A right rectangular prism is sliced in a way such that the plane passes through five of the six faces of the prism,what is the resulting cross section?

Answer:

3 1/4

Step-by-step explanation:

It is 3 whole key chains

Answer:

-2.23007452E187.

Step-by-step explanation:

Podemos empezar con (2x^ 3y^ 2z) / 3.

x = -2; y = 3; z = 4

2x^3y^2z = (2 * (-2))^ (3 * 3)^ (2 * 4) = (-4)^ 9^ 8 = (-262,144)^ 8 = 22,300,745,200,000,000,000,000,000,000,000,000,000,000,000, que es 2.23007452E43.

2.23007452E43 / 3 = 7.433581733E42.

Segundo, podemos hacer 10x^ 2y^ 3z^ 2.

10x^ 2y^ 3z^ 2 = (10 * (-2))^ (2 * 3)^ (3 * 4)^ 2 = (-20)^ (6)^ (12)^ 2 = 64,000,000^ 12 ^ 2 = 4.722366483E93^ 2 = 2.23007452E187.

Para terminar el problema, lo pondremos todo junto.

7.433581733E42 - 2.23007452E187 + 12 = -2.23007452E187.

Espero que esto ayude!

The formula to calculate the future value of an investment with compound interest is:

A = P(1 + r/n)^(n*t)

where:

A = future value

P = principal (initial investment)

r = annual interest rate (as a decimal)

n = number of times interest is compounded per year

t = time (in years)

In this case, we have:

P = $200 (initial investment)

r = 20% = 0.20

n = 1 (compounded annually)

t = 6 (6 years)

So, we can plug these values into the formula:

A = 200(1 + 0.20/1)^(1*6)

A = 200(1.20)^6

A = $766.97 (rounded to the nearest cent)

Therefore, Robert will have approximately $766.97 in his retirement account after 6 years.

Answer:

14.52% are unicyclists

Step-by-step explanation:

First, we can use proportions to find the number of unicyclists at the convention. Since we know that the ratio of unicyclists to aerial artists is 9:11, and there are 88 aerial artists, we can set up the following equation:

\(\frac{9}{11}=\frac{x}{88}\)

If we cross multiply, we get that 11x = (88)(9). After we divide through by 11 to isolate x, we get that x = (8)(9) = 72

Second, we have to figure out the number of mimes at the convention to figure out the total number of people there. We know that the ratio of unicyclists to mimes is 3:14, and the number of unicyclists is 72. So, we can set up the following proportion:

\(\frac{3}{14}=\frac{72}{y}\)

If we cross multiply, we get that 3y = 1008, or y = 336 mimes

The total number of people at the convention is 336 mimes + 72 unicyclists + 88 unicyclists = 496. Now we have to figure out what percent of 496 is 72 (the number of unicyclists). If we let z = the percentage, we can simply set up an equation that says that 72 is z% of 496:

\(72=0.01z*496\\0.01z=0.14516\\z=14.52\)

This means that approximately 14.52% of the performers are unicyclists.

Answer:

14.52%

Step-by-step explanation:

U/A = 9/11       and   A = 88      multiply by  8/8   ( to get A=88 as given)

9/11 * 8/8 = 72/88  = U / A       so U = 72

Then U/M = 3/14    multiply by  24/24   ( to get U = 72 as found above)

  then  U/M=    72 / 336     M = 336

U / ( A + U + M )  x  100% = 14.52 %

Answer:

A

Step-by-step explanation:

The measures of the angle are 50° and 40°.

In Mathematics and Geometry, a complementary angle refers to two (2) angles or arc whose sum is equal to 90 degrees (90°).

Let the variable x represent the first angle.

Let the expression (90 - x) represent its complement.

By substituting the given parameters into the complementary angle formula, the sum of the angles is given by;

x - (90 - x) = 10

x - 90 + x = 10

2x = 10 + 90

2x = 100

x = 100/2

x = 50°

(90 - x) = 90 - 50

(90 - x) = 40°

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Answer:

50 + 12w = 110

Step-by-step explanation:

I need no explanation, but if you really need it:

He gets fifty dollars, which goes to his savings.

