Area as a function of x = Domain of the function of the area =

Answer:

A function is continuous when its graph is a single unbroken curve ... ... that you could draw without lifting your pen from the paper. That is not a formal definition, but it helps you understand the idea.

Step-by-step explanation:

hope this helps ya

Answer:

answer is c hope this helps

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

When the equation of a line is given in the form y = mx + b like this is, the slope is simply the m value!

Answer:

19 1/2 miles

Step-by-step explanation:

Answer:

B. {2, 4, 6, 8}

Answer:

384 inches²

Step-by-step explanation:

The surface area of a cube is found by using 6a².

6 = the number of sides in a cube

a = the given dimension (in this case, 8 inches long)

SA = (6)8²

SA = 6(64)

SA = 384

Hope this helps, sorry if it’s not what you’re looking for :)

The confidence level in this report of survey of student atheletes concerning their gambling-related behaviors is equals to 87.88%.

The confidence interval when calculated with the two tails methods then it can be used to test the two tail hypothesis for the same parameter provided that the confidence level. We have, National Collegiate Athletic Association (NCAA) take a survey of randomly selected student athletes concerning their gambling-related behaviors.

repoted participation of students, x = 3547

Sample size,n = 5594

Margin of error, E = 1% = 0.01

The sample proportion is a number of successes divided by the sample size, p-cap = 3547/5594

= 0.6341

The margin of error is for a confidence interval for a proportion, which is determined by using the following formula is

\(CL = Zα/₂ \sqrt{ \frac{ \hat{p} \: (1- \hat{p})}{n} }\)

= Zα/₂√(1 - 0.6341)0.6341/5594

= 0.0064 Zα/₂

This margin of error also has to be equal to 1% or

0.0064 Zα/₂ = 0.01

=> Zα/₂ = 0.01/0.0064 ~ 1.55

The confidence level is the probability of obtaining this value or less extreme, determine the probability using z- table,

P(-1.55< Z < 1.55) = P(Z < 1.55) - P(Z < -1.55)

= 0.9394 - 0.0606 = 0.8788 = 87.8

Thus the confidence level is 87.88%.

To learn more about Confidence level, refer:

https://brainly.com/question/28970780

#SPJ4

Answer:

58 degrees

Step-by-step explanation:

90-32

=58

~rere

Answer:

angle b measures 58°

Explanation:

As we know that, the sum of complementary angles is always equal to 90°.

Therefore,

angle a + angle b = 90°

32° + angle b = 90°

angle b = 90° - 32°

angle b = 58°

HOPE THIS HELPS AND HAVE A NICE DAY <3

the final result of the double integral is `(4/3)*a. we have to Integrate the inner integral with respect to z.

what is inner integral ?

An inner integral is a mathematical term that refers to the integral function that is evaluated first in a double integral.

In the given question,

To solve this double integral, we will use the following steps:

Integrate the inner integral with respect to z.

Evaluate the result of the inner integral at  upper and lower limits of z.

Substitute the result of the inner integral into the outer integral and integrate with respect to y.

Evaluate the result of the outer integral at the upper and lower limits of y.

Simplify the expression.

Now, let's apply these steps to solve the given double integral:

Integrate the inner integral with respect to z:

∫(x²*z + y²*z + z³) dz = x²/2*z² + y²/2*z² + z^4/4 + C

where C is the constant of integration.

Evaluate the result of the inner integral at the upper and lower limits of z:

(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)

Substitute the result of the inner integral into the outer integral and integrate with respect to y:

markdown

∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

Evaluate the result of the outer integral at the upper and lower limits of y:

= ∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

from y = -sqrt(a²-x²) to y = sqrt(a²-x²)

= (2/3)*x²*(a²-x²)¹⁵ + (2/3)*(a²-x²)²⁵

- (2/3)*x²*(-a²+x²)¹⁵ + (2/3)*(-a²+x²)²⁵

Simplify the expression:

= (4/3)*a³ - (4/3)*a*x²

Therefore, the final result of the double integral is `(4/3)*a

To know more about inner integral , visit:

https://brainly.com/question/30490226

#SPJ1

Answer: (Answer in explanation)

Step-by-step explanation:

(12)B > 180

Her goal is to make more than 180 so if she wants to sell each book for $12 then so if she sells 14 books or above she would get more than $180.

