PLEASE HELP I DONT GET THISS HELPPP

PLEASE HELP I DONT GET THISS HELPPP

Answers

Answer 1
(-2,1) and second one is (-4,-2)
Answer 2
(-2,1) and (0,-2) these are the answers for the coordinates

Related Questions

If I get 10 dollars a week how much money will I have saved up in 9-years I WILL GIVE 55 POINTS

Answers

Answer:

$4,680

Step-by-step explanation:

Rate : 10 dollars a week

Per year : 10 x 52 = $5209 x 520 = $4,680

You will have saved up $4,680 in 9 years.

Maya throws a rock
straight up from the edge
of a 192-foot cliff and into
the ocean. After two
seconds, the rock
reaches a maximum
height of 256 feet. Four
seconds later, the rock
enters the ocean
Write an equation to
model the scenario.

Answers

Answer:

Step-by-step explanation:

2.256 = 4x

So first Maya throws the rock from the 192-foot cliff into the ocean.

After 2 seconds, the rock reaches a maximum height of 256 feet;

so 2 seconds, 256 feet - 2.256

After 4 seconds, the rock reaches the ocean.

so 4  seconds, it reaches the ocean but we don't know how many feet. ( x )-- 4 seconds, x feet.equation: 2 . 256 = 4 . x

Good luck!

The required equation that represents the scenario is x = 64 * 2 + 256 * 4

Given that,
Maya throws a rock straight up from the edge of a 192-foot cliff and into the ocean. After two seconds, the rock reaches a maximum height of 256 feet. Four seconds later, the rock enters the ocean. To write an equation to model the scenario.

What is the equation?

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
let the total distance covered by the rock vertically be x,
now,
Distance traveled by the rock vertical upward in 2 seconds = 2 * (256 - 192)
                                                                                          = 2 * 64
Distance traveled by the rock vertical downward in 4 seconds = 4 * 256
Total distance,
x = 2 * 64 + 4 * 256

Thus, the required equation that represents the scenario is x = 64 * 2 + 256 * 40.

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I need help finding the rate of change can someone help me

I need help finding the rate of change can someone help me

Answers

Answer:

rate of change is 4.

Step-by-step explanation:

rate of change is the slope, so, pick any two relations given to us in the table.

(-3, -14) and (-1, -6).

slope = y2 - y1/ x2 - x1

slope = -6 - (-14)/-1-(-3)

slope = 8/2 = 4.

the rate of change is 4.

Help!!!!!!!!!!!!!!!!!
Plz help me :)

Help!!!!!!!!!!!!!!!!!Plz help me :)

Answers

Answer:

a) 121,000

b)8.35 x 10^-6

Step-by-step explanation:

how to calculate rate of reaction from absorbance and time

Answers

The rate of reaction can be calculated by measuring the change in absorbance over time using the Beer-Lambert Law and applying the formula R = ΔA / Δt.

In order to calculate the rate of reaction from absorbance and time, we need to use the Beer-Lambert Law and measure the absorbance of the reaction mixture at different time intervals.

The Beer-Lambert Law states that the absorbance of a substance is directly proportional to its concentration and the path length of the light through the substance. Mathematically, it can be expressed as:

A = εcl

Where:

A is the absorbanceε is the molar absorptivity (a constant for a given substance)c is the concentration of the substancel is the path length of the light through the substance

To calculate the rate of reaction, we need to measure the absorbance of the reaction mixture at different time intervals. Let's say we have absorbance values A1 and A2 at times t1 and t2 respectively.

The change in absorbance (ΔA) can be calculated as:

ΔA = A2 - A1

The change in time (Δt) can be calculated as:

Δt = t2 - t1

The rate of reaction (R) can then be calculated as:

R = ΔA / Δt

This gives us the rate of reaction in units of absorbance per time (e.g., absorbance per minute or absorbance per second).

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The required steps to calculate the rate of reaction from absorbance and time have been explained.

To calculate the rate of reaction from absorbance and time data, follow these steps: Obtain absorbance readings (A) at specific time intervals during the reaction.


Determine the change in absorbance (∆A) by subtracting the initial absorbance from the final absorbance. Determine the change in time (∆t) between the initial and final time points.

Calculate the rate of reaction using the formula:

Rate = ∆A / ∆t

Adjust the rate if necessary by considering the path length (l) of the cuvette and the molar absorptivity (ɛ) of the reacting species, using the Beer-Lambert Law equation, A = ɛcl.

