A spherical balloon is being inflated. Find the rate (in ft²/ft) of increase of the surface area (S = 4tr²) with respect to the radius r when r is each of the following. (a) 2 ft (b) 3 ft (c) 5 ft ft²/ft ft²/ft ft²/ft
Suppose that a population of bacteria triples every hour and starts with 400 bacteria. Find an expression for the number n of bacteria after time t hours. n(t) = Use it to estimate the rate of growth of the bacterial population at 3.5 hours. (Round your answer to the nearest whole number.) n'(3.5) = bacteria/hr

The answer of the given question based on the word problem is , the student can select three different specimens in 280 ways.

To determine the total number of ways a student can choose three different specimens, we have to multiply the number of choices for each of the specimens.

Let’s consider the number of ways to choose earthworms, frogs, and fetal pigs.

A student can select one of eight earthworms.

A student can select one of five frogs.

A student can select one of seven fetal pigs.

Therefore, the student can select three different specimens in:

8 × 5 × 7 = 280 ways.

The student can select three different specimens in 280 ways.

To know more about Multiplication visit:

https://brainly.in/question/864215

#SPJ11

The student can select the specimens in 280 different ways.

To calculate the number of ways the student can select the specimens, we need to multiply the number of choices for each category.

The student must dissect three different specimens. The student can select one of eight earthworms, one of five frogs, and one of seven fetal pigs.

In how many ways can the student select the specimens?

In how many ways can a student choose 3 different specimens?

The number of ways a student can choose 3 different specimens can be found by the formula for combinations which is given as;

The total number of ways a student can choose three specimens from the three groups is; $n(earthworms)*n(frogs)*n(pigs)\\

8*5*7 = 280$

Thus, there are 280 ways the student can select the specimens.

The student can select one of the eight earthworms, one of the five frogs, and one of the seven fetal pigs.

Therefore, the total number of ways to select the specimens is:

8 (earthworms) × 5 (frogs) × 7 (fetal pigs) = 280.

So, the student can select the specimens in 280 different ways.

To know more about specimens, visit:

https://brainly.com/question/5039851

#SPJ11

The solution of the given linear system of equations is x = 2, y = 1 and z = 2.

Given that the linear system of equations is

2x + 4y + 2z = 16-2x - 3y + z = -52x + 2y - 3z = -3

To solve the system of equations by Cramer's rule method, arrange them in the form of Ax = B as below:

A = [2, 4, 2; -2, -3, 1; 2, 2, -3], x = [x, y, z] and B = [16, -5, -3]

To find the inverse of the coefficient matrix A⁻¹, first, find the determinant of A as below:

|A| = 2[-3 - 2] - 4[-2 + 2] + 2[-8 + 1] = -12

The determinant is non-zero, hence A is invertible

A⁻¹ = 1/|A| [adj A]

where adj A is the transpose of the cofactor matrix [C] of A:

adj A = [C]T

So, we find [C] by replacing each element of A with its cofactor and taking its transpose matrix as below:

C = [5, 2, 6; 2, -2, 2; -4, -4, -4]

Then [C]T = [5, 2, -4; 2, -2, -4; 6, 2, -4]So, A⁻¹ = 1/|A| [adj A] = 1/(-12) [5, 2, -4; 2, -2, -4; 6, 2, -4] = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2]

To solve the system of equations, we have x = A⁻¹B as below:

x = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2][16; -5; -3] = [2; 1; 2]

To know more about linear system, visit:

https://brainly.com/question/26544018

#SPJ11

The larger the standard error, the less reliable the sample mean is as an estimate of the population mean. So, if a beta value has a large standard error, we can conclude that estimates of beta vary widely across different samples.

If a beta value has a large standard error, we can conclude that estimates of beta vary widely across different samples.What is a Beta Value?A beta value is a numerical value that represents the extent to which a variable affects another variable in a regression analysis. It's a measure of the sensitivity of a dependent variable to changes in an independent variable. A high beta value means that the variable has a significant impact on the dependent variable, whereas a low beta value indicates a lesser effect.What is Standard Error?The standard error of a statistic is an estimate of how much sampling variability it has. In other words, it is the standard deviation of its sampling distribution. It aids in determining the precision of the sample mean as an estimate of the population mean. The larger the standard error, the less reliable the sample mean is as an estimate of the population mean. So, if a beta value has a large standard error, we can conclude that estimates of beta vary widely across different samples.

