Is the a system of equations has no solution, the graph of the system are?
Answer:
When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
At what interest rate must $112,000 be invested so that it will be worth $392,000 in 14 years?
Answer:
25%
Step-by-step explanation:
Simple interest= PRT/100
392,000=112,000*R*14/100
392,000=1120*14*R
392,000=15,680R
R= 392,000/15,680
R= 25%
In your own words, explain how prime factorization is useful to find the greatest common factor and least common multiple.
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number
So you can use the factor tree to find the GCF and LCM
The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number
What is prime factorization?Prime factorization is a process of writing all numbers as a product of primes. So, for example, say if we have something like the number 20. We can break that down into two factors. We can say, “well, that's 4 times 5.” And notice, 5 is a prime number.
here, we have,
we need to explain how prime factorization is useful to find the greatest common factor and least common multiple.
now, we know that,
gcf is: Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.
and,
lcm is : LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
so, we have,
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
So you can use the factor tree to find the GCF and LCM.
Hence, The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
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Differentiate y = tan²x from first principle
Answer:
[tex]y'=2sec^2(x)tan(x)[/tex]
Step-by-step explanation:
An altitude of a triangle is a line or segment that passes through a vertex of
the triangle and is perpendicular to the line containing the opposite
Answer here
Answer: side
Step-by-step explanation:
Pasang fixed the marked price of a watch Rs. 4000 and he sold it allowing a discount of 10%. Then he made a profit of Rs 400. Find the cost orice of the watch.
Answer:
Cost Price = Marked Price -Discount - Profit
CP = 4000-400-400
Cost price = 3200
Rs. 3200
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This year, a small business had a total revenue of 89,700 . If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?
Answer:
Revenue was 55,614 the year before
Step-by-step explanation:
Decay Formula: y = a*(1-r)^x
So:
y = 89700 * (1-0.38)^1
y = 55614
well, their total revenue last year was "x", which oddly enough is 100%. Now, this year's revenue is 38% more than that, well, 100% + 38% = 138%, and we also know that it's 89700, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 89700& 138 \end{array} \implies \cfrac{x}{89700}=\cfrac{100}{138}\implies \cfrac{x}{89700}=\cfrac{50}{69} \\\\\\ 69x=4485000\implies x=\cfrac{4485000}{69}\implies x=65000[/tex]
Convert the unit of length. Round the answer to one decimal place if necessary. Assume 1 yd ≈ 0.914 m.
8m≈ yd
8m≈________ yd ?
Answer:
8.75
Step-by-step explanation:
I divided 8 by .914 and got and estimate of 8.75
c. A detergent contains a mixture of chemicals: A, B and C in the ratio 4: 10:10. A bottle of detergent contains 1.8 litres of Chemical C. How much of chemical A and B does the bottle contain? 161
Answer:
A = 0.72l B = 1.8l C = 1.8l
Step-by-step explanation:
A:B:C = 4:10:10
It means that B and C are equal
It is told that C contains 1.8 liters
B have to contain 1.8 liters too
1.8l*4/10 = 0.72l
You can also write it like this (this version is easier for me):
1.8l:10 = 0.18l
4*0.18l = 0.72l
Hope that I helped :)
if 8 pieces are 220 calories how many calories is 1 piece
Step-by-step explanation:
8 pieces = 220 colories
1 piece = 220/8 = 27.5 calories
Answer:
27.5
Step-by-step explanation:
8 divided by 220 = 27.5
Sorry about the fisrts time i put the 8 in frunt and 220 in the back so it was all back werds Sorry about that
And Hope This Helps
How much on average did she make a week, if she worked 15 hours a week at $11/hour? (Rounded to the nearest whole dollar. Do NOT put the dollar sign.)
Answer:
1265 i think
Step-by-step explanation:
add 11 15 times
Answer:165
Step-by-step explanation:
Help picture below problem 9
Answer:
i think the answer might be E.
the answer is A option that is Angle M
How did the structure of the Han dynasty reflect Confucianism? Increasing rebellions represented the emphasis on warfare. Crowning a new emperor reflected the importance of loyalty. The multiple levels of bureaucracy reflected the belief in social order. The need for new leaders highlighted the importance of self-promotion.
Answer:
the multiple levels of bureaucracy reflected the belief in social order
Step-by-step explanation:
Find the measure of ∠b.
A. 110∘
B. 102∘
C. 111∘
D. 121∘
Answer:
110 :)
Step-by-step explanation:
Triangle total angle measurement: 180
Now lets solve!
28 + 42 + ? = 180
70 + ? = 180
Now we have to subtract!!
180 - 70 = 110
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can you please help me find the area. I put 141 but it says that i am wrong. Can anybody help and say what i did wrong.
Answer:
3120 think
Step-by-step explanation:
i just did 3x8x10x13
Rewrite the expression ^3 square root of x^8 using rational exponents.
