what is a geometric sequence with a first term of 3/4 and a constant ratio of 4

Answers

Answer 1

Answer:

Below

Step-by-step explanation:

A geometric sequence is a sequence where you keep multiplying a term by the ratio to generate the next one.

The first term is 3/4

Let n0 = 3/4

The next term is n1.

To get n1 we must multiply n0 by the ratio 4.

● n1 = n0×4

This formula gives us the second term. We need a general one that can generate all the terms of the sequence.

Let S(n) be a term of this sequence.

To get n we have multiplied n0 (the first term) by 4 (the ratio) one or many times. Precisely, n times.

So:

● S(n )= n0 ×4^n

no is 3/4

● S(n)= (3/4) × 4^n

This formula generates any term from this geometric sequence. If you want to calculate the 77th term then just replace n with 77.

Answer 2

Answer:

Step-by-step explanation:

To find the next term, multiply the previous term by constant ratio

a₁ = 3/4

[tex]a_{2}=\frac{3}{4}*4=3*1 = 3\\[/tex]

a₃ = a₂ * constant ratio = 3 * 4 = 12

a₄ = a₃ * constant ratio = 12 *4 = 48

Geometric sequence :

3/4, 3,12, 48, 192,.......


Related Questions

Identify the vertical angles

Answers

Answer:

a and c are vertical angles

b and d are vertical angles

Step-by-step explanation:

Vertical angles are angles formed from the same lines, sharing the same vertex and opposite each other

a and c are vertical angles

b and d are vertical angles

Answer:

a and c are vertical angles

b and d are vertical angle

Step-by-step explanation:

On a certain day, the temperature changed at a rate of -3F per hour. How long did it take for the change in temperature to be -33F

Answers

Answer:

11 hours

Step-by-step explanation:

To find how many hours it took, divide -33 by -3

-33/-3

= 11

So, it took 11 hours for the change to be -33°F

10 points! Select the correct answer. Simplify: 6 ÷ 3 + 32 · 4 − 2 A. 22 B. 42 C. 98 D. 36

Answers

Answer:

128

Step-by-step explanation:

6 / 3 + 32 * 4 - 2.

We first calculate 6/3 and 32 * 4:

6 / 3 = 2

32 * 4  = 128

Our expression then becomes 2 + 128 - 2.

We can evaluate, getting 128.

Answer:

36

Step-by-step explanation:

6 ÷ 3 + 3^2 · 4 − 2

= 2 + 9 · 4 - 2

= 2 + 36 - 2

= 38 - 2

= 36

can someone help me? before its late

Answers

1. X+18
2. Y-5
3. x+7=y
4. Y-10
5. 7-x
16. r-s
17. R+25
18. z-12
19. m+9
20. Y-11

Solve Quadratic Equations by Factoring: Solve by factoring and using the Zero Product Property: 1. X^2-25=0 2. X^2=1=0 3. X^2=x+20 WILL MARK BRAINLIEST!!

Answers

Answer:

1. [tex]x = \pm 5[/tex]

2. [tex]x = \pm i[/tex]

3. [tex]x = 5, -4[/tex]

Step-by-step explanation:

1.

[tex]x^2-25=0[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \pm \sqrt{25}[/tex]

[tex]x = \pm 5[/tex]

2.

[tex]x^2 + 1 = 0[/tex]

[tex]x^2 = -1[/tex]

[tex]x = \pm \sqrt{x-1}[/tex]

[tex]x = \pm i[/tex]

3.

[tex]x^2=x+20[/tex]

[tex]x^2 - x - 20 = 0[/tex]

[tex](x-5)(x+4)=0[/tex]

[tex]x = 5, -4[/tex]

-4w=24 w= i really need the answer

Answers

Answer:

-4w = 24 then

w = -6

Step-by-step explanation:

Answer:

w = -6

Step-by-step explanation:

Solve for w:

-4 w = 24

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -4 w = 24 by -4:

(-4 w)/(-4) = 24/(-4)

Hint: | Any nonzero number divided by itself is one.

(-4)/(-4) = 1:

w = 24/(-4)

Hint: | Reduce 24/(-4) to lowest terms. Start by finding the GCD of 24 and -4.

The gcd of 24 and -4 is 4, so 24/(-4) = (4×6)/(4 (-1)) = 4/4×6/(-1) = 6/(-1):

w = 6/(-1)

Hint: | Simplify the sign of 6/(-1).