To know more about standard visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

140 pounds.

Step-by-step explanation:

If he saves 1/5 of his wage every week, and at the end of the week he has 40 pounds, then his wage must be 200 pounds.

40x5=200

Then calculate how much he spends on his social life.

200x.70=140

Huw spends 140 pounds on his social life every week!

The amount spent on his social life is £ 48.

Let the wage be £ w

He saves 1/5 of his wage.

Then he saves £ w/5

So, the left amount

= £ (w - w/5)

= £ 4w/5 ..........(1)

He spends 70% of the money left on his living costs.

Then he spends £ 4w/5 × 70/100

= £ 14w/25

Therefore remaining amount

= £ (4w/5 - 14w/25)

= £ 6w/25 ..............(2)

He spends the remaining portion on his social life.

Then £ 6w/25 stands for the amount he spends on his social life.

He saves £ 40 in a week ............(3)

Then from (1), we can write

w/5 = 40 ( numerically)

⇒ w = 200

From (3), we can obtain the amount spent on his social life

= £ 6 × 200 / 25

= £ 48

Therefore, the amount spent on his social life is £ 48.

To learn more about weekly wages

https://brainly.com/question/9296810

#SPJ2

There are 10 ways for Maria to distribute the fruits among her four friends if she doesn't give Jacky any oranges.

If Maria doesn't give any oranges to Jacky, she must give him all three apples. Then she is left with three oranges to distribute among the remaining three friends.

We can think of this as placing the oranges into three boxes (one for each friend), with the restriction that each box must contain at least one orange (since we cannot leave any oranges for Jacky).

This problem can be solved using the stars and bars method. We can think of the oranges as "stars" and the boxes as "bars" separating them. We need to place two bars to create three boxes. The number of ways to do this is:

(3 + 2) choose 2 = 5 choose 2 = 10

Therefore, there are 10 ways for Maria to distribute the fruits among her four friends if she doesn't give Jacky any oranges.

Learn more about Maria  

https://brainly.com/question/30198438

#SPJ4

If Argyle says that she has collected data that only tell her whether the cases are the same or different, one can accurately say that she has collected data on the nominal level.

The nominal level of measurement is the least strict type of data measurement in which the measurements or observations are grouped into distinct categories without a specific order or value structure. At this stage of measurement, variables are defined as categorical because the groups and categories can only be counted, which is usually done using frequencies and proportions.

The nominal level of measurement can take the form of either binary or multichotomous. Binary variables have only two groups, while multichotomous variables have more than two groups. Variables that are frequently used in this level of measurement include gender, race, or political affiliations.

Learn more about nominal level of measurement here: https://brainly.com/question/28500245

#SPJ11

The production rate of the assembly line is 6000 parts per month.The assembly line produces 6000 parts per month, with a weekly production rate of 1500 parts.

To calculate the production rate of the assembly line, we need to consider the number of weeks in a month. Since the plant operates for 4 weeks per month, we can divide the total production by the number of weeks to find the weekly production rate.

Given that the assembly operations are sequential, we can calculate the weekly production rate as follows:

6000 parts/month ÷ 4 weeks/month = 1500 parts/week.

Therefore, the assembly line produces 1500 parts per week.

The assembly line produces 6000 parts per month, with a weekly production rate of 1500 parts. This information can be used for planning and managing production schedules efficiently.

To know more about production rate follow the link:

https://brainly.com/question/29252505

#SPJ11

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

To know more about smallest possible inside length, refer to the link :

https://brainly.com/question/17304098#

#SPJ11

Answer:

They are asking for the degree measure of the angle 12.  It is 90 degrees

Step-by-step explanation:

You can see that for the rhombus RHOM the lines HM and RO are perpendicular, so you know that all of the angles made by these two lines intersecting will be 90 degrees.

Equation for the total number of dessert packages needed for a math club meeting with cookies and brownie bites; 5 packages of brownie bites and 15 packages of cookies needed to serve one dessert per person for a total of 75 attendees.

