Write the slope intercept form equation of the line that passes through the point (4,3) and is parallel to y=5/4x+1

Answer:

\(Probability = \frac{1}{5}\) or \(Probability = 0.2\)

Step-by-step explanation:

Given

\(Black = 25\)

\(White = 35\)

\(Red = 40\)

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

\(Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)\)

Convert to mathematical expressions

\(Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]\)

Solve for each probaility;

\(P(Black) = \frac{Black}{Total} = \frac{25}{100}\)

\(P(Red) = \frac{Red}{Total} = \frac{40}{100}\)

So, we have:

\(Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]\)\(Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]\)

\(Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]\)

\(Probability = [\frac{1}{10}] + [\frac{1}{10}]\)

\(Probability = \frac{1+1}{10}\)

\(Probability = \frac{2}{10}\)

\(Probability = \frac{1}{5}\)

or

\(Probability = 0.2\)

In functions; translations are used to move lines, points or shapes across the graph (i.e. up, down, right or left).

The translation from \(y = (x - 5)^2 +5\) to \(y = (x - 0)^2 +0\) is to shift \(y = (x - 5)^2 +5\) to the left by 5 units and then downward by 5 units

The given parameters are:

\(y = (x - 5)^2 +5\)

\(y = (x - 0)^2 +0\)

Assume the first point is: \(y = (x - 5)^2 +5\)

While the second is: \(y = (x - 0)^2 +0\)

The first point is first shifted left by 5 units

The rule to this translation is: \((x,y) \to (x + 5,y)\)

So, we have:

\(y' = (x - 5 + 5)^2 + 5\)

\(y' = (x - 0)^2 + 5\)

Next, the resulting function is shifted down by 5 units.

The rule to this translation is: \((x,y) \to (x,y- 5)\)

So, we have:

\(y" = y' - 5\)

This gives:

\(y" = (x - 0)^2 + 5 - 5\)

\(y" = (x - 0)^2 + 0\)

Hence, the translation from \(y = (x - 5)^2 +5\) to \(y = (x - 0)^2 +0\) is to shift \(y = (x - 5)^2 +5\) to the left by 5 units and then downward by 5 units

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The strength of binding between an inhibitor and an enzyme can depend on several factors, including molecular geometry and charges.

In this case, it is likely that the structure of the inhibitor allows it to fit more snugly into the active site of the enzyme, forming more extensive hydrogen bonds and other non-covalent interactions with the amino acid residues of the enzyme. Additionally, the inhibitor may have specific charge interactions with residues in the active site that are not present with the natural substrate. These interactions can increase the binding energy between the inhibitor and the enzyme, resulting in a stronger binding affinity than that between the substrate and the enzyme.

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Answer:

1408 packs

2 pens left over

Step-by-step explanation:

5634 / 4 = 1,408.5

half a pack is 2 pens

1408 packs

2 pens left over

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

7 Cows and 8 Chickens

Step-by-step explanation:

Note that cows have four legs each and chickens have two legs each.

if there were only cows, then 15 cows times 4 legs for each cow would give 15 x 4 = 60 legs. 60 is greater than 44, so some (maybe all) of the animals are chickens.

If there were only chickens, then 15 chickens times 2 legs for each chicken would give 15 x 2 = 30 legs. 30 is less than 44, so we have confirmed that there is a mixture of both cows and chickens on the farm.

One approach would be to build a table of possibilities:

Total legs will equal number of cows times 4 plus number or chickens times 2 and we know the total number of animals is 15, so we keep cows plus chickens equal to 15 and just keep adding a cow and subtracting a chicken and do the math until.we get 44 legs. We know that it will take less than 13 tries, since we already ruled out 15 cows or 15 chickens. We'll start with 1 cow and 14 chickens and go from there

1 Cow + 14 Chickens = (1 x 4) + (14 x 2) = 4 + 28 = 32 legs

2 Cows + 13 Chickens = (2 x 4) + (13 x 2) = 8 + 26 = 34 legs

3 Cows + 12 Chickens = (3 x 4) + (12 x 2) = 12 + 24 = 36 legs

4 Cows + 11 Chickens = (4 x 4) + (11 x 2) = 16 + 22 = 38 legs

5 Cows + 10 Chickens = (5 x 4) + (10 x 2) = 20 + 20 = 40 legs

6 Cows + 9 Chickens = (6 x 4) + (9 x 2) = 24 + 18 = 42 legs

7 Cows + 8 Chickens = (7 x 4) + (8 x 2) = 28 + 16 = 44 legs

We can stop here because we can see that 7 Cows and 8 Chickens have a total of 44 legs.

