The following represents a Geometric Sequence, if f(2) = 3 and f(3) = 12, find f(5).​

Answer:

y = 2x + 5

Step-by-step explanation:

Slope intercept form is y = mx + b

m = slope

b = y - intercept

Substitute and you get: y = 2x + 5

Answer:

151.7 cm^3

Step-by-step explanation:

3.7 x 10 x 4.1 = 151.7

BRAINLIEST? TY!!

Answer:

151.7 cm^3

Step-by-step explanation:

If you didn't know already the volume of a rectangular prism is

length x witdh x height.

Multiply 10x4.1 and you will get 41

Then multiply 41 by 3.7 to get 151.7.

Answer:

B

Step-by-step explanation:

it's just option B because it is only root

Answer:

the answer would be B. (2.5, -0.5)

plug the possibilities in and solve. just because it works for one, it doesn't mean that it will work for both.

3 (2.5) - (-0.5) = 7.5 + 0.5 = 8

(2.5) + (-0.5) = 2.5 - 0.5 = 2

i hope i helped. :)

Step-by-step explanation:

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Answer:

hurt himself if he is 5 pieces away from jail in monopoly and this is his 9th time

Step-by-step explanation:

2(3x - 5) = 4x + 5

6x - 10 = 4x + 5

6x - 4x = 5 + 10

2x = 15 / : 2

x = 7,5 ← the end

Answer:

\(x = \frac{15}{2} \)

Step-by-step explanation:

\(2(3x - 5) = 4x + 5\)

\(6x - 10 = 4x + 5\)

\(6x - 10 - 4x = 5\)

\(6x - 4x = 5 + 10\)

\(2x = 5 + 10\)

\(2x = 15\)

\(x = \frac{15}{2} \)

Martiza is currently 16 years old. This can be answered by the concept of Linear equations.

Let's start by assigning variables to represent Martiza's and Jose's current ages. Let M be Martiza's current age, and let J be Jose's current age.

From the problem, we know that Martiza is 8 years older than Jose, so we can write:

M = J + 8 (equation 1)

We also know that in four years, Jose's age (J + 4) will be half as much as Martiza's age (M + 4) at that time. This can be written as:

J + 4 = (M + 4)/2 (equation 2)

Now we have two equations and two unknowns. We can solve for one of the variables and then use that value to find the other variable.

First, let's solve equation 2 for M:

M + 4 = 2(J + 4)

M + 4 = 2J + 8

M = 2J + 4 (equation 3)

Next, we can substitute equation 1 into equation 3:

M = 2J + 4

J + 8 = 2J + 4

J = 4

So Jose is currently 4 years old. We can use equation 1 to find Martiza's current age:

M = J + 8

M = 4 + 8

M = 12

Therefore, Martiza is currently 12 years old. However, we need to double-check our work by verifying that in four years, Jose's age will be half as much as Martiza's age.

Jose's age in four years will be 4 + 4 = 8.

Martiza's age in four years will be 12 + 4 = 16.

And indeed, 8 is half of 16.

So the final answer is: Martiza is currently 16 years old

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9514 1404 393

Answer:

  3.  x = 10

  4.  a = 8

Step-by-step explanation:

A reasonably simple rule to remember for secants outside the circle or chords inside the circle: the product of the lengths from the point of intersection of the lines to the points of intersection of the circle is the same for each line.

When the external line is tangent to the circle, the two points of intersection of the line with the circle are the same: the point of tangency. Effectively, this means the length is squared.

__

3. For line QP, the product is 3(3+5) = 24.

For line QR, the product is 2(2+x). The rule above says these are equal:

  24 = 2(2+x)

  12 = 2+x . . . . . divide by 2

  10 = x . . . . . . . subtract 2

__

4. For line BC, the product is (a)(a) = a^2.

For line GC, the product is 4(12+4) = 64. The rule above says these are equal:

  a^2 = 64

  a = √64 . . . . take the square root

  a = 8

The correct interpretation of the given confidence interval is: “We are 95% confident that the population mean number of hours adults spend on formal exercise each week lies between 0.45 and 7.94.”


Option (a) is the correct interpretation because a confidence interval provides an estimate of the range within which the true population parameter (in this case, the mean number of hours spent on formal exercise) is likely to fall. The confidence level of 95% indicates that if we were to repeat the sampling process and construct confidence intervals, 95% of those intervals would contain the true population mean.

