5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

The statements that correctly compare the sum and product of the function are:

A linear function simply means a function that represents a straight line on the coordinate plane.

In this case, the sum is linear and the product is quadratic while the sum has one y-intercept and the product has two x-intercepts.

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Using it's concepts, we have that:

The absolute change between two values is given by the absolute value of the difference between two values.

In this problem, the values are of $40,156 million, which is the final value, and $25,003 million, which is the initial value, hence the absolute change is:

A = 40,156 - 25,003 = $15,153 million.

The relative change is the absolute change multiplied by 100% and divided by the initial value, hence:

(15,153/25,003) x 100% = 60.60%.

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The answer is no. b.

Step-by-step explanation:

The answer is no b. u just take common

The simplification of the equation above in words is = Twelve minus thirteen X.

In mathematics, coefficients are those numbers that multiplies a variable. For example in 13x, the coefficient is 13 which multiplies a variable known as X.

The equation given is,

10 - 13x + 2

Arrange the digits without a coefficient together.

That is ,

10+2 -13x

12 - 13x

Therefore the simplification of the given equation in words is Twelve minus thirteen X.

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(a) The truth about Karen's sales is that Karen had sales lower in value than about 74% of the salespeople. So, the correct option is D.

(b) The truth about Karen's and Brian's sales is that both Karen and Brian had lower sales in value than the median. So, the correct option is D.

Given that department stores rank their 1,000,000 salespeople by the monetary value of their sales. Karen's sales are at the 26th percentile and brian's sales are at the 33rd percentile.

A percentile is a measure used in statistics that indicates the value below which a certain percentage of observations in a group of observations falls.

(a)  Karen had sales lower in value than about 74% of the salespeople because the 26% percentile represents his relative position among all the employees in terms of sales.

(b) Both Karen and Brian had sales lower in value than the median because the Median represents the 50th percentile. Since Karen's sales are at the 26th percentile and Brian's sales are at the 33rd percentile it implies their sales are less than the median value.

Hence, the truth about Karen's sales is  Karen had sales lower in value than about 74% of the salespeople, and true about Karen's and Brian's sales is both Karen and Brian had lower sales in value than the median.

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[tex]\large\displaystyle\text{$\begin{gathered}\sf 5(3+6)x^{2} -6x^{2} \end{gathered}$}[/tex]

Add 3 and 6 to get 9.

Multiply 5 and 9 to get 45.

Combine 45x² and −6x² to get 39x².

The greatest common factor from the given information is 12h³.

The greatest common factor (GCF) of a given set of whole numbers is the largest value that can be divided by the set of numbers.

From the information given, we are to find the GCF of:

12h³ = (1 , 2, 3, 4, 6 , 12 )h³

36h³ = (1, 2, 3, 4, 6, 9, 12, 18, 36)h³

12h⁶ = (1, 2, 3, 4, 6, 12)h³ * h³

Therefore, we can conclude that the greatest common factor is 12h³.

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Answer:

15

Step-by-step explanation:

cost of 20 mobile set=300

cost of 1 mobile set

=cost of mobile set/number of mobile set

=300/20

=15

The cost of each mobile set is ₹1,50,000.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Given that, a shopkeeper sold 20 mobile sets of same brand for ₹3,000,000.

The selling price of each mobile set​ = Total cost of mobile sets/Number of mobile sets

= 3,000,000/20

= ₹1,50,000

Therefore, the cost of each mobile set is ₹1,50,000.

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By De Moivre's formula, we have the following four roots: [tex]z_{1} = 1.565 \cdot \left(\cos \frac{\pi}{6} + i\,\sin \frac{\pi}{6} \right)[/tex], [tex]z_{2} = 1.565\cdot \left(\cos \frac{2\pi}{3} + i\,\sin \frac{2\pi}{3} \right)[/tex], [tex]z_{3} = 1.565\cdot \left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6} \right)[/tex] and [tex]z_{4} = 1.565\cdot \left(\cos \frac{5\pi}{3} + i\,\sin \frac{5\pi}{3} \right)[/tex].

