Power is the result of multiplying two numbers together. The solution of the x²=144 is ±12. The correct option is C.
What is power?Power is the result of multiplying two numbers together such that both numbers are equal to each other. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The solution of the given expression can be written as,
x² = 144
x² = 12×12 or -12×-12
x = √(12×12) or √(-12×-12)
x = 12 or -12
x = ±12
Thus, the solution of the x²=144 is ±12. This is because the multiplication of two positive numbers is positive, also, the sum of the two negative numbers is positive.
Hence, the solution of the x²=144 is ±12
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A problem states: "There are 5 more girls than boys at the party. There are 27 children at the party in all. How many boys are there at the party?"
Let b represent the number of boys.
Which expression represents the number of girls?
A .b+5 B. b*5 C. b-5 D. 5-b
27-5 = 22
22/11 = 11
there are 11 boys at the party
expression = b+5
The force of gravity is less on Mars than it is on Earth. As a result, the weight of an object on Mars m is 40% of its weight on Earth w. Determine which function you would use to find the weight on Mars of a space probe that weighs 15 lb on Earth. Then find the objects weight on Mars.
What is 625 written as a single power number of 5
Susan will rotate triangle ABC 180°about one of the labeled points. Susan says, "The image will not touch the pre-image at all."
Which points could be her center of rotation?
Select each correct answer.
point C
point D
point E
point F
Answer:
point E and F
Step-by-step explanation:
the only ones that make sense
Work out the total amount Adam earned last week
Fifteen marbles are in a row . 20% are blue.one third are green. Yellow marbles account for 0.2 of the row . The remaining marbles are red. Explain how to find out how many of each color of marbles are in the row
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Which expression is equivalent to
Our teacher had1/2 of an eraser left.she gave that to her 2 students equally.how much of the eraser did every student take home
Find the sum of the first 30 terms of the sequence, An = 3n + 2
Answer:
The sum of the first 30 terms of the sequence [tex]\( A_n = 3n + 2 \)[/tex] is 1455.
Explanation:
To find the sum of the first 30 terms of the sequence [tex]\( A_n = 3n + 2 \),[/tex] we need to substitute the values of [tex]\( n \)[/tex] from 1 to 30 into the formula and then add them together.
The formula for the [tex]\( n \)[/tex]th term of the sequence is [tex]\( A_n = 3n + 2 \).[/tex]
Let's find the first 30 terms of the sequence:
[tex]\[ A_1 = 3(1) + 2 = 5 \][/tex]
[tex]\[ A_2 = 3(2) + 2 = 8 \][/tex]
[tex]\[ A_3 = 3(3) + 2 = 11 \][/tex]
[tex]\[ \vdots \][/tex]
[tex]\[ A_{30} = 3(30) + 2 = 92 \][/tex]
Now, we need to find the sum of these terms:
[tex]\[ \text{Sum} = A_1 + A_2 + A_3 + \ldots + A_{30} \][/tex]
To find the sum, we can use the formula for the sum of an arithmetic series:
[tex]\[ \text{Sum} = \frac{n}{2}(A_1 + A_{30}) \][/tex]
Where:
- [tex]\( n \)[/tex] is the number of terms (30 in this case)
- [tex]\( A_1 \)[/tex] is the first term (5)
- [tex]\( A_{30} \)[/tex] is the 30th term (92)
Now, let's calculate the sum:
[tex]\[ \text{Sum} = \frac{30}{2}(5 + 92) \][/tex]
[tex]\[ \text{Sum} = \frac{30}{2}(97) \][/tex]
[tex]\[ \text{Sum} = 15 \times 97 \][/tex]
[tex]\[ \text{Sum} = 1455 \][/tex]
Holly wants to save money for an emergency. Holly invests 1,500 in an account that pays an interest rate of 6.75%. How many years will it take for the account to reach 7300? Round your answer to the nearest hundredth.
Is the square root of 2,500 irrational or rational
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The sum of three consecutive integers is 72. What are the integers?
Splane how you would decide whether the product of three numbers is positive or negative
One positive number is 7 times another positive number. the difference between the two numbers is 24. find the two numbers.
