All categories

2 years ago

PLEASE HELP ASAP!!!!! For the function f(x) = x2 + 3, what are the outputs for the inputs -3, 2, 0, and 5?

Mathematics

1 answer:

DaniilM [7]2 years ago

6 0

Switch the x for -3, 2, 0, and 5 so the answer will be B

You might be interested in

there are 77 students in the student council. The ratio of girls to boys is 7:4. How many girls are in the student council? What

madam [21]

Out of every 11 students 7 were girls. Set up the following proportion.

11/7 = 77/x Cross multiply
11x = 7*77
x = 7*77/11
x = 49

49 of the student council members were girls.

4 0

3 years ago

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

$T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794$

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

$145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}$

$ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes$

4 0

3 years ago

Find the area of the blue sector(s). The diameter is 14.

pav-90 [236]

The area of the entire circle is pi*(7)^2, or 49pi.

Due to the 90 degree angle, the area of the larger blue sector is

------- * 49 pi = 49/4 units^2

360

The area of the smaller blue sector is

------- 49 pi = (2/15)(49 pi) = 98 pi/15 units^2

360

The total area of the blue sectors is the sum of 98 pi/15 and 49 pi/4 (units^2):

59 units^2

5 0

3 years ago

I will give brainliest! Which number has a 3 with a value that is 100 times greater than the values of the 3 in 20.342?

elena-s [515]

Answer:

36.25 and 307.18

Step-by-step explanation:

both are 100 times greater than 20.342.

7 0

3 years ago

Read 2 more answers

The perimeter of a rectangular field is 356 yards. If the length of the field is 96 yards, what is its width?

Marina86 [1]

Let x equal the width. Since the length of the base is 96 yards, multiply that times 2 for 192. Then using the parameter formula 2w+2b=P, you get 2x+192=356. Subtract both sides by 192, then divide by 2.

5 0

3 years ago