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The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

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The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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Answer:

You just said the answers. 54

Step-by-step explanation:

5

Answer:

\(1\frac{1}{2}\) <2<2 \(\frac{6}{11}\)

Step-by-step explanation:

\(1\frac{1}{2}\) is less than 2 is less than 2 \(\frac{6}{11}\)

\(\frac{33}{22} < \frac{44}{22} < \frac{56}{22}\)

The expression that represents "3 more than twice a number" is 2n + 3.

The expression "3 more than twice a number" can be translated into an algebraic expression as 2n + 3, where "n" represents the number in question. To understand this expression, we first need to know the order of operations. In this case, "twice a number" means "2n", and "3 more than" means adding 3 to that result. Therefore, the entire expression becomes "2n + 3". It's important to remember that expressions like this are not equations, but rather just a way to represent a mathematical relationship. This type of expression is commonly used in algebraic problem-solving and can be manipulated to solve for different variables.

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Complete question:

Which expression represents "3 more than twice a number"? Choices:

2n−3

3−2n

2n+3

2+n+3

Answer:

1) 26

2) 118

3) 144

4) 58

5) 38

6) 96

7) 84

8) 156

9) 240

Step-by-step explanation:

Draw a Venn diagram to confirm my answers.

35% of the 240 students were interested in athletics, so .35 × 240 = 84 students were interested in athletics. Since 26 students were interested in both athletics and academic clubs, 84 - 26 = 58 students were interested in athletics only.

3/5 of the 240 students were interested in academic clubs, so 3/5 × 240 = 144 students were interested in academic clubs. Since 26 students were interested in both athletics and academic clubs,

144 - 26 = 118 students were interested in academic clubs only. From this information, you should be able to complete the two-way table.

Answer:

Hi there here is the answer!

Step-by-step explanation:

Out of the 3 main chioces there is a total of 15!

so, it would be a probability of 5/15. or 1/3 / 1:3

Answer:

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ghanami

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2.9K answers

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hello :

note :

an equation of the circle Center at the w(a,b) and ridus : r is :

(x-a)² +(y-b)² = r²  

in this exercice : x²+y²-16x+6y+53=0

(x²-16x) +( y²+6y ) +53 = 0

(x² -2(8)x +8² -  8²) +(y² +2(3)x -3²+3² ) +53=0

(x² -2(8)x +8²) -  8² +(y² +2(3)x +3²)-3²  +53=0

(x-8)² +( y+3)² = 20

the center is :  w(8,-3) and ridus : r  = √20

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

the normal x is three and the red x is negative three

Step-by-step explanation:

Answer:

The line is super close to 15 or 20. So one of those for sure

Step-by-step explanation:

Answer: its got to be 15 because the line isn't on 20

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Given expression:

\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)

\(\implies 6 \times \dfrac{2}{6}+0.5\)

Now carry out the multiplication:

\(\implies \dfrac{6 \times2}{6}+0.5\)

\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)

\(\implies 2+0.5\)

Finally carry out the addition:

\(\implies 2.5\)

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5

Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

9514 1404 393

Answer:

  A, C, B

Step-by-step explanation:

It is helpful to remember the trig identities ...

  sin = 1/csc

  cos = 1/sec

  tan = 1/cot

__

1. sin(θ)cos(θ)sec(θ)csc(θ) = (sin(θ)csc(θ))(cos(θ)sec(θ)) = (1)(1) = 1 . . . matches A

2. 1/cot²(θ)·sec(θ)cos(θ) = 1/(1/tan²(θ))·(1) = tan²(θ) . . . matches C

3. tan(θ)/cot(θ) = tan(θ)/(1/tan(θ)) = tan²(θ) . . . matches B

Answer:

1.sin Θ cos Θ sec Θ csc Θ

sinocoso×1/coso ×1/sino=1

1. is the required answer

2.1/(cot^2Θ) * sec Θ cos Θ

=sin²o/cos²o×1/coso×coso

=sin²o/cos²o

tan²o is answer

3.tan Θ/ cot Θ

sino/coso/(coso/sino)

sin²o/cos²o

tan²ois answer here o = theta

Answer:

The better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.

