Find the rate of change and interpret the rate of change.

Answer:

10

Step-by-step explanation:

Answer: Simple. The answer is 10.

Given a sector with radius, r,

In this case,

then

Take

Then,

Therefore the area of the sector is 12.01 square units

It is option D (f-¹(x) = x-3/5)

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 10 /5  = 60/ 5

Thus, the answer to 6 divided by 5/10 in fraction form is:

60 /5

To make the answer to 6 divided by 5/10 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

60 / 5 = 12

The answer is rounded to the nearest two decimal points if necessary.

60/5 can be simplified to 12/1.

12/1 is an improper fraction and should be written as 12.

Answer:

a. x is 55

b. 20 white marbles

Step-by-step explanation:

Question: A box contains 60 identical marbles where 'x' of them are red while the rest are white; (given that in the original question, the box only contains red and yellow marbles, the yellow can be replaced by white to explain the question idea)

a. The number of identical marbles in the box, n = 60

The number of red marbles = x

The number of white marbles = The rest of the marbles which are not red

The probability that a marble drawn is white, P(y) = 1/12

Let 'y' represent the number of white marbles

From probability theory, we have;

The number of white marbles, y = n × P(y) = 60 × 1/12 = 5

The number of red marbles, x = n - y = 60 - 5 = 55

x = 55

b. The number of white marbles that must be added to make the probability of choosing a white marble = 5/16 is given as follows;

Let Δy represent the number of white marbles added, therefore;

P(y) = (y + Δy)/(y + Δy + x)

∴ P(y) = (5 + Δy)/(5 + Δy + 55) = 5/16

5 × (60 + Δy) = 16 × (5 + Δy)

300 + 5·Δy = 80 + 16·Δy

16·Δy - 5·Δy = 300 - 80

11·Δy = 220

Δy = 220/11 = 20

The number of white marbles that must be added, Δy = 20 white marbles

Answer:

-6.666

Step-by-step explanation:

Answer:

-2/5

Step-by-step explanation:

Let's plug in all of the numbers: \(\frac{-(-2^2)(4(-3)-5(-2))}{3(4)-4(-2)}\)

We get \(\frac{-(-4)(-12+10)}{12+8}\)

Simplify further to get \(\frac{4(-2)}{20}\)

Or \(\frac{-8}{20}\)

Which can be simplified to -\(\frac{2}{5}\)

Answer:

3.33333 or 3

Step-by-step explanation:

i just did 1/3*10 because w to z is 10.

Answer:

y=-\(\frac{1}{9}\)x+\(\frac{5}{3}\)

Step-by-step explanation:

Answer:

Amem

Step-by-step explanation:

Answer:

Dawson runs 3.168 more miles than jay.

Step-by-step explanation:

Simple 1 step.

1. Subtract Dawson's miles ran ( 9 miles ) by Jay's ( 5.832 ) which would lead to getting the answer of 3.168.

Hope this helped.

Answer: it gets smaller, 13 times smaller

Step-by-step explanation:

Size of the figure/13

Answer:

the beef is settled, its itsuki or miku

Step-by-step explanation:

The answer is (D), the function has at least one zero in the set of complex numbers, is correct.

What is the polynomial function?

A polynomial function is defined as a function in which the highest power of the independent variable is finite. The degree of a polynomial function is equal to the highest power of the independent variable.

In this case, the highest power of x is x^5, so the degree of the function is 5.

Therefore, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.

All polynomial functions have at least one zero in the set of complex numbers by the Fundamental Theorem of Algebra. The other answers (A), (B), and (C) are incorrect.

Hence, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.

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In geometry, transformations are used to move points from one position to another.

