Mathematics High School

Let p(x)=90/9+50e^−x.

What is p(−2)?



Enter your answer, rounded to the nearest tenth, in the box.

Answers

Answer 1

p(x) = 90 / (9 + 50 * e^(-x))

e = 2.718, so we can use e = 2.7 as a quick substitute

p(3) =>

90 / (9 + 50 * e^(-3)) =>

90 / (9 + 50 * 2.7^(-3)) =>

90 / (9 + 50 / 2.7^3) =>

90 / ((9 * 2.7^3 + 50) / 2.7^3) =>

90 * 2.7^3 / (9 * 2.7^3 + 50)

2.7^3 =>

(27/10)^3 =>

27^3 / 1000 =>

729 * 27 / 1000 =>

2187 * 9 / 1000 =>

6561 * 3 / 1000 =>

19683 / 1000 =>

19.683

90 * 2.7^3 / (9 * 2.7^3 + 50) =>

90 * 19.683 / (9 * 19.683 + 50)

9 * 19.683 =>

9 * (20 - 0.317) =>

180 - 9 * 0.317 =>

180 - 9 * 0.3 - 9 * 0.017 =>

180 - 2.7 - 9 * 0.01 - 9 * 0.007 =>

177.3 - 0.09 - 0.063 =>

177.3 - 0.153 =>

177.15 - 0.003 =>

177.147

90 * 19.683 / (9 * 19.683 + 50) =>

10 * 177.147 / (177.147 + 50) =>

1771.47 / 227.147 =>

1771470 / 227147 =>

1770000 / 225000 =>

1770/225 =>

4 * 1770 / 900 =>

4 * 177 / 90 =>

708/90 =>

70.8 / 9 =>

23.6 / 3 =>

(21 + 2.6) / 3 =>

7 + 0.866666.... =>

7.8666666...

Actual value:  7.8333389811057471507345888320992.....

Not bad for some estimates, is it?

Answer 2

Answer: This is the correct answer I just took the test

Step-by-step explanation:

Let P(x)=90/9+50e^x.What Is P(2)?Enter Your Answer, Rounded To The Nearest Tenth, In The Box.

Related Questions

HELPP PLEASEEE!!!! i will give brainiest and 10+points, HELP HURRYY THANKSSSSSS

Answers

Answer:

Im sorry I honestly don't know

Step-by-step explanation:

But can you look at my question to see if you can help me? Please I understand if you can't. My regards

At noon, the temperature was 0° Fahrenheit. The temperature changed by −1.2°F every hour for 8 hours. What was the temperature in degrees Fahrenheit at the end of the 8-hour period?

Enter your answer in the box.

Answers

-9.6 degrees Fahrenheit

A parabola is graphed such that the axis of symmetry is x = 3. One of the x-intercepts is (5, 0). What is the other x-intercept?

Answers

The axis of symmetry is the fold line that splits the parabola down the middle.

Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.

So if we know the axis of symmetry is x = 3 and one of our points

has the coordinates (5, 0), the other point will have the coordinates (3, 0).

The axis of symmetry is always halfway between the x-intercepts.

en un aparcamiento hay 55 vehiculos entre coches y motos. Si el total de ruedas es de 170. ¿Cuantos coches y cuantas motos hay?​

Answers

Answer:

Spanish?

Step-by-step explanation:

I speak english

PLEASE HELP. I CAN'T FAIL THIS TEST. A local movie theatre is having trouble getting people to come to the movies and they are trying to figure out why. They decide to survey the next 100 movie goers to see how they feel about going to the movies. Is this a good way for them to the movie theatre to collect data?

A) No, they are surveying people that are attending the movies and they are trying to find why people don't go to the movies.

B) Yes, since these are people that frequent the movie theater they can find out what they are doing that people like.

C) Yes, it is an inexpensive way for the movie theatre to get the information that they need.
D) No, that is too many people to survey and it will take too long to tally the results.

Answers

Answer:

I would say the answer is A.

Step-by-step explanation:

I think this because well why survey people that are coming into the Theaters cause obviously it seems like the like going to the movies, but truly they are suppose to survey people who don't like going to the movies.

Answer:

A

Step-by-step explanation:

4.
Kamisha has $114 In her bank account. She spends $81 on groceries, and she spends $44 at the
book store. Which number represents a debt greater than Kamisha's?
-$12
- $10
$10
$12

Answers

Answer:

-$12

Step-by-step explanation:

Add the spendings

$81+$44=$125

Subtract base number and solution

$114-$125=-$11

-$12 is a greater debt than -$11

Identify the percent of change as an increase or decrease. 10 feet to 8 feet point
Increase Decrease

Answers

Answer:

It decreases because it's going lower if it increases its going higher

A washing machine uses 27 gallons of water to wash 3 loads of clothes. How many gallons of water would be used to wash 14 loads of clothes?

Answers

Answer:

126 Gallons

Step-by-step explanation:

Take 27/3 to find how many gallons it takes for 1 load which is 9

Then multiply 9 (the gallons it takes for one load) by 14 to get 126 :)

What are these answers please and thank youu??

Answers

Answer:

7

13

19

28

Step-by-step explanation:

y= 1 + 3x

the first one is 2. we replace x with 2. now we have 1+3*2. We would have to multiply 3 and 2 which is 6. Now we have 1+6. which equals 7. Next one is 4 times 3 equals 12. 12 + 1 =13. Next one 6 times 3 equals 18. 18 + 1 = 19. The same thing for the next one

PLS HELP ASAP WILL GIVE BRAINLEAST

Answers

Answer:

do cubic root of 64 cause the volume is S^3

so the side is 4

Answer:

4

Step-by-step explanation:

4 is the cube root of 64

Which number line shows the correct locations of all the given values?

Answers

Answer:

it would be c because it is plotted correctly

Two frogs had a jumping contest. The heights they jumped are shown below.
Frog one jumped 70cm
Frog two jumped 850mm
What is the difference between the distances, in millimeters?

Answers

Answer: 150mm

Step-by-step explanation:

We should note that 10 millimeter = 1 centimeter. Therefore, 70cm to mm will be:

= 70 × 10 = 700mm

Frog one jumped 70cm = 700mm

Frog two jumped 850mm

The difference between the distance will be:.

= 850mm - 700mm

= 150mm

Please help! Factor out the GCF:

Answers

Answer:

35(2n + 1) A is correct

Multiply and you'll get

70n + 35

Step-by-step explanation:

35 is the greatest factor

70n / 35 = 2n

Answer:

35(2n + 1)

Step-by-step explanation:

what is 8x over 2y ?

Answers

Answer:

6 2/3.. i think

Step-by-step explanation:

hopefully u understand my messy handwriting

convert 17584000cm3 to kl​

Answers

Answer:

17.58 KL

Step-by-step explanation:

.

Answer:

17.584 kl.

Step-by-step explanation:

1 kl = 1,000,000 cm^3.

So the answer is  17.584 kl.

Can someone pleas help ?

Answers

Answer:

y=12

Step-by-step explanation:

BA/BD=BE/BC

24/8=(24+y) / y

16y=192

y=12

What is the area of triangle ABC?

Select the correct choice.

A: 6sqrt3
B: 18sqrt3
C: 36sqrt3
D: 72sqrt3

Answers

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

The triangle is equilateral , since 3 angles = 60°

Then base AB = 12

Find height CD using the sine ratio in the right triangle ( there are 2 )

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CD}{BC}[/tex] = [tex]\frac{CD}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ← exact value of sin60° ( cross- multiply )

2CD = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

CD = 6[tex]\sqrt{3}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 12 × 6[tex]\sqrt{3}[/tex] = 6 × 6[tex]\sqrt{3}[/tex] = 36[tex]\sqrt{3}[/tex] units² → C

Which number best represents a temperature drop of twelve degrees?
A. -1.2
B.
1.2
C. -12
D.
12

Answers

Answer:

c

Hope it helps :)

the answer is c i think

What is the value of x?

Enter your answer in the box.

Answers

Answer:

4

Step-by-step explanation:

This is a pair of special right triangles

in RST its 30-60-90 triangle

It's RT will be 4

then in triangle RQT it is 45-45-90 triangle

It's two sides are always equal so RQ = 4 as well

PLEASE HELP, I NEED THIS RIGHT NOW! ​

Answers

Answer:

A

Step-by-step explanation:

i dnt know how to explain tht but hi

Pls help me and pls show the complete working

Answers

don’t fall for them links^^^
they try to hack your device, be carful stay safe boo xoxo

Based on the diagram...what is the value of x??

Answers

Answer: 22.5

Explain:
First, I divided 15 by 4 since there are 4 bars
That got me 3.75
Then, I multiple 15 by 3.75
To get the answer 22.5

Can someone help me pretty please?

Answers

h = -3
k = -3
Axis of symmetry: x = -3
Vertex: (-3,-3)
Standard form: y = -x² - 6x - 12

Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range

Answers

Answer:

Mean: 4

Mode: 4

Median: 6

Range: 5

Step-by-step explanation:

Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Mode: Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

Give each trig ratio as a fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

sin(D) = 20/29

D = arcsin(20/29)

D=43.60281897 °

cos( 43.60281897 °)= DF / 29

DF = 29*cos( 43.60281897 °)

DF = 21

sin(D) = 20/29

cos(D) = 21/29

tan(D) = 20 / 21

sin(E) = 21/29

cos(E) = 20/29

tan(E) = 21 / 20

how do I work it out ?

Answers

Answer:

x - y = 5

Explanation:

As you can see in the first problem the ration is x to y = 8 to 3. This means for every 8 x values, there are 3 y values. Therefore, x - y should be the same as 8 - 3, which is 5.

Find the area of the shaded region to the nearest tenth.

Answers

Answer:

(540-36π)km²

Step-by-step explanation:

First solve the area of the shaded triangle. 40 times 27 divided by 2 equals 540. Now subtract the area of the circle. The area of the circle is 36π because the radius is 6 and 6 squared times pi equals 36π. Finally subtract 36π from 540. The answer is (540-36π)².

Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.

sigma squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction. = StartFraction 9 squared minus 32 squared + 12 squared + 0 squared + 11 squared Over 5 EndFraction. = StartFraction 81 minus 1,024 + 144 + 0 + 121 Over 5 EndFraction. = StartFraction negative 678 Over 5 EndFraction. = negative 135.6

What is the first error she made in computing the variance?
Emi failed to find the difference of 89 - 78 correctly.
Emi divided by N - 1 instead of N.
Emi evaluated (46 - 78)2 as -(32)2.
Emi forgot to take the square root of -135.6.

Answers

Answer:

135.6

i think

Step-by-step explanation:

Emi evaluated (46 - 78)² as -(32)². The variance of the given data is 274. Therefore, option C is the correct answer.

Given that, the population data set is 87, 46, 90, 78, and 89.

Here, mean = [tex]\bar x[/tex] =78 and n=5

We know that, mean [tex]\bar x=\frac{\sum x_i}{n}[/tex] and variance = [tex]\sigma^2=\frac{\sum (x_i-\bar x)^2}{n}[/tex].

Here, σ² = [(87-78)²+(46-78)²+(90-78)²+(78-78)²+(89-78)²]/5

= (9²+(-32)²+12²+0²+11²)/5

= (81+1024+144+121)/5

= 1370/5

= 274

So, the variance is 274.

Therefore, option C is the correct answer.

Learn more about the variance here:

https://brainly.com/question/29615374.

#SPJ7

Amy buys 23 envelopes for 16p each and pays with a £5 note. How much change does she get? Give your answer in pounds

Answers

Answer: £1.32

Step-by-step explanation:

Amy buys 23 envelopes and each of them cost 16p.

1p makes a pound so 16 pence is £0.16.

23 envelopes would cost:

= 0.16 * 23

= £3.68

Her change in Pounds would be:

= 5 - 3.68

= £1.32

describe how 20,000 and 2,000 related

Answers

Answer:

They both have 3 zero's both have the number 2

They both are numbers

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