When measuring the wind speed of a hurricane or similar storm, meteorologists don't want to get hit by flying debris. They use a measure available to them in the comfort of their TV studio. Luckily for the meteorologists, the barometric pressure is linearly related to the wind speed. Suppose scientists compared the wind speeds and barometric pressure readings of two severe storms over the Atlantic Ocean. For one of the storms, the barometric pressure was 1,000 mb (millibars), and the maximum wind speed was 100 kmh (kilometers per hour). The second had a barometric pressure of 960 mb and maximum wind speeds of 180 kmh.

The simplified form of the 8b³c² + 4b³ c²  is (c) 12b³c².

The expression, 8b³c² + 4b³c², can be simplified by combining like terms. Both terms have the same variables, b³c², but with different coefficients. To simplify, we add the coefficients together: 8 + 4 = 12. Therefore, the simplified form of the expression is 12b³c².

This means that the sum of 8b³c² and 4b³c² is equal to 12b³c². The variables b and c are raised to the powers of 3 and 2, respectively, and they remain unchanged in the simplified form. The only change is the coefficient, which is 12.

Hence, the correct answer is c. 12b³c² By combining the terms and adding their coefficients, we have simplified the expression to its simplest form, representing the sum of the two terms.

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The function y = sin x / (1 + cos x) has a domain of all real numbers except for x = (2n + 1)π. It intersects the x-axis at x = nπ and the y-axis at y = 0. The function is symmetric about the y-axis. There  is a horizontal asymptote at y = -1. It increases on intervals where -π/2 < x < π/2 and decreases on intervals where π/2 < x < 3π/2. There are no local maximum or minimum values. The concavity of the function changes at x = nπ and there are no points of inflection.

A. The domain of the function y = sin x / (1 + cos x) includes all real numbers except for values of x that make the denominator equal to zero. In this case, the denominator is 1 + cos x, which is equal to zero when cos x = -1. Solving for x, we find x = (2n + 1)π, where n is an integer. Therefore, the domain is all real numbers except for x = (2n + 1)π.

B. To find the x-intercepts, we set y = 0 and solve for x. Setting sin x / (1 + cos x) = 0, we have sin x = 0. This equation is satisfied when x = nπ, where n is an integer. Hence, the function intersects the x-axis at x = nπ. The y-intercept is found by substituting x = 0 into the function, which gives y = 0 / (1 + 1) = 0.

C. The function y = sin x / (1 + cos x) is symmetric about the y-axis. This can be observed from the fact that replacing x with -x in the function does not change its value.

D. There are no vertical asymptotes for this function since the denominator is never zero. However, as x approaches positive or negative infinity, the function approaches a horizontal asymptote at y = -1.

E. The function increases on intervals where -π/2 < x < π/2 because the value of sin x is positive and the value of cos x is always greater than or equal to -1. It decreases on intervals where π/2 < x < 3π/2 because the value of sin x is negative while the value of cos x remains greater than or equal to -1.

F. The function y = sin x / (1 + cos x) does not have any local maximum or minimum values since it is always changing and never reaches a maximum or minimum point.

G. The concavity of the function changes at x = nπ, where n is an integer. Specifically, the function changes from concave up to concave down or vice versa at these points. However, there are no points of inflection where the concavity changes from concave up to concave down or vice versa.

H. Based on the information above, we can sketch the curve of the function. The curve will be symmetric about the y-axis, intersecting the x-axis at x = nπ and the y-axis at y = 0. It will approach a horizontal asymptote at y = -1 as x approaches positive or negative infinity. The curve will increase on intervals where -π/2 < x < π/2 and decrease on intervals where π/2 < x < 3π/2. There are no local maximum or minimum points, and the concavity changes at x = nπ, but there

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If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90

If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4

The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Given to us

To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.

To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.

A.)  If We are making 30 servings of bread and using 0.45 oz of yeast,

As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,

\(\rm \dfrac{Yeast}{Flour} = \dfrac{1}{200}\)

Using the ratio for 0.45 oz of yeast,

\(\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}\)

\(\rm {Flour} = 200 \times 0.45\ oz\)

\(\rm {Flour} = 90\ oz\)

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

B.)  If We are making 90 servings of bread and using 720 oz of flour,

As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,

\(\rm \dfrac{Yeast}{Flour} = \dfrac{1}{180}\)

Using the ratio for 720 oz of flour,

\(\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}\)

\(\rm {Yeast} = \dfrac{720\ oz}{180}\)

\(\rm {Flour} = 90\ oz\)

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

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Answer:

1. C

2. D

Step-by-step explanation:

Answer:

For the first question it is C(3rd one) and for the second question it is D(last one)

Step-by-step explanation:

So lets think about what we know here.

