ven the diagram below, find the value of x:



a
27.5
b
62
c
8.5
d
31

Answer:

See explanation

Step-by-step explanation:

We have that;

P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)

a) rate at which Glen Cove's population is changing with respect to time.

dP/dt = (t^2 + 5t + 40) (50t + 125) - (25t^2 + 125t + 200) (2t + 5)/(t^2 + 5t + 40)^2

dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2

b)  population after 10 years

P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)

P(t) =(25(10)^2 + 150(10) + 100)/((10^2 + 6(10) + 24)

P(t) = 4100/184

P(t) = 22283

c) when t = 10

dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2

dP/dt = 1000(10) + 3000/(10^2 + 6(10) + 24)^2

dP/dt = 13000/33856

dP/dt = 0.384

Answer:

The fraction of the people who choose curry = [tex]\frac{13}{4}[/tex]

Step-by-step explanation:

As given,

Starter              Main course

Soup                    Lasagna

Prawns                 Curry

The number of people who choose soup: the number of people who choose prawns = 2 : 3

Of those who chose soup,

The number of people who choose Lasagna : the number of people who chose curry = 5 : 3

Of those who chose prawns,

The number of people who chose Lasagna : the number of people who chose curry = 1 : 5

Let total number of people goes to restaurant = 5x

People who choose soup = [tex]\frac{2}{5}[/tex]×5x = 2x

People who choose prawns = [tex]\frac{3}{5}[/tex]×5x = 3x

Now, given,

Of those who choose soup,

The number of people who choose Lasagna : the number of people who chose curry = 5 : 3

So,

People who choose Lasagna after choosing soup = [tex]\frac{5}{8}[/tex]×2x = [tex]\frac{5}{4}x[/tex]

People who choose Curry after choosing soup = [tex]\frac{3}{8}[/tex]×2x = [tex]\frac{3}{4}x[/tex]

Also, given,

Of those who chose prawns,

The number of people who chose Lasagna : the number of people who chose curry = 1 : 5

So,

People who choose Lasagna after choosing prawns = [tex]\frac{1}{6}[/tex]×3x = [tex]\frac{1}{2}x[/tex]

People who choose Curry after choosing prawns = [tex]\frac{5}{6}[/tex]×3x = [tex]\frac{5}{2}x[/tex]

So,

Total number of people who choose curry = [tex]\frac{3}{4}x[/tex] + [tex]\frac{5}{2}x[/tex] = [tex]x ( \frac{3}{4} + \frac{5}{2} ) = x (\frac{3 + 10}{4} ) = x ( \frac{13}{4} ) = \frac{13}{4}x[/tex]

So ,

The fraction of the people who choose curry = [tex]\frac{Total number of people who choose curry}{Total number of people who go to restaurant} = \frac{\frac{13}{4} x}{x} = \frac{13}{4}[/tex]

Answer:

3x-36 is equivalent to 3(x-12)

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Answer:

  x = 12

Step-by-step explanation:

We can find x using either the measure of angle B, or the measure of angle A.

Using A, we have ...

  48 = x^2 -8x

Adding 16 completes the square:

  64 = x^2 -8x +16 = (x -4)^2

Then the positive solution is ...

  √64 = x -4

  x = 4 +8 = 12

The triangles are similar when x=12.

__

Check

We expect angle B to be 84° when x=12:

  (x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed

Answer:

3.25 minutes

Step-by-step explanation:

117 ÷ 36 = 117

Answer:

3.25 min

Step-by-step explanation:

copies. time

36. 1

117. x

36×x= 117×1

x. = 117÷36

x. = 3.25 min

Answer:

Answer:

x = 9

y = 9√3 = 15.6

Step-by-step explanation:

The triangle given is a right triangle, therefore:

✔️apply trigonometric ratio formula to find x:

Reference angle = 60°

Hypotenuse = 18

Adjacent = x

Thus:

Cos (60) = x/18

Multiply both sides by 18

18×cos(60) = x

9 = x

x = 9

✔️find y by applying pythagorean theorem:

y² = 18² - x² (pythagorean theorem)

y² = 18² - 9² (substitution)

y² = 243

y = √243

y = √(81*3)

y = 9√3 = 15.6

Answer:

[tex]Blue =1\frac{3}{5}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 1\frac{1}{3}[/tex]

[tex]Red = 1\frac{2}{3}[/tex]

Required

Determine the amount of blue paint when Red = 2

To do this, we make use of the following equivalent ratios

[tex]Ratio = Blue : Red[/tex]

When  [tex]Blue = 1\frac{1}{3}[/tex] and  [tex]Red = 1\frac{2}{3}[/tex]

[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

When Red = 2

[tex]Ratio = Blue : 2[/tex]

Equate both ratios

[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

Convert to division

[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]

Convert fractions to improper fraction

[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]

Make Blue the subject

[tex]Blue =\frac{4}{5}*2[/tex]

[tex]Blue =\frac{8}{5}[/tex]

[tex]Blue =1\frac{3}{5}[/tex]

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many  beads are purple, multiply the total beads by the fraction of the beads that are purple

so

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

so

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

Answer:

x = 18

Step-by-step explanation:

So, we know that the formula for volume is the base of the shape * height. So, 6x is the area of the base because the area of a triangle is (l * W)/2. Next, we have to multiply 6x by the height of the shape. The height is 6, so the volume of the shape will 36x. Since we have the actual volume, all we have to do is divide 648/36 to get 18.

The image necessary to answer this question is below in the attachment.

Answer: No.

Step-by-step explanation: For this hanger to be in equilibrium, both sides have to equal.

The diagram can be represented as

x + 1 + 1 = 1 + 1 + 1 + 1 + 1

x + 2 = 5

x = 3

So, for this hanger to work, x = 3.

