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GarryVolchara [31]
2 years ago
15

PLS DO THIS :(( I WILL GIVE U BRAINLEST its a pdf!!

Mathematics
1 answer:
Sliva [168]2 years ago
7 0
I cant see the picture :(
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A point P is moving along the curve whose equation is y = \sqrt x . Suppose that x is increasing at the rate of 4 units/s when x
Mice21 [21]

Answer:3 units/s

Step-by-step explanation:

Given

y=\sqrt{x}

Point P lie on this curve so any general point on curve can be written as (x,\sqrt{x})

and \frac{\mathrm{d} x}{\mathrm{d} t}=4 units/s

Distance between Point P and (2,0)

P=\sqrt{(x-2)^2+(\sqrt{x}-0)^2}

P at x=3 P=2

rate at which distance is changing is

\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{\mathrm{d} \sqrt{(x-2)^2+(\sqrt{x}-0)^2}}{\mathrm{d} t}

\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{2x-3}{\sqrt{(x-2)^2+(\sqrt{x}-0)^2}}\times \frac{\mathrm{d} x}{\mathrm{d} t}

\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{2\times 3-3}{2\times 2}\times 4=3 units/s

8 0
3 years ago
Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irr
Colt1911 [192]

Answer:

Rational numbers are fractional numbers, whose numerator and denominator are integers and the denominator is ever zero.

Step-by-step explanation:

The sum of rational numbers gives a rational number;

   \frac{1}{3}  + \frac{1}{3} = \frac{2}{3} , because the evaluation of the denominator always results to a non-zero integer.

The product of  \frac{1}{3} x \frac{1}{3} = \frac{1}{9}, which multiply both numerator and denominator to give integer numbers.

The sum and product of rational and irrational numbers are always irrational numbers, for instance,

           \frac{1}{3} x 7 = 2.3 , which is a number which decimal points that can only be represented by the product irrational number and rational number , where 7 is an irrational number.

       \frac{1}{3} + 7 =  7\frac{1}{3} , which is a whole number and fractional number combined.

4 0
3 years ago
What is the commom difference in the following arithmetic sequence??
aalyn [17]
Each increases by a certain amount called the common difference

4.4-2.8=1.6
6-4.4=1.6
7.7-6=1.7
hmm, some error
maybe you meant 7.6

common difference is 1.6

answer is C
5 0
3 years ago
What are the common denominator for 4/5and 1/3
Maru [420]

Answer:

15 is the answer hope this helps

7 0
2 years ago
Read 2 more answers
How big is the home field advantage in the National Football League (NFL)? To investigate, we select a sample of 80 games from t
ElenaW [278]

Answer:

0.74 to 6.06

Step-by-step explanation:

The groups are independnet,

SE(xh bar-xa bar)=sqrt [sh^2/nh+sa^2/na]=sqrt [10.1^2/80+10.3^2/80]=1.61

At df=157, the t critical is 1.65

90%c.i=(xh bar-xa bar)+-tcritical SE(xh bar-xa bar)

=(25.2-21.8)+-1.65*1.61

=0.74 to 6.06

5 0
3 years ago
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