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mylen [45]
3 years ago
7

The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot

.
When H = 4, T = 700.
Work out T when H = 14
Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

200

Step-by-step explanation:

T = x * (1/H)

x = T*H

x = 2800

so for H = 14

T = 2800 * (1/14) = 200

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Please answer number 29 ASAP
Effectus [21]

h = 5b - 2

\frac 1 2 b h= 36

b(5b - 2) = 72

5b^2 - 2b - 72 = 0

(b - 4)(5b + 18) = 0

b = 4 \textrm{ or }b = -18/5

We can rule out the negative length.

h = 72/b = 72/4 = 18

Answer: b=4, h=18


3 0
3 years ago
Read 2 more answers
Given the function f(x) = -3x2 + 4x + 6, find f(2) and f(3). Choose the statement that is true concerning these two values.
denis23 [38]

Answer:

The value of f(2) is larger than the value of f(3).

Step-by-step explanation:

f(x) = -3x^{2} +4x+6\\f(2) = -3*2^{2} +4*2+6=2\\f(3) = -3*3^{2} +4*3+6=-9\\

3 0
3 years ago
Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, a parallelogram, or none. List all that apply. Explain
svlad2 [7]

Answer:

  • ABCD is a rhombus, and a parallelogram

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

<h3>Given </h3>

  • Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)

First, plot the points (see attached picture).

Then, connect all the points.

<h3>We see that:</h3>

  • Opposite sides are parallel,
  • Diagonals are perpendicular.

From our observation the figure is rhombus.

Let's confirm it with the following.

1) Find midpoints of diagonals and compare.

  • AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
  • BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2

The midpoint of both diagonals is same (- 2, 2).

2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.

  • m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
  • m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3

  • m(AC) × m(BD) = 3/4 * (- 4/3) = - 1

<u>Confirmed.</u>

So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.

5 0
1 year ago
A soccer team is saving money to buy new uniforms. The total cost for the uniforms is $88.74. There are 9 players on the team, a
Paul [167]

Answer: A

Step-by-step explanation: $88.74÷9=$9.86

$88.74 is the total amount

9 players, and each player has to pay the same amount

we have to divide it evenly in 9 pieces, so we divide $88.74 into 9 groups which then equals $9.86

Hope this helps!

7 0
3 years ago
Write an equation in slope-intercept form for the line that satisfies the following condition.
a_sh-v [17]
You use y=mx+b and you get y=6x-33
5 0
3 years ago
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