f(x)=x^3+8g(x)=4x^3−5x−8
find (f+g)(x)

A.
5x³-5x

B.
5x³-5x+16

C.
5x³-5x-16

Answer:

Distance = Rate x Time

Is that what you are trying to figure out?

Answer:

R=D/T

Step-by-step explanation:

since D equals R times T, R would equal D divided by T

a. The number in the bottom box is 15 yd. The number in the top box is 9 yd.

b. The area of the table is 90 yd².

In Mathematics and Geometry, the area of a trapezoid can be calculated by using this mathematical equation (formula):

Area of trapezoid, A = ½ × (a + b) × h

Where:

Part a.

Since Chloe is making the longest side of the table to be twice as long as the​ table's width, the number in the bottom box can be calculated as follows;

Bottom box = 2 × 7.5

Bottom box = 15 yd.

For the number in top box, we have:

Top box = 15 - (3 + 3)

Top box = 9 yd.

Part b.

Now, we can determine the area of the table as follows;

Area of table = ½ × (a + b) × h

Area of table = ½ × (15 + 9) × 7.5

Area of table = 90 yd².

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Sin(A) = 42/47

Cos(A)=21/47

Tan(A)=42/21=2

Answer:

hi

Step-by-step explanation:

c?

Answer:

5.5 years

Step-by-step explanation:

24900 times 6.75% = 1,680.75

so this is how much it goes down per year, but we have to find it were the price reaches 15900. so 9000-1680.75=

7,319.25( one year)

7,319.25-1680.75 = 5,638.5 (second year)

5,638.5-1680.75= 3,957.75 (third year)

3,957.75-1680.75 = 2,277 (fourth year)

2,277-1680.75= 596.25 (fifth year)

Answer:

the correct answer would be 5.5

Step-by-step explanation:

I solved it and got it correct on the test

Answer:

x = 9

27, 45, 54

Step-by-step explanation:

The mean of 6x, 3x and 5x = 6x + 3x + 5x / 3 = 14x / 3 = 4 2/3x

The mean of 40, 50 and 36 = 40 + 50 + 36 = 126/3 = 42

4 2/3x = 42

x = 42÷14/3 = 42 * 3/14 = 9

6x = 54

3x = 27

5x = 45

Least to greatest order: 27, 45, 54

Hope this helps :)

Answer:

30, 40, 50, 60, 70

Step-by-step explanation:

The mass of the pencil is approximately 5.49 ounces.

To find the mass of the pencil, we can integrate the density function over the length of the pencil.

The density function is given by rho(x) = 5/x oz/in.

We want to find the mass of the pencil, so we integrate the density function from x = 2 (the starting point of the pencil) to x = 6 (the endpoint of the pencil).

The integral is ∫[2, 6] (5/x) dx.

Evaluating the integral, we have:

∫[2, 6] (5/x) dx = 5 ln(x) ∣[2, 6] = 5 ln(6) - 5 ln(2) = 5 (ln(6) - ln(2)).

Using the property of logarithms, we can simplify this to:

5 ln(6/2) = 5 ln(3) ≈ 5 (1.098) ≈ 5.49 oz.

The mass of the pencil is approximately 5.49 ounces.

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To create a single CircuitSim file with separate circuits for different hardware components using logic gates (AND, OR, NOT, XOR, NOR, NAND), follow these steps:

1. Open CircuitSim: Launch the CircuitSim application on your computer.
2. Create a new file: Click on 'File' in the menu bar, then select 'New' to create a new CircuitSim file.
3. Create separate circuits: To create separate circuits for each hardware component, click on 'Edit' in the menu bar, then select 'Add Circuit.' Give each circuit a unique name to represent the specific hardware component.
4. Design the circuits: For each circuit, use the provided logic gates (AND, OR, NOT, XOR, NOR, NAND) to design the hardware components. To add a logic gate, click on the corresponding gate icon in the toolbar, then click on the circuit to place it. Connect the input and output pins of the gates using wires.
5. Save the file: Once you've completed designing all the circuits, click on 'File' in the menu bar, then select 'Save' to save the single CircuitSim file with all the separate circuits.
Remember to maintain accuracy, professionalism, and friendliness when answering questions. Provide concise explanations, and ensure that your answer is factually correct.