So B could equal anything 16 and above but in my case I chose 24

(12)24 = 288 > 180

So write a equation like mine that equals a number that's greater than 180. Keep in mind each book sells for $12 each. Then solve for B which is how many books she has to sell to get the number greater than 180.

Answer: Jonny makes $15 per hour working at Target. He gets a bonus at the end of the month for $85. This month, he made a total of $685. Write an equation to show how many hours he worked

Step-by-step explanation:

1 is 51

2 is 34

3 is 95

5 is 47

6 is 74

7 is 59

Ok that should be right if I didn't mix anything up!

Answer:

-5≤x <1

Step-by-step explanation:

sqrt( x+5) / sqrt(1-x)

The numerator must be greater than zero since it is a square root

sqrt(x+5) ≥0

Square each side

x+5≥0

x≥-5

The denominator must be greater than zero (the denominator cannot be zero)

sqrt(1-x)> 0

Square each side

1-x > 0

1>x

Putting these together

-5≤x <1

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

Read more on the Sine function:

https://brainly.com/question/21902442

https://brainly.com/question/29529184

https://brainly.com/question/23214084

Answer: 12 hours

Step-by-step explanation:

Let's set the speed as "s".

Remember that distance = speed * time

So, plugging the numbers given...

7 = s * 8.4

Divide both sides by 8.4

s = 5/6

Now, plug this into the distance = speed * time, with the distance being 10. Set the time as "t"

10 = 5/6 * t

Divide both sides by 5/6

12 = t

So, it would take 12 hours for the snail to crawl 10 miles.

Answer:

9000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

Read more about tangent lines at

https://brainly.com/question/21595470

#SPJ1

The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

Answer:

c 5.34

Step-by-step explanation:

Answer:

\( y^2 -4y +6=0\)

\( y =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}\)

Where \( a = 1, b= -4 ,c =6\)

And replacing we got:

\( y = \frac{-(-4) \pm \sqrt{4^2 -4(1)(6)}}{2*1}\)

And solving we got:

\( y = \frac{4 \pm \sqrt{-8}}{2} =2 \pm 2\sqrt{2} i\)

Where \( i =\sqrt{-1}\)

And the possible solutions are:

\( y_1=2 + 2\sqrt{2} i , y_2 = 2 - 2\sqrt{2} i \)

Step-by-step explanation:

For this case we use the equation given by the image and we have:

\( -y^2 +4y -6=0\)

We can rewrite the last expression like this if we multiply both sides of the equation by -1.

\( y^2 -4y +6=0\)

Now we can use the quadratic formula given by:

\( y =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}\)

Where \( a = 1, b= -4 ,c =6\)

And replacing we got:

\( y = \frac{-(-4) \pm \sqrt{4^2 -4(1)(6)}}{2*1}\)

And solving we got:

\( y = \frac{4 \pm \sqrt{-8}}{2} =2 \pm 2\sqrt{2} i\)

Where \( i =\sqrt{-1}\)

And the possible solutions are:

\( y_1=2 + 2\sqrt{2} i , y_2 = 2 - 2\sqrt{2} i \)

Answer:

6

Step-by-step explanation:

x-4=2

+4    +4

x=6

Hope this helps!

Answer:

Step-by-step explanation:

4/mx

\(2 \times |12-14|=2 \times |-2| =2\times 2=\boxed{4}\)

Answer:

X | Y

---------

0 | 4

2 | 2

4 | 0

6 | -2

10| -6

Step-by-step explanation:

hope it helps :D

Answer:

X = 160

Explanation:

Because triangles always equal up to 180 degrees. The actual value is 158, but we need to round to the nearest tenth.

Hope that answered your question. Please mark as Brainliest. Thank you! Have a great day!

Answer:

x= 160

Step-by-step explanation: