The required simplified value for the expression [tex]3^{-4}[/tex] is 1 / 81.
Given that,
To determine the simplified value of the expression [tex]3^{-4}[/tex] .
The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
[tex]3^{-4} = 1/3^4[/tex]
3 * 3 * 3 * 3 = 9 * 9 = 81
[tex]3^{-4} = 1 / 81[/tex]
Thus the required simplified value for the expression [tex]3^{-4}[/tex] is 1 / 81.
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Lucy's final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 3 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct. She needs more than 90 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
PLEASE HELP!
A half of a class and a half of a student got A on a test. If yet another student got an A, then two-thirds of the class would have an A for the test! How many students are there in that class?
6 students are there in a class.
What is an example of a word problem?Word problems normally include mathematical modeling questions, in which records and statistics approximately a certain system is given and a pupil is needed to broaden a model. as instance: Jane had $5.00, then spent $2.00. How lots does she have now?
What are word problems referred to as?In computational mathematics, word trouble is the hassle of finding out whether given expressions are equivalent with admire to a hard and fast of rewriting identities. A prototypical instance is the word problem for corporations, but there are many other instances as nicely.
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If a perimeter of a room is 78 feet, what is the area of the floor of the room?
There is a rectangular diagram with the longer written "2w+3"and shorter side has "w" written.
writing an inequality for x that would give this rectangle a perimeter of at least 300 ft.
Length: 3ft
width formula: x+5ft
please show steps!
Answer:
142≤ x.
Step-by-step explanation:
Given : rectangle a perimeter of at least 300 ft and Length: 3ft and width formula: x+5ft.
To find : Writing an inequality for x that would give this rectangle a perimeter.
Solution : We have given length = 3 ft.
Width = x + 5 ft .
Perimeter = 300 feet .
Perimeter = 2 ( length + width ) .
Plugging the values and greater than equal to sign for at least.
300 ≤ 2( 3 + x +5).
300≤ 2( 8 +x) .
300≤ 16 + 2x
On subtracting both sides by 16.
300 -16 ≤ 2x .
284 ≤ 2x.
On dividing both sides by 2.
142≤ x.
We can say x is at least 142.
Therefore, 142≤ x.
Write 36 as a product of its prime factors write the factors in order, from smallest to largest
Grace sold 5/8 of her stamp collection. What is this amount as a decimal?
Are the opposites of -6.5 and the absolute value value -6.5 the same
Is 10/11 rational or irrational? (10/11 = 0.909090)
80 divided in a ratio of 3:2
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61. What was the ending balance in her account?
The ending balance would be (-8.23).
What is unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Lori had $126.89 in her bank account.
She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.
After deposit her balance would be
=126.89 + 21.49
=148.38
and, the balance after paying for the repair
=148.38 - 156.61
=$ (-8.23)
Hence, the ending balance would be (-8.23).
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A jug holds 4.8 liters. How many milliliters does it hold?
we know that
[tex]1\ liter=1,000\ milliliters[/tex]
so
By proportion
Find how many milliliters are [tex]4.8\ liters[/tex]
[tex]\frac{1,000}{1} \frac{ml}{l} =\frac{x}{4.8} \frac{ml}{l} \\ \\ x=1,000*4.8\\ \\x=4,800\ ml[/tex]
therefore
the answer is
[tex]4,800\ milliliters[/tex]
please help
ok it's blurry sorry
Kyra is particapatiog ina fundraiser walk a thon she walks 2 miles in 30 minutes if she continues to walk at the same rate determine how many minutes it will take her to walk 7 miles use a double line diagram to support your answer. PLEASE HELP ME I LOVE U IF U HELP ME
What are factors and can you give me an example of an expression and it's factors
in a local coed softball keague, male to female ratio is 6:6. if there is 160 players in the league, how many are female?
In 1990, one city’s population was 98,064. In 2000, the same city’s population increased by 13,434. In 2010, the city’s population increased by another 7,892.
What was the city's population in 2010?
Pls help me with grade 2 ecuation
2x square-5x+2=0
The solutions are x=2 or x=1/2
Yuna missed 5 points out of 100 on her math test.What decimal number reprents the part of her math test that she answered correctly
Answer:
0.05
Step-by-step explanation:
Given function:
5 of 100find the decimal number1.00=100%=100
this means..
5 of 100=0.05.
Is sarah is 24 years younger than her mom and if the sum of their age is 68 how old is sarah?
Help please!
What type of equation will best fit the data below?
Linear
Quadratic
Exponential
What type of equation will best fit the data below?
The given data represents a parabolic curve, that means it is a quadratic equation.
