You want to apply the filter() function to the variables Cocoa. Percent and Rating. Add the code chunk that lets you filter the data frame for chocolate bars that contain at least 75% cocoa and have a rating of at least 3. 9 points. Filter(Cocoa. Percent >= 75, Rating >= 3. 9)What value for cocoa percent appears in row 1 of your tibble? a. 80% b. 75% c. 88% d. 78%

Answer:

The shortest length of the 3rd side of the triangle is 11 in - 7 in = 4 in.

The longest length of the 3rd side of the triangle is 11 in + 7 in = 18 in.

The 3rd side of the triangle can have length of between 4 in and 18 in.

Hope this answers your question!

we can use the law of conservation of energy. Since the two planets are released from rest, their initial kinetic energy is zero. Therefore, the speed of each planet as they crash together is approximately 5.99 × 10^3 m/s.

we can use the law of conservation of energy. Since the two planets are released from rest, their initial kinetic energy is zero. Therefore, the total initial energy is just the gravitational potential energy, given by:

\(U = -G * M^2 / r\)

where G is the gravitational constant, M is the mass of each planet (assumed to be equal), and r is the initial separation between them. We can then set the final kinetic energy to be equal to the initial potential energy (since the total energy is conserved), and solve for the final speed:

\((1/2) * M * v^2 = G * M^2 / r\)

\(v =\sqrt{(2 * G * M / r)}\)

Substituting the given values of G (6.674 × 10^-11 N m^2/kg^2), M (assuming Jupiter mass of 1.898 × 10^27 kg), and r (1.00 × 10^11 m), we get:

v = sqrt(2 * 6.674 × 10^-11 * 1.898 × 10^27 / 1.00 × 10^11) = 5.99 × 10^3 m/s

Therefore, the speed of each planet as they crash together is approximately 5.99 × 10^3 m/s.

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Answer:

0.036cm

Step-by-step explanation:

Curve Surface Area of Cone =

\(curve \: surface \: area \: of \: = \\\pi \: rl \\ \)

\(\pi = 3.142 \: \: radius \: = unknown \: \: \: l = 5cm \\ r = \frac{\pi \: l}{csa} = \: \frac{3.142 \times 5}{140 \times 3.142} = 0.036cm\)

The radius of the base of the cone is 28 cm

For a right circular cone of radius 'r', height 'h', and slant height 'l', we have; Curved surface area of the right circular cone = π r l. The total surface area of a right circular cone = π(r + l) r. The volume of a right circular cone = 1/3π r²h.

Given here CSA=140π cm² and slant height  l=5

thus using the formula for curved surface area we get

π×r×l =140π

 r = 140/5

 r=28 cm

Hence The radius of the base of the cone is 28 cm

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Answer: ?

Step-by-step explanation: Is that the whole question? I don't really understand the question.

Answer:

black

black

Step-by-step explanation:

The distance between two locations on the same line of latitude can be calculated by summing the total distance between the points in degrees and multiplying it by the statute miles per degree for the shared line of latitude.

To calculate the distance in miles between two locations on the same line of latitude, we first need to find the total distance between the points in degrees. In the case of location A, which is 60°N, 30°W, and location B, which is 60°N, 50°E, the total distance between the two points is 80 degrees (50°E - 30°W).

Next, we need to multiply the sum of the degrees by the statute miles per degree for the shared line of latitude. Since the line of latitude is 60°N, we need to determine the statute miles per degree at that latitude.

The Earth's circumference at the equator is approximately 24,901 miles, and since a circle is divided into 360 degrees, the distance per degree at the equator is approximately 69.17 miles (24,901 miles / 360 degrees).

Multiplying the total distance in degrees (80 degrees) by the statute miles per degree (69.17 miles), we find that the distance between the two locations is approximately 5,533.6 miles.

Similarly, for location C, which is 30°S, 60°W, and location D, which is 30°S, 90°E, the total distance between the points is 150 degrees (90°E - 60°W). Since the line of latitude is 30°S, we use the same statute miles per degree value (69.17 miles).

