30 points!!!
i’m looking at number 5 right now. i don’t know what -2x means. can someone show me an example of how you do it

Answer:

the population of fall river will be 48558

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Since 2010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed time, t, in years, since 2010 and the town's population, P(t left parenthesis, t, right parenthesis, is modeled by the following function. P(t)=36,800⋅[tex]2^{\frac{t}{25} }[/tex] According to the model, what will the population of Fall River be in 2020? Round your answer, if necessary, to the nearest whole number.

My answer:

Given the exponential function:

P(t)=36,800⋅[tex]2^{\frac{t}{25} }[/tex]  where:

As we know, from 2010 to 2010 are 10 years

Hence, to find the population of fall river be in 2020, we substitute t =10 into the given function:

[tex]P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558[/tex]

So in 2020, the population of fall river will be 48558

Hope it will find you well.

Answer:

By 2020 the population of Fall River will be 48558

Step-by-step explanation:

Here, we note that the equation for the model is p(t) = 36,800×2^(t/25)

That is the format;

[tex]p(t) = 36,800 \times 2^{\frac{t}{25}[/tex]

Where:

t = Number of years since 2010

Therefore, the population of the town in 2020 can be found by first finding the number of years between 220 and 2010 and plugging the value into the equation as follows;

Number of years, t = 2020 - 2010 = 10 years

Hence;

[tex]p(t) = 36,800 \times 2^{\frac{10}{25}} = 48557.89 \approx 48558[/tex]

Therefore, according to the model, by 2020 the population of Fall River will be 48558.

We have been given that a circle of a certain radius has an area which is numerically 5 times the value of the circumference. We are asked to find the radius of the circle.

We know that area of circle with a radius of r units is [tex]\pi r^2[/tex].

We know that circumference of a circle is [tex]2\pi r[/tex].

5 times the value of circumference would be [tex]5(2\pi r)=10\pi r[/tex].

Now we will equate 5 times circumference with area as:

[tex]\pi r^2 = 10\pi r[/tex]

Let us solve for r.

[tex]\pi r\cdot r = 10\pi r[/tex]

[tex]\frac{\pi r\cdot r}{\pi r}=\frac{10\pi r}{\pi r}[/tex]

[tex]r=10[/tex]

Therefore, the radius of the circle would be 10 units.

Answer:

448 subscribers use more than 15 hours per week

Step-by-step explanation:

In this question, we shall be using the proportion of what was gotten from a survey to estimate the number of subscribers that use more than 15 hours per week

From the question, we can see that out of the 50 people surveyed, 28 use more than 15-hours per week based on data

The proportion that thus use 15-hours per week based on data is 28/50

Now to know the number of subscribers out of 800 that use more than 15-hours per week based on data we have ; 28/50 * 800 = 28 * 16 = 448 subscribers

Answer:

cos(P) = 20/29

Step-by-step explanation:

Given the following information:

To ratio represents the cosine of ∠P we use the cosine law (please have a look at the attached photo)  

[tex]RQ^{2}[/tex] =[tex]QP^{2}[/tex]+ [tex]PR^{2}[/tex] − 2QP*PRcos(P)

<=> cos(P)  = ([tex]QP^{2}[/tex]+ [tex]PR^{2}[/tex] - [tex]RQ^{2}[/tex]) / 2QP*PR

<=> cos(P) =( [tex]29^{2} + 20^{2} - 21^{2}[/tex]) /2*29*20

<=> cos(P) = 20/29

Hope it will find you well.

Answer:

53/28

Step-by-step explanation:

Answer:280

Step-by-step explanation:

25% of x = 70

x= 280

Answer:

$1,096.00 per month        

Step-by-step explanation:

Divide 1776 by 12 for one payment per month equals 148.

Add the monthly house payment $948 to the monthly tax payment $148. The total monthly payment due is $1,096.00.

Answer:

The lateral surface area of the rectangular pyramid is equal to sum of area of 4 lateral triangles.

Here, the base is square, then 4 lateral triangles have equal area.

=> Lateral surface area of this rectangular pyramid:

A = (area of lateral triangle) x 4

  = (12 x 14 x 1/2) x 4 = 336 (ft2)

=> Option C is correct.

Hope this helps!

:)

The lateral surface area of the given rectangular pyramid is 336 ft²

The lateral surface of an object is all the sides of the object, excluding its base and top.

The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.

Given that, a rectangular pyramid, we need to find the lateral surface area of the rectangular pyramid,

The lateral surface area of the rectangular pyramid is equal to the sum of area of 4 lateral triangles.

Here, the base is square, then 4 lateral triangles have equal area.

Therefore, the lateral surface area of this rectangular pyramid:

A = (area of lateral triangle) x 4

= (12 x 14 x 1/2) x 4

= 336 ft²

Hence, the lateral surface area of the given rectangular pyramid is 336 ft²

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Answer:

the hcf of 32 48 and 72 is 8

Step-by-step explanation:

We have ,

32 = 2×2×2×2×2 = 2^{5}

48 = 2×2×2×2×3 = 2⁴×3¹

72 = 2×2×2×3×3 = 2³×3²

Now,

HCF(32,48,72) = 2³ = 8

/* Product of the smallest power of each common prime factors of the numbers */

The highest common factor of 3248 and 72 is 8.

The LCM of two or more numbers is the least common multiple of them.

The HCF of two or than two given numbers are the highest number that divides them completely.

Given, Are two numbers 3248 and 72.

Let us see is 3248 is completely divisible by 72, it is not.

Now, Check if 3248 is completely divisible by 36, it is not.

Other factors of 72 are 18, and 18 also does not divide 3248.

8 divides 328 complete so the HCF of 3248 and 72 is 8.

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Answer:

The answer is PQ = 17 units, PR = 8 units, QR = 15 units .

Sin P = 15/17

Cos P = 8/17

Tan P = 15/8

Sin Q = 8/17

Cos Q = 15/17

Tan Q = 8/15

Answer:

PQ= 17

PR= 8

RQ= 15

Step-by-step explanation:

Answer:

  25,133 m or 25.1 km

Step-by-step explanation:

The circumference of the tire is ...

  C = πd

  C = π(1 m)

The distance the bus traveled is 8000 times this far, so is ...

  distance = (8000)(π m) = 8000π m

Using 3.14159 for π, we find the distance to be about

  distance = (8000)(3.14159) m ≈ 25,133 m

The bus traveled about 25,133 meters or 25.1 km.

Answer:

25,133 m or 25.1 km

Step-by-step explanation:

The circumference of the tire is ...

C = πd

C = π(1 m)

The distance the bus traveled is 8000 times this far, so is ...

distance = (8000)(π m) = 8000π m

Using 3.14159 for π, we find the distance to be about

distance = (8000)(3.14159) m ≈ 25,133 m

The bus traveled about 25,133 meters

Hope this helps ;)

Answer:

143a + 221b = 1,651

Step-by-step explanation

143a + 221b = 1,651

1.Add the "a"s and "b"s together seperatly.

2.Then put them together in a equation.

3.The a you added together is 143a.The b you added together is 221b.

Answer:

84 meters.

Step-by-step explanation:

Set each tower equal to each other and you get (3.1/1.71)=(x/46.5)

Solve for X

X≈84.2982

But we want the nearest meter, so it's just 84 meters.

Answer:

84 meters

Step-by-step explanation:

The proportional value, or ratio is as the following:

[tex]\frac{3.1}{1.71} = \frac{x}{46.5}[/tex]

Now we can cross multiply in order to solve the equation...

[tex]1.71x=3.1*46.5\\1.71x = 144 \frac{3}{20}\\ x=84.3[/tex]

Rounded to the nearest meter, x is 84 meters.

Answer:

22.5π units² or about 70.65 units²

Step-by-step explanation:

11 [tex]\frac{1}{4}[/tex] is equivalent to 11.25

The formula for the circumference of a circle is 2πr. Using that formula we get:

2*π*11.25 = 22.5π ≈ 70.65

Answer:

70.69 or 22.5 pi

Step-by-step explanation:

To find the circumference of a circle, you can use the formula:

2 x pi x radius

Using this formula, we can substitute the information that we already know, and solve for the circumference:

2 x pi x 45/4

6.28 x 45/4

70.69 or 22.5 pi

Answer:

2 Hours

Step-by-step explanation:

If Jamie is going 6 miles per hour faster than Agnes, then in 2 hour Jamie should be 12 miles ahead of Agnes

Answer:

y = 2 * 3^x

Step-by-step explanation:

y = a b^x

a is the initial value ( when x = 0)

The initial value is 2

y = 2 b^x

Pick a value  (1,6) and substitute it in

6 = 2 * b^1

6 = 2 * b

Divide by 2

6/2 = 2/2 b

3 =b

y = 2 * 3^x

Let us look at the cost per can of both packs.

Cost of can in 6-pack = 1.80/6

                                      = £0.30

Cost of can in 10-pack = 3.50/10

                                     = £0.35

Since the cost of a can in the 6-pack is cheaper, it would be better to buy the 6-pack if you were looking to save money.

