What is the average rate of change for this exponential function for the
interval from X.= 0 to x = 2?

Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)

Step-by-step explanation: See attachment

The correct answer is option B which is ( 5 / 3)

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

The value will be calculated as:-

[tex]5\times \dfrac{1}{3}[/tex]  =  [tex]\dfrac{5}{3}[/tex]

1.67  = 1.67

Therefore the correct answer is option B which is ( 5 / 3)

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Answer:

A. The volume is the product of the area of the base, 5x(x + 3), and

the height, 2x - 1.

Step-by-step explanation:

Volume is defined as the product of the Length, Width, and Height,

V = L*W*H

The Length x Width is the Area of the Base

L*W = Area Base)

Therefore:  

The (L*W) in the equation V = L*W*H can be replaced with [Area of the Base]

[Area of the Base]

[Area of the Base]  = (5x)*(x+3)          [(or 5x^2 + 15x)]

Volume = [Area of the Base]*H

Volume = [(5x)*(x+3)]*(2x-1)

     The volume is the product of the area of the base, 5x(x + 3), and

the height, 2x - 1.

  That looks a lot like the answer in A:  "The volume is the product of the area of the base, 5x(x + 3), and the height, 2x - 1."

Theta has a reference angle of 30° and is in Quadrant I or II.

Sin(theta) = ½

Basic angle: 30

The acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle sandwiched between the terminal side and the x-axis.

Angles: 30,

180-30 = 150

Because sin is positive in quadrants 1 and 2.

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The profit-maximizing price and resulting profits are $36 and $0 respectively.

The profit-maximizing price for the monopoly will be to produce at the quantity where marginal revenue is equal to marginal cost.

Therefore, suppose the average total cost is $36 when q = 24, the profit maximizing price is as follows:

when Q = 24 at average cost = $36,

Then,

profit-maximizing price = p = $36

Hence, the resulting profit is as follows;

resulting profit = 36 - 36 = $0

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Answer:

Step-by-step explanation:

Expanding the right-hand side,

[tex](a-b)(a^{2}+ab+b^{2})=a^{3}+a^{2}b+ab^{2}-a^{2}b-ab^{2}-b^{3}=a^{3}-b^{3}[/tex]

Thus, the identity is true.

The complete statements are; Triangle 1 is the image of triangle 2 reflected over the y-axis. Triangle 2 is the image of triangle 3 reflected over the x-axis. Reflecting triangle 4 over the y-axis results in triangle 3.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in the opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Triangle 1 is across from triangle 2. If we make the triangles bisect, they will touch the y-axis.

Triangle 2 is above triangle 3. If we make the triangles bisect, they will touch the x-axis.

we can translate it (a congruent shape that is on a different axis and is the same distance from that axis) and rotate it to 90 degrees.

The complete statements are;

Triangle 1 is the image of triangle 2 reflected over the y-axis.

Triangle 2 is the image of triangle 3 reflected over the x-axis.

Reflecting triangle 4 over the y-axis results in triangle 3.

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The graph of the function has an axis of symmetry at x = 3 will be D. f(x) = x² - 6x - 1. On a coordinate plane, a parabola opens up, it goes through (0, negative 1), has a vertex at (3, negative 10) and goes through (6, 0).

It should be noted that the axis of symettry is the line that divides an object into two equal halves.

Here, the graph of the function has an axis of symmetry at x = 3 is option D. On the coordinate plane, a parabola opens up, it goes through (0, negative 1), has a vertex at (3, negative 10) and goes through (6, 0).

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Answer: D.  f(x) = x² - 6x - 1

Right on Edge 2023 :)

Answer:

Step-by-step explanation:

Answer:

The Father is currently 47 and the Son is 7

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]

We also learn that (F+3) = 5(S+3)  [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F).  I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

Father is 47 and Son is 7

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5.  Yes, 9*5 = 45

In 3 years will he be 5 times older than his son?  Yes, Father would be 50 and son would be 10.  5*(10) = 50

Answer:

4

Step-by-step explanation:

Is that a log with the base of   3√(2)  ?

If so....my calculator says the answer is   4

Let's see if we can do it w/ou the calculator:

3 sqrt(2)^x = 324 =  3^4 * 2^2     Now 'LOG' both sides:

x log (3 sqrt 2)  =   log (3^4 *2^2)  =  4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)

                       now divide both sides by log (3 sqrt2 )

  x = 4        (If I did the math correctly ! )  

Answer:

Anne will walk for 2 hours.

Step-by-step explanation:

Distance formula = velocity × time

Total distance is 18.5 km

Anne travels by train = 10 km

and by bus = 1.5 km

let the distance covered by anne by walking be x

10 + 1.5 + x = 18.5

x = 18.5 - 10 - 1.5

x = 7km

Rate of walking is 3.5 km per hour

the time she will take while walking = 7 ÷ 3.5 = 2 hours.

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Answer: sqrt 3 / 2

Step-by-step explanation: cos20°sin80°-cos80°sin20° is about 0.66 and sqrt(3)/2 is about 0.66.

Please mark as brainliest if my answer was correct and/or helpful.

Answer:

2nd and third option

Step-by-step explanation:

The second option just combines the 6.5p and the 0.01p on the right side to obtain 6.49p. The third option just multiplies both sides by 100.

Answer:

[tex]\large \boxed{\sf 3x\sqrt[3]{y^5}}[/tex]

Explanation:

[tex]\rightarrow \dfrac{\sqrt[3]{\sf 189x^5y^7}}{\sqrt[3]{\sf 7x^2y^2}}[/tex]

[tex]\rightarrow \sf \sqrt[3]{\dfrac{\sf 189x^5y^7}{\sf 7x^2y^2}}[/tex]

[tex]\rightarrow \sqrt[3]{\sf 27x^3y^5}[/tex]

[tex]\rightarrow \sqrt[3]{\sf 27} \sqrt[3]{\sf {x^3} }\sqrt[3]{\sf y^5}}[/tex]

[tex]\rightarrow \sf 3x\sqrt[3]{y^5}[/tex]

which of the following sets are discrete?

Answer: C. {2,4,6,8}

Step-by-step explanation:

because constituting a separate entity : individually distinct several discrete sections. 2a : consisting of distinct or unconnected elements : noncontinuous. b : taking on or having a finite or countably infinite number of values discrete probabilities a discrete random variable.

The incorrect rounding for 53.864 is 53.87

The decimal to be approximated is as follows;

53.864

The first option rounded the decimal to 2 significant figures or a whole number.

The second option is incorrect because they rounded it wrongly to 2 decimal places. The correct 2 decimal round is 53.86.

The third option is approximated rightly to one decimal place.

The last option is rounded to the closes tens term.

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Answer:

The tens in 1,567 is 60.

The tens in 145,577 is 70.

The hundreds in 146,888 is 800

Step-by-step explanation:

When looking for tens, you look for the value in the tens column.

For example, in 123, there is a 2 in the tens so it is 20.

Answer:

c = 5√5

Step-by-step explanation:

When we have a right triangle, there is a property about its measurements that is always true, and its called the "Pythagorean Theorem"

First, let's understand the basic terms we use to describe the sides of a triangle:

we can call one leg "a", the other leg "b" and the slanted side "c"

("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)

the pythagorean theorem:

a² + b² = c²

here, our "a" is 5, our "b" is 10 {and we don't know what c is}

let's try plugging these values into our formula:

a² + b² = c²

5² + 10² = c²

25 + 100 = c²      

125 = c²

now, we know what c² is--but we want to know c,

so we must take the square root of both sides

√125 = √c²

√125 = c

now, while √125 is our answer, we can simplify further!

this is because 125 can be made up of 5 · 25

so, [tex]\sqrt{125} = \sqrt{5*25}[/tex]

and

[tex]\sqrt{5*25}=\sqrt{5}*\sqrt{25}[/tex]

we can take out the square root of 25 (5):

[tex]=\sqrt{5}*5[/tex]

we write this as such: [tex]5\sqrt{5}[/tex]

so, in simplest radical form, c = 5√5

(√125)

hope this helps!! have a lovely day :)

Answer:

4 is my answer:))))) maybe this will help

Answer:

1

Step-by-step explanation:

it depends on how many choices there are

If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert

(1 * 1 * 1 = 1)

then there is 1 meal choice

If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.