We can use the following equation to calculate the total number of packages of each dessert that the club treasurer must purchase:

Total packages of brownie bites (b) + Total packages of cookies (c) = Total number of attendees (75)

We know that brownie bites come in packages of 15, so the total number of packages of brownie bites the treasurer needs to purchase would be:

b = ceil(75/15) = 5

where "ceil" refers to the ceiling function, which rounds to the nearest integer. In this case, we need at least 5 packages of brownie bites to have one dessert per person.

To find the number of packages of cookies needed, we can substitute the value of b into the equation:

c + 12b = 75

c + 12(5) = 75

c + 60 = 75

c = 15

However, this value is not reasonable since 15 packages of cookies would provide 180 cookies, which is more than 2 cookies per person. Therefore, the treasurer would need to adjust the number of packages of cookies based on the actual number of cookies in each package to ensure that they have exactly one dessert per person.

To learn more about Equation, visit:

brainly.com/question/29514785

#SPJ9

Answer:

-9 + 3f

Step-by-step explanation:

Solve -9 + f + 2f.

1. Combine the like terms

= -9 + 3f

Answer:

\(\displaystyle \frac{1}{5!} = \frac{1}{120} \approx 0.00833\).

Step-by-step explanation:

Note that all five letters here are distinct (i.e., none of them is repeated.) There are \(\displaystyle P(5,\, 5) = \frac{5!}{(5 - 5)!} = 5! = 120\) ways to arrange five distinct items (where the order of the arrangement matters.)

The reason is that there are five choices for the first item, four choices for the second item, three choices for the third item, etc. Hence, the numerator is \(5 \times 4\times 3 \times 2 \times 1\), which is the same as \(5!\). On the other hand, since there's only one way to choose five items out of five (i.e., to select them all,) the denominator would be \(1\).

Note that the \(\verb!ZAYED!\) is just one of that \(5!\) possible permutations. If the cards are arranged in random, all these permutations ought to have an equal probability. Therefore:

\(\begin{aligned}& P(\verb!ZAYED!) \\ &= \frac{\text{Number of permutations that gives $\texttt{ZAYED}$}}{\text{Number of all permutations involved}} \\ &= \frac{1}{5!} = \frac{1}{120} \approx 0.00833\end{aligned}\).

An equation that is true for all values of the variables in its domain is an identity

Hope that helps!

the high degree of separation and distinct behavior of ferrocene on the TLC plate make it unnecessary to collect several small fractions. This saves time and effort during the purification process.

Collecting several small fractions is unnecessary for the ferrocene reaction because ferrocene is a compound that has a high degree of purity and a distinct separation behavior on the TLC plate.

When performing thin layer chromatography (TLC), the compounds in the mixture will move at different rates on the plate due to their different polarities. This allows for the separation and identification of individual compounds.

In the case of ferrocene, it exhibits a high degree of separation on the TLC plate, resulting in only two large fractions. This means that the compound is distinct and easily identifiable, making it unnecessary to collect several small fractions.

The distinct separation behavior of ferrocene can be attributed to its unique structure and properties. Ferrocene is a sandwich complex consisting of two cyclopentadienyl rings bound to a central iron atom. This structure imparts specific characteristics to ferrocene, including its high stability and distinct separation behavior.

By analyzing the TLC plate, chemists can easily determine which fractions contain ferrocene and combine them into two large fractions. This simplifies the purification process and reduces the amount of work required.

In summary, the high degree of separation and distinct behavior of ferrocene on the TLC plate make it unnecessary to collect several small fractions. This saves time and effort during the purification process.

To learn more about thin layer chromatography (TLC):

https://brainly.com/question/32897594

#SPJ11

The Cartesian coordinates (3, -4, 1) can be converted to spherical coordinates as (ρ, θ, φ) = (√26, arctan(-4/3), arccos(1/√26)).

The Cartesian coordinates (-2, -1, -7) can be converted to spherical coordinates as (ρ, θ, φ) = (√54, arctan(-1/-2), arccos(-7/√54)).

The equation x² + y² = 4x + z - 2 in Cartesian coordinates can be transformed to ρ² sin² φ = 4ρ sin φ cos θ + ρ cos φ - 2 in spherical coordinates.