Multiply numerator and denominator of 6/(-1) by -1:

Answer: w = -6

This line plot shows the number of runs scored in each game by little league team last season. I WILL REWARD BRAINLEST .​

Answers

Answer:

C

Step-by-step explanation:

Albert Works at a farmers market. he recently sold 18 pieces of fruit, 6 or witch were oranges. what is the experimental probability that the nest piece of fruit Albert sells will be an orange?

Answers

Answer:   [tex]\dfrac{1}{3}[/tex].

Step-by-step explanation:

Experimental probability = [tex]\dfrac{favorable\ outcomes}{Total\ outcomes}[/tex]

Given: Total pieces of fruit = 18  (Total outcomes)

Number of oranges = 6 (Favorable )

Then, the experimental probability that the nest piece of fruit Albert sells will be an orange = [tex]\dfrac{6}{18}[/tex]   [By formula of experimental probability]

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

Hence, the required probability is [tex]\dfrac{1}{3}[/tex].

Can someone please help me with this question?!?

Answers

Answer:

(3, 10, 17, 24....)

Step-by-step explanation:

f(x) =  7x - 4

x = 1:

f(1) = 7*1 - 4 = 7 - 4 = 3

x = 2:

f(2) = 7*2 - 4 = 14 - 4 = 10

x = 3

f(3) = 7*3 - 4 = 21 - 4 = 17

then the sequence is:

(3, 10, 17, 24.....)

what is the value of the expression below 2,686 divided by 34

Answers

Answer:The answer is 79

Step-by-step explanation:

Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?

Q2. solution for equation
5(x+1)-3(3x-1)=15(x-2)

Q3. which is not equivalent to 4(2x-1)=3(x+1)-2
A. (2)
B. (-2)
C. (0)
D. (-3)


Q4. if a<0 and b<0 which of the following is not positive
A. ab
B. a+b
C. a÷b
D. a.a
E. a:a

Answers

Answer:

See below

Step-by-step explanation:

Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?

[tex]3b-4a, a=0.5 \text{ and } b=-0.333333...[/tex]

Once

[tex]$-0.3333333... = -\frac{1}{3} \text{ and } 0.5=\frac{1}{2} $[/tex]

[tex]$3\cdot \left(-\frac{1}{3}\right) - 4 \cdot \frac{1}{2} = -1 - 2 =\boxed{-3}$[/tex]

Q2. solution for equation  

[tex]5(x+1)-3(3x-1)=15(x-2)[/tex]

[tex]5x+5-9x+3 = 15x-30[/tex]

[tex]-4x+8 = 15x-30[/tex]

[tex]38 = 19x[/tex]

[tex]$x=\frac{38}{19} = \boxed{2}$[/tex]

Q3. which is not equivalent to [tex]4(2x-1)=3(x+1)-2[/tex]

Just try all the values.

None of them makes the equation equivalent.

[tex]8x-4=3x+1-2[/tex]

[tex]5x=5[/tex]

[tex]\boxed{x=1}[/tex]

Q4. if a<0 and b<0 which of the following is not positive

B. a+b

[tex]a<0 \implies \text{a is negative}[/tex]

[tex]b<0 \implies \text{b is negative}[/tex]

[tex]a \cdot b \implies \text{positive value}[/tex]

[tex]$\frac{a}{b} \implies \text{positive number}$[/tex]

[tex]a:b \text{ is just another notation for division}[/tex]

[tex]a+b \implies \text{negative number}[/tex]

2 5/7+4 3/5= help please

Answers

Answer:

[tex]7\frac{11}{35}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{7}+4\frac{3}{5}[/tex]

add the whole numbers

[tex]2+4=6[/tex]

combine the fractions

[tex]\frac{5}{7}+\frac{3}{5}[/tex]

LCM is 35 because 7 * 5 =35

[tex]\frac{5}{7}=\frac{5\cdot \:5}{7\cdot \:5}=\frac{25}{35}[/tex]

[tex]\frac{3}{5}=\frac{3\cdot \:7}{5\cdot \:7}=\frac{21}{35}[/tex]

[tex]\frac{25}{35}+\frac{21}{35}=\frac{25+21}{35}[/tex]

[tex]=\frac{46}{35}[/tex]

change the improper fraction into mixed number

[tex]6+1\frac{11}{35}[/tex]

[tex]=7\frac{11}{35}[/tex]

There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?

Answers

Answer:

1000 times greater.

Step-by-step explanation:

10^9 / 10*6

= 10^(9-6)

= 10^3

= 1000.

Answer:

just took the test answer is C

Step-by-step explanation:

√64 rational or irrational

Answers

Answer:

√64 = rational

Step-by-step explanation:

√64 = 8

8 = 8/1 = rational

Answer: The number 64 is an irrational number.