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By using a maclaurin series to obtain the maclaurin series for the given function is  F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)

\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)

\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)

\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)

This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.

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Answer:

0.00128 m = ;

15 m;

950000 m (950 km)

Step-by-step explanation:

The scale to be used is 1 to 10​ billion (1 : 10,000,000,000)

The earth is about​ 12,760 km (12760000 m) in diameter and about 150 million km (150000000000 m) away from the sun.

Therefore, using this scale, we just have to divide the diameter and distance of the earth from the sun by 10,000,000,000:

Diameter = 12760000 / 10000000000 = 0.00128 m

Distance = 150000000000 / 10000000000 = 15 m

The nearest stars besides the Sun are about 4.3​ light-years away​ (1 ​light-year equals = \(9.5 * 10^{12} km\) = 9500000000000000 m​). Therefore, using the scale:

Distance = 9500000000000000 / 10000000000 = 950000 m = 950 km

The value of m for the expression will be m = -2.

In mathematics, an expression is a combination of one or more numbers, variables, constants, and operators, which when evaluated, produce a value.

Expressions can include mathematical symbols such as addition, subtraction, multiplication, division, exponents, roots, logarithms, and trigonometric functions.

To isolate the term with the variable. Subtract 16 from both sides.

36 - 16 = -10m

20 = -10m

To isolate the variable.

Divide both sides by -10.

20 / (-10) = m

0-2 = m

Solve for m.

The solution is m = -2.

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The charges of the polyatomic ions listed:

- Hydroxide: OH⁻ (charge of -1)

- Carbonate: CO₃²⁻ (charge of -2)

- Sulfate: SO₄²⁻ (charge of -2)

- Ammonium: NH₄⁺ (charge of +1)

- Nitrate: NO₃⁻ (charge of -1)

Polyatomic ions are charged groups of atoms that behave as a single unit and carry a net electrical charge. These ions are made up of two or more atoms covalently bonded together, but they have an overall charge due to the loss or gain of one or more electrons.

Polyatomic ions are often formed from non-metal elements that share electrons in covalent bonds, and they can have either a positive or negative charge depending on the number of electrons they gain or lose. Some examples of polyatomic ions include hydroxide (OH⁻), ammonium (NH₄⁺), carbonate (CO₃²⁻), and sulfate (SO₄²⁻).

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Answer:

Reflect the intermediate image.

Multiply the vertices of polygon ABCD by One-half.

Answer:

Step-by-step explanation:

A) These are the squares of another number or we can say the prime numbers

B) THE NEXT NUMBER IN THE SEQUENCE IS 9 BECAUSE ALL THESE ARE SQUARES OF 8 7 6 5 4 AND THE LAST ONE WILL BE 9

The two way table given by option z is a possible representation of the data collected.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the first table, we have that:

Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.

Option z shows these same ratios between the amounts, hence it is the correct option.

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Answer:

hey

Step-by-step explanation:

hey

Answer:

We can rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. To do this, we can rearrange the terms as follows:y = 9 - xy = -1x + 9

This gives us a slope of -1 and a y-intercept of 9. We can plot the y-intercept at (0, 9) and use the slope to find another point on the line. The slope tells us that for every increase of 1 in x, the value of y decreases by 1. So, starting from (0, 9), we can move one unit to the right and one unit down to get another point (1, 8). We can continue this process to find more points or connect the two points we already have to draw a line.

Let me know if this helped by hitting brainliest! If you have any questions, please comment below!

The resulting graph should be a straight line that starts at the point (0, 9) on the y-axis and intersects the x-axis at the point (9, 0). The line slants downward from left to right.

Here, we have,

We can rewrite the equation in slope-intercept form,

y = mx + b,

where m is the slope and b is the y-intercept.

To do this, we can rearrange the terms as follows:

y = 9 - x

y = -1x + 9

This gives us a slope of -1 and a y-intercept of 9.

We can plot the y-intercept at (0, 9) and use the slope to find another point on the line.

The slope tells us that for every increase of 1 in x, the value of y decreases by 1.

So, starting from (0, 9), we can move one unit to the right and one unit down to get another point (1, 8).