He gets an allowance of 12 dollars each week, and since there is no specific number amount of weeks, you keep it as the given variable, x.

that 110 dollars is the total

50 + 12w = 110

Example of perfect square trinomial is: x² + 6x + 9 it is expressed as

(x + 3)²

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Example:

  x² + 6x + 9

= x² + 3x + 3x + 9

= (x +3) (x + 3)

= (x + 3)²

so, this is a perfect square trinomial.

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Answer:

Step-by-step explanation:10.8

Answer:

A 6

Step-by-step explanation

Divide 15 by 5/2 because MN is smaller than JK

6

Answer:

the equation would be 2(3.14)diameter

Step-by-step explanation:

the perimeter is the circumference the equation IS ABOVE

The formula for the number of cells after t days, given that 200 cells are present at t = 0 is \(N(t) = 40(3^t - 1) + 200\;ln(3)\), whereas the number of cells present after 11 days is approximately 7,085,864.

The given differential equation \(N'(t) = Ae^{kt}\) describes the rate of increase in the number of diseased cells N(t) at time t, where A is the rate of increase at time 0 and k is a constant. The solution to this differential equation is  \(N(t) = (A/k) \times e^{kt} + C,\) where C is an arbitrary constant that can be determined from an initial condition.

a. Using the given information, A = 40 and N'(5) = 120. Substituting these values into the equation \(N'(t) = Ae^{kt}\), we get:

\(120 = 40e^{(5k)}\)

Solving for k, we have:

k = ln(3)

Substituting A = 40 and k = ln(3) into the equation for N(t), and using the initial condition N(0) = 200, we get:

\(N(t) = (40/ln(3)) \times e^{(ln(3)t)} + 200\)

Simplifying this expression, we obtain:

\(N(t) = 40(3^t - 1) + 200ln(3)\)

b. To find the number of cells present after 11 days, we substitute t = 11 into the expression for N(t) that we obtained in part a:

\(N(11) = 40(3^{11} - 1) + 200ln(3)\)

Simplifying this expression, we get:

\(N(11) = 40(177146) + 200ln(3) \approx 7,085,864\)

Therefore, the number of cells present after 11 days is approximately 7,085,864.

In summary, the given differential equation \(N'(t) = Ae^{kt}\) describes the rate of increase in the number of diseased cells N(t) at time t, and the solution to this equation is \(N(t) = (A/k) \times e^{kt} + C,\)  where C is an arbitrary constant that can be determined from an initial condition.

We used this equation to find a formula for the number of cells after t days, given A, k, and an initial condition, and used it to find the number of cells present after 11 days.

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The expression  3x²+x+5 is the sum of 3 terms and coefficients are 3 and 1 therefore, Neither Joanna nor Linne is correct.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

3x²+x+5.

According to Joanna, the entire expression is the sum of 4 terms.

and according to Linne the coefficients are 3 and 0.

Since, The expression is the sum of 3 terms:

Square power of x, x and a constant 5.

Also, the coefficient of x² is 3 and coefficient of x is 1.

Therefore, the Joanna and Lienna both are wrong.

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Answer:

Volume of the cylinder is 1521π in³

Step-by-step explanation:

Hello,

To find the volume of a cylinder, we need the know the formula used for calculating it.

Volume of cylinder = πr²h

r = radius

h = height

Data,

Radius = 13in

Height = 9in

Volume of a cylinder = πr²h

Now we need to substitute the values into the formula

Volume of a cylinder = π × 13² × 9

Volume of a cylinder = 169 × 9π

Volume of a cylinder = 1521π in³

Therefore the volume of the cylinder is 1521π in³

Answer:

1521

Step-by-step explanation:

Answer:

-5, -7, and -12

Step-by-step explanation:

A function is defined as a relation between a set of inputs having one output each.

The values of the function r(x) at x = -2, 0 and 5 are -5, -7, and -12.