We know that Lena was walking at a normal speed.

Then she stopped.

Then she moved slowly.

Since x is time, and y is distance from school, we know that x is going to costantly change, while y will depend on what is happening.

First off, we know she is goiong to school. now away from it. This means that any graph with a increasse in the y value will be incorrect. This gets rid of a and b, whihc are the first two answers.

So y should go up nomrallu, since she was just walking at first.

Now, we know that the distance from school must stop, and then begin to decrease at a slower pace. When lookking at the graphs, only C continues to decrease, while D is constantly not moving.

So the answer is C.

Next.

we know that kala drives at a constant speed.

We  know she starts going faster.

Then she slows down.

So we can isntantly remove any graph that completly stops in speed, which means y would be 0, since she is always moving. This gets rid of A and B.

Then we have  C and D

Well, remember that after Kala is going at a normal speed, she sped up.

Only one graph has a large spike in speed after a constant speed. THis is D.

So the answer must be D

Hope this helps!

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

Answer:

its infinite solution

Step-by-step explanation:

Answer:

k = 6

Step-by-step explanation:

Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!

\(\displaystyle \large{\begin{cases} 2x+3y=5 \\ 4x+ky=10 \end{cases}}\)

We want to know the value of k that makes the simultaneous equation have infinitely many solutions.

To make simultaneous equation have infinitely many solutions, we can do by using graph visual method. The method says that if both graphs overlap one another then both equations have same slope and y-intercept. In other word, both equations must be the same to have infinitely many solutions.

From the simultaneous equation, if you notice we can simply multiply the first equation by 2 to make it look the same as the second equation.

\(\displaystyle \large{\begin{cases} 2x\cdot 2 + 3y\cdot 2=5\cdot 2 \\ 4x+ky=10 \end{cases}}\\\\\displaystyle \large{\begin{cases} 4x+6y=10 \\ 4x+ky=10 \end{cases}}\)

Compare the coefficient with both equations.

Therefore, the value of k has to be 6.

Instead of multiply by 2 to the first equation, you can also multiply the second equation by 1/2 to get the similar equation like the first equation.

\(\displaystyle \large{\begin{cases} 2x+3y=5 \\ 4x\cdot \frac{1}{2}+ky\cdot \frac{1}{2}=10 \cdot \frac{1}{2} \end{cases}}\\\\\displaystyle \large{\begin{cases} 2x+3y=5 \\ 2x+\frac{k}{2}y=5 \end{cases}}\)

Compare the variables & coefficients.

Therefore, the value of k is still 6.

First, arrange the simultaneous equation in slope-intercept form which is y = mx + b

\(\displaystyle \large{\begin{cases} y = -\frac{2}{3}x + \frac{5}{3} \\ y = -\frac{4}{k}x+\frac{10}k \end{cases}}\)

Since to make the simultaneous equation having infinitely many solutions, both equations must have same slope and y-intercept.

Hence, compare the coefficients:

\(\displaystyle \large{\begin{cases} -\frac{2}{3}=-\frac{4}{k} \\ \frac{5}{3} = \frac{10}{k} \end{cases}}\\\\\displaystyle \large{\begin{cases} -2k=-12 \\ 5k = 30 \end{cases}}\)

In the end, the value of k is still 6.

Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation:

Answer:

4r-4

Step-by-step explanation:

im pretty sure very sure

Answer:

See below

Step-by-step explanation:

This is a triangular prism:

h = Perpendicular height of prism

Base shape = Triangle

t = Perpendicular height of triangle

Volume of triangular prism = Base Area × h

                  = Area of triangle × h

                  = [\(\frac{1}{2}\) × Base of triangle × t] × h

                  = [\(\frac{1}{2}\) × 5 in × 1.7 in] × 10 in

                  = 42.5 cubic inches

Total Surface Area = [2 × Base Area] + Lateral Surface Area

             = [2 × Area of triangle] + [(Perimeter of triangle) × h]

             = {2× [\(\frac{1}{2}\) × 5 in × 1.7 in]} + [(5 in + 3 in + 3 in) × 10 in]
             = 8.5 \(in^{2}\)  + 110 \(in^{2}\)

              = 118.5 square inches

The second number in terms of n is x = n - 8.

Let the second number be x.

The fact that the first number is eight more than the second number is clear.

n = x + 8.    ...(1)

It is given that the third number is five more than the first number

n + 5 = y     ...(2)

We want to solve for x in terms of n, so we can use the first equation to get x in terms of n:

From equation 1 and 2

n + 5 = y = (x + 8) + 5

n + 5 = x + 13

x = (n + 5) - 13

x = n - 8

Therefore, the second number in terms of n is x = n - 8.

