Find the derivative of the given function.
y=4x² (5-7x)^8

The value of x and y are 32.02 and 13.3 respectively.

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

If a and b are the legs of the triangle and c is the hypotenuse, then,

c² = a²+b²

Triangle EFG is a right angled triangle so also triangle DEG

Therefore,

x² = 25²+20²

x² = 625 + 400

x² = 1025

x = √1025

x = 32.02

Also,

y² = 24² - 20²

y² = 576 - 400

y² = 176

y = √176

y = 13.3

Therefore the value of x and y is 32.02 and 13.3 respectively.

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Answer:

-------------------------

Each question can be answered either true or false, giving two possible choices for each of the 8 questions.

Therefore, the total number of ways to answer the questions is the product of the number of choices for each question, which is:

7. Plodd) = 50%

8. Plone-digit number) = 30 percent

9. . P(negative) = 0

11. P(divisible by 6) = 17%

13. P(1 or 30) = 7%

7. The probability of selecting an odd number from 1 to 30 can be found by counting the number of odd numbers in that range, which is 15, and dividing it by the total number of balls, which is 30. Therefore,

Fraction: 15/30

Decimal: 0.50

Percent: 50%

8. The probability of selecting a one-digit number from 1 to 30 can be found by counting the number of one-digit numbers in that range, which is 9, and dividing it by the total number of balls, which is 30. Therefore,

Fraction: 9/30

Decimal: 0.30

Percent: 30%

9. There are no negative numbers in the range from 1 to 30, so the probability of selecting a negative number is 0.

Fraction: 0/30

Decimal: 0

Percent: 0%

11. To be divisible by 6, a number must be divisible by both 2 and 3. There are 15 numbers in the range from 1 to 30 that are divisible by 2, and 10 numbers that are divisible by 3. However, there are only 5 numbers that are divisible by both 2 and 3, which are 6, 12, 18, 24, and 30. Therefore,

Fraction: 5/30

Decimal: 0.17

Percent: 17%

13. The probability of selecting either 1 or 30 is the same as the sum of the probability of selecting 1 and the probability of selecting 30. Since there is only one ball with each of these numbers,

Fraction: 1/30 + 1/30 = 2/30

Decimal: 0.07

Percent: 7%

10. To end in 0, a number must be a multiple of 10, which means it must be one of the numbers 10, 20, or 30. Therefore,

Fraction: 3/30

Decimal: 0.10

Percent: 10%

12.  A two-digit number can be any number from 10 to 30, except for 10 and 30 themselves. Therefore,

Fraction: 18/30

Decimal: 0.60

Percent: 60%

14 The numbers greater than 17 but less than 26 are 18, 19, 20, 21, 22, 23, 24, and 25. Therefore,

Fraction: 8/30.

Decimal: 0.27

Percent: 27%

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To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

The set of integers that will be in A but not B and C will be 24, 32, 40,

The multiples of 8 comprise a set of {8, 16, 24, 32, 40, ...}, while the multiples of 4 correspond to {4, 8, 12, 16, 20, ...} and  those of 2 are documented as {2, 4, 6, 8, 10, …}. The intersection of these two sets, B and C (B ∩ C = {4, 8, 12, 16, 20, ...}) remains unchanged.

It should be noted that to obtain the number of integers found in the multples of 8 that aren’t multiples either of 4 or 2, the intersection needs to be excluded from set A. This will yield {24, 32, 40, ...} - thus it is concluded that the integer set of multiples of 8, but not of 4 or 2, is {24, 32, 40, ...}

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The possible outfits that Casey can make is 30 and  this is shown in the image that is attached.

The tree diagram is known to be one that shows the hierarchical organization of tasks and subtasks that must be done to achieve a goal. The branching diagram start with a single element that divides into two or more, each of which further divides into two or more, and so forth.

Based on the question, Casey has:

5 shirts

3 skirts

2 blazers

Therefore, to make a tree diagram of any possible outfits that Casey can make.​, there are a total of:

5 x 3 x 2

= 30

So, the possible outfits that Casey can make is 30.

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The value of the variable x for the triangle base length is derived as 5.

Using the proportionality theorem for evaluating x as follows:

JD/DK = PJ/PK

3x/(4x + 1) = 20/28

3x × 28 = 20(4x + 1) {cross multiplication}

84x = 80x + 20

84x - 80x = 20 {collect like terms}

4x = 20

x = 20/4 {divide through by 4}

x = 5

Therefore, the value of the variable x for the triangle base length is derived as 5.

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Answer:

b

Step-by-step explanation:just do it heh

Answer:

The Correct answer is D

the lower whiskers from 10 to 28

Answer:

Step-by-step explanation:

Let P(t) be the fox population t years after 2000. We know that the population has a continuous growth rate of 4% per year, which means that the population increases by a factor of 1.04 each year. Therefore, we can model the population as:

P(t) = 21400 * 1.04^t

Here, we start with the population in the year 2000 (21400) and multiply it by 1.04 raised to the power of the number of years after 2000 (t).

For example, if we want to find the population in the year 2015 (15 years after 2000), we can plug t = 15 into the equation:

P(15) = 21400 * 1.04^15

= 21400 * 1.618

= 34694.8

Therefore, we can expect the fox population to be approximately 34,695 in the year 2015.

The missing terms in the logarithmic equation are solved

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

log₄ 11 + log₄ 5 = log₄ ( a )

Now , the value of a is

From the logarithmic properties , we get

log A + log B = log AB

So , a = 11 + 5 = 16

b)

log₅ 3 - log₅ ( a ) = log₅( 3/5 )

From the logarithmic properties , we get

log A − log B = log A/B

So , a = 5

c)

log₇ 8 = 3 log₇ ( a )

From the logarithmic properties , we get

log Aⁿ = n log A

8 = 2³

So , a = 3

Hence , the logarithmic equation is solved

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Answer: morton made 84% of his free throws.

Step-by-step explanation: 50 is half of 100

•multiply 42 by 2 because 50 is half of 100

The elimination method is a technique used to solve linear equations that comprise a system. The fundamental principle behind this methodology involves nullifying one of the variables.

It should be noted that to implement the elimination approach successfully, we must exclude either x or y, which can be accomplished by multiplying the second equation by an amount necessary to make the coefficient of y consistent in both the equations:

With x's value now discerned, we can insert it into any of the original equations to calculate y. This explains the method.

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The line of reflection is x-axis.

Given that, the triangle XYZ is drawn with vertices X(4, −5), Y(6, −1), Z(10, −8). we need to determine the line of the reflection if the X′(4, 5).

We know that the rule of the reflection over x-axis is

(x, y) → (x, -y)

Here, the y-intercept is changing its sign so we can say that the line of reflection is x-axis.

Hence, the line of reflection is x-axis.

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Answer:

1/20

Step-by-step explanation:

To multiply two fractions, you simply multiply their numerators (top numbers) together and multiply their denominators (bottom numbers) together.

So, for 2/5 x 1/8, we have:

(2/5) x (1/8) = (2 x 1) / (5 x 8) = 2/40 = 1/20

Therefore, 2/5 x 1/8 is equal to 1/20.

Multiplying the numerators and denominators directly is the most straightforward method to solve the multiplication of fractions. However, there is another method called cross-multiplication, which you can use to solve this problem as well.

To use cross-multiplication, you multiply the numerator of the first fraction by the denominator of the second fraction, and then multiply the denominator of the first fraction by the numerator of the second fraction.
Then, you simplify the resulting fraction.

