Let R be the region in the first quadrant bounded below by the parabola y = x² and above by the line y = 2. Then the value of ff, yx dd is: This option This option WIN This option 43 None of these Th

Answer:

5/13

Step-by-step explanation:

sine=opposite/hypotenuse

cosine=adjacent/hypotenuse

opposite=-12 (I know that this is not possible)

hypotenuse=13

These are ratios, not real lengths

using the Pythagorean theorem, the other leg is 5

cos (theta)=5/13

A statement which best describe the transformation from Figure 1 to Figure 2 is: C. reflection over the y-axis.

In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure by producing a flipped, but mirror image of the geometric figure.

In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of figure 1, the coordinates of figure 2 include the following:

(x, y)                               →              (-x, y)

Coordinate A = (-6, 5)   →  Coordinate A' = (-(-6), 5) = (6, 5).

Coordinate B = (-4, 5)   →  Coordinate B' = (-(-4), 5) = (4, 5).

Coordinate C = (-3, 5)   →  Coordinate C' = (-(-3), 5) = (3, 5).

Coordinate D = (-5, 4)   →  Coordinate D' = (-(-5), 4) = (5, 4).

Coordinate E = (-5, 3)   →  Coordinate E' = (-(-5), 3) = (5, 3).

Coordinate F = (-7, 3)   →  Coordinate F' = (-(-7), 3) = (7, 3).

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Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.

Since the median of the data is 46cm

the third quartile is 48cm,

this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.

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Answer: x= 4 and y= 540

You should read the corresponding values inorder to figure out the other value

estimated sum-114, actual sum-112.97

Step-by-step explanation:

76.6-77

25.5-26

10.87-11

77+26+11=114

76.6+25.5+10.87=112.97

Answer:

Yeah good job! u got it right :)

Step-by-step explanation:

How to find perimeter?

Frist you will add up all the sides

then thats your answer :)

In this case the same logic applies

Hope this helps :3

Answer:

- opposite sides of a parallelogram are congruent.

-definition of a parallelogram

- alternate interior angles are congruent

Step-by-step explanation: I took the test .

Without seeing the scatterplot or the data, it is difficult to determine the exact value of x that has the largest absolute prediction error.

However, in general, the x-value with the largest absolute prediction error is typically the x-value that is farthest away from the regression line.

To calculate the prediction error for a given x-value, you can first calculate the predicted y-value for that x-value using the equation of the regression line. Then, you can subtract the actual y-value for that x-value from the predicted y-value to get the prediction error.

The absolute value of the prediction error represents the magnitude of the difference between the actual and predicted values, regardless of whether the prediction was too high or too low. Therefore, to find the x-value with the largest absolute prediction error, you can calculate the absolute prediction error for each x-value and then identify the x-value with the largest value.

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The recursive formula for the given problem is W(n) = W(n-1) + 2 * W(n-1), with the base case W(0) = 1. This formula calculates the number of n-letter "words" that can be created from an unlimited supply of 'a's, 'b's, and 'c's,

To derive the recursive formula, we consider two cases for the first letter of the word: either it is an 'a' or it is not. If the first letter is 'a', we need to ensure that the remaining (n-1) letters form a word with an even number of 'a's. Therefore, the number of words in this case is equal to W(n-1), as we are recursively solving for the remaining letters.

If the first letter is not 'a', we have the freedom to ch

oose from 'b' or 'c'. In this case, we have two options for each of the remaining (n-1) letters, resulting in 2 * W(n-1) possibilities. By summing these two cases, we obtain the recursive formula W(n) = W(n-1) + 2 * W(n-1), which calculates the total number of n-letter words satisfying the given criteria.

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Answer:

\((13 + 29 - 2) \div 2 \\ (42 -2 ) \div 2 \\ 40 \div 2 \\ = 20\)

Answer:

hope it helps.

the answers are A and D hope this helped

Answer:

20 percent of them

Step-by-step explanation:

3/15=1/5=20%

Answer:

B or the second option

Step-by-step explanation:

We can label the diagram parts A-E to fully represent the situation in the question.