A function is defined as a relation between a set of inputs having one output each.

The inputs are called the domain of the function.

The outputs are called the range of the function.

We have,

A function r(x)

r(x) = x - 7

The value of r(x) at x = -2:

r(-2) = - ( -2) - 7

r(-2) = 2 - 7 = -5

The value of r(x) at x = 0:

r(0) = -0 - 7 = -7

The value of r(x) at x = -2:

r(5) = -5 - 7 = -12

We see that,

Domain = -2, 0, and 5.

Range = -5, -7, and -12.

Thus,

The values of the function r(x) at x = -2, 0 and 5 are -5, -7, and -12.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

Step-by-step explanation:

ounces of bite size cookies=1368

size of bags=36 ounce

so no. of bags =ounces of bite size cookies/size of bags

=1368/36

=38

hope this helps u

pls mark it as brainliest

The percentage of illicit drug users in the US are African American is a. 14%

According to data from the National Survey on Drug Use and Health, in 2019, 14.5% of African Americans reported using illicit drugs in the past month, compared to 12.4% of the overall population. While African Americans are overrepresented in state prisons for drug offenses, they do not use drugs at a significantly higher rate than other racial and ethnic groups.

It's important to note that drug use is a complex issue with many social and economic factors at play. It's crucial to approach drug use and addiction with a public health perspective that prioritizes prevention, treatment, and harm reduction over punitive criminal justice approaches.

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Your question is incomplete, but probably the complete question is :

57% of people in state prisons for drug offenses in the US are African American. What percentage of illicit drug users in the US are African American?

a. 14%

b. 28%

c. 42%

d. 56%

Answer: 15/16

Step-by-step explanation:

5/4 * (3 * 1/4) =

Mutiply 3 * 1/4

5/4 * 3/4 =

Mutiply 5/4 * 3/4

5/4 * 3/4 = 15/16

Answer:

\(\frac{15}{16}\)

Step-by-step explanation:

\(\frac{5}{4}\cdot \:3\cdot \frac{1}{4}\)

\(\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}\)

\(=\frac{5}{4}\cdot \frac{3}{1}\cdot \frac{1}{4}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\)

\(=\frac{5\cdot \:3\cdot \:1}{4\cdot \:1\cdot \:4}\)

\(\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3\cdot \:1=15\)

\(=\frac{15}{4\cdot \:1\cdot \:4}\)

\(\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1\cdot \:4=16\)

\(\frac{15}{16}\)

Hence, 15/16 is the correct Answer.

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The required two-way frequency chart is given (refer to the graph attached below).

So, the chart will be:

12. P(Coca-cola or found a table)

13. P(Sprite| found in the garbage)

Therefore, the required two-way frequency chart is given (refer to the graph attached below).

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i) The dispersion relation for the given equation is ± (v / 6) * k.

ii) The group velocity for the given equation is ± v / 6.

iii) The phase velocity is ± v / 6.

To find the dispersion relation, as well as the group and phase velocities for the given equation, let's start by rewriting the equation in a standard form:

82y(x, t) - 8\(t^2\) + 84y(x,t) = -2 * 8\(x^4\)

Simplifying the equation further:

8(2y(x, t) - \(t^2\) + 4y(x,t)) = -16\(x^4\)

Dividing both sides by 8:

2y(x, t) - \(t^2\) + 4y(x,t) = -2\(x^4\)

Rearranging the terms:

6y(x, t) = \(t^2\) - 2\(x^4\)

Now, we can identify the coefficients of the equation:

Coefficient of y(x, t): 6

Coefficient of \(t^2\): 1

Coefficient of \(x^4\): -2

(i) Dispersion Relation:

The dispersion relation relates the angular frequency (ω) to the wave number (k). To determine the dispersion relation, we need to find ω as a function of k.

The equation given is in the form:

6y(x, t) = \(t^2\) - 2\(x^4\)

Comparing this with the general wave equation:

A * y(x, t) = B * \(t^2\) - C * \(x^4\)

We can see that A = 6, B = 1, and C = 2.

