What is the value of the expression 3^−4 ?
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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X to 2nd power equals 9/256
-4+6(-4x+3) combining like terms & distributive property
which number has a 2 in position where it represents 10 times as much as the 2 in 4,523 a. 241 d. 612 c. 928 b. 2,175
The number 2,175 is the correct answer because its 2 is in the 'hundreds' place which is 10 times as much as the 2 in the 'tens' place of the number 4,523.
Explanation:In the provided options for numbers, we are to find a number which has a 2 that represents 10 times as much as the 2 in 4,523. In number 4,523, the number 2 represents '20', that is, it is in the 'tens' place. Therefore, we are looking for a number where 2 is in the 'hundreds' place as the 'hundreds' place is 10 times the 'tens' place. From the options given, only number 2,175 fits this criterion as in this number, 2 is in the 'hundreds' place which is 10 times as much as the 'tens' place.
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What is the sum of -2.16 and -1.75
Which is the best estimate for the sum of 31,096 and
58,721?
I REALLY NEED HELP PLEEEASS Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today. Write and solve an inequality to solve for the least amount of money she needs to deposit to avoid a fee.
524.96 − 32.50 + x ≥ 500; x ≥ $7.54
524.96 − 32.50 + x ≤ 500; x ≤ $7.54
524.96 + 32.50 − x ≥ 500; x ≥ $57.46
524.96 + 32.50 − x ≤ 500; x ≤ $57.46
The answer is A, because I said so and Im Albert Einstein´s nonrelative
what is the sum of three consecutive odd integers is 75?
Help me ASAP!!!
(64 ÷ -4) ÷ (-2)
4 divided by 10.2 =
Please help me
If r is five less than three times l, then r = A)3l - 5 B)5 - 3l C)5l - 3 D)3(l - 5)
Answer: The correct option is
(A) [tex]r=3l-5.[/tex]
Step-by-step explanation: Given that r is five less than three times l.
We are to write the expression for r.
We have
5 less than three times l can be written as follows :
[tex]3\times l-5=3l-5.[/tex]
Since this is equal to r, so the expression can be written as
[tex]r=3l-5.[/tex]
Thus, the required answer is [tex]r=3l-5.[/tex]
Option (A) is CORRECT.
in which square is 25% not shaded
Men in the age groups of 18-34 years need to be to run a marathon in 3 hours and 10 minutes to qualify for the boston marathon how many seconds is this?
Segment PQ bisects segment ST at point R.
SR=2x+2 and ST=40
Find the length of segment SR.
a
SR=9
b
SR=40
c
SR=36
d
SR=20
Answer:
2(2x+2)=40, 4x+4=40, 4x=36, x=9..plug in 9..
2x+2, 2×9+2, 18+2, 20=sr
Step-by-step explanation:
Avery and her friends attend a museum. It costs $5 to enter the main exhibit hall, with an added charge of $3 to view each special exhibit. Avery writes an equation that models the total price of visiting the museum as a function of the number of special exhibits they view. What is the slope and y-intercept of Avery’s model?
Hence, slope = 3 and, y-intercept = 5.
What is function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, given that,
Avery and her friends attend a museum. It costs $5 to enter the main exhibit hall, with an added charge of $3 to view each special exhibit.
Avery writes an equation that models the total price of visiting the museum as a function of the number of special exhibits they view.
Now, let the function be,
f(x)= 3x+5 = the total price of visiting the museum
[where, x= special exhibit & 5=the main exhibit hall]
Let, y = f(x)
So, w get, y=3x+5
Hence, slope = 3
and, y-intercept = 5.
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An airplane can travel at a speed of 550 mph. Write and solve an equation to find the time it will take to fly from London to Montreal, a distance of approximately 3300 miles
The time it will take for an airplane to fly from London to Montreal at a speed of 550 mph covering a distance of 3300 miles is approximately 6 hours.
Explanation:To find the time it will take for an airplane to fly from London to Montreal, we can use the equation for speed, which is:
Speed = Distance \u00f7 Time
Knowing that the plane can travel at a speed of 550 mph and the distance from London to Montreal is 3300 miles, we can rearrange the equation to solve for time:
Time = Distance \u00f7 Speed
Time = 3300 miles \u00f7 550 mph
After calculating, we find that:
Time = 6 hours
Therefore, it will take the airplane approximately 6 hours to fly from London to Montreal at a constant speed of 550 mph, ignoring any other factors such as wind or air traffic delays.
