Evaluate. Write your answer as a fraction or whole number without exponents. 9^-1

Answer:

864 cards

Step-by-step explanation:

Goal: 15 set of cards

*72 cards in a set*

15 x 72 = 1080

15 sets of cards = 1080 cards in total

However Kareem so far has 216 cards.

To find out how much more cards Kareem need to reach his goal, you do the following:

1080 - 216 = 864

Kareem needs 864 more cards to reach his goal.

hope this helped....

Answer:

denote the time by T , distance by S , and the speed by V. We have that S = 7150km, V = 780 km/hr , T= ?.. T = S:V = 7150 : 780 = 9.17

Answer is T = 9.17 hour

We have that, given the equation (x)/(7)+(x)/(9)=(9)/(14) we will get as an answer x = 567/224

To solve the equation (x)/(7)+(x)/(9)=(9)/(14), we need to find the common denominator of the fractions on the left-hand side of the equation. The common denominator of 7 and 9 is 63, so we can multiply each fraction by the appropriate factor to get the common denominator:

[tex](x)/(7) * (9)/(9) + (x)/(9) * (7)/(7) = (9)/(14)[/tex]

[tex](9x)/(63) + (7x)/(63) = (9)/(14)[/tex]

Now we can combine the numerators on the left-hand side of the equation:

[tex](16x)/(63) = (9)/(14)[/tex]

To isolate the variable x, we can cross-multiply and then divide by the coefficient of x:

[tex](16x)(14) = (9)(63)[/tex]

[tex]224x = 567[/tex]

[tex]x = 567/224[/tex]

To check our answer, we can plug it back into the original equation and simplify:

[tex](567/224)/(7) + (567/224)/(9) = (9)/(14)[/tex]
[tex](567/224) * (1/7) + (567/224) * (1/9) = (9)/(14)(567/1568) + (567/2016) = (9)/(14)(1275752 + 1140480)/(3167232) = (9)/(14)(2416232)/(3167232) = (9)/(14)(9)/(14) = (9)/(14)[/tex]

Since both sides of the equation are equal, our answer is correct.

Answer: [tex]x = 567/224[/tex]

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He should sell 50 5-oz containers and 15 10-oz containers to maximize his revenue.

A cοntainer is a standard unit οf sοftware that packages up cοde and all its dependencies sο the applicatiοn runs quickly and reliably frοm οne cοmputing envirοnment tο anοther. Cοntainers are a sοlutiοn tο the prοblem οf hοw tο get sοftware tο run reliably when mοved frοm οne cοmputing envirοnment tο anοther. This cοuld be frοm a develοper’s laptοp tο a test envirοnment, frοm a staging envirοnment intο prοductiοn, and perhaps frοm a physical machine in a data center tο a virtual machine in a private οr public clοud.

Corner point (x, y) Value of 8x+14y

0(0,0) 0

A(65,0) 520

B(50, 15) 610

C(0,40) 560

So, the maximum value is 610

Therefore, the maximum point is B(50, 15)

∴ x = 50, y = 15

So, the maximum value is

Therefore, the maximum point is

Hence, he should sell 50 5-oz containers and 15 10-oz containers to maximize his revenue.

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Answer:

x = -3 to x = 2

Step-by-step explanation:

The function is decreasing where the slope is negative, seen when the y-values decrease as the x-values increase. Your answer is correct.

Answer:

X is - 3 to x is 2

Step-by-step explanation:

Look at the x axis, the point where the curve slopes down is the decreasing point

Where x is - 3 is a peak point, it begins to slope from there and rises when x is 3

Answer:

Step-by-step explanation:

A is y=x+4

b is y=14

The algebraic equation that could be used to solve the problem is C. n + 4n = 2.10.

An algebraic equation is a mathematical statement that represents the equality of two expressions, using one or more variables, and mathematical operations such as addition, subtraction, multiplication, and division.

