The surface area of this cone is 314 square centimeters. What is the slant height of this
cone?
Use pi ≈ 3.14 and round your answer to the nearest hundredth.
radius= 5 cm

The prοbabiIity οf the spinner stοpping at green and a yeIIοw card being seIected is 1/18.

PrοbabiIity is a measure οf the IikeIihοοd οf an event οccurring, expressed as a number between 0 and 1. It is caIcuIated as the number οf favοrabIe οutcοmes divided by the tοtaI number οf pοssibIe οutcοmes.

The prοbabiIity οf the spinner stοpping at green is 1/3 since there are three equaI parts.

The prοbabiIity οf seIecting a yeIIοw card frοm the six cards is 1/6 since there is οne yeIIοw card οut οf six cards in tοtaI.

Tο find the prοbabiIity οf bοth events happening, we muItipIy the individuaI prοbabiIities:

P(green and yeIIοw) = P(green) * P(yeIIοw)

= (1/3) * (1/6)

= 1/18

Therefοre, the prοbabiIity οf the spinner stοpping at green and a yeIIοw card being seIected is 1/18.

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Answer:

9

Step-by-step explanation:

\(3 \frac{3}{4} + 5 \frac{1}{4} = 8 \frac{4}{4} = 9\)

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      [refer to attachment for question]

\(\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

In order to find out how many miles Peter rode overall, we need to add the number of miles he rode on Monday + the number of miles he rode on Tuesday:-

Since the denominators match, we can just add the numerators and the whole parts:-

\(\bigstar\) Which results in

\(\boxed{\bold{9\:Miles}}\)

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t=-1, v=2, w=3. Applying the order of operations, we first do the addition and subtraction from left to right, resulting in -1 + 2 - 3 = -2.

Operations is an area of business which focuses on the effective and efficient production of goods and services. It is concerned with managing the process of converting inputs (e.g. labor, raw materials, energy, and capital) into outputs (e.g. solutions, goods, and services). Operations employs a variety of strategies, tools, and techniques to maximize efficiency and productivity. These may include process design, facilities planning, inventory control, quality assurance, scheduling, supply chain management, and process improvement. Operations management is a critical component of successful businesses, as it is responsible for creating, delivering, and sustaining products and services.

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The value for x is 7π/6 and 11π/6.

sin2xsecx+2cosx=0

(2sinxcosx)(1/cosx)+2cosx=0

sinxcosx/cosx+2cosx=0

So,

2sinx+2cosx=0

2(sinx+cosx)=0

(2(sinx+cosx))²=0

4(sin²x+cos²x+2sinxcosx)=0

hence,

(sin²x+cos²x+2sinxcosx)/4=0/4

sin2x+cos2x+2sinxcosx=0

1+sin2x=0

sinx=−1/2

=7π/6 and 11π/6

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To meet your requirements for a 7-day supply, you should combine 11 servings of Designer Whey and 2 servings of Muscle Milk.

Let x be the number of Designer Whey servings and y be the number of Muscle Milk servings.
Use the protein requirements to set up an equation:
18x + 32y = 262 (Designer Whey has 18g of protein per serving, and Muscle Milk has 32g per serving)
Use the carbohydrate requirements to set up a second equation:
2x + 16y = 54 (Designer Whey has 2g of carbohydrates per serving, and Muscle Milk has 16g per serving)
Now you have a system of two linear equations:
18x + 32y = 262
2x + 16y = 54
To solve this system, first simplify the second equation by dividing by 2:
x + 8y = 27
Rearrange the simplified equation to isolate x:
x = 27 - 8y
Substitute the expression for x from step 4 into the first equation:
18(27 - 8y) + 32y = 262
Distribute the 18 and simplify the equation:
486 - 144y + 32y = 262
Combine like terms and solve for y:
-112y = -224
y = 2
Substitute the value of y back into the expression for x from step 4:
x = 27 - 8(2)
x = 27 - 16
x = 11

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While the study found an association between diet soda and weight gain, it does not necessarily mean that it causes weight gain. There could be other explanations for this association.

One possible explanation is that people who are already overweight or at risk of gaining weight are more likely to consume diet soda to control their calorie intake. These individuals may also be more likely to engage in other behaviors contributing to weight gain, such as consuming high-calorie foods and engaging in a sedentary lifestyle.

