Based on the pattern in the table, what is the value of a?

Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a

Negative 64
Negative 12
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 64 EndFraction

Answers

Answer 1

Answer:1/64

Step-by-step explanation: I got it right

Answer 2

Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.

What are Exponents?

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given is a pattern, which is the powers of 2.

The first term is 2⁻¹ = 1/2

The second term is 2⁻² = 1/ 2² = 1/4

The third term is 2⁻³ = 1 / 2³ = 1/8

The fourth term is 2⁻⁴ =  1 / 2⁴ = 1/16

The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32

The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64

So the value of a is 1/64.

Hence the value of a is 1/64.

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Related Questions

You move down 6 units and left 9 units. You end at (-5, -3). Where did you start?

Answers

(4, 3) i think lol goodluck

If the income of the consumer increases, the budget constraint line will shift:
a.
away from the origin, but its slope will remain the same
b.
away from the origin, and its slope will become steeper
c.
toward the origin, but its slope will remain the same
d.
toward the origin, and its slope will become steeper

Answers

Answer:

b

Step-by-step explanation:

this is for the 20 characters thing

Who can access your credit report?
a friends
b. employers
c. neighbors
d. teachers
Please select the best answer from the choices provided.
Ο Α
С В
ОС
D

Answers

This answer would be B

Answer:

B) employers

Step-by-step explanation:

EDGE 2021

the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes how much time do we have before it is 100% loaded .​

Answers

Answer:

You will have 40 mins before 100%

Step-by-step explanation:

The number of minutes taken to completely load is 60 minutes.

Given that, the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here,

Remaining virus to load =100-28

= 72

The rate of 12% every 10 minutes

Now, 72/12

= 6

So, 6×10 =60 minutes

Therefore, the number of minutes taken to completely load is 60 minutes.

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At the end of a snow storm, Riley saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Riley's lawn, in inches, can be modeled by the equation S = 13 – t, where t is the time, in hours, after the snow stopped falling. What is the x-intercept of the equation and what is its interpretation in the context of the problem?​

Answers

Answer:

The x-intercept of the function is 13 which represents the number of hours until all the snow has melted.

Step-by-step explanation:

Since there were 0 inches of snow on the lawn after 13 hours, the x-intercept of 13 represents the number of hours after the storm stopped when all of the snow had melted away.

Have a good day :)

The x-intercept of the function is 13 which represents the number of hours until all the snow has melted.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Since there were 0 inches of snow on the lawn after 13 hours, the x-intercept of 13 represents the number of hours after the storm stopped when all of the snow had melted away.

Hence, the x-intercept is 13.

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Hi! I just need somebody to explain how this is done.
I don’t understand the process of this well and I cant find many videos that explain it. thanks!

Answers

Answer:

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

Step-by-step explanation:

In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle

In the given figure

∵ ∠C is the right angle

ΔACB is a right triangle

m∠B = 57°

AC = 10.8

∵ AC is the opposite side of ∠B

∵ AB is opposite to the right angle

∴ AB is the hypotenuse

AB = x

→ We can use the function sine to find x

∵ sin∠B = [tex]\frac{opposite}{hypotenuse}[/tex]

∴ sin∠B = [tex]\frac{AC}{AB}[/tex]

→ Substitute the values of ∠B, AC, and AB in the rule of sine above

∴ sin(57°) = [tex]\frac{10.8}{x}[/tex]

→ By using cross multiplication

∵ x × sin(57°) = 10.8

→ Divide both sides by sin(57°)

x = [tex]\frac{10.8}{sin(57)}[/tex]

x = 12.87752356

→ Round your answer to the nearest tenth

x = 12.9

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

Helppppppp
I need to find the area for this

Answers

Answer:

126

Step-by-step explanation:

70+56

Triangle abc is isosceles. Measure of angle a=3x+40, Measure angle c=x+50. Measure of angle a = degrees​

Answers

Answer: the answer is 55°

Step-by-step explanation:

You equal the equations out and the number you get from doing that is the fill in for x and the you solve one of the equations replacing x with the number gotten

Just answer number 1
M<7=30 ,m<2 ?

Answers

Answer:

Step-by-step explanation:

1). ∠7 ≅ ∠ 2 (alternate exterior)

m∠7 = m∠2 = 30°

2). ∠4 and ∠1 are supplementary angles

m∠1 = 180° - 72° = 108°

Cleo buys 2/4 pounds of turkey. Tyler buys 1/2 pounds of turkey. Who buys more turkey? Pls explain.

Answers

Answer:

No one because They bought the same amount. 2/4 is equvalent to 1/2, meaning they both are half a pound. :)

Step-by-step explanation:

If this helps pls mark me brainliest

Have a great day :)

Can you use the properties of exponents you discovered to simplify 5^2 · 2^5 ?

Answers

5² × 2⁵ = 25 × 32 =. 800

Hope this helps

A bakery baked 16 pies in preparation for Thanksgiving. 3/4 of the pies were already sold. How many pies have been sold?

Answers

Answer:

12

Step-by-step explanation:

We have to find 3/4 th of 16

So it's 3/4 * 16 = 12

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

[tex](\frac{x1 + x2}{2}, \frac{y1+y2}{2}[/tex])

Step-by-step explanation:

PLEASE HELP ASAP I WILL GIVE BRAILY AND 25 POINTS... write an expression equivalent to 4x + 12 using the distributive property

Answers

Answer:4x + 12 = 2 ( 2x + 6)

 Step-by-step explanation:

PLEASE ANSWER THESE I'M NOT SURE HOW TO DO IT TYSMMMMM

Answers

Answer:

your answer is 234

Step-by-step explanation:

The total degree inside the triangle is 360.

