Pls help ASAP!!!!!

Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.

Answers

Answer 1

Answer:

0. 116

Step-by-step explanation:

The function is given as :-

[tex]\boxed{f(d) = 5(1.02)^d }[/tex]

and we have to find the rate of change from d = 4 to d = 11

[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]

The final input value is 11 whereas the initial input value is 4.

The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).

[tex]{\underline{Initial\:Output}}[/tex]

f(4) = [tex]5(1.02)^4[/tex]

f(4) = 5 × 1. 08

f(4) = 5. 41

[tex]{\underline{Final\:Output}}[/tex]

f(11) = [tex]5(1.02)^11[/tex]

f(11) = 5 × 1. 24

f(11) = 6. 22

[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]

[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]


Related Questions

In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulas for the area of a triangle, such as half the base times the height. Use Heron's formula to find the area, in square feet, of ΔABC.

Options:

A)

7.385

B)

8.270

C)

6.495

D)

5.591

Answers

Answer:

C) [tex] 6.495\: ft^2 [/tex]

Step-by-step explanation:

a = 7 ft, b = 3 ft, c = 5 ft (Given)

Therefore, a + b + c = 7 + 3 + 5 = 15 ft

Let's calculate semi Perimeter of the triangle which is given by s

[tex] s =\frac{a+b+c}{2}=\frac{15}{2} = 7.5 \: ft[/tex]

Now, by Heron's formula, area of triangle ABC is given as:

[tex] A(\triangle ABC) =\sqrt{s(s-a) (s-b)(s-c)} [/tex]

[tex]\therefore A(\triangle ABC) =\sqrt{7.5(7.5-7) (7.5-3)(7.5-5)} [/tex]

[tex]\therefore A(\triangle ABC) =\sqrt{7.5(0.5) (4.5)(2.5)} [/tex]

[tex]\therefore A(\triangle ABC) =\sqrt{42.1875} [/tex]

[tex]\therefore A(\triangle ABC) =6.49519053 [/tex]

[tex]\therefore A(\triangle ABC) =6.495\: ft^2 [/tex]

if the diagonal of a square is √48 what is the area of a square​

Answers

Answer:

using Pythagoras' theorem c²=a²+b²

the diagonal is the hypotenuse of one of the triangles formed

let x represent one side of the square

√48²=x²+x²

√48²=2x²

48=2x²

48/2=2x²/2

24=x²

√24=√x²

4.8989794855663561=x

~4.90

Area of the square=side x side

4.90x4.90

24.01units²

What is the phase shift of F(x) = 3 sin(2x - 4)?

Answers

Answer:

2

Step-by-step explanation:

Use the form asin(bx−c)+d

a=3

b=2

c=4

d=0

Phase Shift: c/b

Phase Shift: 4/2 = 2

Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?

Answers

100miles in 2hrs
650miles in x hrs

If you think of it 650/100 = 6.5

So the distance is 6.5 times

So the time is 6.5 times 2hrs

=13 hrs total

Graph and identify image coordinates rx=2​

Answers

Answer:

Step-by-step explanation:

Rule defining the reflection across the line x = -2 has been given as,

[tex]r_{x=-2}[/tex]

Line x = -2 will work as a mirror for the given triangle J, K, L.

That means distance of the vertices J, K and L and image points J', K' and L' will be equidistant from the line x = -2,

Vertices of the image triangle J'K'L' will be,

J' → (-5, 2)

K' → (-3, 2)

L' → (-4, 1)

Ed buys a box of eggs costing £2.40, two packs of bacon for £2.60 each and two tins of baked beans.
He pays with a £10 note and gets 80p change.
How much does a tin of beans cost in pounds, £?

Answers

Answer:

£0.80

Step-by-step explanation:

1 box of eggs: £2.40

2 packs of bacon: 2 * £2.60

2 tins of baked beans: 2x

Change: 80p

Total = 2x + £2.40 + £5.20 + £0.80

Total = 2x + £8.40

2x + £8.40 = £10

2x = £1.60

x = £0.80

Answer: £0.80

find the size of each of the unknown angles.
plz solve this question fast as soon as possible with solution.

Answers

Answer:

Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°

Step-by-step explanation:

To find the measure of Angle a, we add 55 and 45, then subtract the sum from 180.

180 - 100 = 80

Angle a is 80°.

Then, we solve for Angle b. Line segment CD is congruent to Line AB, so Angle b is congruent to 55°.