To convert the Cartesian point (3, -4, 1) to spherical coordinates, we use the formulas ρ = √(x² + y² + z²), θ = arctan(y/x), and φ = arccos(z/ρ). Substituting the given values, we find ρ = √26, θ = arctan(-4/3), and φ = arccos(1/√26).

For the Cartesian point (-2, -1, -7), we apply the same formulas to obtain ρ = √54, θ = arctan(-1/-2), and φ = arccos(-7/√54).

Converting the cylindrical coordinates (ρ, θ, z) = (2, 0.345, -3) to spherical coordinates, we use the relationships ρ = p sin φ and z = p cos φ. Substituting the given values, we find p = 2.042 and φ = arccos(-3/2.042).

To convert the Cartesian equation x² + y² = 4x + z - 2 to spherical coordinates, we substitute x = ρ sin φ cos θ, y = ρ sin φ sin θ, and z = ρ cos φ. After substitution and simplification, we obtain the equation ρ² sin² φ = 4ρ sin φ cos θ + ρ cos φ - 2.

Given the equation p² = 3 - cos φ in spherical coordinates, we use the relationships p = √(x² + y² + z²), cos φ = z/ρ, and ρ = √(x² + y²). Substituting these values, the equation transforms to x² + y² + z² = 3 - z/√(x² + y²)

Learn more about  spherical coordinates here :

https://brainly.com/question/31745830

#SPJ11

The correlation will not be −0.44 based solely on the slope of the regression line. (option c).

Let X and Y be the vectors of standardized values of X and Y, respectively, for all the subjects. Then, the least-squares regression line can be written as:

Y = βX

where β is the slope of the regression line. To find the intercept, we need to solve for the value of Y when X = 0:

Y = β(0) = 0

This means that the intercept of the regression line in the standardized coordinate system is 0. To find the intercept in the original coordinate system, we need to transform this point back using the formula for standardization:

Y = σY(Y) + μY

where σY is the standard deviation of Y and μY is the mean of Y. Since y = 0, we have:

Y = σY(0) + μY = μY

So, the intercept of the regression line in the original coordinate system is equal to the mean of Y. Therefore, we cannot conclude that the intercept will be −0.44 or 1.0.

Hence the correct option is (c).

To know more about slope here

https://brainly.com/question/3605446

#SPJ4

Complete Question

When we standardize the values of a variable, the distribution of standardized values has mean 0 and standard deviation 1. Suppose we measure two variables X and Y on each of several subjects. We standardize both variables and then compute the least-squares regression line. Suppose the slope of the least-squares regression line is 20.44. We may conclude that

a. The intercept will also be −0.44.

b. The intercept will be 1.0.

c. The correlation will not be 1/−0.44.

Answer:

Step-by-step explanation:

Answer:

y=5/2 .   *the question doesn't specify a y-intercept for the perpendicular line so just leave it as if it passes through 0.

Step-by-step explanation:

First, you isolate y to put the line in slope intercept form. Then, you take the slope and find the reciprocal(-5/2) then flip the sign giving you a slope of 5/2.

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

For such more questions on Power Sets Examples for Sets

https://brainly.com/question/33026825

#SPJ8

Answer: D, Alternate interior angles of parallel lines cut by a transversal are congruent

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

The expression in the form of (a sin()) is 12 sin 6 sin (42). This is the simplified form of the original expression.

To simplify the expression 6 sin 6 6 cos 6 into an expression of the form (a sin()), we need to use the identity sin^2(x) + cos^2(x) = 1. We can rewrite 6 cos 6 as 6 sin (90-6) using the identity sin(x+y) = sin(x)cos(y) + cos(x)sin(y). Therefore, our expression becomes 6 sin 6 6 sin (84).
Now, using the identity sin(x-y) = sin(x)cos(y) - cos(x)sin(y), we can simplify further to get:
6 sin 6 6 sin (90-6)
= 6 sin 6 6 sin 6cos(84)
= 6 sin 6 (2 sin 6 cos 84)
= 12 sin 6 sin (42).
Therefore, the expression in the form of (a sin()) is 12 sin 6 sin (42). This is the simplified form of the original expression.
In summary, to simplify an expression to the form (a sin()), we need to use trigonometric identities and manipulate the expression until it is in the desired form. In this case, we used the identities sin(x+y) and sin(x-y) to simplify the expression 6 sin 6 6 cos 6 into the expression 12 sin 6 sin (42).