Answer: 100

Step-by-step explanation:

85+95+80=260 divided by 3 is 86.6 repeating and getting 100 on his next test would add up to 360 and 360/4 is 90

Final answer:

The slope of line e, which is perpendicular to line d with a slope of -7/4, is 4/7.

Explanation:

The slope of line d is -7/4. To find the slope of a line perpendicular to d, we use the property that the product of the slopes of two perpendicular lines is -1. So, the slope of line e is the negative reciprocal of -7/4.

To find the negative reciprocal, we find the reciprocal by flipping the fraction and then negate it by changing the sign. Therefore, the slope of line e is 4/7.

Answer:

1/6

Step-by-step explanation:

11/12-3/4

=11/12-9/12

=2/12

=1/6

Answer:

2/12 or 1/6

Step-by-step explanation:

11/12-3/4

First convert the 3/4 to 9/12 becase the numbers have to have the same denominater.

3/4=9/12

11/12-9/12=2/12

Simplified would be 1/6

B. East Side is more consistent at winning.

&

C. East Side typically wins more debates per year than West Side.

Answer:

If I remember correctly,

P x 9 = $60.75 and 6 x(times) $1.25=c

Step-by-step explanation:

First problem:

Since the total price of all 9 sandwiches is $60.75, that means that the price of one sandwich nine times will equal the total price.

Second problem:

Rather than giving you the total price, it gives you the price of one drink, so to find the total price you would need to multiply the price of one drink by the number of drinks to get the total (the total being c in this case)

Step-by-step explanation:

Step 1:  Distribute

[tex]3(4x - 2) = 9 + 2x + 5[/tex]

[tex](3 * 4x) + (3 * -2) = 14 + 2x[/tex]

[tex]12x - 6 = 14 + 2x[/tex]

Step 2:  Add 6 to both sides

[tex]12x - 6 + 6 = 14 + 6 + 2x[/tex]

[tex]12x = 20 + 2x[/tex]

Step 3:  Subtract 2x from both sides

[tex]12x - 2x = 20 + 2x - 2x[/tex]

[tex]10x = 20[/tex]

Step 4:  Divide both sides by 10

[tex]10x / 10 = 20 / 10[/tex]

[tex]x = 2[/tex]

Answer:  [tex]x = 2[/tex]

Answer:

Circumference = 65.97344573

Step-by-step explanation:

Given the diameter of a circle, we can use the formula C = πd to find the circumference.

C = circumference

π = pi

d = diamater

Equation: 21(π) = 65.97344573

Make sure to round to whatever decimal place is asked for!

Answer:

170

Step-by-step explanation:

The distance between 120 and -50 on a number line is equal to 170.

In Mathematics and Euclidean Geometry, a number line is a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values that are located at equal intervals along its length.

This ultimately implies that, every number line would primarily increase in numerical value towards the right from zero (0) and decrease in numerical value towards the left from zero (0).

Based on the information provided above, we would determine the distance between the two numerical values 120 and -50 by using the number line as follows:

x = 120 - (-50)

x = 120 + 50

x = 170.

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Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

Answer:

The answer is 14.25 pounds.

Step-by-step explanation:

If the package contains 4 bags of flour and a 7 pound bag of sugar which weighs 64 pounds in total;

I hope this answer helps.

Answer:

it is c hope it helps have a good day

Answer:

(C) The ratio of boys who preferred C is equal to the ratio of girls who preferred C

Step-by-step explanation:

A is incorrect because the ratio of girls to boys in the survey is 120/80 which is 60%

B is incorrect because the ratio of girls who prefrerred B to the ratio of boys is 10/25 not 10/35

D is incorrect because once again 20/15 does not equal 20/35

C is the correct answer and the only correct answer despite the multiple choice question because the ratio of boys that preferred c to girls is the exact same

Answer:

Step-by-step explanation:

Given that,

The company makes 4 different sweat shirts

Each year they make 60,000 of each kind.

So, if they will make 60,000 sweat shirt for each brand and the company design 4 different brand.

So, number of brand is 4

n = 4.

Then,

1 brand = 60,000

Therefore, 4 brand = 60,000 × 4

4brand = 240,000 sweat shirts.

So, in a year the company will make 240,000 sweat shirts.

The company makes a total of 240,000 sweatshirts each year by producing 60,000 of each of the 4 different kinds.

The question asks for the total number of sweatshirts produced by a company each year if it makes 60,000 of each kind and there are 4 different kinds of sweatshirts.

Therefore, the company makes a total of 240,000 sweatshirts each year.