Hello, I am having troubles with brainly I can't search anything because it just brings up the screen that no one has asked that question before or something along those lines. Thanks for reading.

The equation of a line that passes through the points (-4, 47) and (2, -16) is 21x + 2y - 10 = 0.

The standard form of a line is ax + by + c = 0. If the line passes through the points (x1, y1) and (x2, y2), the equation of the line is evaluated by

y - y1 = [(y2 - y1)/(x2- x1)] · (x - x1)

The given points are (-4, 47) and (2, -16).

The equation of the line that passes through these points is

y - 47 = (-16 - 47)/(2 + 4) × (x + 4)

⇒ y - 47 = -63/6 × (x + 4)

⇒ 6(y - 47) = -63(x + 4)

⇒ 6y - 282 = -63x - 252

⇒ 63x + 6y = 282 - 252 = 30

⇒ 21x + 2y = 10

Therefore, the required standard form of the line that passes through the given points is 21x + 2y - 10 = 0.

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In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer: 4.6+.5m=13.60 , m=18

Step-by-step explanation:

4.6+.5m=13.60

.5m=13.60-4.6

.5m=9

m=18

To estimate ∫402 using left endpoints for =5 approximating rectangles, we need to calculate the width and height of each rectangle.

The width of each rectangle is determined by dividing the total interval, in this case, 2, by the number of rectangles, which is 5. Therefore, the width of each rectangle is 2/5 = 0.4.

Next, we need to find the height of each rectangle. Since we are using left endpoints, we evaluate the function at the left endpoint of each rectangle. In this case, the left endpoints are 40, 40.4, 40.8, 41.2, and 41.6.

Now, we calculate the height of each rectangle by evaluating the function, which is 2x, at these left endpoints. The height of each rectangle is: 2(40) = 80, 2(40.4) = 80.8, 2(40.8) = 81.6, 2(41.2) = 82.4, and 2(41.6) = 83.2.

Finally, we multiply the width and height of each rectangle and sum them up to estimate the value of the integral.

The estimate for ∫402 using left endpoints for 5 approximating rectangles is: 0.4(80) + 0.4(80.8) + 0.4(81.6) + 0.4(82.4) + 0.4(83.2) = 329.6.

In conclusion, ∫402 is approximately 329.6 when using left endpoints for 5 approximating rectangles.

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Answer:

i didn't understand what your question is

For provide normal distribution such that

x ~ n(15, 3), 68.27% of the data lie between the values of x as x= 12 to x= 18 .The range of x-values is centered around the mean of the distribution (that is, 15).

Normal Probability:

This problem uses the Z-score formula to calculate the range such that 68.27% of the data falls within the range. Z-scores are normal scores, plotted on a normal curve with mean 0 and variance 1. The Excel function NORM.S.INV() is used to get the score value.

We have given that

Mean, μ = 15

Standard deviation, σ = 3

P( a <X<b) = 0.6827

P( (a − μ)/(σ < X − μ )/σ <(b− μ)σ) = 0.6827

P ( a- 15) /3 < Z < (b- 15)/3) = 0.6827

P( Z< (b-15)/3) - P( Z< ( a - 15)/3) = 0.6827

1 - P( Z > (b-15)/3) - P( Z< ( a - 15)/3) = 0.6827

(Symmetrical Property)

We know that,

P( Z> (b-15)/3) = P( Z< ( a - 15)/3) ( symmetric)

2 × P( Z< ( a - 15)/3) = 0.3173

P( Z< ( a - 15)/3) = 0.15865

Now,

Excel function for the value of z score:

=NORM.S.INV(0.15865)

(a − 15)/3 = -1.00

=> a-15 = -3

=> a = 12 and b = 15 + 3 = 18

Hence, the values of x are 12 and 18 where 68.27% data lie.

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Answer:

-y+6

Step-by-step explanation:

-3 (y+2) +2y

-3y -6 +2y

-y+6

Answer:

-y-6

Step-by-step explanation:

 The 32 ways to get a five-card combination containing two jacks and three aces.

