Find the first derivative.

Answer: y’ = 2/3 x^1/2 - 2/ sqrt of x - 5/2x^2/3

I’m given an answer but don’t know how to get it.

The true statement is Statement A which is dogs of breed B typically weigh more than dogs of breed A using histogram in probability concept.

The likelihood of each possible occurrence is displayed on the y-axis of a probability histogram. A histogram is a statistical data display that makes use of rectangles to illustrate the frequency of data items in successive numerical intervals of equal size. The dependent variable is plotted along the vertical axis in the most typical type of histogram, while the independent variable is plotted along the horizontal axis. The distribution of data is depicted graphically in a histogram. A collection of neighboring rectangles, each with a bar that represents a certain type of data, is used to illustrate a histogram. Fill L1 with the values of the random variable (remember to use the class midpoints for continuous random variables). The associated percentages should be entered into L2 with a decimal format.

To know more about histograms in probability, visit:

https://brainly.com/question/16819077

#SPJ9

The whole numbers are defined as numbers that include naturals and zero. Not a fraction, decimal or negative numbers.

So in this case, the whole numbers are: 5 ; 0; 10.

The equation of the perpendicular line is y = x + 3

Perpendicular line:

The perpendicular line means a straight line that makes the right angle (90 degrees) with the other line.

Given,

Here we have the equation y = -x + 3.

Now, we need to find the equation of the perpendicular line.

In order to find the equation of a perpendicular line, first we need to find the negative reciprocal of the slope given.

Through the given equation we have identified the slope of the line is -1. so the slope of the perpendicular line will be 1.

While looking at the graph we have identified the y intercept of the equation is 3.

So now we know the values of y-intercept and slope.

We just put them together, and apply it one the standard form of the equation of line, then we get,

y = 1x + 3

y = x + 3.

Therefore, the equation of perpendicular line is y = x +3.

To know more about Perpendicular line here.

https://brainly.com/question/18271653

#SPJ1

The length of the sides of the triangle is 11 inches.

Triangle:

Triangle is defined as the three-sided polygon that consists of three edges and three vertices

Given,

If the perimeter of the triangle is 33 inches, then we have to find the sides of the triangle.

Let x be the sides of the triangle, we know that the triangle has 3 sides.

And lest us consider this one as equilateral triangle.

So, the formula for perimeter is,

Perimeter = 3 x sides

Here we know the value of perimeter then the value of the sides are,

33 = 3 x sides

sides = 11

So, the value of the sides is 11.

To know more about Triangle here.

https://brainly.com/question/2773823

#SPJ1

The graph is attached below.

To learn more about functions, visit :

brainly.com/question/12431044

#SPJ1

nswer : D) 1I, II and III

The equation in slope-intercept form that represents the function is: g(x) = -2x + 1.

To write the slope-intercept form of an equation that represents the linear function g, find the slope (m) of the line and determine the y-intercept (b) of the line, then substitute the values into g(x) = mx + b.

Slope of the line that represents function g = change in y/change in x = -6 units/3 units

Slope of the line (m) = -6/3

Slope of the line (m) = -2.

The line intercepts the y-axis at y = 1, therefore the y-intercept (b) of the linear function is b = 1.

To write the equation representing the function, substitute m = -2 and b = 1 into g(x) = mx + b:

g(x) = -2x + 1

Learn more about the linear function on:

https://brainly.com/question/4025726

#SPJ1

Answer:

C

Step-by-step explanation:

20+80 = 100

a triangle equals 180* so

1080-100=80 or just use a calculator OR with your brain

On the Left side is just an example.

On the paper is my answer to your question with explanation.

Hope this will help:)

The correct approaches that can be used to solve the increase in area are

The area of the circle has an estimated increment of 527.52 square mm

The area of a shape is the amount of space on the shape

For all regular quadrilaterals, you multiply the side lengths to determine the area

From the question, the given parameters are:

Previous radius = 42

New radius = 44

Calculate the change in the radius

dr = New radius - Previous radius

Substitute the known values in the above equation

So, we have

dr = 44 - 42

Evaluate

dr = 2

The above method leads to a differentiation problem where dr = 2

So, the correct approaches to the problem include

The area of a circle is

A = πr²

Differentiate

d(A) = 2πr * dr

Where

r = 42

dr = 2

So, we have

d(A) = 2 * 3.14 * 42 * 2

Evaluate

d(A) = 527.52

Hence, the estimated increase in the area is 527.52 square mm

Read more about areas at

https://brainly.com/question/22972014

#SPJ1

The number of ways that the line up can be possible when eleven bands have volunteered to perform but there is only enough time for five of the bands to play is 462 ways.

