Which function can be used to model the graphed geometric sequence? f(x 1) = five-sixthsf(x) f(x 1) = six-fifthsf(x) f(x 1) = five-sixths superscript f (x) f(x 1) = six-fifths superscript f (x)

Answers

Answer 1

The function that can be used to model the graphed geometric sequence is y = 1555.2(5/6)^x

Exponential functions

The standard exponential function is expressed as y = ab^x

Using the coordinates (3, 900) and (4, 750)

Create the equations

900 = ab^3 ............. 1

750 = ab^4 ................. 2

Divide

900/750 = 1/b
b = 75/90
b = 5/6

Determine the value of "a"

900 = a(5/6)^3

900 = (125/216)a

a = 1555.2

Determine the required equation

y = 1555.2(5/6)^x

Hence the function that can be used to model the graphed geometric sequence is y = 1555.2(5/6)^x

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Which Function Can Be Used To Model The Graphed Geometric Sequence? F(x 1) = Five-sixthsf(x) F(x 1) =
Answer 2

Answer:

a

Step-by-step explanation:


Related Questions

What Probability that any random music purchased in 2004 was not a Music video. If the total American music sells in 2004 for Cd was 80 and Digital single was 15 and music video was 3 and other was 2??????? ( When it says other it means random music)

Answers

Answer:

97%

Step-by-step explanation:

1/5 is 40% of what number

Answers

Answer:

8

Step-by-step explanation:

To get a fraction of a number, we will simply multiply this fraction by the number.

Please help, Write the sum.

Answers

[tex]12\sqrt{23 x^{13}}+14\sqrt{23 x^{13}}\\\\=(12+14)\left(\sqrt{23 x^{13}}\right)\\\\=26\left(\sqrt{23 x^{13} }\right)\\\\=26\sqrt{23} \sqrt{x^{13}}\\\\=26\cdot 23^{\tfrac 12} \cdot x^{\tfrac {13}2}[/tex]

5) Amber picked fruits from her family's fruit trees and put them into baskets. She put 10 apples into each of 4 baskets, 10 oranges into each of 3 baskets, and 12 peaches into each of 5 baskets. How much fruit did she pick in all?

Answers

Total apples.

10(4)40

Total oranges

10(3)30

Total peaches

12(5)60

Total fruits

60+40+30130

Answer:

130

Step-by-step explanation:

We have given in the question 'she put 10 apples into each of 4 baskets.

Into = Multiply

we have to Multiply 10 with 4

=> 10 × 4

=> 40 Apples

Similarly, in the case of oranges we have to Multiply 10 with 3

=> 10 × 3

=> 30 Oranges

Same method will be followed to find the number of peaches that she picked .

=> 12 × 5

=> 60 Peaches

Total fruits Amber picked = Number of apples + Number of oranges + Number of peaches

=> Total fruits = 40 + 30 + 60

=> Total Fruits = 130 .

1. Find the synonym in this sentence that hints at the meaning of the underlined word:
Nelly was astounded-the party was a complete surprise.
surprise
party
complete
Nelly

Answers

Answer:

Step-by-step explanation:
Surprise! It is the closest to the noun " astounded "

Answer:

surprise

Step-by-step explanation:


Write the quadratic equation whose roots are -6 and 5, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
= 0

Answers

Answer:

The equation is 3x²-6x+5

hey there!

Given roots are-6,5

Sum of roots = -6+5 = -1

Product of roots = -6 x 5 = -30

Now the quadratic expression is

[tex]3x^{2}+x-30=0[/tex]

Hope this helps you dear;)
Have a good day :3

I need the answer because i been trying to figure this out for 20 minutes

Answers

Answer:

sqrt (65) = 8.062 units  =  x

Step-by-step explanation:

use Pythagorean theorem for a right triangle

a ^2 + b^2 = c^2     where a   and  b   are the legs and c is the hypotenuse

4^2   + x^2   = 9^2

x^2 = 9^2 - 4^2

x^2 = 65

x = sqrt 65

Answer:

c

Step-by-step explanation:

Quadrilateral PQRS is inscribed in a
circle. The ratio of mP to mR is 2:4.
What is mR?
F 30°
H120°
G 60°
J Not here

Answers

Answer: H

Step-by-step explanation:

what interest rate do you need for an $5000 investment compounded annually to double in 10 years?

Answers

Answer:

The investment rate that you need for a 5000$ invest compounded annually to double in 10 years is 55,000

Step-by-step explanation:

Each edge of this cube is 6.7 cm long.
Work out
a) volume
b) surface area

Answers

Answer:

Hii.. The answer of the volume is 300.74 cm

And the surface area is 269.34 cm

Answer:

V=6.7×6.7×6.7

=300.763 cm^3

SA=6×6.7×6.7

=269.34 cm^2

Which has least value when x=100?

Answers

                - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

          Which expression has least value when x=100?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

Substitute 100 for x and solve:-

[tex]\bold{\dfrac{1}{100}}[/tex]

[tex]\bold{\dfrac{10}{100}}[/tex]

[tex]\bold{1-100=-99}[/tex]

[tex]\bold{10-100=-90}[/tex]

Since -99 is the smallest number here, the expression with the least value when x=100 is Option C - [tex]\checkmark\dashrightarrow\boxed{\boxed{1-x}}}\dashleftarrow\checkmark[/tex]

Good luck.

          - - -- - - - - - - - - - - - - - - - - - - -- - - - -

What is the percentage of 20 from 400?

Answers

(20/400)×100

5%

hope it helps...!!!

Answer:5%

Step-by-step explanation:

40 is 10% so then you half that which is 20=5%

What is the distance in units between the points (6,-3) and (6,1)

Answers

Step-by-step explanation:

that is in this case totally simple :

both points have the same x value.

that means they are both on the same vertical line at x = 6.

so, we only need to calculate the y difference, and that is then their distance :

1 - -3 = 1 + 3 = 4

the distance is 4 units.

please help i font understand

Answers

Prime numbers between 1 and 5 = 2,3,5
To get the probability we get the amount of numbers that are prime and put them over the total number of sides of the spinner which equals: 3/5

Answer:

3/5

Step-by-step explanation:

Concepts + Application + Solution

We can write the probability of this event happening like this:

(number of prime numbers)/(total number of sections)

For recap, a prime number is a number that's greater than 1 whose only factors are 1 and itself. Take the number 7 for example; its factors are only 7 and 1.

Given this information above, let's find the prime numbers in the spinner.

1: not prime (not greater than 1)2: prime3: prime4: not prime (divisible by 2)5: prime

As you can see, we have 3/5 numbers that are prime, making the probability of landing on a prime number 3/5.

Eddie worked 50 hours this week. He gets paid $12.00 per hour for the first 40 hours and
then gets double-time (2) for the rest of the time. How much money did he make this
week?

Answers

Answer:

720

Step-by-step explanation:

720 40 x 12 +24x10 yeah good luck on that

I will multiply twenty negative numbers​ together, with fifteen positive numbers. If the value of my number is​ x, how does it compare to​ zero? Fill in the blank using​ >, <, ​ or, ​ = to make the statement true.
x enter your response here

Answers

Answer:

x = 27

Step-by-step explanation:

Finding variation constant :

k = y/xk = 18/9k = 2

Substituting in the equation y = kx, where y = 54 :

54 = 2xx = 54/2x = 27

HELP!!!! NO ABSURD ANSWERS IF YOU DON'T WANT TO GET YOURSELVES REPORTED!! NEED HELP AS SOON AS POSSIBLE!!!!

What is the circumference of a circle with a radius of 3 and a diameter of 14?

PLSSSSS

Answers

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

        What is the circumference of a circle with a radius of 3 and a diameter of 14?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Formula for Circumference of a circle:-

[tex]\bold{Circumference_{(circle)}=\pi d}[/tex]

First, we multiply the radius times 2 in order to get the diameter (the radius is exactly one-half of the diameter).

Now, we substitute 6 (3•2) for d:-

[tex]\sf{C=\pi *6}[/tex]            [π=3.14]

[tex]\bigstar[/tex]On simplification,

[tex]\sf{C=3.14\times6}[/tex]

[tex]\bigstar[/tex] Which results in

[tex]\sf{C=18.84\:cm}[/tex]

                 [tex]\rule{200}{2}[/tex]

Now, let's find the circumference of a circle whose diameter is 14:

[tex]\sf{C=\pi d}[/tex]

Substitute 14 for d:-

[tex]\sf{C=14\pi }[/tex]                   Next, substitute 3.14 for pi:-

[tex]\sf{C=14\times3.14}[/tex]

[tex]\bigstar[/tex] Which results in:-

[tex]\sf{C=43.96\:units}[/tex]

Good luck with your studies.

         [tex]\rule{290}{2}[/tex]

a piece of string measures 2 16/20 meters which of the following is equivalent to the length of the string in meters

Answers

The equivalent to the length of the string in meters is 14 / 5 meters

How to find the equivalent length of a string?

The length of the string is expressed in a mixed fraction form.

length of the string = 2 16 / 20

let's express it in a simplified form. This is usually in an improper fraction form.

Therefore,

2 16 / 20 = 56 / 20

Hence,

56 / 20 = 14 / 5 meters

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A volleyball has a surface area of 1 465cm^2 Calculate the volume of five volleyballs. Round your answer to the nearest THOUSAND.

Answers

The volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.

What is a sphere?

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

We know the surface area of the sphere is given by:

SA = 4πr²

1465 = 4πr²

r = 10.79 cm

Volume of the sphere = 4πr³/3

V = 4π(10.79)³/3

V = 5262.03 cubic cm

Volume of five volleyballs = 5×5262.03 = 26310.15 cubic cm

Thus, the volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.

