find the function h(x)=f(x)+ g(x) if f(x) =2x^3+1 and g(x)=x^2- 4x+3

Answer:

56.52

Step-by-step explanation:

Since the formula for the volume of a cone is V = (1/3)*π*r^2*h, we need to multiply the fraction 1/3, the value of pi (assuming you meant 3.14), the radius squared, and the height together to get the volume. Diameter is radius times 2, so to find the radius, multiply the diameter by .5, ending up with 3. 3^2 is 9. 1/3*3.14*9*6 is equal to 56.52.

Answer:

I beleive its 12 but not a hundred percent sure on what the question is asking.

Step-by-step explanation:

The perimeter of the triangle JKL is 276 units

From the question, we have the following parameters that can be used in our computation:

The triangle

Given that the points on the line segemnts of JKL are the midpoints.

This means that

JK = 2 * 42 = 84

JL = 2 * 49 = 98

KL = 2 * (6x - 1) = 13x - 10

So, we have

12x - 2 = 13x - 10

Evaluate the like terms

x = 8

So, we have

JK = 2 * 42 = 84

JL = 2 * 49 = 98

KL = 2 * (6 * 8 - 1) = 94

Add the side lengths to determine the perimeter, P

P = 84 + 98 + 94

P = 276

Hence, the perimeter is 276 units

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Step-by-step explanation:

Log(x²+8)=log 10+ log x

Log(x²+8)=log(10×x)

x²+8=10x

x² - 10x + 8=0

x is approximately to - 1 and - 8✅

The solutions to the given equation are x = -1 and x = 8.

Option A is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

Using logarithmic properties, we can simplify the given equation:

logs(x² + 8) = 1 + log g(x)

logs(x² + 8) - log g(x) = 1

log[(x² + 8)/g(x)] = 1

(x² + 8)/g(x) = 10

x² + 8 = 10g(x)

Now we can solve for x by substituting the given answer options and solving for g(x):

For x = -2 and x = -4:

x = -2:

(-2)² + 8 = 12, which is not equal to 10 g(x) for any value of g(x).

So x = -2 is not a solution.

x = -4:

(-4)² + 8 = 24, which is also not equal to 10g(x) for any value of g(x).

So x = -4 is not a solution.

For x = -1 and x = 8:

x = -1:

(-1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.

So x = -1 is a solution.

x = 8:

(8)² + 8 = 72, which is equal to 10g(x) when g(x) = 7.2.

So x = 8 is a solution.

For x = 1 and x = -8:

x = 1:

(1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.

So x = 1 is a solution.

x = -8:

(-8)² + 8 = 56, which is not equal to 10g(x) for any value of g(x).

So x = -8 is not a solution.

Therefore,

The solutions to the given equation are x = -1 and x = 8.

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The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to

To simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.

Expanding the squared terms

(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)

Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:

(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)

Simplifying the expression, we have:

2 + 2sinxcosx + 2

Combining like terms, we get:

4 + 2sinxcosx

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The calculated solution to the inequality is a < 6

from the question, we have the following parameters that can be used in our computation:

2a - 10 < 2

Divide through the equation by 2

So, we have

a - 5 < 1

Add 5 to both sides

a < 6

Hence, the solution to the inequality is a < 6 and the graph is attached

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Answer:

volume = 33.5 in³

Step-by-step explanation:

Formula:

\(\sf volume \ of \ a \ cone=\dfrac13\pi r^2h\)

Given:

Substituting the given values into the formula:

\(\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8\)

                  \(=\dfrac13 \times 3.14 \times 4 \times 8\)

                  \(\sf =33.49333333...\)

                  \(\sf =33.5 \ in^3 \ (nearest \ tenth)\)

At this rate of decay, where bacteria population declined from 270,000 to 600 in 24 hours  27634 bacteria will there be in 18 hours.

The concept of rate of growth will be used to calculate this question.

The growth rate in continuous time can be described as the growth rate which is the length of the period that shrinks to zero.

The expression can be written as ;

600=270,000e^k24

Then  6/2700=e^k24

ln 6/2700= k24

-6.10925 = k *24

k= -6.10925/24

k=-0.25455

Then  this rate of growth can be used to predict the number of bacteria there will be in 18 hours which can be expressed as :

A=270,000e^k24

A=270,000e^ (-0.25455)*18

A= 2763.57

Therefore, At this rate of decay, researchers can expect 2763.57 bacteria.

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Answer:

30 m

Step-by-step explanation:

Answer:

it is exactly 80m it is not 30m

Answer:

4 Quarters and 11 Dimes

Step-by-step explanation:

In the first equation, we know that \(D=15-Q\) If we plug this into the second equation, we get 25q+10(15-Q)=210. If we simplify this equation, we get 25q+150-10q=210, which can be simplified to 15q+150=210. And since 15q=60, q=4. Then, you subtract 4 from 15, to get 11 dimes. So, there are 4 quarters and 11 dimes. Hopefully, this helps!

Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.

In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.

For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.

To find the image of point E under this translation, you can apply the same translation to point E:

Point E is located at (5, 5).

The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).

You can follow the same process to find the images of the other points under the translation.

Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.

In this case, the translation vector is given by the displacement from point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).

To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:

Point E is located at (5, 5).

The translation vector is (-8, -7).

The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).

You can follow the same process to find the images of the other points under the translation.

Step-by-step explanation:

I have answered this for 2 other people already, so I just copied my explanation here. I hope it's helpful.

