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sammy [17]
3 years ago
14

What is the slope of the line that passes through the points (-10,5) and (3,4)

Mathematics
2 answers:
steposvetlana [31]3 years ago
8 0

Answer:

-1 / 13

Step-by-step explanation:

(x 1,y1)  = (-10,5)

(x2, y2) = (3,4)

y2 - y1 / x2 - x1

Ede4ka [16]3 years ago
4 0

Answer:

m= -1/13

Step-by-step explanation:

Use the method y2-y1/ x2-x1 to find the slope to this problem. Then you plug in the numbers and solve you will get the answer of -1/13.

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A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
What is the solution to the system of equations of linear equations 2x + 4y = 38 and 10x + 3y = 105
nata0808 [166]
<span>A) 2x + 4y = 38
B) 10x + 3y = 105
Multiplying A) by -5
A) -10x -20y = -190 then adding it to B)
</span><span>B) 10x + 3y = 105

-17y = -85
y = 5
x = 9


</span>
6 0
3 years ago
Solomon can buy four sodas for $6. How much would 6 sodas cost?
zepelin [54]
It would be C. 9.00$. To solve you divide 6/4 and you get 1.50($). And then you multiply 1.50($) by 6 (sodas)!

3 0
4 years ago
Read 2 more answers
How do I simplify this radical?
Yuliya22 [10]
Separate the root expression into the two numbers you found as factors, with each number now under its own square root symbol. For example, sqrt(12) = sqrt(4) times sqrt(3). 3) Keep simplifying. The square root of a perfect square becomes just a number, without theradical<span> square root symbol.</span>
7 0
4 years ago
PLEASE HELP ASAP!!!!!!!!!!!
marusya05 [52]

Answer:(1) The correct option is b. (2) The correct option is c.

Explanation:

(1)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

\angle CFE=\angle DAB

It is given that the angle DAB is 63 degree.

\angle CFE=63^{\circ}

Therefore, the correct option is b.

(2)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

BD=EC

BD=CD+DE

BD=8+10

BD=18

Therefore, the correct option is c.

4 0
3 years ago
Read 2 more answers
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