Eleven bands have volunteered to participate in the charity concert, but there is only enough time for five of them to do so. This involves combinations and permutations, it should be highlighted.

Therefore, the number of ways that the line up can be possible will be:

n! / (n − r)!

where n is the number of things to choose from and we choose r of them

= 11! / (11 - 5)!5!

= 11! / 6!5!

= 462

There are 462 ways.

Learn more about permutations on:

brainly.com/question/15907282

#SPJ1

The solution for the quadratic equation is -5/2, 2/3

Given,

The equation: 18a² - 30 = -33a

We have to solve this equation

We can convert this equation into a quadratic equation:

18a² + 33a - 30 = 0

Now lets solve this quadratic equation with quadratic formula:

Quadratic formula = [tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

Here,

a = 18, b = 33 and c = -30

Now we can solve:

[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

= [tex]\frac{-33(+-)\sqrt{33^{2} -4(18)(-30)} }{2(18)}[/tex]

=  [tex]\frac{-33(+-)\sqrt{1089-(-2160)} }{36}[/tex]

= [tex]\frac{-33(+-)\sqrt{1089+2160} }{36}[/tex]

= (- 33 ± √3249) / 36

= (- 33 ± 57) / 36

Solve for:

(- 33 + 57) / 36 = 24/36 = 2/3

Solve for:

(- 33 - 57) / 36 = - 90/36 = - 30/12 = -10/4 = -5/2

That is, the solution for the quadratic equation is -5/2, 2/3

Learn more about quadratic equations here:

https://brainly.com/question/11540485

#SPJ1

The value of m such that x +4 is a factor of 5x³ + 18x² + mx + 16 is; -4.

It follows from the task content that the value of m for which x +4 is a factor of 5x³ + 18x² + mx + 16 is to be determined.

Hence, if x + 4 is a factor, it follows that x = -4 is a zero of the expression.

Therefore; 5(-4)³ + 18(-4)² + m(-4) + 16 = 0.

-320 + 288 - 4m + 16 = 0.

-16 - 4m = 0

4m = -16

m = -16/4

m = -4.

Ultimately, the value of m for which x+4 is a factor of 5x³ + 18x² + mx + 16 is; -4.

Read more on factor of polynomials;

https://brainly.com/question/14314880

#SPJ1

Simplification of the given expression 4 square root of 72 is equal to 24√2 or 33.94.

As given in the question,

Given expression,

4 square root of 72

Prime factors of 72 are as follow:

72 = 2 × 2 × 2 × 3 × 3

Rewrite them into exponent form we get

72 = 2³ × 3²

Simplification of the given expression 4 square root of 72 is

4√72

= 4 × √ 2³ ×3²

= 4 × √ 2² × 2 × 3²

Calculate the square root

= 4 ×2 ×3 √2

= 24√2

= 24 ×1.414

= 33.94

Therefore, simplification of the given expression 4 square root of 72 is equal to 24√2 or 33.94.

Learn more about simplification here

brainly.com/question/2804192

#SPJ1

Given : Regular price of MP3 player was $200. It was marked down by $60.

Required: Percent discount

Explanation:

Marked Price = $200

Discount given = $60

So, percent discount =

Final answer : Percentage discount is 30%

The marginal profit is -41 dollars.

In accounting, a profit is an income that is given to the owner throughout a successful market producing process (business).

The advertising is given by P(x) = 930 + 15x -4x².

The marginal profit at x = 7 is given by

P(x) = 930 + 15x -4x²

P'(x) = 15 - 8x

Now at x = 7 the marginal profit is

P'(7) = 15 - ( 8×7 )

or, P'(7) = -41

Hence there will be marginal profit of -41 dollars.

To learn more about profit visit:

https://brainly.com/question/13716014

#SPJ1

Given:

Given the box plots of two different brands of shoes.

Required: Most appropriate comparison of the spreads

Explanation:

From the box plot of brand A,

Minimum value = 65

First quartile, Q1 = 70

Median = 75

Third quartile, Q3 = 80

Maximum value = 85

Also, from the box plot of brand B,

Minimum value = 15

First quartile, Q1 = 50

Median = 60

Third quartile, Q3 = 70

Maximum value = 85

The interquartile range is the difference between the upper quartile and the lower quartile

The interquartile range of brand A is

The interquartile range of brand B is

Option A is correct.

The median for brand A is $75, which is less than the median of brand B, $60.

Option C is correct.

Final Answer: The most appropriate

the second one

Step-by-step explanation:

if 75 is the minum speed then you need to go more than 75 and less than 80 which is what the second one is showing

Answer:

They subtracted when they should have added

Step-by-step explanation:

You must do the opposite so if it says -17 you must add 17 to the other side the answer should be 32

Answer:

1 in 10

Step-by-step explanation:

The equation of line is given by y-12=4(x-5).

What is equation of line with slope intercept form?

The equation of a line in point-slope form can be written as

y-y_1=m(x-x_1) where (x_1,y_1) is the points line passes through.

(y-12)=4(x-5)

Where m=4 and x_1=5,y_1=12

Hence, the equation of line is

y=4x-5+12

y=4x+7

The equation of line with the form of slope intercept form is y-12=4(x-5).

To know more about equation of line, visit:

https://brainly.com/question/11552995

#SPJ9

Answer:

3 f

Step-by-step explanation:

(-1)+(4)

-+(4)

-+4

-f+4

-f+4

3

3

The required expressions about the geometry figure can be proven as follows;

1. The measure of ∠2 and ∠3 are congruent by the substitution property of equality

2. ∠2 and ∠3 are congruent, (∠2≅∠3) by the property of equality

The property of equality are properties that enable the solution of algebraic equations to be found and they include, addition, subtraction, multiplication, division, reflexive, substitution, transitive and symmetric properties.

1. The required paragraph to prove that ∠2 ≅ ∠3 is as follows:

Given that ∠1 and ∠2  form a linear pair, then their sum is 180°. Given that the sum of the measure of ∠1 and ∠3 is also 180°, then the sum of ∠1 and ∠2 is equal to the sum of ∠1 and ∠3. Therefore, by the addition property of equality, ∠2 ≅ ∠3.

2. The two column proof is as follows:

Statement               [tex]{}[/tex]                       Reasons

1. ∠ABC = ∠1 + ∠2 is ⊥                  1. Given

2. ∠ABC = 90°                               2. Definition of a perpendicular line

3. ∠1 + ∠2 = 90°                             3. Substitution property of equality

4. ∠1 and ∠3 are complementary  4. Given

5. ∠1 +∠3 = 90°                                5. Definition of complementary

6. ∠1 + ∠2 = ∠1 +∠3                         6. Substitution property of equality

7. ∠2 ≅ ∠3                                       7. Addition property of equality

Learn more about angle addition property here:

https://brainly.com/question/1601404

#SPJ1

The equivalent expression of 2⁻³ / 2⁻⁵ will be 2².

Option A is true.

What is a mathematical expression?

Expression in math is defined as the collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mathematical expression is,

⇒ 2⁻³ / 2⁻⁵

Now, The rule of exponent is;

[tex]\frac{a^{x} }{a^{y} } \\a^{x} * a^{-y} \\a^{x+ (-y)} \\a^{x-y}[/tex]

Hence, Solve the expression by rule of exponent as;

The mathematical expression is,

⇒ 2⁻³ / 2⁻⁵

⇒ 2⁻³ / 2⁻⁵

⇒ 2⁻³ × 2⁵

⇒ 2⁻³⁺⁵

⇒ 2²

So, 2⁻³ / 2⁻⁵ = 2²

Thus, The equivalent mathematical expression of 2⁻³ / 2⁻⁵ will be 2².

Option A is true.

Learn more about the rule of exponent visit:

https://brainly.com/question/23284668

#SPJ1

When we reflect a point along the x-axis, the x coordinate stays the same BUT the y coordinate is negated.

A point (x,y) becomes (x, -y)

et us apply this rule to the points J, A, and R. SThis is shown below:

The graph of the triangle will look like >>>

Consider the first equation,

This equation passes through (0,-2) and (2,1).

second

This equation passes through (0,2) and (4,0).

Now we can plot the points and join them to get the corresponding lines on the graph as,

It is observed that the two lines intersect at point (2,1).

So the solution to the given equations must be x=2 and y=1.

189cm²

Step-by-step explanation:

area is multiplication so it will be L×B

also because its a rectangle

we have that the midpoint is (-2,-7)

and the endpoint is (12,-9)

We remember the midpoint formula:

Where (x1,y1) are the coordinates of one endpoint and

(x2,y2) are the coordinates for the other endpoint.

Here, we are trying to find (x2,y2) given that

(x1, y1) ---> (12, -9)

And since we also know the midpoint M(-2, -7), making a comparison with this and the midpoint formula, we get two equations, the first one is:

substituting x1 and solving for x2:

And now, with the second equation which is:

we substitute y1 and solve for y2:

solving for y2:

This the other endpoint (x2,y2) is at (-8,-5)