PLEASE HELP BY 8/11/2022

Answer: 8^3

Explanation:

We want to multiply 8^5 multiply 8^-2

We would apply the rule of exponent;

a^b * a^c = a^(b + c)

By comparing both expressions,

a = 8

b = 5

c = - 2

Thus, we have

8^5 * 8^-2 = 8^(5 + - 2) = 8^(5 - 2)

= 8^3

Answer:

c(1.12)

Step-by-step explanation:

To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.

The temperature ranges and their corresponding frequencies are as follows:

30-39: 2 days

40-49: 26 days

50-59: 28 days

60-69: 8 days

70-79: 2 days

To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.

Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.

Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.

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Answer:

log 81 = 1.90849

Step-by-step explanation:

log 81 = log 9^2 = 2 log 9 = 2(0.95424) = 1.90849

Yes, the relationship is proportional and the slope is 1000/3. The unit rate is also 1000/3. So, slope is directly proportional to the unit rate. Since, slope=unit rate.

When the ratio is expressed as a quotient, the same number is provided for every pair of distinct points on the same line ("rise over run"). In a diagram that shows a roof or a road as a description or a plan, the line may be practical as determined by a road surveyor; on a falling line, there is a negative "rise."

The slope's absolute value can be used to estimate a line's steepness, incline, or grade. The slope of a line in the plane that includes the x and y axes is commonly represented by the letter m and is defined as the difference between the y coordinate and the equivalent difference in the x coordinate between two distinct points on the line.

The sales are directly proportional to the number of days

The slope of the lines is given by (3, 1000), (6, 2000)

Slope=(2000-1000)/(6-3)

Slope=1000/3

From the graph given,

$1000 is obtained on 3 days.

Therefore, the unit rate is 1000/3

Therefore, Slope=unit rate=1000/3

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Answer:

100 ft

Step-by-step explanation:

Answer:

230 ft^2

Step-by-step explanation:

Find the Area of the living room

A = L x W

A = 20.25 x 13 1/3

A = 270 ft^2

Find the area of the closet

A = L x W

A = 6 x 6 2/3

A = 40 ft^2

Subtract the area of the closet from the area of the living room

270 - 40 = 230 ft^2

Answer: $5400

Step-by-step explanation:

x =  amount raised so far

13500 - x = amt. still needed

x/3 = (13500 - x)/2

2x = 3(13500 - x)

2x = 40500 - 3x

5x = 40500

x = 40500/5 = 8100 (amt. raised so far)

13500 - 8100 = 5400 (amt. still needed)

To describe the center of the data, we can use either the mean or the median.

To describe the variation of the data, we can use either the range or the interquartile range (IQR).

Looking at the dot plot, it seems that the data is somewhat skewed to the right, with a few high-priced outliers. In this case, the median and the IQR may be more appropriate measures of the center and variation, respectively, as they are less sensitive to outliers.

To find the median and IQR:

Arrange the data in order from smallest to largest.

Find the median, which is the middle value. If there are an even number of values, take the average of the two middle values.

Find the first quartile, which is the median of the lower half of the data.

Find the third quartile, which is the median of the upper half of the data.

Calculate the IQR as the difference between the third quartile and the first quartile.

Here are the steps applied to the dot plot:

We can see that the smallest value is about 20 and the largest value is about 120, giving a range of 100 dollars.

The median is approximately 60 dollars, as it is the middle value between the 11th and 12th data points when the data is arranged in order.

The first quartile is approximately 40 dollars, as it isthe median of the lower half of the data points, which are found below the median.

The third quartile is approximately 80 dollars, as it is the median of the upper half of the data points, which are found above the median.

The IQR can be calculated as the difference between the third quartile and the first quartile, which is approximately 40 dollars.

Therefore, the most appropriate measures to describe the center and the variation for this data set are the median and the interquartile range (IQR), respectively. The median is approximately 60 dollars, and the IQR is approximately 40 dollars.

Answer:

B, because it goes up by 8 until the last of because the jump from 24 to 30 is 6

Answer:

\(f^{-1}(x) = \frac{\sqrt{x}}{13}\)

Step-by-step explanation:

Inverse function:

Suppose we have a function y = f(x). To find the inverse, we exchange the y and the x values, and then isolate y.

Function:

\(f(x) = 169x^2\)

That is:

\(y = 169x^2\)

Exchanging x and y:

\(x = 169y^2\)

Isolating y:

\(y^2 = \frac{x}{169}\)

\(y = \sqrt{\frac{x}{169}}\)

\(y = \frac{\sqrt{x}}{13}\)

\(f^{-1}(x) = \frac{\sqrt{x}}{13}\)

Answer:

\(f(x)=x(x-1)(x^2-2x+2)\)

Step-by-step explanation:

The standard polynomial is given by:

\(f(x)=a(x-p)(x-q)...\)

Where a is the leading coefficient and p and q are the zeros.

We are given that the zeros are x = 0, 1, and 1 + i.

First, by the Complex Root Theorem, if 1 + i is a zero, then 1 - i must also be a zero.