Another explanation is that the artificial sweeteners used in diet soda may interfere with the body's natural ability to regulate calorie intake, leading to increased cravings for high-calorie foods and, ultimately, weight gain. However, more research is needed to understand the impact of artificial sweeteners on weight gain fully.

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The sum of triangle angles = 180

180 = 90 + 2x +15 + x

75 = 3x

x = 25

Answer:

→x=25°

Step-by-step explanation:

→2x+15+x+90°=180°[Sum of a triangle is 180]

→3x+105°=180°

→3x=180°-105°

→x=75°/3

→x=25°

Hope it will help you.

Answer:

-1 and 3 should be right

Answer:

3

Step-by-step explanation:

Whole numbers are non-negative integers

A whole number can be 0 or positive with decimal/fraction part

The total number of occasions the dice would land on 1 or 3 is 98.

The probability space associated with a randomly chosen experiment is established by three components: the result space, whose element is an experiment outcome, a collection of events F whose elements represent subsets of, and a probability measure IP assigned towards the elements in F.

As a result, for problems like Cards, Coins, and Dices, it is preferable to record the potential scenarios and determine the individual probabilities of each case before ORing/ANDing them in accordance with the problem demand. If done correctly, this will provide a great solution that will never fail you.

All of the probability will add upto 1.

this give us the equation:

P(1)+0.17 + 0.18 + 0.09 + 0.15 + 0.1 = 1

P(1) + 0.69 = 1

P(1) = 1 - 0.69

   P(1)  = 0.31

We now need to find the probability of 1 or 3

P(1 or 3) = P(1) + P(3)

             = 0.31 + 0.18

             = 0.49

We now use the predicting outcomes formula.

expected = P(1 or 3) x no. of times.

                = 0.49 x 200

                = 98

the total number of times the dice will land on 1 or on 3 = 98.

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Answer:

1) 10

2) 9

Step-by-step explanation:

50+35=5(10+7) because 5*10=50 and 5*7= 35

9+39=3(3+13) because 3*3=9 and 3*13=39

Answer:

picture?

Step-by-step explanation:

Based on the t-test assuming equal variances a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal."

It is vital to establish whether or not the variances of the two groups being compared are indeed identical before performing a t-test under the assumption of equal variances. This is significant since the t-calculation statistic depends on the assumption that variances are equal.

One can look at the ratio of the variances between the two groups to evaluate the assumption of equal variances. Typically, it is acceptable to infer that the variances are not equal if the ratio of the variances is more than two or lower than half. One can presume that the variances are equal in the absence of such proof. Since the variances are not equal, it is not logical to infer that they are.

Complete and correct Question:

Based on the t-test assuming equal variances on the T-Test Equal worksheet, is it reasonable to assume that the variances are equal?
a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal.
b. Whether the variances are equal or not is not relevant for this situation.
c. Examining the ratio of the variances, it is reasonable to conclude that the variances are equal.
d. It is impossible to determine if the variances are equal given the data we have.

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Answer:

I love Math anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Three dozen of these apples cost if Annalisa bought is equivalent to $23.40.

Given that:

Annalisa bought two dozen apples for $15.60.

Therefore, the value of one dozen apples will be calculated by dividing both values by 2.

i.e. We can say that,

Annalisa bought one dozen apples for $15.60/2 = $7.80.

So, we have to find out the value of three dozen of these apples.

Hence, we multiply both the 3 to get the cost of three dozen of apples.

Multiplying we get,

Annalisa if bought three dozen apple costs = $7.80 x 3 = $23.40.

We also know that, one dozen = 12 apples

So, three dozen = 36 apples

Therefore, we can say the cost of one apple = 23.40/36 = $0.65

Hence, it costs $23.40 for three dozen apples to Annalisa.

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Answer:

2.5 gramms = 2.500,000 Milligram (mg)

Step-by-step explanation:

multiply the mass value by 1000

Answer:

The answer would be C. -4.

Step-by-step explanation:

x^2=64

x=8

2(8)-20=-4

X²=64 ----- 1️⃣

2x-20 ----- 2️⃣

By equation 1️⃣ we have:

\( \sf {x}^{2} = 64 \\ \sf \: x = \sqrt{64} \\ \sf \: x = 8\)

Substitute this value into equation 2️⃣:

\( \sf \: 2x - 20 \\ \sf \: 2 \times 8 - 20 \\ \sf \: 16 - 20 \\ \boxed{ \tt \: - 4}\)

Principle of mathematical induction, the statement holds for all integers n ≥ 1 .we have proved that bn = 2n + 1 for each integer n ≥ 1.

Base case

Let's first check if the statement holds for the base case n = 1.

When n = 1, we have b1 = 3. And indeed, 2^1 + 1 = 3. So, the statement holds for the base case.

Inductive step

Assume that the statement holds for some integer k, i.e., assume that bk = 2k + 1.

Now, let's prove that the statement holds for k + 1, i.e., we need to show that b(k+1) = 2(k+1) + 1.

Using the given recursive definition of the sequence, we have:

b(k+1) = 3b(k) - 3b(k-1) - 25(k+1-2)

= 3(2k + 1) - 3(2(k-1) + 1) - 25k

= 6k + 3 - 6k + 3 - 25k

= -19k + 6

= 2(k+1) + 1

So, the statement holds for k + 1.

By the principle of mathematical induction, the statement holds for all integers n ≥ 1.

Therefore, we have proved that bn = 2n + 1 for each integer n ≥ 1.

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Answer:

This is my guess...

"Even today, the need for work is a common reason people move to urban areas."

Step-by-step explanation:

The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.

Answer:

Step-by-step explanation:Hly/3fcEdSxere's li\(^{}\)nk to the answer:

bit.\(^{}\)

Answer:

a 2 and 3 step by step exolaniation

The number of miles in 4 weeks is 20 mules

From the question, we have the following parameters that can be used in our computation:

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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Marlene will have to pay a Total of $131.89 if there is a 9% government tax on bills.

Marlene had a meal at KFC which cost her $110, and there was an additional 10% service charge. We have to determine the total cost of her meal, including the 9% government tax on bills. To find out the total cost of the meal, we'll use the following steps:

Step 1: Calculate the service charge service Charge = 10% of $110Service Charge = (10/100) × $110Service Charge = $11

Step 2: Calculate the subtotal Subtotal = Cost of meal + Service charge Subtotal = $110 + $11Subtotal = $121

Step 3: Calculate the government tax Government Tax = 9% of Subtotal Government Tax = (9/100) × $121Government Tax = $10.89

Step 4: Calculate the total cost Total Cost = Subtotal + Government Tax Total Cost = $121 + $10.89Total Cost = $131.89

Therefore, Marlene will have to pay a total of $131.89 if there is a 9% government tax on bills.

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The kind of sample that is described is a random sample. A random sample is a type of probability sampling method where every member of the population has an equal chance of being selected for the sample.

In this case, the news reporter selected a random sample of kids and a random sample of adults at the family amusement park, which means that every kid and every adult had an equal chance of being selected to participate in the survey. Random sampling is important because it ensures that the sample is representative of the population, which allows for more accurate and generalizable conclusions to be drawn from the results.

By selecting a random sample, the news reporter can report on the experiences of a diverse group of individuals at the amusement park.

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Answer:

(-3,5) (6,2) (Plug in these points into (y2-y1)/(x2-x1) to find the slope)

2-5/6-(-3)

-3/9

-1/3 is the slope

y - y1 = m(x -x1) (this is point slope form)

y - 5 = -1/3 (x +3) (you plug in the x &y values from the first set of coordinates)

y -5 = -1/3x -1  (you get to slope intercept form by solving from point slope)

y = -1/3x +4 (this is slope intercept form)

Step-by-step explanation:

The expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle whose side lengths measures are (2x+2) ft, (x+3) ft, and n ft.

If we take the first two sides are (2x+2) ft, (x+3) ft, and third is n ft.

By the triangle property, that sum of the two sides is always greater than the third side.

2x+2+x+3 > n

3x+5 > n  .....(1)

Now take first two sides as n ft, (x+3) ft, and third side (2x+2) ft

n+x+3 > 2x+2

n > x-1 .....(2)

From the inequality (1) and (2), we get:

x – 1 < n < 3x + 5

Thus, the expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

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Answer: We can factor the expression x^2 + 7x - 44 to find the possible dimensions of the rectangle:

x^2 + 7x - 44 = (x + 11)(x - 4)

Therefore, the dimensions of the rectangle in terms of x could be:

Length: x + 11

Width: x - 4

Note that both dimensions must be positive, so x > 4.

Step-by-step explanation:

Answer:

2

-3

same thing

Step-by-step explanation:

Instead of developing the geometry, some examples of creating the workpart geometry during machining include:

Contour turning:

Profile milling:

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