A: Julie's ascent up the mountain (moving/increasing)

B: Julie drinking hot chocolate (stationary/constant)

C: Julie's descent down the mountain (moving/decreasing)

D:  Julie rests (stationary/constant)

E:  Julie's final descent down the mountain (moving/decreasing)

The speed of the curve at t=4 is approximately 40.63.

We have a given curve as follows:

¯ r ( t ) = ⟨ 5 t 2 − 6 , 7 t − 6 , t 3 8 t ⟩ at t = 4

To find the speed of the curve at t=4, we need to evaluate the magnitude of its velocity vector at t=4.

Velocity vector is the derivative of the curve with respect to time.

Hence, we start by finding the derivative of the curve. The derivative of the curve can be obtained as follows:¯ r'(t) = ⟨10t, 7, (3/8)t² - (3/8)⟩We can now evaluate the velocity vector at t=4:

¯ r'(4) = ⟨10*4, 7, (3/8)(4²) - (3/8)⟩= ⟨40, 7, 1.5⟩

To find the speed of the curve at t=4, we need to evaluate the magnitude of the velocity vector at t=4. The magnitude of a vector can be obtained using the formula:

|v| = √(v₁² + v₂² + v₃² +...)

Therefore, the speed of the curve ¯ r ( t ) = ⟨ 5 t 2 − 6 , 7 t − 6 , t 3 8 t ⟩ at t = 4 is:

|¯ r'(4)| = √(40² + 7² + 1.5²)= √(1600 + 49 + 2.25)= √1651.25≈ 40.63

The speed of the curve at t=4 is approximately 40.63.

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Hence, according to the question given, we have Jenny got 21 large buttons.

A ratio is a mathematical relationship between two values that are usually expressed as the quotient of one value divided by the other. In order to compare or explain the relative sizes of two or more quantities, ratios can be used.

A particular kind of ratio called a proportional relationship is one in which the ratio between the two quantities is constant. To put it another way, if you increase one amount by a specific factor, the other amount will also be multiplied by that same factor.

Jenny purchased a bag of mixed buttons containing 30 total buttons,70% were large.

We can use the following method to determine how many large buttons she received:

number of large buttons = percentage of large buttons x total number of buttons

By substituting the provided values, we get the following:

number of large buttons = 70% x 30 buttons

                                         = 0.7 x 30 buttons

                                         = 21 buttons

Therefore, Jenny got 21 large buttons in the bag of mixed buttons.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

after 6 weeks

Step-by-step explanation:

Sid and Tim starts saving each week.

Sid starts his savings with initial amount of £13.00

Tim starts his saving with initial amount of £00.00

Each week from now Sid will save = £3.50

Tim will save each week = £3.00

Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)

and the amount of Tim's saving after x weeks = £ (3x)

The ratio of their savings in x weeks would be = 17 : 9

Now the expression we get,

(13 + 3.50x) : (3x) = 17 : 9

\(\frac{13+3.50x}{3x}=\frac{17}{9}\)

9(13 + 3.50x) = 17(3x)

117 + 31.5x = 51x

117 = 51x - 31.5x

117 = 19.5x

\(x=\frac{117}{19.5}\)

x = 6

After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.

Answer:

10 x 10^7

Step-by-step explanation:

When multiplying two expressions of scientific notation together, you multiply the values together, and then add the exponents. In this case, it would be:

2.5 x 4 = 10

4 + 3 = 7

10 x 10^7

The amount of interest charged at the end of the term is approximately $644.75.

To calculate the amount of interest charged at the end of the term, we can use the simple interest formula:

Interest = Principal * Rate * Time

Principal = $6,250

Rate = 4.12% = 0.0412 (decimal form)

Time = 2 years + 6 months = 2.5 years

Plugging in these values into the formula, we have:

Interest = $6,250 * 0.0412 * 2.5

Calculating this expression:

Interest = $6,250 * 0.0412 * 2.5 = $644.75

Therefore, the amount of interest charged at the end of the term is $644.75 (rounded to the nearest cent).

