The population of a city is increasing 4% per year and is now 7,200. If it continues to increase at the same rate, what will the population be after 3 years?

Answer:

A number of tourists were interviewed on their choice of means of travel. Two- thirds said that they travelled by road, 1330 by air and 415 by both air and road. If 20 tourists did not travel by either air or road ; (i) represent the information on a Venn diagram ; (ii) how many tourists (1) were interviewed ; (2) travelled by air only?

Answer:

h²= G²- R²

h² = 10²-6²

h²= 100 - 36

h²= 64

h = √64

.............

Heya!

Answer:

h = √91 cm

Step-by-step explanation:

Apply pythagorean theorem, a² + b² ° c².

Where,

a = ½(6) = 3 cm

b = h

c = 10 cm

Plug in the values

3² + h² = 10²

9 + h² = 100

9 + h² - 9 = 100 - 9

h² = 91

h = √91 cm

Hope this helps <33

Answer:

I think missing values is -4

Step-by-step explanation:

the answer is in the image above

Answer:

Step-by-step explanation:

The numbers less than 30 that are diviisible by 8 are,

24, 16, 8

i think this is all because these are the only numbers 8 can divide into to get a whole number.

Answer:

2:1.

Step-by-step explanation:

The area of a red  curved surface = 2πr^2.

The area of the yellow flat surface = πr^2.

This is the case for all the hemispheres.

Therefore the  required  ratio =  2πr^2 :  πr^2

= 2:1.

Answer: x = 30°

Concept:

Here, we need to know the idea of an isosceles triangle and the vertical angle theorem.

An isosceles triangle is a triangle that has any two of its sides equal to each other. Also, the angles opposite these equal sides are equal, which is basically the base angles.

The vertical angle theorem states that two vertical angles formed when two lines intersect each other are always equal to each other.

Solve:

Find the other base angle of the isosceles triangle.

Since there are two equal sides, we know that this is an isosceles triangle.

Since the definition said that the base angles are equal, the other base angle would also be x.

Find the value of x

According to the vertical angle theorem, two vertical angles formed by intersection are equal.

Just as angle x and 30°, are vertical angles formed by intersection, therefore, [tex]\boxed{x=30}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

decay

Step-by-step explanation:

The function is in the form

y = a (b)^x

a is the initial value and b is the growth or decay factor

When b < 1  it is decay

When b > 1 it is growth

Since b = .93 it is decay

Answer:

20 mens are needed to contruct a building in 32 days.

9514 1404 393

Answer:

  x +4y = -5

Step-by-step explanation:

The equation of the perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The new constant can be found by substituting the point values into the equation.

  3x +12y = 3(-5) +12(0)

  3x +12y = -15

We notice that all of the values include a factor of 3. We can divide that out to put the equation in standard form:

  x + 4y = -5

Answer:

1 =b

Step-by-step explanation:

8 = b - 1 + 8b

Combine like terms

8 = 9b -1

Add 1 to each side

8+1 = 9b-1+1

9 = 9b

Divide each side by 9

9/9 = 9b/9

1 =b

Answer:

1

Step-by-step explanation:

Group like terms

8b + b = 8+ 1

simplify each sides

9b = 9

divide both sides by 9

9b÷9 = 9÷9

cancel out

answer is equal to 1

b = 1

Answer:

 NO = 10

Step-by-step explanation:

The segment addition theorem tells you ...

 MN + NO = MO

Substituting the given expressions for these lengths, we have ...

 x + 5x = 3x+6

 3x = 6 . . . . . . . . . subtract 3x

 x = 2 . . . . . . . . . . divide by 3

We can use this value to find the length NO:

 NO = 5x = 5(2) . . . . substitute for x

 NO = 10

If 10p4₅ = 134₁₀, then p is such that

[tex]10p4_5 = 1\times5^3 + 0\times5^2 + p\times5^1+4\times5^0 \\\\ \implies 134 = 125 + 0 + 5p + 4[/tex]

Solve for p :

134 = 129 + 5p

5 = 5p

p = 1

Saw A = 150 planks/30 seconds = 5 planks per second

Saw B = 130 planks/ 13 seconds = 10 planks per seconds

5 + 10 = 15 planks per second total

225 planks / 15 planks per second = 15 seconds

Answer: 15 seconds

Answer:

9

Step-by-step explanation:

I m - n I = I -7 - 2 I

{ Both are negative integers. So, add and result will have the negative sign}

            = I -9 I

            = 9

Answer:

-36

Step-by-step explanation:

We have the equation 4 lm - nl , along with the values, m is equal to -7 and n is equal to 2.

To solve, we need to only substitute the values of each variable into the original equation :

4 |-7 - 2|

First solve the equation within the absolute value, any value that comes out of those brackets become positive :

|-7 - 2|

|-9|

4|-9|

4(-9)

Now multiply to get our answer:

4(-9)

-36

Answer:

NO

Step-by-step explanation:

We can see that the denominator 7, multiplied by 4 = 28

But 3 multiplied by 4 is not 8

The proper fraction would be 12/28

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

10,582 pieces of candy.

Step-by-step explanation:

1 jar contains 286 pieces

Therefore, 37 jars contain:

37 × 286

= 10,582 pieces of candy.

Answer:

10,582 pieces of candy behind the counter

Step-by-step explanation:

multiply 37 by 286 and you get 10,582

Answer:

A.34

Step-by-step explanation:

f(4)=17

2f(4)=34

if I've understood it :/ but I've didn't understood about g(x)

Answer:

A. 34

Step-by-step explanation:

f (x) = x² + 1. f (4) simply means we should replace X with 4

so it will be

f (4) = 4² + 1

= 16 + 1

= 17

so now 2. f ( 4) means:

2. 17

which gives :

34

hope this helps

Answer:

[tex](a - b)(a + b) \\ a(a + b) - b(a + b) \\ {a}^{2} + ab - ab - {b}^{2} ( + ab \: and \: - ab \: cancel) \\ {a}^{2} - b ^{2} [/tex]

I hope it helped U

stay safe stay happy

Answer:

P=21

Step-by-step explanation:

P=a+b+c=6+7+8=21

Answer:

P= b+8

P= a+b+c

P= 6+4+b -2

P= 10-2+b

P= 8+b

P= b+8

Answer:

2

Step-by-step explanation:

3(4+2)/9= 3(6)/9=18/9 = 2

Answer:

2

Step-by-step explanation:

3(4+2)/9=(12+6)/9

=18/9

=2

Answer:

(-2 ,5) see picture

Step-by-step explanation:

y= -4x + 2

x=-y/4+1/2

Answer:

Both are equally distant from 0 on a number line.

Step-by-step explanation:

Both are equally distant from 0 on a number line, they are just in opposite directions.

Answer:

Both are same distance

Step-by-step explanation:

-8 is in the opposite direction of the positive 8

(1) Combining fractions is just a matter of writing each individual fraction in terms of a common denominator. The least common multiple of 6, 4, and 8 is

LCM(6, 4, 8) = 24

since 6×4 = 4×6 = 8×3 = 24. So

2/6 = (2×4)/(6×4) = 8/24

1  1/4 = 4/4 + 1/4 = 5/4 = (5×6)/(4×6) = 30/24

13  4/8 = 104/8 + 4/8 = 108/8 = (108×3)/(8×3) = 324/24

Then

2/6 + 1  1/4 + 13  4/8 = 8/24 + 30/24 + 324/24 = 362/24 = 181/12

(2) We have

LCM(12, 9) = 36

since 12×3 = 9×4 = 36. Then

121  2/12 = 1452/12 + 2/12 = 1454/12 = (1454×3)/(12×3) = 4362/36

781  6/9 = 7029/9 + 6/9 = 7035/9 = 2345/3

Let distances be x

ATQ

[tex]\\ \rm\hookrightarrow \dfrac{3}{4}x=45[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{3x}{4}=45[/tex]

[tex]\\ \rm\hookrightarrow 3x=45(4)[/tex]

[tex]\\ \rm\hookrightarrow 3x=180[/tex]

[tex]\\ \rm\hookrightarrow x=\dfrac{180}{3}[/tex]

[tex]\\ \rm\hookrightarrow x=60[/tex]

Answer:

I proved

Z=v

Step-by-step explanation:

Its my choice