Now find an augmented matrix in reduced echelon form that represents a linear system of four equations in for variables for which the corresponding coefficient matrix has a pivot in each column. Choose the correct answer below. A. OB. 1 00 a 01 0 b 0 01 c 00 0 d 1 000 01 0 0 0 01 0 0 001 a 00 01 0 b 0 0 1 0 0 c0 000 d 1 1000 a 01 00 b 0 010 c 0 0 01d Use the augmented matrix to determine if the linear system is consistent. Is the linear system represented by the augmented matrix consistent? y A. Yes, because the rightmost column of the augmented matrix is not a pivot column. B. No, because the rightmost column of the augmented matrix is a pivot column. ° C. Yes, because the rightmost column of the augmented matrix is a pivot column. O D. Write the system of equations corresponding to the augmented matrix found above to determine the number of free variables. No, because the rightmost column of the augmented matrix is not a pivot columm.

Answer: a section holds 11,750 seats

$1,483,500 from one sold out event

47,000 seats in total, 3 sections (A = B + C)

A = B*2, C*2

47,000 / 4 = 11,750

Answer:

The company filled 454570 bags.

Step-by-step explanation:

This expression will give you the probability of drawing exactly two blue marbles.

To find the probability that she draws exactly two blue marbles, we need to consider the probability of drawing two blue marbles and one red marble in any order.

Let's assume the probability of drawing a blue marble is denoted by "P(B)" and the probability of drawing a red marble is denoted by "P(R)". Since she replaces only the blue marbles, the probability of drawing a blue marble remains the same for each draw.

To calculate the probability of drawing exactly two blue marbles, we can use the binomial probability formula:

P(2 blue marbles) = C(3, 2) * (P(B))^2 * (P(R))^1

Where C(3, 2) is the number of ways to choose 2 items out of 3, given by the combination formula:

C(3, 2) = 3! / (2! * (3 - 2)!) = 3

Since the probability of drawing a blue marble remains the same for each draw, we can simplify the formula:

P(2 blue marbles) = 3 * (P(B))^2 * (P(R))^1

Now, substitute the actual values of P(B) and P(R) into the formula. For example, if the probability of drawing a blue marble is 0.4 and the probability of drawing a red marble is 0.6, the calculation would be:

P(2 blue marbles) = 3 * (0.4)^2 * (0.6)^1

Simplifying this expression will give you the probability of drawing exactly two blue marbles.

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The measurement that could be a surface area measure is D. 27.9 mm². The unit "mm²" represents square millimeters, which is a measurement of surface area.

A surface area is the measurement of the outside area of an object or shape.

A surface area usually measures the surfaces of an object like the sides, top, and bottom.  

It is measured in square units like square inches or square meters.

It is an important concept that is used in different areas like geometry (like a cone, cylinder, rectangular prism, etc.), physics, and engineering.

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The acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

To find the acceleration of the particle at \(t = 2\) seconds, we need to differentiate the position function twice with respect to time. First, let's differentiate the position function \(s(t)\) once to find the velocity function \(v(t)\). Using the chain rule, we have:

\(\(v(t) = \frac{d}{dt}[(4t+1)^{3/2}]\)\)

To simplify the differentiation, we can rewrite the function as\(\(v(t) = (4t+1)^{3/2}\)\) . Applying the power rule, the derivative becomes:

\(\(v(t) = \frac{3}{2}(4t+1)^{1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(v(t) = 6(4t+1)^{1/2}\)\)

Next, we differentiate the velocity function \(v(t)\) to find the acceleration function \(a(t)\):

\(\(a(t) = \frac{d}{dt}[6(4t+1)^{1/2}]\)\)

Using the power rule again, we get:

\(\(a(t) = 6 \cdot \frac{1}{2}(4t+1)^{-1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(a(t) = 12(4t+1)^{-1/2}\)\)

Now we can find the acceleration at \(t = 2\) seconds by substituting \(t = 2\) into the acceleration function:

\(\(a(2) = 12(4 \cdot 2 + 1)^{-1/2}\)\)

\(\(a(2) = 12(9)^{-1/2}\)\)

Simplifying the expression, we have:

\(\(a(2) = \frac{12}{3} = 4\) cm/s²\)

Therefore, the acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

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Answer:

I believe the correct answer is A, but don't take my word until you know for sure <3

Step-by-step explanation:

Answer:

B) c < -a

Step-by-step explanation:

I hope this helps!

The equation of the line through the point (5,8) and perpendicular to the line 6x+y=5 is x-y=13.

To find the equation of a line perpendicular to another line, we need to determine the negative reciprocal of the slope of the given line. The given line can be rearranged to the slope-intercept form, y = -6x + 5, where the coefficient of x (-6) represents the slope. The negative reciprocal of -6 is 1/6, which is the slope of the line perpendicular to the given line.

Since the new line passes through the point (5,8), we can use the point-slope form of a line, which is (y - y1) = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the values, we have (y - 8) = (1/6)(x - 5). Simplifying this equation gives us 6y - 48 = x - 5. Rearranging the equation to the standard form, we get x - 6y = 43. Finally, we can multiply the equation by -1 to make the coefficient of x positive, resulting in the equation x - y = 13, which is the standard form of the line perpendicular to the given line and passing through the point (5,8).

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Answer:

d. 4^9

Step-by-step explanation:

Question:

Which expression is equivalent to 4^9/4^0?

a. 4^8

b. 4^0

c. 4^7

d. 4^9

Solution:

By definition, a number raised to the 0 power equals 1, with the possible exception of 0^0 which according to some is undefined.

Any number divided by 1 equals the number itself.

For example, 2/1 = 2; 5/1 = 5; -20/2 = -20.

4^0 = 1

Since 4^0 = 1, then when you divide 4^9 by 4^0 you are dividing 4^9 by 1, so you get 4^9.

4^9/4^0 = 4^9/1 = 4^9

Answer:

A. the battery

Step-by-step explanation:

becuase the energy is coming from the battery and into the lightbulb

Answer:

$75

Step-by-step explanation:

180÷12=15

so $15 for one pound.

15×5=75

Five pounds will be $75

Answer:

d) 1/5

Step-by-step explanation:

5(x + 1) - 8 = 5x(2-4)

5x+5-8 = 5x(-2)

5x-3=-10x

15x = 3

x = 1/5

Answer:

Step-by-step explanation:

5(x + 1) - 8 = 5x(2-4)

=> 5x + 5 - 8 = 10x - 20x

=> 5x + 20x - 10x = 8 - 5

=> 15x = 3

\( = > x = \frac{3}{15} \)

=> x = 1/5 (option d) (Ans)

Answer:

Ummmm... Both?

Step-by-step explanation:

66k+9 OR 3(22K+3)

Answer:

k>10

k>-4

Step-by-step explanation:

-10k<-100

k>10

you flip the sign when dividing by a negative

-8k<32

k>-4

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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PLAIN language helps bridge the staggering illiteracy statistics in the United States by making information and communication more accessible, understandable, and inclusive for individuals with low literacy skills. It simplifies complex language, uses plain and straightforward terms, and employs clear formatting to enhance comprehension and promote literacy.

PLAIN language is a communication approach that focuses on making written and spoken information easier to understand. It involves using clear and concise language, avoiding jargon, simplifying complex concepts, and organizing content in a logical manner. By employing PLAIN language principles, organizations and institutions can create materials, such as instructional guides, educational resources, and public information, that are more accessible to individuals with low literacy skills.

In the context of staggering illiteracy statistics, PLAIN language plays a crucial role in breaking down barriers to literacy. By using plain and simple language, individuals with limited reading abilities can better comprehend information, instructions, and stories. This enables them to actively participate in activities such as reading to their children, promoting early literacy development and fostering a love for reading. PLAIN language also empowers individuals with low literacy to navigate important documents, understand health information, engage in civic participation, and access essential services. Overall, PLAIN language helps bridge the gap caused by illiteracy, making information more inclusive and promoting literacy for all.

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Cronbach's alpha calculates the internal consistency of a set of variables or items in a questionnaire or test, indicating how reliably they measure the same construct.

Cronbach's alpha is a measure of reliability used in psychometrics to assess the consistency or homogeneity of a set of items in a questionnaire or test designed to measure a specific construct or trait. It calculates the degree of correlation among the items and indicates the extent to which they measure the same underlying concept. A high alpha value (usually ranging from 0 to 1) indicates strong internal consistency and suggests that the items are measuring the same construct in a reliable manner. Researchers use Cronbach's alpha to evaluate the quality of a test or questionnaire and to determine whether it is suitable for the intended purpose.

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Answer:

x = 146°

Step-by-step explanation:

(all angles in a triangle add up to 180°)

180 - 115 - 31 = 34

(supplmentary angle)

180 - 34 = 146°

Answer:

5x5x5x5x5?

Step-by-step explanation:

bsnakalzldl

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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Answer:

A: 236 sqaure ft.

B: 4 cans

Step-by-step explanation:

Sure, I can help you with that.

Part A:

The total surface area of a rectangular prism is calculated using the following formula:

Total surface area = 2(lw + wh + lh)

where:

In this case, we have:

Plugging these values into the formula, we get:

Total surface area = 2(8*6+6*5+8*5) = 236 square feet

Therefore, the total surface area of the doghouse is 236 square feet.

Part B:

Since the bottom of the doghouse will not be painted, we only need to paint the top, front, back, and two sides.

The total surface area of these sides is 236-6*8 = 188 square feet.

Therefore,

we need 188 ÷ 50 = 3.76 cans of paint to paint the doghouse.

Since we cannot buy 0.76 of a can of paint, we need to buy 4 cans of paint.

Answer:

A)  236 ft²

B)  4 cans of paint

Step-by-step explanation:

The given diagram (attached) shows the doghouse modelled as a rectangular prism with the following dimensions:

The formula for the total surface area of a rectangular prism is:

\(S.A.=2(wl+hl+hw)\)

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

To find the total surface area of the doghouse, substitute the given values of w, l and h into the formula:

\(\begin{aligned}\textsf{Total\;surface\;area}&=2(6 \cdot 8+5 \cdot 8+5 \cdot 6)\\&=2(48+40+30)\\&=2(118)\\&=236\; \sf ft^2\end{aligned}\)

Therefore, the total surface area of the doghouse is 236 ft².

\(\hrulefill\)

As the bottom of the doghouse will not be painted, to find the total surface area to be painted, subtract the area of the base from the total surface area:

\(\begin{aligned}\textsf{Area\;to\;be\;painted}&=\sf Total\;surface\;area-Area\;of\;base\\&=236-(8 \cdot 6)\\&=236-48\\&=188\; \sf ft^2\end{aligned}\)

Therefore, the total surface area to be painted is 188 ft².

If one can of paint will cover 50 ft², to calculate how many cans of paint are needed to paint the doghouse, divide the total surface area to be painted by 50 ft², and round up to the nearest whole number:

\(\begin{aligned}\textsf{Cans\;of\;paint\;needed}&=\sf \dfrac{188\;ft^2}{50\;ft^2}\\\\ &= \sf 3.76\\\\&=\sf 4\;(nearest\;whole\;number)\end{aligned}\)

Therefore, 4 cans of paint are needed to paint the doghouse.

Note: Rounding 3.76 to the nearest whole number means rounding up to 4. However, even if the number of paint cans needed was nearer to 3, e.g. 3.2, we would still need to round up to 4 cans, else we would not have enough paint.

Answer: 10

Step-by-step explanation:

80/100 of 10

0.8 × 10 = 8

8 is 80% of 10

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

To find a number such that, it's 80% is 8.

Let the number be x

80%x =8

This forms an equation in one variable which can be solved by transposition.

\(80x/100=8\)

On multiplying 100 both sides,

\(80x=800\)

On dividing 80 both sides,

x=10

Thus,  80% of 10 is 8.

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Answer:

A newborn weighs 8 pounds at birth and gains 1.5 pounds each month for the next 3 months.

They all mostly seem right, but when a baby is first born the year is 0, so therefore it most likely seems like the first one! :)

^^ hope this helps :)

Answer:

180 cups

Step-by-step explanation:

120 cups when two-third full

If 120= (2÷3)

Then one third full is 60 cups

So 60 cups × 3

180 cups

Answer:

the answer is 2

Step-by-step explanation:

just subtract 2 -

Answer:

Marie has 1 caramel brownie

Step-by-step explanation:

10 percent of 10 is 1

If the ratio of potatoes to turnips is 1:1, then the number of turnips would also be 476.

It would be same because the ratio of 1:1 means that for every single potato, there is one turnip too.

In order to check, why this is happening, we can examine the fact that the ratio of potatoes to turnips is equivalent to the fraction of potatoes divided by the fraction of turnips. Since the ratio is 1:1, therefore, both fractions are equal and each is 1/2 (one-half).

So, if we know the number of potatoes, we can easily use the fraction of potatoes to determine the number of turnips:

(Number of turnips) = (Fraction of turnips) x (Number of potatoes)

Substituting the given values, we can get:

(Number of turnips) = (1/2) x (476) = 238

Hence, there are 238 turnips.

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Answer:

c) 2.2 feet

Step-by-step explanation:

1) Iris' puppy is 2 1/5 feet long. Which

decimal represents Iris' puppy's length?

c) 2.2 feet

Answer:

466

Step-by-step explanation:

50 + 8*52 = 466

Answer:

i think its D

Step-by-step explanation:

Answer:

a on edge 2021

Step-by-step explanation:

i took the test and got 100, hope this helps:)

Answer:

I think it is D

Step-by-step explanation:

Edge