The ratio of the measures of three sides of a triangle is 2: 5: 4 , and its perimeter is 165 units. Find the measure of each side of the triangle.

Answer:

25%

Step-by-step explanation:

We are given that

Initial height of sunflower=160 cm

After increasing

Final height of sunflower=2m

We have to find the percentage increase in height.

1 m=100 cm

\(2m=2\times 100=200cm\)

Increase in height of sunflower=Final height of sunflower-initial height of sunflower

Increase in height of sunflower=200-160=40cm

Percentage increase=\(\frac{Increase\;value}{Initial\;value}\times 100\)

Using the formula

Percentage increase in height=\(\frac{40}{160}\times 100\)

Percentage increase in height=25%

Answer:

e, b, c

Step-by-step explanation:

The ratio of red marbles to black marbles is 9:4, this implies:

By cross-multiplying and solving for x, we have:

Thus, the number of red marbles is 64+80=144 and the number of black marbles is 64.

Hence, the total number of marbles in the bag is:

1,2,5 square root both sides

Answer:

c=3

Step-by-step explanation:

The true statement about the function are;

⇒ The function is positive for all real values of x, where x < –1.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The graph of the function;

f(x) = –(x + 3)(x – 1)

Now,

Graph of the function is shown in attached image.

Which is a parabola, It goes through (- 3, 0), has a vertex at (- 1, 4), and goes through (1, 0).

Clearly, When x < -1

Take x = 0 < -1

The value of function;

f(x) = –(x + 3)(x – 1)

    = - (0 + 3) (0 -1)

    = -3 x -1

    = 3

The function is positive.

Thus, The true statement about the function are;

⇒ The function is positive for all real values of x, where x < –1.

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Answer:

C. g(x) = -|x|

Step-by-step explanation:

|x| is an upwards v centered at the origin

- |x| is a downwards v centered at the origin

The solution to the system of equations x² + y² + 67x + 3y + 22 = 0 and 3x + y - 3 = 0 is (-2, 9)

A system of equations is a collection of at least two equations.

In this case, the system of equations is given as

x² + y² + 67x + 3y + 22 = 0

3x + y - 3 = 0

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (-2, 9)

Hence, the solution is (-2, 9)

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The number of ounces gained by the Kitten before it went home with its new owner is; 3 1/8 ounces.

It follows from the task content that the it is required that the weight gained by the kitten in ounces is to be determined.

Since the kitten weighed 5 1/2 ounces on the day it was sold and weighed; 3 3/8 ounces at birth, the number of ounces gained is;

= 5 1/2 - 3 3/8

= 11/2 - 27/8

= (44 - 27)/8

= 17/8

= 2 1/8 ounces.

Ultimately, the weight gained by the kitten, in ounces following evaluation from the task content is; 2 1/8 ounces.

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In order to get the value of n, which is what we are trying to find, it is important to know how to isolate the variable.

When something is added to n, you subtract to isolate n. Going with this logic, you would multiply by a number if you wanted to isolate n with a fraction.

\(\frac{n}{5}+4=-4\)

The first step would be to get rid of the 4 on the left side so we can work on the variable. We can do this by subtracting both sides by 4, so the left side cancels out to 0.

\(\frac{n}{5}+4-4=-4-4\)

\(\frac{n}{5} =-8\)

Next, we can multiply both sides by 5, so we can isolate the variable, because it is being divided by 5.

\(\frac{n}{5} *5=-8*5\)

n=-40

Answer:

Ok

Step-by-step explanation:

Answer:

3240°

Step-by-step explanation:

Formula is ( 2n-4)90° where n is the no of sides

(2×20-4)90°

(40-4)90°

36×90

3240°

Answer:

First, we know that the 0 in the horizontal axis corresponds to the noon.

Then:

a) Lin's elevation at noon in meters.

We need to see the elevation when x = 0.

This is the point that is just on top of the y-axis, we can see that when x = 0, we have y = 6.

Then at noon, her altitude was 6 meters.

b) At 8:00 am, her elevation was 2m

Remember that the x-component represents time, and x = 0 represents the noon.

8:00 am is 4 hours before noon, then 8:00am is represented with x = -4

and at this time her elevation is 2m, then y = 2.

This means that the point that represents this is (-4, 2)

c) At 4:00 pm Lin was at sea level (her elevation was 0m)

Same reasoning than before: x = 0 is the noon, then 4:00 pm is four hours after this, then 4:00 pm is represented with x = 4.

And here her altitude is 0m, then y = 0.

This point is written as (4, 0)

d) Here we can see that at 6:00 am her elevation was negative, and at 4:00pm her elevation is 0.

And we know that:

0 > negative numbers.

Then her altitude increased in this interval of time.

Answer:

Its 0

Step-by-step explanation:

The three-period moving average forecast for period 6 is 5215, rounded to the nearest whole number. This is calculated by averaging the last three periods of actual sales data, which are 5035, 4886, and 5724.

The three-period moving average forecast is a simple forecasting method that takes the average of the last three periods of actual sales data. This is a relatively easy method to calculate, and it can be a good starting point for forecasting future sales.

In this case, the three-period moving average forecast for period 6 is 5215. This is calculated by averaging the last three periods of actual sales data, which are 5035, 4886, and 5724. To calculate the average, we simply add these three numbers together and then divide by 3. This gives us a forecast of 5215.