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The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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Answer:

72/24. Solution: Rewriting input as fractions if necessary: 3/2, 3/8, 5/6, 3/1. For the denominators (2, 8, 6, 1) the least common multiple ( LCM) is 24. LCM (2, 8, 6, 1) Therefore, the least common denominator ( LCD) is 24. Calculations to rewrite the original inputs as equivalent fractions with the LCD: 1 1/2.

Step-by-step explanation:

Answer:

20:10 10 hours

Step-by-step explanation:

10:5 * 2 = 20:10 or 10:5 / 5 : 2:1 * 20 = 20:10

The integral of 17/√x (5-2√x) dx is 17(5√x - x) + C.

To find the integral of the given function 17/√x (5-2√x) dx, we will use the substitution method for integration.

1. First, let u = √x. Then, x = u² and du = (1/2) * (1/√x) dx.

2. Next, substitute u into the function and the dx term:
  ∫17/u (5-2u) ((2du)).

3. Simplifying the expression:
  ∫17(5-2u) du.

4. Now, we integrate the simplified function with respect to u:
  ∫17(5-2u) du = 17∫(5-2u) du.

5. Performing the integration:
  17(5u - u²) + C, where C is the constant of integration.

6. Finally, substituting back the original variable x:
  17(5√x - (√x)²) + C.

The integral of the given function 17/√x (5-2√x) dx is equal to 17(5√x - x) + C.

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Answer: 135 degrees

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

sum of triangle angles = 180

then JLK =. 180 -(70+65) = 180 - 135 = 45

then JLK = 45

since JLM = 180

then KLM = 180 - 45 = 135

Answer:

3b - 2

Step-by-step explanation:

b = breadth

Length = 3b - 2

Answer:

Given that l=20cm, b=12cm, h=9cm

∴T.S.A=2(lb+bh+lh)

=2[(20×12)+(12×9)+(20×9)]

=2(240+108+180)

=2×528

∴T.S.A=1056cm

2

Answer:

simply divide the volume of both cuboids like lbh/lbh simply you will get your ans.

The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.  

The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.

Theoretical yield is given as mt = 9.23 g

The actual amount of product recovered is given as ma = 7.89 g

We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.

Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %

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In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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Answer:

A

Step-by-step explanation:

\(\frac{7}{8}.(- 16).(- 7).(- \frac{1}{14}) \\\\\\\ 7.(- 2).\frac{7}{14} \\\\\\\ 7.(- 2).\frac{1}{2} \\\\\\ 7.(- 1) \\\\ - 7\)

I hope I've helped you.

Two cars are traveling from a certain place in opposite directions, one going 55 km/h.the two cars will be 135 km apart after 1.227 hours of travel.

After how many hours will they be 135 km apart?To determine after how many hours the cars will be 135 km apart, we will have to employ the concept of relative speed. It is the rate at which the distance between two objects moving in opposite directions is changing.Let x be the speed of the second car. Therefore, the relative speed of the two cars can be calculated as:Relative speed = speed of first car + speed of second carRelative speed = 55 km/h + x km/hWe know that they were 0 km apart initially, and now they are 135 km apart.

Therefore, the distance covered by the two cars is 135 km.Time = Distance / SpeedTime = 135 km / Relative speedTime = 135 km / (55 km/h + x km/h)After t hours, the distance between them would be 135 km. Hence, this is our equation:135 = (55 + x)tNow, we need to solve for time t. Solving the equation for t yields:t = 135 / (55 + x)The two cars will be 135 km apart after t hours, where:t = 135 / (55 + x)The final answer should be in the form of an integer or decimal. Therefore, we need to determine the value of x and substitute it into the formula above. We can determine the value of x by dividing the distance covered by the time taken, i.e., x = distance / time taken.x = 135 km / tSince t = 135 / (55 + x), we can substitute the above equation for t in the previous expression:x = 135 km / (135 / (55 + x) )x = (55 + x) / 1x = 55 + xSolving for x yields:x - x = 55x - x = 55x = 55Therefore, the value of x is 55.

Hence, we can substitute this value into the equation:t = 135 / (55 + x)t = 135 / (55 + 55)t = 135 / 110t = 1.227 hoursTherefore, the two cars will be 135 km apart after 1.227 hours of travel. Answer: 1.227 hours (rounded off to three decimal places).

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Answer:

(B/h)(1/2) - k = s

Answer:

1131 students, is the best prediction.

Step-by-step explanation:

1450 divided by 50 = 29

50 - 14 = 36

36 x 29 = 1131

Answer:

If Megan is already feeding him 4 1/2 cups of food and she "needs to feed him only 2/3 as much" then you are looking for a smaller number. 6 3/8 cups would give the dog more food.

Step-by-step explanation: