Algebra problems, can you please help me, and show work?

When a right rectangular prism is sliced by a plane passing through five of the six faces of the prism, the resulting cross section is a pentagon.

A right rectangular prism has six rectangular faces, and when a plane passes through five of these faces, it cuts across them in a way that forms a pentagon. The shape of the resulting cross section will depend on the angle and orientation of the plane in relation to the prism, but it will always be a five-sided polygon.

It is important to note that the cross section resulting from the slicing of a right rectangular prism will have the same dimensions as the prism itself, with the exception of the depth, which will depend on the angle and orientation of the plane. This means that if the prism has dimensions of length, width, and height, the resulting cross section will have length and width equal to those of the prism, but a different depth.

Overall, the resulting cross section of a right rectangular prism that is sliced by a plane passing through five of its six faces will be a pentagon, with dimensions that are proportional to those of the original prism.

Learn more about rectangular prism here: https://brainly.com/question/28008161

#SPJ11

The average weight of the colony over the interval [1,4] is 47.83 newtons

The average value of a function is found by taking the integral of the function over the interval and dividing by the length of the interval.

Given,

\(w(t)=12.5e^{0.5t}\)

The average value of the given function

\(w_{avg} =\frac{1}{b-a}\int\limits^a_b {w(t)} \, dt\)

Here the interval is [1,4]

Therefore, a=1 and b= 4.

Substitute the values of w(t),a and b in the equation

\(w_{avg}= \frac{1}{4-1}\int\limits^4_1 {12.5e^{0.5t} } \, dx \\w_{avg}= \frac{1}{3}\int\limits^4_1 {\frac{25e^{0.5t} }{2} } \, dx\)

Consider,

\(u=\frac{t}{2}\\ \frac{du}{dt}=\frac{1}{2}\\dt=2du\)

Then,

\(w_{avg}= \frac{25}{3}\int\limits^4_1 {e^{u} } \, du\\ w_{avg}= \frac{25}{3}[e^{4/2}-e^{1/2}]\\ w_{avg}= \frac{25}{3}[e^{2}-\sqrt{e}]\\ w_{avg}= \frac{25}{3}[5.74]\\ w_{avg}=47.83\)

Hence, the average weight of the colony over the interval [1,4] is 47.83 newtons

Learn more about average value here

brainly.com/question/14402983

#SPJ4

Any system of equations where the coefficients of one of the variables are equal or where one of the equations is a multiple of the other equation.

We have,

A system of equations cannot be directly solved by applying the elimination method if the coefficients of one of the variables are equal or if one of the equations is a multiple of the other equation.

In this case,

We would not be able to eliminate one of the variables using addition or subtraction, which is the basis of the elimination method.

For example, consider the system of equations:

2x + 3y = 7

4x + 6y = 14

Both of these equations have coefficients that are multiples of 2 and 3, so we cannot eliminate one of the variables using addition or subtraction.

To solve this system, we would need to use another method such as substitution.

Therefore,

Any system of equations where the coefficients of one of the variables are equal or where one of the equations is a multiple of the other equation.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

a. |BA|: The determinant of the matrix product BA is -10  .
b. |B¹|: The determinant of the inverse of matrix B is 1/5 .
c. |24|: The determinant of the scalar matrix 24 is 13824 .
d. |(AB)¹|: The determinant of the inverse of the matrix product AB is 1/|AB|.
e. |B⁻¹|: The determinant of the inverse of matrix B is 1/|B|.

In the second paragraph, we'll provide an explanation for calculating each determinant:

a. To find |BA|, we can use the property |BA| = |B| * |A|. Substituting the given determinants, we have |BA| = 5 * (-2) = -10.

b. The determinant |B¹| is equal to the reciprocal of the determinant of B, so |B¹| = 1/|B| = 1/5.

c. The determinant of a scalar matrix, such as 24, is simply the scalar raised to the power of the matrix's order. In this case, |24| = 24³ = 13824.

d. |(AB)¹| is equal to the reciprocal of the determinant of AB. Therefore, |(AB)¹| = 1/|AB|.

e. Similarly, |B⁻¹| is equal to the reciprocal of the determinant of B⁻¹. Hence, |B⁻¹| = 1/|B|.

Learn more about matrices here : brainly.com/question/30646566

#SPJ11

Answer: (2,4)

Step-by-step explanation: The coordinates are 2,4

The term that is not affected the standard error of an estimator is population size, from the provide data in options. So, option (c) is right one.

The standard error is a statistical term that used to measured the accuracy that a sample distribution represents a population by using standard deviation. The standard error(SE) is very similar to standard deviation of a distribution. Both are used to measure the spread of distribution. Higher the value SE, the more spread out your data is. In statistical way, standard error is also called standard error of mean, SEM, it represents the deviation of sample mean deviates from the actual mean of a population.

It is calculated simply by dividing the standard deviation by the square root of the sample size. That is \(SE = \frac{σ }{\sqrt{n}}\)

where , n --> sample size

σ --> population standard deviations

Now, from the above formula it is clearly seen that standard error term or an estimator affected by sample size (n) and population standard deviations ( σ). So, right choice for answer is population size.

For more information about standard error, visit :

https://brainly.com/question/14467769

#SPJ4

Complete question:

standard error of an estimator is not affected by the multiple choice question.

a) population standard deviation

b) sample size

c) population size

Hi there,

Recall how each bracelet sells for 6 dollars.

Hence, the expression for selling b bracelets is 6b, where b is the number of bracelets sold for the price of 6 dollars.

Profit is the actual amount of money that is earned after you subtract expenses from the total sales.

For instance, if you make $100 from selling items, and you spent $25 on your supplies, then your profit is \(100-25=75\).

In this case, you need to subtract the $28 spent on supplies from the amount of money that you have made, which is the expression 6b.

Hence, the expression for the profit is: \(6b-28\)

Hope that helps.

The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

For more question on quadratic visit:

https://brainly.com/question/1214333

#SPJ8

The best answer is Brandy chooses Credit Card B because she will not have to pay an annual membership fee.

Payment is the transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. It is also known as remittance or consideration. Payments can be made in a variety of ways, including cash, debit/credit cards, checks, money orders, and digital payment systems. Payment can also take place in kind, such as through bartering or trade. The payment process is an important part of the financial system, as it facilitates transactions between buyers and sellers.

This is an important factor to consider because it can help Brandy save money in the long run. By choosing Credit Card B, she is able to avoid the additional expense of paying an annual membership fee which can add up over time. In addition, she does not have to worry about paying a late fee if she is late with a payment, making this the most financially beneficial option for her.

To know more about payment click-
https://brainly.com/question/25793394
#SPJ1

We will have the following:

So, the expression in its simplest form is 4/9.

***Explanation***

First we are given the expression:

From the properties of roots, we will have that if a root contains a fraction, then we can rewrite the expression applying the root to the numerator and denominator [Separately], this is:

Since, these expressions are equivalent, then we solve for each one, that is:

Then, we simply replace in the fraction form:

The exact location of the first hole is given by "related dimensions."

Let C = circumference of the circle,

R = radius of the circle, and

O = center point of the circle.

The exact location of the first hole can be calculated using the following equation:

Angle of First Hole = (2π/N)*1 + O

where N = number of holes.

The circumference, radius, and centre point of the circle, as well as any other relevant dimensions, can be used to determine the precise placement of the first hole. By calculating the angle of each hole from the circle's centre, these measurements can then be utilised to pinpoint the exact location of the initial hole.

For more question on related dimensions click on

https://brainly.com/question/7582047

#SPJ4

The equation that expresses the direct variation between m and z is m = 8z.

When two variables vary directly, it means that they have a constant ratio between them. In this case, if m varies directly as z, we can write the following equation:

m = kz

Where k represents the constant of variation.

To determine the specific equation that expresses this variation, we need to use the given information that m is 120 when z is 15. We can substitute these values into the equation:

120 = k * 15

Now we can solve for k by dividing both sides of the equation by 15:

k = 120 / 15

k = 8

Therefore, the equation that expresses the direct variation between m and z is:

m = 8z

This equation states that m is equal to 8 times z, indicating that m is directly proportional to z. If z increases or decreases, m will increase or decrease proportionally by a factor of 8.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ11

Answer:

$26.40

Step-by-step explanation:

22% = 0.22

120(0.22) = 26.4

The probability they will select and purchase your widget out of the 6 companies is 1/6 i.e 0.1667.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

The success rate for choosing your company out of 6 is 1/6

Therefore probability is 1/6 = 0.1667.

Learn more about Probability:

https://brainly.com/question/8449398

#SPJ4

Answer:

35 and 37

Step-by-step explanation:

Answer:

35 and 37

Step-by-step explanation:

Answer:

\(\frac{100}{w}\)

Step-by-step explanation:

When it asks for the quotient you are dividing/ putting it in a fraction.

To construct a 98% confidence interval for the mean of repeated measurements of the weight, we can use the formula:

Confidence interval = mean ± (t-value) x (standard error)

where the standard error is the standard deviation of the sample divided by the square root of the sample size, and the t-value is based on the degrees of freedom (n-1) and the desired level of confidence. Since we are given the sample mean, standard deviation, and sample size, we can plug in the values and solve for the confidence interval and margin of error.

First, we need to calculate the standard error:

Standard error = standard deviation / √n

Standard error = 0.020 gram / √40

Standard error = 0.00316 gram

Next, we need to find the t-value for a 98% confidence interval with 39 degrees of freedom. We can use a t-distribution table or calculator to find the t-value, which is approximately 2.423.

Substituting the values into the formula, we get:

Confidence interval = 10.230 ± (2.423)(0.00316)

Confidence interval = 10.230 ± 0.00766

Rounding to three decimal places, the 98% confidence interval for the mean weight is (10.222, 10.238) grams. The margin of error is half the width of the confidence interval, which is 0.00766/2 = 0.00383 grams

Answer:

12 or 14...

Step-by-step explanation:

I wouldn't really trust me but...

ALWAYS follow PEMDAS

3x2=6

1/4=1

New equation= -2(6+1^2)

6+1=7^2=14

now this part confused me -2(14)

Anybody else wanna solve that? lol

Answer:

0?

Step-by-step explanation:

The fourth and fifth intermediate quotients when converting 219 to binary are 13 and 6, respectively.

To convert a decimal number to binary, we divide the decimal number successively by 2, and note the remainder at each step. The binary number is obtained by writing these remainders in reverse order.

219 / 2 = 109 remainder 1 --> 1st remainder

109 / 2 = 54 remainder 1 --> 2nd remainder

54 / 2 = 27 remainder 0 --> 3rd remainder

27 / 2 = 13 remainder 1 --> 4th remainder

13 / 2 = 6 remainder 1  --> 5th remainder

6 / 2 = 3 remainder 0 --> 6th remainder

3 / 2 = 1 remainder 1 --> 7th remainder

1 / 2 = 0 remainder 1 --> 8th remainder

The binary number is obtained by writing these remainders in reverse order: 11011011.

219 / 2 = 109 remainder 1

109 / 2 = 54 remainder 1

54 / 2 = 27 remainder 0

27 / 2 = 13 remainder 1--> fourth intermediate quotient

The fifth intermediate quotient is obtained when we divide 219 by 2 five times:

To know more about Binary Number:

https://brainly.com/question/8649831

#SPJ4

We are given the following function

We are asked to find the value of f(2)

f(2) means to substitute x = 2 into the function

Recall the order of operations, first solve the exponent, then multiplication, and finally addition

Therefore, the value of f(2) is 19

the only option correct is the option D

Answer:

3y - x = 3

Step-by-step explanation:

The slope intercept form of the equation is expression is y = mx+c

m is the slope

c is the y inercept

From the graph

c = 1

Using the coordinates (-3, 0) and (0, 1)

m = 1-0/0-(-3)

m = 1/3

Get the required equation

y = 1/3x + 1

Multiply through by 3

3y = x + 3

3y - x = 3

Hence the required equation is 3y - x = 3

The three computations covered by the reliability factor table are sample size, index of reliability, and index of precision. Sample size deals with the size of the sample being used in order to achieve a desirable level of reliability.

Index of reliability is used to measure the consistency of results achieved over multiple trials. It does this by calculating the total number of items that contribute significantly to the final result. Finally, the index of precision measures the effect size of the sample, which is determined by comparing the results from the sample with the expected results.

The sample size computation gives the researcher an idea of the number of items that should be included in a sample in order to get the most reliable results. This is done by taking into account a number of factors including the variability of the population, the type of measurements used, and the desired level of accuracy.

The index of reliability is commonly calculated by finding the ratio of the number of items contributing significantly to the total result to the total number of items in the sample. This ratio is then multiplied by 100 in order to get a final score.

know more about reliability here

https://brainly.com/question/32178729#

#SPJ11

Answer:

2h +14

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Unfortunately, we don't have enough information to determine the area of the garden. We would need to know the dimensions of the backyard and/or the garden to calculate their areas.

To know more about calculating areas refer here:

https://brainly.com/question/30656333

#SPJ11

The rationale underlying the use of projective personality tests, such as the Rorschach test and the thematic apperception test, is that they reveal the subjects' personalities by eliciting responses to vague, ambiguous stimuli.

The rationale underlying the use of projective personality tests, such as the Rorschach test and the Thematic Apperception Test, is that they can reveal a person's unconscious thoughts, feelings, and motivations. These tests use vague and ambiguous stimuli, such as inkblots or pictures, and ask the person to describe what they see or make up a story about the stimuli. The person's responses are believed to reflect their underlying personality traits and psychological conflicts.

The theory is that when faced with ambiguous stimuli, people project their own thoughts, feelings, and motivations onto the stimuli, revealing their unconscious processes.

Learn More about the Rorschach test here:

https://brainly.com/question/10379868

#SPJ4

To find the Depth you need to substitute the values of x and y into the equation: depth = y - x.

To determine the depth of the satellite dish, we need to calculate the distance from the receiver to the vertex of the dish. Given that the receiver is located inches above the vertex, we can subtract this distance from the dish's width to find the depth.

Let's assume the distance from the receiver to the vertex is x inches. We know that the width of the dish is y inches. It may be a parabola. Therefore, the depth of the dish can be calculated as y - x inches.

However, since you haven't provided specific values for the receiver's distance or the dish's width, it is not possible to give an exact answer. To find the depth, you need to substitute the values of x and y into the equation: depth = y - x.

Know more about parabola here:

https://brainly.com/question/11911877

#SPJ11

Answer:

Step-by-step explanation:

This a right triangle so we will use the Pythagorian theorem. x is the hypotenus.

■■■■■ Pythagorian theorem ■■■■■

● x^2 = √10^2 + √10^2

● x^2 = 10 + 10

● x^2 = 20

● x = √20 yd