Which statement best describes the function below

anwser is -3

hope this helps :)

Answer:

average rate of change =   (-1 - 4) / 1 - (-4) = -5 / 5 = -1

Step-by-step explanation:

hope i helped you let me know if its right <3 :)

Answer:

Angle covered by the hour  hand = 60°

Step-by-step explanation:

Numbers mentioned on an analogue clock = 12

Number of sectors between two numbers = 1

Angle between two numbers or 1 sector = \(\frac{360^0}{\text{Total numbers on the clock}}\)

                                                                    = \(\frac{360^0}{12}\)

                                                                    = \(30^0\)

If the hour hand moves clockwise from 3 to 5, sectors covered = 2

Therefore, angle between two sectors = 2 × 30°

                                                                = 60°

Angle covered by the hour  hand = 60°

Answer:

28

Step-by-step explanation:

The answer should be 28.

(a)Sketch the right Riemann sums with n=5:Right Riemann Sum is a method used to approximate the area under a curve. We will be using six subintervals of equal length of the interval [1, 6] and 5 points within those subintervals to

find an approximate area under the curve f(x) = 2x² on [1, 6].Using n = 5, the subinterval length is (6 - 1) / 5 = 1. Each of the subintervals is therefore [1, 2], [2, 3], [3, 4], [4, 5], and [5, 6]. Because we are calculating the right Riemann sum, we will use the right endpoint of each subinterval.Using right Riemann Sum formula, we have:Riemann sum = f(2)Δx + f(3)Δx + f(4)Δx + f(5)Δx + f(6)Δx= 2(2²)(1) + 2(3²)(1) + 2(4²)(1) + 2(5²)(1) + 2(6²)(1)= 2(4) + 2(9) + 2(16) + 2(25) + 2(36)= 8 + 18 + 32 + 50 + 72= 180Determine whether this Riemann sum underestimates or overestimate the area under the curve.

The values of the right Riemann sum obtained for the interval [1,6] is 180.The midpoint of each rectangle lies to the right of the curve and thus, the area is overestimated.(b)Sketch the left Riemann sums with n=5: Using n = 5, the subinterval length is

(6 - 1) /5 = 1. Each of the subintervals is therefore [1, 2], [2, 3], [3, 4], [4, 5], and [5, 6]. Because we are calculating the left Riemann sum, we will use the left endpoint of each subinterval.Using left Riemann Sum formula, we have:Riemann sum = f(1)Δx + f(2)Δx + f(3)Δx + f(4)Δx + f(5)Δx= 2(1²)(1) + 2(2²)(1) + 2(3²)(1) + 2(4²)(1) + 2(5²)(1)= 2(1) + 2(4) + 2(9) + 2(16) + 2(25)= 2 + 8 + 18 + 32 + 50= 110Determine whether this Riemann sum underestimates or overestimate the

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The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

_________________________________

Solution,

30% of 400

= 30/100*400

=120

120 yellow water bottles were in the shipment.

Hope it helps

Good luck on your assignment

__________________________________

The surface area of the given figure is about 743.18 square feet.

The bottom most plane is a circle with radius 6 ft.

So the area of bottom most surface = 2π(6)² = 72π = 226.19 square ft. (Rounding to nearest hundredth)

The area of lateral surface of the bottom circular shape = 2π*6*4 = 150.80 square ft. (Rounding to nearest hundredth)

The surface area of top most pentagonal shape = (1/4)*√(5(5 + 2√5))*(4)² = 27.53 square ft. (Rounding to nearest hundredth)

The surface area of the contact surface of pentagonal and circular cylinder is = 226.19 - 27.53 = 198.66 square ft.

The surface area of lateral surface of pentagonal cylinder = 5*7*4 = 140 square ft.

So total surface area is about = 226.19 + 150.80 + 27.53 + 198.66 + 140 = 743.18 square ft.

Hence, surface area is about 743.18 square ft. (Rounding off to nearest hundredth).

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The y-intercept of the line represented by the equation is; 60.

It follows from the task content that the y-intercept of the line represented by the equation is to be determined.

On this note, we must recall that the y-intercept of an equation is the value of y when x = 0.

Therefore, we have;

-60 (0) + 2y - 120 = 0

2y = 120

y = 60.

Hence, the y-intercept of the line represented by the equation is; 60.

Consequently, it can be inferred that the Ernesto is wrong in his evaluation of the y-intercept as 30.

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Yes. it is important to note that every person's body is different, and it is essential to consult with a healthcare professional before starting any new exercise routine to ensure it is safe and appropriate for them.

Based on the given formula, Alice is increasing her distance by 1 mile per week, which results in a total of 52 miles at the end of one year. This increase in distance is reasonable and achievable for most individuals, especially if they are already physically active and gradually increasing their mileage. However, it is important to note that every person's body is different, and it is essential to consult with a healthcare professional before starting any new exercise routine to ensure it is safe and appropriate for them.

