P varies directly with T and p=10 when T=500. When T=509, find T

Answers

Answer 1

Answer:

Let,

P= kT

P = 10, when T = 500

So, 10=k500

or, k=10/500

or, k=1/50

When T=509

P=kT

or, P=(1/50)×509

or, P=508/50

or, P = 10.18

And when P = 509 (since the question isn't clear)

509=(1/50)×T

or, T=509×50

or, T=25450


Related Questions

please answer asap no wrong answers pls

Answers

Hi there!

[tex]\large\boxed{\frac{1}{5}, \frac{21}{5}}[/tex]

In order to set each equation equal to each other, we must have them both equal the same variable.

Rearrange the top equation to make it equal to y:

x - y = -4

Add 4 to both sides and add y to both sides:

x + 4 = y

Now, we can set both equations equal to each other:

x + 4 = 5(x + 1)² - 3

Begin solving by expanding the square binomial:

x + 4 = 5(x² + 2x + 1) - 3

Simplify:

x + 4 = 5x² + 10x + 5 - 3

x + 4 = 5x² + 10x + 2

Bring all terms to one side:

0 = 5x² + 9x - 2

Factor:

0 = (5x - 1)(x + 2)

Set the other factor equal to 0:

5x - 1 = 0

5x = 1

x = 1/5

Plug in this value of x into an original equation:

1/5 - y = -4

1/5 + 4 = y

1/5 + 20/5 = y

y = 21/5

Will Mark Brainlest helpppp plssss​

Answers

Answer:

C = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

Step-by-step explanation:

A = B+ C then

C = A - B

C = [tex]\left[\begin{array}{ccc}2&-5\\-1&4\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&-1\\0&3\\\end{array}\right][/tex] (subtract corresponding elements )

   = [tex]\left[\begin{array}{ccc}2-4&-5-(-1)\\-1-0&4-3\\\end{array}\right][/tex]

   = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

0.25(4f-3)=0.005(10f-9)
Simplify the following

Answers

Answer:

apoco la propiedad asociativa en los siguiente ejercicio 25x11x18=

James wants to tile his floor using tiles in the shape of a trapezoid. To make the pattern a little more interesting he has decided to cut the tiles in half along the median. The top base of each tile is 12 inches in length and the bottom base is 16 inches. How long of a cut will John need to make so that he cuts the tiles along the median? O A. 2 inches B. 4 inches O C. 14 inches O D. 28 inches​

Answers

Answer:

Choice C. 14 inches

Step-by-step explanation:

Middle between 12 and 16 inches.

find the missing length indicated​

Answers

Answer:

240

Step-by-step explanation:

We are given a right triangle. Based on the leg rule, the following equation shows how the length of a leg in a right triangle relates with the segments connected to the hypotenuse:

Hypotenuse/leg = leg/part

Where,

Hypo = 400

Leg = x

Part = 144

Substitute

400/x = x/144

Cross multiply

400*144 = x*x

57,600 = x²

√57,600 = x

240 = x

x = 240

[tex]x + 0.25 = -0.25[/tex]

Answers

Answer:

x = -0.5

Step-by-step explanation:

x + 0.25 = -0.25

x = -0.25 - 0.25

x = -0.5

2. Standard 6.NS.B
Hot dogs come in packages of 10. Hot dog buns come in packages of 8. Elliott would
like to buy the smallest number of hot dog buns and hot dogs so that he will have
exactly one hot dog per bun.
Part A
How many packages of buns and hot dogs must he buy? Show your work and explain
your thinking.

Answers

Answer:

4 packages of hot dogs and 5 packages of hot dog buns.

Step-by-step explanation:

Find the least common multiple of 10 and 8, which is 40.

Please help me with this problem.

Answers

Answer:

1/4a -1/6b + 1/10c

Step-by-step explanation:

1/2 a  -1/3 b + 1/5c   + -1/4a + 1/6 b - 1/10c

Combine like terms

1/2a - 1/4a   -1/3b + 1/6b    +1/5c - 1/10 c

2/4a -1/4a    -2/6b + 1/6b   +2/10c -1/10c

1/4a -1/6b + 1/10c

1/2a-1/3b+1/5c+(-1/4a)+1/6b-1/10c1/2a-1/4a-1/3b+1/6b+1/5c-1/10c2-1/4a-2+1/6b+2+2-1/10c1/4a-1/6b+1/10c

428363939+42724289292952926263938

Answers

Answer:

4.2724289e

+22

Step-by-step explanation:

mzmznznxnxnznxn no n n j j h h h h h h hh h h &

answer: 4.2724289e+22

What is the equation of the graph

Answers

Answer:

[tex]y = 2x^2 + 1[/tex]

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

[tex]y = a*x^2 + b[/tex]

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

[tex]3 = a * (1)^2 + 1\\2 = a[/tex]

Awesome, we've found both values. And we can write the result.

[tex]y = 2x^2 + 1[/tex]

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

Please help me.

