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3 years ago

Find the equation of the line tangent to the graph at y=e^x at x =a

2 answers:

6 0

Answer: Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line

Step-by-step explanation:

kaheart [24]3 years ago

3 0

Answer:

find derivative of function

sub in x value of point to find gradient of tangent

put gradient into y=(gradient)x+c

Sub in point and solve for c

you have found the equation of the tangent.

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Charlotte biked 4.8 × 104 meters. Mary biked 1.2 × 103 meters. How many times farther did Charlotte bike than Mary?

o-na [289]

I believe that Charlotte bikes 499.2 meters and Mary biked 123.6 meters, so Charlotte would’ve biked 375.6 more meters.

5 0

3 years ago

Read 2 more answers

Haley had 2 blue marbles, 2 red marbles, and 4 green marbles. She gave 1 4 of her marbles to Amy and 2 4 of her marbles to Sue.

Umnica [9.8K]

The amount is 6.
Hope you have a nice day.

7 0

3 years ago

A one year membership to metro gym costs $460. There is a fee of $40 when you join, and the rest is paid monthly. Write an equat

zysi [14]

Answer: The equation that would help members to find how much they would pay per month is

40 + 12x = 460

Step-by-step explanation:

Let x represent the amount of money that members would pay per month.

Let y represent the number of months for which a member uses the gym.

There is a fee of $40 when you join, and the rest is paid monthly. This means that the cost of using the gym for x months would be

40 + xy

A one year membership to metro gym costs $460. Therefore are 12 months in a year. Therefore,

40 + 12x = 460

12x = 460 - 40 = 420

x = 420/12 = 35

The equation that would help members to find how much they would pay per month is

8 0

3 years ago

In a certain game of chance, your chances of winning are 0.3. Assume outcomes are independent and that you will play the game fo

sergeinik [125]

Answer:

0.6517

Step-by-step explanation:

Given that in a certain game of chance, your chances of winning are 0.3.

We know that each game is independent of the other and hence probability of winning any game = 0.3 (constant)

Also there are only two outcomes

Let X be the number of games you win when you play 4 times

Then X is binomial with p = 0.3 and n =4

Required probability

= Probability that you win at most once

= $P(X\leq 1)\\=P(X=0)+P(X=1)$

We have as per binomial theorem

P(X=r) = $nCr p^r (1-p)^{n-r}$

Using the above the required prob

= 0.6517

3 0

3 years ago

It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bott

Setler [38]

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

5 0

3 years ago