If p-1/p=4,find the value of P2+1/p2​

Answers

Answer 1

Answer:

18

Step-by-step explanation:

(p-1/p)² = 4²

p² + 1/p² - 2(p)(1/p) = 16

p²+1/p² -2 =16

so, p²+1/p² = 16+2

= 18


Related Questions

Bearings And Vectors • The bearing of X from Y is 045 and the bearing of Z from Yis 145, where X, Y and Z are three points in the plane. If Y is equidistant from X and Z, find the bearing of Z from X. ​

Answers

9514 1404 393

Answer:

  185°

Step-by-step explanation:

The triangle internal angle at Y is 145° -45° = 100°. Since the triangle is isosceles, the internal angles at X and Z are both (180° -100°)/2 = 40°. Then the bearing of Z from X is the bearing of Y from X less the internal angle at X:

  (45° +180°) -40° = 185°.

Z from X is 185°.

what is 7.65% of $509.25

Answers

Answer:

38.957625 US$

Step-by-step explanation:

38.957625 US$

Answer:

38.96

Step-by-step explanation:

Change from percent to decimal form

.0765 * 509.25

38.957625

Rounding to the nearest cent

38.96

Find the arclength of the curve r(t) = ⟨ 10sqrt(2)t , e^(10t) , e^(−10t)⟩, 0≤t≤1

Answers

Answer:

[tex]\displaystyle AL = 2sinh(10)[/tex]

General Formulas and Concepts:

Pre-Calculus

Hyperbolic Functions

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Exponential Differentiation

Integration

IntegralsIntegration Constant CDefinite Integrals

Parametric Integration

Vector Value Functions

Vector Integration

Arc Length Formula [Vector]:                                                                               [tex]\displaystyle AL = \int\limits^b_a {\sqrt{[i'(t)]^2 + [j'(t)]^2 + [k'(t)]^2}} \, dt[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \vec{r}(t) = <10\sqrt{2}t , e^{10t} , e^{-10t} >[/tex]

Interval [0, 1]

Step 2: Find Arclength

Rewrite vector value function:                                                                     [tex]\displaystyle r(t) = 10\sqrt{2}t \textbf i + e^{10t} \textbf j + e^{-10t} \textbf k[/tex]Substitute in variables [Arc Length Formula - Vector]:                               [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{\bigg[\frac{d}{dt}[10\sqrt{2}t \textbf i]\bigg]^2 + \bigg[\frac{d}{dt}[e^{10t} \textbf j]\bigg]^2 + \bigg[\frac{d}{dt}[e^{-10t} \textbf k ]\bigg]^2}} \, dt[/tex][Integrand] Differentiate [Respective Differentiation Rules]:                     [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{[10\sqrt{2} \textbf i]^2 + [10e^{10t} \textbf j]^2 + [-10e^{-10t} \textbf k]^2}} \, dt[/tex][Integrand] Simplify:                                                                                       [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{200 \textbf i + 100e^{20x} \textbf j + 100e^{-20x} \textbf k}} \, dt[/tex][Integral] Evaluate:                                                                                         [tex]\displaystyle AL = 2sinh(10)[/tex]

Topic: AP Calculus BC (Calculus I + II)

Unit: Vector Value Functions

Book: College Calculus 10e

What is the measure of 7 shown in the diagram below?
110°
O A. 74.5°
B. 32°
X
O C. 71°
Z
D. 35.5°

Answers

Answer:

c  

Step-by-step explanation:

Answer:

the correct choice is B

Step-by-step explanation:

10x^3 - 25x^2 + 20
How to factor this

Answers

5(2x^2-x-2)(x-2)

Step-by-step

Answer:  [tex]5(\frac{10x^3}{5}+\frac{-25x^2}{5}+\frac{20}{5}) \\\\5(2x^3-5x^2+4)\\\\5(2x^2-x-2)(x-2)[/tex]

Colin stacks 3 snowballs on top of each other to make a snowman. The snowballs are \dfrac7{10} \text{ meter} 10 7 ​ meterstart fraction, 7, divided by, 10, end fraction, start text, space, m, e, t, e, r, end text, \dfrac12 \text{ meter} 2 1 ​ meterstart fraction, 1, divided by, 2, end fraction, start text, space, m, e, t, e, r, end text, and 38 \text{ centimeters}38 centimeters38, start text, space, c, e, n, t, i, m, e, t, e, r, s, end text tall. What is the total height of the snowman in centimeters?