After that, we find Angle c. Line segment AC is congruent to Line segment BD, so Angle c is congruent to 45°.

Lastly, we solve for Angle d using the same method we used for Angle b and Angle c. Angle d is congruent to Angle a, so it measures 80°.

So, Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°.

6 students were asked the age of their oldest sibling:

21, 31, 26, 24, 28, 26.

Arrange the scores from lowest to highest.

Find the following. LABEL you answers. Q1, Q2, Q3, IQR, and Range.

Q1=

Q2 (median)=

Q3=

IQR= Q3- Q1

IQR=

Range: Max score - Min score

Range =

HELP ASAP PLEASE

Answers

Answer:

Q1= 31 AND 28

Q2= 26 AND 26

Q3= 24 AND 21

Step-by-step explanation:

2log₃4-log₃8+log₃9/8
hurry im timedd​

Answers

Answer:

[tex]2(1 - log_{3}(2) )[/tex]

Step-by-step explanation:

I have attached the explanation above, hopefully this help

What is the measure of angle ABC of a circle

Answers

Answer:

the angle <ABC is equal to 65°

The x-intercept, or zero, of function g is x = . Function g is over the interval [-5, 5]. As the value of x approaches positive infinity, the value of g(x) approaches infinity.

Answers

Answer:

boom box second one one my bad just need points my g

Step-by-step explanation:

Answer:

3

decreasing

negative

Step-by-step explanation:

The graph of function g crosses the x-axis at (3,0), so there is a zero at x = 3.

As the values of x increase, the values of g(x) decrease, so function g is decreasing along all intervals, including the interval [-5, 5].

As the values of x approach positive infinity, cube root functions either approach positive infinity or negative infinity. Since this function is decreasing, the values of g(x) approach negative infinity.

Rewrite the sentences below to make them more concise. During that time period, many car buyers preferred cars that were pink in color and shiny in appearance.

Answers

Answer:

Pink, shiny cars were preferred by buyers at that time

Step-by-step explanation:

Rewriting the sentence, removing unnecessary words

Please help me with this one

Answers

Answer:

71.51

Step-by-step explanation:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=3·3+7·3+7·3+1

2·﹣34+2·(3·7)2+2·(3·7)2﹣74+2·(7·7)2﹣74=71.51219

A microwave oven has a capacity of 1.75 ft³. The interior of the microwave is 18in wide and 14in deep. What is the height of the interior of the microwave, to the nearest tenth of a foot?

Answers

Answer:

Step-by-step explanation:

This is a volume problem as indicated by the exponent on the unit feet. Cubed is a volume thing, whereas squared is an area thing, etc.

The volume for a box-shaped microwave is

V = l x w x h and we are given the length and the width, but those are in inches and they need to be in feet. That's the tricky part here...catching the inconsistency in the units!

18 inches = 1.5 ft and

14 inches = 7/6 feet

Filling in:

1.75 = 1.5 x 7/6 x h and

1.75 = 1.75h so

h = 1 foot

Factorise 2ab+2ac. Please

Answers

Answer:

2a(b+c)

Step-by-step explanation:

Find HCF (2a)

Then factorise

Answer:

2a(b+c)

.............

i really need someone’s help on this one asap.

Answers

Answer:

(3,-19)

Step-by-step explanation:

To find the approximation where both functions equal, find where both lines intersect at. Both lines intersect in the Fourth Quadrant so The first 2 are wrong.

The y coordinate is lesser than -10 so the 4th one is wrong.

The answer is (3,-19)

Answer:   Choice C.  (3, -19)

Explanation:

The solution to f(x) = g(x) is where the f(x) and g(x) curves cross, aka the intersection point.

Based on the graph alone, it's a bit tricky to tell where they cross. Luckily, your teacher gave you multiple choices to pick from. We can rule out choices A and B since x < 0 here, but the x coordinate of the intersection is positive.

Choice D can be ruled out because the intersection point has a y coordinate such that -20 < y < -15. It looks like y is much closer to -20 than it is to -10. So there's no way to have y = -8 happen.

The only thing left is choice C. It appears that the intersection point could be (3,-19).

Find the scale factor and the value of x. HELP !

