x² + y²-15x+8y +50= 5x-6; area​

Answers

Answer 1

The area of the circle is approximately 188.5 square units

We are given that;

The equation x² + y²-15x+8y +50= 5x-6

Now,

To solve the equation X² + y²-15x+8y +50= 5x-6, we can use the following steps:

Rearrange the equation to get X² - 20x + y² + 8y + 56 = 0

Complete the squares for both x and y terms

X² - 20x + y² + 8y + 56 = (X - 10)² - 100 + (y + 4)² - 16 + 56

Simplify the equation

(X - 10)² + (y + 4)² = 60

Compare with the standard form of a circle equation

(X - h)² + (y - k)² = r²

Identify the center and radius of the circle

Center: (h, k) = (10, -4)

Radius: r = √60

The area of a circle is given by the formula A = πr²1, where r is the radius of the circle. Using this formula, we can find the area of the circle as follows:

A = πr²

A = π(√60)²

A = π(60)

A ≈ 188.5 square units

Therefore, by the equation the answer will be 188.5 square units.

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Related Questions

A)80
B)100
C)120
D)300

A)80B)100C)120 D)300

Answers

so like my brother did the math but we got something that wasn’t up there lol. but the closest one is 300

Here's an easy question for points: 5 x 2/6 =

Answers

5 times 2/6 is 10/6
You can simplify that to 5/3

Answer:

Step-by-step explanation:

15

I REALLY NEED THE ANSWER PLEASE THANK YOU​

I REALLY NEED THE ANSWER PLEASE THANK YOU

Answers

Note that in the arithmetic prompt above, the largest possible result Rachel can get is 4383.

What is the explanation for the above response?


We want to find the largest possible result for the expression BADF - KCCC + EGA, where each letter is replaced by a different number from 0 to 9. Since we want the largest result, we should try to make the leftmost digit of each number as large as possible. One way to do this is:

B = 9 (largest possible digit)

A = 8 (second largest digit)

D = 7 (third largest digit)

F = 6 (fourth largest digit)

K = 5 (largest possible digit different from B, A, D, F)

C = 4 (largest possible digit different from K, B, A, D, F)

E = 3 (largest possible digit different from K, B, A, D, F, C)

G = 2 (largest possible digit different from K, B, A, D, F, C, E)

Substituting these values, we get:

BADF - KCCC + EGA = 9876 - 5444 + 321

= 4383

Therefore, the largest possible result Rachel can get is 4383.

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Someone, please help me ill give brainiest

Someone, please help me ill give brainiest

Answers

The solutions of the given inequality from the options are x=2, x=-2 and x=0. Therefore, options B, C and D are correct answer.

The given inequality is (2x-3)/4 + 9 ≥ 3 + 4x/3.

What are solutions of inequality?

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.

Solve the given inequality as follows:

Multiply 4 on both the sides of inequality.

That is, 4 × (2x-3)/4 + 4 × 9 ≥ 4 × (3 + 4x/3)

⇒ (2x - 3) + 36 ≥ 12 + 16x / 3

Multiply 3 on both the sides of inequality.

That is, 3 × (2x - 3) + 3 × 36 ≥ 12 × 3 + (16x / 3) × 3

⇒ 6x - 9 +108 ≥ 36 + 16x

⇒ 6x + 99 ≥ 36 + 16x

Subtract 6x on both the sides of inequality.

That is, 6x + 99 -6x ≥ 36 + 16x -6x

⇒ 99 ≥ 36 + 10x

Subtract 36 on both the sides of inequality.

That is, 99-36 ≥ 10x

⇒ 10x ≤ 63

⇒ x ≤ 6.3

The solutions of the given inequality from the options are x=2, x=-2 and x=0. Therefore, options B, C and D are correct answer.