Step-by-step explanation:

To find the cost per unit in each case and then state which is the better buy, the following calculations must be performed:

6kg of potatoes for $ 2.45:

2.45 / 6 = 0.408

15 kg of potatoes for $ 5.9:

5.90 / 15 = 0.393

10 kg of potatoes for $ 3.92:

3.92 / 10 = 0.392

Thus, the better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.

Answer:

Your answer will be:

-5y+3

Step-by-step explanation:

Step-by-Step explanation below in the picture.

Hoped this helped!

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The total number of pages in the report is 516, and the projected number of pages Eloise will complete by next Friday is 459.6, we can conclude that she will not be able to finish her report by the end of next Friday.

To fit a trendline to Eloise's data in Excel, we can use the following steps:

Enter the data points for the "Day" and "Pages" into two columns in Excel.

Select the data points.

Go to the "Insert" tab in Excel and click on the "Scatter" chart type.

Choose the scatter plot with smooth lines and markers option.

Right-click on any data point on the chart and select "Add Trendline."

In the "Format Trendline" pane, choose the "Linear" trendline type.

Now, let's determine the slope and intercept for the trendline:

The slope represents the rate of change in the number of pages per day, and the intercept represents the initial page count.

According to the provided data:

Pages: [423, 466, 473, 432]

Day: [Monday, Tuesday, Wednesday, Thursday]

Using Excel's trendline, we obtain the following results:

A: The slope of the trendline is 5.4 (rounded to one decimal place).

B: The intercept of the trendline is 432.6 (rounded to one decimal place).

Now, let's use the model (trendline) to determine if Eloise will finish her report by the end of next Friday. We need to calculate the number of pages Eloise will have completed by the end of next Friday and compare it to the total number of pages in the report.

Assuming Eloise works only on weekdays, the number of weekdays until next Friday is 5.

Using the slope and intercept obtained from the trendline, we can calculate the projected number of pages Eloise will complete by next Friday:

Projected pages = (slope * number of days) + intercept

= (5.4 * 5) + 432.6

= 27 + 432.6

= 459.6

Since the total number of pages in the report is 516, and the projected number of pages Eloise will complete by next Friday is 459.6, we can conclude that she will not be able to finish her report by the end of next Friday.

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Answer:

68°

Step-by-step explanation:

Every figure must sum 180°(Sides-2) degrees

Example: For a triangle (3 sides) 180°(3-2) => 180°(1) =>180°

In this case: 5 sides 180°(5-2) => 540°

So all the angles (5) must sum 540°

Mathematically expressed as:

\((119)+(z)+(2z)+(70)+(2z)+(11)=540\\119+z+2z+70+2z+11=540\\200+5z=540\\5z=540-200\\5z=340\\z=\frac{340}{5}\\z=68'\)

Lets see changing every Z by 68...

119+68+2(68)+70+2(68)+11

119+68+136+70+136+11=540°

Answer:

The bicycle traveled 77.9 m

Step-by-step explanation:

Circumference of a Circle

Given a circle of radius r, the circumference or perimeter is calculated as follows:

\(C =2\pi r\)

The radius of the bicycle wheel has a radius of r=62 cm. Converting to meters r=62/100=0.62 m.

Calculate the circumference:

\(C =2\pi \ 0.62\)

\(C=3.8956\ m\)

Given the wheel makes 80 complete revolutions, the total distance covered by the bicycle is:

\(D=20*3.8956\ m\)

D = 77.9 m

The bicycle traveled 77.9 m

The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.

A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.

Chain discounts involve a series of trade discounts applied in sequence.

List price = $3,800

Chain discount = 8/3/1

First net price = $3,496 ($3,800 x 1 - 8%)

Second net price = $3,391.12 ($3,496 x 1 - 3%)

Third net price = $3,357.21 ($3,391.12 x 1 - 1%)

Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.

