given that q is directly proportional to (p-1)square and p is always positive find the value of p when a=20, if q=4 when p=10

Answers

Answer 1

Answer:

1 + 9√5

Step-by-step explanation:

q = (p-1)² * k

4 = (10-1)² * k

k = 4/81

q=20     20 = (p-1)² * 4/81

(p-1)² = 20 * 81/4 = 405

p-1 = 9√5

p = 1 + 9√5


Related Questions

For any linear function f(x) = mx + b, when does kf(x) = f(kx)?

Answers

Only when b = 0 or k = 1.

If f(x) = mx + b, then

f (kx) = m (kx) + b = mkx + b

while

k f(x) = k (mx + b) = kmx + kb

The two expression are identical only if

kb = b   ===>   kb - b = 0   ===>   b (k - 1) = 0   ===>   b = 0 or k = 1

What does the expression you wrote in part d mean?

Answers

Answer:

you give us no context

Answer:

The expression means that if Harold has one pack of red sticks and one pack of blue sticks, he could distribute them equally among 4 people without having any sticks of either color leftover.

Step-by-step explanation:

The length of a rectangle is twice its width. The length is 4 1/2 feet. What is the area of the rectangle in square feet?

Answers

Answer:

Loading,please wait...

Step-by-step explanation:

determine the intercepts of the line

x intercept: ?,?
y intercept: ?,?

Answers

Answer:  

x-int = 4.5  

y-int = -1

Buddy you don't need to spam the question btw

How long will it take 4 machines to complete a task, given that 7 machines can complete the same task in 8 days?

Answers

Answer:

14

Step-by-step explanation:

if x+y=7 and xy=10 find x2+y2+5xy

Answers

Answer:

64

Step-by-step explanation:

x+y = 7

xy = 10

2x+2y+5xy = 2(x+y)+5(xy) = 2*7+5*10 = 14 + 50 = 64

Directions: Find the slope of the line show on the graph.

Answers

Answer:

Slopes:

1. m = 4/6 = 2/3

2. m = - 4/3

3. m = -2

4. x = 3

5. m = 4

6 Y = -2

Step-by-step explanation:

A store is having a sale on sweatshirts. The regular price of a sweatshirt is $30. The markdown is 35% . What is the sale price of the shirt?

$10.50
$10.50

$40.50
$40.50

$19.50
$19.50

$1.50

Answers

the answer is definitely 40.5

A map of Pennsylvania has a scale of ¾ inch to 25 miles. If Pittsburgh and Philadelphia are 9 inches apart on the map, how many miles apart are the two cities? Please help due today
Explanation please

Answers

Answer:

225 miles

Step-by-step explanation:

0.75 inches : 25 miles

we can times 0.75 by 12 to get 9, so we have to times the other side by 12 too.

9 inches : 300

anybody know this please help​

Answers

9514 1404 393

Answer:

  A = -5

Step-by-step explanation:

The equation can be simplified, then solved for A.

  [tex]\dfrac{-8+A\times(-8)-(-6)}{-3+(-8)\div2\times4}=-2\\\\\dfrac{-8-8A+6}{-3-4\times4}=-2\\\\\dfrac{4A+1}{-3-16}=1\qquad\text{multiply by -1/2}\\\\4A+1=-19\qquad\text{multiply by -19}\\\\4A=-20\qquad\text{subtract 1}\\\\\boxed{A=-5}\qquad\text{divide by 4}[/tex]

Which is the image of the point (9,-4) after a reflection about line y = 2 then translated along the vector <-2,4>?
A. (7,4)
B. (9,8)
C. (7,0)
D. (7,12)

Answers

Answer: Choice D.  (7, 12)

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

Explanation:

Start at (9,-4). Move 6 units up to arrive at (9,2). This second point is on the horizontal mirror line of y = 2. We move another 6 units to get to (9,8).

Going from (9,-4) to (9,8) represents reflecting over the line y = 2.