According to complex analysis, the fourth roots of a complex number can be found by De Moivre's formula:

[tex]\sqrt[n]{z} = \sqrt[n]{r}\cdot \left[\cos \left(\frac{\theta + 2\pi\cdot i}{n} \right)+ i\,\sin \left(\frac{\theta + 2\pi\cdot i}{n} \right)\right][/tex], for [tex]i = \{0, 1, ..., n - 1\}[/tex]     (1)

Where:

First, we find the magnitude and direction of the complex number:

[tex]r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2}}[/tex]

r = 6

[tex]\theta = \tan^{-1} \left(\frac{3\sqrt{3}}{-3} \right)[/tex]

[tex]\theta = \frac{2\pi}{3} \,rad[/tex]

Now we find the four quartic roots of the complex number:

[tex]z_{1} = 1.565 \cdot \left(\cos \frac{\pi}{6} + i\,\sin \frac{\pi}{6} \right)[/tex]

[tex]z_{2} = 1.565\cdot \left(\cos \frac{2\pi}{3} + i\,\sin \frac{2\pi}{3} \right)[/tex]

[tex]z_{3} = 1.565\cdot \left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6} \right)[/tex]

[tex]z_{4} = 1.565\cdot \left(\cos \frac{5\pi}{3} + i\,\sin \frac{5\pi}{3} \right)[/tex]

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The set of all months that contains less than 31 days is; {February, April, June, September, November}.

It follows from the task content that the set whose elements are to be determined is characterized by containing less than 31 days.

On this note, it follows that the elements of the set are; February (28/29 days), April (30 days), September (30 days), June (30 days) and November (30 days).

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Answer:

Step-by-step explanation:

The value of csc theta is [tex]\frac{3. 61}{2}[/tex]

It is important to note that the ratio for cot is given as;

Cot theta = adjacent/opposite

cosec theta = hypotenuse/opposite

If cot theta = 3/2, then

Adjacent = 3

Opposite = 2

Using Pythagoras theorem, we have

Hypotenuse square = opposite + adjacent square

[tex]H = \sqrt{2^2 + 3^2}[/tex]

[tex]H = \sqrt{4 + 9}[/tex]

[tex]H = 3. 61[/tex]

Cosec theta = [tex]\frac{3. 61}{2}[/tex]

Thus, the value of csc theta is [tex]\frac{3. 61}{2}[/tex]

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Answer:

3.16/2

Step-by-step explanation:

Have a great day

The spending variance for salaries and wages cost in February would be closest to; $282 F.

The spending variance as the name implies is the difference between the budgeted cost and actual cost paid for an item. It therefore follows from the definition above that for the month of February;

Spending variance = $7,640 - (2850 + (16×317))

Spending variance = $7,640 - (7922)

Spending variance is therefore; $282 F.

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Step-by-step explanation:

3 answer.....

......dkdkdk

The confidence interval for the population proportion, p is (0.766, 0.833)

The formula for calculating the confidence interval for proportion is expressed as:

CI = p±√pq/n

Given the following

p = 112/140 = 0.8

q = 1-p = 0.2

Substitute

CI = 0.8±√(0.8)(0.2)/140

CI = 0.8±0.0338

CI = (0.766, 0.833)

Hence the confidence interval for the population proportion, p is (0.766, 0.833)

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Answer:

Hello,

Step-by-step explanation:

[tex]log(5-2x)=0\\\\\ \Longleftrightarrow\ 10^{log(5-2x)}=10^0\\\\\\\Longleftrightarrow\ 5-2x=1\\\\\Longleftrightarrow\ 2x=5-1\\\\\\\Longleftrightarrow\ x=\dfrac{4}{2}\\\\\\\Longleftrightarrow\ \boxed{x=2}\\[/tex]

From the table, we can deduce that The y-values increase by a factor of 7 for each x increase of 1 and is denoted as option C.

This is defined as a number which divides another without leaving a remainder afterwards.

From the table, we can deduce that the y-values are divisible by 7 thereby  making it a factor of it and confirming that it increase by a factor of 7 for each x increase of 1.

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Answer: 5

Step-by-step explanation: 2 + 5 = 7,  7 + 5 = 12,  12 + 5 = 17,  17 + 5 = 22

The order in which he can wear the socks with repetition in 7 days is 823, 543 orders

The formula for calculating permutation with repetition is given as;

Permutation = [tex]n^r[/tex]

Where n = 7

r = 7

Substitute into the formula

Permutation = [tex]7^7[/tex]

Permutation = [tex]823, 543[/tex] ways

Thus, the order in which he can wear the socks with repetition in 7 days is 823, 543 orders

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Answer:

B.) (1, -5)

Given, equation:

[tex]\sf \dfrac{(x-1)^2}{25} -\dfrac{(y+5)^2}{49} =1[/tex]

Comparing it with standard formula of hyperbola:

[tex]\sf \dfrac{(x-h)^2}{a^2} -\dfrac{(y-k)^2}{b^2} =1[/tex]

where (h, k) is center

The given equation in standard form:

[tex]\sf \dfrac{(x-1)^2}{5^2} -\dfrac{(y-(-5))^2}{7^2} =1[/tex]

Determined:

(h, k) = (1, -5)

a = 5, b = 7

So, here (1, -5) is the center of the given hyperbola.

The price of the chairs and the quantity that maximizes profit is to sell 45 chairs at $75 each.

Given that a furniture store can sell 40 chairs per week at a price of $80 each, and the manager estimates that for each and $5 price reduction, she can sell five more chairs per week, and the chairs cost the store $30 each, to determine the price of the chairs and the quantity that maximize profit, the following calculation must be made:

Therefore, the price of the chairs and the quantity that maximizes profit is to sell 45 chairs at $75 each.

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Using an exponential function, the median household income after 5 years was of $42,578.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

For this problem, the parameters are:

A(0) = 42050, t = 5, r = 0.0025[/tex]

Hence:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 42050(1.0025)^t[/tex]

[tex]A(5) = 42050(1.0025)^5 = 42578[/tex]

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Answer:

Step-by-step explanation:

Initial volume of mixture is 100 ml with oil to water ratio of 1 : 4.

First, let's find the volume of each component.

If the oil is x then water is 4x according to ratio and their sum is 100 ml:

So, we have 20 ml of oil and 80 ml of water.

Now, let's added volume of oil be y. Then we have the ratio:

So, we have 40 ml of oil and 80 ml of water.

Lastly, let's added water be z. Then we have the ratio:

We must add 40 ml of water.

Answer:

c. [-1, infinity)

Step-by-step explanation:

the domain the interval or set of valid x values (while the range is the same for the valid y values).

what is the smallest value of x we see for the graph ?

for x values we need to look left and right.

and the more left the value, the smaller it is.

so, in other words, what is the left-most x value e can find ?

x = -1

that is the "starting point" of the function. there is no functional value for any smaller x.

and then clearly, the function goes on and on to the right without any boundary in sight. so, it keeps going to the right in all eternity, that means it goes to infinity.

therefore the answer.

keep in mind that "infinity" is not a number, only a concept. so, when writing "infinity" at an interval end, it is not included (and we use a round bracket).

A. The greatest number of friends who can receive a necklace made from a combination of 72 blue and 42 red beads is 6.

B. Each friend will receive a necklace with 12 blue beads and 7 red beads.

The solution to this problem can be determined by considering the highest common factors of 72 and 42.

The common factors of 72 and 42 are 2 and 3.

The factors of 72 are 2, 3, and 12.

The factors of 42 are 2, 3, and 7.

2 x 3 = 6

When 6 divides 72 = 12

When 6 divides 42 = 7

Number of blue beads = 72

Number of red beads = 42

The highest number that can divide 72 and 42 without a remainder is 6.

Thus, each friend's necklace will contain 19 beads (12 blue beads and 7 red beads).

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Answer:

d.) $112.50

Step-by-step explanation:

Area of floor:

15 ft × 10 ft = 150 ft²

150 ft² is how many times 12 ft²?

It is 150 ft² / 12 ft² = 12.5.

150 ft² is 12.5 times 12 ft².

12 ft² cost $9.00, so 12.5 times 12 ft² costs 12.5 times $9.00.

12.5 × $9.00 = $112.5

Answer: d.) $112.50

Using an exponential function, it is found that:

a) The doubling time of the salary is of approximately 20 years.

b) The salary will be of $160,000.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

The growth rate for this problem is:

r = 0.035.

The doubling time is t for which A(t) = 2A(0), hence:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]2A(0) = A(0)(1.035)^t[/tex]

[tex](1.035)^t = 2[/tex]

[tex]\log{(1.035)^t} = \log{2}[/tex]

[tex]t\log{1.035} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.035}}[/tex]

t = 20 years.

You retire in 40 years, which is 2 doubling periods, hence the salary will be of:

40000 x 2 x 2 = $160,000.

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The percent of students that preferred alternative ​music is 23.7%

The music type and the preference are given as:

Music Preferences

Rap            945

Alternative 462

Rock and Roll 275

Country         168

Jazz              15

Other          85

From the above table, we have:

Alternative = 462

Total = 945 + 462 + 275 + 168 + 15 + 85

Total = 1950

The percentage is then calculated as:

Percentage = Alternative/Total * 100%

This gives

Percentage = 462/1950 * 100%

Evaluate

Percentage = 23.7%

Hence, the percent of students that preferred alternative ​music is 23.7%

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