Answer:
X^8/3
Step-by-step explanation:
When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.
Simplify the following expression. 23 + 13 + 63 × 63 ÷ 6 =
Answer:
Here is the answer
Step-by-step explanation:
Need help ASAP due today! I will give brainlisted for correct answer!
Answer: 15.
Step-by-step explanation: To find the slope, you need to use rise/run which is done below if you need a visual look at what I'm saying. Before we use rise/run, we need two points on the line. We'll use (2, 80), and (6, 140). We need to go 60 up and 4 to the right to make the points meet. Going up or down is the rise and left or right is the run. Our rise/run is 60/4 or 15 when you divide. Therefore, 15 is your slope for this equation of a line.
Have a great day! :)
Evaluate the expression 5p for p=2
Answer:
10
Step-by-step explanation:
when p=5
substituting p=5 into 5p.
5p = 5×2 =10
Find the area of the figure.
answer:
804.980cm²
explanation:
attached
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A circular garden has a diameter of 10 feet. Approximately how much edging trim is needed to surround the garden by placing the trim all along the garden's circumference?
Answer:
31 feet
Step-by-step explanation:
circumference = pi × diameter
pi × diameter = 31.4 (10×3.14)
Answer: 31 ft
Step-by-step explanation:
circumference = pi × diameter
pi × diameter = 31.4 (10×3.14)
A system of equations is shown below.
Equation A: 4x - y = -5
Equation B: x + 2y = 1
Which method eliminates one of the variables?
1.
Multiply equation A by 2 and add the result to equation B.
2.
Multiply equation B by 4 and add the result to equation A.
3.
Multiply equation A by 2 and equation B by 4, and add the results toge
4.
Multiply equation B by 2 and equation A by 4, and add the results toge
Answer:
this one has to be answer 1
Step-by-step explanation:
4x - y = -5
x + 2y =1
8x - 2y = -10
x + 2y = 1
9x = -9
(a) Write down the angle between the vector i + j and the vector i- j.
(6) Calculate the angle between the vector 2i + 5j and the vector 4i.
(2)
(c) Two forces, A = (14i +2j) N and B = (2i - 6j) N, act on a ball.
Show that the magnitude of A is Root k times larger than the magnitude of B, where k is
an integer
(3)
What is the surface area of this prism?
Answer:
Step-by-step explanation:
front side: 6x3 = 18
back : 6x3 = 18
right:6x2 = 12
left:6x2 = 12
top: 3x2 =6
bottom: 3x2 =6
18 + 18 + 12 + 12 + 6 + 6
= 72
IM STUCK CAN SOMEBODY SOLVE THIS EQUATION
[tex]\sqrt{50} +\sqrt{18}[/tex]
Answer:
8 × square root of 2
Step-by-step explanation:
50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.
18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.
then we just find the sum
evelyn invests $3200.00 in an account for 9 months at a 5% annual interest rate, what is evelyns total amount in her account at the end of the term?
Answer:
3320
Step-by-step explanation:
So, 9 months is 9/12 of a year which is 3/4.
Each month they get 5/12% of their total money, so 9x5/12=3.75%.
3320
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Is an antacid polar or non-polar?
Answer:
Antacid tablets react with water but not oil so its polar
Find the area of the square.
pls help!!
Answer:
Area of square: 9/16 m²
Step-by-step explanation:
We are given:
Side length of square: 3/4 metersThe area of the square is the side multiplied by the same side. Therefore,
⇒ Area of square: (3/4) × (3/4)⇒ Area of square: (3/4)²Using the exponents property, [(a/b)² = (a²/b²)]:
⇒ Area of square: (3²/4²)⇒ Area of square: (9/16) m²Therefore, the area of the square is 9/16 m².
Answer:
[tex]\huge\boxed{\bf{Area_{square} = \frac{9}{16}m^2}}[/tex]
Step-by-step explanation:
Given : -
Slide length of square = [tex]\frac{3}{4}[/tex]m.To Find : -
Area of squareAns : -
$\sf \to Area_{square} = (side\:length)^2$
$\sf \to Area_{square} = (\frac{3}{4}m)^2$
$\sf \to Area_{square} = (\frac{3}{4}m*\frac{3}{4})$
$\sf \to Area_{square} = (\frac{3*3}{4*4}m^2)$
$\sf \to Area_{square} = \frac{9}{16}m^2$
[tex]\:[/tex]
$\huge\colorbox{skyblue}{BlackPain}$
(12 points) Let X = (1,2,3,4,5).
(a) Find the number of sequences of length 7 over X.
(b) A palindrome of length kis a sequence aja2 ... 0 such that alk-1...0,01 = 0102 ...k-101ka Find the number of palindromes of length 7 over X.
(c) How many three digit odd positive integers with distinct digits can you write using only the numbers in X?
The answer is C
If I am wrong, please come after me, I am not perfect