I need to find the line’s slope

Answer:

C= 25n+100

Step-by-step explanation:

Let's see what's in the graph :

let m be the slope of this function :

The first value in the graph is 100 wich is c(0)=100

Answer:

20 More Periods

Step-by-step explanation:

Just Divide 200/10 and you get 20.

The solution to the inequality are the region in the shaded area and the graph is attached

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

y ≥3(0.8)^x

y ≥ x² - 5

Represent properly

y ≥ 3(0.8)^x

y ≥ x² - 5

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)

None of the options represent the shaded area (see attachment)

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TRUE TRUE TRUE TRUE TRUE

Answer:

true

Step-by-step explanation:12+2=14 that is simple distributive property

The graphs of both the parent function ∛x and the image after reflection -∛x  is attached

In mathematics, the reflection of a function on a graph refers to the transformation of the graph by flipping it over a line. This line is often referred to as the "axis of reflection" or the "line of symmetry."

In this case the line of symmetry is the y axis and the transformation rule is adding a negative sign

The graph showing how the parent function (preimage) flips is attached

red is preimage

blue is the reflection image

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The binomial ( 5, 1/2) distribution is symmetric about 2.5.

Probability Definition in Math -

A) P(2 Sixes in 5 rolls ) = \(\frac{5}{2} (\frac{1}{6})^{2} (\frac{5}{6})^{3}\)  = 0.160751

B) P( At least 2 six in 5 rolls ) = 1 - p (at most 1 six)

                                                = 1 - [ p (0sixes ) + p (1 six) ]

                                                =  1 - (5/6)² - { 5/1} (1/6) \(( 5/4)^{4}\)

                                                = 0. 196245

(This is shorter than adding the chance of 2,3,4,5, sixes)

c) The probability that a single dice shows 4 or greater is 3/6 = 1/2

         p ( exactly 3 shows 4 or grater )  = {5 3} \((1/2)^{5}\)  = 0. 3125

d)  p ( exactly 3 shows 4 or grater ) = {5 3} + {5 4} + {5 5} \((1/2)^{5}\)   = 0.5

( The binomial ( 5, 1/2) distribution is symmetric about 2.5 )

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The complete question is -

Suppose 5 dice are rolled. Assume they are fair dice and all rolls are inde- pendent. Calculate the probabilities of the following events: a) (1 point) Exactly two sixes. b) (2 points) At least two sixes. c) (1 point) Exactly three dice show four or greater. d) (2 points) At st three dice show four or greater

Answer:

-2.1 i guess

Step-by-step explanation:3.1 minus 5 =-2.1

The required expression will be x = 3.1 n - 5

It is given that a number is 5 less than 3.1 times a number "n" .

We have to find the expression for the given statement.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

Let's assume the number be x.

So ,

3.1 times of number n = 3.1 × n = 3.1 n

Let's subtract 5 from the above number, i.e.,

3.1 n  - 5

and , the required expression will be ;

x = 3.1 n - 5

Thus , the required expression will be x = 3.1 n - 5

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Answer:

5300 m

Step-by-step explanation:

Hi there!

First, we must change 5.342 km to meters by multiplying it by 1000:

5.342 × 1000 = 5342

Now, we know that 5.342 km is equivalent to 5342 m.

To round to the nearest 100 m, look at the hundreds place value in 5342 m. It is 3. The number before is 4. Because 4 is less than 5, it means we keep 3 as 3 and replace all the digits before with 0:

5300 m

I hope this helps!

The correct option regarding the surface area of the solid is given as follows:

d. 45 square inches.

The surface area of a solid is composed by the sum of the areas of all the pars of the figure.

The composition of the figure in this problem is given as follows:

Thea area of a triangle is given by half the multiplication of the base by the height, hence the area of the four triangles in this problem is given as follows:

At = 4 x 1/2 x 3 x 6

At = 36 square inches.

The area of a square is given by the square of the side length, hence:

As = 3³

As = 9 square inches.

Thus the surface area of the solid in this problem is given as follows:

S = At + As

S = 36 + 9

S = 45 square inches.

Meaning that option d is correct.

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Answer:

Step-by-step explanation:

Given: |x + 5| = 9

Absolute value is the exact distance of an integer or number from zero on a number line. As a result, the absolute value is never negative and is always positive.

You should solve for x in this case:

|x + 5| = 9

      -5   -5

x = 4

|x + 5| = 9

-x - 5 = 9    <- The absolute value makes what is in it positive. Taking it off will make what was in it negative.

-x - 5 = 9

    +5   +5

-x = 14

x = -14

Answer:

−

6

≤

x

<

−

4

Interval Notation:

[

−

6

,

−

4

)

Step-by-step explanation:

According to the given question the nearest cent, of the sales tax on Barry's order is 676 cents.

The act of buying something for use in the manufacture of another good or service, or to sell again, is known as purchasing in business. Any organization's purchasing department plays a crucial role, and its significance shouldn't be understated.