Answer:

c = 21º

d = 100º

Step-by-step explanation:

In questions like this, always find the angles you can find and it will help you find more and more.

So let's start by finding angle e. We know that the sum of the angles in any triangle is equal to 180. So let's do 180 - (20 + 20) = 140

angle e = 140º

Now we don't know either C or D and are unable to find them with only e, so let's find other angles to help us. The 4 angles that aren't known at each corner of the square are easy to find, as we know for sure that they fully equal to 90º. So 90 - 20 = 70º. Both angles at the bottom corners = 70º. Now for the top corners: top left = 90 - 30 = 60º and top right = 90 - 40 = 50º.

As well as this, we can find a and b as well, but I think you already figured that out. angle a: 180 - (30 + 40) = 110º, angle b: 360 - (140 + 110) = 209º

Now we can figure out c and d, because we know that the sum of all angles in any quadrilateral is 360º. So the trapezium on the left, angle c: 360 - (70 + 60 + 209) = 21º. And finally right trapezium, angle d: 360 - (70 + 140 + 50) = 100º

Answer:

x ≥ 25

Step-by-step explanation:

x- 7 ≥ 18

Add 7 to each side

x- 7+7 ≥ 18+7

x ≥ 25

Answer:

265

Step-by-step explanation:

1590/6=265

265x1=265

Answer:

Answer: 7

Step-by-step explanation:

The answer is 7

I hope this helps

Answer:

2069 you have to do is Rush me know what

Step-by-step explanation:

This is a geometric series, where the first term is -5 and the common ratio is -⅔.

aₙ = -5 (-⅔)ⁿ⁻¹

The average number of students who are afraid of spiders and snakes is 15. (Option C).

To calculate the average number of students who are afraid of spiders and snakes, you need to add the number of students afraid of spiders and the number of students afraid of snakes, and then divide by 2 (since there are two categories being considered: spiders and snakes).

Average = (Number of students afraid of spiders + Number of students afraid of snakes) / 2

Given the information:

Number of students afraid of spiders = 18

Number of students afraid of snakes = a little more than 11 (let's consider 12 for calculation)

Average = (18 + 12) / 2 = 30 / 2 = 15

So, the average number of students who are afraid of spiders and snakes is 15.

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The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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The statistics that seem to be fair estimators of the population parameter are statistics A, according to the information provided.

The collection, description, analysis, and inference of conclusions from quantitative data are all part of the field of statistics, which is applied mathematics. Calculus of differential and integrals, linear algebra, and probability theory are key mathematical concepts in statistics.

Statistics is a technique used in mathematics for deciphering, analyzing, and summing up data. The following characteristics are used to categorize the different types of statistics: Inferential and descriptive statistics. We analyze and interpret the data based on the way it is presented, such as in tables, bar graphs, or pie charts.

The unbiased estimator of the population parameter is statistic A, it should be noted. This is due to the fact that it is centered around the population parameter of 75.

The population parameter would be more accurately estimated by statistic A. This is so because the population mean of 75 is the same as the sample mean of 75.

Given that statistic D is equal to the population means, it would serve as a more accurate estimator of the population parameter.

Last but not least, it is important to remember that statistic C has no distribution shape.

The complete question is:

Four different statistics have been proposed as estimators of a population parameter. To investigate The behavior of these estimators, 500 random samples are selected from a known population and it statistic is calculated for each sample. The true value of the population parameter is 75. the graphs below show the distribution of values for each statistic.

A. Which of the statistics appear to be unbiased estimators of the population parameter? How can you tell?

B. Which of the statistics a or B would be better estimate or of the population parameter? Explain your choice.

C. Which of the statistics of your day would be better estimator of the population parameter? Explain your choice.

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Answer:

I'm not sure buh it might be 36/3 square units

The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

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Answer:

360 cm cubed

Step-by-step explanation:

Use the volume formula.

V=whl

V=12 x 6 x 5

V=360

Answer:

Step-by-step explanation:

30+-60+-90=?

30+60=90

Answer:

In a 30°-60°-90° triangle, the side opposite the 30° angle is half the length of the hypotenuse, and the side opposite the 60° angle is √3 times smaller than the hypotenuse.

Let x be the length of the hypotenuse, then the side opposite the 60° angle is 6√3. Therefore, we have:

x/2 = 6√3/√3

Simplifying the right side, we get:

x/2 = 6

Multiplying both sides by 2, we get:

x = 12

So the length of the hypotenuse is 12.

To find the length of the side opposite the 30° angle, we use the fact that it is half the length of the hypotenuse:

x/2 = 12/2 = 6

So the length of the side opposite the 30° angle is 6.

The transformation from f(x) to g(x) is (b) a rotation and a translation

From the question, we have the following parameters that can be used in our computation:

f(x) = x

g(x) = 1/9x - 2

First f(x) = x is transformed to f'(x) = 1/9x

This transformation is a rotation

Next, f'(x) = 1/9x is transformed to g(x) = 1/9x - 2

This transformation is a translation

This means that the transformation from f(x) to g(x) is a rotation and a translation

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The value of x in parallelogram ABCD is equal to 7.

In Mathematics, a parallelogram simply refers to a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In this context, we can reasonably infer and logically deduce that this parallelogram has both pairs of opposite sides being parallel to each other and the opposite angles (vertical angles) are equal and congruent:

x + 3 = 2x - 4

2x - x = 3 + 4

x = 7.

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Answer:

55.25

Step-by-step explanation:

So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!

Hope this helps! <D