Therefore, we can say with 95% confidence that the population mean lies within the interval (0.45 hours, 7.94 hours). Option (b) is incorrect because probabilities are not associated with confidence intervals. Options (c) and € refer to the sample mean, not the population mean. Option (d) incorrectly suggests that we know the true population mean is within the interval, whereas the confidence interval provides an estimate of the likely range.

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Answer:

5

Step-by-step explanation:

First the question said that two equal sides of the isosceles triangles is thrice the third side. This means that the two equal sides is 3x while the third side should be represented as x

Secondly, add the three parts together which = 3x+3x+x =7x

Thirdly, then divide both sides by 7= 7x/7 *35/7

Making x=5

The creation story in Christianity exemplifies commitment creativity, obligation, generosity and service.

These values are demonstrated through God's actions and intentions in creating the world and his instructions to humanity to care for it.

Commitment, creativity, obligation, generosity and service are exercised in the creation story of Christianity:

Commitment:

In Christianity, the creation story in Genesis 1 shows God's commitment to creating the world in six days and resting on the seventh day.

This story shows that God was committed to his creation and intended it to be good.

Creativity:

The creation story in Genesis 1 also shows God's creativity in designing and bringing forth the world.

The story describes how God created the heavens and the earth, light, the seas and all living creatures, demonstrating his power and creativity.

Obligation:

In Christianity the creation story also demonstrates God's obligation to care for and provide for his creation.

In Genesis 1:29-30, God gives humans and animals all the plants and fruits on the earth for food showing his obligation to provide for them.

Generosity:

Similarly God's generosity is displayed in the creation story of Christianity.

God creates a world filled with beauty and abundance, with all the resources necessary for life to thrive.

He also gives humans and animals the ability to reproduce and multiply showing his generosity in sustaining life.

Service:

The creation story in Christianity also highlights the importance of service.

In Genesis 2:15 God places Adam in the Garden of Eden and instructs him to work and take care of it.

This shows the value of serving and caring for God's creation.

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Answer:

3. 72= (x)+(x+1)+(x+2) where x= the smallest number

72=3x+3

-3        -3

69=3x

/3   /3

x=23

x+1=24

x+2=25

smallest is 23

4. 48= (x)+(x+2)+(x+4)

48= 3x+6

-6        -6

42=3x

/3    /3

x=14

x+2=16

x+4=18

smallest is 14

5. all erasers were the same cost

25= 4x+5 (x= cost of erasers)

-5         -5

20=4x

/4   /4

x=5

each cost  $5

6. b= boxes

22= b/2 +7

-7            -7

15=b/2

multiply both sides by 2 to cancel the denominator

30=b

30 boxes originally

7. 40= total

8= left

2= balls given to each

x=number of friends

40= 2x+8

-8         -8

32=2x

/2   /2

x=16

she has 16 friends

8.  12= left

a= total allowance

12= (a/2) +4

-4            -4

8= a/2

multiply both sides by 2 to cancel the denominator

a= $16

she had an allowance of $16

9.  4 (2) = amount that her four children recieved

10=amount she took for herself

x= original

x= 4(2) + 10

x= 8 +10

x=18

she started with 18 candies

10. a= age

244= 400 - 2a

-400 -400

-156= -2a

/-2     /-2

a= 78

they are 78 years old

11. c= comic books

36=  c/2 + 16

-16           -16

20=c/2

multiply both sides by 2 to cancel the denominator

c=40

she started with 40 comic books

12.  b= students in buses

472= 9b + 4

-4             -4

468=9b

/9     /9

b= 52

52 students went in each bus

13. h= hats

17= h/2 +5

-5          -5

12=h/2

multiply both sides by 2 to cancel the denominator

h=24

she had 24 hats on monday

14. p= pies the club made

60= (p+4)/5

multiply both sides by 5 to cancel the denominator

300=p+4

-4         -4

p= 296

the club made 296 pies

Step-by-step explanation:

The scalar product P.Q = 33, P.S = -25, and Q.S = -2. The scalar product P-Q, P-S, and Q-S are not defined.

The scalar product, also known as the dot product, is a mathematical operation that takes two vectors and returns a scalar quantity. To compute the scalar product of two vectors, we multiply their corresponding components and sum the results.

For the given vectors, P = (11)i + (10)j + (11)k, Q = (3)i + (4)j - (5)k, and S = -4i + j - 2k.

To find P.Q, we multiply the corresponding components of P and Q and sum the results: P.Q = (11)(3) + (10)(4) + (11)(-5) = 33.