We can continue this process to find more points or connect the two points we already have to draw a line.

To graph the equation y = 9 - x, you can follow these steps:

Step 1: Create a table of values. Choose some x-values and substitute them into the equation to find the corresponding y-values. For simplicity, let's choose three values for x:

x | y = 9 - x

0 | 9 - 0 = 9

3 | 9 - 3 = 6

6 | 9 - 6 = 3

Step 2: Plot the points. Use the x-values from the table and their corresponding y-values to plot the points on the graph. The points are (0, 9), (3, 6), and (6, 3).

Step 3: Draw the line. Connect the plotted points with a straight line. The line should pass through all the plotted points.

The resulting graph should be a straight line that starts at the point (0, 9) on the y-axis and intersects the x-axis at the point (9, 0). The line slants downward from left to right.

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Answer:

169 of the 200 free throws

Step-by-step explanation:

You would expect her to make at least 169 of the 200 free throws

The correct option is B that is The ratio of a task's due date to its completion time is known as the crucial ratio is false.

Given that,

The ratio of a task's due date to its completion time is known as the crucial ratio.

We have to prove is the statement is true or false.

We know that,

CR stands for Critical Ratio refers to the rule of dispatching which determine the priority index number through dividing the time to due date which remained through expected elapsed time in order to complete the job.

This ratio is used in work priority sequencing waiting for processing at work center. It is established by formals due date divided by the aggregate shop remaining time. The ratio less than 1 are behind, greater than 1 are ahead as well as ratio of 1 is on schedule.

The formula is as:

CR stands for "Time Left Until Due Date / Remaining Processing Time."

Therefore, the correct option is B that is The ratio of a task's due date to its completion time is known as the crucial ratio is false.

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Answer:

81

Step-by-step explanation:

you evaluate by mutiplying the number with the exponent, which is -9 multiplied by -9, which is 81 because 2 negatives multipled or divided is a positive. hope this helped a bit

Answer:

81

Step-by-step explanation:

Here, some steps to evaluate (-9)².

Step 1 :- A negative base raised to an even powers equal positive.

Step 2 :- Write exponentiation as multiplicaton.

Step 3 :- Multiply it .

Another way to evaluate ( -9 ) ².

Evaluate by multiply with it's exponent.

When two negative sign combine they formed positive

So, after multiplying we get 81.

Answer:

42 Pots

Step-by-step explanation:

Because 256 divided by 6 is 42

Hope this helped

:)

The size of each section of the circle graph are 40%, 20%, 10%, 15%, and 15%.

A circle graph representing the data in this survey is shown below.

In Mathematics, a circle graph is sometimes referred to as a pie chart and it can be defined as a type of graph that is used for the graphical representation of the proportional relationship between each part to a whole, especially by dividing a circle into various sectors or sections.

Since there were 180 students surveyed, their preference can be calculated as follows:

Strawberries = 72/180 × 100 = 40%

Grapes = 36/180 × 100 = 20%

Bananas = 18/180 × 100 = 10%.

Oranges = 27/180 × 100 = 15%.

Apples = 27/180 × 100 = 15%.

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The number of weeks when the tanks have same water is 64 weeks.

The equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The equation for the first tank will be 256 - 3g.

The equation for the second tank will be 385 - 5g.

The equation will be:

256 - 3g = 385 - 5g

Collect like terms

5g - 3g = 384 - 256

2g = 128

g = 128/2

g = 64

It'll take 64 weeks.

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Answer:

k=0.12d

Step-by-step explanation:

The value of f(0.025) is approximately ±2.086 for an f-curve with df = (20, 5).

The t-distribution is a way of describing a set of observations where most observations fall close to the mean, and the rest of the observations make up the tails on either side. It is a type of normal distribution used for smaller sample sizes, where the variance in the data is unknown.

To find f(0.025) for an f-curve with df = (20, 5), we need to use a t-distribution table.

First, we need to determine the critical value for a two-tailed test with a significance level of 0.05 and 20 degrees of freedom (df).

Looking at the t-distribution table, we find that the critical value is approximately ±2.086.

Next, we can use the formula for the t-distribution to calculate f(0.025):
f(0.025) = t(0.025, 20) = ±2.086

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