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Answer:

x = 27

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(x+48)* 48 = 60^2

(x+48)* 48 = 3600

Divide each side by 48

x+48 =75

Subtract 48 from each side

x = 75-48

x=27

Option d) is correct, i.e. a rotation, then a dilation. Transformation will create a pair of similar but not congruent triangles.

Which composition of transformations will create a pair of similar, not congruent triangles?

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

When triangle is rotated, than position of angles will change. Aftermath the dilation of the triangle would increase the proportion of the sides, but angles remains equal, by which the triangle remain similar but not congruent.

Thus, a rotation, then a dilation transformation will create a pair of siilar but not congruent triangles.

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Answer:

D. a rotation, then a dilation

Step-by-step explanation:

got it right on edge 23

Answer:

blue marble 12/50. tails 20/50

Step-by-step explanation:

12/50×20/50 =240/2500= 12/125 =9.6%

Answer:

12/50

Step-by-step explanation:

Answer:

exterior angle = 36°

Step-by-step explanation:

In any polygon

exterior angle + interior angle = 180°

let x be the exterior angle then interior angle is 4x , then

x + 4x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus exterior angle = 36°

Answer:

x = \(\frac{1}{2}\) , y = 3

Step-by-step explanation:

y = 2x + 2 → (1)

y = - 2x + 4 → (2)

Substitute y = 2x + 2 into (2)

2x + 2 = - 2x + 4 ( add 2x to both sides )

4x + 2 = 4 ( subtract 2 from both sides )

4x = 2 ( divide both sides by 4 )

x = \(\frac{2}{4}\) = \(\frac{1}{2}\)

Substitute this value into (1) for value of y

y = 2(\(\frac{1}{2}\) ) + 2 = 1 + 2 = 3

Answer:

II) 78

Step-by-step explanation:

2x - 6 + 7x + 15 = 90

9x + 9 = 90

9x = 81

x = 9

<ABC:

7x + 15

7(9) + 15

78

Answer and Step-by-step explanation:

To find the measure of angle ABC, we need to find what x is first. We accomplish this by adding together the two angles and setting it equal to 90.

2x - 6 + 7x + 15 = 90

Combine like terms.

9x + 9 = 90

Subtract 9 from both sides.

9x = 81

Divide both sides by 9.

x = 9

We get x to be 9.

Now, we can plug this in for angle ABC.

7(9) + 15

Multiply 7 and 9 together.

63 + 15

Add 63 and 15 together.

78

The measure of ABC is 78.

That means the answer is II) 78.

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The probability of obtaining a sum of 18 when rolling four dice and taking the sum of the three highest values can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

When rolling four dice, each die can have six possible outcomes, ranging from 1 to 6. To find the probability of obtaining a sum of 18, we need to determine the number of favorable outcomes. In this case, we are interested in the three highest values summing up to 18.

To calculate this, we can use combinations. The three highest values that can result in a sum of 18 are 6, 6, and 6. We can choose these three values from the four dice in only one way. The remaining die can have any value from 1 to 6, giving us six possible outcomes.

Therefore, the number of favorable outcomes is 1, and the total number of possible outcomes is 6^4 (since each die has six possible outcomes and we are rolling four dice). Dividing the number of favorable outcomes by the total number of possible outcomes gives us the probability: 1/(6^4) ≈ 0.00077, or approximately 0.077%. Thus, the probability of obtaining a sum of 18 when rolling four dice and taking the sum of the three highest values is very low.

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Hence, the students voted in favour of both issues is \(99\).

What is the inclusion exclusion?

Principle of Inclusion and Exclusion is an approach which derives the method of finding the number of elements in the union of two finite sets.

This is used for solving combinations and probability problems when it is necessary to find a counting method, which makes sure that an object is not counted twice.

Here given that,

Euler middle school, \(198\) students voted on two issues in a school referendum with the following results: \(149\) voted in favor of the first issue and \(119\) voted in favor of the second issue.

If there were exactly \(29\) students who voted against both issues

Using the Principles of Inclusion Exclusion then,

\(149+119+29-198=99\)

Hence, the students voted in favour of both issues is \(99\).

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