Multiplying the total distance in degrees (150 degrees) by the statute miles per degree (69.17 miles), we find that the distance between the two locations is approximately 10,375.5 miles.

Therefore, the distance between locations A and B is approximately 5,533.6 miles, and the distance between locations C and D is approximately 10,375.5 miles, when calculated using the given method.

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Answer:

B - StartFraction 78 minus 87 over 8 minus 2

According to the area of the rectangle, the dimensions of each pen will be 15.5 feet by 15.5 feet​

Area of rectangle:

Basically, the area of the rectangle refers the region occupied by a rectangle within its four sides or boundaries.

Given,

Here we need to find the dimensions of the rectangular dog park split into two pens (sharing a fence) of the same size producing the greatest enclosed area given 240 ft of fencing

Let us consider the length of the rectangle is l and the width of the rectangle is w.

Here in the given question, the length and width of the will be same.

Then the it can be calculated as,

=> 240 = s²

=> s = √240

=> s = 15.5

Therefore, the dimension is 15.5 feet by 15.5 feet.

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Step-by-step explanation:

⋆ \( \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} : \)

⋆ \( \underline{ \underline{ \large{ \tt{T \:O \: \: F \: I\:N \:D}}}} : \)

⋆ \( \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I\: O \: N}}}} : \)

[ Volume of a cuboid is calculated as the product of its dimensions }

☪ \( \boxed{ \large{ \sf{Volume \: of \: a \: cuboid = l \times b \times h }}}\)

~Plug the known values and then simplify!

⟶ \( \large{{2 \times 1 \frac{1}{2} \times 1 \frac{1}{2} }}\)

~Convert mixed number into improper fraction :

⟶ \( \large{2 \times \frac{2 \times 1 + 1}{2} \times \frac{2 \times 1 + 1}{2}} \)

⟶ \( \large{2 \times \frac{3}{2} \times \frac{3}{2}} \)

~To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominators for its denominator :

⟶ \( \large{ \frac{2 \times 3 \times 3}{1 \times 2 \times 2}} \)

⟶ \( \large{ \frac{ \cancel{2} \: \times 3 \times 3}{1 \times \cancel{2}\times 2}} \)

⟶ \( \large \frac{9}{2} \)

~Convert the improper fraction into mixed number :

⟶ \( \boxed{ \large { 4 \frac{1}{2} \: \text{units}^{3} }}\)

☥\( \huge{ \boxed{ \large{ \text{OUR \: FINAL \: ANSWER} : \boxed{\sf{4 \frac{1}{2} \: \: units^{3} }}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ! ツ

Let me know if you have any questions regarding my answer! ☄

✎ \( \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}\) !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

8.333333333333333

Step-by-step explanation:

Answer:

25/3 - Or in a simpler form 8 1/3

Step-by-step explanation:

I multiplied 15 by 5/9. I hope this helps :)

Answer:

\(Total\ water\ drank = 1\frac{7}{20}\ liters\)

Step-by-step explanation:

Amount of water drank before jogging = 3/4 liter

Amount of water drunk after jogging = 3/5

Total amount of water drunk = amount drank before jogging + amount drank after jogging

\(Total\ water\ drunk\ = \frac{3}{4} + \frac{3}{5} = \frac{15+ 12}{20} = \frac{27}{20}\\converting\ to\ a\ mixed\ number\\ \frac{27}{20}= 1\frac{7}{20}\\\therefore Total\ water\ drank = 1\frac{7}{20}\ liters\)

The best interpretation of the mean in this case is:

v. For all possible shipments of size 25, the average number of undamaged shipments is equal to 23.75.

The mean of a binomial distribution represents the average or expected value of the random variable. In this context, the random variable G represents the number of shipments with undamaged bowls in 25 randomly selected shipments. The mean of 23.75 suggests that, on average, out of all possible shipments of size 25, the company can expect to have approximately 23.75 shipments with undamaged bowls.

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There is a 75.40% chance that the sample mean X will be more than 0.5 away from the population mean μ.

Let X be the random variable representing the sample mean of a random sample of size 36 selected from a population with mean μ=44 and standard deviation σ=8.