Step-by-step explanation:

WILL GIVE BRAINLIEST The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles. (Click on the picture below) Part A: What is the area, in square feet, of the shaded region? Part B: What is the area, in square feet, of the nonshaded region?

Answers

Answer:  

part 1 : 41f[tex]t^{2}[/tex]

part 2: 87f[tex]t^{2}[/tex]

Step-by-step explanation:

part 1 : 8*2=16      1*10=10         10*3*1/2 = 15

16+10+15= 41f[tex]t^{2}[/tex]

part 2:      16*2= 32         2*8= 16            1*6=6         3*6=18    10*3*1/2 =15

32+16+6+18+15= 87f[tex]t^{2}[/tex]

Helppp asap I’m so confused

Answers

The answer to this question is A

Answer:

58

Step-by-step explanation:

If k = 6 and j = 2 all you have to do is plug in the numbers

So

5 x 6 x 2 - 2

and then you think of PEMDAS

so multiplication comes first  so

5 x 6 x2 = 60 and then

60 - 2 = 58

if fg=7x, GH=9, and fh=10x, what is fg​

Answers

Answer:

fg = 7x in the question only it is given

hey please help, thank you!!

Answers

Answer:

D

Step-by-step explanation:

So we have the equation:

[tex]A=\frac{1}{2}(12)(3+7)[/tex]

And we want to find out which of the answer choices is not equivalent.

Thus, let's go through each of the choices.

A)

We have:

[tex]\frac{12(3+7)}{2}[/tex]

This is correct.

Our original equation can be written as:

[tex]A=\frac{1}{2}(\frac{12(3+7)}{1})[/tex]

And if we multiply straight across:

[tex]A=\frac{12(3+7)}{2}[/tex]

We'll get choice A. So choice A is correct.

B)

We have:

[tex]6(3+7)[/tex]

This is also correct.

From our original equation:

[tex]A=\frac{1}{2}(12)\cdot(3+7)[/tex]

If we multiply the first term together:

[tex]A=6(3+7)[/tex]

We'll get choice B. So, choice B is correct.

C)

We have:

[tex]0.5(12)(10)[/tex]

This is correct as well.

If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:

[tex]A=\frac{1}{2}(12)(3+7)\\A=0.5(12)(10)[/tex]

So, C is also correct.

D)

We have:

[tex]\frac{12}{2}\times\frac{10}{2}[/tex]

Note that this is not correct.

This attempted to use the distributive property. However, the distribute property does not work for multiplication. For instance:

[tex]3(2+1)\text{ indeed equals } 3(2)+3(1)[/tex]

However:

[tex]3(2\times1)\text{ does not equal} 3(2)\times3(1)[/tex]

So, choice D is not equivalent.

So choice D is our answer :)

If we evaluate it, we will get 30, in contrast to the 60 of the others.


f(x)= -X+6 g(x)=4x-6

g(f(x))

Answers

Answer:

[tex]g(f(x)) = - 4x + 18[/tex]

Step-by-step explanation:

f(x) = - x + 6

g(x) = 4x - 6

In order to find g(f(x)) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

[tex]g(f(x)) = 4( - x + 6) - 6 \\ = - 4x + 24 - 6[/tex]

We have the final answer as

[tex]g(f(x)) = - 4x + 18[/tex]

Hope this helps you

In a different dimension, cows have x+3 legs, with 3 toes on each leg. Chickens have 2x-4 legs, with 7 toes on each leg. If your farm only has two cows and one chicken, what is the expression for how many animal toes there are in total (not including yours)? Give your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

y varies inversely with x, y=12 when x=7. Find y when x =10. Picture attached, 15 points and I'll give Brainliest! Due in two hours.

Answers

Answer:

y=8.4

Step-by-step explanation:

inverse proportion means y=k/x

k is the constant

y=12, x=7

k=xy ⇒7*12=84

y=84/x

y=84/10

y=8.4

As y varies inversely with x the value of y is 42/5 when x is 10.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, y varies inversely with x.

∴ y = k/x.

12 = k/7.

k = 84.

Now, x = 10.

∴ y = 84/10.

y = 42/5.

learn more about proportion here :

https://brainly.com/question/7096655

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What is the constant of proportionality? ​

Answers

Answer:

3.5

Step-by-step explanation:

The constant of proportionality is the slope of the line

slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{3.5}{1}[/tex] = 3.5

Answer:

3.5

Step-by-step explanation:

Given h(x) = 5 - 9x, find h(8).

Answers

Answer:

h(8)=-67

Step-by-step explanation:

We know that x=8 so we solve the solution on the right by replacing x with 8

5-9*8

5-72

-67

So h(8)=-67

Help me, please... Which two numbers on the number line have an absolute value of 2.75? Select the location of both numbers on the number line.

