Answers
Answer:
[tex](4^{-2})^5=\dfrac{1}{4^{10}}[/tex]
Step-by-step explanation:
The given expression is : [tex](4^{-2})^5[/tex]
We need to simplify the above expression.
We know that, [tex]x^{-a}=\dfrac{1}{x^a}[/tex]
or
[tex](4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}[/tex]
So, the simplified form of the given expression is [tex]\dfrac{1}{4^{10}}[/tex]. Hence, the correct option is (A).
Answer:
The answer is a 1/4^ 10.
Step-by-step explanation:
Related Questions
−8 (1 + x) + 7x PLEASE HELP
Answers
Answer:
-8-x or -x-8 or x=-8
Step-by-step explanation:
Distribute the -8 to the (1+x)
-8-8x+7x
then add the -8x+7x
-8-x or -x-8
and if you want to solve for x
x=-8
which expressions are equal ?
Answers
Answer:
Step-by-step explanation:
Options B and D are correct as they are equal to 1728
How many 2/7 s are in 3?
Answers
Answer: 11 is the answer.
there are 11 2/7's in 3 with a remainder of 1/7, 11 1/7.
Step-by-step explanation:
Answer:
10.5 or 21/2
Step-by-step explanation:
The question is asking how many 2/7 are in 3. So let make 3 a equivalent fraction that has 7 as it denomanater. 7/7 is 1, 14/7 is 2, so 21/7 is 3. Now let divide 21/7 by 2/7. flip 2/7 around to 7/2 then multiply by 21/7 which equals
[tex]\frac{147}{14}[/tex] which equals 10.5 or 21/2.
make
x
the subject of the formula
p
+
x
=
t
Answers
Answer:
x = t - p
Step-by-step explanation:
p + x = t
subtract p from both sides.
x = t - p
What is 17,242 rounded to the nearest 10,000
Answers
17,242 rounded to the nearest 10,000 is 20,000.
The given number is 17,242.
We need to round the given number to the nearest 10,000.
How to round the given number to the nearest 10,000?To round a number to the nearest 10,000, check the thousands of digits to decide whether to round up or round down. If the thousands are 5000 or more, round up. If they are 4999 or less, round down. In the given number the thousands are greater than 5000.
So, 17,242 rounded to the nearest 10,000 is 20,000.
Therefore, 17,242 rounded to the nearest 10,000 is 20,000.
To learn more about rounding to the nearest 10,000 visit:
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Please Answer!
Which expression is equivalent to the given expression?
4(a−3)=
−8a
4a−12
4a−3
−4(a+3)
Answers
because 4(a-3) what’s in () can’t be done so you go to the next step in pemdas and multiply and then you write it out and your done
Answer: The answer is 4a−12
Use I'Hopital's Rule more than once to rewrite the limit in its final form as lim x --> 0
lim x --> 0 e^x -sinx - 1/ x^4 + 7x^3 + 8x^2
Answers
To compute the limit
[tex]\displaystyle\lim_{x\to0}\frac{e^x-\sin x-1}{x^4+7x^3+8x^2}[/tex]
notice that when x = 0, both the numerator and denominator converge to 0. Apply l'Hopital's rule once gives
[tex]\displaystyle\lim_{x\to0}\frac{e^x-\cos x}{4x^3+21x^2+16x}[/tex]
but again, this returns the indeterminate form 0/0. Applying again gives
[tex]\displaystyle\lim_{x\to0}\frac{e^x+\sin x}{12x^2+42x+16}[/tex]
so that the numerator converges to e⁰ + sin(0) = 1, and the denominator converges to 12•0² + 42•0 + 16 = 16.
So the limit is 1/16.
which expression represents purely real numbers and which expression represents non-real complex number?
Answers
Incomplete question. However, I provided some explanation about non-real complex numbers.
Explanation:
In Mathematics, the term complex numbers (non-real complex numbers) in simple terms refers to numbers that containing an imaginary addition to it.
For example, the numbers 3i, 3 + 5i, 3i/4 are non-real numbers because of the addition of an imaginary part which is denoted by 'i'.
While real numbers, on the other hand, are numbers that do not include an imaginary part; they stand on their own, such as whole numbers 0, 1, 2, 3, etc, rational numbers like 3/4, etc.
what is true of the data in the dot plot? Check all that apply.
Number of Minutes Shelly Spent Waiting for the Bus Each Morning
A dot plot going from 10 to 15. 10 has 2 dots, 11 has 4 dots, 12 has 0 dots, 13 has 3 dots, 14 has 6 dots, 15 has 1 dot.
The center is 13.
The center is 14.
The peak is at 14.
It has two clusters.
It is skewed left.
The spread is from 13 to 15.
The person waited for the bus 16 times.
Answers
Answer:
True answers
The center is 13
The peak is at 14
It has two clusters
It is skewed left
The person waited for the bus 16 times
Step-by-step explanation:
Edge2021
Answer:
A, C, d, e, g
Step-by-step explanation:
Between which two values would 50% of the data lie? Select all that apply. 15 and 40 15 and 45 40 and 50 45 and 50 45 and 60
Answers
Answer:
The answer is:
(2). 15 and 45
(3). 40 and 50
(5). 45 and 60
Step-by-step explanation:
Hope this helps! Also can i have brainliest?
Keke had 1,0000,0000,0000,0000,00000,000, points and javonni had 8,0000”00000,00000,00000,000 and Dan need eight zillion More how much does he has before he given more?
Answers
Answer:
Step-by-step explanation:
What tropism does this experiment represent?
The straw scrunched up and expanding represents is a representation of
Correct answer:
turgor pressure
.
Answers
Need help on this? Please help
Answers
parallel: g(x) = -5/3x + 1
perpendicular: h(x) = 3/5x - 5
neither: j(x) = 2x + 3
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
4%
?
The sales tax is $
The total cost is $
Answers
Answer:
100 + 4 = 104%
40/100 X 104 = 41.6
total cost: $41.60
sales tax: $1.60
Answer:
Tax: $1.6
Total cost: $41.6
Step-by-step explanation:
40*0.04 = 1.6, 40 + 1.6 = 41.6
write the equivalent fraction by division 30 by 42
Answers
Answer:
5/7
Step-by-step explanation:
5/7 is the simplified fraction for 30/42 by using the GCD or HCF method
3.) Solve:
5x + 3- 3x = 2(x + 3) - 5
Answers
Answer:
0 = -2
Step-by-step explanation:
Answer:
no answer.
Step-by-step explanation:
5x + 3 - 3x = 2(x + 3) - 5 Simplify the left.
2x + 3 = 2(x + 3) - 5 Remove the brackets
2x + 3 = 2x + 6 - 5 Simply the right
2x + 3 = 2x + 1
It doesn't matter what you do, this is going to give you an impossible answer. The 2x's will cancel out and you will get 3 = 1 which is impossible.
What is the slope of the line
Answers
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
An ant travels at 45 cm every 3 minutes how far does the ant travel in 1 minute?
Answers
Answer:
15 cm every 1 minute
Step-by-step explanation:
Simply divide 45 by 3
15 POINTS! Please solve: 3 - 2x = 13 + 3x
Answers
Answer:
x= -2
Step-by-step explanation:
hope this helped <3
-5x = 10 divide by -5
x= -2
-324/18
Plz show all the steps of how you got the answer.
Answers
Answer:
-18
Step-by-step explanation:
Step 1 - divide the numerator and denominator by 18
-324÷18 / 18÷18
Step 2 - divide the numbers
-18 / 18÷18
-18/1
any expression divided by 1 remains the same
-18
solve for x round your answer to the nearest tenth
Answers
use the pythagorean theorem to find the side adjacent to x then use it to solve for x
May someone tell me if I’m correct cause I think I’m right but I need to double check with someone thanks
Answers
Answer: Proportional
Step-by-step explanation: Any table that starts with (0,0), it means it’s proportional!
if 3(x-1) -5(x-4)=8 find the value of x-5 whole 1/2
Answers
Step-by-step explanation:
3(x-1) -5(x-4) = 8
3x-3 -5x+20 = 8
3x -5x -3 +20 = 8
-2x + 17 = 8
17 -8 = 2x
9 = 2x
2x = 9
x = 9/2
3(x-1)-5(x-4)=8
We move all terms to the left:
3(x-1)-5(x-4)-(8)=0
We multiply parentheses
3x-5x-3+20-8=0
We add all the numbers together, and all the variables
-2x+9=0
We move all terms containing x to the left, all other terms to the right
-2x=-9
x=-9/-2
x=4+1/2
(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP
Answers
Answer:
2 k 3 − 3 k 2 − 2 k
Step-by-step explanation:
Answer: ...
2k^3−3k^2−2k
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answers
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
Learn more about prism here:
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which expression has a value of 50
Answers
Answer:
b
Step-by-step explanation:
(50 +10) / ( 5+5)
Help me please! This is very confusing.
Answers
Answer: 60°
Step-by-step explanation:
Answer: x=60
Step-by-step explanation:
120+120= 240
360-240= 120
120/2= 60
These two triangles are similar. What is the length of side a and b? Help ASAP pleasee! Look at the screenshot Please, Thank you! :)
Answers
Answer:
do you have 12 as an answer?
What is the area, in square inches, of the shaded part of the shape?
A.110 square inches
B.48 square inches
C.140 square inches
D.80 square inches
Answers
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Answers
Answer:
The area of the large rectangle can be represented in two ways. Either the sum of each of the areas of the individual smaller rectangles, which is what the first equation represents, as its the base multiplied by the height (a) of each rectangle.
The second equation is a simplified version of the first one, and can be explained in three ways:
Each of the terms in the earlier equation had a common factor of a, which could be taken outside the parentheses.
or
Since the height is the same for each of the smaller rectangles, you can just multiply the height times the sum of the three smaller rectangle's widths
or
The width of the large rectangle is just the sum of each of the smaller widths, so the sum of those multiplied by a will give the area of the large rectangle.
Hope this helps!