It is important to note that this is just a forecast, and the actual sales for period 6 may be different. However, the three-period moving average forecast is a good starting point for estimating future sales.

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Answer: what he said^

Step-by-step explanation: i like the points

The kicker's ability to punt the ball any distance from the goal line means that the domain is unlimited in range.

As a transformation of f(x), g(x) carries the same infinity of values within its range as well with a limit up to 25.

Decidedly opening downwards, f(x)'s parabola possesses a vertex located at (30, 25). For playing according to territory: representing the kicker’s goal line, x = 30 houses the vertex of f(x) , so punting happens closer there.

In sum, while f(x) equips football players to strategically understand their field posisioning ranging  across all heights, trajectory of direction & ranges, executing effective plays based on the available resources; along with g(x) which offers a modified visual representation- they both obey the constraints of physics-based rules.

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Answer:

38π

Step-by-step explanation:

The circumference of a circle is calculated by multiplying the diameter of a circle by π. The radius is half of the diameter. So 19 x 2 = 38. 38π

For radius of a circle 19 in. its circumference in terms of π is,

⇒  38π inch

We have to given that;

The radius of a circle is 19 in.

Now, We know that;

Circumference of circle = 2πr

Where, 'r' is radius.

Here, r = 19 in.

Hence, The value of Circumference of circle is,

= 2πr

= 2π × 19

= 38π inch

Thus, For radius of a circle 19 in. its circumference in terms of π is,

⇒  38π inch

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The number of cookies prepared in an hour is \(3\frac{27}{32}\) cookies.

Given that, 8 ⅕ cookies can make in 1 ¹/₃ of an hour.

Here, 8 ⅕ can be written as 41/8 and 1 ¹/₃ can be written as 4/3.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Now, unit rate = Number of cookies/Number of hours

= 41/8 ÷ 4/3

= 41/8 × 3/4

= 123/32

= \(3\frac{27}{32}\)

Therefore, the number of cookies prepared in an hour is \(3\frac{27}{32}\) cookies.

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The solution is of k = 17/3, using operations with mixed numbers in the context of this problem.

A mixed number is modeled as follows:

a b/c.

In which:

The fractional version of the number is as follows:

(ac + b)/c

Hence the fractional equivalent of the numbers in this problem are as follows:

The value of k is calculated as follows:

2 5/12= -3 1/4 +k

29/12 = -13/4 + k

k = 29/12 + 13/4

k = 29/12 + 39/12

k = (29 + 39)/12

k = 68/12

k = 34/6

k = 17/3.

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Answer: m=4

Step-by-step explanation:

Y2-y1 over x2-x1 =

23-3

Over

8-3

The answer is 20/5 simplified is 4.

The slope is m=4

Slope is represented by the letter m.

Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.

To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:

OCF = Year 1 Revenues - Year 1 Costs

OCF = $192,000 - $125,000

OCF = $67,000

To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.

The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:

Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues

Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.

The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:

ATSV = Salvage Value percentage * Initial Cost

ATSV = 28% * $390,000

ATSV = $109,200

To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.

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The complete question is:

Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000  7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

Answer:

Eric forgot to add 2 to both sides.

Step-by-step explanation:

He forgot to add 2 to both sides so that he cancel out the -2 from the equation. Then the equation would become 2/5v=6 the you would divide those two and your answer would be  1/15.

We can use a one-sample t-test to examine the null hypothesis that the median weekly income for homes zoned for the school is at least $550.

The significance level, which in this instance is stated as 0.05, determines the crucial value for the t-test. We must locate the key value in the right-tail of the t-distribution because we are performing a one-tailed test (seeking proof that the average weekly wage is at least $550).

We may calculate the t-value as follows: t = (sample average - hypothesised mean) / (sample standard deviation / sqrt(sample size)) using the sample average of $540, the standard deviation of $86, and the sample size of 48.

t = (540 - 550) / (86 / sqrt(48))We can determine using statistical tools or a t-table

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Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

The value of x in the parallel line is 11.

When parallel lines are cut with a transversal line, angle relationship are formed such as corresponding angles, alternate interior angles, alternate exterior angles, corresponding angles, vertically opposite angles etc.

Therefore, let's use the angle relationship to find the value of x .

Hence,

6x + 14 = 80(corresponding angles and vertically opposite angles)

6x + 14 = 80

subtract 14 from both sides of the equation

6x + 14 - 14 = 80 - 14

6x = 66

divide both sides of the equation by 6

x = 66 / 6

x = 11

Therefore,

x = 11

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The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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Answer:

3960.4 bacteria

Step-by-step explanation:

The formula to solve the above question is given as:

P(t) = Po (2) ^t/k

P(t) = Population after time t = ?

Po = Initial population = 650 bacteria

t = Time in days = 7.3 days

k = doubling time = 2.8 days

P(t) = 650 × (2)^7.3/2.8

P(t) = 650 × 2^2.6071428571

P(t) = 650 × 6.0929582599

P(t) = 3960.4228689 bacteria.

Approximately = 3960.4 bacteria

Therefore, the number of bacteria the researcher will have after 7.3 days if they started with 650 bacteria is 3960.4 bacteria.

Answer:

£165.60

Step-by-step explanation:

20% discount means he pays 80%

so,

6(80% x £34.50) = £165.60

Topic: Percentage

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