The preimage is given as:

\(S =(-3,4)\)

\(T = (3,4)\)

\(U = (-1,0)\)

The image is given as:

\(S' = (-2,2)\)

\(T' =(4,2)\)

\(U' = (0,-2)\)

Using points S and S' as our reference point, we have:

\(S =(-3,4)\) and \(S' = (-2,2)\)

Calculate transformation

\((x,y) \to S -S'\)

\((x,y) \to (-2,2)-(-3,4)\)

Rewrite as:

\((x,y) \to (-2--3,2-4)\)

\((x,y) \to (-2+3,2-4)\)

\((x,y) \to (1,-2)\)

So, the transformation from the preimage to image is:

\((x,y) \to (x + 1, y-2)\)

Calculate the lengths of the sides of the preimage and the image

Using the following distance formula, we have:

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

So, we have:

\(ST = \sqrt{(-3 - 3)^2 + (4 - 4)^2} = 6\)

\(SU = \sqrt{(-3 - -1)^2 + (4 - 0)^2} = \sqrt{20\)

\(TU = \sqrt{(3 - -1)^2 + (4 - 0)^2} = \sqrt{32\)

and

\(S'T' = \sqrt{(-2 - 4)^2 + (2 - 2)^2} = 6\)

\(S'U' = \sqrt{(-2 - 0)^2 + (2 -- 2)^2} = \sqrt{20\)

\(T'U' = \sqrt{(4 -0)^2 + (2 -- 2)^2} = \sqrt{32\)

Since

\(ST = S'T'= 6\)

\(SU = S'U'= \sqrt{20\)

and

\(TU = T'U'= \sqrt{32\)

Then, the transformation preserves length

From the graph of \(\triangle STU\) and \(\triangle S'T'U'\)

Since

\(\angle S = \angle S' = 76^o\)

\(\angle T = \angle T' = 45^o\)

\(\angle U = \angle U' = 59^o\)

Then, the transformation preserves angle measure.

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Answer:

I Think the answer is A

Step-by-step explanation:

Best guess, sorry. but i think you will get this right.

Answer:

41.2 - 3.8 = t

Step-by-step explanation:

41.2 is Stephanie's time

Rhonda's time is 3.8 minutes faster

So to get "t" we need to subtract 3.8 from 41.2

Solution

The graph

The vertex of a parabola is the point at the intersection of the parabola and its line of

symmetry

Any other point is a point on the graph, you can choose any desired point on the graph

Answer:

I believe it would be the third option; 5k = 90

Please let me know if I'm incorrect.

Answer:

5k - 90, is the answer

Answer:

2 < x < 12

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the interval

difference of 2 sides < x < sum of 2 sides , that is

7 - 5 < x < 7 + 5

2 < x < 12

third side could be 3, 4, 5, 6, 7, 8, 9, 10, 11

Answer:

$52.50

Step-by-step explanation:

1. You take 550 and divide by 5.

2. Then you would takw that number (105) and multiply by 2 (210)

3. Then you take 210 and divide by 4 which equals 52.5

4. The answer is 52.5 because she takes 1/4 of the 2/5 for vacation a month.

This value is approximate because pi = 3.14 is approximate

===========================================================

Work Shown:

r = 4 = radius

pi = 3.14 approximately

C = circumference

C = 2*pi*r

C = 2*3.14*4

C = 25.12

The circumference is approximately 25.12 meters.

Side note: The circumference is the same as the perimeter of a circle.

The worth of the factory is $97580.17.

Given data;

Cost of $460,000 for the factory. You project that it will bring in $150,000 in the first year, $210,000 in the second, and $360,000 in the third. The 12% discount rate applies.

To know the factory's worth;

Let,

\(NPV = \frac{C_0}{(1 + r)^0} + \frac{C_1}{(1 + r)^1} + \frac{C_2}{(1 + r)^2} + \frac{C_3}{(1 + r)^3}\)

Here,

C₀ = -460,000, C₁ = 150,000, C₂ = 210,000, C₃ = 360,000

\(NPV = \frac{-460,000}{(1 + 0.12)^0} + \frac{150,000}{(1 + 0.12)^1} + \frac{210,000}{(1 + 0.12)^2} + \frac{360,000}{(1 + 0.12)^3}\)

NPV = $97,580.17

Therefore, the factory's worth is $97580.17.

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The most appropriate outcome for a patient with a nursing diagnosis of Constipation related to slowed gastrointestinal motility secondary to pain medications would be: a. Patient will have one soft, formed bowel movement by end of shift.

The outcome of "Patient will have one soft, formed bowel movement by the end of the shift" is the most appropriate for a patient with the nursing diagnosis of Constipation related to slowed gastrointestinal motility secondary to pain medications.

This outcome is specific and directly addresses the issue of constipation. It sets a clear goal for the patient to achieve a single bowel movement that is soft and formed, indicating improved bowel function. By specifying "by the end of the shift," it provides a time frame for assessing the outcome and allows for evaluation of the patient's progress.

The outcome focuses on the desired result, which is to alleviate constipation and improve gastrointestinal motility. It takes into consideration the impact of pain medications, which can contribute to slowed bowel movements. By aiming for a soft and formed bowel movement, it indicates the goal of promoting regular and healthy bowel function for the patient.

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True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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A bag of six chocolates cost $2.40. A bag of 8 lollies cost $1.60. So, $0.4 more does one chocolate cost than one lolly.

A bag of six chocolates cost $2.40.

A bag of 8 lollies cost $1.60.

To determine how much more does one chocolate cost than one lolly.

6 chocolates = 2.40.

1 chocolates = 2.40/6 = 0.4

8 lollies = 1.60.

1 lolly = 1.60/8 = 0.8

0.8 -  0.4 = 0.4.

Therefore, $0.4 more does one chocolate cost than one lolly.

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To simplify the expression 4√6/√30, we can rationalize the denominator by multiplying the expression by a suitable form of 1 that eliminates the square root in the denominator.

First, let's write the expression as 4√6/√(2⋅3⋅5) and split the denominator into its prime factors.

Now, we can multiply the expression by √(2⋅3⋅5)/√(2⋅3⋅5) to rationalize the denominator. This can be done because the product of a number and its conjugate eliminates the square root in the denominator.

Multiplying the numerator and denominator, we get:

(4√6)(√(2⋅3⋅5)) / (√(2⋅3⋅5)) (√(2⋅3⋅5))

Simplifying further, we have:

(4√6√(2⋅3⋅5)) / √(2⋅3⋅5⋅2⋅3⋅5)

Combining like terms, we obtain:

(4√6√30) / √(2⋅3⋅5⋅2⋅3⋅5)

Since √30 = √(2⋅3⋅5) and the square root in the numerator cannot be simplified further, the expression becomes:

(4√6√30) / (2⋅3⋅5)

Simplifying the denominator, we have:

(4√6√30) / 30

Finally, we can simplify further by dividing the numerator and denominator by their greatest common factor, which is 2:

(2√6√30) / 15

Therefore, the simplified form of 4√6/√30, after rationalizing the denominator, is (2√6√30) / 15.

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\( 4 {a}^{4} {b}^{3} {c}^{6} \) is the answer.

Explanation :-

Hey there

Lets solve this :-

\((2 {a}^{2})^{2}(bc^{2})^{3} \)

\( = > {2}^{2} \times (a^{2} )^{2}b^{3}( {c}^{2})^{3} \)

\( = > 4( {a}^{2})^{2} {b}^{3}(c^{2})^{3} \)

\( 4 {a}^{4} {b}^{3} {c}^{6} \)

Therefore \(4 {a}^{4} {b}^{3} {c}^{6} \)is the answer

The correct answer is (f) 54b - 170 ≤ 2500. Th inequality (f) 54b - 170 ≤ 2500 describes the number of boxes b that he can safely take on each trip.

To determine the inequality that describes the number of boxes the worker can safely take on each trip, we need to consider the weight limits. The worker weighs 170 lb, and each box weighs 54 lb. Let's denote the number of boxes as b.

The total weight on the elevator should not exceed the weight limit of 2500 lb. Since the worker's weight and the weight of the boxes are added together, the inequality can be written as follows: 54b + 170 ≤ 2500.

However, since we want to determine the number of boxes the worker can safely take, we need to isolate the variable b. By rearranging the inequality, we get 54b ≤ 2500 - 170, which simplifies to 54b - 170 ≤ 2500.

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Answer:

1 to 200  or 1:200 or 1/200

Step-by-step explanation:

If there is 1 shark for every 200 fish then the ratio would be sharks (1) over fish (200)