Explicit formula for an, the nth term of the sequence 48,12,3,...

Answers

Answer 1

Answer:

a(n) = 48*(1/4)^(n - 1)

Step-by-step explanation:

Here the first term, a(1), is 48 and the common ratio is r = 1/4.

Thus, the specific formula for the information given is

a(n) = 48*(1/4)^(n - 1)


Related Questions

The parent function of a quadratic equation is vertically stretched by a factor of 2, then translated 4 units left and one unit down

Answers

Answer:

[tex]f"'(x) = 2(x-4)^2 - 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex] --- the quadratic function

Vertically stretched by 2

Translation: [tex]4\ units[/tex] left and [tex]1\ unit[/tex] down

Required

Determine the new function

[tex]f(x) = x^2[/tex]

The rule for vertical stretch is:

[tex](x,y) \to (x,ay)[/tex]

In this case:

[tex]a = 2[/tex]

So, we have:

[tex]f(x) = x^2[/tex]

[tex]f'(x) = a * f(x)[/tex]

[tex]f'(x) = a * x^2[/tex]

Substitute: [tex]a = 2[/tex]

[tex]f'(x) = 2 * x^2[/tex]

[tex]f'(x) =2x^2[/tex]

Translation: 4 units left

The rule is:

[tex](x,y) \to (x - c,y)[/tex]

In this case: [tex]c =4[/tex]

So, we have:

[tex]f"(x) = 2(x - 4)^2[/tex]

Translation: 1 unit down

The rule is:

[tex](x,y) \to (x,y-d)[/tex]

In this case, [tex]d=1[/tex]

So, we have:

[tex]f"'(x) = f"(x) - 1[/tex]

[tex]f"'(x) = 2(x-4)^2 - 1[/tex]

Someone plz help!! Plz read the question

Answers

Answer:

preferred

ability

extraordinary

parading

playing

squeaky clean

occasion

immediately


If 5x-3=3x+5, what is the value of 2X-8? 5

Answers

Answer:

5x-3=3x+5

5x-3x=5+3

2x=8

x=8/2

x=4

Therefore,

Value of 2x-8

Substitute the value of x

2(4)-8

8-8=0

If you are helped with my answer pls tag me brianliest

I really want it

Plss

THANK you.....

what is 4 3/4 + 6 4/5​

Answers

Answer:

[tex]11 \frac{11}{20}[/tex]

Step-by-step explanation:

Answer:

11.55

Step-by-step explanation:

A small car has a tire with a 13-inch diameter. A truck has a tire with a 29-inch diameter. How much farther than the car does the truck have to drive for its tire to complete one revolution?

Answers

Answer:

50.27in

Step-by-step explanation:

Given data

Diameter of small tire= 13in

Radius= 13/2= 6.5in

Circumference= 2πr

C= 2*3.142*6.5

C= 40.85 in

Diameter of Big tire= 29in

Radius= 29/2= 14.5in

Circumference= 2πr

C= 2*3.142*14.5

C= 91.118in

Hence the difference in distance between the two tires after on revolution is

=91.118-40.85

=50.27in

find the equation to the line below acellus y= HELPPP

Answers

Answer:

(5,3) and (0,-1)

Gradient,m =3-(-1)/5-0

m=4/5

y=mx+C

y-3=4/5 (x-5)

y=4x/5-4+3

y=4x/5 -1

Cynthia wants to buy a round magnetic photo frame for her locker. The radius of the frame is 9cm. What is the circumference of the frame in terms of π (pi) .

Answers

Answer:

18cm

Step-by-step explanation:

it should be 18 cm, pretty much 9x2 haha

Practice Triangle Ratios (Sides) Find the value of c. Round to the nearest tenth!

Answers

Answer:

30.67

Step-by-step explanation:

Given the following

Opposite side = x

Adjacent = 17

Angle = 61degrees

Using the SOH  CAH TOA identity

tan theta = opp/adj

tan 61 = x/17

x = 17tan61

x = 17(1.8040)

x = 30.67

Hence the value of x is 30.67

When given the picture using what you know find the answer. What is m

Answers

Answer:

40 degrees

Step-by-step explanation:

Answer:

Angle E = 25 deg because of reflective

Angle C = 115 degree because 180 - 65

Since triangle = 180 deg

Angle D = 180 - 115  - 25

= 40 deg

Step-by-step explanation:

Find the height of the pyramid.
Volume

Answers

Answer:

5

Step-by-step explanation:

like my answer please...

consider the function below
f(x) = x^2 - 6x + 5

plot the x-intercept(s), y-intercept,vertex, and axis of symmetry for the function. please i need a answer ​

Answers

X-intercept (5,0),(1,0)

Y-intercept (0,5)

Vertex (3,-4)

Axis of Symmetry x=3

x2-3x-2=0 by Formula method​

Answers

Answer:

Answer with steps........

2. Is she right or wrong? Explain. If she is wrong, tell how much carpet she needs. (
Michele is buying carpet for a room with the dimensions shown. 10 ft 8 ft 12 ft 4 ft 15 ft Michele calculates that the area she will cover with carpet is 180 square feet.​

Answers

Answer:

She is wrong. She needs 140 square feet.

Explanation:

(8×10)+(4×15) = 140

Approximately 3 x 10° people live in the USA.
In the world of 100 people, how many would live in the USA?