(7 * 12 * 6 = 504)

then there are 504 different options

If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert

(5 * 12 * 3 = 180)

then there are 180 options

12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert

(12 * 10 * 6 = 3240)

then there are 3240 meal options

you have to multiply the number of entrées (e), meals (m), and desserts (d)

e * m * d = x

you are solving for x, which is the different meals available aka your answer.

so plug in the numbers and that should give you the answer!

hope this helps:)

A fourth of a third of two fifths is a thirtieth.

(1 x 1 x 2) / (4 x 3 x 5) = 2 / 60 = 1 / 30

A thirtieth of a number () is fifteen, the number is four hundred and fifty.

= 15 / (1 / 30) = 15 x 30 = 450

forty percent of four hundred and fifty is one hundred and eighty.

(450 / 100) x 40 = 180

Answer:

The number is 450

Step-by-step explanation:

One fourth is 1/4,

One third is 1/3

and two fifths is 2/5

let the number be x.

So,

One fourth of one third of two fifths of x is 15.

that is,

1/4 * 1/3 * 2/5 * x = 15

2/4*3*5* x = 15

2/60 * x = 15

1/30 * x = 15

1 * x = 15*30

x = 450

Therefore the number is 450

The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is

[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]

The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-

[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is

[tex]tan\theta = tan\dfrac{\pi}{4}=1\ \ \ \ Cos \theta=Cos\dfrac{\pi}{4}=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta =Sin\dfrac{\pi}{4}= \dfrac{\sqrt{2}}{2}[/tex]

The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-

[tex]tan\theta=tan \dfrac{\pi}{6}= \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta =Sin\dfrac{\pi}{6}= \dfrac{1}{2} \ \ \ \ \ Cos \theta = Cos\dfrac{\pi}{6}= \dfrac{\sqrt{3}}{2}[/tex]

Therefore the trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is

[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]

The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-

[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]

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Answer:

a) 19 cm

Step-by-step explanation:

Area of a parallelogram: b • h

Given values:

Substitute these values into the formula:

⇒ A = b • h

⇒ 228 = b • 12 [multiply]

⇒ 228 = 12b [divide both sides by 12]

⇒ 228 ÷ 12 = 12b ÷ 12

⇒ 19 = b

Therefore, the base of the parallelogram is 19 cm.

Answer:138,336

Step-by-step explanation:Because one mile=5280 so that takes out a and d but then just multiply 26.2 and 5280 equals 138,336 hope this helps

138,336 feet is equivalent to 26.2 miles.

Hence, Option C is correct.

Given that,

Length of standard marathon = 26.2 miles

We have to calculate the length of it into feet

Since we know that,

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Since we know that

1 miles = 5280

Now to find the length of standard marathon in feet,

Multiply 5280 with 26.2.

Hence the length of marathon in feet,

= 5280 x 26.2

= 138,336 feet.

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Answer:

2 pi : 1

Step-by-step explanation:

for every one unit of radius, there are two pi units in the circumference!

De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.

En esta situación una persona recibe un descuento por la compra de su celular, el precio a pagar es el producto de multiplicar el coste sin descuento y el porcentaje remanente en forma fraccionaria. El porcentaje remanente se calcula al restar el descuento del cien por ciento. A continuación, procedemos al cálculo requerido:

x = 4500 × (1 - 76/100)

x = 1080

De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.

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Answer: 4 blue chips (brochure), 6 yellow chips (news article), and 10 red chips (computer presentation).

Step-by-step explanation: If you have 20 colored chips, then 20% of the people that chose the brochure will be 20% of 20 of the chips. That is 20 * 0.2 = 4. Now, to find how to model the people who chose the news article, it will be 30% of the 20 chips. That is 20 * 0.3 = 6. Thus, 6 chips can be modeled for the news articles. Lastly, we add 6 + 4 and that is 10. The rest is another ten out of the 20. Thus, we can use 10 red chips to model the computer presentation.

The teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

A division is a process of splitting a specific amount into equal parts.

To model this situation using colored chips, we can use the following approach:

Divide the total number of chips (20) into five equal parts, each representing 20% of the total number of students.

For the making a brochure option, use four blue chips to represent the 20% of students who choose this option.

For the writing a news article option, use six yellow chips to represent the 30% of students who choose this option.

For the designing a computer presentation option, use ten red chips to represent the remaining 50% of students who choose this option.

So, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

Hence,  the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

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