To solve this problem, we can use algebraic equations. Let's use the variable "n" to represent the number of nickels that Peggy has.

From the problem statement, we know that Peggy has four times as many quarters as nickels, which means she has 4n quarters.

We also know that she has a total of $2.10 in all. The value of her nickels is 0.05n dollars each, and the value of her quarters is 0.25(4n) = n dollars each. So we can set up the following equation:

0.05n + 0.25(4n) = 2.10

Simplifying this equation, we get:

0.05n + n = 0.525

1.05n = 2.10

n = 2

Therefore, Peggy has 2 nickels and 4(2) = 8 quarters.

Hence, the equation that could be used to solve the problem is C. n + 4n = 2.10.

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To find a unit vector with a positive first component that is orthogonal to all three of the given vectors, we need to find a vector x = (x1, x2, x3, x4) that satisfies the following equations:

= 0
= 0
= 0

This means that:

x1 - x2 + 7x3 = 0
8x1 + x2 + x4 = 0
x1 + 6x3 + x4 = 0

We can solve this system of equations to find x. One possible solution is x = (1, -1, 0, 1). However, this is not a unit vector, so we need to divide each component by the length of the vector to get a unit vector:

x = (1, -1, 0, 1) / ||(1, -1, 0, 1)|| = (1/sqrt(3), -1/sqrt(3), 0, 1/sqrt(3))

So, the unit vector with a positive first component that is orthogonal to all three of the given vectors is (1/sqrt(3), -1/sqrt(3), 0, 1/sqrt(3)).

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Malcom ate 7/10 of the total chocolates.

Amount is a term used to describe the quantity of something, usually a numerical value. It can refer to money, a number of people or objects, or a measurement such as weight or volume. Amounts can also be used to represent a value of something abstract, such as time, effort, or emotion. Amounts are typically quantified, meaning they can be easily compared to other amounts.

The fraction of chocolates that Malcom ate is 5/7 of the milk chocolates and 2/5 of the dark chocolates, so the total fraction of chocolates that Malcom ate is (5/7) + (2/5) = 7/10. Therefore, Malcom ate 7/10 of the total chocolates.

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To calculate the effect of the pump, use the formula: P = Q * ΔP / η and To calculate the efficiency of the pump, use the formula: η = P / P_e. Use the data provided in the EXCEL file.

To solve the questions, follow these steps:

a) Calculate effects and efficiencies for all operating points:

1. To calculate the effect of the pump, use the formula: P = Q * ΔP / η, where P is the power of the pump, Q is the volume flow rate, ΔP is the pressure difference across the pump, and η is the efficiency of the pump.

2. To calculate the efficiency of the pump, use the formula: η = P / P_e, where P is the power of the pump, and P_e is the electrical power input to the pump.

3. Use the data provided in the EXCEL file to calculate the effects and efficiencies for all operating points.

b) Create a graph showing the delivery pressure (Pa) ("Pump 1") as a function of volume flow (Flow Rate Q) in (m3 / s):

1. Select the data for the delivery pressure (Pa) and volume flow (Flow Rate Q) in the EXCEL file.

2. Click on the "Insert" tab in EXCEL and select the "Scatter" chart option.

3. Choose the "Scatter with Straight Lines" option to create a graph showing the delivery pressure (Pa) as a function of volume flow (Flow Rate Q).

c) Create a graph showing motor power (Pump 1) (W) as a function of volume flow (Flow Rate) Q (l / s) on an axis and efficiency (Pump 1 (%) on a secondary axis:

1. Select the data for the motor power (Pump 1) (W) and volume flow (Flow Rate) Q (l / s) in the EXCEL file.

2. Click on the "Insert" tab in EXCEL and select the "Scatter" chart option.

3. Choose the "Scatter with Straight Lines" option to create a graph showing the motor power (Pump 1) (W) as a function of volume flow (Flow Rate) Q (l / s).