The golf ball is at the point (2.5,2) and the hole is at the point (9.5,2) the golfer wants to bank off the side wall of the green at the point (x,y)
One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a car is V dollars today, which expression represents the car’s value 1 year later?
Answer: 0.92v
Step-by-step explanation:
3x+5y=4, 2x-y=-7 solve using substitution
Wes used 49 quarts of oil when he changed the oil in 7 cars. Complete and solve the proportion to find how many quarts of oin he would use to change the oil in 20 cars, assuming that all cars need to the same quanity of oil.
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?
12x
12
−450+12x
x
Multiply (8 + 3i)(3 + 5i).
Answer:
15i² + 49i + 33.
Step-by-step explanation:
Given : (8 + 3i)(3 + 5i).
To find : Multiply .
Solution : We have given (8 + 3i)(3 + 5i).
Distribute 8 over (3 + 5i) and 3i over (3 + 5i).
8 (3 + 5i) + 3i(3 + 5i).
8 *3 + 8 * 5i + 3 *3i + 3i *5i.
24 + 40 i + 9i + 15 i².
Combine like terms
24 + 9i +40i + 15i².
24 + 49i + 15i².
Therefore,15i² + 49i + 33.
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A bag of marbles has 5 green, 2 yellow, 8 red, and 3 purple marbles. What is the probability of picking a green marble, not replacing it, and then picking a red marble?
You have 128 ounces of milk and drink 16 ounces per day. What algebraic expression models the amount of milk you have? Let x equal the amount of days
The algebraic expression that the amount of milk has will be 128 - 16x.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given,
Total milk = 128 ounces
Rate of drinking milk = 16 ounces/day
x equal the number of days
Then,
Amount remaining = 128 - 16x
Hence, The algebraic expression that the amount of milk has will be 128 - 16x.
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Write a true conditional statement about yourself. Then write the converse of your statement in if-then form. Is the converse true?
Evaluate u + xy, for u = 18, x = 10 and y = 8
U+xy
Where u=18,x=10,y=8
Sub in all these values
18+10(8)
18+80
98
Hope this helps!
A person is strolling along a moving walkway at a constant velocity of +1.00 m/s with respect to the walkway, which moves at a constant velocity of +0.50 m/s with respect to the ground. an observer on the ground is walking at a constant velocity of -0.2 m/s. what is the velocity of the person on the walkway with respect to the observer on the ground?
25. Find the measure of an angle that is 10 more than three times its complement. Show all work in order to receive credit.
What is the rate at which work is done on the refrigerator? carnot?
The rate at which work is done on the refrigerator and Carnot refrigerator depends on the cooling effect desired and the efficiency of the refrigerator.
For a refrigerator,
The coefficient of performance is Qc / W
For a Carnot refrigerator,
The coefficient of performance is Tc / (Th - Tc).
We have,
The rate at which work is done on the refrigerator depends on the specific context or situation.
In general terms,
Work is done on a refrigerator when an external force or energy is applied to the refrigerator to compress the refrigerant and drive the cooling cycle.
This work is usually done by a compressor, which requires energy input to operate.
The efficiency of a refrigerator, including Carnot refrigerators, is given by the coefficient of performance (COP).
The COP is defined as the ratio of the cooling effect (Qc) to the work input (W):
COP = Qc / W
For a Carnot refrigerator, which is an idealized and reversible refrigerator operating between two temperature reservoirs, the COP is given by:
COP = Tc / (Th - Tc)
Where:
Tc = Temperature of the cold reservoir (inside the refrigerator)
Th = Temperature of the hot reservoir (outside the refrigerator)
Generally, higher-efficiency refrigerators require less work input to achieve a given cooling effect.
However, the actual rate of work done on a specific refrigerator depends on its design, efficiency, and the cooling requirements of the system.
Thus,
The rate at which work is done on the refrigerator and Carnot depends on the cooling effect desired and the efficiency of the refrigerator.
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Sarah has 12 shirts and 3 pairs of pants. How many combinations of outfits can she make