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You have 3 jars filled with marbles. Jar A has blue marbles and red marbles. Jar B has blue marbles and red marbles. Jar C has blue marbles and red marbles. You randomly take 1 marble from each jar, with each marble equally likely to be chosen. What is the probability that exactly 2 of the 3 marbles you select are red

Answers

The probability of selecting 2 red marbles and 1 blue marble is equal to the probability of selecting 1 red marble from Jar A and the other two blue marbles from Jar B and Jar C. Simplifying the expression gives the numerator and denominator of the probability, which is the quotient of the numerator and denominator of the simplified expression.

The probability of selecting 2 red marbles and 1 blue marble is equivalent to the probability of selecting 1 red marble from Jar A and the other two blue marbles from Jar B and Jar C. To simplify the expression, the numerator and denominator of the simplified expression are (r(a-r)st + abct - r(a-r)b(t+s) - a(t+s)st)/(a(b+c-t-s)). The probability for selecting exactly 2 red marbles is the quotient of the numerator and denominator of the simplified expression. The above solution explains how to determine the probability that exactly 2 of the 3 marbles you select are red.

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Matilda has 16 3/4 hours to finish 3 consulting projects. How much time may she spend on each project, if she plans to spend the same amount of time each?

A. 5 6/7

B. 5 3/7

C. 5 9/11

D. 5 7/12

Matilda has 16 3/4 hours to finish 3 consulting projects. How much time may she spend on each project,

Answers

Answer:  D

Step-by-step explanation:

To find how much time she need on each project divide the time by 3 because there are 3 projects and to get to 1 project you will need to divide by 3.

16 3/4 =  67/4

\(\frac{67}{4}\) ÷ \(\frac{3}{1}\)  = \(\frac{67}{12}\)   = 5 7/12

Answer:

Step-by-step explanation:

Question 10(Multiple Choice Worth 1 points)
(02.05 MC)
Write the equation of a function whose parent function, f(x) = x + 6, is shifted 4 units to the right.
O g(x) = x - 10
O g(x) = x - 4
O g(x) = x + 2
O g(x) = x + 10

Answers

The equation of a function whose parent function, f(x) = x + 6 is g(x) = x + 2.

What is function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.

Here, the given function;

  f(x) = x + 6

If parent function f(x) is shifted a units to the right to get the function g(x), then

   g(x) = f(x-a)

where, a = 4

  g(x) = f(x-4)

  g(x) = (x-4) + 6

  g(x) = x - 4 + 6

  g(x) = x + 2

Thus, the equation of a function whose parent function, f(x) = x + 6 is g(x) = x + 2.

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Someone please help me out

Someone please help me out

Answers

Answer:

A. y<-1/5x+1

Step-by-step explanation:

First, find the slope of the line

delta y / delta x = slope (delta means "change in", so delta y would the the change in y)

the change in y is 1, and the change in x is -5, so the slope is -1/5

we now know that the equation of the line is
y=-1/5x+1

The answer can't be c or d, because the line is dotted and not solid (solid lines signify ≥ or ≤, and dotted > and <)
To test if it is > or <, we can plug in some numbers to see if the equation is true

Right now, we have:


y[?]-1/5x+1, where "[?]" is either > or <


we see that the point 0,0 is a solution, since it is in the shaded region of the graph, because of this, we know that if we plug x=0 and y=0 into the equation, it must be true

plug in:

0[?]-(1/5)*0+1

0[?]1

clearly, [?] should be <, as 0<1
so, now that we know [?], we can replace it in our equation

y<-1/5x+1 , or "A"

Explain how you would us an rng to choose an srs of 141 plots. your description should be clear enough that a computer could carry out your plan.

Answers

To use an RNG (Random Number Generator) to choose an SRS (Simple Random Sample) of 141 plots, you can follow these steps:

1. First, determine the total number of plots in the population. Let's say there are 1000 plots in total.

2. Assign a unique number to each plot in the population. For example, you can label them as Plot 1, Plot 2, Plot 3, and so on up to Plot 1000.

3. Now, generate random numbers using the RNG. The range of random numbers should be between 1 and the total number of plots in the population (in this case, 1000). The RNG will ensure that the numbers are generated in a random and unbiased manner.