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Yes. it is important to note that every person's body is different, and it is essential to consult with a healthcare professional before starting any new exercise routine to ensure it is safe and appropriate for them.

Based on the given formula, Alice is increasing her distance by 1 mile per week, which results in a total of 52 miles at the end of one year. This increase in distance is reasonable and achievable for most individuals, especially if they are already physically active and gradually increasing their mileage. However, it is important to note that every person's body is different, and it is essential to consult with a healthcare professional before starting any new exercise routine to ensure it is safe and appropriate for them.

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Answer:

Step-by-step explanation:

Use PEMDAS to determine order of operations.

P = Parentheses

E = Exponents

M/D = Multiplication/Division

A/S = Addition/Subtraction

The operation in the parentheses must be performed first, which is the addition of 6.1 + 12.

The next operation to perform is multiplication, which is 415 times (6.1 + 12).

The last operation to perform is the subtraction of 415 times (6.1 + 12) from 8.3.

6.1 + 12 = 18.1

8.3 - 415(18.1)

8.3 - 7511.5 = -7503.2

The  radius of convergence for the Maclaurin series of f(x) is R = 1.

To obtain the Maclaurin series for the given function f(x) = 2ex + e6x, we can use the Maclaurin series expansions of the exponential function. The Maclaurin series for ex is given by e^x = Σ(x^n/n!) from n=0 to infinity, with a radius of convergence of R = ∞.

Using this, we can rewrite the given function as f(x) = 2e^x + e^6x. Substituting the Maclaurin series expansion of ex into the first term and the Maclaurin series expansion of e^6x into the second term, we get:

f(x) = 2(Σ(x^n/n!)) + (Σ((6x)^n/n!))
= 2Σ(x^n/n!) + Σ((6^n)(x^n)/n!)

Now we can combine the two series by collecting like terms and coefficients. The resulting Maclaurin series for f(x) is:

f(x) = Σ((2/n! + (6^n)/n!)(x^n))

The radius of convergence of this series will be determined by the smaller of the radii of convergence of the individual series used, which is R = 1 for the series of ex and R = 1 for the series of e^6x. Therefore, the radius of convergence for the Maclaurin series of f(x) is R = 1.

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Answer:

(-5, -2), and (0, -2)

Answer:

x=3

Step-by-step explanation:

f(x) = -3x – 1

Let f(x) = -10

-10 = -3x-1

Add 1 to each side

-10+1= -3x-1+1

-9 = -3x

Divide each side by -3

-9/-3 = -3x/-3

3 = x

Answer:

It depends on the cost of grapes.

Step-by-step explanation:

Half of 12 is 6, so if each pack of grapes cost 6 or less, she can buy a pack of green and red grapes.

The equation that Deondra can use to graph the line showing different amounts of green and red grapes she can buy for $12 is :

ax   +   by    =    12

Let the number of green grapes be a

Let the cost of one green grape be x

Let the number of red grapes be b

Let the cost of one red grape be y

The total cost of green and red grapes = $12

The equation representing the illustration will be of the form:

(Number of green grapes)(Cost of 1 green grape) +

(Number of red grapes)(cost of 1 red grape)  =  Total cost

The equation that Deondra can use to graph the line showing different amounts of green and red grapes she can buy for $12 is therefore:

ax   +   by    =    12

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The height of the toy dinosaur will be 32 inches.

In mathematics scaling is defined as the enlarging or contracting of the size of an object by reducing or increasing the units of the measurements of the object.

Given that:-

An adult mamenchisaurus dinosaur was about 24 feet tall. if a toy model of the dinosaur is made to the scale of 1 inch to 9 inches.

The new height of the dinosaur will be calculated as:-

We know that the size of the dinosaur is scaled as 9 inches to 1 inch the actual height of the dinosaur is 24 feet so the scaled height will be:-

Actual height = 24 ft = 24 x 12 = 288 inches

9 inches  → 1 inch

288 inches  → 288 / 9 = 32 inches.

Therefore the height of the toy dinosaur will be 32 inches.

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Answer: . Hence the weight of chalk stick is 25 g

Step-by-step explanation: Quantity of Carbon in chalk stick = 3 g Let the weight of chalk be x g. Hence the weight of chalk stick is 25 g

The variance of (X + Y)/2 is 5/9. The variance of a random variable is defined as E[(X - E[X])^2], where E[X] is the expected value of the random variable.

We are given the joint probability density function of X and Y as f(x,y) = (x+y)/8 for 0 < x < 2 and 0 < y < 2.

We need to find the variance of (X + Y)/2.

