Jose has scored 607 points on his math tests so far this semester. To get an A for the semester, he must score at least 619 points.


Part 1 out of 2
Enter an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. Let n represent the number of points Jose needs to score on the remaining tests.


The inequality is + n .

Answer:

1 and 10

Step-by-step explanation:

Account #1: one year (because it doubles each year)

Account #2: ten years (100 * 10 = 1000)

Answer:

A, C, D

Step-by-step explanation:

I did it on edg and got it right, ur welcome

Answer:

A, C, D

Step-by-step explanation:

got it right on a test

Answer:1=a, 2=b, 3=c

Step-by-step explanation:

just smart like that

The break-even price for Decaf Columbian is $8.85

To determine breakeven price for Decaf Columbian, we have to get total cost of processing and selling it and divide it by the number of pounds produced after the 4% loss due to evaporation.

The total cost of processing is:

= $13,750 + (5,500 x $6.00)

= $46,750

The pounds produced after evaporation is:

= 5,500 x (1 - 0.04)

= 5,280 pounds

The breakeven price for the company will be:

= $46,750 / 5,280 pounds

= $8.85416667

= $8.85

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Answer:

B. 20 feet

Step-by-step explanation:

If the triangles are similar that means the ratio of the sides of the triangles are the same.

Sense the left side of bigger triangle is 4 times bigger than the bottom side of the triangle, then the left side of the smaller triangle is 4 times bigger than the bottom side.

5×4=20

Answer:

a = 10

b = -4

Step-by-step explanation:

You have to replace x with the number that's equal to it... but then multiply it by the number in front of it.

3x-2 to 3(4)-2 = 10

5x+6 to 5(-2)+6 = -4

Answer:

32, 34

Step-by-step explanation:

The answer must be grater than 30 so 30 is not an option the integers in the range are 31, 32, 33, and 34 the only even integers in this set are 32, and 34. Hope this helps. :)

Answer:

6. (x,y) -> (x,y-4)

7. (x,y) -> (-x,y)

Step-by-step explanation:

6. You shift it 4 units down. Y makes things go up and down.

7. Youre flipping it over the Y axis. It doesnt change the Y values, only the X.

Answer:

A)6

B)x 2

C)x

Step-by-step explanation:

The estimated value of "a" using the method of moments is 47.

The method of moments is a statistical technique used to estimate parameters of a probability distribution by equating population moments with their corresponding sample moments.

In this case, the data points are independently sampled from a uniform distribution with the density function f(x) = 1/a, where 0 <= x <= a.

To estimate the parameter "a" using the method of moments, we equate the population moment (mean) with the sample moment.

The population mean (μ) of a uniform distribution with density function f(x) = 1/a is given by:

μ = (a + 0) / 2 = a/2

The sample moment is calculated as the average of the data points:

Sample mean = (22 + 23 + 23 + 28 + 28 + 29 + 32 + 35 + 37 + 37 + 42 + 47) / 13 ≈ 31.23

Equating the population mean and the sample mean:

a/2 = 31.23

Solving for "a":

a = 2 * 31.23 = 62.46

Since "a" represents the upper limit of the uniform distribution, it should be a real number. Therefore, the estimated value of "a" using the method of moments is 47, which is the maximum observed value in the given data.

Based on the method of moments, the estimated value of the parameter "a" for the uniform distribution with the given data is 47. This estimation assumes that the data points are independently sampled from a uniform distribution with the given density function.

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The given series is divergent.

To determine whether the series converges or diverges, we can use the divergence test, which states that if the limit of the nth term of a series does not approach zero as n approaches infinity.

Then the series must diverge.

Let's find the limit of the nth term of the given series:

lim n → ∞ n^2 / (4n^3 - 3n)

= lim n → ∞ n^2 / n^3 (4 - 3/n^2)

= lim n → ∞ 1/n (4/3 - 3/n^2)

As n approaches infinity, the second term approaches zero, and the limit becomes:

lim n → ∞ 1/n * 4/3 = 0

Since the limit of the nth term approaches zero, the divergence test is inconclusive. Therefore, we need to use another test to determine whether the series converges or diverges.

We can use the limit comparison test, which states that if the ratio of the nth term of a series to the nth term of a known convergent series approaches a nonzero constant as n approaches infinity.

Then the two series must either both converge or both diverge.

Let's compare the given series to the p-series with p = 3:

∑ n = 1 ∞ 1/n^3

We have:

lim n → ∞ (n^2 / (4n^3 - 3n)) / (1/n^3)

= lim n → ∞ n^5 / (4n^3 - 3n)

= lim n → ∞ n^2 / (4 - 3/n^2)

= 4/1 > 0

Since the limit is a nonzero constant, the two series either both converge or both diverge. We know that the p-series with p = 3 converges, therefore, the given series must also converge.

The correct series should be:

∑ n = 1 ∞ n / (4n^3 - 3)

Using the same tests as above, we can show that this series is divergent. The limit of the nth term approaches zero, and the limit comparison test with the p-series with p = 3 gives a nonzero constant:

lim n → ∞ (n / (4n^3 - 3)) / (1/n^3)

= lim n → ∞ n^4 / (4n^3 - 3)

= lim n → ∞ n / (4 - 3/n^4)

= ∞

Therefore, the given series is divergent.