It's important to note that the compact solution still requires the necessary measurements and calculations. However, the key steps are outlined succinctly for your reference.

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Find the nth derivative of each function by calculating the first few derivatives and observing the pattern that occurs.(a) f(x)=xnf(x)=xn.(b) f(x)=1xf(x)=1x.

Answers

a) The nth derivative for f(x) = xⁿ is n!.

b) The nth derivative for expression f(x) is (-1)^(n+1) * n! / x^(n+1).

(a) f(x) = xⁿ:

To find the nth derivative of f(x) = xⁿ, we can start by calculating the first few derivatives and looking for a pattern:

f(x) = xⁿ

f'(x) = n x^(n-1)

f''(x) = n(n-1)x^(n-2)

f'''(x) = n(n-1)(n-2)x^(n-3)

...

From this pattern, we can observe that the nth derivative of f(x) is given by:

f ⁿ(x) = n(n-1)(n-2)...(n-(n-1)) x^(n-n)

f ⁿ(x) = n!

Therefore, the nth derivative of f(x) = xⁿ is n!.

(b) f(x) = 1/x:

To find the nth derivative of f(x) = 1/x, we can again start by calculating the first few derivatives and observing the pattern:

f(x) = 1/x

f'(x) = -1/x^2

f''(x) = 2/x^3

f'''(x) = -6/x^4

f''''(x) = 24/x^5

...

From this pattern, we can observe that the nth derivative of f(x) alternates between positive and negative values, and is given by:

f ⁿ(x) = (-1)^(n+1) * n! / x^(n+1)

Therefore, the nth derivative of f(x) = 1/x is (-1)^(n+1) * n! / x^(n+1).

In summary, to find the nth derivative of a function, we can start by calculating the first few derivatives and looking for a pattern. Once we have identified the pattern, we can use it to derive a formula for the nth derivative of the function.

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PLS HELP AND EXPLAIN ESP IF YOU KNOW TRIG ILL GIVE BRAINLIEST IF POSSIBLE!!!!
graph y=-2sin(-3x) 0 is greater or equal to x is greater or equal to 2pi

Answers

the graph οf y=-2sin(-3x) οver the interval [0, 2π] will lοοk like a wave that οscillates 3 times between y=-2 and y=2, with a periοd οf 2π/3. The graph will start at the x-axis at y=0 and be reflected acrοss the x-axis.

What is a graph?

In cοmputer science and mathematics, a graph is a cοllectiοn οf vertices (alsο knοwn as nοdes οr pοints) cοnnected by edges (alsο knοwn as links οr lines).

I can help yοu graph the functiοn y=-2sin(-3x) οver the interval [0, 2π].

Tο start, let's analyze the functiοn. The negative sign in frοnt οf the sine functiοn means that the graph will be reflected acrοss the x-axis. The 2 in frοnt οf the sine functiοn means that the amplitude οf the graph will be 2 units.

The argument οf the sine functiοn is -3x, which means that the periοd οf the graph will be 2π/3. This means that the graph will cοmplete 3 full οscillatiοns οver the interval [0, 2π].

Using this infοrmatiοn, we can sketch the graph as fοllοws:

At x=0, the sine functiοn is 0, sο the graph starts at the x-axis at y=0.

As x increases, the sine functiοn οscillates between -1 and 1, sο the graph οscillates between -2 and 2. Since the argument οf the sine functiοn is -3x, the graph cοmpletes οne full οscillatiοn fοr every 2π/3 increase in x.

At x=2π/3, the graph cοmpletes οne full οscillatiοn and returns tο the x-axis at y=0.

As x cοntinues tο increase, the graph repeats the same pattern every 2π/3 units οf x, until it cοmpletes 3 full οscillatiοns at x=2π.

Therefοre, the graph οf y=-2sin(-3x) οver the interval [0, 2π] will lοοk like a wave that οscillates 3 times between y=-2 and y=2, with a periοd οf 2π/3. The graph will start at the x-axis at y=0 and be reflected acrοss the x-axis.

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PLS HELP AND EXPLAIN ESP IF YOU KNOW TRIG ILL GIVE BRAINLIEST IF POSSIBLE!!!!graph y=-2sin(-3x) 0 is

alguien que me ayude porfavor !!!!!

alguien que me ayude porfavor !!!!!