Using the relation between angular frequency and wave number for a linear wave equation:

\(w^2\) = \(v^2\) * \(k^2\)

where ω is the angular frequency, v is the phase velocity, and k is the wave number.

In our case, since there is no coefficient multiplying the y(x, t) term, we can set A = 1.

\(w^2\) = (\(v^2\) / \(A^2\)) * \(k^2\)

Substituting the values, we get:

\(w^2\) = (\(v^2\) / 36) * \(k^2\)

Therefore, the dispersion relation for the given equation is:

ω = ± (v / 6) * k

(ii) Group Velocity:

The group velocity (\(v_g\)) represents the velocity at which the overall shape or envelope of the wave propagates. It can be determined by differentiating the dispersion relation with respect to k:

\(v_g\) = dω / dk

Differentiating ω = ± (v / 6) * k with respect to k, we get:

\(v_g\) = ± v / 6

So, the group velocity for the given equation is:

\(v_g\) = ± v / 6

(iii) Phase Velocity:

The phase velocity (\(v_p\)) represents the velocity at which the individual wave crests or troughs propagate. It can be calculated by dividing the angular frequency by the wave number:

\(v_p\) = ω / k

For our equation, substituting the dispersion relation ω = ± (v / 6) * k, we have:

\(v_p\) = (± (v / 6) * k) / k

\(v_p\) = ± v / 6

Therefore, the phase velocity for the given equation is:

\(v_p\) = ± v / 6

To summarize:

(i) The dispersion relation is ω = ± (v / 6) * k.

(ii) The group velocity is \(v_g\) = ± v / 6.

(iii) The phase velocity is \(v_p\) = ± v / 6.

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The equivalent expression is 2(y-4).

A statement with more than two variables or integers can be written as an expression using addition, subtraction, multiplication, and division operations.

Even though they have different looks, expressions that are equivalent do the same action. Two algebraic expressions that are equivalent have the same value when the variable is entered with the same value.

We have,

-2y - 8 + 4y

-2y and 4y are like terms.

So,

Add the like terms.

2y - 8

Taking out 2 commons.

2(y - 4)

Now,

We can not further simplify the expression.

Thus,

The equivalent expression is 2(y - 4).

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Answer:

the answer is -5

Step-by-step explanation:

1. identify the ordered pairs

2. write down the slope formula

3. replace the letters with their values

4. subtract

5. divide

Answer:

Step-by-step explanation:

A landscaping company placed two orders with a nursery. Sam tried to use system of equation to solve the problem.

Let us represent

Cost of bushes = x

Cost of trees = y

The first order was for 13 bushes and 4 trees, and totaled $327.50.

Hence

13x + 4y = 327.5......Equation 1

The second order was for 6 bushes and 2 trees, and totaled $142.96.

Combined both Equations

13x + 4y = 327.5......Equation 1

6x + 2y = 142.96 ........ Equation 2

We solve using Elimination method

We Multiply Equation 1 by 2 and Equation 2 by 4 to Eliminate y

26x + 8y = 655 ..... Equation 3

24x + 8y = 571.84 ..... Equation 4

We substract Equation 4 from Equation 3

2x = 83.16

x = 83.16/2

x = $41.58

Answer:

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.

Step-by-step explanation:

If the homeowner helps the professional roofer they will do the job in  2.53 days

Let the number of days to complete the job be x

The rate at which the homeowner will roof is x / 16

The rate at which the professional roofer will roof is x / 3

Adding the rates together gives

x / 16 + x / 3

19x / 48

The rate it will take them both to finish the job is

= 48 / 19

= 2.53 days

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The solution for the system of equations is (-19,55).

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Putting the value of x in the equation y + 3x = -2.

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for a system of equations is (-19,55).

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Answer:

19

Step-by-step explanation:

12 2/3 divided by 2/3 =

38/3 divided by 2/3 =

38/3 times 3/2 =

114/6 = 19