Answers
[tex]\sf 2^{-6}[/tex]
these two options apply
[tex]\rightarrow \sf \dfrac{1}{2^6}[/tex]
[tex]\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}[/tex]
in decimals : 0.015625
Answer:
Option C and D
Step-by-step explanation:
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Example:
If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.
This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.
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First, take the exponent's reciprocal as said above.
⇒ [tex]2^{-6}[/tex]
⇒ [tex]\frac{1}{2^{-6} }[/tex]
Now, change the exponent's sign.
⇒ [tex]\frac{1}{2^{-6} }[/tex]
⇒ [tex]\frac{1}{2^{6} }[/tex]
Now, simplify the term.
⇒ [tex]\frac{1}{2^{6} }[/tex]
⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }[/tex]
⇒ [tex]\frac{1}{8 \times 8}[/tex]
⇒ [tex]\frac{1}{64}[/tex]
Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.
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A)------------------------------------------------------------------------------------------------------
Keep in mind that the exponent is the number of times the base needs to multiply itself.
[tex]-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]
NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.
[tex]-2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]
⇒ [tex]2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]
⇒ [tex]64[/tex]
[tex]-2^{6} = 64 \neq \frac{1}{64}[/tex]
B)------------------------------------------------------------------------------------------------------
Since -64 is already a simplified term, we can compare this with the simplified result.
[tex]-64 \neq \frac{1}{64}[/tex]
C)------------------------------------------------------------------------------------------------------
[tex]\frac{1}{2^{6}}[/tex]
⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }[/tex]
⇒ [tex]\frac{1}{8 \times 8 }[/tex]
⇒ [tex]\frac{1}{64}[/tex]
[tex]\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}[/tex]
D)------------------------------------------------------------------------------------------------------
[tex]2^{-2} \times 2^{4} \times 2^{-8}[/tex]
⇒ [tex]\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }[/tex]
⇒ [tex]\frac{1}{4} \times 16 \times \frac{1}{256}[/tex]
⇒ [tex]\frac{1}{4} \times 1 \times \frac{1}{16}[/tex] [16² = 256]
⇒ [tex]\frac{1}{4} \times \frac{1}{16}[/tex]
⇒ [tex]\frac{1}{64}[/tex]
[tex]2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}[/tex]
E)------------------------------------------------------------------------------------------------------
[tex]2^{3} \times 2^{-2}[/tex]
⇒ [tex]2^{3 - 2}[/tex]
⇒ [tex]2^{1} = 2[/tex]
[tex]2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}[/tex]
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Related Questions
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answers
Answer:
Step-by-step explanation:
This is a quadrilateral.
Sum of all angles of a quadrilateral = 360
x + 100 + 60 + 95 = 360
x + 255 = 360
x = 360 - 255
x = 105°
Answer:
Angle X= 105 Degrees
Step-by-step explanation:
1. Create Equation
100+60+95+x=360
2. Solve
100+60+95+x=360
160+95+x=360
255+x=360
255-255+x=360-255
x=105
3. Check
100+60+95+105=360
160+95+105=360
255+105=360
360=360
Correct!
4. Answer
x=105
What's the area of this figure?
Answers
Answer:
58.5
Step-by-step explanation:
the area for a square is l x l so 9
the area for a rectangle is l x w so 33
the area for a rectangle is l x w /2 so 33 /2 = 16,5
so after adding them all up you get 58.5
Explain why the amount of money in the account at the end of the first year is given by the formula with n as the exponent: P = P∨0 (1 + r/n)^n
Answers
Answer:
This is the formula you use for someone investing in money. The formula is actually supposed to be: A=P(1+).
A is the total amount, P is the principal amount (the initial; original), r is percent (%) rate in decimal form, n is frequency, and t is the amount of years.
Step-by-step explanation:
Amir is expecting to receive at least $50 from his grandparents for his birthday. He plans on using all of the money to buy new clothes for summer. He would like a new pair of sandals that cost $26.50 and new shirts that cost $8 a piece. Write an inequality to represent the number of new shirts he can buy in terms of the sandals and the amount of money he will receive.
Answers
The inequality that models the situation is given by:
[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]
How does Amir plans to spend his $50?He plans to spend it as follows:
With a new pair of sandals, costing $26.50.With n new shirts, each costing $8.Hence, his total spending is given by:
T = 26.50 + 8n.
He can spend at most $50, hence:
[tex]T \leq 50[/tex].
[tex]26.50 + 8n \leq 50[/tex]
[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]
More can be learned about inequalities at https://brainly.com/question/25235995
Consider the equation 21 = m + 14.1. Which step will help to solve this equation? = a) Add 14 14 on both sides of the equation. . b) Subtract 14 tão on both sides of the equation. С Multiply both sides of the equation by 14 141 . o Divide both sides of the equation by 14
Answers
Answer:
B is the right answer
Step-by-step explanation:
Subtract 14 from each side to get the value of m
21 - 14 = 7 = m
m = 7
Please help me find the area of the shape
Answers
Answer: the area of the octagon is 52.8 inches.
Step-by-step explanation:
1. find the equation to find the area of the given triangle:
(1/2 * base * height)
2. plug in give numbers into equation: (1/2 * 3.3 * 4) = 6.6
3. since the base of the triangle fits into one of the sides of the octagon, we can assume the triangle can be fit perfectly for each of the sides, completing the octagon. for this, multiply the area of the triangle by eight (amount of sides in an octagon). 6.6 * 8 = 52.8
hope this helped! ♡ -moni
A={2,4,6,…,18,20} then n(A)=
Answers
Answer:
n(A) = 10
Step-by-step explanation:
The number of elements in the set of even numbers from 2 to 20 is 10.
n(A) = 10
_____
Additional comment
Dividing the set elements by 2 maps them to the Natural numbers 1 .. 10. This makes them easy to count.
Which method do you prefer when comparing numbers written in scientific notation? Explain why you prefer this method using examples. PLS HURRY
Answers
Answer:
If two numbers have the same exponent for 10, then compare the decimal numbers to determine the greater number. Sometimes you may have to compare two numbers, but only one of them is in scientific notation. In that case, convert the number that is not in scientific notation into scientific notation first. Then, compare the two numbers. Example 1 : Compare 5.62 x 10 6 and 7.39 x 10 5.
Step-by-step explanation:
The general form in scientific notation is
z.z ×10^zwhere z is integer
So while comaparing
We usually compare z.z rounded to similar significant numbers .
In rest case
we use power of 10 ,the number which has higher that's bigger.Example
1.27×10⁴1.24×10⁴First one is bigger
Please help I will give brainliest
Answers
Answer:
D
Step-by-step explanation:
IM RLY SORRY IF THIS IS WRONG IM DOING THIS FORM MEMORY
so I'm pretty sure u the arch equals twice the angle
so pi/2*2 = pi so D
hope it helppsss
trying not to dieT-T
Algebra 2 work, I need help !
(picture below)
Answers
HEY if you remove it you will get a curse
40 POINTS+BRAINILYIEST
What is the volume of the solid figure?
The solid shape is made up of two rectangular prisms. The first rectangular prism has a height of 10 inches, length of 5 inches, width of 5 inches and with connecting to the second rectangular prism, has a smaller height of 5 inches. The second rectangular prism has a length of 15 inches, height of 5 inches, width of 5 inches. The total length of the solid is 20 inches.
Answers
Answer:
A solid figure has three dimensions while a plane figure has only two dimensions. The space enclosed by a solid figure is called its volume. The volume of a solid figure is measured in cubic units such as cubic centimetres (cm3) and cubic metres (m3).
Step-by-step explanation:
Hope this helps....