The Central Limit Theorem (CLT) states that, under certain conditions, the distribution of the sample mean X can be approximated by a normal distribution with mean μ and standard deviation σ/√(n), where n is the sample size. Since the sample size is 36, we can use this approximation.

The probability that X is more than 0.5 away from the population mean can be calculated as follows:

P(|X-μ| > 0.5) = P((X-μ)/ (σ/√(n)) > (0.5) / (σ/√(n))) + P((X-μ)/ (σ/√(n)) < (-0.5) / (σ/√(n)))

Using the standard normal distribution table, we can find the corresponding probabilities for each term on the right-hand side of the equation. We have:

P(Z > 0.3125) + P(Z < -0.3125)

where Z is a standard normal random variable with mean 0 and standard deviation 1.

Using the standard normal distribution table, we can find that P(Z > 0.3125) = 0.3770 and P(Z < -0.3125) = 0.3770.

Therefore, the approximate probability that X will be more than 0.5 away from the population mean is:

P(|X-μ| > 0.5) = 0.3770 + 0.3770 = 0.7540

In terms of percentage, we can rewrite it as,

P(|X-μ| > 0.5) = 0.7540*100 = 75.40%

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Answer:

The sailboat and speedboat meet at x=3.

Step-by-step explanation:

Assuming your first equation is \(-x^{2} +2x+8\) (you missed the square).

\(-x^{2} +2x+8=-x+8\\x^{2} -3x=0\\x(x-3)=0\\x=0\\x=3\\\)

The limit is equal to 1, so the Ratio Test is inconclusive. Further tests would be required to determine if the series converges absolutely or diverges.

To use the ratio test, we take the limit of the absolute value of the ratio of the (k+1)th term to the kth term:

lim as k approaches infinity of |(6(k+1)^4)/(6k^4)|

Simplifying this expression, we get:

lim as k approaches infinity of |(k+1)^4/k^4|

Using L'Hopital's rule, we can evaluate this limit:

lim as k approaches infinity of |4(k+1)^3/4k^3|

lim as k approaches infinity of |(k+1)/k|^3

Since the limit is less than 1, by the ratio test, the series converges absolutely.

Alternatively, we can use the root test, which involves taking the kth root of the absolute value of the kth term:

lim as k approaches infinity of |(6k^4 k)^(1/k)|

Simplifying this expression, we get:

lim as k approaches infinity of |6^(1/k) * k^(4+1/k)|

The exponent 4+1/k approaches 4 as k approaches infinity, so we can ignore the 1/k term. Taking the limit of just the k^(4) term, we get:

lim as k approaches infinity of |6^(1/k) * k^4|^(1/k)

Using the fact that lim as k approaches infinity of 6^(1/k) = 1 and lim as k approaches infinity of k^(4/k) = 1, we get:

lim as k approaches infinity of |6^(1/k) * k^4|^(1/k) = 1

Since the limit is less than 1, by the root test, the series converges absolutely.
To determine if the given series converges absolutely or diverges, we can use the Ratio Test. The series is given as:

Σ(6k^4 * k) for k = 1 to ∞

First, let's simplify the series:

Σ(6k^5) for k = 1 to ∞

For the Ratio Test, we need to compute the limit as k goes to infinity of the ratio of consecutive terms:

lim (k → ∞) (|a_(k+1)| / |a_k|)

For our series, a_k = 6(k+1)^5 and a_(k+1) = 6k^5. So we have:

lim (k → ∞) (|6(k+1)^5| / |6k^5|)

We can simplify by canceling the common factor of 6:

lim (k → ∞) ((k+1)^5 / k^5)

Now, let's take the limit:

lim (k → ∞) (1 + 1/k)^5 / 1 = 1^5 / 1 = 1

For the Ratio Test, if the limit is less than 1, the series converges absolutely; if it is equal to 1, the test is inconclusive; if it is greater than 1, the series diverges.

In this case, the limit is equal to 1, so the Ratio Test is inconclusive. Further tests would be required to determine if the series converges absolutely or diverges.