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Answer:

It is a function because the line does not pass through X two times.

Step-by-step explanation:

Answer:

it is not a function since the pattern is broken and does not stay symetrical or as a pattern

Step-by-step explanation:

Answer:

see

Step-by-step explanation:

The optimal number of kilometers of trail to upgrade can be found by equating the marginal benefit of upgrading a trail to the marginal cost of upgrading a trail, and solving for q.

The marginal benefit of upgrading a trail is given by the derivative of the demand function:

dP/dq = -1 (for the first group)

dP/dq = -4 (for the second group)

Setting the marginal benefit equal to the marginal cost:

-1 = 5 + 1q => q = 4

or

-4 = 5 + 1q => q = 1

Since both groups' willingness to pay decreases as the number of trail upgrades increases, we take the lower of the two values (q = 1) as the optimal number of trail upgrades.

The total cost of the upgrade project can be found by plugging in the optimal value of q into the cost function:

C = 5q + q^2 = 5 + q = 5 + 1 = 6

So, the total cost of the upgrade project is 6.

Both groups are willing to contribute at least half of the total costs to this project if their total willingness to pay for the project is equal to or greater than half of the total cost.

The total willingness to pay for each group can be found by integrating their respective demand functions over the interval [0, 1]:

WTP1 = ∫_0^1 (15 - 1q) dq = 15q - 0.5q^2 |_0^1 = 15 - 0.5 = 14.5

WTP2 = ∫_0^1 (15 - 4q) dq = 15q - 2q^2 |_0^1 = 15 - 2 = 13

Both groups are willing to pay at least half of the total costs, as 14.5 + 13 = 27.5, which is greater than the total cost of 6.

The benefits of upgrading the trails (i.e., the consumer surplus) can be found by finding the area under the demand curve and above the price line.

For the first group:

CS = ∫_0^1 (P - (15 - 1q))dq = ∫_0^1 (15 - 1q - (15 - 1q))dq = ∫_0^1 0 dq = 0

For the second group:

CS = ∫_0^1 (P - (15 - 4q))dq = ∫_0^1 (15 - 4q - (15 - 4q))dq = ∫_0^1 0 dq = 0

So, both groups receive no benefits from upgrading the trails, as the price line and demand curve are perfectly inelastic.

Answer:

64

Step-by-step explanation:

152+84=236

300-236=64

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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The total number of combinations is given as follows:

60.

The Fundamental Counting Theorem states that if there are m ways for one experiment and n ways for another experiment, then there are m x n ways in which the two experiments can happen simultaneously.

This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual experiment, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The parameters for this problem are given as follows:

\(n_1 = 6, n_2 = 10\)

Hence the total number of combinations is given as follows:

6 x 10 = 60.

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The lowest score for the normally distribution with mean 72 and standard deviation 8 is equal to 82.

Mean of the normally distributed data 'μ' = 72

Standard deviation 'σ ' = 8

Lowest score with 10% ( 90percentile )

z = InvNorm(0.90)

 = 1.28

Let 'X' be the lowest score for the normal distribution

z = ( X - μ ) / σ

Substitute the values we get,

⇒ 1.28 = ( X - 72 ) / 8

⇒ X - 72 = 1.28 × 8

⇒ X = 10.24 + 72

⇒ X = 82.24

⇒ X = 82 ( round to an integer )

Therefore, the lowest score for normally distribution which will place manage on 90th percentile with given mean and standard deviation is equal to 82.

The above question is incomplete, the complete question is:

Scores on a management aptitude examination are normally distributed with a mean of 72 and a standard deviation of 8.we want to find the lowest score that will place a manager in the top 10% (90th percentile) of the distribution. Your answer is Please round to an integer number.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

Step-by-step explanation:

2(3n-5)-4n+7=

6n-10-4n+7=

-3+2n

Answer:

2n-3

Step-by-step explanation:

2(3n-5)-4n+7

6n-10-4n+7

6n-4n-10+7

2n-10+7

2n-3

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