4. Add a secondary axis to the graph by clicking on the "Format" tab in EXCEL and selecting the "Secondary Axis" option.

5. Select the data for the efficiency (Pump 1 (%) and add it to the secondary axis of the graph.

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Answer:

Let x be the score Natasha needs to earn on her next test to reach an average of 90%.

To find x, we can use the formula for the average:

average = (sum of scores) / (number of scores)

We know that Natasha has taken 5 tests so far, with scores of 94%, 89%, 88%, 92%, and 85%. We can plug these values into the formula and solve for x:

90% = (94% + 89% + 88% + 92% + 85% + x) / 6

Multiplying both sides by 6, we get:

540% = 448% + x

Subtracting 448% from both sides, we get:

92% = x

Therefore, Natasha needs to earn a score of at least 92% on her next test to reach an average of 90%.

i) If σ > 0 is unknown, then the distribution of Y is in a location-scale family with the parameters: Location parameter: α and Scale parameter: γ
ii) If σ > 0 is known, then the distribution of Y is in an exponential family with the parameters: Shape parameter: α and Scale parameter: σγ

(i) If σ > 0 is unknown, then the distribution of Y is in a location-scale family. This is because the distribution of Y can be expressed as a linear transformation of the distribution of X. Specifically, Y = σ log X = σ(log X - E[log X]) + E[log X], where E[log X] is the expected value of log X. This is the form of a location-scale family, with location parameter E[log X] and scale parameter σ.

(ii) If σ > 0 is known, then the distribution of Y is in an exponential family. This is because the distribution of Y can be expressed as an exponential family distribution with natural parameter -1/σ and sufficient statistic log X. Specifically, the probability density function of Y can be written as f_Y(y) = f_X(e^(y/σ)) * (1/σ) * e^(y/σ) = (1/σ) * e^(-(y-E[log X])/σ) * f_X(e^(E[log X]/σ)), where f_X is the probability density function of X. This is the form of an exponential family distribution, with natural parameter -1/σ and sufficient statistic log X.

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The equation that describe the number N bachelor's degrees awarded is N = 0.05t + 1.2 (a). The estimated number of bachelor's degrees to be awarded in 2023 is 1.85 million (b).

The practical sentence is "The number of bachelor's degrees awarded increases by 0.05 million, or 50,000, each year." (c). The graph, see the attachment.

(a) To find the equation describing the number N of bachelor's degrees awarded t years after 2010, we can use the formula for a linear equation: N = mt + b, where m is the slope and b is the y-intercept.

We can find the slope by using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. In this case, the two points are (2010, 1.2 million) and (2020, 1.7 million).

The y-intercept is the value of N when t = 0, which is the number of bachelor's degrees awarded in 2010, or 1.2 million. So the equation is:

(b) To estimate the number of bachelor's degrees to be awarded in 2023, we can plug in the value of t = 2023 - 2010 = 13 into the equation:

So the estimated number of bachelor's degrees to be awarded in 2023 is 1.85 million.

(c) A practical sentence expressing how the number of bachelor's degrees awarded changes yearly is: "The number of bachelor's degrees awarded increases by 0.05 million, or 50,000, each year."

(d) To graph the number of bachelor's degree line over the time period stated in (a), we can plot the two points (2010, 1.2) and (2020, 1.7) and draw a line through them.

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The total surface area of the hollow hemisphere is 1736.4 cm²

The total surface area of a large round bowl (hollow hemisphere) can be calculated by finding the surface area of the outer hemisphere and the surface area of the inner hemisphere and area of the ring and adding them together.

The formula for the surface area of a hemisphere is 2πr^2, where r is the radius of the hemisphere.

The outer radius of the bowl is 12 cm, so the surface area of the outer hemisphere is:

Surface area of outer hemisphere = 2π(12)^2 = 2π(144) = 288π

The inner radius of the bowl is the outer radius minus the thickness, which is 12 - 1 = 11 cm. So the surface area of the inner hemisphere is:

Surface area of inner hemisphere = 2π(11)^2 = 2π(121) = 242π

area of the concentric circle joining the outer surface and inner surface is π(12²-11²)= 23π

The total surface area of the bowl is the sum of the surface area of the outer hemisphere and the surface area of the inner hemisphere:

Total surface area = 288π + 242π + 23π = 553π

So the total surface area of the bowl is 530π cm^2.

then we can use the approximation π ≈ 3.14 to find the total surface area:

Total surface area ≈ 553*(3.14) ≈ 1736.4 cm^2

So the total surface area of the bowl is approximately 1736.4 cm^2.

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The solution for \( X \) is \( X = (A - D C)^{-1} D B \).

Assume \( A, B, C, D \), and \( X \) are \( n \times n \) matrices, and assume invertibility of matrices wherever needed. Then, the equation \( A X(B+C X)^{-1}=D \) can be solved for \( X \) by following these steps:

Step 1: Multiply both sides of the equation by \( (B+C X) \) to get rid of the inverse:
\( A X = D(B+C X) \)

Step 2: Distribute the \( D \) on the right side of the equation:
\( A X = D B + D C X \)

Step 3: Rearrange the equation to isolate \( X \) on one side:
\( A X - D C X = D B \)

Step 4: Factor out \( X \) on the left side of the equation:
\( (A - D C) X = D B \)

Step 5: Multiply both sides of the equation by the inverse of \( (A - D C) \) to solve for \( X \):
\( X = (A - D C)^{-1} D B \)

Therefore, the solution for \( X \) is \( X = (A - D C)^{-1} D B \).

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D and F are functions on an appropriate domain. A, C, and D are functions that take in a real number and output a real number, so they are valid functions on the domain of real numbers.

A domain is a set of names or IP addresses that are associated with a particular website or web server. It is what allows users to access a website's content using a web browser. Domains are typically purchased from a domain registrar and can be used to host websites, email accounts, and other services.

B and F are invalid functions because they take in a real number and output something that is not a real number.

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Answer:

The graph will be parallel with x-axis and intersects y at -8

Step-by-step explanation:

For the function y = -8, whatever the x is, y is always -8.

x         y

-10     8

-9      8

-3      8

-2      8

2       8

The graph will be parallel with x-axis and intersects y at -8

Answer:

140 square yards

Step-by-step explanation:

To calculate the area of the farmer's potato garden, we need to multiply the length by the width of the garden.

Area of the potato garden = Length x Width

Given that the length of the potato garden is 14 yards and the width is 10 yards, we can substitute the values into the formula and get:

Area of the potato garden = 14 yards x 10 yards

Area of the potato garden = 140 square yards

Therefore, the area of the farmer's potato garden is 140 square yards.

Answer:140[tex]yards^{2}[/tex]

Step-by-step explanation: to find the area you multiply two different lengths of the rectangle together to get 140

The properties of Rhombus are:

Explain about parallelogram ?

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other. The opposite angles are also equal in measure.

Properties of a parallelogram:

Opposite sides are parallel.

Opposite sides are equal in length.

Opposite angles are equal in measure.

Consecutive angles are supplementary, i.e. their sum is 180 degrees.

Diagonals bisect each other.


Given by the question:

A rhombus, also called a diamond, is a type of parallelogram in which all four sides are equal in length. A rhombus also has the following properties:

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The height of the cone is approximately 28.867 units and the radius is approximately 21.65 units.

Let's denote the height of the cone as "h" and the radius as "r".