To find the sales tax on Barry's order, we need to first calculate the total cost of his purchase, including the sales tax.

To find the sales tax on Barry's order in cents, we can follow the same process as before, but we need to convert the dollar amount to cents:

The cost of the wallet, sweater, and watch is $8.99 + $14.99 + $72.49 = $96.47, which is 9647 cents.

To find the sales tax, we can multiply the total cost by the tax rate, which is 7% or 0.07:

Sales tax = 9647 x 0.07 = 676.29

Rounding to the nearest cent, the sales tax on Barry's order is 676 cents.

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(3, -2) and (2, 1) are solutions to the inequality y <= 3/2x - 1

The complete question is added as an attachment

The points are given as:

(3, -2) and (2, 1)

Next, we test the points on each inequality in the list of options.

So, we have:

Option 1

y > 1/2x + 2

Substitute (3, -2) and (2, 1) for x and y

-2 > 1/2 * 3 + 2 ⇒ -2 > 3.5 -- false

2 > 1/2 * 1 + 2 ⇒ 2 > 2.5 -- false

Hence, (3, -2) and (2, 1) are not solutions to the inequality y > 1/2x + 2

Option 2

y <= 3/2x - 1

Substitute (3, -2) and (2, 1) for x and y

-2 <= 3/2 * 3 - 1 ⇒ -2 <= 3.5 -- true

1 <= 3/2 * 2 - 1 ⇒ 1 < 2 -- true

Hence, (3, -2) and (2, 1) are solutions to the inequality y <= 3/2x - 1

Option 3

y >= 4x - 2

Substitute (3, -2) and (2, 1) for x and y

-2 >= 4 * 3 - 2 ⇒ -2 >= 10 -- false

2 <= 4 * 2 - 2 ⇒ 2 <= 6 -- false

Hence, (3, -2) and (2, 1) are not solutions to the inequality y >= 4x - 2

Option 4

y < -2x + 1

Substitute (3, -2) and (2, 1) for x and y

-2 < -2 * 3 + 1 ⇒ -2 < -5 -- false

2 < -2 * 2 + 1 ⇒ 2 < -3 -- false

Hence, (3, -2) and (2, 1) are not solutions to the inequality y < -2x + 1

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Answer:

\(\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}\)

Step-by-step explanation:

We want to find all solutions to the equation:

\(\displaystyle \sin 2x - 1 = 0\)

In the interval [0, 2π).

First, add one to both sides:

\(\displaystyle \sin 2x = 1\)

Recall that sin(u) equals one whenever u = π/2. This will occur for every rotation. Hence, we can say that u = π/2 + 2nπ where n is an integer.

And in this case, u = 2x. Thus:

\(\displaystyle 2x = \frac{\pi}{2} + 2n\pi\text{ where } n\in\mathbb{Z}\)

Dividing both sides by two yields:

\(\displaystyle x = \frac{\pi}{4} + n\pi \text{ where } n\in \mathbb{Z}\)

There are two values of x in the interval [0, 2π) given when n = 0 and n = 1:

\(\displaystyle x _ 1= \frac{\pi}{4} \text{ and } x_2 = \frac{\pi}{4} + (1)\pi = \frac{5\pi}{4}\)

Any other solutions will be outside our interval.

Therefore, our solutions are:

\(\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}\)

The method that is invoked when an object is created is known as a constructor method.

Constructor in C++ is a special method that is invoked automatically at the time of object creation. It is used to initialize the data members of new objects generally.

The constructor in C++ has the same name as the class or structure. Constructor is invoked at the time of object creation. It constructs the values i.e. provides data for the object which is why it is known as constructors.

Constructor does not have a return value, hence they do not have a return type.

The prototype of Constructors is as follows:

<class-name> (list-of-parameters);

Constructors can be defined inside or outside the class declaration:-

The syntax for defining the constructor within the class:

<class-name> (list-of-parameters) { // constructor definition }

The syntax for defining the constructor outside the class:

<class-name>: :<class-name> (list-of-parameters){ // constructor definition}

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Answer:

-4d - 6

Step-by-step explanation:

-1/3(12d+18)

-4d - 6

That is the simplest we can simple the function

So, the answer is -4d - 6

The given expression is:

This can be simplified as:

Therefore, the above expression can be further simplified as:

EXPLANATION

Replacing the given functions into the following:

Removing the parentheses and simplifying:

Simplifying like terms:

Hence,

The area of the garden whose length and width as given in the task content is; 30 (x + 2) square units.

It follows from the task content that the expression which represents the area of the garden plot whose dimensions are as given.

Recall that Area, A = length × width.

Therefore, since length = 6 (√(x + 2)) units

The width = (5 √(x + 2) ) units

Hence, the area of the garden plot as required in the task content is; 6 (√(x + 2)) × ( 5 √(x + 2) )

= 30 (x + 2) square units

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Answer:

A

Step-by-step explanation:

I believe it is A because there is not any repeating X's. There is a repeating y which is 1. Therefore it is A.

The ratio of coins to notes in a bag is 3 to 8.

The total number of coins is 24.

Let there be y number of notes in the bag. Then we can write,

On solving we get,

Thus there are 64 notes in the bag.

The numerical length of line segment \(\(\overline{JL}\)\) is approximately -11.67 units.

To determine the numerical length of line segment \(\(\overline{JL}\)\), we need to determine the value of JL provided the equations; KL = 2x - 2, JL = 4X-9, and JK = 5X+2.

Since point K is on line segment \(\(\overline{JL}\)\), we can equate the lengths KL and JK and solve for x:

KL = JK

2x - 2 = 5x + 2

By rearranging the equation, we get:

2 - 2 = 5x - 2x + 2

0 = 3x + 2

3x = -2

\(x = -\frac{2}{3}\)\)

Now that we have the value of x, we can substitute it into the equation for JL to calculate its numerical length:

JL = 4x - 9

\(\(JL = 4\left(-\frac{2}{3}\right) - 9\)\\\\\)

\(\\\(JL = -\frac{8}{3} - 9\)\\\\\)

\(\(JL = -\frac{8}{3} - \frac{27}{3}\)\\\\)

\(\(JL = -\frac{35}{3}\)\)

Therefore, the numerical length of line segment \(\(\overline{JL}\)\) is \(\(-\frac{35}{3}\)\) or approximately -11.67 units.

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Answer:

50; 25; 105

Step-by-step explanation:

Sum of the angles of triange is 180, so we have 2x + x + 2*2x + 5 = 180 (x is number of degrees of second angle), if I understood word 'twice' correctly.

Next, let me solve this:

2x + x + 4x + 5 = 180

7x + 5 = 180

7x = 175

x = 25

So, second angle is 25 degrees, first is 25*2=50 degrees and third is 50*2+5=105 degrees.

Hope that this was helpful.

The amount should be around $130,000 must be invested today at 10 % to be worth $271,000 in 10 years. A = $271,000k = 0.1t = 10 years P = Ae^{-kt}P = $271,000e^{-0.1*10}P ≈ $108,347.39 The closest answer is b. $130,000.

The question is to find out how much must be invested today at 10 %, compounded continuously, to be worth $271,000 in 10 years. Using the formula for continuously compounded interest: A = Pe^{rt}, where A is the amount at the end of the investment period, P is the principal, e is the exponential function, r is the annual interest rate, and t is the number of years.

A = Pekt, where k = 0.10 is the annual interest rate and e is a constant equal to 2.71, is a more straightforward version of the formula.P = Ae-kt, where A = PektWe are informed that the sum will be $271,000 in total. So, A = $271,000,000 = 0.1 trillion = 10 years. P = Ae-kt; P = $271,00e-0.1*10; P $108,347.39;The closest response is b, which is $130,000.

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The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

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The type of secretion in which some cytoplasm is lost with the product is known as "apocrine secretion."

In this process, the apical portion of the cell (where the secretory product is located) buds off and becomes the secretory product, taking with it some cytoplasm and cell membrane.

Apocrine secretion is seen in certain types of glands, such as the mammary glands, where it is responsible for the secretion of milk. It is also observed in some sweat glands, where it helps regulate body temperature by producing sweat.

Compared to other types of secretion, apocrine secretion is considered a less efficient process because some of the cell's resources are lost along with the secretory product. However, this loss is relatively minor and is outweighed by the benefits of producing the product.

In conclusion, apocrine secretion is a specific type of secretion in which some cytoplasm is lost along with the secretory product. This process is important for the proper functioning of certain glands and helps maintain the homeostasis of the body.

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The polar equation equivalent to the Cartesian equation x = -4 is r*cos(θ) = -4.

To rewrite the Cartesian equation x = -4 as a polar equation, follow these steps:

1. Recall the conversion formulas for Cartesian coordinates (x, y) to polar coordinates (r, θ): x = r*cos(θ) and y = r*sin(θ).
2. Replace x in the given Cartesian equation with the corresponding polar coordinate formula: -4 = r*cos(θ).

The polar equation equivalent to the Cartesian equation x = -4 is r*cos(θ) = -4.

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The most appropriate choice for Profit and loss will be given by-

Cost price of the book is $270

What is Profit and loss?

The price at which an article is bought is known as cost price and the price at which the article is sold is known as selling price.

If the selling price of an article is more than the cost price, the difference between the selling price and the cost price gives the profit.

If the selling price of an article is less than the cost price, the difference between the cost price and the selling price gives the loss.

Here,

Selling price of book = $500

Profit = $230

In case of profit, cost price is always less than the selling price

Cost price of the book = Selling price - profit

                                      = $(500 - 230)

                                       = $270

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Answer:

40 miles

Step-by-step explanation:

2.5 miles / .25 hours = 10 miles per hour

(10 miles per hour)(4 hours) = 40 miles