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Anni [7]
2 years ago
7

the number of hours h that it takes for ice to malt varies inversely with the temperature t it takes 3hours for a piece of ice t

o melt at 45°c fine (a) the constant of variation (b) the equation for this situation in the form h=k÷t (c) the value of t if h=4 hours​
Mathematics
1 answer:
Reptile [31]2 years ago
6 0

Answer:

Step-by-step explanation:

Formula

h = k/temp

Givens

h = 4 hours

t = 45 degrees

Solution

3 = k / 45                  Multiply both sides by 45

3*45 = k

k = 135

Problem

what happens when h = 4 hours?

h = 4

k = 135

temp = ?

4 = 135 / temp       Multiply both sides by temp

4temp = 135          Divide by 4

temp = 135 / 4

temp = 33.75

Note that as the time went up, the temperature came down

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HELPPPPPPP on this question.! I need to pass.
timurjin [86]

9514 1404 393

Answer:

  12.25 (or -18.75)

Step-by-step explanation:

If you pay attention to the square of a binomial, ...

  (x -a)² = x² -2ax +a²

You see that the constant (a²) is the square of half the x-coefficient. That is, the x-coefficient is -2a, half that is -a, and the square of that is (-a)² = a².

In your equation, the x-coefficient is -7, half that is -3.5, and the square of that is 3.5² = 12.25.

So, you can think of this ambiguous question in a couple of ways.

<u>Concern is only with the x-terms</u>:

  x² -7x +31 = (x² -7x +12.25) +31 = 12.25 . . . . . . add 12.25 to both sides

  (x -3.5)² +31 = 12.25 . . . . write the x-terms as a square

<u>Concern with the equation overall</u>:

You want the end result to have the x-terms in the form of the square ...

  (x -3.5)² = x -7x +12.25

The left side of the equation can be put in that form by adding -18.75 to both sides;

  x² -7x +31 -18.75 = -18.75 . . . . . . add -18.75 to both sides

  x² -7x +12.25 = -18.75 . . . . . . . . . simplify

  (x -3.5)² = -18.75 . . . . . . write the left side as a square

__

The short of it is that we're not sure what the question is asking for exactly. The "help video" would probably clarify the intent. Most likely, you're concerned with adding the square of half the x-coefficient, 12.25.

3 0
2 years ago
If the discriminant is negative then the quadratic has
zepelin [54]

Answer:

No <em>real</em> solutions (or has two complex roots)

Step-by-step explanation:

The discriminant, <em>b</em>² - 4<em>ac</em>, is the expression (<u><em>radicand </em></u>) of the quadratic equation:

x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}.

The value of the discriminant determines the <u>nature</u> and the <u>number of solutions</u> given by the quadratic equation.

A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.  

4 0
2 years ago
Joey has a full 40 coins consisting of only quarters and nickels if the total value is $5.00 how many of each does joey have.
Archy [21]
Q + n = 40....q = 40 - n
0.25q + 0.05n = 5

0.25(40 - n) + 0.05n = 5
10 - 0.25n + 0.05n = 5
-0.25n + 0.05n = 5 - 10
 - 0.20n = -5
n = -5 / -0.20
n = 25 <=== 25 nickels

q + n = 40
q + 25 = 40
q = 40 - 25
q = 15 <== 15 quarters
7 0
3 years ago
Read 2 more answers
The unit price for a Sundae ice cream is $400 , GCT is 8% calculate the cash price for ice cream
Trava [24]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
The confidence interval based on the two-sample design is wider because there is considerable variation in mileage between the c
vovikov84 [41]

Answer:

The confidence interval based on the paired design is wider because there is little variation in mileage between the cars.

Step-by-step explanation:

The sample size randomly collected is matched sample and since the confidence interval is based on the paired design is large and wide. There is small variation between the mileage of the two cars indicating the cars have mileage based on the fuel.

5 0
3 years ago
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