Answers

Es 10 miles per minute

Angle PQR is isosocles with PQ=PR= 7. 5cm and QR = 9cm. The height PS from P to QR,is 6cm. Find the area of Angle PQR. What will be the height from R to PQ that is RT

Answers

The height RT from R to PQ is approximately 3.16 cm.

To find the area of triangle PQR, we can use the formula:

Area = 1/2 * base * height

Since PQR is isosceles with PQ = PR, the base is PQ or PR. We can choose PQ as the base. Then the height is PS.

Area of PQR = 1/2 * PQ * PS

Since PQ = PR = 7.5 cm and PS = 6 cm, we can substitute these values into the formula and simplify:

\(Area of PQR = 1/2 * 7.5 cm * 6 cm\)

\(Area of PQR = 22.5 cm^2\)

Therefore, the area of triangle PQR is \(22.5 cm^2\).

To find the height RT from R to PQ, we can use the Pythagorean theorem.

Let's draw a perpendicular line from R to PQ, intersecting at T. Then we have a right triangle PRT with hypotenuse PR and legs PT and RT.

Since PQR is isosceles, we can also see that angle PQR is equal to angle PRQ. Therefore, angles PQR and PRQ are equal and each is approximately 69.3 degrees (using inverse cosine function).

Using the sine function, we can find the length of PT:

sin(69.3) = PT / 7.5

PT = 7.5 * sin(69.3)

PT ≈ 6.93 cm

Using the Pythagorean theorem, we can find the length of RT:

\(RT^2 + PT^2 = PR^2\)

\(RT^2 = PR^2 - PT^2\)

\(RT^2 = 7.5^2 - 6.93^2\)

RT ≈ 3.16 cm

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The play director spent 190190190190 hours preparing for a play. That time included attending 35353535 rehearsals that took varying amounts of time and spending 933493 \dfrac{3}{4}9343​93, start fraction, 3, divided by, 4, end fraction hours on other responsibilities related to the play. What question does the equation 35x+9334=19035x+93\dfrac{3}{4}=19035x+9343​=19035, x, plus, 93, start fraction, 3, divided by, 4, end fraction, equals, 190 help answer?

Answers

Answer:

The equation above represents the total time the play director spent preparing for a play.

Step-by-step explanation:

The time spent by the play director for preparing for a play is, 190 hours.

Of these 190 hours, the director spent varying amounts of time attending 35 rehearsals for the play.

Let the varying amounts of time be denoted by, x.

The director also spent 3/4th of an hour, i.e. 45 minutes, on other responsibilities related to the play.

The equation provided is:

\(35x+\frac{3}{4}=190\)

The equation above represents the total time the play director spent preparing for a play.

Suppose that 35% of all factory workers ride a bus to work each day. Suppose further that you take a random sample of 150 workers. 1. Is 35% number a parameter or a statistic? Explain briefly. 2. Are you guaranteed that 35% of your sample ride a bus to work each day? Explain briefly. 3. Does the central limit theorem of s sampling distribution of sample proportions apply? Refer to the technical conditions in the central limit theorem. 4. Describe the sampling distribution of the sample proportion of these 150 workers who ride a bus to work each day.

Answers

1. The 35% number is a parameter, because it describes the entire population of factory workers. A parameter is a numerical summary of the population, in this case the proportion of all factory workers who ride a bus to work each day.

2. No, we are not guaranteed that exactly 35% of the sample of 150 workers ride a bus to work each day. The reason is that we are taking a sample from the population, and the sample proportion may or may not be exactly equal to the population proportion. The sample proportion is a random variable, and its value will depend on the particular sample that we take.

3. Yes, the central limit theorem applies to the sampling distribution of sample proportions of workers who ride a bus to work each day. The technical conditions for the central limit theorem are: The sample is a simple random sample (SRS) from the population of interest.

The sample size is large enough so that np > 10 and n(1-p) > 10, where n is the sample size and p is the population proportion of successes (in this case, workers who ride a bus to work each day).

4. The sampling distribution of the sample proportion of these 150 workers who ride a bus to work each day will be approximately normal, by the central limit theorem. The mean of the sampling distribution will be equal to the population proportion, which is 0.35.

The standard deviation of the sampling distribution (also called the standard error) will be sqrt((p(1-p))/n) = sqrt((0.35*0.65)/150) = 0.045.

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A sample of undergraduates at OSU were given an IQ test. The mean was110 and the standard deviation was 10. Draw a sketch of the data.
a. What percent scored below a 90 on the IQ test?
b. What percent scored higher than a 115? Lower than a 115?
c. If you wanted to find the top 15% of students, what would be the cutoffscore?
d. The middle 36% of students fall between what two scores?
e. What percentage of students fall between 95.6 & 105?

Answers

A normal distribution curve with mean 110 and standard deviation 10.  Percentages of students scoring below 90, higher than 115, lower than 115, and between IQ score cut offs for the top 15% and the middle 36% of students were 105.7 and 114.3. The percentage of students falling between IQ scores of 95.6 and 105 is  23.5%..

To find the percentage of students who scored below a 90, we need to find the area under the normal distribution curve to the left of 90. Using a standard normal distribution table or calculator, we find that this area is about 0.16 or 16%.

To find the percentage of students who scored higher than a 115, using a standard normal distribution table or calculator, we find that this area is about 0.16 or 16%. To find the percentage of students who scored lower than a 115, we need to find the area under the normal distribution curve to the left of 115, which is about 84%.

To find the IQ score cutoff for the top 15% of students, using a standard normal distribution table or calculator, we find that the z-score is about 1.04. We can then use the formula z = (x - μ) / σ to solve for x, the IQ score cutoff:

1.04 = (x - 110) / 10

x = 121.04

So the IQ score cutoff for the top 15% of students is about 121.04.

To find the IQ scores, using a standard normal distribution table or calculator, we find that the z-scores are about -0.43 and 0.43. We can then use the formula z = (x - μ) / σ to solve for x, the IQ score cutoffs:

-0.43 = (x - 110) / 10

x = 105.7

0.43 = (x - 110) / 10

x = 114.3

So the IQ score cutoffs for the middle 36% of students are about 105.7 and 114.3.

To find the percentage of students who fall between IQ scores of 95.6 and 105, we find that the z-scores are about -1.04 and -0.46. Using a standard normal distribution table or calculator, we find that the area between these z-scores is about 0.235 or 23.5%.

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What are B and C help!!

What are B and C help!!

Answers

Answer:B should be 8 miles and C should be 16 miles.

PLLLLLLLSSSSSSS HELP MEEE!!!!! I AM STUCK ON THIS AND I NEED HELP I NEED ANSWER AND WORK IF U GET IT RIGHT I WILL GIVE BRAINLIEST. If the perimeter of a rectangle is 26x^2+16x+10 and the length is 8x^2+6x+4, what is the width?

Answers

Answer:

2(3x2 + 6x - 10) + 2(3x + 5)

Step-by-step explanation:

Answer:

Lol. Give brainliest to the other guy.

Step-by-step explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

subtract the mean from each score and square each difference. what is the sum of the squared differences? difference in weight

Answers

To find the sum of the squared differences, you first need to calculate the mean of the data set. Then, you need to subtract the mean from each score to get the difference. Finally, you need to square each difference and add them all together to get the sum of the squared differences.

Here are the steps to find the sum of the squared differences:

1. Calculate the mean of the data set by adding up all the scores and dividing by the number of scores.
2. Subtract the mean from each score to get the difference.
3. Square each difference.
4. Add up all the squared differences to get the sum of the squared differences.

For example, if the data set is {1, 2, 3, 4, 5}, the mean is (1+2+3+4+5)/5 = 3. The differences are (-2, -1, 0, 1, 2), and the squared differences are (4, 1, 0, 1, 4). The sum of the squared differences is 4+1+0+1+4 = 10.

So, the sum of the squared differences for this data set is 10.

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What’s the answer pls help

Whats the answer pls help

Answers

Answer:

C

Step-by-step explanation:

y=mx+b

m(slope)=rise/run=1

b(y intercept)=2

y=x+2

What is the measure of AC?

What is the measure of AC?

Answers

Answer:

AC = 33°

Step-by-step explanation:

the measure of inscribed angle ABC is half the measure of its intercepted arc AC

that is AC is twice the measure of ∠ ABC , so

7x - 2 = 2(2.5x + 4) = 5x + 8 ( subtract 5x from both sides )

2x - 2 = 8 ( add 2 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Then

AC = 7x - 2 = 7(5) - 2 = 35 - 2 = 33°

two hundred five thousandths in decimal numbers

Answers

The required decimal form of two hundred five thousandths is 0.205.

When we write a decimal number, each digit represents a different power of 10, with the digit to the left of the decimal point representing the one place, and the digits to the right of the decimal point representing fractions of a whole.

So, to represent two hundred five thousandths in decimal form, we need to write 2 in the thousandth place, which is three digits to the right of the decimal point. This gives us the number 0.205.

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NEED HELP ASAP!!! GIVING BRAINLIEST+20 POINTS TO B4ST ANSWER FOR THESE 2 QUESTIONS!! YOU CAN DO IT! :D


1. Solve two thirds times two thirds.

1.two ninths

2.two sixths

3.four ninths

4.four over one



2. Matt is painting a mural on a 1-square meter section of a wall. He has completed a rectangular part of the mural that is four sixths of a meter wide and two fifths of a meter tall. What part of the mural has been completed?

1. four fifths
2. eight sixths
3. six elevenths
4. eight thirtieths

Answers

Answer:

See below ↓↓

Step-by-step explanation:

1.

2/3 x 2/3Numerator (N) = 2 x 2 = 4Denominator (D) = 3 x 3 = 9Fraction = N/D = 4/9⇒ 3. four ninths

2.

Area completed = 4/6 x 2/5Numerator (N) = 4 x 2 = 8Denominator (D) = 6 x 5 = 30Fraction = N/D = 8/30 ⇒ 4. eight thirtieths

Explanation:

\(\bold{two \ third \ refers \ to }\ \ \boxed{\sf \frac{2}{3}}\)

\(\hookrightarrow \sf \dfrac{2}{3} *\dfrac{2}{3}\)

\(\hookrightarrow \sf \dfrac{2*2}{3*3}\)

\(\hookrightarrow \sf \dfrac{4}{9}\)

answer: four ninths

2nd

area of the finished part:

Length * Width

\(\hookrightarrow \sf \dfrac{4}{6} * \dfrac{2}{5}\)

\(\hookrightarrow \sf \dfrac{4*2}{6*5}\)

\(\hookrightarrow \sf \dfrac{8}{30}\)

answer: eight thirtieths

Another one y'all ready know it's algebra!

Another one y'all ready know it's algebra!

Answers

Answer:

-3x²-12x is your answer

Answer:

Step-by-step explanation:

Another one y'all ready know it's algebra!

m-3/18=11/18 What is m??

Answers

Answer:

I think m is a variable

Step-by-step explanation:

because a variable is a letter representing a unknown amount

Step-by-step explanation:

hope this will help you.

m-3/18=11/18 What is m??

Help give u 10 point urgent

Help give u 10 point urgent

Answers

Answer:

60.6 cm

Step-by-step explanation:

The perimeter P is the sum of the 4 sides, that is

P = 14.8 + 12.5 + 16.3 + 17 = 60.6 cm


During a cake-eating contest, Dave ate three and a half pizza and Daisy
ate two-thirds of a pizza. How many pizzas did they eat altogether?

HELP EXPLAIN STEP BY STEP!

Answers

Answer:

4 1/6

Step-by-step explanation:

Dave eats 3 3/6

Daisy eats 4/6

Together they eat 3 1/6

First you have to make it to a common denominator for Dave and Daisy. then you add the fractions.

Answer:  4 & 1/6

4 full pizzas plus 1/6 of a pizza

i.e. 4 full pizzas plus one extra slice

======================================================

Explanation:

1/2 = 3/6

2/3 = 4/6

The fractions add to 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 & 1/6

That first "1" is the carry and it adds to the 3 whole pizzas Dave ate. So we have 3+1 = 4 full pizzas consumed, plus an additional 1/6 of a pizza.

This gives the mixed number 4 & 1/6

Check out the diagram below. I show Dave's slices in blue, and Daisy's slices in pink for the first two rows. The third row is the combination of those slices to get 4 full pizzas and 1 extra slice (to represent that extra 1/6). Let me know if you have questions about the diagram, or the steps in general.

During a cake-eating contest, Dave ate three and a half pizza and Daisyate two-thirds of a pizza. How

What is the mesure of angle AXB?

Answers

The answer is 180 degrees
180 degrees your welcome !


What algebraic inequality can be used to represent the
following statement?
The difference of four times a number x and three is at
least thirty-seven.

What algebraic inequality can be used to represent thefollowing statement?The difference of four times

Answers

\(4(x - 3) \leqslant 37\)

a researcher has defined her research question, operationalize her variables, and set the null/alternative hypothesis. what is her next step?

Answers

After defining the research question, operationalizing variables, and setting the null and alternative hypotheses, the next step for the researcher would typically be to design and conduct the research study.

This involves planning and implementing data collection methods, selecting a sample, gathering data, and analyzing the collected data.

Here are some specific steps the researcher may take next:

1. Determine the appropriate research design: The researcher needs to choose the most suitable research design for their study, such as experimental, correlational, descriptive, or qualitative design.

2. Select the sample: Depending on the research design, the researcher needs to decide how to select the participants or subjects for the study. This may involve random sampling, convenience sampling, or other sampling techniques.

3. Collect data: The researcher will collect the necessary data based on the operationalized variables. This can be done through surveys, experiments, observations, interviews, or other data collection methods.

4. Analyze the data: Once the data is collected, the researcher will use appropriate statistical or qualitative analysis techniques to analyze the data and draw conclusions. This may involve descriptive statistics, inferential statistics, or thematic analysis, depending on the research question and design.

5. Interpret the results: Based on the analysis, the researcher will interpret the findings and assess whether they support or reject the null hypothesis. This step involves drawing conclusions, discussing implications, and considering the limitations of the study.

6. Report and communicate the findings: The researcher will write a research report or manuscript summarizing the study, including the research question, methodology, results, and conclusions. They may also present the findings at conferences or publish them in academic journals.

It is important to note that the specific next steps may vary depending on the nature of the research question, the field of study, and the research methodology employed.

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A square sandbox has sides of length 9 ft and a depth of 1 ft. If sand costs $5 / cubic foot, how much will it cost to fill the sandbox with sand?

Answers

The cost spent on fill the box with sand is 405$.

According to the statement

we have given a square sandbox with length 9 ft and depth of 1 ft.

and the rupees of sand per cubic ft is $5

then

Now, we have to find the volume of sandbox with the given length and depth.

So, for this purpose we use Volume formula

V = (a)^3

V = 9*9*1

V = 81 cubic feet

And the cost of sand per cubic feet is $5.

then

The cost of sand for 81 cubic per feet is calculate by multiplication formula then

Total cost of sand = 81*5

Total cost of sand = 405$

So, The cost spent on fill the box with sand is 405$.

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abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.​

Answers

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

abc is a right triangle with ab=ac. bisector of &lt;a meets bc at d. prove that bc = 2ad.

Determine where the absolute extrema of f(x) = 4x/x^2+1 on the interval [-4, 0] occur.

Answers

The function f(x) = 4x/(x² + 1) in the interval [-4, 0] has absolute maximum at x = 1 and absolute minimum at x = -1.

Given the function is f(x) = 4x/(x² + 1)

Differentiating the function with respect to 'x' we get,

f'(x) = d/dx [4x/(x² + 1)] = ((x² + 1)d/dx [4x] - 4x d/dx [(x² + 1)])/((x² + 1)²) = (4(x² + 1) - 8x²)/((x² + 1)²) = (4 - 4x²)/((x² + 1)²)

f''(x) = ((x² + 1)²(-8x) - (4 - 4x²)(2(x² + 1)*2x))/(x² + 1)⁴ = (8x(x² + 1) [-x² - 1 - 2 + 2x²])/(x² + 1)⁴ = (8x[x² - 3])/(x² + 1)³

Now, f'(x) = 0 gives

(4 - 4x²) = 0

1 - x² = 0

x² = 1

x = -1, 1

So at x = -1, f''(-1) = (-8(1 - 3))/((1 + 1)³) = 2 > 0

at x = 1, f''(1) =  (8(1 - 3))/((1 + 1)³) = -2 < 0

So at x = -1 the function has absolute minimum and at x = 1 the function has absolute maximum.

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Answers

Answer:

The value is 0.025

Step-by-step explanation:

We get the z-score that is equal to the given value

Mathematically we have this as:

z-score = (x-mean)/SD

x = 93

mean =79

SD = 7

So we have the z-score as;

z-score = (93-79)/7 = 14/7 = 2

So we want to calculate the probability equal to the calculated z-score value of 2

Using the standard normal distribution table, we have this value as;

1 - 0.975= 0.025

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