Answers

Answer:

[tex]Total = 158cm[/tex]

Step-by-step explanation:

Given

[tex]x: \dfrac7{10}m, \dfrac12m,38cm[/tex]

See comment

Required

The total height

This is calculated as:

[tex]Total = \sum x[/tex]

So, we have:

[tex]Total = \dfrac7{10}m+ \dfrac12m+38cm[/tex]

Express m as cm

[tex]Total = \dfrac7{10}cm * 100+ \dfrac12cm * 100+38cm[/tex]

[tex]Total = 70cm + 50cm + 38cm[/tex]

Take LCM

[tex]Total = 158cm[/tex]

Answer: ♔158 centimeters.☯ Trust me it is correct. ヾ(•ω•`)o

Please help!
Answers
A,B,C and D
The information is already in the chart
( ignore the charts below question 2.)

Answers

I believe the answer is B!

Hope this helped you! Please follow my account, thanks!

The answer is (B) ur welcome

Which three relations are functions? Select all correct answers

Answers

Answer:

the 3rd, 4th, and 5th one

Step-by-step explanation:

Answer:

Step-by-step explanation:

:)

Find the value of x round to the nearest tenth.

Answers

9514 1404 393

Answer:

  117.9°

Step-by-step explanation:

Solving the Law of Cosines equation for C, we get ...

  C = arccos((a² +b² -c²)/(2ab))

Filling in the values from the figure, we find the angle X to be ...

  X = arccos((y² +z² -x²)/(2yz)) = arccos((55² +50² -90²)/(2·55·50))

  X = arccos(-2575/5500) ≈ 117.9°

Three numbers are in the ratio of 1:2:4. If 3 is added to the first and 8 is subtracted from the third, the new numbers will be the first and third terms of an A.P., whose second term is the second number. Find the original numbers.​

Answers

9514 1404 393

Answer:

  5, 10, 20

Step-by-step explanation:

Suppose the three numbers are x, 2x, and 4x. Then they have the required ratios. After the transformation, we have ...

  ((x+3) +(4x -8))/2 = 2x . . . . . 2nd term is average of 1st and 3rd

  5x -5 = 4x   ⇒   x = 5

The original numbers are 5, 10, 20.

_____

After the adjustment, the arithmetic sequence is 8, 10, 12.

Can someone do #4 and #5

Answers

Answer:

First, find two points on the graph:

(x₁, y₁) = (0, 2)(x₂, y₂) = (2, 8)

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{8-2}{2-0} =\frac{6}{2}=3[/tex]

16 + (-3) = 16 - 3 = 13

the diameter of a circle is 8 cm what is its area?

Answers

A = πr^2 and d = 2r.

So r = 8/2 = 4 cm.

Now use the first formula

A = π(4 cm)^2 = 50.265 cm^2

(-1)×(-1)×(-1)×(2m+1) times where m is a natural number,is equal to?
1. 1
2.-1
3.1 or-1
4.None​

Answers

Answer:

(2). -1

Step-by-step explanation:

The given parameter can be represented as:

[tex](-1)^{2m + 1}[/tex]

See comment for correct question

Required

The end result

From the question, we understand that m is a natural number

This means that:

[tex]2m + 1 \to[/tex] odd number

So:

[tex](-1)^{2m + 1} = -1[/tex] --- i.e. -1 to the power of an odd number will give -1

Hence; (2) is correct

In how many ways can 10 people be divided into three groups with 2, 3, and 5 people respectively?

Answers

Answer:

2100

Step-by-step explanation:

In how many ways can a group of 10 people be divided into three groups consisting of 2,3, and 5 people?

First, you need to choose 4 people to fill the first group.

The number of ways is (104) which equals to 210.

Then, pick 3 more people out of the remaining 6 to be in the second group. And then, pick 3 more out of the remaining 3.

However, we need to divide it by 2, since we don’t really care on the order of selection of group.

(63)(33)/2=10

So, there are 210 x 10 = 2100 ways

Answer:

hmmm I read JeremyBrooks answer... I think that it might be different...

i think it is 2520

of the 10 you first choose 2

10 choose 2 = 45 ways

in each of the 45 "chooses" you now

pick a group of 3 of the 8 left

8 choose 3 = that is 56

of the five people left you choose 5

5 choose 5 = 1

so the possibilities are 45*56 * 1 = 2520

Step-by-step explanation:

g (x) = f ( x + 1).
graph​

Answers

If this doesn’t help I highly recommend using the website desmos

If y varies directly as x, and x = 4 when y = 20, find y when x = 18.

