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DiKsa [7]
2 years ago
9

14. Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate

Mathematics
1 answer:
Klio2033 [76]2 years ago
3 0

Answer:

-68/7

Step-by-step explanation:

slope1 of Car 1 that pass (-5,-8) (2,7)

= (y1-y2)/(x1-x2)=(2-(-5))/(7-(-8))=7/15

Slope2 of car 2 that pass (5,1) (10,y)

slope 1 and slope2 are perpendicular =>slope 2 =-15/7

make slope2 y=(-15/7)x+b

for it pass(5,1) => 1=(-15/7)5+b =>b=82/7 => y=(-15/7)x+82/7

put (10,y) in => y=(-15/7) 10+82/7=-68/7

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A. Sin40=6/x<br> B. Sin40= x/6<br> C. Cos40= x/6<br> D. Cos40=6/x
STatiana [176]
The answer is A. sin40=6/x
7 0
3 years ago
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
Please help on 7 to be marked the brainliest
sweet [91]

Answer:

  D)  3.57%

Step-by-step explanation:

The percentage change is given by ...

  percent change = ((new value) -(old value))/(old value) × 100%

  = (3.19 -3.08)/3.08 × 100% = 0.11/3.08 × 100% = (11/3.08)% ≈ 3.57%

__

When dealing with percentages, you need to be clear about what number represents 100%, the reference value against which errors or changes are measured. Here, it is the π of the mug, 3.08.

7 0
3 years ago
After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil ide
dimaraw [331]

Answer:

The revised probabilities are;

The probability of finding soil with oil  = 0.8  

The probability of finding soil with good oil = 0.16

The probability of finding medium quality oil =  0.64

Step-by-step explanation:

The given probability of finding soil with high quality oil, P(QO) = 0.20

The probability of finding soil with medium-quality oil, P(OM) = 0.80

The probability of finding soil with no oil, P(ON) = 0.2

Therefore, given that the probability of finding soil with no oil = 0.2, we have;

The probability of finding soil with oil, P(OP) = 1 - the probability of finding soil with no oil

P(OP) = 1 - 0.2 = 0.8

Which gives;

The probability, P(FG) of finding soil with oil and that the oil is good is given as follows;

P(FG) = P(QO) × P(OP) = 0.2 × 0.8 = 0.16

The probability of finding good oil = 0.16

Similarly;

The probability of finding medium quality oil P(FM) =  P(OM) × P(OP) = 0.8 × 0.8 = 0.64

Which gives the revised probability as follows;

The probability of finding soil with oil, P(OP) = 0.8  

The probability of finding soil with good oil, P(FG) = 0.16

The probability of finding medium quality oil, P(FM) =  0.64.                

3 0
2 years ago
a right rectangular prism has a length of 8 centimeters width of 10 centimeters and height of 10 centimeters the volume of the p
nata0808 [166]

Answer:

800

Step-by-step explanation:

8*10*10=

8*10=

80*10=

800cm.

i broke up the problem. hope this helps!

4 0
3 years ago
Read 2 more answers
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