From the problem statement, we know that:

r = (3/4)h ...(1) (given)

The surface area of the cone is given as 3750 square units. The formula for the surface area of a cone is:

Surface Area of Cone = πr(r + l),

where "l" is the slant height of the cone. Since the slant height is not given in the problem, we need to express "l" in terms of "r" and "h" using the Pythagorean theorem:

l² = r² + h²

l² = (3/4)² h² + h²

l² = (9/16)h² + h²

l² = (25/16)h²

l = (5/4)h

Substituting this expression for "l" and the expression for "r" from equation (1) into the surface area formula, we get:

3750 = πr(r + l)

3750 = π[(3/4)h] [(3/4)h + (5/4)h]

3750 = π (9/16 + 15/16) h²

3750 = π (24/16) h²

3750 = (3/2) π h²

h² = (2500/3π)

h ≈ 28.867

Substituting this value of "h" into equation (1), we get:

r = (3/4)h

r ≈ 21.65

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Answer: Radius 37.5    &      height 50

Step-by-step explanation: correct in edmuntum/plato

Answer:

To compare Arthur's long jump to the record, we need to convert both measurements to the same unit. Let's convert both measurements to inches:

Record: 22 ft 6 3/4 in = (22 x 12) + 6 + 3/4 = 270 + 6 + 0.75 = 276.75 in

Arthur's jump: 22 ft 5 1/2 in = (22 x 12) + 5 + 1/2 = 270 + 5 + 0.5 = 275.5 in

To determine how much farther Arthur needs to jump to break the record, we subtract Arthur's jump distance from the record distance:

Record distance - Arthur's jump distance = 276.75 in - 275.5 in = 1.25 in

However, we are told that long jumps are measured to the nearest quarter inch. Therefore, we need to round the difference to the nearest quarter inch. Since 1.25 inches is closer to 1.25 than it is to 1.5, we round down to the nearest quarter inch. This gives us:

1.25 in ≈ 1.25/4 = 0.3125 quarters ≈ 0.25 quarters

Therefore, Arthur needs to jump an additional 0.25 quarters (or 1/16 of an inch) to break the record.

Based on the ratio of red to white paint in making pink paint of 1:3, the total cost to Robert to buy enough paint to make 12 liters is $54.

The Ratio refers to the relative size of one quantity compared to another.

Ratios are expressed in standard ratio form using (:) with one value in relation to another.

Ratios can also be depicted in percentages, fractions, and decimals.

The Ratio of mixing red and white paint = 1:3

The sum of ratios = 4 (1 + 3)

To mix 12 liters of pink paint, the quantity of red paint = 3 liters (12 x 1/4)

To mxi 12 liters of pink paint, the quantity of white paint required = 9 liters (12 x 3/4)

Cost of red paint per 500ml = £5

The cost of 1 liter of red paint = £10 (£5 x 2)

The total cost of 3 liters of red paint = £30 (£10 x 3)

Cost of white paint per 3 liters = £8

The total cost of 9 liters of white paint = £24 (£8 x 9/3)

The total cost of 12 liters of pink paint mixture = £54 (£30 + £24)

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As a result, there is a 6% sales tax.

Percentages is a relative figure used to represent hundredths of a quantity. Because one percent (symbolised as 1%) represents one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage. Percentile is a related topic in mathematics.

The difference in sales tax is the price of the snowboarder with tax versus the price of the snowboarder without tax.

Sales tax therefore equals $848 - $800 = $48.

We need to multiply the result by 100 to get the sales percentage of tax, which we can then divide by the price of the snowboard before taxes.

Sales tax percentage = (Sales tax / Cost without tax) x 100

= ($48 / $800) x 100

= 0.06 x 100

= 6%

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The dataset's median, which has a value of 82 and a total of 11 values, is the sixth figure.

When a dataset is ordered from smallest to largest, the median, a measure of central tendency, shows the middle value of the dataset. It is frequently used as a more reliable substitute for the mean, which can be vulnerable to anomalies in the data with extremely high or low values. We must first sort the numbers in a dataset from smallest to largest before we can determine the median. The median is just the middle value when the dataset has an odd number of numbers. For instance, the median, or middle number, in the dataset "2, 5, 7, 10, 12" is 7.

given

Values that are noticeably higher or lower than the remainder of the dataset are found using the fences.