Answers

Answer:

Step-by-step explanation:

Divide the US population by the world population:

328,200,000/7,674,000,000 = 0.0428

Multiply 0.0428 with 100:

0.0428 x 100 = 4.28

Approximately 4 out of 100 people in the world would live in the USA.

Does anyone know what is the measure for these need help on this

Answers

4. 66
5. 48
6. 60
7. 108
8. 60

Baking Brownies
A brownie recipe needs one cup of sugar for every 1⁄2 cup of flour to make a batch of cookies. To make multiple batches, we represent the relationship between flour and sugar with the function f = 1⁄2 s where f is the number of cups of flour and s the number of cups of sugar. What graph represents this relationship?

Answers

Answer:

A

Step-by-step explanation:

A because it is the only one the recipe calls for 1 cup of sugar and 1/2 cup of flour, the point is in the middle but also on one.

What’s the answer?
Needed now

Answers

I enliven to 50 I believe 340


Find the value of x.

Answers

x=5
x=20
x=142
:))))))))
The answer is 0.5!

Explanation

7 students drew were 6, 4, 5, 7, and 8. What is the mean height of the triangles?

Answers

489293954922994499349393

Answer:6

Step-by-step explanation: for mean you add up the heights and divide it by the amount of numbers there are

Describe the relationship between complex and real numbers. Include a
comparison between algebraic and complex arithmetic operations (addition,
subtraction, multiplication, and division).

Answers

Answer:

Complex numbers often use the letter i (that is, they often have imaginary elements) while real numbers don't have any imaginary elements. Below are some examples:

Step-by-step explanation:

1+2i is an example of a complex number.

3a - 4b is an example of a real number.

if your not good with percentages, i suggest you should go...
25% of ______ is 15
70% of 30 is ______
What % is 15 of 50?
15% of ______ is 6
40% of 30 is _____
LAST ONE!!!
What % is 40 of 50?
BONUS! (I'm good at these so its oppional)
3 / 1 1/6 =

Answers

25% of 60is 15
70% of 30 is 21
What % Is 15 of 50= 7.5
15% of 50 is 7.5
15% of 40 is 6
40% of 30 is 12
40% of 50 is 20

can you help me with this​

Answers

Answer:

p(x - 4) = x³ - 12x² + 48x - 69

Step-by-step explanation:

To evaluate p(x - 4), substitute a = x - 4 into p(a), that is

p(x - 4) = (x - 4)³ - 5

            = (x - 4)(x - 4)(x - 4) - 5 ← expand 2nd/ 3rd factors using FOIL

            = (x - 4)(x² - 8x + 16) - 5 ← distribute parenthesis

            = x³ - 8x² + 16x - 4x² + 32x - 64 - 5 ← collect like terms

           = x³ - 12x² + 48x - 69

help help help help

Answers

Answer:

15π cubic units

Step-by-step explanation:

the formula for the volume of a cone is:

V = (base area x height) / 3

In this case we have

(5π x 9)/3 = 15π cubic units

Answer:

235.5 Cubic Units

Step-by-step explanation:

V=1/3B*H

=1/3(π5^2)9

=1/3(3.14*25)9

=3(3.14*25)

=75*3.14=235.5 Cubic Units

HELP URGENT PROBLEM IS IN THE PICTURE || SHOW YOUR WORK PLS ILL ADWQARD BRAINLEST

Answers

Answer:

19.550

Step-by-step explanation:

Sorry if I am wrong.....

WILL GIVE BRAINLIEST!!!

Michelle weighs 90 pounds, which is 120% of what she weighed two years ago. How much did she weigh two years ago?

A) 108 pounds
B) 75 pounds
C) 175 pounds
D) 88 pounds

Answers

B. Michelle weighed 75 pounds two years ago

A XYZ is an equilateral triangle.
X
2
3
Z
Y
What is the measure of Z 2?
HURRY AND NO LINKS

Answers

Answer:

The value of the angle is 60 degrees

Step-by-step explanation:

Here, we want to find the value of the angle marked 2

From the question, we can see that we have three marked interior angles

These are the angles 1, 2 and 3

Mathematically, the interior angles of an equilateral triangle are equal

This means that each of the interior angle of an equilateral triangle measures 60 degrees

Hence, this means that the value of the angle marked 2 is 60 degrees

What is the Y-intercept of the line shown above

Answers

Cant see the graph dude.

Estelle tried to evaluate the expression 27 - (8 - 3) x 4. Here is her work:
27 - (8 - 3) x 4
= 27 - 5 x4
Step 1
= 22 x 4
Step 2
= 88
Step 3
Is Estelle's work correct?
No, Estelle made a mistake in Step 1. Estelle should have multiplied instead of
subtracting. The order of operations says to multiply before you subtract.
No, Estelle made a mistake in Step 2. Estelle should have multiplied before
she subtracted. The order of operations says to multiply before you subtract.
Yes, Estelle's work is correct.

Answers

Answer:

No, Estelle made a mistake in step 2

Step-by-step explanation:

I know the answer is 825 but what is the constant of proportionality??

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

The circumference of a circle is 20.724 yards. What is the circle's diameter?

Answers

Answer:

approximately 6.6 yards :)  

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

take pi as 3.14

formula for circumfurence is 2*pi*r

so 2r=20.724/pi

2r=6.6

since diameter is 2 radius, the diameter is 6.6

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