Another way to approach this is to use algebra and to make is shorter to write we can assign a variable to each item and relate them in some way.

Let's use the letter x to stand for cows and the letter y to stand for chickens so we don't have to keep writing chickens and cows. x and y are just common letters to use, by the way, could use w and k perhaps since cow has a w and chicken has a k...sadly they both start with c, so we can't use that for both.

We know a couple different, but related, things.

One thing we know is that the total number of animals is 15. We can write that as:

x + y = 15

That means cows (x) plus chickens (y) equals 15.

A second thing we know is that the total number of legs is 44. We can write that as

4x + 2y = 44

That means 4 times x (cow) plus 2 times y (chicken) is equal to 44 since each cow has 4 legs and each chicken has 2 legs.

Since we now have two related equations and two variables we can solve for the variables.

If we take the first equation and rearrange it, by subtracting x from both sides, we can see that one way to do it is the following

y = 15 - x

That means the number of chickens (y) is equal to 15 minus the number of cows (x). As long as we do the same thing on both sides of the equals sign the equation is still.equal...you will see this again below.

Now we can then substitute 15 - x for y in the second equation and then all we have is x in that equation. (We can do this because y is equal to 15 minus x...they both have the same value and mean the same thing...they are equal to each other)

4x + 2(15 - x) = 44

As you can see, we now have 2 times 15 minus x where we had 2 times y before. If we multiply the 2 through we get because 2 times 15 is 30 and 2 times x is 2x

4x + 30 - 2x = 44

We can subtract the 2x from 4x and we get

2x + 30 = 44

Now we can subtract 30 from both sides of the equation because as long as we do the same thing on both sides of the equals sign the equality holds true

2x + 30 - 30 = 44 - 30

30 minus 30 is zero and 44 minus 30 is 14 so now we have

2x = 14

If we divide both sides by two, we still maintain the equality and we get x on one side as 2x divided by 2 is 1x or just x and we get 7 on the other side as 14 divided by 2 is 7

x = 7

That means we have 7 Cows as x represents cows, so half the problem solved

If we now go back to our first equation,

x + y = 15

We can replace x with 7 and get

7 + y = 15

We can subtract 7 from both sides and maintain the equality and isolate y

7 - 7 + y = 15 - 7

Again, 7 minus 7 is zero so we have isolated y and 15 minus 7 is 8

y = 8

This means we have 8 Chickens since y represents chickens

Once again we have shown that Old MacDonald has 7 Cows and 8 Chickens

B. squares due to error (SSE) is the correct option.

What is squares due to error (SSE)?

Sum Squared Error (SSE) is an accuracy metric that squares the mistakes before adding them. When the data points are of equal magnitude, it's utilised to assess the forecasting model's accuracy. The forecast is more precise the lower the SSE. Choosing the forecasting model that best suits your data will be made easier for you if you are aware of this accuracy statistic.

The sum of squares due to error (SSE) is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.

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Answer:

Nope//////

Step-by-step explanation:

sjfConversion a mixed number 3 1

3

to a improper fraction: 3 1/3 = 3 1

3

= 3 · 3 + 1

3

= 9 + 1

3

= 10

3

To find new numerator:

a) Multiply the whole number 3 by the denominator 3. Whole number 3 equally 3 * 3

3

= 9

3

b) Add the answer from previous step 9 to the numerator 1. New numerator is 9 + 1 = 10

c) Write a previous answer (new numerator 10) over the denominator 3.

Three and one third is ten thirds

3 · 1

= 50

3

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(50, 3) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - ten thirds multiplied by five = fifty thirds.

Answer:

Rotation of 180 degrees, either direction

Dilation, making it smaller by some factor(we aren't given measurements so we cannot be exact)

Then move the figure to the right and then move the figure up

Step-by-step explanation:

Answer:

48,236.7

Step-by-step explanation:

40,000 + 8,000 + 200 + 30 + 6 + 7/10

7/10 can also be written .7

The x and y-intercepts of the rational function are; (-3, 0) and (0, -3/25).

The vertical asymptotes of the function are; x = ± 5.

The horizontal asymptotes of the function is f(x) = 0.

For x-intercept; let f (x) = 0;

0 = (x + 3) / (x² - 25)

x + 3 = 0; x = -3 or (-3, 0).