Therefore:

\(f(x)=1(x-(0))(x-(1))(x-(1+i))(x-(1-i))\)

Simplify:

\(f(x)=x(x-1)(x-(1+i))(x-(1-i))\)

Expand the third and fourth factors:

\((x-(1+i))(x-(1-i))=(x-(1+i))(x)-(x-(1+i))(1-i)\)

Distribute:

\(=x^2-x-ix-(x(1-i)-(1+i)(1-i))\)

Expand:

\(=x^2-x-ix-x+ix+(1-i+i-i^2)\)

Therefore:

\(=x^2-2x+(2)=x^2-2x+2\)

Hence, our polynomial function is:

\(f(x)=x(x-1)(x^2-2x+2)\)

Answer:

D. x ≤ 5

Step-by-step explanation:

The closed circle means greater than or equal to (≤) or less than or equal to (≥). The open circle is greater than (<) or less than (>).

And since the circle is closed and the arrow is going to the right, than x is either greater than 5 or equal to 5

9514 1404 393

Answer:

  P(E') = 12/13

Step-by-step explanation:

If E is the event "a 10 is drawn", then its probability is 4/52 = 1/13, because there are 4 cards in the deck that are 10s. The probability of E' is the complement of this:

  P(E') = 1 -P(E) = 1 -1/13

  P(E') = 12/13

\(\sf \Large \boxed{\displaystyle \sf \frac{12}{13} } \\\\\\ 10 \ of \ spades \ or\ 10 \ of \ clubs \ or\ 10 \ of \ diamonds \ or\ 10 \ of \ hearts \\\\4 \ cards \ from \ the \ 52 \ are \ tens\\\\48 \ are \ not \ tens\\\\\displaystyle \frac{48}{52} =\frac{12}{13}\)

The expression (28 + 70) as a multiple of a sum of whole numbers with no common factor is given as

7x(4+10). This is further explained below.

Generally, An express is a finite combination of symbols that have been formed according to principles that rely on the context in which it is used. In mathematics, an expression is also known as a mathematical expression.

In conclusion, When expressed as a multiple of a total of whole numbers that do not have a common component, the equation (28 + 70) is written as 7 times (4 + 10).

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Answer and Explanation:

A confidence interval determines the probability that a range of values(e.g-given a large data set )has the true parameter. Example, to find mean of height of 30+ men, our confidence interval will say that there is 96% confidence that the mean height of 30+ men is between 5ft and 6ft. While confidence intervals, narrow or broad with high or low significance levels may not be akin to accuracy, it will only help to determine the precision or otherwise of our estimate. For example, if confidence interval is narrow as in second option and confidence level is lower, it only narrows down our options to ascertain the true mean or parameter we are investigating and doesn't exactly affect accuracy since we are still not 100% confident our true mean lies in this interval.

Answer:

Item price now= 3.95

Step-by-step explanation:

To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day

Answer:

The volume is 63m³

Step-by-step explanation:

Multiply all sides together so 4 x 7 is 21, 21 x 3 is 63.

The Area of the two circle is 14.13 cm square. and  area of the blue section is 14.13 cm square.

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the shape is the sum of the area of the two smaller circle.

The circles have diameter of 3 unit.

Area of a circle = πr²

where: π = 3.14 = pi

D = diameter

r = radius

1. Radius = 3 cm

Now the area of the big circle =  πr²

Area = 3.14 x 3² = 28.26 cm square

2. Radius = 3/2

Area = 3.14 x 3/2² = 7.06 cm square

Area of the two circle = 7.06 + 7.06 = 14.13 cm square

3.  the area of the blue section = the area of the big circle - Area of the two circle

= 28.26  - 14.13

= 14.13

Therefore, the area of the blue section is 14.13 cm square.

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Answer:

The 99 % confidence interval on the basis of mean is ( 21.7393  ;   22.0257)

Step-by-step explanation:

Mean = Sum of observations / Number of observations

Mean = 21.88 +21.76 +22.14 +21.63+ 21.81 +22.12+ 21.97+ 21.57+ 21.75+ 21.96 +22.20 +21.80/ 12

Mean =x`= 262.59/12=  21.8825

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

∑x²/n= 478.7344 +473.4976 + 490.1796+467.8569+ 475.6761 + 489.2944+ 482.6809+ 465.2649+ 473.0625+ 482.2416 +492.84 + 475.24/ 12

∑x²/n= 5746.5689/12= 478.8807 = 478.881

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

s= 478.881- (21.8825)²= 478.881-478.843= 0.037

The confidence limit 99% for the mean will be determined by

x` ± α(100-1) √s/n

Putting the values in the above equation

= 21.8825 ± 2.58 √0.037/12

Solving the square root

= 21.8825 ± 2.58 (0.05549)

Multiplying the square root with 2.58

=21.8825 ± 0.1432

Adding and subtracting would give

21.7393  ;   22.0257,

Hence the 99 % confidence interval on the basis of mean is ( 21.7393  ;   22.0257)

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Answer:

Ammount of fencing required = perimeter of the rectangular storage.

Perimeter of a rectangle = 2(l+b), where l = length, b = breadth.

so perimeter = 2(40+20) = 2(60) = 120 feet

so fencing required = 120 feet

HOPE IT WAS HELPFUL!

Answer:

\(\Huge \boxed{\mathrm{120 \ feet}}\)

Step-by-step explanation:

The length of the rectangular storage is 40 feet.

The width of the rectangular storage is 20 feet.

The length of fencing is needed to fence the entire rectangular storage.

The perimeter of the rectangle is required.

\(P=2l+2w \\ \\ \sf P=perimeter \\ l=length \\ w=width\)

\(P=2(40)+2(20) \\ \\ P=80+40 \\ \\ P=120\)

120 feet of fencing is needed to fence the rectangular storage.

Answer:

(12x-2 =53 ) (12x=53+2)(12X=55)(x=55/12)X=4.58

Answer:

5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Step-by-step explanation:

Given that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

11 bakers can make 89 pretzels in 2.5 hours, that is, 35.6 per hour (89 / 2.5), and 3,236 per baker per hour (35.6 / 11).

3/4 = 0.75

Therefore, 5.75 bakers, making 3.236 per hour during 1.5 hour, will make the following amount of pretzels:

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Answer:

Ali has 1528. She has 1146 more cards than Max. In total, there are 1910 cards.

Step-by-step explanation:

382 x 4 = 1528

1528 - 382 = 1146

1528 + 382 = 1910

Answer:

The total cost of 12 printers is; $493.41

Cost of first printer; C1 = $54

Cost of second printer is; 95% × 54 = $51.3

Cost of third printer is; 0.95 × 51.3 = $48.735

Cost of fourth printer = 0.95 × 48.735 = $46.298

Now, let us apply same pattern using a calculator for the remaining costs and we will have them as follows;

Total cost of the 12 printers is;

54 + 51.3 + 48.735 + 46.298 + 43.983 + 41.784 + 36.695 + 37.710 + 35.825 + 34.033 + 32.332 + 30.715 = $493.41

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Answer:

Step-by-step explanation:

value of 4, and you want to square it or exponent 2

so 4^2 = 4x4

=16

What is ^-2

It does the same operation however because to is negative it really means putting 4 in the denominator so 2 becomes positive. Inverse of the exponent 2

1/4^2 is the same as 4^-2

which will both give 1/16

In the  word problem above, 0 small pizzas, 1 medium pizza, and 5 large pizzas were delivered to the college.

Let  S = number of small pizzas delivered

Let M = number of medium pizzas delivered

Let L = number of large pizzas delivered

We'll start by solving equation 1 for one variable and substituting it into the other equations.

S + M + L = 12

We can rewrite this equation as -

S = 12 - M - L

Now, substitute this value of S in equations 2 and 3 -

4S + 10M + 15L = 109

4(12 - M - L) + 10M + 15L = 109

48 - 4M - 4L + 10M + 15L = 109

6M + 11L = 61

2S + 4M + 13L = 81

2(12 - M - L) + 4M + 13L = 81

24 - 2M - 2L + 4M + 13L = 81

2M + 11L = 57

Now we have a system of two equations with two variables -

6M + 11L = 61 ...(4)

2M + 11L = 57 ...(5)

Subtract  equation   (5)from equation (4) -

(6M +   11L) - (2M +11L) = 61 - 57

4M = 4

M = 1

Substitute the value of M into equation (5) -

2(1) + 11L = 57

2 + 11L = 57

11L = 55

L = 5

Now substitute the values of M and L into equation (1) -

S + 1 + 5 = 12

S + 6 = 12

S = 6 - 6

S = 0

Therefore, the solution is -

S = 0 (no small pizzas)

M = 1 (1 medium pizza)

L = 5 (5 large pizzas)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

a pizza shop delivered 12 pepperoni pizzas to a college on the first night of final exams. the total cost of the pizzas was $109. a small pizza costs $4 and contains 2 ounces of pepperoni. a medium pizza costs $10 and contains 4 ounces of pepperoni. a large pizza cost $15 and contains 13 ounces of pepperoni. the owner of the pizza shop used 5 pounds 1 ounces of pepperoni in making the 12 pizzas. how many pizzas of each size were delivered to the college?

1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns

1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.

To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:

reliability = 0.95

time = maintenance interval

Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.

2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.

The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:

Probability of no breakdowns = (reliability of a single machine)^3

Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:

Probability of at least one breakdown = 1 - Probability of no breakdowns

By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.

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Answer:

10. f'(x) = (x/14) + (14/9)

11. f'(x) = - x + 2

12. f'(x) = 2x - 8

Step-by-step explanation:

The step to solving inverse is a simple trick. You must invert x and y.

For (10.) let f(x) = y

then y = 9x - 14

x = 9y - 14 (this is inverting x and y)

solving for y: x + 14 = 9y

therefore : y = (x/14) + (14/9)

You can do this for the others as well and using simple "solve for x" methods, you can solve for y which is f'(x).