Similarly, P.S = (11)(-4) + (10)(1) + (11)(-2) = -25, and Q.S = (3)(-4) + (4)(1) + (-5)(-2) = -2.

However, the scalar product P-Q, P-S, and Q-S are not defined since these operations involve subtracting vectors, and the scalar product is not defined for vector subtraction.

Therefore, the scalar products P.Q = 33, P.S = -25, and Q.S = -2, while the scalar products P-Q, P-S, and Q-S are not defined.

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Answer:

100.03

Step-by-step explanation:

i think it is correct

The midpoint of the points A and B is (7/2, 5/2)

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

A has the coordinates [0,0] and B has coordinates [7, 5].

The midpoint is calculated as

Midpoint = 1/2(A + B)

Substitute the known values in the above equation, so, we have the following representation

Midpoint = 1/2(0 + 7, 0 + 5)

Evaluate

Midpoint = (7/2, 5/2)

Hence, the Midpoint is (7/2, 5/2)

Also, the complete statement is

To find where the median from (5, 0) to that midpoint intersects the other medians, you need to find 1/2 of point (5,0) and 1/2 of the ordered pair for the midpoint. After you then add the new x-values together and the new y-values together, you find that the medians intersect at point (7/2, 5/2).

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The dimensions that result in the maximum area enclosed by the fence are a length of 400 feet and a width of 400 feet.

To find the dimensions that result in the maximum area enclosed by the fence, we can use the concept of optimization. Let's denote the length of the rectangle as L and the width as W.

We know that the perimeter of a rectangle is given by the formula: P = 2L + 2W. In this case, the farmer has 1600 feet of fence, so we can write the equation:

2L + 2W = 1600

We need to express the area of the rectangle in terms of a single variable, so we'll use the fact that the area of a rectangle is given by A = L * W.

To find the maximum area, we can express the area in terms of a single variable and then find its maximum using calculus. From the perimeter equation, we can rewrite it as:

L + W = 800  (dividing both sides by 2)

Now we can express W in terms of L: W = 800 - L.

Substituting this value of W into the area equation, we get:

A = L * (800 - L)

To find the maximum area, we can take the derivative of A with respect to L and set it equal to zero:

dA/dL = 800 - 2L = 0

Solving this equation, we find L = 400. Substituting this value back into the equation for W, we get W = 800 - 400 = 400.

Therefore, the dimensions that result in the maximum area enclosed by the fence are a length of 400 feet and a width of 400 feet.

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Given that:

- The bin contains 100 CDs.

- Ten (10) of these CD's are defective.

- A customer randomly selects six (6) CDs.

You need to use the Binomial Distribution Formula:

Where "n" is the number of trials, "x" is the number of successes desired, "p" is the probability of getting success in one trial, and "q" is the probability of getting a failure in one trial.

In this case, you can identify that:

Now you can substitute values into the formula:

Simplifying, you get:

Hence, the answer is:

Answer:

two dice are thrown, so S = {(1,1); (1,2); (1,3); ...;(6,5); (6,6)} ---> 36

the sum is 2, 4, 6

sum = 2 --> (1,1) ---> 1

       = 4 --> (1,3); (2;2); (3,1) ---> 3

       = 6 --> (1,5); (2,4); (3,3); (4;2); (5,1) ---> 5

⇒ \(\frac{1 + 3+ 5}{36}\) = 9/36 = 1/4

The total distance that she walks over all three days is 8.5 km.

Given that:

Marcia walked 900 meters on Friday.

On Saturday, she walked 4 kilometers.

On Sunday, she walked 3 kilometers and 600 meters.

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

The total distance that she walks over all three days is given as,

⇒ 900 m + 4 km + 3 km + 600 m

⇒ 7 km + 1,500/1,000 km

⇒ 7 + 1.5

⇒ 8.5 km

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Answer:

21) 2 x 11

23) 2 x 2 x 2 x 3

25) 3 x 5

27) 2 x 2 x 5

29) 3 x 7

Step-by-step explanation:

Answer:

25.

SEE THE IMAGE FOR SOLUTION

Answer:

take a ruler and measure the distances between them and tell me the anwer when you find it

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

The probability of getting more than 12 successes in 14 trials with success probability 0.9 is approximately 0.9919. The variance of the given binomial distribution is 1.26 (rounded to two decimal places). The standard deviation of the given binomial distribution is approximately 1.123.