(a) A full house consists of three of one kind and two of another kind. Therefore, there are 13 different choices for the rank of the triplet and 4 cards of the same rank. Once the triplet has been chosen, there are 12 choices for the rank of the pair and 4 cards of the same rank. Therefore, the number of ways to get a full house is as follows:$${13}{\times}{4}{\times}{12}{\times}{4}={7488}$$Therefore, there are 7488 ways to get a full house.(b) In this case, the two jacks and three aces must be chosen out of the 4 jacks and 4 aces in the deck. Therefore, the number of ways to get a five-card combination with two jacks and three aces is as follows:$$\frac{{4\choose2}{4\choose3}{44\choose0}}{5!}={32}$$Therefore, there are 32 ways to get a five-card combination containing two jacks and three aces.

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1000 cubic millimeters are in a cubic centimeter.

'What is cubic centimeter?'

There are 1000 cubic millimeters in one cubic centimeter (cm³) (mm³). Add 1000 to the cubic cm number to convert it to cubic mm.

For instance, multiplying 10 by 1000 results in 10000 mm3, or how many cubic mm there are in 10 cubic cm.

The volume of small items is measured in cubic centimeters, a tiny unit of measurement. Discover standard units of measurement, the definition of cubic centimeters, how to convert them, and how to measure volume using cubic centimeters. A little cube with sides that are 1 cm long occupies the same amount of space as a cubic centimeter.

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a). Dean would need to deposit approximately $225,158.34.

b). Dean will receive a total amount of $420,000 from his payout annuity over the 25-year period.

To calculate the initial deposit amount, we can use the formula for the present value of an annuity:

\(PV=\frac{P}{r}(1-\frac{1}{(1+r)^n})\)

Where:

PV = Present value (initial deposit)

P = Monthly payout amount

r = Monthly interest rate

n = Total number of monthly payments

Substituting the given values:

P = $1,400 (monthly payout)

r = 7.3% / 12 = 0.0060833 (monthly interest rate)

n = 25 years * 12 months/year = 300 months

Calculating the present value:

\(PV=\frac{1400}{0.006833}(1-\frac{1}{(1+0.006.833)^{300}})\)

PV ≈ $225,158.34

Therefore, Dean would need to deposit approximately $225,158.34 initially to receive $1,400 per month for 25 years with an interest rate of 7.3% compounded monthly.

To find the total amount Dean will receive from his payout annuity, we can multiply the monthly payout by the total number of payments:

Total amount = Monthly payout * Total number of payments

Total amount = $1,400 * 300

Total amount = $420,000

Therefore, Dean will receive a total amount of $420,000 from his payout annuity over the 25-year period.

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Complete Question:

Dean Gooch is planning for his retirement, so he is setting up a payout annunity with his bank. He wishes to recieve a payout of $1,400 per month for 25 years.

a). How much money must he deposits if has earns 7.3% interest compounded monthly?(Round your answer to the nearest cent.

b). Find the total amount that Dean will recieve from his payout annuity.

The piecewise function that represent the graph is A)f(x)=\(\left \{{ x^3 ,if{x < 1} \atop x,if {x\ge1}} \right.\).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

In considering the definition of any piecewise function, the domain descriptions in the function definition must match the pieces shown in the graph.

Here, the right segment has no upper bound, so x > 1 is an appropriate description of its domain.

The left segment also has no upper bound , so x\(\ge\) 1is an appropriate description of its domain.

The one answer choice that combines these domain descriptions is

A)f(x)=\(\left \{{ x^3 ,if{x < 1} \atop x,if {x\ge1}} \right.\)

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Answer:

Yes its all of the above or jsut rational

If right please make brainleist for others to learn from this answer thanks!

Step-by-step explanation:

The value of the integral C1 and C2 are below:

∫[C1] (y + x – 4ix³) dz = -1/2 + 4/3 i

∫[C2] (y + x – 4ix³) dz = 0

To evaluate the integral, we need to parameterize the given contour C and express it as a function of a single variable. Then we substitute the parameterization into the integrand and evaluate the integral with respect to the parameter.

Let's evaluate the integral along contour C1: the straight line from Z = 0 to Z = 1 + i.

Parameterizing C1:

Let's denote the parameter t, where 0 ≤ t ≤ 1.