Add 104 and 22 to gt 126, and subtract from 360 to get the angle value of x, which is 234 degrees.

What additional information could be used to prove that triangle XYZ is congruent to triangle Fe.g. using asa or aas check all that apply

Answers

i hope this was able to help!!

answer: Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS. we need only one angle and side.

Answer:

its the first one and the last one ..that's the answer.

John wants to make a triangular garden. Which of the following are possible dimensions?

Answers

Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out

how many diagonals does a nanogon have​

Answers

Answer:

nanogon have 27 diagnals

A nonagon has 27 diagonals

I WILL MARK BRAINIEST

Answers

Answer:

x=20

4=140

1=40

Step-by-step explanation:

7x=2×+100

5×=100

×=20

4=7(20)=140

1=180-140=40

Answer:

x=20

m<4=140

m<1=40

Step-by-step explanation:

to figure out angle 1 just subtract 140 from 180

What is the constant proportionality in the table below?

Answers

Answer:

1/2

Step-by-step explanation:

Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2

Please please help me get the anwser I just want the anwser I got a 33.3 on my last attempt and this is my last please :( I will literally give you 87 points I need help ASAP please I set it to 87 points please take Time and anwser correctly or I will report please :( I only have 11/6/2020

Answers

Answer: A

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Find the inverse of the function.

Answers

Answer:

A) [tex]f^{-1}(n)= (n+2)^3[/tex]

Step-by-step explanation:

[tex]f(n) = \sqrt[3]{n} -2[/tex]

[tex]y = \sqrt[3]{n} -2[/tex]

[tex]y = n^{1/3}-2[/tex]

[tex]n = y^{1/3} -2[/tex]

[tex]n + 2 = y^{1/3}[/tex]

[tex]y = (n + 2) ^3[/tex]

[tex]f^{-1}(n) = (n + 2)^3[/tex]

Hope this helps!

Answer:

Option A

Step-by-step explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both  both sides  to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) =     (n+2) to the 3rd power  (option A)

Gina wants to make
hamburgers for 12 people.
Her recipe serves 8 people
and calls for 4.5 pounds of
ground beef. How much
ground beef should
Gia purchase?
h

Answers

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

[tex]4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x[/tex]

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

ILL GIVE BRAINLIEST FOR BEST AWNSER!!!
A football player kicks a ball with a force of 50 N
How does the impulse above change if he doubles the amount of time that his foot is in contact with the ball?

Answers

Answer: AP= 30 kgm/s c) Calculate the final velocity of the object, if it was initially at rest. A 0.5kg baseball experiences a 10N force for a duration of 0.1s.

Step-by-step explanation:

Why are arithmetic sequences discrete data?

Answers

Answer:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Step-by-step explanation:

Answer:

A sequence is a discrete structure used to represent an ordered list.

Step-by-step explanation:

Discrete values are values between the terms if the sequences are not included in the sequence. If you collect all the terms of the sequence into a set, that set will always be discrete, because there's only countably many of them, and every interval is uncountable. So in that sense, yes, sequences are discrete. A sequence is a discrete structure used to represent an ordered list. A sequence is a function from a subset of the set of integers (usually either the set {0,1,2,. . .} or {1,2, 3,. . .}to a set S. We use the notation an to denote the image of the integer n. We call an a term of the sequence.

write the slope-intercept form of the equation of each line. (DONT do number 26 )

Answers

25) m: -4
b: -1

Equation: -4x-1

27) m: 4
b: 4

Equation: 4x+4

28) m: 5/2 (or in decimals: 2.5)
b: 0

Equation: 5/2x or (2.5x)

Hoped this helped.

Answer:

25) -4, -1

Equation: -4x-1

27) 4, 4

Equation: 4x+4

29) 5/2,0

Equation: 5/2x

Step-by-step explanation:

Y=mx+b

One pound of beef costs $4.25. One pound of turkey cost $2.85. How much more does 1.25 pounds of the beef cost than 1.25 pounds of turkey?

Answers

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

5.31

Presently increase 1.25 by 2.85

3.56

Take away 3.56 from 5.31

1.75

Answer:

Beef= 5.75

Turkey=4.35

Beef cost is $1.40 more than turkey.

Step-by-step explanation:

Find the product
(3x+4y)(x+y)

Answers

Answer:

Step-by-step explanation:

(3x+4y)(x+y)

Solution=3x^2+4xy+3xy+4y^2

=3x^2+7xy+4y^2

3x^2 + 7xy + 4y^2 I believe

What transformation happened to the parent linear function when the m is changed to 3? Parent equation: y=x. New equation y=3x​

Answers

Answer:

Step-by-step explanation:

the funtion was dilated by a factor of 3 since insted or x we have 3x

What is the scale factor for the dilation of triangle ABC to produce triangle A’B’C’?
0.25, 0.5, 2, 3

What is the scale factor for the dilation of triangle ABC to produce triangle A’’B’’C’’?
0.25, 0.5, 2, 3

Answers

Answer:

.5 for the first blank

2 for the second blank

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