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viktelen [127]
3 years ago
6

The horizontal position of a point

Mathematics
1 answer:
stira [4]3 years ago
4 0

Ansienidq

scsunacu

Step-by-step explanation:

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4x – 7 = 5x + 2<br> What is X?
Maksim231197 [3]

Answer:

x = -9

Step-by-step explanation:

We are solving for x

Subtract 2 from both sides and you get:

4x - 9 = 5x

Then subtract 4x from both sides:

-9 = x

5 0
3 years ago
Read 2 more answers
A contaminant is leaking into a lake at a rate of R(t) = 1700e^0.06t gal/h. Enzymes that neutralize the contaminant have been ad
olasank [31]

Answer:

16,460 gallons

Step-by-step explanation:

This is a differential equation problem, we have a constant flow of contaminant into the lake, but also we know that only a fraction of that quantity of contaminant remains because of the enzymes. For that reason, the differential equation of contaminant's flow into the lake would be:

\frac{dQ}{dt} =1700exp(0.06t)*exp(-0.32t)\\\frac{dQ}{dt} =1700exp(-0.26t)\\

Then, we have to integrate in order to find the equation for Q(t), as the quantity of contaminant in the lake, in function of time.

\int\limits^0_t {dQ}=\int\limits^0_t {1700exp(-0.26t)dt}\\Q(t)=\frac{1700}{-0.26} exp(-0.26t)+C \\

Now, we use the given conditions to replace them in the equation, in order to solve for C

t_{0} =0\\Q_{0}=10,000\\Q_{0}=-6538exp(-0.26*0)+C\\C=10,000+6538=16538

Then, we reorganize the equation and we replace t for 17 hours, in order to determine the quantity of contaminant at that time:

Q_{t} =-6538exp(-0.26t)+16538\\Q_{17} =-6538exp(-0.26*17)+16538\\Q_{17} =16460 gallons

3 0
3 years ago
Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one blac
dlinn [17]

Solution:

Outfit         Shirt       Slacks        Tie

Outfit 1      Blue        Black         Red

Outfit 2     Blue        Grey          Red

Outfit 3    White       Black         Red

Outfit 4    White       Grey          Red

Outfit 5    Black       Black         Red

Outfit 6    Black       Grey         Red

We take the outfits 1, 2 , 5  and 6 as a subset of the sample space.

So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.

The subset consists of all the outfits that do not have a white shirt.

So the correct options are :

1. (Choice A)

The subset consists of all the outfits that do not have a white shirt.

2. (Choice C)

The subset consists of all the outfits that have a black shirt.

5 0
3 years ago
Samantha is making brownies for the entire staff at Arlington Elementary School
coldgirl [10]
It’s 5 boxes because..


4 x 16 = 64 so that wouldn’t be enough

However:

5 x 16 = 80 which is enough for 73 people

Hope this helps! Have a nice day :)
7 0
3 years ago
Solve for x. Round to the nearest hundredth.<br><br> x/24=0.2083
Harman [31]

Answer:

5 is your answer

Step-by-step explanation:

Isolate the x. Note the equal sign, what you do to one side, you do to the other. Multiply 24 to both sides

(x/24)(24) = (0.2083)(24)

x = (0.2083)(24)

Simplify

x = 4.9992

Round to the nearest hundredths place (underlined & bolded): 4.9<u>9</u>92

Look at the number to the right of the hundredths place. It is a 9. Because 9 is greater than 5, round up

4.9992 rounded to the nearest hundredth place = 5

5 is your answer

~

4 0
3 years ago
Read 2 more answers
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