(a) Manuel bought 26 pounds of flour for $12.
How many pounds of flour did he get per dollar?
pounds per dollar
(b) Rachel runs 11 miles in 105 minutes.
How many miles does she run per minute?
miles per minute

Answer: 3

2

3

3

+

2

4

3

3

−

3

6

2

3                                                                              

Step-by-step explanation: my diclk

Answer: 2m^2n^3

Step-by-step explanation:

I'm assuming this is the expression:

\(-\:24m^3n^3\:+\:32m^3\:n^3x\:-\:18m^2\:x^2n^3\)

Factor 24m^3n^3 by separating all terms (use 2's and 3's as all terms are divisible by them):

\(2\cdot \:2\cdot \:2\cdot \:3\cdot \:m\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\)

Factor 32m^3n^3x:

\(2\cdot \:2\cdot \:2\cdot \:2\cdot \:2\cdot \:m\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\cdot \:x\)

Factor 18m^2x^2n^3:

\(2\cdot \:3\cdot \:3\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\cdot \:x\cdot \:x\)

Common factor (terms that are present in all factored expressions):

\(2\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\)

Simplify to:

\(2m^2n^3\)

The test statistic is -1.75, the critical value is 0.1, and the p value is 0.401.

\(H_{o}\)= p=.77 (p>or=.77) claim

\(H_{a}\)= p < .77

success = 55

observed =80

p = 0.6875

z-stat = -1.753

p = 0.0398

a = .01

Level = p() .05

stat calc normal plug in = -2.326

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B

1) The way we're going to tackle this question is at first treating each inequality as an equation. So let's pick the first inequality, rewrite it as an equation set a t-table, and then trace a line.

2)

I) x+2y≤4

Rewriting it as a slope-intercept equation we get:

Setting a t-table:

So we'll plot the following points: (-2,3), (-1, 2.5), (0, 2), (1, 1.5), (2, 1)

Similarly, we can do the same with the 2nd inequality:

3x-y≤2

Now, the t-table:

So the points we're going to use are: (-2,-4), (-1,-1), (0,2), (1,5), (2,8)

3) Now, let's treat them back as inequalities and plot them the solution will be on the darkest region, where the two regions overlap:

Examining the options, we can state the answer is: B

Answer:

The population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

Step-by-step explanation:

The migration matrix is given as:

\(A= \left \begin{array}{cc} \\ C \\S \end{array} \right\left[ \begin{array}{cc} C&S\\ 0.94&0.06 \\0.02&0.98 \end{array} \right]\)

The population in the  year 2000 (initial state) is given as:

\(\left[ \begin{array}{cc} C&S\\ 500,000&700,000 \end{array} \right]\)

Therefore, the population of the city and the suburb in 2002 (two years after) is:

\(S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right\left[ \begin{array}{cc} 0.94&0.06 \\0.02&0.98 \end{array} \right]^2\)

\(A^{2} = \left[ \begin{array}{cc} 0.8848 & 0.1152 \\\\ 0.0384 & 0.9616 \end{array} \right]\)

Therefore:

\(S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right \left[ \begin{array}{cc} 0.8848 & 0.1152 \\ 0.0384 & 0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 500,000*0.8848+700,000*0.0384& 500,000*0.1152 +700,000*0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 469280& 730720 \end{array} \right]\)

Therefore, the population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

The population of the city in 2002 is 442,080 while the population of the suburb is 674,080.

The populations are given as:

\(\mathbf{P_c = 500000}\) --- the population of the city in 2000

\(\mathbf{P_s = 700000}\) --- the population of the suburbs of the city in 2000

For the city, we have:

94% stays, while 6% moves out

For the suburbs, we have:

98% stays, while 2% moves out

Population is calculated using:

\(\mathbf{P =P_o r^t}\)

Where:

The population of the city is:

Population = Population that stays in the city in 2 years + Population that enters from the suburbs in 2 years

So, we have:

\(\mathbf{P = 500000 \times (94\%)^2 + 700000 \times (2\%)^2}\)

\(\mathbf{P = 442080}\)

The population of the suburb is:

Population = Population that stays in the suburb in 2 years + Population that enters from the city in 2 years

So, we have:

\(\mathbf{P = 700000 \times (98\%)^2+ 500000 \times (6\%)^2 }\)

\(\mathbf{P = 674080}\)

Hence, the population of the city in 2002 is 442,080 while the population of the suburb is 674,080.

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The total perimeter of the given composite figure is; 74.55 meters

The perimeter of the given figure can be calculated by dividing the figure into two parts : One is semi-circle and second is rectangle.

To find Perimeter of rectangle :

Length of the rectangle = 18 m

Width of the rectangle = 15 m

Perimeter = (2 × Length) + Width

Perimeter = (2 × 18) + 15

Perimeter = 36 + 15

Perimeter = 51 meters

To find perimeter of semi-circle :

Radius of semi-circle = 15/2 = 7.5 m

Perimeter of semi-circle = π × radius

Perimeter = 3.14 × 7.5

Perimeter = 23.55 meter

So, Total Perimeter of the figure = 51 + 23.55

= 74.55 meter

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Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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Given:

3 and 5i are the roots of the equation.

It is given that n=3 .

Let assume the third root be the conjugate of complex root that is -5i

Then the polynomial function :

Given that f(1)= -52,

Answer:

the answer would be 139000

Answer:139000

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

Answer:

A. The total distance the car travels in miles between hours 3 and 7.

Step-by-step explanation:

I took the test!

Answer:

\(5xy\)

Step-by-step explanation:

\(\mathrm{Factor\:}:5x^2y\)

\(5\cdot \:x\cdot \:x\cdot \:y\)

\(\mathrm{Factor\:}:10xy^2\)

\(2\cdot \:5\cdot \:x\cdot \:y\cdot \:y\)

Common factor:-

\(5\cdot \:x\cdot \:y\)

OAmalOHopeO

Answer:

Ahaha idek

Step-by-step explanation:

The probability that the students will have a pop quiz on a randomly selected day is 0.77, or 77%.

Probability is a measure of the likelihood of an event occurring. In mathematics, probability is usually defined as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. For example, the probability of rolling a six on a fair six-sided die is 1/6, or approximately 0.167.

The concept of probability is used to describe random phenomena, such as the outcomes of a coin toss or the weather forecast. Probability theory provides a framework for calculating the probabilities of various events, based on certain assumptions and rules.

To find the probability that the students will have a pop quiz on a randomly selected day, we need to use the law of total probability and consider both cases: when Mrs. Barnes checks homework and when she does not check homework.

The probability of having a pop quiz on a randomly selected day can be calculated as:

P(pop quiz) = P(checks homework) * P(pop quiz | checks homework) + P(does not check homework) * P(pop quiz | does not check homework)

Substituting the given probabilities, we get:

P(pop quiz) = 0.42 * 0.6 + 0.58 * 0.9

P(pop quiz) = 0.252 + 0.522

P(pop quiz) = 0.774

Therefore, the probability that the students will have a pop quiz on a randomly selected day is 0.77, or 77%.

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The LCM of 4 and 6 is 12.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, common multiples of 4 and 6 are 12, 24 and 36, but the lowest of those is 12; therefore, the lowest common multiple of 4 and 6 is 12.

Given:

4: 2 x 2

6: 2 x 3

Now, as there is one 2 common in both then it will be written for one time.

and the rest uncommon numbers are written as same as well.

So, LCM( 4, 6)= 2 x 2 x 3 = 12

Hence, the LCM of 4 and 6 is 12.

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Step-by-step explanation:

The leading term is -5x^4, which tells us the highest degree of the polynomial.

The leading term in the equation tells us about the degree and whether the curve opens outwards on inwards

What is an equation in one variable?

An equation is a polynomial in one variable with a finite degree

We are given an equation

\(-5x^4+4x^3-6x^2+8\)

In this the leading term is -5x^4

Here the coefficient is negative this tells us that the curve opens downwards. if the coefficient has been positive then the curve would open outwards.

Also from the leading term we can find out the degree of the highest variable. the degree of highest variable in this case is 4

Hence, The leading term in the equation tells us about the degree of the variable and whether the curve opens outwards on inwards

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Answer:

Sequence:

(a) Recursive formula:

(b) Explicit rule:

(c) aₙ = 50, n = ?

Day 9

Answer:

The expression that can be used to determine the reference angle for an angle, x, measuring 150° is A) 180 - X.

The reference angle is the acute angle between the terminal side of an angle and the x-axis in standard position. To find the reference angle for an angle greater than 90 degrees, we subtract the angle from 180 degrees.

In this case, the angle is x = 150 degrees. So, the reference angle would be:

180 - x = 180 - 150 = 30 degrees.

Therefore, the reference angle for an angle measuring 150 degrees is 30 degrees.

Answer:

The angle of x is 83°

Step-by-step explanation:

A straight line has a total of 180°. That means if you can figure out what the third angle on the bottom is (the one in the middle) you can add 41 to it and subtract that from 180. Since all the lines are straight you can say that the middle angle on the bottom is the same as the middle angle on the top. So:

180° - (41° + 56°) = 83°

Answer:

126.9° and 323.°1

Step-by-step explanation:

I'll use x instead of theta and you can replace it by theta

5 sin x + 3 = 0

5 sin x = - 3

Sin x = - 3/5

Key angle = sin¯¹ 3/5 = 36.8698

Sin negative, so we use the third and fourth quadrants

X = 90+36.8698, 360-36.8698

X = 126.8698, 323.1302

Theta = 126.9°, 323.°1

Answer:

its b

Step-by-step explanation:

Answer:

All Real Numbers (B)

Step-by-step explanation:

The line has arrows at each end meaning that they'll continue forever. Domain are the numbers for X. The answer would be B. If it were range it'd be y < 3.

The correct comparison of the population and sampling distribution is A. Means are the same but the standard deviation of sampling distribution is smaller

X X^2

95 9025

96 9216

98 9604

Sum = 289 27845

n 3

The sample mean 96.33333333 SUM/n

Population mean 96.33333333 SUM/n

Sample standard dev \(1.527525232 \sqrt{((1/(n-1))(SUM(X^2)-(1/n)SUM(X)^2)}\)

Population standard dev \(1.247219129 \sqrt{((1/n)(SUM(X^2)-(1/n)SUM(X)^2)}\)

Population Mean(μ) = 96.33

Population standard deviation (σ) = 1.25

Option A) 95,96,98 and X bar = 96.33

Sampling distribution :

mean (μx = μ) = 96.33

standard deviation(σx = σ/SQRT(n)) = 1.25/SQRT(3) = 0.72

Option A) Means are the same but the standard deviation of the sampling distribution is smaller

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Answer:

The probability that it was raining on Monday given that Shameel misses his flight is 0.5846.

Step-by-step explanation:

Answer:

x = 9 & y = 29

Step-by-step explanation:

Since we know that 7x is next to 117, that area will be equal to 180*,

7x + 117 = 180

7x = 180-117

7x=63

x=9

to find y, you can use the same method, just by finding the other angle inside. 53+7(9) + z = 180

53+63 = 180

116+z = 180

z = 180-116

z = 64.

Then we do

4y + 64 = 180

4y = 180-64

4y=116

y = 29

Answer:

\(n=26\)

Step-by-step explanation:

So we have the equation:

\(-413.4=-15.9n\)

To figure out the value of n, divide both sides by -15.9. The right will cancel. Thus:

\(n=(-413.4)/(-15.9)\)

Use a calculator:

\(n=26\)

So, the answer is 26.

So, yes, you are very correct!

Answer:

n=26

Step-by-step explanation:

We are given the equation:

\(-413.4=-15.9n\)

We want to solve for the unknown variable, which is n. Therefore, we must isolate n on one side of the equation.

n is being multiplied by -15.9. The inverse of multiplication is division. Divide both sides of the equation by -15.9

\(\frac{-413.4}{-15.9} =\frac{-15.9n}{-15.9}\)

\(\frac{-413.4}{-15.9}=n\)

\(26=n\)

Let's check our solution. Plug 26 in for n and solve.

\(-413.4=-15.9n\)

\(-413.4=-15.9(26)\)

Multiply -15.9 and 26.

\(-413.4=-413.4\)

This checks out, so we know our solution is correct.

The solution to this equation is n=26 and you are correct!

Answer: (2x+4)

Step-by-step explanation:

The term (4x+8) is in brackets. That means whatever you do to it will affect every term in the bracket.

This time, you are dividing by 2

Thus, (4x+8)/2 = 4x/2+8/2

=2x+4

Hope this helps! :)

\(\huge\text{Hey there!}\)

\(\huge\textsf{Guide to follow:}\)

\(\bullet\large\text{ Difference means to subtract}\\\bullet\large\text{ Product means to multiply}\\\bullet\large\text{ Quotient means to divide}\\\bullet\large\text{ Sum means to add}\)

\(\huge\textsf{Now that we have that information out the way,}\\\\\huge\textsf{we can answer your given equation.}\)

\(\huge\textsf{Question reads}\)

\(\star\large\text{ Find a product of 3 and 2}\)
\(\star\large\text{ Since, we are looking for the product of those two numbers (3 \& 2)}\\\large\text{we know that we have to \textsf{\underline{multiply}} them from each other. }\)

\(\huge\textsf{What should the equation look like?}\)

\(\large\text{3} \times \large\text{2}\)

\(\huge\textsf{What is the easiest way to solve for this equation?}\)

\(\large\text{3} \times \large\text{2}\\\rightarrow\large\text{3 + 3}\\\rightarrow\large\text{6}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\text{The product of 3 and 2 is: \boxed{\mathsf{6}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

I think its C

Step-by-step explanation: