(p²qr + pq²r + pqr²)(-pq + qr - pr)
Please solve this problem as soon as possible.​

Answer:

$16.65

Step-by-step explanation:

333.00 divided by 0.20

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Answer:

y = 3/5x + 17/5

Step-by-step explanation:

m = 3/5

b = 17/5

Answer: Look below :D

Step-by-step explanation:

Since a slope perpendicular to another slope will mean that it is the negative reciprocal:

-5/3's negative reciprocal = 3/5.

Now we have completed 2 of 3 factors:

y = 3/5x + b

Now, with the given point, we plug in what we have:

y = 3/5x + b --> 1 = (3/5 * -4) + b

1 = -12/5 + b (let's convert everything to over 5)

5/5 = -12/5 + b

5/5 + 12/5 = b

17/5 = b

b = 17/5

The reason why I didn't do b/5 is because that would actually change the value of the equation.

Let's check:

y = 3/5x + 17/5 (Plug in the coordinates)

1 = (3/5)(-4) + 17/5

1 = -12/5 + 17/5

1 = 5/5

1 = 1

That is correct. Please consider making me Brainliest.

Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

Answer:

\(\displaystyle m=\frac{2}{25}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (200, 14)

Point (225, 16)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

a. f(-1)=12

b. f(2t)=16t²-6t+5

c. f(t-2)=4t²-19t+27

Step-by-step explanation:

For a, b, c, we are given an input. We plug that into f(x) to find our answers.

a.  f(-1)=12

f(-1)=4(-1)²-3(-1)+5

f(-1)=4+3+5

f(-1)=12

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

b. f(2t)=16t²-6t+5

f(2t)=4(2t)²-3(2t)+5

f(2t)=4(4t²)-6t+5

f(2t)=16t²-6t+5

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

c. f(t-2)=4t²-19t+27

f(t-2)=4(t-2)²-3(t-2)+5

f(t-2)=4(t²-4t+4)-3t+6+5

f(t-2)=4t²-16t+16-3t+6+5

f(t-2)=4t²-19t+27

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Given: Line segment AC and line segment BD intersect at O.

Prove: ∠AOB ≅ ∠COD

By the supplementary angles property, the equations are given as,

∠AOB + ∠BOC = 180°            .....1

∠BOC + ∠COD = 180°            ....2

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

Answer: By the congruent complements theorem

Step-by-step explanation: I took the test

The y-intercept of the line representing Beatrice's monthly music is 20

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

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

Read more about intercept at

https://brainly.com/question/24363347

#SPJ9

Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

The solution to the piecewise-defined function is shown in the attached graph.

The function g(x) is defined as follows:

g(x) = -4     if x ≠ 0

g(x) = 5       if x = 0

On the graph, when x is any value other than 0, the function takes the value of -4. This means that there will be a horizontal line at y = -4 for all x ≠ 0. The point (0, 5) will be represented by a solid dot since it's the only point where g(x) equals 5.

Learn more about piecewise function here:

https://brainly.com/question/27262465

#SPJ1

Answer:

\(\boxed{\sf \ \ x=-2, \ y=-3 \ \ }\)

Step-by-step explanation:

Hello,

I assume that you want to solve this system of two equations

   (1) 5x - y  = -7

   (2) 4x + 2y = -14

We will multiply (1) by 2 and add to (2) so that we can eliminate the terms in y

2*(1)+(2) gives

   10x - 2y + 4x + 2y = -7*2 -14 = -14 - 14 = -28

   <=>

   14x = - 28 we can divide by 14 both parts

   x = -28/14 = -2

and then we replace x in (1)

   5*(-2)-y=-7

   -10-y=-7 add 7

   -10-y+7=0

   -3-y=0 add y

   -3 = y

which is equivalent to y = -3

do not hesitate if you have any question

Answer:

x = -2, y = -3

Step-by-step explanation:

5x - y = -7

4x + 2y = – 14

Multiply the first equation by 2

2(5x - y) = 2*-7

10x -2y = -14

Add this to the second equation to eliminate y

10x -2y = -14

4x + 2y = – 14

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

14x = -28

Divide by 14

14x/14 = -28/14

x = -2

Now find y

4x+2y = -14

4*-2 +2y = -14

-8+2y = -14

Add 8 to each side

2y = -6

Divide by 2

2y/2 = -6/2

y = -3

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

#SPJ1

instantaneous rate of change of the search length 0.1667 seconds per

We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.

Taking the derivative of S(n) with respect to n using the chain rule, we get:

S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n

Evaluating this expression at n=12, we get:

S'(12) = 2/12 = 0.1667 seconds per article

This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.

Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.

know more about rate of change visit

https://brainly.com/question/12786410

#SPJ1

Answer:

1 ft

Step-by-step explanation:

1 yd ≈ 3 ft

88/3 = 29.333 = 29 1/3 yds

1/3 yd = 1 ft

Answer:

Step-by-step explanation:

There are

Answer:

the answer is 4x-7

Step-by-step explanation:

hope this helps!

Answer:

a) We can use Bayes' theorem to find the probability that a person has the virus given that they have tested positive:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B|A) is the probability of testing positive given that the person has the virus, P(A) is the prior probability of a person having the virus (1/300), and P(B) is the total probability of testing positive.

P(B|A) = 0.8 (given in the problem)

P(A) = 1/300

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

= 0.8 * 1/300 + 0.1 * 299/300 (using the law of total probability)

≈ 0.1033

Therefore,

P(A|B) = 0.8 * 1/300 / 0.1033

≈ 0.0245

So the probability that a person has the virus given that they have tested positive is about 2.5%.

b) Similarly, we can find the probability that a person does not have the virus given that they test negative:

P(A'|B') = P(B'|A') * P(A') / P(B')

where P(B'|A') is the probability of testing negative given that the person does not have the virus, P(A') is the prior probability of a person not having the virus (299/300), and P(B') is the total probability of testing negative.

P(B'|A') = 0.9 (given in the problem)

P(A') = 299/300

P(B') = P(B'|A') * P(A') + P(B'|A) * P(A)

= 0.9 * 299/300 + 0.2 * 1/300 (using the law of total probability)

≈ 0.9977

Therefore,

P(A'|B') = 0.9 * 299/300 / 0.9977

≈ 0.9978

So the probability that a person does not have the virus given that they test negative is about 99.8%.

Answer

B

Step-by-step explanation:

Is the answer !

Answer:

The answer is B

Step-by-step explanation:

YEAH its is, And god is GIOD

Answer:

4 is f and 5 is t

Step-by-step explanation:

Answer:

number 4 is true

number 5 is false

hope it helps :)

Answer:

a)

\(n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2\), in which z is related to the confidence level.

b) A sample size of 991 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent

This means that \(\pi = 0.16\)

a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).

This is n for which \(M = 0.03\). So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = z\sqrt{\frac{0.16*0.84}{n}}\)

\(0.03\sqrt{n} = z\sqrt{0.16*0.84}\)

\(\sqrt{n} = \frac{z\sqrt{0.16*0.84}}{0.03}\)

\((\sqrt{n})^2 = (\frac{z\sqrt{0.16*0.84}}{0.03})^2\)

\(n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2\), in which z is related to the confidence level.

Question b:

99% confidence level,

So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

\(n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2\)

\(n = (\frac{2.575\sqrt{0.16*0.84}}{0.03})^2\)

\(n = 990.2\)

Rounding up

A sample size of 991 is needed.

The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).

A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.

Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:

1 x 1 - 0 = 1

1 x 2 - 1 = 1

1 x 3 - 2 = 5

5 x 4 - 3 = 17

17 x  5 - 4 = 71

71 x 6 - 5 = 247

We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).

Find out more on recursive relations at https://brainly.com/question/4082048

#SPJ1

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

The sample space is (a) watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

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

2 watermelon, 3 lemon-lime, and 5 grape gumballs

Rewrite the items according to their frequencies

So, we have the following representation

watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

The above represents the sample space

Hence, the sample space is (a)

Read more about probability event at

https://brainly.com/question/10739997

#SPJ1

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

Learn more on probability:https://brainly.com/question/24756209

#SPJ1

Answer:

it would be a 85 percent

Step-by-step explanation:

The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

For more such questions on power expression, click on:

https://brainly.com/question/31189944

#SPJ8

The sum total by the given data is equals to $658,880.

We are given that;

Percent=15%

Amount= $98,880

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:

15% = 0.15

To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:

$98,880 / 0.15 = $98,880 x 1/0.15

To multiply by 100, we can move the decimal point two places to the right. This gives us:

$98,880 x 1/0.15 x 100 = $658,880

Therefore, by the percentage the answer will be $658,880.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

Given that

\(7x^5 - 6xy + 6y^2 = 272\)

differentiating both sides with respect to x (using the power, product, and chain rules) yields

\(35x^4 - 6x\dfrac{\mathrm dy}{\mathrm dx} - 6y + 12y\dfrac{\mathrm dy}{\mathrm dx} = 0\)

Solving for dy/dx gives

\(\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{6y-35x^4}{12y-6x}\)

This gives the slope of the tangent line to the curve at any point (x, y). In particular, the slope of the tangent to (2, 4) is

\(\dfrac{\mathrm dy}{\mathrm dx}(2,4) = \dfrac{6\cdot4-35\cdot2^4}{12\cdot4-6\cdot2} = \boxed{-\dfrac{134}9}\)

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

Learn more about percentage here:

https://brainly.com/question/24339661

#SPJ1

Answer:

a.) The classes are successful

b.) The classes might not be successful.

c.) Type 11 error

d.) Yes

E.) No

Step-by-step explanation:

C.)

This means that we failed to reject H0 when it is actually FALSE and in fact the classes are successful , that means mean μ > 100, that is: null hypothesis is False.

D.)

Type 1 error occurs when we incorrectly reject H0 ; that is we rejected H0, when it is true

Here, H0, means the classes aren't successful, hence, incorrectly rejecting H0 means we have committed a type 1 error

E.)

Type 11 error means failing to reject H0

;

Here, H0, means the classes aren't successful,

Hence, if we fail to reject H0 in this scenario, we are right, hence, there is no possibility of making a type 11 error in this scenario