Let Z = (X + Y)/2. Then, the expected value of Z is:

E[Z] = E[(X + Y)/2] = E[X]/2 + E[Y]/2

We can find E[X] and E[Y] as follows:

E[X] = ∫∫x f(x,y) dxdy = ∫∫x(x+y)/8 dxdy

= ∫0²∫0²x(x+y)/8 dydx = 2/3

Similarly, E[Y] = 2/3.

Therefore, E[Z] = 2/3.

Now, we need to find E[Z^2]:

E[Z^2] = E[(X + Y)^2/4] = E[X^2]/4 + E[Y^2]/4 + E[XY]/2

We can find E[X^2], E[Y^2], and E[XY] as follows:

E[X^2] = ∫∫x^2 f(x,y) dxdy = ∫0²∫0²x^2(x+y)/8 dydx = 2

E[Y^2] = ∫∫y^2 f(x,y) dxdy = ∫0²∫0²y^2(x+y)/8 dydx = 2

E[XY] = ∫∫xy f(x,y) dxdy = ∫0²∫0²xy(x+y)/8 dydx = 1/2

Therefore, E[Z^2] = (2/4) + (2/4) + (1/4) = 1.

Finally, we can find the variance of Z as:

Var(Z) = E[Z^2] - E[Z]^2 = 1 - (2/3)^2 = 5/9.

Therefore, the variance of (X + Y)/2 is 5/9.

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A numeric variable is used with the VAR statement.

Given statement,

What type of variable is analyzed using a PROC TTEST? That is, what type of variable do we use with the VAR statement,

Here, we use;

→ Numeric Variable

Hence, a Numeric Variable type of variable is analyzed using a PROC TTEST.

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Answer:

\(x < 5\)

Step-by-step explanation:

\(3x + 7 > 4x + 2 \\ 7 - 2 > 4x - 3x \\ 5 > x\)

\(x < 5\)

Answer:

(0, 5)

(1, 6)

(4, 7)

(9, 8)

Step-by-step explanation:

y = √x + 5

y = √0 + 5

= 5

y = √1 + 5

= 6

y = √4 + 5

= 2 + 5

= 7

y = √9 + 5

= 3 + 5

= 8

Answer:

(1)55.5 feet

(2)7.5 feet

Step-by-step explanation:

Question 1

The diagram is attached below.

Using Trigonometric ratio

\(\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5$ feet (to the nearest tenth)\)

The height of the house is 55.5 feet to the nearest tenth.

Question 2

In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.

Using Trigonometric ratio

\(\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 $ feet (to the nearest tenth)\)

The distance the bird must fly to be directly above the fish is 7.5 feet.

We can find the factors of the quadratic function using some methods. We can try the following:

We need to find two numbers that if we multiply them, we obtain -8, and if we sum them, we obtain -2. These two numbers are 2 and -4 since we have:

2 * -4 = -8

And

2 - 4 = -2

Then, since we need these two numbers in factored form, we have that the quadratic function is the same as (x + 2)(x - 4).

Therefore, the factored form for the quadratic function is (x + 2)(x - 4) ( option D).

We can also find these values using the quadratic formula, and after finding the roots for the equation, we only need to change the signs of the obtained roots to have the factors of the quadratic expression.

Answer: 9.57

Step-by-step explanation:

I added 4.35 by 4.35 wich would be 10 cans and then I divided 4.35 by 5

Answer:

Step-by-step explanation:

If I name the centre (intersection of diagonals) as O, Angle AOD will be equal to 68°

[Opposite angles are equal]

The diagonals bisect the 4 corner angles of a rectangle in equal halves. So, a = 45°

Also, Angle ADO = 90° - b

[Each of the four angles in a rectangle = 90°]

And In \(\triangle\) AOD,

=> Angle AOD + Angle ADO + Angle OAD = 180°

=> 68° + 90° - b + 45° = 180°

=> 203° - b = 180°

=> b = 23°

Answer: The answer is 3(x+1)=6

Step-by-step explanation I just took the test

Answer:

3(x+1)=6

Step-by-step explanation:

K12 test verified

The probability of not getting purple marble will be 64%. Then the correct option is A.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles.

The total number of marbles is given as,

Total marbles = 2 + 4 + 10 + 9

Total marbles = 25

Then the probability of not getting purple marble will be given as,

P = 1 - 9 / 25

P = 1 - 0.36

P = 0.64

P = 64%

Hence, The probability of not getting purple marble will be 64%. Then the correct option is A.

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Answer:

$244.25

Step-by-step explanation:

First, the question is asking what the change in her savings account balance is each month. So, you know that you are looking for the amount that is lost each month. When it says that at the end of the year, she has payed $2,931 , what is implied is that she has spent that much over 12 months. So all that is needed to do is divide her balance change over the year by 12 to find the monthly balance change.