Answers

Step-by-step explanation:

y=Kx

20=4k

k=5

when x=18

y=18 x 5

y=90

An amount of $700 was invested at 7% for 7 months what is the interest? Round your answer to your nearest cent.

Answers

Answer:

$343

step by step explanation: interest=PRT/100

:I=700×7×7/100

:I=$343.

Given:

Principal, P = $700

Rate of interest, R = 7% = 0.07

Time period, T = 7 months (it is considered as a monthly investment)

∴ Simple Interest, SI = PRT

SI = 700 × 0.07 × 7

SI = $343

What is straightforward interest and model?

Straightforward Simple Interest is the strategy for working out the premium sum for a specific chief measure of cash at some pace of revenue. For instance, when an individual takes credit of Rs. 5000, at a pace of 10 p.a. for a very long time, the individual's advantage for quite some time will be S.I. on the acquired cash.

Straightforward recipes generally start with an equivalent sign (=), trailed by constants that are numeric qualities and computation administrators like in addition to (+), short (- ), asterisk(*), or forward cut (/) signs.

Learn more about Simple Interest here

https://brainly.com/question/2294792

#SPJ2

9)[{(-90) + (-5)}2-10].2 I need help ASAP please please due Monday show work

Answers

Ans; [{(-90) + (-5)} 2-10] ×2 —> [{-90-5}2-10]×2 —> [{-95}2-10]×2 —> [-190-10]×2 —> [–200] ×2 —> = –400

I hope I helped you ^_^

Please answer I’m struggling

Answers

Step-by-step explanation:

Question 7.

[tex] \frac{{(3 + u)}^{2} }{8} [/tex]

[When u = 5]

[tex] = \frac{{(3 + 5)}^{2} }{8} [/tex]

[tex] = \frac{ {(8)}^{2} }{8} [/tex]

[tex] = \frac{8 \times 8}{8} [/tex]

= 8 (Ans)

Question 8.

-2(a - 7)

(Using Distributive property)

= - 2 × a -2 × (-7)

= -2a + 14 (Ans)

Answer:

7. 8

8. -2a+14

Step-by-step explanation:

(Excuse this form of the expression)

7.

u = 5

(3 + u)²

---------

   8

Plug in

(3 + 5)²

---------

   8

  (8)²

---------

   8

64

---- = 8

8

8.

-2(a - 7)

Multiply -2 with each number in the parenthesis

-2a + 14

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.
Slope= 1/3, passing through the origin.

Answers

Answer:

y = 1/3x        y - 0 = 1/3 (x - 0)

Step-by-step explanation:

slope intercept: y = 1/3x

point slope: y - 0 = 1/3 (x - 0)

CAN YOU GUYS PLEASE HELP ME? THANK YOU!

Answers

Answer:

60

step by step explanitation

Help me plz plz help me with this question

Answers

Answer:

6 97/100 bags

Step-by-step explanation:

4 1/10 ⋅ 1 7/10 = ?

41/10 ⋅ 17/10 = 697/100

697/100 = 6 97/100

6 97/100 bags

Answer:

697/100 bags

or

6 97/100 bags

Step-by-step explanation:

it is fractions. just plain and simple.

when you eat a pizza slice, it is usually one of 8 slices that make the whole pizza. 1/8 or one 8th. meaning that the whole thing is 8/8 or eight 8ths.

the same for 10ths or any other fractions.

4 1/10 bags = 41/10 bags

1 7/10 times = 17/10 times

and now we multiply fractions, as 17/10 times is similar to 2 times or 3 times something - we multiply by this factor.

41/10 × 17/10

as we learned in early elementary school : numerators (top part of the fraction) are multiplied with each other, and denominators (bottom part) are multiplied with each other. and then we simplify the result as much as possible.

41/10 × 17/10 = (41×17) / (10×10) = 697/100

no simplification is possible, sadly.

but that means he used almost 7 bags of hot dog buns.

exactly 6 full bags and 97/100 of the 7th bag.

so, either

697/100 bags

or

6 97/100 bags

or as alternative (not wanted here in this example but just FYI)

6.97 bags

Could you guys answer this for me by 12am!

Answers

Answer:

-3

Step-by-step explanation:

Slope is y2 - y1 / x1 - x2.

So, let's take two random points; I have chosen (0, 3) and (2, -3).

Excellent. Let's calculate the slope.

Slope = (-3 - 3) / (2 - 0) = -6 / 2 = -3.

Hope this helps!

8x=3x²-1 plz help me show your work

Answers

Answer:

Step-by-step explanation:

3 times 8= 24 • 24 = 576 - 1 =575

or

3•8=24•2=48-1=47

not sure

Answer:

The answer is [tex]x=\frac{4(+-)\sqrt{19} }{3}[/tex] in exact form or [tex]x=2.7863[/tex], [tex]x=-0.1196[/tex] in decimal form.

Step-by-step explanation:

To solve this equation, start by moving all expression to the left side of the equation, which will include subtracting [tex]3x^2[/tex] and adding 1 to both sides of the equation. The equation will look like [tex]8x-3x^2+1=0[/tex].

Then, use the quadratic formula to find the solutions to the equation. The quadratic formula looks like [tex]\frac{-b(+-)\sqrt{b^2-4ac} }{2a}[/tex].

For this problem, the quadratic variables are as follows:

[tex]a=-3\\b=8\\c=1[/tex]

The next step is to substitute the values [tex]a=-3[/tex], [tex]b=8[/tex], and [tex]c=1[/tex] into the quadratic formula and solve for x. The quadratic formula will look like [tex]\frac{-8(+-)\sqrt{8^2-4(-3)(1)} }{2*-3}[/tex]. To simplify the equation, start by simplifying the numerator, which will look like [tex]x=\frac{-8(+-)2\sqrt{19} }{2*-3}[/tex]. Then, multiply 2 by -3 and simplify the equation, which will look like [tex]x=\frac{4(+-)\sqrt{19} }{3}[/tex]. The final answer is [tex]x=\frac{4(+-)\sqrt{19} }{3}[/tex] in exact form. In decimal form, the final answer is [tex]x=2.7863[/tex], [tex]x=-0.1196[/tex].

Which two statements are true

Answers

The third and fourth options.

If f (x) = 8X, then f (3) =
O 24
O 64
O 512
O 4,096

Answers

Answer: 24
Explanation:
F(x)= 8x
F(3)= 8*3
F(3)=24

Samuel had 12 red marbles , 15 blue marbles , and 13 green marbles . Which fraction represents the number of red marbles he has

Answers

Answer:

12/40 or simplified it would be 3/10

Step-by-step explanation:

An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 127 brakes using Compound 1 yields an average brake life of 42,814 miles. A sample of 163 brakes using Compound 2 yields an average brake life of 37,197 miles. Assume that the population standard deviation for Compound 1 is 1819 miles, while the population standard deviation for Compound 2 is 1401 miles. Determine the 98% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2.
Step 1 of 3 is Point estimate so 42,814 - 37,197 = 5,617
Step 2 of 3 :
Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places.
Step 3 of 3:
Construct the 98% confidence interval. Round your answers to the nearest whole number. (lower and upper endpoint)

Answers

Answer:

The point estimate is 5,617.

The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

The 98% confidence interval for the difference between the two population means is (5163, 6071).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.  

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Compound 1:

127 brakes, average brake life of 42,814 miles, population standard deviation of 1819 miles. This means that:

[tex]\mu_1 = 42814[/tex]

[tex]s_1 = \frac{1819}{\sqrt{127}} = 161.41[/tex]

Compound 2:

163 brakes, average brake life of 37,197 miles, population standard deviation of 1401 miles. This means that:

[tex]\mu_2 = 37197[/tex]

[tex]s_2 = \frac{1401}{\sqrt{163}} = 109.73[/tex]

Distribution of the difference:

[tex]\mu = \mu_1 - \mu_2 = 42814 - 37197 = 5617[/tex]

The point estimate is 5,617.

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{161.41^2 + 109.73^2} = 195.18[/tex]

Confidence interval

The confidence interval is:

[tex]\mu \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = zs[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].  

Margin of error:

[tex]M = zs = 195.18*2.327 = 454.18386 [/tex]

The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

For the confidence interval, as we round to the nearest whole number, we round it 454. So

The lower bound of the interval is:

[tex]\mu - zs = \mu - M = 5617 - 454 = 5163[/tex]

The upper bound of the interval is:

[tex]\mu + zs = \mu + M = 5617 + 454 = 6071[/tex]

The 98% confidence interval for the difference between the two population means is (5163, 6071).

Can someone let me know if this is right? Show work.

Answers

Answer:

I'd be estimatining the answer between 29-31.

Draw a line of best fit. It will be easier to make the estimation.

A turboprop plane flying with the wind flew 1,200 mi in 4 h. Flying against the wind, the plane required 5 h to travel the same distance. Find the rate of the wind and the rate of the plane in calm air.

Answers

Answer:

30 and 270 respectively

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*4=1200 and (x-y)*5=1200. Solving it, we get x=270 and y=30

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