For the y-intercept; let x = 0.

f (0) = (0 + 3) / (0² - 25)

= -3/25 or (0, -3/25).

For the vertical asymptotes;

x² - 25 = 0

x² = 25

x = ±5.

For the horizontal asymptote;

Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is; f (x) = 0.

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Answer:

16801.2cm²

Step-by-step explanation:

Cone :

SA = πrl

SA = π · 28 ·  45                     90-45 = 45

SA = 3958.406744

Cylinder :

SA = 2 · π · r · ( r+h)

SA = 2 · π · 28 ( 28 +45 )

SA = 2 · π · 28 (73)

SA = 12842.83077

12842.83077 + 3958.406744 =

16801.2cm²

Answer:

12.6 m^2

Step-by-step explanation:

area of sector = 90/360 × 3.14 × 4^2

= 12.56

to the nearest tenth = 12.6 m^2

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} \theta =\stackrel{\textit{in degrees}}{angle}\\ r=radius\\[-0.5em] \hrulefill\\ \theta =270\\ r=4 \end{cases}\implies A=\cfrac{(270)(\stackrel{\pi }{3.14})(4)^2}{360}\implies \underset{\textit{rounded up}}{A\approx 37.7}\)

Answer:

A= 20

B= 6

Step-by-step explanation:

A= 5 times 4= 20

B= 24/4= 6

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The two-way ANOVA computed illustrates that the number of treatments in this experiment is 36.

From the information given, it was stated that in the ANOVA, there are 4 levels for factor A, 3 levels for factor B, and 3 observations within each of the 12 factor combinations.

Therefore, the number of treatments in this experiment will be calculated thus:

= Number of levels for A × Number of levels for B × Number of observations

= 4 × 3 × 3

= 36

In conclusion, the number of treatments is 36.

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The angle θ is changing is 36.9 degrees per second.

The distance between the dog and its owner when the dog is 46 meters at the northernmost point of the track.

As per the question, the circumference of the circular track is

⇒ 2 × 3.14 × 14 = 87.92 meters.

Since the dog is running at a constant speed of 9 meters per second, it will take the dog 87.92 / 9 = 9.77 seconds to complete one lap of the track.

The angle θ is defined as the angle between the position of the dog and the position of the owner, measured from the center of the track.

Since the track is circular, the angle theta will change at a constant rate of 360 degrees per lap. Since it takes the dog 9.77 seconds to complete one lap, the rate at which the angle θ is changing is 360 / 9.77 = 36.9 degrees per second.

To answer the second question, we must first calculate the distance between the dog and its owner when the dog is at the northernmost point of the track.

The owner is standing a distance of 48 meters from the center of the track, and the radius of the track is 14 meters, the distance between the dog and its owner is given by the Pythagorean theorem: d = √(48² - 14²) = 46 meters.

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

I think the first one is the answer

Answer:

C

Step-by-step explanation:

All sides of a square are equal.

Answer:

C) 77

Step-by-step explanation:

77 times 2= 154

200-154= 46

Answer:

− 25 /27

Step-by-step explanation:

Answer:

-25/27

Step-by-step explanation:

get fraction calculator plus very helpful on Android and Apple

Answer:

I'm pretty sure the answer is B.

Step-by-step explanation:

Hope this helps u out!

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:

ok so they test 7 components so the probity of getting a bad one for each is 0.2 so we just multiply this 7 times

0.2*0.2*0.2*0.2*0.2*0.2*0.2=0.0000128

Hope This Helps!!!

The required probability will be 0.0000128 that the first defect is found in the seventh component tested.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given that a company ships computer components in boxes that contain 50 items.

Assume that the probability of a defective computer component is 0.2.

As per the given condition, the required solution would be as:

They test seven components, and the probability of obtaining a defective one for each is 0.2, so we just multiply this by seven.

⇒ 0.2×0.2×0.2×0.2×0.2×0.2×0.2

⇒ 0.0000128

Thus, the required probability will be 0.0000128 that the first defect is found in the seventh component tested.

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Let's determine the measure of the largest angle formed in the diagram.

We get,

Therefore, the measure is 95°

Answer:

j=k.m×1/p

j=k.m/p

32=k × 2/4.1

32=2k/4.1

2k=32×4.1

k=(32×4.1)÷2

k=65.6

therefore constant variation K=65.6

Answer:

A. 4

Step-by-step explanation:

Correct on edge 2021!!!