Answers

Answer:

2.75, and - 2.75

Step-by-step explanation:

Both have an absolute value of 2.75 which is how far away they are from 0.

Hope this helped!

Which two of the following are not characteristics of surveys?
4. Two or more treatments are compared in the study.
B. Data are gathered during the course of the study.
C. One or more treatment groups and a control group are included in
the study.
D. The results of the study are analyzed statistically.

Answers

Answer:

The following characteristics of experiments are not also characteristics of surveys:

- The first one is B. The study compares two or more treatments (possibly including "no treatment").

- The other one is D. The study involves one or more treatment groups and a control group.

Step-by-step explanation:

surveys are tested with one group

The two options are B) and C) because they are characteristics of science.

What are the characteristics of surveys?

The main characteristics of surveys are as follows:

1.measurable survey objectives.

2.sound research design.

3.effective survey question design.

4.sound sampling strategy, when needed.

5.effective survey response strategy.

6.meaningful data summary.

7.effective data display and reporting.

Given: In the option A and B talk about surveys but the other two options are characteristics of science.

Hence, The two options are B) and C) because they are characteristics of science.

Learn more about surveys here:

https://brainly.com/question/17373064

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Evaluate j/4 when j=12

Answers

Answer:

3

Step-by-step explanation:

[tex] \frac{j}{4} = \frac{12}{4} = 3[/tex]

4*3=12

3*4=12

12/4=3

12/3=4

Hope this helps ;) ❤❤❤

Answer:

We need to evaluate [tex]\frac{j}{4}[/tex] for j = 12.

First, we need to replace j by 12 on [tex]\frac{j}{4}[/tex], so we get [tex]\frac{12}{4}[/tex] and now, we only need to divide:

[tex]\frac{12}{4}=3[/tex]

So the result is 3

x+y=2 8x+3y=-19 substitution

Answers

Answer:

{x,y}={−5,−7}

Explain:

// Solve equation [2] for the variable  y [2]    3y = 7x + 14 [2]    y = 7x/3 + 14/3 // Plug this in for variable  y  in equation [1] [1]    8x - 3•(7x/3+14/3) = -19 [1]    x = -5 // Solve equation [1] for the variable  x [1]    x = - 5 // By now we know this much : x = -5 y = 7x/3+14/3 // Use the  x  value to solve for  y y = (7/3)(-5)+14/3 = -7 Solution : {x,y} = {-5,-7}

Hoped I helped

Answer:

Input:

f(x, y) = x^2 - y^2

Geometric figure:

hyperbolic paraboloid

3D plot:

3D plot

Contour plot:

Contour plot

Alternate form:

f(x, y) = (x - y) (x + y)

Alternate form assuming x and y are positive:

x^2 = f(x, y) + y^2

Properties as a function:

Domain

R^2

Range

R (all real numbers)

Parity

even

Partial derivatives:

d/dx(x^2 - y^2) = 2 x

d/dy(x^2 - y^2) = -2 y

Indefinite integral assuming all variables are real:

integral(x^2 - y^2) dx = x^3/3 - x y^2 + constant

Help me please it’s algebraic expression

Answers

Answer:

17. xy + z = 51

18 yz - x = 18

21. 5z + ( y - x ) = 20

22. 5x - ( y2 - 4x ) = -10

23 . x2 + y2 - 10z = 70

24. z3 + ( y2 - 4x ) = 1

25. y + xz / 2

26 .3y + x2 / z = 30

Step-by-step explanation:

17.(6 x 8)+3=

    48+3=51

18.(8 x 3)- 6 =

     24 - 6 = 18

21. 15 + ( 8 - 3 )

      15 + 5=

        20

22 .30 - (64 - 24)=

      30 - 40=

       -10

23. 36 + 64 - 30

      100 - 30

        70

24.  9 + (16 - 24 )=

       9 + -8 =

        1

25. 8 + 48 / 2

      56 / 2

       28

26. 24+ 36/3

      60/3=

       30

Jim works overtime to save $500 per month for a pickup truck. The savings account Jim uses earns him 5% interest, compounded monthly. In two years, Jim will have in savings. He will have earned in interest on his savings.

Answers

Answer:

$1615

Step-by-step explanation:

500(1+.05/1)^24

500(1+.05)^24

500*1.05^24

500*3.23

1615

Simplify the exponential expres
5.52

Answers

Answer:

6.5

Step-by-step explanation:

5.5x5.5= 30.25.        30.25 divide 30 and 25 by 5 then you get 6.5

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