Answer:
i think we're in the same class lol, but i just took the quick check and the answer was 625in, which would be A
Step-by-step explanation:
If a family of three splits a 33.66 bill evenly how much will each family member owe
Answers
Answer:
$11.22
Step-by-step explanation:
Divide 33 by 3 and also divide .66 by 3. You get 11 and .22, add both of those together and you get $11.22
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answers
Answer:
a. y = 7.5x + 1
b. y intercept is 1, which means the puppy weighed 1 pound at birth or at 0 months old.
c. slope is 7.5 which means puppy gained 7.5 pounds a month for the first 6 months.
Step-by-step explanation:
To find slope: use rise/run formula (y2 - y1 / x2 - x1) which is,
(23.5 - 16) / (3 - 2) = 7.5
To find y intercept: Plug in y, x and b in the slope intercept formula (y=mx+b). choose any one of the pairs from the table. i chose 2 and 16. plug it in and the formula would now look like 16 = 7.5(2) + b .
solve for b
16 = 15 + b (multiply 7.5 and 2)
1 = b (subtract 15 from 16)
y intercept is 1
Help me pwes I need it.
Answers
Answer:
1/10
when you do the LCM you get 70
divide each fraction by 70 and you will get the least to be a tenth
Determine the measure of the interior angle at vertex C.
Answers
Answer:
B. 120 Degrees
Step-by-step explanation:
We know that the total interior angle of any five sided polygon is 540 Degrees.
The total interior angle of this polygon is
4x + 4x + 4x + 3x + 3x = 18x 540 = 18x
Divide by the lowest ratio 540/18 = 30
30 = x
C = 4x
4X30 = 120
C = 120 Degrees
The percentage price of an article is 30000 and its price after the discount is 27600. What will the percentage of the discount be ?
Answers
the answer for this would be 20 percent
Type the correct answer in each box, Spell all the words correctly, and use numerals instead of words for numbers. If necessary, use / for the
fraction bar(s).
y +10
А
18
6
B
X
+
- 10
-8
-6
-4
-2
2
4
6
8
10
-2
B
-4
C
-8
-10
units)
and a
across the
-axis
We can show that ABC is congruent to AABC by a translation of
Answers
Step-by-step explanation:
We can Show that ∆ABC is congruent to∆A'B'C' by a translation of 1 units(s) to the left and a reflection across the X -axis.
We can show that ΔABC is congruent to ΔA'B'C' by a translation of 2 units to the left and reflection across the x-axis.
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given that the two triangles ABC and A'B'C'.
The points are A(8, 8), B(10, 4) and C(2, 6).
And A'(6, -8), B'(8, -4), and C'(0, -6).
The translation rule 2 units to the left and reflection across the x-axis.
We can show that ΔABC is congruent to ΔA'B'C' by a translation of 2 units to the left and reflection across the x-axis.
Therefore, the required translation rule is given above.
To learn more about the reflection;
https://brainly.com/question/11232423
#SPJ7
The accompanying diagram show a cross-section of a rectangular pyramid. The cross sectional area is 36in and is 3
inches from the vertex of the pyramid. If the height of the pyramid is Sinches, what is the area of the rectangular base?
Answers
The rectangular base area is the space the rectangular base occupies
The area of the rectangular base is 60 square inches
How to determine the area of the rectangular base?The diagram is not given. So, I will apply provide a general solution.
Using the similar shapes concept, the area of the rectangular base can be represented as:
Ratio = Height : Area
This gives
3 : 36 = 5 : Area
Express as fraction
36/3 = Area/5
Evaluate the quotient
12 = Area/5
Multiply both sides by 5
Area = 60
Hence, the area of the rectangular base is 60 square inches
Read more about areas at:
https://brainly.com/question/24487155
A car is traveling at a rate of 120 kilometers per hour. What is the cars rate in miles per hour? How many miles will the car travel in 2 hours? In your computations assume that 1 mile is equal to 1.6 kilometers
Answers
Answer:
150 miles
Step-by-step explanation:
speed = 120 km per hour
1 mile = 1.6 km
speed = 120 km per hr
divide 120 with 1.6 to get in miles=120/1.6
= 75 miles per hour
speed = 75 miles per hour
So, in 1 hr, it can travel 75 miles
the distance traveled by car in 2 hours = 75 * 2 = 150
Result : Speed = 75 miles per hour , distance = 150 miles
Each 14 inch on a map represents an actual length of 18 of a mile.