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0.25x^2 - 0.16y^4

Both terms are perfect squares so use the difference of squares formula

A^2 - b^2 = (a+b)(a-b) where a = 5x and b = 4y^2

Answer is 0.01(5x + 4y^2)(5x-4y^2)

Answer:

Solution given:

0.25x^2 - 0.16y^4

[0.5x]²-[0.4y²]²

[Note: Using formula: x²-y²=(x+y)(x-y)]

(0.5x+0.4y²)(0.5x-0.4y²) is a required answer.

Answer:

The last one

Step-by-step explanation:

9/4 is the greatest as there is over two wholes, and that option is the only one where it is the right spot

Answer;

1. 7/9   5/6    9/4

Step-by-step explanation:

We cannot determine the exact amount of fencing Sam needs.

To find out how many feet of fencing Sam needs, we need to calculate the total perimeter of his garden.

First, let's find the length of the two sides that are already near a fence. Since these sides are already taken care of, we don't need to include them in our calculation.

Now, let's focus on the other two sides that are 15 and 23 feet long. To find the total perimeter, we need to add the lengths of all four sides together.

So, the total perimeter is 15 + 23 + (length of the two sides near the fence) + (length of the other side near the fence).

Since we don't know the length of the sides near the fence, we cannot calculate the exact length of the total perimeter.

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After rounding 475.189 to the nearest hundredth we get 475.19 .

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rules of rounding a number to its nearest hundredth is,

The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.

If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.

And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.

Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit)  by 1 we get 475.19 (to the nearest hundredth).

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The perimeter is defined as the total length measurement of the curcumference of a polygon.

But generally we are given the measurements of sides of the polygon.

So the perimeter is found by summing up all these sides that act as a circumference or boundary of the polygon,

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x denotes the rectangle's length and y its width.

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Answer:

No they are not congruent

Step-by-step explanation:

The first triangle uses SAS while the second triangle is SSA

They both don't have the same congruent side or angles. So they are not congruent

In the given scenario, picking marbles from a box, we can create two situations to illustrate dependent and independent events.

Dependent event: Suppose Bella picks a green marble from the box and does not put it back. Then, on her next pick, the probability of selecting another green marble would change since there would be one less green marble in the box. The second event (picking the second marble) is dependent on the outcome of the first event (picking the first marble) because the probability is affected by the previous selection.

Independent event: If Bella picks a purple marble from the box and puts it back before her next pick, each event would be independent of each other. The probability of picking a specific color marble would remain the same for each subsequent pick, as the previous selection does not affect the probability of the next selection.

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The main task for members during the final session is to put into words what has transpired from the first to the final session.

The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.

Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.

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Step-by-step explanation:

6/√3×√3/√3=6√3\√3

because √3×√3=3 hope you are not confused pls follow

Answer:

2√3

Step-by-step explanation:

because yes

Answer:

(3,4)

Step-by-step explanation:

Start at the point (1,1) then Rise 2, and go to the right 3 which will give you the point (3, 4)

Option b. The oversight was discovered during the preparation of gators' 2021 financial statements. depreciation expense on this machine for 2021 should be $372,000.

The yearly straight-line devaluation cost for the machine would be $186,000 ($930,000/5). In any case, since no deterioration was perceived in 2020, the collected devaluation toward the start of 2021 would be $0 rather than $186,000. In this manner, the complete devaluation cost for 2021 would be the yearly deterioration of $186,000 in addition to the get up to speed devaluation for 2020 of $186,000, for a sum of $372,000. This make up for lost time devaluation is important to address the blunder made in the earlier year and guarantee that the resource is appropriately recorded on the asset report. Accordingly, the right response is $372,000.

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The complete question is:

On January 1, 2020, Oriole Corp. acquired a machine at a cost of $930000. It is to be depreciated on the straight-line method over a 5-year period with no residual value. Because of a bookkeeping error, no depreciation was recognized in Oriole's 2020 financial statements. The oversight was discovered during the preparation of Oriole's 2021 financial statements. Depreciation expense on this machine for 2021 should be

$232500.

$372000.

$186000.

$0.