List the sides of MNP in ascending order:
m< M = 15, m < N= 75

Answers

Answer:

Take a look at this: https://brainly.com/question/14269575?referrer=searchResults

Step-by-step explanation:

Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
14 units
VX
0 38 units
3x - 1
44 units
2x + 2
49 units
D
2y + 6
С

Answers

Answer:

3rd option, 44 units

Step-by-step explanation:

3x-1 = 2x+2

or, x = 3

so each side, 3×3-1 = 8

4y-2 = 2y+6

or, y = 4

so each side, 4×4-2 = 14

so perimeter

= 2(8+14)

= 44 units

Answered by GAUTHMATH

As an estimation we are told 5 miles is 8 km.
Convert 34.5 km to miles.

Answers

Answer:

The answer is 21.43731

In the number 9663 which places contain digits where one dogit is 10 times as great as the other?

Answers

Answer: Hundreds and tens place values (the two copies of '6')

Explanation:

We're looking for where the digits are the same, which would be those two copies of '6'

The first 6 on the left is in the hundreds place. It represents 600

The other 6 is in the tens place, and it represents 60

The jump from 60 to 600 is "times 10".

a^4+b^4 phân tích thành nhân tử

Answers

a^4+b^4=(a^2)^2+(b^2)^2

=(a^2+b^2)^2–2a^2b^2

=(a^2+b^2)^2—(√ 2ab)^2

=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)

Must click thanks and mark brainliest

Point Q is located at (-4, 6). Point R is located at (8, 6).
What is the distance from point Q to point R?

Answers

Step-by-step explanation:

Hi there!

Given;

Point Q is located at (-4, 6). Point R is located at (8, 6).

Note: Use distance formula.

Now;

[tex](d) = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Keep all values;

[tex](d) = \sqrt{ {(8 + 4)}^{2} + ( {6 - 6)}^{2} } [/tex]

Simplify;

[tex](d) = \sqrt{( {12)}^{2} } [/tex]

Therefore, the distance is 12 units.

Hope it helps!

1 pump can fill a pool in 8 hours the other pump can fill the pool in 10 hours if both of the pumps were turned on at the same time to fill the pool how long will it take

Answers

Answer:

4 4/9 hours

Step-by-step explanation:

In one hour pump1 can fill 1/8 of the tank and pump2 can fill 1/10 of the tank.

Two pumps can fill:

1/8 + 1/10 = 5/40 + 4/40 = 9/40 of the tank in one hour

Time required to fill the tank:

1/(9/40) = 40/9 = 4 4/9 hours

The midpoint of a segment is (6,−4) and one endpoint is (13,−2). Find the coordinates of the other endpoint.

A. (20, -6)
B. (-1, 0)
C. (-1, -6)
D. (20, 0)

Answers

Answer:

(-1,-6)

Step-by-step explanation:

(13 + x)/2 = 6

13+x= 12

x = -1

~~~~~~~~~~~~~~~

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

The coordinates of the other endpoint will be (-1,-6). The correct option is C.

What is the midpoint of the line?

Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that the midpoint of a segment is (6,−4) and one endpoint is (13,−2).

The x- coordinate will be calculated as:-

(13 + x)/2 = 6

13+x= 12

x = -1

The y-coordinate will be calculated as:-

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

Therefore, the coordinates of the other endpoint will be (-1,-6). The correct option is C.

To know more about midpoints of the line follow

https://brainly.com/question/24431553

#SPJ2

Let $x$ be the smallest number in the following list, and let $y$ be the second smallest number (that is, the smallest number other than $x$). \[ 5, \qquad -22, \qquad \frac{-4}{7}, \qquad \frac{-3}{-5}, \qquad 3, \qquad \frac{-8}{13} \]Find $\frac{x-y}{y}$. Express your answer as a fraction in simplest form.

Answers

Answer:

139/4

Step-by-step explanation:

and find that\[

\frac{4}{7}\cdot \frac{13}{13} = \frac{4\cdot 13}{91}=\frac{52}{91}, \text{and}

\]\[

\frac{8}{13}\cdot \frac{7}{7} = \frac{8\cdot 7}{91} = \frac{56}{91}.

\]Thus $\frac{8}{13}$ is larger than $\frac{4}{7}$, which tells us that $-\frac{8}{13}$ is smaller than $-\frac{4}{7}$. Thus, $x=-22$, $y=-\frac{8}{13}$, and\begin{align*}

\frac{x-y}{y}&=\frac{-22-\left(-\frac{8}{13}\right)}{-\frac{8}{13}}\\

&=\left(-22\cdot \frac{13}{13}+\left(\frac{8}{13}\right)\right)\cdot \left(-\frac{13}{8}\right)\\

&=\left(\frac{-286+8}{13}\right)\cdot \left(-\frac{13}{8}\right)\\

&=\left(-\frac{278}{13}\right)\cdot \left(-\frac{13}{8}\right)\\

&=\boxed{\frac{139}{4}}.

\end{align*}

What is the slope of a line that is perpendicular to the line whose equation is
y= 4x – 3?

Answers

Answer:

-1/ 4

Step-by-step explanation:

y = 4x-3  has a slope of 4 because the equation is in slope intercept form

y = mx+b where the slope is m

Perpendicular lines have slopes that are negative reciprocals

-1/ 4 is the slope of a line that is perpendicular to y = 4x-3

Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.

A 3-row table with 10 columns. The first row is labeled essay rank with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The second row is labeled essay score with entries 9.7, 9.5, 9.5, 9.0, 8.9, 8.9, 8.5, 8.4, 8.2, 7.0. The third row is labeled word count with entries 324, 352, 337, 318, 299, 304, 290, 291, 278, 250.

How does the word count of an essay relate to its score in the contest?

Word count tends to decrease as the score decreases.
Word count tends to increase as the score decreases.
Word count tends to remain constant as the score decreases.
Word count has no apparent relationship to the score of the essay.
Unmark this question

Answers

Answer:

The word count tend to decrease as the score decreases

Step-by-step explanation:

The 3-row table is presented as follows;

[tex]\begin{array}{ccc}Essay \ Rank&Essay \ Score&Word \ Count\\1&9.7&324\\2&9.5&352\\3&9.5&337\\4&9.0&318\\5&8.9&299\\6&8.9&304\\7&8.5&290\\8&8.4&291\\9&8.2&278\\10&7.0&250\end{array}[/tex]

The relationship between the values on the Word Count column and the values on the Essay Score column is that as the Essay Score decreases from the top down to the last row, the values on the Word Count generally decreases in the same manner (top down decrease)

Therefore, the Word Count decreases as the Essay Score decreases.

Help what is x
When x^5 is 225

Answers

Answer:

Solution given:

x^5=225

we have

x=[tex] \sqrt[5]{225} [/tex]

x=2.9541

Hello!

[tex] \bf {x}^{5} = 225[/tex]

Extract the radical on both sides of the equation.

[tex] \bf x = \sqrt[5]{225} [/tex]

[tex] \bf x ≈2.95418[/tex]

Answer: x 2,95418

Good luck! :)

Solve the system using the linear combination method.


first equation. 5 x plus y equals 5 second equation. 10 x plus 3 y equals 20

Answers

Answer:

y = 10 , x= -3

Note: I have never hears this called "combination method"

if you research this on-line it is typically called the "elimination" or the  "addition" method.

Step-by-step explanation:

5x + y = 5

10x + 3y = 20

~~~~~~~~~~~~~~~~~~~~~

multiply top equation by -2

-10x + -2y = -10

10x + 3y = 20

y = 10

x= -3

Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.

Answers

Answer:

1/36

Step-by-step explanation:

The only way of getting a total of 11 is rolling a 5 and a 6.

On each dice that is a 1/6 possibility

Multiply both possibilities to get 1/36.

Can someone help me with this pls??

Answers

9514 1404 393

Answer:

  a < -5  or  11 < a

Step-by-step explanation:

For there to be two points of intersection, there must be 2 real solutions to ...

  ax +9 = -2x^2 +3x +1

Rewriting to standard form, we have ...

  2x^2 +(a -3)x +8 = 0

The discriminant of this equation is ...

  B^2 -4AC = (a -3)^2 -4(2)(8) = a^2 -6a -55

We want this to be greater than 0. Factoring, we get ...

  (a -11)(a +5) > 0

This will be true for values of a that are less than -5 or greater than 11.

__

The attached graph shows lines and their points of intersection for a=-6 and a=12. It is not hard to see that for slopes less steep than these values, the lines with a y-intercept of 9 may not intersect the parabola.

Describe the pattern in the following sequence and list the next three terms:
4, 8, 16, 32, ...

I’ll mark brainliest! Please help me

Answers

Ummm it’s kind of easy but this is my way of doing it
Multiples of 4 after continuing 2 digits skip one multiple and continue;-;

Which ordered pair can be plotted together with these four points, so the resulting graph still represents a function?
•(2, -1)

•(2, -2)

•(-2, 2)

•(-1, 2)

Answers

Answer:

-1,2 can be plotted together with these four points ...

The graph of the function f(x) = (x + 2)(x - 4) is shown. Which describes all of the values for which the graph is negative and increasing?

all real values of x where x < -2
all real values of x where -2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0​

Answers

Answer:

C. All real values of x where 1 < x < 4

Step-by-step explanation:

The function is negative below the zeros which would be from -2 to 4.

It would be increasing from the vertex which is 0 to 4.

Therefore, C makes the most sense out of all the choices.

Answer:

C was correct

Step-by-step explanation:

Select all that apply.
What are the angle measures in a 30-60-90 right triangles?
90°
150°
60°
120°
30°

Answers

Answer:

90°,60°&30°

Step-by-step explanation:

A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.

please help asap, see attached photo. This is due in 1 hour!!! please answer both questions. Both 5 and 6

Answers

Answer:

A and C

Step-by-step explanation:

5) logx+log(x+9)=2

log(x(x+9))=2, log(x^2+9x)=2

6) log(x^2+9x)=2

(x^2+9x)=36 or 6^2

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