Part 1: To find the probability P(More than 12) for a binomial experiment with n=14 trials and success probability p=0.9, we can use the cumulative distribution function (CDF) of the binomial distribution:

P(More than 12) = 1 - P(0) - P(1) - ... - P(12)

where P(k) is the probability of getting exactly k successes in 14 trials:

\(P(k) = (14 choose k) * 0.9^k * 0.1^(14-k)\)

Using a calculator or a statistical software, we can compute each term of the sum and then subtract from 1:

P(More than 12) = 1 - P(0) - P(1) - ... - P(12)

= 1 - binom.cdf(12, 14, 0.9)

≈ 0.9919 (rounded to four decimal places)

Therefore, the probability of getting more than 12 successes in 14 trials with success probability 0.9 is approximately 0.9919.

Part 2: The mean of a binomial distribution with n trials and success probability p is given by:

mean = n * p

Substituting n=14 and p=0.9, we get:

mean = 14 * 0.9

= 12.6

Therefore, the mean of the given binomial distribution is 12.6 (rounded to two decimal places).

Part 3: The variance of a binomial distribution with n trials and success probability p is given by:

variance = n * p * (1 - p)

Substituting n=14 and p=0.9, we get:

variance = 14 * 0.9 * (1 - 0.9)

= 1.26

Therefore, the variance of the given binomial distribution is 1.26 (rounded to two decimal places).

The standard deviation is the square root of the variance:

standard deviation = sqrt(variance)

= sqrt(1.26)

≈ 1.123 (rounded to three decimal places)

Therefore, the standard deviation of the given binomial distribution is approximately 1.123.

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The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.

Put this values in the above formula as,

\(A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times4}\\A=11422.6348\)

For the four years, the monthly payment is,

\(m=\dfrac{11422.6348}{12\times4}\\m=237.97\)

The monthly payment of unsubsidized loan is $237.97.

The monthly payment of subsidized loan is $202.80.

The difference between the unsubsidized and subsidized loan monthly payment is,

\(d=237.97-202.80\\d=35.17\\d\approx 35.05\)

Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

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Answer:

Domain:[-4,∞)

Range:[0, ∞)

Thus, choice C is the exact answer

Answer:

In 2 seconds, the space station travels 10 miles.

Step-by-step explanation:

Well, if the x axis represents time in seconds and the y axis represents distance in miles, then when your x value is 2, your y value is 10.

Answer:

x = -9

Step-by-step explanation:

x = -9 would be the slope because when you see the two points for each coordinate there is no x value but we do see a straight line and we see that there is no y-intercept. So, x= -9 would be the answer. Hope this helps.

The cost of the 12 units sold is, $224 - $144 = $80

Using the FIFO periodic inventory method, the cost of the 12 units that are sold is $120. This is because the first 12 units sold were the ones that were purchased on February 3 for $12 each. The total cost of these units is 12 units * $12/unit = $12*12=144. The remaining 8 units in the inventory were purchased on February 1 for $10 each, for a total cost of 8 units * $10/unit = $8*10=80. The total cost of the inventory is therefore $144 + $80 = $224. The cost of the 12 units sold is, therefore, $224 - $144 =$80.

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The probability of running out of anchovies before the evening is over is approximately 0.058, or 5.8%. We must presume that the number of pizzas ordered with anchovies follows a binomial distribution with parameters n = 60 (the total number of pizzas) and p = 0.08 in order to answer this issue using the normal approximation for the binomial distribution. (the probability of ordering anchovies on a pizza). 

The standard deviation of this binomial distribution is given by = sqrt(np(1-p)) = sqrt(60 x 0.08 x 0.92) = 2.03, and the mean is given by = np = 60 x 0.08 = 4.8.

Now, we need to determine the likelihood that we will need to prepare more than eight anchovy-topped pies before the evening is through in order to determine the likelihood that we will run out of anchovies. (since we only have enough anchovies for 8 pizzas).

This is equivalent to finding the probability that the number of pizzas with anchovies is greater than 8, or P(X > 8), where X is the number of pizzas with anchovies.

To use the normal approximation for the binomial distribution, we need to standardize the variable X using the standard normal distribution. This gives us:

z = (X - μ) / σ = (8 - 4.8) / 2.03 = 1.57

Using a standard normal table or calculator, we can find the probability that z is greater than 1.57, which is approximately 0.058. Therefore, the probability of running out of anchovies before the evening is over is approximately 0.058, or 5.8%.

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Answer:

$355

Step-by-step explanation:

if each pear is 60c and apples are 5c less...

60×5=300

300+55=355

because 60-5=55