To know more about sin(x) visit :

https://brainly.com/question/29923110

#SPJ11

The stationary distribution of the given Markov chain with a state space of {1, 2, 3} and transition probability matrix P = {{0.5, 0.4, 0.1}, {0.3, 0.4, 0.3}, {0.2, 0.3, 0.5}} can be calculated by finding the eigenvector corresponding to the eigenvalue 1.

To find the stationary distribution of a Markov chain, we need to solve the equation πP = π, where π is the stationary distribution and P is the transition probability matrix. Since the stationary distribution is a probability distribution, the sum of its elements should be equal to 1.

In this case, we have the transition probability matrix P as given. To find the stationary distribution, we need to find the eigenvector corresponding to the eigenvalue 1. This can be done by solving the equation (P - I)π = 0, where I is the identity matrix.

By subtracting the identity matrix from P and solving the system of linear equations, we can find the eigenvector. The resulting eigenvector will represent the stationary distribution.

Performing the calculations, we find that the stationary distribution π is approximately {0.2, 0.4, 0.4} or 20%, 40%, and 40% respectively for states 1, 2, and 3. This means that in the long run, the Markov chain is expected to spend approximately 20% of its time in state 1, 40% in state 2, and 40% in state 3.

Learn more about Markov chain here:

https://brainly.com/question/30465344

#SPJ11

The giant earthmover's rubber circular tires, with a diameter of 11.5 feet, make approximately 456.13 revolutions during a six-mile trip.

To calculate the number of revolutions, we need to determine the circumference of the tire and then divide the total distance traveled by the circumference. The formula for the circumference of a circle is given by C = πd, where C represents the circumference and d represents the diameter. Given that the diameter is 11.5 feet, we can calculate the circumference as follows:

C = π * 11.5 = 36.13 feet (approximately)

Now, we can divide the total distance traveled, which is six miles, by the circumference of the tire to find the number of revolutions:

Number of revolutions = Total distance traveled / Circumference of the tire

                    = 6 miles / 36.13 feet

                    ≈ 0.166 miles / foot (since 1 mile = 5,280 feet)

                    ≈ 6,096 feet / 36.13 feet

                    ≈ 168.86 revolutions (approximately)

Therefore, each tire makes approximately 168.86 revolutions during a six-mile trip.

To know more about revolutions, refer here:

https://brainly.com/question/29158976#

#SPJ11

Answer:

Step-by-step explanation:

we can two co-ordinates

(6,10)  and (0,2)

when we take gradient as m

m = 10-2/6-0

   = 8/6

   = 4/3

The intercept is +2

Therefore the the equation of the graph is y=4/3x+2

Answer:

when y =14 and x= 25 and v=? when added Calculate v

Answer:

C) Shifted 6 units up

Graphed:

We cannot definitively conclude if the lines are parallel without further information about the specific lines and angles involved. We would need additional context or equations to make a conclusive determination.

To determine which lines, if any, are parallel, we need to analyze the given information: m∠7 + m∠8 = 180.

This equation suggests that angles 7 and 8 are supplementary, meaning they add up to 180 degrees.

When two lines are intersected by a transversal, and a pair of alternate interior angles or corresponding angles are supplementary, then the lines are parallel.

In this case, if the angles formed by lines 7 and 8 are alternate interior angles or corresponding angles, and they are supplementary, then the lines are parallel.

However, we cannot definitively conclude if the lines are parallel without further information about the specific lines and angles involved. We would need additional context or equations to make a conclusive determination.

Learn more about supplementary parallel :

https://brainly.com/question/12919120

#SPJ11

Answer:

Step-by-step explanation:

To have anything to a power is just multiplying the number as many times as it says to.  ex. 2^3 is two times itself 3 times. 2 x 2 x 2= 8

In your case, you need to multiply -4 x -4 because the exponents tell you how many of the number you multiply.

-4 x -4 = 16

Hope this helps :)

Answer:

2x + 3y - 9 = 0

Step-by-step explanation: