The population of a certain city can be modeled by P = 130,000(1.018)t.

Describe what is happening to
the
population as the number of years, t, increases.

A. The population is decreasing
B. The population is increasing
C. The population remains constant
D. The population change is inconsistent

Using relations in a right triangle, it is found that the length of the zip line is of 40.4 feet.

The relations in a right triangle are given as follows:

This situation can be modeled by a right triangle, in which the extension of the zip line of 48.2 feet is the hypotenuse and the length is the adjacent side to the angle of 33º, hence:

[tex]\cos{33^\circ} = \frac{l}{48.2}[/tex]

l = 48.2 x cos(33º)

l = 40.4.

The length of the zip line is of 40.4 feet.

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Answer:

The answer is C!

Step-by-step explanation:

You just have to count the all the x's that are at 50 and after!

I hope this helps you!

Answer:

C) 4

Step-by-step explanation:

All the X's are the amount of students. Now we eliminate everything before 50.

Now we count the X's which will be 4

Hope this helps :D

Answer:

50 copies/minute

Step-by-step explanation:

10 copies =  [tex]\frac{1}{5} minute[/tex]

So to find the number of copies per minute, multiply the equation by 5:

50 copies = 1 minute

Answer:

50 per minute

Step-by-step explanation:

We are given the information that the copy machines prints 10 per 1/5 minute. In order to find the rate per one minute, we can multiply both values by 5. This is because 1/5 x 5 = 1, since we multiply by 5x the given time, the machine will produce 5x the amount of copies in that amount of time.

10x5 = 50

Therefore the machines prints 50 copies per minute.

Hope this helped!

Answer:

area of first

parallelogram

= 25x8

=200m^2

area of second

parallelogram

12x7

=84f^2

Step-by-step explanation:

I hope it's helpful for you

Answer:

4

Step-by-step explanation:

Since it is a square all sides are the same. For the first one 5 x 5 eqals 25. For the second one since it has a 2 on one side we multiply 2 x 2 to get 4.

Step-by-step explanation:

[tex] \frac{12w + 8}{6} = \frac{8w - 16}{3 } \\ 36w + 24 = 48w - 96 \\ 36w - 48w = - 96 - 24 \\ - 12w = - 120 \\ w = 10[/tex]

Answer:  [tex]\frac{7}{120}[/tex]

Step-by-step explanation:

Answer:

range is 5

mean is 9

Step-by-step explanation:

Answer:

B. Multiply/divide only one side by a non-zero constant

Step-by-step explanation:

Equation B is dividing the left side of the equation by 3, which is a non-zero constant, but it is not dividing the right side of the equation.

Total number  of pieces of paper =  11

Number of  pieces with a vowel =  4

Probability of picking a vowel = 4/11 (answer)

Answer:

$11.34

Step-by-step explanation:

I think you meant tenth where you said “nearest cent”, so it’s $11.30.

Answer:

$11.34

Step-by-step explanation:

i hope u get this right.

Answer:

18

36

72

144

Step-by-step explanation:

For numbers to be divisible by 2 they must end in an even number

For numbers to be divisible by 9 the sum of the digits must be divisible by 9

The town of Komani and Maletswai will be passed by Tshepo and his friends if they take N6 from Bloemfontein to East London.

The location is a national route in South Africa that connects the East London with Bloemfontein the via route of Komani and Maletswai.

The Komani is a town in the middle of the Eastern Cape Province of South Africa while the Maletswai is also a town in central South Africa on the banks of the Orange River, Eastern Cape Province of SA.

Therefore, the town of Komani and Maletswai will be passed by Tshepo and his friends if they take N6 from Bloemfontein to East London.

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The expressions equivalent to  -6 + 4q + (-6q) is C. None of the above

The expression -6 + 4q + (-6q) can be simplified to -2q - 6,

Evaluating the given options, we have

Option (b); 2(q - 3) = 2q - 6

Option (c): -6(q + 1) - 4q = -10q - 6

Therefore, None of the above expressions are equivalent

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BEST ANSWER :

[tex]1 \frac{4}{5} \div \frac{2}{3} - 1 \frac{5}{7} [/tex]

=

[tex] \frac{7 + 4}{7} \div \frac{2}{3} - 1 \frac{5}{7} \\ \frac{11}{7} \div \frac{2}{3} - 1 \frac{5}{7} \\ \frac{11}{7} \div \frac{2}{3} - \frac{7 + 5}{7} \\ \frac{11}{7} \div \frac{2}{3} - \frac{12}{7} \\ \frac{11}{7} \times \frac{3}{2} - \frac{12}{7} \\ \frac{11 \times 3}{7 \times 2} - \frac{12}{7} \\ \frac{33}{7 \times 2} - \frac{12}{7} \\ \frac{33}{14} - \frac{12}{7} \\ \frac{33}{14} - \frac{12 \times 2}{14} \\ \frac{33}{14} - \frac{24}{14} \\ \frac{33 - 24}{14} \\ \frac{9}{14} [/tex]

Answer:

∠BIF = 126°

∠JBC = 63°

∠BJD = 117°

Step-by-step explanation:

adjacent angles in a rhombus add up to 180°

∠IBJ and ∠BIF are adjacent angles in a rhombus

thus,

∠IBJ + ∠BIF = 180°

54° + ∠BIF = 180

subtract 54 from both sides to isolate the variable

∠BIF = 126°

a line is 180°

thus, ∠IBA + ∠IBJ + ∠JBC = 180° as those three angles form a line

as the parallelograms are congruent, and we can visually notice that ∠IBA corresponds to angle ∠JBC, we can say that ∠IBA = ∠JBC

thus,

∠IBA + ∠IBJ + ∠JBC = 180°

54° + ∠JBC + ∠JBC = 180°

54° + 2∠JBC = 180

subtract 54 from both sides to isolate the variable and its coefficient

126° = 2∠JBC

divide 2 from both sides to isolate the variable

∠JBC = 63°

adjacent angles in a parallelogram add up to 180°

∠JBC and ∠BJD are adjacent angles in a parallelogram

∠JBC + ∠BJD = 180°

63° + ∠BJD = 180°

subtract 63 from both sides to isolate the variable

∠BJD = 117°

Answer:

85 cm

Step-by-step explanation:

the strut forms a right triangle with the end of the pole.

let the ends of the strut be x from the top of the pole . then

using Pythagoras' identity with 2 legs x and hypotenuse 1.2

x² + x² = 1.2²

2x² = 1.44 ( divide both sides by 2 )

x² = 0.72 ( take square root of both sides )

x = [tex]\sqrt{0.72}[/tex] ≈ 0.85 m ( to 2 dec. places )

the ends are 0.85 m = 85 cm from the top of the pole

Answer:

+g=3/16+5/4

the answer : 3/16+5/4

Answer:

1/2 or 50%

Step-by-step explanation:

There are 2 blue slices and 1 yellow slice. Then there are 3 red slices. Since  3 is half of 6, and the blue and yellow slices make 3, The answer will become 1/2 0r 50%.

Answer:

D.) 1,000 ft³



If the base of the pool is 200 square feet in size, then we can just multiply 200 by the depth of 5 to equal 1,000 ft³ which is equal to the volume of the pool.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Step-by-step explanation: I think not sure.

Answer: The solutions are where the graphs of the functions intersect at x = -3.464 and x = 3.464

Step-by-step explanation:

Answer:

[tex]33 {ft}^{2} [/tex]

Step-by-step explanation:

SA = 4(Area of ) + Area of ⬜

= 4(bh/2) + l*b

[tex]4(3 {ft}\times 4ft) \div 2 + (3ft \times 3ft)[/tex]

[tex]4 \times (12 {ft}^{2}) \div 2 + 9 {ft}^{2} [/tex]

[tex]24 {ft}^{2} + 9{ft}^{2} [/tex]

[tex]33 {ft}^{2} [/tex]

do you still have time?

.........

Answer:

someone would probably collect the amount of students go to the beach and how they spend their time at the beach.

Answer:

Step-by-step explanation:

(0,2), (2,3), (4,4), (6,5), (8,6), (10,7) are the coordinates.

The arc measure of the arc BC is 155°.

A complete circle has an arc, that is, a central angle of 360°. whose sum of angles is shown below:

AD + AB + BC + CD = 360°

Where AD = 155°

Since the four angles are generated by two diameters, then we find that AD = BC and AB = CD. Hence:

2 · AD + 2 · AB = 360                          Given

AD + AB = 180                                     Compatibility with multiplication / Existence of the multiplicative inverse / Modulative property

AB = 180 - AD                                      Compatibility with addition / Existence of the additive inverse / Modulative property

AB = 180 - 155                                     Given

AB = 25                                                Definition of subtraction / Result

Then, the arc measure of the arc BC is 155°.

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