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3 years ago

Eight and fourteen hundredths as a decimal

Mathematics

1 answer:

nadezda [96]3 years ago

7 0

The answer is 8.14 because the 8 is the whole so it is before the decimal and the 14 is after the decimal.

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Plz i need help please help

harkovskaia [24]

Answer:

The answer is the fourth choice.

Step-by-step explanation:

The fourth choice is the only one that is supplementary.

3 0

3 years ago

A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

4 years ago

Help me for this question please

stealth61 [152]

Answer:70 degrees and 150 degrees

Step-by-step explanation: The angles of a quadrilateral add up to 360. So the sum of the two angles is 360 - (55+ 85) = 220.

After that you can model the sum of the angles with an equation:

7x + 15x = 220

22x = 220

x = 10

then you plug in x for each angle 7(10) = 70 and 15(10) = 150

7 0

3 years ago

Read 2 more answers

Rewrite in interval notation:<br> all real numbers that are greater than -22,

Naily [24]

Answer:

Step-by-step explanation:

all real numbers that are greater than -22 : x > -22

interval notation: ]- 22 ; + ∞ [

3 0

3 years ago

Solve 3x2+7x+1=0 using the quadratic formula.

NNADVOKAT [17]

Answer:

$x=\frac{-7+-\sqrt{37} }{6}$

Step-by-step explanation:

This (±) goes between the $-7$ and $\sqrt{37}$

$3x^{2} +7x+1=0$

$ax^{2} +bx+c$

$-b$ ± $\sqrt{b^2-4ac}$ /2a

$-7$ ± $\sqrt{(7)^2-4(3)(1)}$ /2(3)

$-7$ ± $\sqrt{49-12}$ /6

$-7$ ± $\sqrt{37}/6$

7 0

3 years ago