Explanation:
A parabola is defined as a curve with all the points at an equal distance from the focus and the straight line. While calculating the whole parabola, make sure that the equation for the given parabola must be in the standard quadratic form f(x) = ax² + bx + c, where "a" is not equal to zero.
Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for the same price. The expression −450+12x represents the profit that Tony has earned based on the number of blankets sold. Which expression represents the total amount Tony earns from selling blankets?
~~~~~~~~The answer IS 12x~~~~~~~~
joshua swims 25 meters in 1 minute.Draw a graph of meters swam versus time.Find the value of the slope and interpret it in words
Answer:
Given,
The number of meters covered by Joshua in 1 minute = 25 meters,
So, the number of meters covered by him/her in x minutes, ( say y ) = 25x minutes,
⇒ y = 25x,
Which is the equation of line passes through origin,
If x = 1, y = 25,
If x = 2, y = 50,
So, by joining the points (1, 25) and (2,50) we will get the graph,
∵ Slope of a line y = mx + c is m,
By comparing,
The slope of the above line is 25 that shows the rate of change in meters per minute.
Note : x ≥ 0, because number of minutes can not be negative.
what is the answer to 38.22÷2.6 and how would you show your work
Evaluate for x = 2.
(12x + 8)
4
A) 4
B) 5
C) 6
D) 8
Can someone help pleases
The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph. The original photo has a width of 5 in. What width will the copy be?
Answer: 10 in.
Step-by-step explanation:
Given : The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph.
We can write 200% = 2 [ ∵ to convert percent into decimal or fraction we divide it by 100 and [tex]200\div100=2[/tex] ]
Since , The original photo has a width of 5 in.
Then, the width of the copy will be :-
[tex]2\times5=10\ in.[/tex]
Hence, the width of the copy will be 10 in.
The cover of a photo album has an area of 97.5 square inches. Find its area in square centimeters.(1cm =
0.3937 inches)
Answer: [tex]629.031 \text{ square centimeters}[/tex]
Step-by-step explanation:
Given : The cover of a photo album has an area of 97.5 square inches.
It is given that 1 cm = 0.3937 inches
By unitary method , 1 inch=[tex]\dfrac{1}{0.3937}=2.54000508001\approx2.54 \text{ cm}[/tex]
Then, 97.5 square inches =[tex]97.5\times2.54\times2.54[/tex]
[tex]\\\\=629.031\approx629.031 \text{ square centimeters}[/tex]
Hence, The required answer is[tex]629.031 \text{ square centimeters}[/tex].
Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
Triangle 1: 3 in., 6 in., 7 in.
Triangle 2: 3 in., 6 in., 8 in.
Triangle 3: 3 in., 7 in., 8 in.
Triangle 4: 6 in., 7 in., 8 in.
How many of his triangles are obtuse?
(a.)1
(b.)2
(c.)3
(d.) 4
The number of obtuse triangles from the information will be 3.
What is an obtuse triangle?
It should be noted that an obtuse triangle is a triangle with one obtuse angle that is greater than 90° and two acute angles.
Given that, Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
In this case, Jamel is asked to create triangles using three or four given sticks. In an obtuse triangle, the square of the third side is always greater than the sum of the two sides.
Therefore, By the given numbers there can be made 4 triangles having sides:
1) 3, 6, 7
3) 3, 7, 8
4) 3, 6, 8
Therefore, the correct option will be 3.
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On the album 1989 by Taylor swift, Blank space is 12 seconds longer than shake it off. If the combined time of the two songs is 7 minutes and 30 seconds, how long is Shake It Off? Give your answer in minutes and seconds.
Answer:
Givens:
Blank Space is 12 sec longer than Shake It Off.The duration combined is 7 minutes and 30 seconds, which is 420 seconds.Lest's call [tex]B[/tex] Blank Space and [tex]S[/tex] Shake it Off, the relations would be
[tex]B=12+S\\B+S=420[/tex]
Now, we replace the first equation into the second equation and solve for [tex]S[/tex]:
[tex]12+S+S=420\\2S=420-12\\2S=408\\S=\frac{408}{2}=204[/tex]
Then, we replace this value into the first equation
[tex]B=12+S\\B=12+204=216[/tex]
This means that Shake It Off is 204 seconds long and Blank Space is 216 seconds long.
Therefore, if we express in minutes and seconds, we would have:[tex]204sec\frac{1min}{60sec}=3.4min=3 \ min \ and \ 24 sec[/tex]
[tex]216sec\frac{1min}{60sec}=3.6 min=3 \ min \ and \ 36 sec[/tex]
What is the ratio 45:75 simplified