Step 1: Sort the information by size, starting from the smallest:

[tex]54, 72, 75, 81, 81, 82, 83, 83, 83, 85, 100[/tex]

Step 2: Calculate the middle

The dataset's median represents its middle number. The median is the sixth number in the dataset, which contains 11 values total:

Average: 82

Step 3: Determine the first and third quartiles (Q1 and Q3, respectively):

The medians for the dataset's lower and upper halves are Q1 for the lower part and Q3 for the upper. We don't use the median value to determine Q1 and Q3 because the dataset has an odd amount of values.

54, 72, 75, 81, 81 in the bottom half.

Top half: 83, 83, 83, 83, 85, and 100

Q1 = 75 for the bottom half's median.

Q3 = 83 for the top half's median.

The dataset's median, which has a value of 82 and a total of 11 values, is the sixth figure.

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Answer:

The lateral area of the prism is 190 square inches and the total surface area is 358 square inches.

Step-by-step explanation:

To find the lateral area and total surface area of a rectangular prism, we need to use the following formulas:

Lateral Area = perimeter of the base x height

Total Surface Area = 2 x base area + lateral area

Where the base area is simply the product of the length and width of the rectangular prism.

Let's apply these formulas to the rectangular prism with dimensions 12in x 7in x 5in:

Lateral Area:

To find the perimeter of the base, we add up the lengths of all four sides of the rectangle:

Perimeter of the base = 2(length + width) = 2(12in + 7in) = 2(19in) = 38in

Now, we multiply the perimeter of the base by the height of the prism:

Lateral Area = 38in x 5in = 190in^2

Therefore, the lateral area of the rectangular prism is 190 square inches.

Total Surface Area:

To find the base area, we simply multiply the length and width of the rectangular prism:

Base Area = length x width = 12in x 7in = 84in^2

Now, we can use the formula for total surface area:

Total Surface Area = 2 x base area + lateral area

Total Surface Area = 2(84in^2) + 190in^2

Total Surface Area = 168in^2 + 190in^2

Total Surface Area = 358in^2

Therefore, the total surface area of the rectangular prism is 358 square inches.

So the lateral area of the prism is 190 square inches and the total surface area is 358 square inches.

Answer:

a = 3, b = 9

Step-by-step explanation:

A scale factor is the number that you multiply each side of a shape to enlarge it. A scale factor of 3 means that each side of the new shape is three times the size of the original.

If the new shape is 3 times the size of the original, then we can take the side lengths (3 and 1) and multiply them by 3.

Therefore, the length of a is 3, whereas the length of b is 9.

When the quiz score is expected to be 98, the corresponding x-value, which represents the number of hours spent on homework, is approximately 5.125 hours.

What is the linear equation in two variables?

A linear equation in two variables is an equation of the form:

ax + by = c

where x and y are variables, a, b, and c are constants, and a and b are not both zero. The graph of a linear equation in two variables is a straight line, and any point on the line satisfies the equation.

The given equation is:

y = 8x + 57

where y is the quiz score and x is the hours spent on homework.

To find the meaning of the x-value when y = 98, we can substitute y = 98 into the equation and solve for x:

98 = 8x + 57

Subtracting 57 from both sides, we get:

41 = 8x

Dividing both sides by 8, we get:

x = 5.125

when the quiz score is expected to be 98, the corresponding x-value, which represents the number of hours spent on homework, is approximately 5.125 hours. This suggests that students who spend around 5 hours and 7.5 minutes on homework per week can expect to score around 98 on their weekly quiz.

Therefore, when the quiz score is expected to be 98, the corresponding x-value, which represents the number of hours spent on homework, is approximately 5.125 hours.

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Answer:

Step-by-step explanation:

where is the image don't see

Answer:

760 students

Step-by-step explanation:

divide 228 ÷ 30%

30% = 0.30

228 ÷ 0.30 = 760