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stiv31 [10]
3 years ago
15

Estimate the slope of the tangent line of the function y(t)=\sqrt{(3t+1} at the point t=2.

Mathematics
1 answer:
Korvikt [17]3 years ago
7 0

Answer: 0.567

Step-by-step explanation:

y(t)=\sqrt{3t+1} \\\\y'(t)=\dfrac{3}{2\sqrt{3t+1} } \\\\y'(2)=\dfrac{3}{2\sqrt{3*2+1} } =\dfrac{3\sqrt{7} }{14} =0,56694670951384084082177480435127\approx{0.567}

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To reach a vacation spot, the Jones family first traveled by plane and then drove the
navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the  distance by plane.

y = x - 125    => x=y+125  Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500   Eqn 2

Putting value of x from Eqn 1;

(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625

Putting y=625 in Eqn 1

x=625+125\\x=750

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/10435816
  • brainly.com/question/10435836

#LearnwithBrainly

3 0
3 years ago
(11x – 6x2 – 8)/(3x – 1)
kozerog [31]

Answer:

46.6

Step-by-step explanation:

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6 0
3 years ago
Determine a scalar c so that the angle between a = i + cj and b = i + j is 45°.​
Marina CMI [18]

Answer:

c=0

Step-by-step explanation:

ATQ a.b=|a||b|sin(45)

1+c=sqrt(1+c^2)*sqrt(2)*1/sqrt(2)

1+c=sqrt(1+c^2)

(1+c)^2=(1+c^2)

2c=0, c=0

6 0
3 years ago
At the fabric store, Marisela spends $9.00 on 1 1/8 yards of fabric. How much does one yard of fabric cost?
Margaret [11]

Answer:

8 dollars

Step-by-step explanation:

First, convert the yards to decimals, 1/8 is equivalent to .125, therefore 1 1/8 yards is 1.125

Next, since we know that 1 1/8 yards of fabric is $9, we can divide 9 by 1.125 in order to find the cost of one yard of fabric

9/1.125=8, therefore your final answer is $8

Don't forget to put units if this is a test question (or practically in any case), the unit in this case is $(dollars)

8 0
4 years ago
Find the area of the shape .
weqwewe [10]

Answer:

3.14

Step-by-step explanation:

A=π*r^2

3.14*(2^2)

3.14*4

12.56/4 (because it's 1/4th a circle)

3.14.

3 0
3 years ago
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