Answer:

[tex]2(25)^{\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The volume of a cube is 200 cm².

We need to find the edge length of the cube.

The formula for the volume of a cube is given by :

[tex]V=a^3[/tex]

a is the side of the cube

[tex]a=\sqrt[3]{200} \\\\=(200)^{\dfrac{1}{3}}\\\\=(25\times 8)^{\dfrac{1}{3}}\\\\=(25)^{\dfrac{1}{3}}\times (8)^{\dfrac{1}{3}}\\\\=2(25)^{\dfrac{1}{3}}[/tex]

So, the edge length of the cube is [tex]2(25)^{\dfrac{1}{3}}[/tex].

Answer:

it will have 56 gallons

Step-by-step explanation:

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Answer:

  see the attachment

Step-by-step explanation:

The sum of angles is 180°, so the value of x is found by subtracting the given angles from 180°.

For example, ...

2. x = 180° -23° -68° = 89°

__

When a number of similar calculations are required, I like to enter the formula once and let a spreadsheet do the math. In the attached, the units of x are degrees. The problems are in order 1–4.

Answer: 16

Step-by-step explanation: Good luck! :D

Answer:

It’s 16

Good luck

I honestly lost most of my brain cells Bc of quarantine so I’m glad I figured this out

Answer:

I believe A?

Step-by-step explanation:

Answer:

1/5 chance or 20% chance.

Step-by-step explanation:

When doing this problem we can start with only being able to go for 7 and up. This already makes us go down to a 3/10. Now we have 8, 9, and 10. Only two of those numbers are even 8, and 10. Which gives us a 2/10. 2/10 then simplifies to 1/5.

:D

Probability helps us to know the chances of an event occurring. The probability that the first card is an even number and the card is greater than 7 is 0.15.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability that the first card is an even number and the card is greater than 7 is,

Probability = (5/10)×(3/10) = 15/100 = 0.15

Hence, the probability that the first card is an even number and the card is greater than 7 is 0.15.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ2

Answer:

its 192 fluid ounces

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

Sorry i don't know how to type my work out. (But i did check my work 3 times you can rest easy because this answer is correct.)

Answer:

Area of polygon = 18

Step-by-step explanation:

the given points are :

Point A (2.5)

Point B (8,5)

Point C (8,9)

Point D (5,7)

Point E (2,9)

Firstly , create the array

A     2       5

B     8       5

C     8       9

D     5       7

E      2      9

A      2      5

Now,

Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.

⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)

Now,

Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result

⇒ 40 + 40 + 45 + 14 + 18 = 157   ........(2)

Now, Subtract equation (2) from equation (1), we get

193 - 157 = 36

Now, Divide by 2 to get the area of polygon

∴ we get

Area of polygon = 18

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Answer:

  51.3°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.

Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:

  Tan = Opposite/Adjacent

  tan(y) = (10 cm)/(8 cm) = 1.25

Then the angle is found from the inverse tangent function:

  y = arctan(1.25)

  y ≈ 51.3°

Answer:

calcule bruto malparido

Answer:

Step-by-step explanation:

The histogram of the distribution plotted with the frequency density on the y - axis and the interval for the length of time on the x - axis is attached below.

Therefore, the histogram of the distribution is attached below.

Learn more :https://brainly.com/question/14421716

Answer:

14,245

Step-by-step explanation:

First you find 4.6% of 18,500 which is 851. Then you multiply 851 by the years, which is 5, and you get 4255. Lastly just subtract 4255 from 18500.

Step-by-step explanation:

The Answer Is 24 - h

As, 24 Is Less Than "h"

Answer:

a huge mansion out somehwere in europe or go traveling around the world

Step-by-step explanation:

can you imagine wow

Answer:

I would give some to people who are homeless and need help paying rent and ig get a mansion.

Step-by-step explanation: Ty for free pointz. Have a great day!

Problem 17

The graph is shown below.

The domain is [tex]x \ge -1[/tex] which is found by solving [tex]x+1 \ge 0[/tex]. This is done to ensure that the stuff under the square root is not negative. Note the left-most point of the graph has x = -1 as its x coordinate.

The domain in interval notation is [tex][-1, \infty)[/tex] we have a square bracket at -1 and a curved parenthesis at infinity.

The range is [tex]y \le 3[/tex] based on what the graph shows. This is directly tied to the +3 at the end of the function. The parent's function max value is y = 0, so that plus 3 shifts everything up 3 units so that the new translated function has a max of y = 3.

The range in interval notation is [tex](-\infty, 3][/tex] we use a square bracket to include 3 as part of the interval.

Throughout the entire function, the curve is going downhill as we move from left to right. The graph shows this. We could also use a table of values to see that as x gets bigger, y gets smaller.

So the function is never increasing. The function decreases on the interval (-1, infinity) which is the entire domain.

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

Problem 18

The graph is shown below. It's in a separate attachment.

The domain and range are the set of all real numbers. The graph shows that the curve extends forever to the left and right. Also, the graph extends forever upward and downward (regardless if that growth seems really slow).

The domain and range in interval notation is [tex](-\infty, \infty)[/tex] to indicate the entire real number line.

The graph goes uphill as we read from right to left, so the function is increasing on the interval [tex](-\infty, \infty)[/tex]. In other words, no matter where you are, you're going uphill if you move from left to right. This rules out the function ever decreasing.

We can use a table of values to see that the function is increasing if we cannot rely on the graph. As x gets bigger, so does y.

Answer:

1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{0.7}{4.2}

4.2

0.7

, then

x = sin^{-1}sin

−1

(\frac{0.7}{4.2}

4.2

0.7

) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{y}{176}

176

y

( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}

hypotenuse

adjacent

= \frac{x}{176}

176

x

( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance