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3 years ago

Identify an equation in point-slope form for the line perpendicular to y= 3x+ 5.

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

5 0

Answer:

y+1=-1/3(x-4)

Step-by-step explanation:

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Have to bake a lot of brownies to sell! You have plenty of flour, cocoa, milk, and oil, but you only have 6 1/2 sticks of butter

Tems11 [23]

Answer: 8 + 2/3 batches of brownies you can bake.

Step-by-step explanation:

6 1/2 butter = 6 + 1/2 = (2·6 + 1)/2 = 13/2 sticks of butter, we have this

Since we have 13/2 sticks of butter and each batch of brownies needs 3/4 of a stick of butter, we have to divide the amount of butter we have between the amount of butter we use to bake a batch of brownies.

13/2 butter ÷ 3/4 butter/batch = 13·4/2·3 batches = 52/6 batches = 8 + 2/3 batches

Answer: 8 + 2/3 batches of brownies you can bake.

$\textit{\textbf{Spymore}}$

4 0

3 years ago

Josie bought four lollipops for 65 cents each. She paid with a five-dollar bill. How many cents will she get back?

Murrr4er [49]

Answer:

240 cents

Step-by-step explanation:

Given that,

cost of one lollipop = 65 cents

total amount Josie need to paid = 65 * 4 cents = 260 cents

amount Josie gave = $5

As we know

$1 = 100 cents

$5 = 100 * 5 cents

= 500 cents

number of cents Josie will get back

500 - 260

240 cents or $2.40

So, Josie will get 240 cents back

3 0

3 years ago

(5x^4y^7)(6x^2y)= ?I don't know how to do this I need step by step

Elza [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

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

What are the possible values of x if (4x – 5)2 = 49? Check all that apply.

grin007 [14]

Answer:

3, -1/2

Step-by-step explanation:

(4x – 5)^2 = 49

Take the square root of each side

sqrt((4x – 5)^2) = ±sqrt(49)

4x-5 = ±7

Add 5 to each side

4x -5 + 5 = 5 ±7

4x = 5±7

Divide each side by 4

4x/4 = (5±7)/4

x = (5±7)/4

First take the positive

x =( 5+7) /4 = 12/4 = 3

Then the negative

x = (5-7) /4 = -2/4 = -1/2

8 0

4 years ago

Read 2 more answers