4. Repeat the random number generation process until you have 141 unique random numbers. This will ensure that you select a sample of 141 plots without any duplicates.

5. Once you have the 141 random numbers, identify the corresponding plots in the population using the assigned labels. These plots will constitute your simple random sample.

By following these steps, a computer can effectively carry out the plan of using an RNG to choose an SRS of 141 plots. Remember, using an RNG ensures that the selection process is random and unbiased, which is essential for obtaining a representative sample.

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Simplify fully: 4x^2+4x / 2x^2-2

Answers

Answer:

We can factor out a 4x from the numerator and a 2 from the denominator, which gives:

(4x(x+1)) / 2( x^2 - 1)

We can then factor the denominator further using the difference of squares formula, which gives:

(4x(x+1)) / 2(x+1)(x-1)

Simplifying this expression further, we can cancel out the (x+1) terms in the numerator and denominator, which gives:

2x / (x-1)

Therefore, 4x^2 + 4x / 2x^2 - 2 simplifies to 2x / (x-1).

PLS HELP THE PICTURE IS DOWN BELOW

PLS HELP THE PICTURE IS DOWN BELOW

Answers

Answer:

4

Step-by-step explanation:

Normally you would have to figure out the distance of the x- and y-components and use the Pythagorean Theorem; however, because the y-coordinates of both points are the same, you only need the x-coordinates.

You have the first point back 3, and the second point forward 1.

So starting at -3, you move 4 points to get to 1.

((-3 to -2 (1), -2 to -1 (2), -1 to 0 (3), 0 to 1 (4)))

2x + 7 =30, x = 3 true or false

Answers

Answer:

False

Step-by-step explanation:

2x+7=30

2x=23

X= 23/2 or 11.5

X does not equal 3, therefore the statement is false

False x= 11.5 (in decimal form)

for each of the following rejection​ regions, sketch the sampling distribution of t and indicate the location of the rejection region on your sketch. a. t>1.440 where df​

Answers

The rejection region is a critical region in hypothesis testing where we reject the null hypothesis. In this case, the rejection region is defined as t > 1.440 where df.



To sketch the sampling distribution of t and indicate the location of the rejection region, we need to consider the degrees of freedom (df) of the t-distribution.

1. Determine the degrees of freedom (df): The degrees of freedom depend on the specific hypothesis test or experiment being conducted. Without the given value of df, it is not possible to accurately sketch the sampling distribution of t or determine the location of the rejection region. Please provide the value of df in order to proceed.

2. Sketching the sampling distribution of t: Once the degrees of freedom (df) are known, we can use a graphing tool or software to plot the t-distribution. The shape of the t-distribution is similar to a bell-shaped curve, but with thicker tails compared to the normal distribution. The center of the t-distribution is at 0, and the spread depends on the degrees of freedom.

3. Indicating the location of the rejection region: After plotting the t-distribution, we can identify the location of the rejection region by marking the area corresponding to t > 1.440 (with the given degrees of freedom). This can be represented by shading the area to the right of the critical value on the t-distribution graph.

Note: The exact location of the rejection region will vary depending on the degrees of freedom. Therefore, it is important to provide the specific value of df to accurately determine the location of the rejection region.

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in tests about a population proportion, p0 represents the . a. observed p-value b. probability of c. hypothesized population proportion d. observed sample proportion

Answers

The correct answer is c. hypothesized population proportion. In tests about a population proportion, p0 (pronounced as "p-naught") represents the hypothesized population proportion.

Which is the proportion of individuals in the population who possess a particular characteristic or exhibit a particular behavior. The hypothesized population proportion is typically derived from prior knowledge or information about the population or based on theoretical considerations.

It is used as a reference value to compare against the sample proportion (phat) to determine whether there is evidence of a statistically significant difference between the sample and population proportions.

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A ray of light moving parallel to the x-axis gets reflected from a parabolic mirror whose equation is (y−2)2=4(x+1). After reflection, the ray must pass through the point
A. (0,2)
B. (2,0)
C. (0,−2)
D. (−1,2)

Answers

The ray of light will be reflected off the parabolic mirror, according to the equation (y−2)2=4(x+1).

The equation of a parabola in standard form is given by y = a(x-h)² + k, where (h, k) represents the vertex of the parabola, and "a" determines the orientation and size of the parabola.

In the given equation, (y-2)² = 4(x+1), we can see that the vertex of the parabola is at the point (-1, 2), which is obtained by shifting the standard parabolic equation horizontally by 1 unit to the left and vertically by 2 units upward.

The coefficient "4" in the given equation determines the orientation and size of the parabola. Since "4" is positive, the parabola opens to the right.

The value of "4" also determines the focal length of the parabola, which is the distance between the vertex and the focus of the parabola. In this case, the focal length is 1/4 of the coefficient, which is 1 unit.

Now, let's consider how this equation relates to the reflection of a ray of light. A parabolic mirror is designed to reflect light rays in a specific way, such that all incoming parallel rays are reflected and converge to a single point called the focus of the parabola.

This property of a parabola is used in various applications, such as telescopes, satellite dishes, and headlights of vehicles.

In the given equation, (y-2)² = 4(x+1), the equation represents the shape of the parabolic mirror. When a ray of light intersects with this parabolic mirror, it will be reflected off the mirror surface according to the law of reflection, which states that the angle of incidence is equal to the angle of reflection with respect to the normal at the point of incidence.

The parabolic shape of the mirror ensures that the reflected rays converge to the focus of the parabola, which is at the point (-1, 2) in this case.

In summary, the given equation represents a parabolic mirror with a specific shape and focal length, and it describes how a ray of light will be reflected off the mirror surface according to the law of reflection.

Understanding the properties of the parabola represented by the equation can help in analyzing the behavior of light rays and predicting the reflection pattern in practical applications involving parabolic mirrors.

Since the light is moving parallel to the x-axis, it will reflect at a right angle, meaning that the reflected ray must pass through the point (2,0).

This is the answer to the question, so the correct answer is B. (2,0).

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Question 2 20 pts A p-value for correlation which is statistically significant implies the correlation is due to random chance. True O False Question 5 20 pts For each one unit increase in X we expect Y to increase by b1 units, on average. Interpretation of the intercept Interpretation of a residual Interpretation of r-squared Interpretation of the slope

Answers

A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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Look at the equations below. Find a pair of equations whose lines are perpendicular.

Look at the equations below. Find a pair of equations whose lines are perpendicular.

Answers

The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

Find a pair of equations whose lines are perpendicular.

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

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle of depression from her eyes to the bottom of the post is 35o . How tall is the lamppost?

Answers

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Plz help I will mark as brainliest. Jason has $60 to spend. He wants to purchase a bag for $30, one calculator for $13,3
rulers for $3 each, and 5 pens. Each of the pen costs the same price. This will use up all
of Jason's money. Determine the price of a pen.

Answers

Answer:

$1.60 per pen

Step-by-step explanation:

60-30=30

30-13= 17

17-9=8

8/5= 1.6

Determine whether the given function is linear. f(x) = 3 + 1/3x

Answers

x = -1/9 is the answer i believe

you can either graph this or plug in values.

\(f(x)=3+\frac{1}{3}x\)

\(f(-1)=3+\frac{1}{3}(-1)\\\\f(-1)=3-\frac{1}{3}\\\\f(-1)=2\ \frac{2}{3}\\\\f(0)=3\\\\f(1)=3\ \frac{1}{3}\)

\(\therefore\) we can conclude that this function is linear.

Also here is a graph

Determine whether the given function is linear. f(x) = 3 + 1/3x

a cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height. using 3.14 or pi which of the following can be used to calculate the volume of the cylinder

Answers

The volume of the cylinder with height 6 meters and the radius 18 meters is \(6,104.16 m^{3}\).