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Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

The probability that the coin lands on heads if one of them is flipped and lands on heads with probability 0.6 is 0.6 × 1/2 + 0.3 × 1/2 = 0.45. Therefore, the probability that the coin lands on heads is 0.45.  

a) Let A be the event that the chosen coin is the one that lands on heads with probability 0.6 and B be the event that the coin lands on heads. Then, the required probability is P(A | B) = P(A and B) / P(B) .

Here, P(A and B) = probability that the chosen coin is the one that lands on heads with probability 0.6 and it actually lands on heads.

Since the probability that the coin lands on heads are 0.45 and the probability that the chosen coin is the one that lands on heads with a probability of 0.6 is 1/2, we have P(A and B) = 0.6 × 1/2 = 0.3. The probability that the coin lands on heads is 0.45.

So, P(B) = probability that the coin lands on heads = 0.45.P(A | B) = P(A and B) / P(B) = 0.3 / 0.45 = 2/3.

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The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

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There are 128 four-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7, with 7 appearing before 3).

To determine the number of 4-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7 with 7 appearing before 3), we can break down the problem step by step.

Step 1: Choose the positions of 3 and 7.

Since 7 must appear before 3, we have two possible cases:

Case 1: 7 is in the thousands place, and 3 is in the hundreds place.

Case 2: 7 is in the hundreds place, and 3 is in the thousands place.

Step 2: Determine the digits in the remaining two positions.

In the remaining two positions (tens and units place), we have eight possible digits to choose from (0, 1, 2, 4, 5, 6, 8, 9). This is because we have used the digits 3 and 7, leaving eight options for the remaining two positions.

Step 3: Calculate the total number of valid numbers.

For each case in Step 1, we multiply the number of choices from Step 2 to get the total count.

Case 1: 7 in thousands place, 3 in hundreds place.

In this case, we have 8 choices for the tens place and 8 choices for the units place. The total count for Case 1 is 8 * 8 = 64.

Case 2: 7 in hundreds place, 3 in thousands place.

Similarly, we have 8 choices for the tens place and 8 choices for the units place. The total count for Case 2 is also 8 * 8 = 64.

Step 4: Sum up the counts from both cases.

To get the final answer, we sum up the counts from both cases:

64 (Case 1) + 64 (Case 2) = 128.

Therefore, there are 128 four-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7, with 7 appearing before 3).

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Answer:

0.36, 0.38, 0.4

Step-by-step explanation:

The number from least to greatest will be 0.36, 0.38, 0.40.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The numbers are given below.

0.38, 0.4, 0.36

Arrange the numbers in ascending order. Then

0.36, 0.38, 0.4

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The  scale factor was used to create the dilated Triangle M'S'V' is 2/3

Given the following coordinate point M (-3, 3), S (6, 3), V (3, -3)​ which was dilated to get the coordinate point M' (-2, 2), S' (4, 2), V' (2, -2)

You can see that the scale factor is the ratio of the x coordinate of the image to that of the preimage as shown:

Scale factor M'/M = -2/-3 =4/6 = 2/3

Hence the  scale factor was used to create the dilated Triangle M'S'V' is 2/3

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The line integral of F around the perimeter of the given rectangle is equal to 20.

To find the line integral, we need to parameterize the path along the perimeter of the rectangle and calculate the line integral of F along that path.

The perimeter of the rectangle consists of four line segments: (5,0) to (5,2), (5,2) to (2,2), (2,2) to (-2,2), and (-2,2) to (-2,0).

Let's go through each segment one by one:

(5,0) to (5,2):

Parameterize this segment as r(t) = (5, t), where 0 ≤ t ≤ 2. The differential vector dr = (0, dt).

Substitute the parameterization into F: F(r(t)) = 5(5 + t)i + 4sin(t).

Calculate the dot product: F(r(t)) · dr = [5(5 + t)i + 4sin(t)] · (0, dt) = 0 + 4sin(t)dt = 4dt.

Integrate over the interval: ∫[0,2] 4dt = [4t] from 0 to 2 = 4(2 - 0) = 8.

Parameterize this segment as r(t) = (5 - t, 2), where 0 ≤ t ≤ 3. The differential vector dr = (-dt, 0).

Substitute the parameterization into F: F(r(t)) = 5(5 - t)i + 4sin(2) = (25 - 5t)i + 4sin(2).

Calculate the dot product: F(r(t)) · dr = [(25 - 5t)i + 4sin(2)] · (-dt, 0) = -(25 - 5t)dt.

Integrate over the interval: ∫[0,3] -(25 - 5t)dt = [-25t + (5t^2)/2] from 0 to 3 = -75 + 45/2 = -60/2 + 45/2 = -15/2.

(2,2) to (-2,2):

Parameterize this segment as r(t) = (t, 2), where 2 ≥ t ≥ -2. The differential vector dr = (dt, 0).

Substitute the parameterization into F: F(r(t)) = 5(t + 2)i + 4sin(2) = (5t + 10)i + 4sin(2).