We can express the contour C1 as a function of t using the equation of a line:

Z(t) = (1 - t) ×0 + t× (1 + i)

= t + ti, where 0 ≤ t ≤ 1

Now, we'll calculate the differential dz/dt:

dz/dt = 1 + i

Substituting these into the integral:

∫[C1] (y + x – 4ix³) dz = ∫[0 to 1] (Im(Z) + Re(Z) - 4i(Re(Z))³)(dz/dt) dt

= ∫[0 to 1] (t + 0 - 4i(0)³)(1 + i) dt

= ∫[0 to 1] (t + 0)(1 + i) dt

= ∫[0 to 1] (t + ti)(1 + i) dt

= ∫[0 to 1] (t + ti - t + ti²) dt

= ∫[0 to 1] (2ti - t + ti²) dt

= ∫[0 to 1] (-t + 2ti + ti²) dt

Now, let's integrate each term:

∫[0 to 1] -t dt = [-t²/2] [0 to 1] = -1/2

∫[0 to 1] 2ti dt = \(t^{2i}\)[0 to 1] = i

∫[0 to 1] ti² dt = (1/3)\(t^{3i}\) [0 to 1] = (1/3)i

Adding the results together:

∫[C1] (y + x – 4ix³) dz = -1/2 + i + (1/3)i = -1/2 + 4/3 i

Therefore, the value of the integral along contour C1 is -1/2 + 4/3 i.

Let's now evaluate the integral along contour C2: along the imaginary axis from Z = 0 to Z = i.

Parameterizing C2:

Let's denote the parameter t, where 0 ≤ t ≤ 1.

We can express the contour C2 as a function of t using the equation of a line:

Z(t) = (1 - t)× 0 + t × i

= ti, where 0 ≤ t ≤ 1

Now, we'll calculate the differential dz/dt:

dz/dt = i

Substituting these into the integral:

∫[C2] (y + x – 4ix³) dz = ∫[0 to 1] (Im(Z) + Re(Z) - 4i(Re(Z))³)(dz/dt) dt

= ∫[0 to 1] (0 + 0 - 4i(0)³)(i) dt

= ∫[0 to 1] (0)(i) dt

= ∫[0 to 1] 0 dt

= 0

Therefore, the value of the integral along contour C2 is 0.

In summary:

∫[C1] (y + x – 4ix³) dz = -1/2 + 4/3 i

∫[C2] (y + x – 4ix³) dz = 0

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Answer:

$3.60 per gallon.

Step-by-step explanation:

First, we look for the gallon of gas that will be used for a 172.5 mile trip:

30 miles = 1 gallon of gas

172.5 miles = ?

172.5 ÷ 30 = 5.75 gallons of gas

Let's find the approximate cost of gas in dollars per gallon:

5.75 gallons of gas = $20.70

1 gallon of gas = $?

20.70 ÷ 5.75 = $3.60

The answer is $3.60 per gallon.

A. Tree diagram - Please refer to the tree diagram provided below.

B. Probability of winning both contracts: 0.26

C. Probability of winning exactly one contract: 0.32

D. Probability of winning at least one contract: 0.58

A. Here is a tree diagram representing the given information  -

        Contract A

        /       \

     0.3         0.7

   /               \

Winning            Losing

Contract A         Contract A

   |                  |

   V                  V

Contract B         Contract B

(0.4)              (0.2)

B.

Probability of winning   both contracts = (Probability of winning contract A) * (Probability of winning contract B if contract A is won) +(Probability of losing contract A) * (Probability of winning contract B if contract A is lost)

  = (0.3) * (0.4)   + (0.7) * (0.2)

  = 0.12+ 0.14

  = 0.26

C.

Probability of winning exactly one contract = (Probability of winning contract A) *   (Probability of losing contract B if contractA is won) + (Probability of losing contract A) * (Probability of winning contract B if contract A is lost)

  = (0.3) * (0.6) + (0.7) * (0.2)

  = 0.18 + 0.14

  = 0.32

D.

Probability of   winning at least one contract = Probabilityof winning both contracts + Probability of winning exactly one contract

  = 0.26 + 0.32

  = 0.58

hence,the probability of winning at least one contract is 0.58.

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The name for a data value that is far above or below the rest of the data values is called an outlier. This is a value that is considerably distinct from the others in a set of data, indicating a probability or error in the measurement or computation of the data values.

The box-and-whisker plot is a graph that can be used to identify outliers and the location of the median, quartiles, and other statistical data points. The line plot, scatter plot, and histograms are some other graphical representations that help identify outliers when analyzing datasets. Additionally, outliers that are considered extreme or significant are often removed when calculating statistics like mean or standard deviation in order to avoid skewing the results.

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Answer:

It is one-many relation.

Step-by-step explanation:

Every element or x-compound is more than y- compound.

I hope you understand

Mark me as brainliest.

It is a relation of one to many. More than y- compound is every element or x-compound. Therefore, the domain of the set is {1,5,7,2,8,3,5} and the range of the set is {8,3,6,2,4,9,7}

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Answer: 3 47/126

Step-by-step explanation: You have to find the common denominator to make the problem easy and make sense. I highly recommend using a fraction calculator if you aren't sure how to do it.

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

In conclusion  the number of adult and child tickets sold was 68, and the number of senior tickets sold was 25. The solution tells us that 68 adult and child tickets and 25 senior tickets were sold for the movie. The total amount collected was $1270.

How to solve?

Part A:

The system of equations that represents the situation is:

a + s = 93 (total number of tickets sold)

15a + 10s = 1270 (total amount collected in dollars)

Part B:

Using the substitution method, we can solve for one variable in terms of the other in the first equation and substitute it in the second equation, then solve for the remaining variable.

From the first equation, we get:

a = 93 - s

Substituting this in the second equation, we get:

15(93-s) + 10s = 1270

Simplifying the above equation, we get:

1395 - 5s = 1270

Subtracting 1395 from both sides, we get:

-5s = -125

Dividing both sides by -5, we get:

s = 25

Substituting s=25 in the equation a + s = 93, we get:

a + 25 = 93

Subtracting 25 from both sides, we get:

a = 68

Therefore, the number of adult and child tickets sold was 68, and the number of senior tickets sold was 25.

Part C:

To check our solution, we can substitute a=68 and s=25 in both equations and verify if they are true.

a + s = 93

68 + 25 = 93 (true)

15a + 10s = 1270

15(68) + 10(25) = 1270 (true)

Part D:

The solution tells us that 68 adult and child tickets and 25 senior tickets were sold for the movie. The total amount collected was $1270.

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Answer:

52 miles per hour

Step-by-step explanation:

I think you're missing some info, so this is all I can help with right now

The four angles in a quadrilateral always add up to 360 degrees. To divide the quadrilateral into two triangles, we can draw a diagonal that connects any two non-adjacent vertices of the quadrilateral. This diagonal splits the quadrilateral into two triangles, each with three angles. The sum of the angles in each triangle is always 180 degrees.

In the first triangle formed by the diagonal, let's denote the three angles as A, B, and C. In the second triangle, the angles will be D (the reflex angle), B, and C. Since angles B and C are common to both triangles, they cancel each other out when calculating the total sum.

Therefore, the sum of angles A, B, C, and D is equal to A + D. Since the sum of angles in each triangle is 180 degrees, the sum of the four angles in the quadrilateral is 2(180) = 360 degrees.

In conclusion, dividing a quadrilateral with a reflex angle into two triangles by drawing a diagonal helps demonstrate that the sum of the angles in the quadrilateral remains constant at 360 degrees.

This property holds true for all quadrilaterals, regardless of the size or shape of their angles.

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Answer:

11 1/4 teaspoons

Step-by-step explanation:

So 3/4 + 1 1/2 teaspoons are in one pot, which means 5(3/4 + 1 1/2) teaspoons are in 5 pots.

5(3/4 + 1 1/2)

5(2 1/4)

10 5/4

11 1/4

Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is, 45 / 4

We have to given that,

A chef added 3/4 teaspoon of pepper and 1 1/2 teaspoons of salt to each pot of spaghetti sauce.

Here, Total amount of pepper and salt for each pot of spaghetti sauce is,

3/4 + 1 1/2

3/4 + 3/2

Make denominator same by taking LCM of 4,2 which is 4.

3/4 + 6/4

(3 + 6) / 4

9/4

Therefore, Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is,

5 x 9/4

45 / 4

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When the line of slope of 3 passes through two points, the value of y is -8.

The slope or gradient of a line in mathematics is a number that describes both the direction and the steepness of the line. The slope of a line indicates its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope is a numerical value that describes the steepness of a line and is typically calculated by dividing the vertical distance by the horizontal distance (rise over run) between two points.

Here,

m=3

m=(y2-y1)/(x2-x1)

3=(y+5)/(-3+(2))

-3=y+5

y=-8

The value of y is -8 when the line of slope of 3 is passing through 2 points as given.

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Answer:

Line symmetry

Step-by-step explanation:

If you drew a straight line across the figure horizontally, you would see that both halves are symmetrical.

Answer: 56% of them

Step-by-step explanation:

Answer::))

Step-by-step explanation:xong r

"____

Step-by-step explanation:

............solution