Answers

Answer:

k = 5/3

x = 21

Step-by-step explanation:

Here, we have two similar shapes

The scale factor here would be the ratio of the corresponding similar sides

so we have k as 15/9 = 5/3

To find the value of x

When two shapes are similar, the ratio of the sides corresponding are equal

So we have it that;

x/35 = 9/15

= 15 * x = 9 * 35

15x = 315

x = 315/15

x = 21

Which best describes the vertex of the graph?


a (-3, -4)
b (-3, -4)
c (3, -4)
d (3, -4)

Answers

Answer: C

Step-by-step explanation:

C. Is the answer for sure

If a = 5, b = 4, and c = 7, find the value for 3(b + a) = c.
10
15
34
20

Answers

Answer:

20

Step-by-step explanation:

3 (b + a) = c

3 (4 + 5) = 7

12 + 15 = 7

27 = 7

27 - 7

20

[tex]\huge\boxed{ \sf{Answer}} [/tex]

Given,

[tex]a = 5 \\ b = 4 \\ c = 7[/tex]

And the equation we need to solve is,

[tex]3(b + a) = c[/tex]

To find the answer, you need to substitute the values of a, b & c in the equation.

[tex]3(b + a) = c \\ 3b + 3a = c \\ ( 3 \times 4) +( 3 \times 5) = 7 \\ 12 + 15 = 7 \\ 12 + 15 - 7 = 0 \\ = 27 - 7 \\ = 20[/tex]

The answer is 20.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

प्रश्नावली- 13.2 1. एक तम्बू के नीचे का भाग लम्बवृत्तीय बेलनाकार तथा ऊपरी भाग शंक्वाकार है। यदि तम्बू के आधार का व्यास 14 मील बेलनाकार भाग की ऊँचाई 5 मीटर तथा तम्बू की सम्पूर्ण ऊँचाई 14 मोटर है तो तम्बू का आयतन ज्ञात कोजिए। P.01 :​

Answers

I can't understand the meaning of question

PLEASE HURRY Aline has a slope of -1/2 and a y-intercept of -2. What is the x-intercept of the line?

Answers

Answer:

x- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{2}[/tex] and c = - 2 , then

y = - [tex]\frac{1}{2}[/tex] x - 2 ← equation of line

To find the x- intercept let y = 0

0 = - [tex]\frac{1}{2}[/tex] x - 2 ( add 2 to both sides )

2 = - [tex]\frac{1}{2}[/tex] x ( multiply both sides by - 2 to clear the fraction )

- 4 = x

The x- intercept is - 4

Find the surface area of the
triangular prism.
7 cm
cm
7 cm
9 cm
5 cm
[?] sq cm
Please HELP ME

Answers

Hello,

I am going to calculate all the surface areas of the prism:

1) the bases: 2*(6*9)/2=64 (cm²)

2) perimeter of the base: 7+9+7=23 (cm)

3 lateral area: 23*5=115 (cm²)

All surface areas= 64+115=179 (cm²)

What does it means sq ? (for a foreigner) ?

All surface areas= 64+115=179 (cm²)

What is triangular prisms?

A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry. If the sides of a right triangular prism are not rectangular, the prism is oblique.

Given

the bases: 2*(6*9)/2=64 (cm²)

perimeter of the base: 7+9+7=23 (cm)

3 lateral area: 23*5=115 (cm²)

All surface areas= 64+115=179 (cm²)

To know more about triangular prisms refer to:

https://brainly.com/question/3160908

#SPJ2

this is so ez guys cmon

Answers

Answer:

there are 6 units

hope this help

there are 6 units lol

Please help me with this one.. it's due today!!!

Answers

Answer:

75 in^2

Step-by-step explanation:

The surface area is the sum of the areas

Area of the square:

A = s^2 = 5^2 =25

Area of one triangle

A = 1/2 bh = 1/2 (5)(5) = 25/2

There are 4 triangles

4* (26)/2 = 50

The sum is 25+50 = 75

Hi!

[tex]P_{\square}=5^2=25 \ in.^2\\\\P_{\triangle}=\frac{1}{2}\cdot5\cdot5=\frac{1}{2}\cdot25=12,5 \ in.^2\\\\P_c=25+4\cdot12,5=25+50=\boxed{75 \ in.^2}[/tex]

Someone help?????????????

Answers

Answer:

D

Step-by-step explanation:

f(x)=x²+3x+5

put x=a+h

f(a+h)=(a+h)²+3(a+h)+5

=a²+2ah+h²+3a+3h+5

The area of the rectangular sandbox at Dave's school is 117 square feet. The sandbox has a width of 9 feet as shown in the diagram. What is the perimeter of the sandbox?