What is a volume of a cylinder?

The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.

Given that, the height of a cylinder=6 meters and the diameter of a cylinder=6×6=36 meters (A diameter that is 6 times the measure of the height)

Now, radius \((r)=\frac{d}{2} =18 meters\)

\(\pi =3.14\)

We know that, the volume of the cylinder\(=\pi r^{2} h\)

\(=3.14\times 18^{2} \times 6 m^{3}\)

\(=6,104.16 m^{3}\)

Hence, the volume of the cylinder with height 6 meters and the radius 18 meters is \(6,104.16 m^{3}\).

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Find the critical values necessary to [perform a two tailed hypothesis test with a sample size of 18 and a-.10

Answers

To perform a two-tailed hypothesis test with a sample size of 18 and a significance level of α = 0.10, the critical t-values are approximately ±2.110.

To find the critical values for a two-tailed hypothesis test with a sample size of 18 and a significance level of α = 0.10, you need to follow these steps:

1. Determine the degrees of freedom (df) for the t-distribution. In this case, df = n - 1 = 18 - 1 = 17.

2. Divide the significance level by 2 to account for the two tails. α/2 = 0.10/2 = 0.05.

3. Look up the critical t-value in the t-distribution table for a two-tailed test with a significance level of 0.05 and 17 degrees of freedom. The critical t-value is approximately ±2.110.

Therefore, the critical t-values for the two-tailed hypothesis test with a sample size of 18 and α = 0.10 are approximately ±2.110.

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it is determined that the value of a piece of machinery declines exponentially. a machine that was purchased 9 years ago for $77000 is worth $35000 today. what will be the value of the machine 7 years from now? round your answer to the nearest cent.

Answers

The value of the machine 7 years from now.

To determine the value of the machine 7 years from now, we can use the formula for exponential decay:

V(t) = V(0) * e^(-kt)

Where:

V(t) is the value of the machine at time t

V(0) is the initial value of the machine

k is the decay constant

t is the time in years

We are given that the machine was purchased 9 years ago for $77,000, so V(0) = $77,000. We also know that the current value of the machine is $35,000, so V(t) = $35,000.

We can plug in these values to find the decay constant:

$35,000 = $77,000 * e^(-k * 9)

Dividing both sides by $77,000:

e^(-k * 9) = $35,000 / $77,000

Taking the natural logarithm of both sides:

-ln(e^(-k * 9)) = ln($35,000 / $77,000)

Simplifying:

9k = ln($35,000 / $77,000)

Now we can solve for k:

k = ln($35,000 / $77,000) / 9

Now we can use this value of k to find the value of the machine 7 years from now:

V(7) = $77,000 * e^(-k * 7)

Substituting the value of k we found:

V(7) = $77,000 * e^(-ln($35,000 / $77,000) / 9 * 7)

Calculating this expression will give us the value of the machine 7 years from now.

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Final answer:

The value of the machine 7 years from now, based on the exponential decay model, will be about $17960.33.

Explanation:

This question pertains to exponential decay. In mathematics, we often use the formula for exponential decay to analyze the decline of asset values over time. The formula is V(t) = V0 * e^(-kt), where V(t) is the value at time t, V0 is the initial value, k is the decay constant, and e is the base of natural logarithms (approximately equal to 2.71828).

Given that the initial value of the machine was $77000 and it is now worth $35000 after 9 years, we first solve for the decay constant k using the equation: 35000 = 77000 * e^(-9k). Solving for 'k', we find that k is approximated to 0.0613.

Now, to find the value of the machine 7 years from now (16 years total from the original purchase), we substitute these values into our formula, getting V(16) = 77000 * e^(-0.0613*16), which gives us a machine value of approx $17960.33, rounded to the nearest cent.

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Edward boxmakers produces carton boxes each has a length of 40 cm a width of 25 cm and the height of 19 cm find the minimum area of paper required to wrap each box

Answers

The minimum  Surfacearea of paper required to wrap each box is 4470 square cm.