Now apply the translation vector <-2,4> which says "shift to the left 2 units and shift up 4 units". That translation vector is the same as writing the rule [tex](x,y) \to (x-2,y+4)[/tex]

Applying that translation to the point (9,8) moves us to (7,12)

Check out the diagram below.

An object is thrown upwards with a speed of 20 m/s. After t seconds, its height can be solved using the formula h = 20t - 4.9t2 where h is the height and t is the time. After how many seconds is the object 19.6 meters high?

Answers

Step-by-step explanation:

h= 20t - 4.9t^2

when h=19.6m

19.6=20t - 4.9t^2

4.9t^2 -20t+19.6=0

solving quadratically

t= 1.64 seconds or t= 2.45 seconds

Johnny bought a Blu-Ray Disc recorder for $280. Now, it's on sale for $220. Find the percent of change in the price. Round to the nearest whole percent if necessary.

Answers

Answer -21.43

Step-by-step explanation:

-21.43

Step-by-step explanation:

cost price :$280

selling price:$220

%profit =sp-cp/cp ×100

%loss=cp-sp/cp×100

%loss=280-220/280 ×100

=60/280 ×100

=21.4285

=21

Crosby had $300 in his checking
account. Over one week, he
withdrew $50, wrote a check for
$20, and deposited $60. What was
his account balance at the end of
the week?

Answers

Answer:

390

Step-by-step explanation:

so 50-20 = 30 30+60= 90

90+300 = 390

Answer:

$290

Step-by-step explanation:

300-50= 250

250-20=230

230+60=290


[tex]f(x) = 1 - 2 x ^{2} [/tex]
[tex]g(x) = x + 1[/tex]
Compute f(g(-1)).​

Answers

Step-by-step explanation:

f(g(x))= f(x+1)

f(g(1))= f(-1+1)= f(0)

f(0)= 1 - 2(0)²

=1-0

=1

Find the x and y intercepts

Answers

Answer:

Below

Step-by-step explanation:

The x-intercepts are the points on the graph where the lines cross the x-axis. This means that whatever the x-intercepts points are, the y's will be 0 :

     (-3,0) and (3,0)

The y-intercept is the point on the graph where the line crosses the y-axis. This means that whatever the y-intercept point is, the x's will be 0 :

     (0,-3)

Hope this helps!


Which of the following is a measure of spread?

1.Range
2.Mean
3.Median
4.Mode
5.All of the above: Mean, Median, Mode, and Range
6.Mean, Median, and Mode only

Answers

Answer: 1. range

Step-by-step explanation: range is the spread of values from lowest to highest in which you will find all the values.

Find the quotient. Your answer should be in simplest form.

-4/5 divided by 8/9

Answers

answer : -9/10

-4/5 times 9/8 = -36/40
Then simplify that you get -9/10

Factor -4 out of -12r + 20.

Answers

Answer:-12r+20=-4(3r-5)

Step-by-step explanation:

Pls mark as brainliest

Answer:

-4(3r + 5)

Step-by-step explanation:

To factor -4 out of -12r + 20, we need to find out what are the factors that can be multiplied with -4 to get a product of -12r and 20.

To get a product of -12, we must multiply -4 by 3r.

And to get a product of 20, we must multiply -4 by -5.

Therefore, the correct answer is: -4(3r - 5)  

Please mark my answers as the Brainliest if you find this helpful :)

216 divied by blank to the third power

Answers

Answer:

6

Step-by-step explanation:

3√216 = 6

or

6 *6 is 36

36 * 6 is 216

Hope this helps!

2. Answer questions (a – d) for the following three data sets.
A = {3, 5, 7, 9, 11, 12, 12} B = {1, 2, 2, 5, 5, 9, 13}
C = {2, 5, 8, 9, 12, 13, 17}

b. Find the standard deviation of each data set.
c. Identify the data set with the largest and smallest standard deviation.
d. Explain what the standard deviations say about the data sets.

Answers

Answer:

The mean is

A. 8.4

B.5.2

C.9.4

Step-by-step explanation:

A= {3,5,7,9,11,12,12}

B= {1,2,2,5,5,9,13}

C= { 2,5,8,9,12,13,17}

A) Find the mean of each data set

B) Find the standard deviation of each data set

C) Identify the data set with the largest and smallest standard deviation

D) Explain what the standard deviations say about the data set

can somebody plsss help me with these 2 questions

Answers

Answer:

no LLLLLLLLLLLLLL

If two lines intersect each other, then the vertically opposite angles are equal​

Answers

Answer:

True

Step-by-step explanation:

Theorem 6.1 : If two lines intersect each other, then the vertically opposite angles are equal. In the statement above, it is given that 'two lines intersect each other'. ... They lead to two pairs of vertically opposite angles, namely, (i) ∠ AOC and ∠ BOD (ii) ∠ AOD and ∠ BOC.

Please help! Determining an unknown angle measure for geometry

Answers

M<3 = 115° is ur answer

4. Which of the following is correctly written in Standard Form?

Answers

I think its A, the equation for it is Ax+By=C
B) y=6/5x+4

Reason:
The standard form for equations is usually y=mx+c


Please mark as a brainliest (crown) above my comment. Would be much appreciated

please answer this and explain I'm having a hard time understanding this​

Answers

Answer:

Step-by-step explanation:

Statement

1 .

m<ACB = 2(x+10)

m <DCE = 5(3x-74)

2. <ABC ≅ <DCE

3.  <ABC = <DCE

4. 2(x+10) = 5(3x-74)

5. 2x+20 = 15x -370

6. -13x = -390

7. x = 30

8. m<ACB = 2(30+10)°

9. m<ACB =80

Reason

1. Given

2. Vertical angles are congruent

3. Congruent angles have equal measure

4. Substitution POE (postulate of equivalence)

5. Distributive property of multiplication over addition and subtraction

6. - POE (subtraction POE- because we subtracted the same amount from both sides of the equation 15x and 20 )

7. division POE (we divided both sides of the equation by -13)

8. Substitution Postulate (we substituted x for 30)

9. Addition and multiplication postulate

Which of the following is a true statement?
a. The sum of two irrational numbers is always an irrational number.
b. The product of two irrational numbers is an irrational number.
c. Every real number is always rational.
d. Every real number is either rational or irrational.

Answers

Answer:

the sum of two irrational number is always an irrationa number

HELP HELP HELP !!!
Which equation shows that the product of a square matrix A and its identity matrix I is A?

Answers

Answer:

Option B

Step-by-step explanation:

The multiplication process of matrices works by multiplying the first row of the  first matrix by the first column of the second matrix. The same goes with the second row of the first matrix by the second column of the other matrix. Below is the solution why option B is the correct answer.

[tex]A = \left[\begin{array}{ccc}8&11\\13&5\\\end{array}\right][/tex]              

[tex]B = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]  ← This is the Identity Matrix.

The attached screenshot shows the solution of the multiplication process. In essence, if you multiply any matrix by the identity (Matrix B), you should end up with your original matrix. Thus, multiplying Matrix A by the Identity matrix results in the same values as Matrix A.                                              

Therefore, the correct answer is B.                                    

How can you tell if an equation (for example, x=16+3y (don’t solve this)) will be represented by a straight line when graphed on a coordinate plane? Is there an easy way to tell or how do you figure that out?

Answers

Answer:

I know it is a straight line because I can convert it into standard or slope intercept form.  An example of when something isn't a straight line is like y=|x|.

x=16+3y

-3y=-x+16

y=1/3x-16/3

An equation where y = whatever and the ALL the variables are to the power of 1, like yours, then the line will be straight.

If the variable looks like x^2 or something, then it will not be a straight line.

1.43x -18/35 what is the answer

Answers

Answer:

18/35= 18.35

= 1.43 - 18/35=?

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