What length on the map represents 1 mile?
132 inch
38 inches
2 inches
4 inches
Answers
Answer:
38 inch
Step-by-step explanation:
a bicycle has a listed price of 749.95 before tax. if the sales tax rate is 9.5%, find the total cost of the bicye with sales tax included
Answers
Answer:
821.20
Step-by-step explanation:
The tax is added to the listed price in order to find the total cost. The tax is computed by multiplying the listed price by the tax rate.
tax = 749.95 × 0.095 = 71.25 . . . . . (rounded up from 74.24525)
total cost = listed price + tax = 749.95 +71.25 = 821.20
The total cost of the bicycle with sales tax included is 821.20.
Answer:
$821.20 (nearest cent)
Step-by-step explanation:
If a sales tax of 9.5% is applied,
the final cost of the bicycle = 100% + 9.5% = 109.5% of its listed price
Convert 109.5% into a decimal:
109.5% = 109.5/100 = 1.095
So 109.5% of $749.95 = 1.095 × 749.95
= $821.20 (nearest cent)
mr bernstein owns 14 paintings, but has only enough wall space in his home to display three of them at any one time. How many ways can Mr Bernstein display three paintings in his home
Answers
Answer:
2,184
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
What would happen if you fall from your bed ?
Answers
Answer:
Depends on person to person.
Some may cry ( if it is a child or kid )
Some may get shout.
Some may come away from sleep, that is their sleep rhythm may get disturbed.
Some won't react, that is they continue to sleep even after they fall from the bed.
Step-by-step explanation:
In this case, I will continue to sleep, because on the floor another bed will be there.
Answer:
You COULD DIEEEE ._.
Step-by-step explanation:
Which choice correctly compares the two numbers? A) 2.41 > 2.37 B) 2.75 < 2.24 9 2.75 > 3.24 D) 3.48 < 2.47
Answers
Answer:
A 2.41 > 2.37
Step-by-step explanation:
2.41 is greater than 2.37
Answer:
A
Step-by-step explanation:
others arent true
Translate the sentence into an equation.
Eight times the sum of a number and 4 is 3.
Use the variable x for the unknown number.
Answers
Answer:
8(x+4)=3
Step-by-step explanation:
the answer is this!
8x+32=3
x=(3-32)/8
x=-29/8
Solve the inequality for x and identify the graph of its solution.
3(x + 1) < 6
Choose the answer that gives both the correct solution and the correct graph.
Answers
Answer:
the answer is B
hope the answer may help you
Can someone please help me
Answers
Answer:
BCDE
Step-by-step explanation:
50/100 in tenth fraction and decimal form
Answers
Answer:
5/10 and .5
Step-by-step explanation:
50/100 is 1/2 so 1/2 is equal to 5/10
5/10 is also 1/2 and 1/2 as a decimal is .5 or 0.5
hope it helps !
I WILL GIVE BRAINLIETS IF THESE ARE ALL RIGHT
This month the company reported an increase in profit of 25%. If the company made $45,000 last month, how much did they make this month?
A. $5,400
B. $5,625
C. $54,000
D. $56,250
Answers
Answer:
56,250
Step-by-step explanation:
First e turn the persentage into a decimal so we can multiply the 45,000 by it
45,000 x 0.25 = 11,250
Now we ad the total from last month to the amount we got in the last step to figure out how much the company earned this month
11,250 + 45,000 = 56,250
The company earned 56,250 this month :)
Hope this helped!
Have a good day!
Please rate and mark brainliest!!
It takes 54 pounds of seed to completely plant a 7-acre field
How many acres can be planted per pound of seed?
Answers
Answer:
The answer would be 7.7
Step-by-step explanation:
Because 54/7= 7.7
you get 7.7 by dividing which is the unit rate