The minimum area of paper required to wrap each box, we need to calculate the surface area of the box.

The surface area of a rectangular box can be calculated using the formula:

Surface Area = 2lw + 2lh + 2wh

where l is the length, w is the width, and h is the height of the box.

Substituting the given values, we get:

Surface Area = 2(40 x 25) + 2(40 x 19) + 2(25 x 19)

Surface Area = 2000 + 1520 + 950

Surface Area = 4470 square cm

Therefore, the minimum area of paper required to wrap each box is 4470 square cm.

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tabitha is packing for a trip. she has 16 pairs of jeans. if she has room to pack 8 pairs, how many ways can she choose which jeans to take? g

Answers

Tabitha is packing for a trip. She has 16 pairs of jeans. If she has room to pack 8 pairs, If Tabitha has 16 pairs of jeans and she has to pack only 8 of them, then the total number of ways she can choose which jeans to take is 12870 ways.

Tabitha has to pack 8 pairs of jeans from the 16 pairs of jeans she has.

Therefore, she can choose which jeans to take by using the combinations method.

The formula to find the total number of combinations is: C(n,r) = n!/(r!(n-r)!)

where n is the total number of pairs of jeans

Tabitha has and r is the number of pairs of jeans she has to pack.

Therefore, the total number of combinations

Tabitha can make when choosing which jeans to pack is:

C(16,8) = 16!/(8!(16-8)!)

C(16,8) = 12870

Therefore, Tabitha can choose her jeans in 12870 ways.

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what proportion of tickets sold are adult tickets? (image)

what proportion of tickets sold are adult tickets? (image)

Answers

25+15=40
100-40=60
60/100=0.6

please help will mark as Brainliest ​

please help will mark as Brainliest

Answers

Answer: Choice D

f(n) = 4*(3)^(n-1)

f(5) = 324

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

Explanation:

Look at the y coordinates: {4, 12, 36, 108}

This is a geometric sequence with starting term a = 4 and common ratio r = 3. You start with 4 and multiply by 3 to generate each term

4*3 = 12

12*3 = 36

36*3 = 108

The nth term of the geometric sequence is

f(n) = a*(r)^(n-1)

f(n) = 4*(3)^(n-1)

Now plug in n = 5

f(n) = 4*(3)^(n-1)

f(5) = 4*(3)^(5-1)

f(5) = 4*(3)^(4)

f(5) = 4*81

f(5) = 324

Or you could multiply the last term in {3,12,36,108} by the common ratio 3 to get 108*3 = 324 as the fifth term.

Which expression is equivalent to 32×3-5? 1 2) 1 3) 1 104) 에​

Answers

Answer:

32 x 3 - 5 = 91

Step-by-step explanation:

First multiply because of order of operations (PEMDAS,) to get 96. Then subtract 5 from 96, to get 91.  

What is the name of the polynomial 4x-16

Answers

Answer
Binomial
Explanation
Only has 2

Binomial Is the answer you are looking for

A cylinder has a cross-section circumference of 56cm. The height of the cylinder is 3. 2cm. Calculate the volume and surface area of the cylinder

Answers

The volume of the cylinder is about 800.69 cm³ and the surface area of the cylinder is about 679.16 cm².

We are given that;

Cross-section circumference = 56cm

Height of the cylinder =3.2cm

Now,

To find the volume and surface area of the cylinder, we need to use the following formulas:

Volume of cylinder = πr²h

Total surface area of cylinder = 2πr(r+h)

We can use this information to find the radius of the cylinder by dividing the circumference by 2π.

Radius of cylinder = 56 / (2π) ≈ 8.92 cm

We are also given the height of the cylinder, which is 3.2 cm. Now we can plug in these values into the formulas and simplify.

Volume of cylinder = π(8.92)²(3.2)

Volume of cylinder ≈ 800.69 cm³

Total surface area of cylinder = 2π(8.92)(8.92+3.2)

Total surface area of cylinder ≈ 679.16 cm²

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