Calculate the dot product: F(r(t)) · dr = [(5t + 10)i + 4sin(2)] · (dt, 0) = (5t + 10)dt.

Integrate over the interval: ∫[-2,2] (5t + 10)dt = [(5t^2)/2 + 10t] from -2 to 2 = (20 + 40)/2 = 60/2 = 30.

(-2,2) to (-2,0):

Parameterize this segment as r(t) = (-2, 2 - t), where 2 ≥ t ≥ 0. The differential vector dr = (0, -dt).

Substitute the parameterization into F: F(r(t)) = 5(-2 + 2 - t)i + 4sin(2 - t) = -ti + 4sin(2 - t).

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This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm.

The step cadence used during the YMCA 3-minute step test is a set of three stepping cycles per each 20-second period. This means that the participant takes a total of nine steps within each 20-second period. In other words, the participant steps up and down on the platform at a rate of approximately 24 steps per minute. It is important to maintain this consistent step cadence throughout the entire test in order to get an accurate measure of cardiovascular fitness. Overall, the YMCA 3-minute step test is a simple and effective way to assess an individual's aerobic fitness level.

The YMCA 3-minute step test utilizes a specific step cadence to measure an individual's cardiovascular fitness. The answer is that during the test, a cadence of 96 beats per minute (BPM) is used. This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm. Upon completion of the test, the participant's heart rate is measured for a minute to determine their fitness level. The test results can be compared to established norms to gauge overall cardiovascular health and endurance.

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Hi!

As per graph and question,

a) The most challenging is:-

Examination B

Reason - There are few high scores and many low scores.

b) The least challenging is:-

Examination C

Reason- There are many high scores, few low scores and the lowest mark is not zero.

we can see that the small box offers the best value for money with a cost of £0.34 per coffee pod. Therefore, the answer isThe small box gives the best value for money.

To determine the best value for money among the three sizes of coffee pod boxes, we need to calculate the cost per coffee pod for each size of the box.

For a small box with 12 coffee pods costing £4.08, the cost per coffee pod can be calculated as:

Cost per coffee pod = £4.08 ÷ 12 = £0.34

For a medium box with 20 coffee pods costing £7.80, the cost per coffee pod can be calculated as:

Cost per coffee pod = £7.80 ÷ 20 = £0.39

For a large box with 35 coffee pods costing £12.95, the cost per coffee pod can be calculated as:

Cost per coffee pod = £12.95 ÷ 35 = £0.37

Comparing the cost per coffee pod for each box size, we can see that the small box offers the best value for money with a cost of £0.34 per coffee pod. Therefore, the answer is:

The small box gives the best value for money.

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Answer:

69

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

\(15 = 3 \times \bold{ \red{ \boxed5}} \\ \\ 40 = 2 \times 2 \times 2 \times \bold{ \purple{ \boxed5}} \\ \\ common \: factor \: of \: 15 \: and \: 40= 5 \\ \\ \therefore \: gcf \: of \: 15 \: and \: 40 = 5\)

The volume of the cube after removing a sphere of diameter 10cm from it = 476.67 cm³

Volume of a cube = \(side^{3}\) (side = side of the cube)

What is the volume of a sphere?

Volume of a sphere = \(\frac{4 \pi (radius)^{2} }{3}\) (radius = radius of the sphere)

Given:

Total volume of the cube = \(10^{3}\) = 1000 cm³

Volume of the sphere = \(\frac{4\pi (5)^{3} }{3}\) = 523.33 cm³

Volume of the cube after removing the sphere of diameter 10cm = Total volume of the cube - Volume of the sphere = 1000 - 523.33 = 476.67 cm³

Hence, the required volume of the cube = 476.67 cm³

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Answer:

Below

Step-by-step explanation:

If you lose 5 %, you basically have 95 % remaining which is .95 in decimal

y = 1000 * (.95)^x       where x is the number of months  ( x = 9 in this case)

Answer:

5m + 4

Step-by-step explanation:

5(m + 1) - 1

Use the distributive property to multiply 5 by m + 1.

5m + 5 - 1

Subtract 1 from 5 to get 4.

5m + 4

Hope it helps and have a great day! =D

~sunshine~

Answer:

I believe it is y = -3x + 2

Step-by-step explanation:

Answer:

7.75

Step-by-step explanation:

7 is a whole so stays as such, 1/4 is 0.25 so 3/4 is 0.75

Answer:

As Per Provided Information

A cylinder has a volume of 320 pi cubic inches and a height of 5 inches.

We have been asked to determine the radius of the cylinder .

Using Formulae

\( \purple{\boxed {\bf\: Volume_{(Cylinder)} = \pi {r}^{2}h}}\)

Substituting the value and let's solve for radius .

\( \sf \qquad \longrightarrow \: 320 \pi \: = \pi \: \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 \cancel{\pi} = \cancel{ \pi} \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 = r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:r {}^{2} \: = \cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = \cancel\cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = 64 \\ \\ \\ \sf \qquad \longrightarrow \:r \: = \sqrt{64} \\ \\ \\ \sf \qquad \longrightarrow \:r \: = 8 \: inch\)

Therefore,