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nordsb [41]
4 years ago
6

Find a quadratic equation whose solution is -5 (only solution)

Mathematics
1 answer:
alukav5142 [94]4 years ago
5 0
X2-6x+5 is the quadratic eqution
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After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.
laila [671]

Answer:

  • Question 1: 0.081 min⁻¹
  • Question 2: 168ºF

Explanation:

The missing equation is:

             T=T_a+(T_0-T_a)e^{-kt}

You are given:

  • Ta = the temperature surrounding the object = 73ºF
  • T₀ = the initial temperature of the object = 204ºF
  • t = 2.5 min
  • T after 2.5 min = 180ºF

Question 1: Find the the value of k.

Substitute the data into the equation and solve for k:

          180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

            T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF

4 0
4 years ago
To cook rice for 8 people the proportion of rice to water is 1 cup of rice for 2 of water. If Ms. Dolores wants to make rice for
Natali5045456 [20]

Answer:

3:6? I tried U-U

Step-by-step explanation:

8 x 3 = 24

1:2 x 3 = 3:6

7 0
3 years ago
Please Help Me On This
anastassius [24]

Answer:

X2 = (-2, 1), W2 = (-4, 1), Y2 = (4, -2), Z2 = (-3, 2)

Step-by-step explanation:

First, flip across the y-axis:

Coordinates: X1 = (2, -1), W1 = (4, -1), Y1 = (2, -4), and Z1 = (3, -2)

Then, rotate 180 degrees counterclockwise:

Coordinates: See above

5 0
4 years ago
Tickets to a baseball game are 20 dollars for an adult and 15 dollars far a student. A school bus tickets for 45 adu6and 600 stu
yulyashka [42]

Answer:The total amount of money that the school will spend for tickets is $9900

Step-by-step explanation:

Tickets to a baseball game are 20 dollars for an adult and 15 dollars for a student. A school bus tickets for 45 adults and 600 students. This means that the total amount spent by the school on adult tickets is 20 × 45 = $900

The total amount spent by the school on students tickets is 15 × 600 = $9000

The total amount of money that the school will spend for tickets will be the sum of the amount spent on adult tickets and student tickets. It becomes

900 + 9000 = $9900

4 0
3 years ago
A line with a slope of 0 passes through the point (10, 6). What is its equation in slope-intercept form?​
qaws [65]

Answer:

The slope is 0, then the line is horizontal.

y = 6

Step-by-step explanation:

6 0
2 years ago
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