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Does Anybody know this? Find the area of the shaded sector

Answers

Step-by-step explanation:

your teacher was very nice and warned you about the trap in the question.

so, really, what do we have to do ?

a full circle represents 360°.

the shaded sector is the full circle minus the white sector !

this is the same as directly calculating the shaded sector for 360-75 = 285°.

so, the area of a circle is

pi×r²

in our case

pi×20² = 400pi

the needed fraction of the whole circle is either

75/360, if we want to subtract it for the solution

or

285/360, if we want to calculate the solution directly.

both lead to the same result.

400pi×360/360 - 400pi×75/360 =

= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =

= 316.6666666...pi ≈ 316.7pi

Given the quantity of 3 x squared plus x minus 4, all over x minus 1, what are the domain and range? domain is x is all real numbers where x does not equal negative 1 comma range is y is all real numbers where y does not equal 1 domain is x is all real numbers where x does not equal 1 comma range is y is all real numbers where y does not equal negative 1 domain is x is all real numbers where x does not equal negative 1 comma range is y is all real numbers where y does not equal negative 7 domain is x is all real numbers where x does not equal 1 comma range is y is all real numbers where y does not equal 7

Answers

The domain of the expression is a real number except 1 and the range of the expression is also a real number.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The expression is given below.

(3x² + x - 4) / (x - 1)

The expression can be written as

(3x² + 4x - 3x - 4) / (x - 1)

[(3x + 4)(x - 1)] / (x - 1)

3x + 4

The domain of the expression is a real number except 1 and the range of the expression is also a real number.

More about the domain and range link is given below.

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what is 1 2/3 - 2 1/3 ​

Answers

Answer:

-2/3

Step-by-step explanation:

[tex]= 1 \frac{2}{3} - 2 \frac{1}{3}\\=\frac{1 * 3 + 2}{3} - \frac{2 * 3 + 1}{3} \\= \frac{5}{3} - \frac{7}{3}\\ = \frac{5 - 7}{3} \\\\= \frac{-2}{3}[/tex]

The car that Ms. Garcia is buying comes with a choice of 3 trim lines (standard, sport, or luxury), 2 types of transmission (automatic or manual), and 8 colors. How many different option packages does Ms. Garcia have to choose from? Explain.

Answers

Answer:

Number of different options for Ms. Garcia are

3 * 2 * 8 = 48

So 48 options

Step-by-step explanation:

There are m ways to make 1st selection and n ways to make 2nd selection and p ways to make 3rd selection so thats why I did (m * n * p)

Parallel lines p and q are intersected by transversal r, as show.

Answers

Using the corresponding angles theorem, the value of x is 150°

Calculating the measures of angles

From the question, we are to determine the value of the angle marked x°

From the diagram,

The angle that supplements the angle marked 30° is corresponding to angle x

Since corresponding angles are equal

Then, we can write that

∴ x = 180° - 30°

x = 150°

Hence, the value of x is 150°

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To which of the following situations can the function y=5x+10 best be applied?
A. The number of miles a person walks if he walks for 5 hours at the rate of 10 miles per hour
B. The total weight on a scale if 5 pounds is placed there initially and a series of 10-pound weights are added to it
C. The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips
D. The combined length of 5 boards, each 10 feet longer than the width of a doorway

Answers

The situation in which the linear function y = 5x + 10 can be applied is given by:

C. The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we want a function with a slope of 5(rate of change), and an y-intercept of 10(initial quantity), hence option C is correct.

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how do you measure the perimeter of a shape​

Answers

Perimeter is a measure of the area or distance around a two-dimensional shape. On a rectangle, for instance, the perimeter is the total length of the rectangle's outline, including the two widthwise borders and the two lengthwise borders.

To determine the perimeter of a shape, therefore, you add together all the dimensions that make up the shape's outer edge. Being able to find the perimeter of a shape has many applications in the real world. Say, for example, that you wanted to build a fence around your backyard. In order to purchase materials, you need to know how much fencing you'll need, and to determine that you have to figure out the perimeter of the area you want to fence in.

Evaluate the given expression for x = 3 and y = 2.

Answers

Answer:

11

Step-by-step explanation:

3(2) - (3(3) + 2) + 16

6 - (9 + 2) + 16

6 - 11 + 16

11

good luck, hope this helps :)


39-50 find the limit.
41. [tex]\lim _{t \rightarrow 0} \frac{\tan 6 t}{\sin 2 t}[/tex]

Answers

Write tan in terms of sin and cos.

[tex]\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}[/tex]

Recall that

[tex]\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1[/tex]

Rewrite and expand the given limand as the product

[tex]\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)[/tex]

Then using the known limit above, it follows that

[tex]\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}[/tex]

Hey could you help me
Estimate
754÷12

Answers

Your answer is 62.8

Have a good day

Around 62 (roughly 62.8) is the answer

What is the surface area of a cube with a side length of 3 inches?

Answers

54

Step-by-step explanation:

Find the area of on side of the cube...it's a cube so all sides are the same

3x3=9

multiply the area of one face by the number of faces, 9x6=54

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