If y varies directly as x^2 and y=12 when x=2, find y when x=5

Answers

Answer 1

Answer: $y=ax^2\n\ny=12\ \ \ and\ \ \ x=2\ \ \ \Rightarrow\ \ \ 12=a\cdot 2^2\ \ \ \Rightarrow\ \ \ a= (4)/(12)= (1)/(3) \n\ny=(1)/(3) x^2\n\nx=5\ \ \ \Rightarrow\ \ \ y=(1)/(3) \cdot5^2=(25)/(3) =8(1)/(3)$

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The function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400
The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?x^2 + x = 42 x^2 + 2x = 42 x^2 + x + 42 = 0 x^2 + 2x + 42 = 0

Eddie is single and receives his pay biweekly. His annual salary as a tailor for Whyte and Broom is $21350

Answers

Answer:

Eddie is a single tailor working for Whyte and Broom, and he receives his pay biweekly. His annual salary is $21,350.

To calculate Eddie's biweekly pay, we need to divide his annual salary by the number of pay periods in a year. Since Eddie receives his pay biweekly, there are 26 pay periods in a year (52 weeks divided by 2).

To find Eddie's biweekly pay, we can use the following formula:

Biweekly Pay = Annual Salary / Number of Pay Periods in a Year

Biweekly Pay = $21,350 / 26

Biweekly Pay ≈ $821.15 (rounded to the nearest cent)

Therefore, Eddie's biweekly pay is approximately $821.15.

Please let me know if there's anything else I can help you with.

Alli <3

Final answer:

Eddie's biweekly salary is $821.15 and his annual salary is $21,350.

Explanation:

The subject of this question is Mathematics. Given that Eddie is single and receives his pay biweekly, we need to calculate his biweekly salary and then convert it to an annual salary. To calculate Eddie's biweekly salary, we divide his annual salary by the number of biweekly periods in a year. Since there are 26 biweekly periods in a year, we divide $21,350 by 26 to find that Eddie's biweekly salary is approximately $821.15.

To convert Eddie's biweekly salary to an annual salary, we multiply his biweekly salary by the number of biweekly periods in a year. Multiplying $821.15 by 26 gives us an annual salary of approximately $21,350.

Therefore, Eddie's biweekly salary is $821.15 and his annual salary is $21,350.

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If there are 5 family members all exchanging gifts, how many gifts are exchanged?If you could give an explanation too, that would be great! Thanks so much!

Answers

I think 20 gifts would be exchanged because each family member has to exchange 1 gift to everyone

What the algebraic expression for the difference of 8 and a number?

Answers

$8-n$
...........

Four times the difference of eight and a number:

Step-by-step explanation:

Translate the following equation into words: 5c - 4 = 11 Five, times a number minus four, is eleven. A number, times five minus four, is eleven. Five times a number, subtracted from four, is eleven. Four less than the product of five and a number, is eleven.

Answers

the answer is five times a number, subtracted from four, is eleven.

Answer:c

Step-by-step explanation:

TOPIC: simultaneous linear equations

p + 2q = 3,
p - 2q = 3

Answers

Answer:

p=3 q=0

Step-by-step explanation:

p+2q=3

p-2q=3

p+2q=3

p=3-2q---------eqn i

p-2q=3

3-2q-2q=3

3-4q=3

-4q=3-3

q=0÷-4

q=0

putting the value of q in equation i

p=3-2q

=3-2×0

Answer:

p=3

q=0

Step-by-step explanation:

Adding both the equation

p+2q=3

+ p-2q=3

------------

2p=6

p=3

putting value of p in any of the above equation we will get the value of q.

3+2q=3

2q=0

q=0

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Find the measures of the numbered angles for each parallelogram. (See attachment)

Answers

Since the figure is a parallelogram, angle 3 is an alternate interior angle with the 50 deg. angle. Hence, m<3 = 50 deg. Angle 2 is supplementary with 82 deg. angle, therefore m<2 = 180 deg - 82 deg = 98 deg. Using angles 2 and 3, angle 1 can be calculated since the total interior angle of a triangle is 180 deg. m<1 = 180 - 98 - 50 = 32 deg.
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<2 = 180 - 82 = 98

<3 = 50

<1 = 180- ( 98 + 50)
<1 = 180 -148
<1 = 32

answer:
<1 = 32
<2 = 98
<3 = 50

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What’s the answer to 3x/x+5+7/x+5

A circle is centered at K(0,0)K(0,0)K, left parenthesis, 0, comma, 0, right parenthesis. The point U(6,-4)U(6,−4)U, left parenthesis, 6, comma, minus, 4, right parenthesis is on the circle.Where does the point V(\sqrt{2},-7)V( 2 ,−7)V, left parenthesis, square root of, 2, end square root, comma, minus, 7, right parenthesis lie?