387

P(B) = 233 / (331 + 233 + 141 + 33 + 60 + 32 + 17) = 0.271

P(Not Accurate) = (33 + 60 + 32 + 17) / (331 + 233 + 141 + 33 + 60 + 32 + 17) = 0.091

P(A and B) = 0 (since there is no information about orders that are both from A and B)

P(A and Not Accurate) = 33 / (331 + 233 + 141 + 33 + 60 + 32 + 17) = 0.038

P(B and Not Accurate) = 60 / (331 + 233 + 141 + 33 + 60 + 32 + 17) = 0.070

P(A and B and Not Accurate) = 0 (since there is no information about orders that are both from A and B and not accurate)

Now we can substitute these values into the formula to get:

P(A or B or Not Accurate) = 0.387 + 0.271 + 0.091 - 0 - 0.038 - 0.070 + 0

P(A or B or Not Accurate) = 0.641

Therefore, the probability of getting an order from restaurant A or B or an order that is not accurate is 0.641. Rounded to three decimal places, the answer is 0.641.

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Answer:

The legs are the two sides that intersect to form the right angle and the hypotenuse is the side that is diagonal relative to those sides.

Answer:

  Use the Pythagorean Theorem to find the unknown side of a right triangle.

·         Solve application problems involving the Pythagorean Theorem.

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

AB + BC = AC.

Therefore,

\((3x+2)+(5x+7)=49\)

Remove brackets:

\(3x+2+5x+7=49\)

Add up terms:

\(8x+9=49\)

Subtract 9 from both sides:

\(8x+9-9=49-9\)

\(8x=40\)

Divide both sides by 8:

\(\frac{8x}{8}=\frac{40}{8}\)

\(x=5\)

----------

\(AB=3x+2=3(5)+2=15+2=17\)

Answer: you need to add

Step-by-step explanation: I would ask your teacher to help you understand the lesson.  

50+4 would be the way to show 54 in tens and ones.

Answer:

its 122

Step-by-step explanation:

just did it on khan academy

Answer:

530 :)

Step-by-step explanation:

If you add up the dowton and center city locations and then subtract that from the amount of pizzas at the westland location, you get your answer

Answer:

1/9

Step-by-step explanation:

4/36

2/18

1/9

Answer:

0.1 going on forever

Step-by-step explanation: