Simplify.

8200‾‾‾‾√−3162‾‾‾‾√

Answer:

$125.97

Step-by-step explanation:

They have given you everything you need.

p = 100

r = 0.08

t = 3

B = final amount

B = 100(1 + 0.08)^3

B = 125.9712

since you're dealing with money you have to round to the nearest cent

B = $125.97

Please brainlist if I helped

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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The population after 1, 2, and 3 years are 2800, 3920, and 5488.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

y = 2000 x \((1.4)^x\)

Now,

For x = 1,

y = 2000 x 1.4

y = 2800

For x = 1,

y = 2000 x 1.4²

y = 3920

For x = 1,

y = 2000 x

y = 2000 x 1.4³

y = 5488

Thus,

After 1, 2, and 3 years the populations are 2800, 3920, and 5488.

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Answer:

-8

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

\(\frac{3}{4}x+10=4\)

\(\frac{3}{4} x-10\) \(-10\)        Subtract 10 from both sides

\(\frac{3}{4}x=\)       \(-6\)        

\(\frac{3}{4}(-8)\)  \(=-6\)        Substitute x for \((-8)\) then Multiply \((-8)\) by \(\frac{3}{4}\)

\(-\frac{24}{4}\)     \(=-6\)        Simplify \(-\frac{24}{4}\)

     \(-6=-6\)      

Answer:

Walmart has the better price per can

Step-by-step explanation:

Walmart:

6.88/21 = $0.328 per can

Kroger:

4.15/12 = $0.346 per can

The points in which relative minimums occur for the function are:

b. Point B.

e. Point E.

A relative minimum in a function f(x) is a value of x at which the function changes from decreasing to increasing.

For this problem, these values are:

b. Point B.

e. Point E.

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Step-by-step explanation:

5 7 7 8 and those are the answers i thinl

Answer:

3rd bc its correct

Step-by-step explanation:

Answer:

41.8

Step-by-step explanation:

Use the sine formula: sin(x)=6/8 which equals roughly to 41.81

Answer:

Ok, sure.

Step-by-step explanation:

Total number: 5 yellow + 3 orange + 1 red = 9 balls.

To calculate the probability, we need to determine the favorable outcomes, which is the number of ways we can choose one orange ball and one red ball.

Number of ways to choose one orange ball: 3

Number of ways to choose one red ball: 1

Since we need to choose one orange ball and one red ball, the number of favorable outcomes is the product of these two:

Number of favorable outcomes = 3 * 1 = 3

Now, let's calculate the total number of possible outcomes. We will choose 2 balls out of the 9 available in the box.

Number of ways to choose 2 balls out of 9 = 9C2 = (9 * 8) / (2 * 1) = 36

Therefore, the total number of possible outcomes is 36.

Finally, we can calculate the probability:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 3 / 36

Probability = 1 / 12

So, the probability that one ball is orange and the other is red is 1/12.

Answer:

\(\frac{1}{12}\) or 0.0833

Step-by-step explanation:

This  problem can be solved using the formula:

P(A∩B)=P(A)×P(B∣A)

where P(A∩B) is the probability of both events happening, P(A) is the probability of the first event happening, and P(B∣A) is the probability of the second event happening given that the first event has happened.

In this case, we want to find the probability that one ball is orange and the other is red. There are two possible ways this can happen: either we draw an orange ball first and then a red ball, or we draw a red ball first and then an orange ball. We can use the formula to calculate the probability of each scenario and then add them up.

The probability of drawing an orange ball first is P(O)=3/9​, since there are 3 orange balls out of 9 total balls. The probability of drawing a red ball second given that we have drawn an orange ball first is P(R∣O)=1/8​ since there is 1 red ball out of 8 remaining balls. Therefore, the probability of drawing an orange ball first and then a red ball second is:

P(O∩R)=P(O)×P(R∣O)= 93/9 × 1/8 ​= 1/24​

Similarly, the probability of drawing a red ball first is P(R)=1/9​, since there is 1 red ball out of 9 total balls. The probability of drawing an orange ball second given that we have drawn a red ball first is P(O∣R)=3/8​, since there are 3 orange balls out of 8 remaining balls. Therefore, the probability of drawing a red ball first and then an orange ball second is:

P(R∩O)=P(R)×P(O∣R)= 1/9 × 3/8 ​=  1/24​

Finally, we can add up the probabilities of both scenarios to get the answer:

P(O,R)=P(O∩R)+P(R∩O)= 1/24 + 1/24​ = 2/24 ​= 1/12

Therefore, the probability that one ball is orange and the other is red is 1/12​ or about 0.0833.

Answer:

21/50

Step-by-step explanation:

0.42 = 42/100

42/100 = 21/50

Hope this helps!

Based on these results, the probability of the next flip resulting in a head is still 0.5.

The probability of getting a head on the next flip of a fair coin does not depend on the previous outcomes. Each coin flip is an independent event, and the probability of getting a head or a tail remains the same for each flip.

Since the coin is fair, the probability of getting a head on any given flip is 0.5, and the probability of getting a tail is also 0.5.

Therefore, based on these results, the probability of the next flip resulting in a head is still 0.5.

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The value of the camera after one year is 267 dollars, which is 67% of its original value.

The value of the camera after one year can be expressed by the equation V₁ = V₀ - 0.33V₀, where V₀ is the original value and V₁ is the new value. In this example, V₀ = 400 and 0.33V₀ = 0.33(400) = 133. Thus, the value of the camera after one year is V₁ = 400 - 133 = 267 dollars.

In other words, the camera has depreciated by 33% of its original value in one year, so the new value is 67% of the original value. This means that the camera's value has decreased from 400 dollars to 267 dollars in one year.

The value of the camera after one year is 267 dollars, which is 67% of its original value.

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Answer:

141

Step-by-step explanation:

Answer: The slope is 5.

Step-by-step explanation: Use formula: (y2-y1)/(x2-x1)

(7-2)/(4-3)

5/1 = 5

Have a nice day! :)

The conversion 336g to m³ is impossible because they measure different units

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

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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Answer:

1.) y3

Step-by-step explanation:

Sure hope this helps you

The equation that can be used to determine the radius of the can isr = √(v/πh)

For example, Y is the subject of the following equations. Y = x + 1, Y = 4 + 2x, Y = 2(2x – 3). In the relation v=u + at, v is said to be the subject. When a formula is rearranged so that a different letter becomes the subject, this process is referred to as changing the subject of the relation.

Similar making r the subject in V= π r^2 h

divide both sides by πh

V/πh = r²

r² = V/πh

r = √(V/πh)

therefore the radius of the can be obtained from

r = √(V/πh)

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If firm issues​ commercial paper with $1000000 face-value and pays EAR of​ 7.4%, then amount the firm will receive is $981500.

To calculate the amount the firm receives from issuing the three-month commercial paper, we need to determine the total interest earned over the three-month period.

The Effective Annual Rate (EAR) of 7.4% indicates the annualized interest rate. Since the commercial paper has 3-month term, we adjust the EAR to account for the shorter period.

To find the quarterly interest rate, we divide the EAR by the number of compounding periods in a year. In this case, since it is a 3-month period, there are 4-compounding periods in a year (quarterly compounding).

Quarterly interest rate = (EAR)/(number of compounding periods)

= 7.4%/4

= 1.85%,

Now, we calculate interest earned on "face-value" of $1,000,000 over 3-months,

Interest earned = (face value) × (quarterly interest rate)

= $1,000,000 × 1.85% = $18,500,

So, amount firm receives from issuing 3-month commercial paper is the face value minus the interest earned:

Amount received = (face value) - (interest earned)

= $1,000,000 - $18,500

= $981,500.

Therefore, the amount that firms receives is $981500.

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0.05093 is the probability that exactly 13 students will take up application development in the coming year .

Describe probability using an example?

Average rate (number) of students who chose to study Application Development (λ)= 18

Poisson random variable(number of students taking up Application Development in the coming year)(x)=13

Poisson distribution = P(X = x) = e^−λ (λ)^x/ x!

Here, probability of 13 students choosing application development next year= P(X=13)

               =   ^(−18 ) 18^13/  13!

P(X=13) = 0.0509286= 0.05093

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The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

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Answer:

10,2,5

Step-by-step explanation:

Answer: F=44 and D=136

Step-by-step explanation:

If the two angles form a straight line, they are supplementary angles, so they sum 180 degrees. This is:

D + F = 180

\(7Y - 18 + 2Y=180\\9Y = 198\\Y=22\\\\D = 7(22)-18\\D=136\\\\F=2(22)\\F=44\)

Answer:

The cliffs are home to many seabirds. Despite its name, there are few puffins (around 50 pairs during the April-July breeding season).

Step-by-step explanation:

The value of x for the given triangle is 4.5

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of all three angles of a triangle is always 180°

In the given triangle ABC,

∠A=(9x+16)°, ∠B=(6x+15)°

And the extrior angle ∠C=(19x+3)°

Use the external angle property,

The sum of two interior angles is equal to an exterior angle.

Therefor,

∠C=∠A+∠B

(19x+3)°=(9x+16)°+(6x+5)°

19x+3=15x+21

4x=18

x=4.5

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These methods rely on having a sample from the population and using statistical formulas to estimate population parameters.

To find interval estimates for single values and the mean value of y corresponding to x = 5 at a 97.1% significance level, we need more information about the data set. The problem description doesn't provide any specific details or the actual data.

In general, to calculate interval estimates, we would typically use statistical techniques such as confidence intervals or hypothesis testing. These methods rely on having a sample from the population and using statistical formulas to estimate population parameters.

Since we don't have the data set or any specific information, it is not possible to provide accurate interval estimates or perform any calculations. To obtain interval estimates, we would need access to the data set and additional details such as sample size, mean, and standard deviation.

If you have the specific data set and additional information, please provide it, and I will be able to assist you in calculating the interval estimates.

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Problem 8. (1 point)

For the data set

(-1, -2), (1,0), (6, 4), (7, 8), (11, 12),

find interval estimates (at a 97.1% significance level) for single values and for the mean value of y corresponding to x = 5.

Note: For each part below, your answer should use interva l notation. Interval Estimate for Single Value =

Interval Estimate for Mean Value =

Note: In order to get credit for this problem all answers must be correct.