To find the time it will take, we can use the formula Time = Distance/Speed. In this case, it will take approximately 6 hours to fly from London to Montreal.
Explanation:To find the time it will take to fly from London to Montreal, we can use the formula Time = Distance/Speed. In this case, the distance is approximately 3300 miles and the speed is 550 mph.
Plugging in the values into the formula, we get Time = 3300 miles / 550 mph = 6 hours. So, it will take approximately 6 hours to fly from London to Montreal.
Therefore, the time it will take to fly from London to Montreal is 6 hours.
Change the order and the grouping of the addends so that you can use mental math to find the sum. Then find the sum. 43+39+43+11=
Final answer:
By applying the commutative property of addition and rearranging the numbers for easier mental calculation, the sum of 43 + 39 + 43 + 11 can be found to be 136.
Explanation:
The question asks to change the order and the grouping of the addends for easier mental calculation, and then to find the sum of 43 + 39 + 43 + 11. By understanding the commutative property of addition, which states that numbers can be added in any order without changing the sum, we can rearrange these numbers for easier addition.
To use mental math effectively, grouping numbers that make round numbers or those that are easier to add can simplify the process. Here, we can group 43 and 43, which are identical, and 39 and 11, which sum up to a round number.
Therefore, by rearranging:
43 + 43 = 86
39 + 11 = 50
Adding these sums together:
86 + 50 = 136
By changing the order and grouping of the addends, we find that the sum is 136.
1. Is it possible for a composite number to have more than one prime factorization? Is it possible for a number to have no prime factors? Why?
2.Give and example of how prime factorization could be used in the real world
(4.9 x 10^-2) (9.80 x 10^2) = _____
sara nick and robin were collecting cans for a recycling project . sara collected 5 times as many cans as robin . nick collected 6 times as many cans as robin . the 3 children collected a total 216 cans . how many cans did they each collect?
Quinn runs 3 miles 3 times every week. How many miles does Quinn run in 6 weeks
So far, 37 miles of a new highway have been completed. This is one mile less than two thirds of the entire length. How long will the new highway be when complete?
The total length of the new highway, when complete, will be 57 miles.
Explanation:The question states that 37 miles of a new highway have been completed and this distance is one mile less than two thirds of the entire length of the highway. To solve this problem, we need to write an equation using the given information and solve for the variable representing the total length of the highway.
Let's denote the total length of the highway as 'x'. According to the problem, two thirds of this length minus one mile equals 37 miles. Forming an equation, we can write (2/3)x - 1 = 37.
To solve for 'x', first add 1 to both sides of the equation to get rid of the '-1' on the left, that gives us (2/3)x = 38. After, to completely isolate 'x', multiply both sides of the equation by the reciprocal of 2/3, which is 3/2. Doing this results in 'x' = 38 * (3/2) = 57 miles.
Therefore, the new highway will be 57 miles long when complete.
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A ski club had 146 members. Each member paid $30 a month for training fees. How much did the club collect in fees for the year? Show your work.
of the 150 people surveyed seven out of 10 said they owned at least one pet how many of the people surveyed owned pets
Shown in the figure is part of a design for a water slide. Find the total length of the slide to the nearest foot, if α = 25°, β = 31°, a = 35 ft, and b = 170 ft.
A crane cable can support a maximum load of 17,000 kg. If a bucket has a mass of 4,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane? Enter any fractions as reduced improper fractions.
The teacher separated her class of twenty-eight student into two group. one group has 4 more than twice as many students as the other group. how many students are in each group?
<ABD has a measure of 36 degrees. a)find the compliment of the angle b)find the supplement of that angle
the school fun fair made 1,768 on games and 978 on food sales. how much money did the fun fair make on games and food.
Use the rule y = -x + 7 to fill in the blank.
If (-1, y) is on the graph, then y =
Answer:
k no Im just joking it is y=6
Step-by-step explanation:
Using the rule y = -x + 7, when x is -1, the value for y in (-1, y) is 8.
Explanation:The rule given is y = -x + 7. If we insert x = -1 into the formula, we get y = -(-1) + 7, which simplifies to y = 1 + 7 and then further reduces to y = 8.
So, when (-1, y) is on the graph of the function, y equals to 8.
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