So, for 2/5 x 1/8, we have:

(2/5) x (1/8) = (2 x 1) / (5 x 8)

Cross-multiplying, we get:

(2/5) x (1/8) = (2 x 1) / (5 x 8) = (2 x 1) / (5 x 8) = 2/40

Simplifying the fraction 2/40, we can divide both the numerator and denominator by 2, to get:

2/40 = 1/20

Therefore, using cross-multiplication, we get the same answer as before:

2/5 x 1/8 is equal to 1/20.

If the length of the road in miles is 65, then in meters is approximately 104607.1 meters.

To convert miles to meters, we need to use a conversion factor. There are 1609.34 meters in one mile. So, to convert 65 miles to meters, we can multiply 65 by 1609.34.

65 miles * 1609.34 meters/mile = 104607.1 meters

The units when making conversions. Miles and meters are units of length, but they are not the same. To convert from one unit to another, we need to use a conversion factor that relates the two units. In this case, we used the conversion factor of 1609.34 meters per mile to convert from miles to meters.

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Answer:

12

Step-by-step explanation:

PEMDAS (Parenthesis, exponents, multiplication/division, addition/subtraction

(-1)² + 5(4) - 9

1 + 5(4) - 9

1 + 20 - 9

=12

The hypothesis is

Scientific investigations employ a crucial concept known as the null hypothesis, which asserts that there is no apparent correlation between analyzed data or variables.

The null tells us that the standard deviation is equal to 2.6

Concurrently, an alternate theory sets forth that an effect does indeed exist within the population being investigated. This differentiation allows researchers to draw meaningful conclusions from carefully collected empirical evidence.

H1: SD < 2.6

There is insufficient data to solve for the test stat

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The height of the can in inches is 44.68 inches

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

Volume = 8 cubic inches

Radius = 3/4 inches

The volume of a cylinder is calculated as

V = πr²h

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

π * (3/4)²h = 8

So, we have

h = 8π/[(3/4)²]

Evaluate

h = 44.68

Hence, the height of the can in inches is 44.68 inches

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The difference between the median test score in the morning and the afternoon is 12.5

From the question, we are to determine the difference between the median test score in the morning and the afternoon.

From the given diagram, we have box plots.

From the given box plots, we will determine the median test score in the morning and the median test score in the afternoon.

The median test score in the morning = 87.5

The median test score in the afternoon = 75

Thus,

The difference between the median test score in the morning and the afternoon =

Median test score in the morning - Median test score in the afternoon

The difference between the median test score in the morning and the afternoon = 87.5 - 75

The difference between the median test score in the morning and the afternoon = 12.5

Hence,

The difference is 12.5

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The probability that a randomly

selected point within the circle falls in the

red-shaded square is 63.7%.

A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).

radius  = 7cm

side of square = 7√2 cm

Area of the circle = πr²

                             = 3.14 * 7²

                             = 153.86 cm²

Area of the square = side * side

                               =  7√2 * 7√2

                               = 98 cm²

= Area of square / Area of the circle

= 98 / 153.86

=  63.7%

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Answer:

63.7

Step-by-step explanation:

I entered that and got it right

1. To find the probability that the length of a single trout taken at random from the pond is between 7 and 11 inches long, we need to use the normalcdf command with the given parameters. The formula for normalcdf is normalcdf(lower bound, upper bound, mean, standard deviation).

Thus, normalcdf(7, 11, 10.5, 1.2) = 0.6827.

Therefore, the probability that the length of a single trout taken at random from the pond is between 7 and 11 inches long is 0.6827.

2. To find the probability that the mean length of five trout taken at random is between 7 and 11 inches, we need to use the central limit theorem, which states that the sample mean will also follow a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size (i.e., sigma/sqrt(n)).

Thus, we first need to find the standard deviation of the sample mean, which is sigma/sqrt(n) = 1.2/sqrt(5) = 0.5367.

Then, we can use the normalcdf command with the given parameters. The formula for normalcdf is normalcdf(lower bound, upper bound, mean, standard deviation).

Thus, normalcdf(7, 11, 10.5, 0.5367) = 0.9468.

Therefore, the probability that the mean length of five trout taken at random is between 7 and 11 inches is 0.9468.

The angles formed by the chords and secants of the circle are;

28) m[tex]\widehat{AB}[/tex] = 60°

29) m[tex]\widehat{GH}[/tex] = 52°

30) m[tex]\widehat{DH}[/tex] = 90°

31) m∠1 = 90°

32) m∠2 = 58°

33) m∠3 = 32°

34) m∠5 = 49°

35) m∠6 = 90°

36) m∠7 = 99°

37) m∠8 = 96°

38) m∠9 = 116°

A chord is a segment that joins two distinct points on the circumference of a circle.

The angles formed by the arcs in the circle indicates that we get;

28) m[tex]\widehat{AB}[/tex] = 360° - 56° - 18° - 42° - 180° = 60°

29) m[tex]\widehat{GH}[/tex] = 90° - 38° = 52°

30) m[tex]\widehat{DH}[/tex] = 90°

31) m∠1 = 180°/2 = 90°

32) m∠2 = (56° + 18° + 42°)/2 = 58°

33) m∠3 = 90° - 58° = 32°

34) m∠5 = (1/2) × (38° + 18° + 42°) = 49° (Angles of intersecting chords theorem)

35) m∠6 = 90° (Supplementary angle to a right angle is 90 degrees angle is )

36) m∠7 = 180° - 32° - 49° = 99°

37) m∠8 = (1/2) × (52° + 38° + 60° + 42°) = 96°

38) m∠9 = m∠3 + (180° - m∠8) (External angles theorem and linear pair angles)

m∠9 = 32° + (180° - 96°) = 116°

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Answer: Yes

Step-by-step explanation:

Yes because the angles are both 120 degree's

(I'm not sure if this is right but btw I love your pfp :))

Answer:

37/24

Step-by-step explanation:

You have to find the common denominator.

Answer:

$1.50

Step-by-step explanation:

3÷2=1.50

By calculating the volume of both figures, we will see that 11,160 cubes can be fit in the prism.

Now, So we start with a rectangular prism that measures (7 + 1/2)cm by 12cm by (15 + 1/2) cm.

Hence, The volume is just the product of these 3 values,

so we get:

V = (7 + 1/2)cm × 12cm × (15 + 1/2)cm

V = 1,395 cm³

Now, a cube with an edge length of 1/2 cm has a volume of:

V' = (1/2cm)³

V' = 0.125 cm³

To see how many of the small cubes enter in the prism, we just need to take the quotient between these two volumes, this is:

V/V' = ( 1,395 cm³)/(0.125 cm³) = 11,160

This means that, 11,160 of the cubes can be fit in the prism.

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complete question is,

A rectangular prism measure 7 1/2 by 12 by 15 1/2

Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

What is the volume of the prism in cm? If you are stuck, think about how many cubes with 1/2-cm edge lengths fit into 1 cm.

The probability of tossing exactly 2 tails is 0.375.

We have,

A coin is tossed three times.

So, the outcomes can either be a head or a tail.

The possible outcomes when a coin is tossed three times are:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Now, the Pr(tossing exactly 2 tails)

= 3/8

= 0.375

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Answer:

640 Oz

Step-by-step explanation:

1 Lb = 16 Oz

40 Lb • 16 Oz = 640 Oz

hope this helps

Mark brainliest , pls

The data can be stored on the entire reel is 66,355,200 bits.

Conversion could appear difficult, but this tip will make it simple for you to convert any unit. The fundamental rule is to multiply when converting from a larger unit to a smaller unit. Divide if you need to go from a smaller to a larger unit.

We have,

The 6-inch segment of tape stores 4608 bits of data.

Now, length of of reel = 1200 feet

= 1200 x 12

= 14,400 inch

So, the data that can be stored in reel

= 14,400 x 4608

= 66,355,200 bits

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