Consider the functiony = 3x^5 - 25x^3 + 60x+ 1. Use the first derivative test to decide whether this function has a maximum at x = 1. Which of the following describes what you found?

A. The derivative is positive to the left of x = 1 and positive to the right of x = 1, so the function has neither a relative maximum nor a minimum at x = 1.

B. None of these apply

C. The derivative is negative to the left of x = 1 and positive to the right of x = 1, so the function has a relative minimum at x = 1.

D. The derivative is positive to the left of x = 1 and negative to the right of x = 1, so the function has a relative maximum at x = 1.

E. The derivative is positive to the left of x = 1 and negative to the right of x = 1, so the function has a relative minimum at x = 1.

Answer:

a) 41.666...%

b) 10/120 or 1/12

Step-by-step explanation:

50 students like volleyball and tennis out of 120 students surveyed. 50/120 as a percent is 41.6666666...%

10 students like volleyball but not tennis out of 120 students surveyed. 10/120 can also simplify to 1/12

:) ur welcome

Answer:

C

Step-by-step explanation:

Answer:

d. none of these

Step-by-step explanation:

Area of square= side ×side

Let x meters be the length of a side of the square.

Perimeter= 4(side)

4x= 40

Dividing by 4 throughout:

x= 40 ÷4

x= 10

Area of garden

= x²

= 10²

= 100m²

Answer:

d

Step-by-step explanation:

Answer:

-3/4 meters could represent where the emerald is located in.

Step-by-step explanation:

Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. -0.75 or -3/4 could represent the depth at which the emerald is located.

Ignoring 12/6 date. . .Anyways, to find the answer first you have to look at all answers and figure out which negative numbers are between -1/2 and -1 2/3.

Long story short your answer is -3/4 meters :D

Answer:

- 8x + 17

Step-by-step explanation:

7(2 - x) - (x - 3)​

14 - 7x - x + 3

- 8x + 14 + 3

- 8x + 17

Answer:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos\theta =-\frac{5}{13}\text{ where $\theta$ is in QII}[/tex]

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using the Pythagorean Theorem, solve for the opposite side (we can ignore the negative for now):

[tex]o=\sqrt{13^2-5^2}=12[/tex]

And since θ is in QII, sine is positive, and cosine and tangent are both negative.

Sine is the ratio of the opposite side to the hypotenuse. Therefore:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

Answer:

x= 52

Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?

Answer:

3c + 9

Step-by-step explanation:

Remember to multiply everything in the brackets by the number outside the brackets.

Answer:

x = 65 degree

Step-by-step explanation:

x + 115 = 180 degree (sum of adjacent angles of a parallelogram is 180 degree)

x = 180 - 115

x = 65 degree

Answer:

y=x2 -10

Step-by-step explanation:

it is because x is squared

Answer:

A

Step-by-step explanation:

3 goes into 9

4 goes into 12

And 5 goes into 20

Answer:

The answer is B. 0.1131 because the molecule has been observed and the hill is upwards so there you have

Answer:

11:30 A.M.

Step-by-step explanation:

Answer:

11:30

Step-by-step explanation:

12.05- 35 min and its 11:30

hope that helps bby<3

Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Step-by-step explanation:

Given

ABCD is a parallelogram

Side AD is 9 cm more than twice AB i.e.

[tex]AD=9+2AB[/tex]

Also, for parallelogram

[tex]\Rightarrow AB=CD,BC=CD[/tex]

Perimeter is the sum of the sides

[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]

So, [tex]AD=35\ cm[/tex]

Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Answer: AB=11

AD=31

BC=31

CD=11

Step-by-step explanation:

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.

Answer:

4. 56 ft²

Step-by-step explanation:

SA = (4×4)+(4×½×4×5)

= 16+40

= 56

Answer:

C. Midsegment

Step-by-step explanation:

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.

The picture below is just an example of what midsegments look like. If you draw out triangle CVR, put points in between CR and CV, and draw a line connecting the two points. You'll see that it looks exactly like a midsegment.

The term "midsegment" is being used to denote the ST segment.

A midsegment is a line that connects the midpoints of 2 triangle edges. A triangle's midsegment is half the size of the triangle's 3rd side and runs parallel to it.

If we create a triangle CVR, insert points across CR and CV, and link the two points with a line.

So, Option "C" is the correct answer to the following question.

Learn more:

https://brainly.com/question/2273557?referrer=searchResults

Answer:

5.2 degrees the mountain slope forms with the ground at sea level

The angle that the mountain slope forms with the ground at sea level is 20.64°

"The distance covered by an object in unit time."

"The longest side of a right triangle."

"In a right triangle for angle θ ,

sin(θ) = opposite side / hypotenuse "

For given example,

Consider the following figure for given example.

Sam starts skiing at the peak 97 yards above sea level.

⇒ XY = 97 yards

He skis down the mountain at a rate of 1.5 yards per second.

⇒ speed = 1.5 yards per second

It takes him 3 minutes to reach flat ground at sea level.

⇒ t = 3 minutes

⇒ t = 180 seconds

XZ is the distance between peak of a mountain and the ground.

Using speed formula,

⇒ speed = XZ / times

⇒ 1.5 = XZ / 180

⇒ XZ = 1.5 × 180

⇒ XZ = 270 yards

This means the hypotenuse of right triangle XYZ is 270 yards.

Now, we need to find the angle that the mountain slope forms with the ground at sea level.

[tex]\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}[/tex]

Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°

Learn more about sin(θ) here:

https://brainly.com/question/1870057

#SPJ2

Answer:

Step-by-step explanation:

the range of f(x) = 4x + 6 is all real numbers

Answer:

it's a linear function, so the range is all real numbers

Answer:

1 : 2

Step-by-step explanation:

the ratio is 1 : 2

_____

Answer:

The answer after rounding is 24

Step-by-step explanation:

You would round down 3.4 to 3 and round up 7.5 to 8

3 x 8 = 24

The actual answer of 3.4 x 7.5 is 25.5, so 24 isn't too far off.

Answer:

Since you didn't ask for the answer

Step-by-step explanation:

sec(∆)=1/cos(∆)

For the above diagram,cos(∆)=15/17

sec(∆)=1/(15/17)

NOTE:I replaced theta

Answer:

Kindly check explanation

Step-by-step explanation:

From the boxplot attached :

Summer lake :

Median = 60 ( point in between the box)

Variability is given by the Range = maximum - minimum = 80 - 40 = 40

Maximum number of visitors = 80

Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day

Canyon Overlook:

Median = 80 ( point in between the box)

Variability is given by the Range = maximum - minimum = 120 - 30 = 90

Maximum number of visitors = 120

Answer:the same?

4y=-3x+20

I’m not quite sure

Answer: (b)

Step-by-step explanation:

Given

Point P can be written as [tex]z=2-5i[/tex]

Distance of Point P can be given by [tex]\left | z \right |[/tex]

[tex]\Rightarrow \left | z\right |=\sqrt{2^2+(-5)^2}\\\Rightarrow \left | z\right |=\sqrt{4+25}\\\Rightarrow \left | z\right |=\sqrt{29}[/tex]

Thus, option (b) is correct.

Answer:

the answer is b

Step-by-step explanation:

Answer:

i thinh 20 in

Step-by-step explanation:

Answer:

20pi in

Step-by-step explanation:

The formula for the circumference of a circle is 2\pi r

R is radius

2 * pi * 10

20 pi

Units - 20 pi in.