Answers

Answer:

ay bru ima tell yu dhis rn is c

Step-by-step explanation:

HELP ME WITH THISSS PLZZZ!!!! ahh thank youu lol

Answers

The answer is b I think

Question 17 (5 points)
Determine the value of x in the isosceles trapezoid.
2x
х
x = 60°
x= 65°
x= 180°
*= 90°

Answers

x=65. helpshdidnskdndikdndod disks djdnd

Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?

Answers

Answer:

7/50 = x/75

x = 10.5

therefore he would run 10.5 miles in 75 minutes

Answer:

In 75 minutes, she runs (7/50) x 75 = 10.5.

She runs 10.5 miles in 75 minutes.

Step-by-step explanation:

ayuda por favor es para mañana

Answers

Answer:

sorry??

Step-by-step explanation:

Other Questions
At age 16, Juana has an appropriate weight and eats whatever she wants. What's the best strategy Juana can use to ensure good health? Write the following using algebraic notation, using the letter x for anyunknown numbers:I think of a number, double it, then add fifteen. How were the elements in the first periodic table arranged? O A. In order of atomic number B. Alphabetically by element name C. In order of date of discovery O D. In order of atomic mass What is the value of x in the equation 1x - y = 30, when y = 1524880200 The width of a rectangle is only 15% of its length. If the perimeter of the rectangle is 46, what is the length In the 19th century, Horatio Alger Junior published a series of novels about young American men who repeatedly and successfully rose from poverty and oppression into wealth and prestige. Now, these novels are known for creating the "Horatio Alger myth," or the idea that anyone who works hard enough, saves their money, and makes the "right" choices can end up living the American dream--even though this is not universally true or achievable. What is this myth an example of?a. Ethnocentrismb. Material powerc. Hegemonic powerd. capitalism After simplification, the value of 1-2/1(1+2)-3/(1+2)(1+2+3)-4/(1+2+3)(1+2+3+4)-...-100/(1+2+...+99)(1+2+...+100) is a proper fraction in its lowest form. Find the difference of its numerator and denominator. Number 7 please Im struggling and I really need help If you could do any job from home, what would do? Why? Consider the following data that gives the quantity produced and unit price for three different goods across two different years. Assume that the base year is 2015.Good2015 Price2015 Quantity2016 Price2016 QuantityA $2 250 $3 200B $3 300 $ 2 400C $4 400 $5 500What was the real gross domestic product (GDP) in 2016?A. $3,000B. $3,350C. $3,600D. $3,900E. $8,550 pls help me with thisFreedom by Langston HughesFreedom will not comeToday, this yearNor everThrough compromise and fear.I have as much rightAs the other fellow hasTo standOn my two feetAnd own the land.I tire so of hearing people say,Let things take their course.Tomorrow is another day.I do not need my freedom when Im dead.I cannot live on tomorrows bread.FreedomIs a strong seedPlantedIn a great need.I live here, too.I want my freedomJust as you.Describe the speaker of the poem? Is the speaker involved in the action or outside of the action? Mark has diabetes and needs to undergo dialysis twice a week. Dialysis purifies the blood by removing waste and excess water from the blood. Which body system does dialysis perform a function for? Penelope withdraws $4,115.23 at the end of a five-year investment yielding 4% interest, compounded annually. How much did Penelope originally deposit What is a Logos example? Express each of the following decimal number in p/q form3.127bar How did the leaders of early labor unions differ from industrialistentrepreneurs in their views on the U.S. economy?O A. Labor union leaders argued that the police and U.S. military shouldintervene in strikes and other aspects of labor negotiations.O B. Labor union leaders were more committed to promoting the idealsof social Darwinism in American factories.C. Labor union leaders were more interested in maintainingtraditional elements of American capitalism.O D. Labor union leaders believed that even low-level employees shouldhave some influence over their wages and conditions. Which of the following was NOT a form of American resistance to British taxes? Circle Theorems 1! need help Anna and Matthew spent the whole time watching TV. This made their mother dislike.=> Anna and Matthew spent State True or False: 1. Application software can run without the presence of system software. 2. . A language processor translates the machine language into programming language. Backup is a process of shrinking the files on a disk. VisiCalc was the first computer spreadsheet program. An interpreter translates the whole program into an equivalent code in one go.