Answer:
The LCD is 3x²
The other two denominators can be factors of 3x²
Step-by-step explanation:
To get the equivalent fractions, divide the original denominator into the LCD, then multiply the original numerator by the quotient.
For the first term: 1/x²
3x² ÷ x² = 3 3×1=3 The equivalent is 3/3x²
Second term: Leave it as it is.
For the third term: 15x
The implied denominator is 1
3x² ÷ 1 = 3x² 3x² × 15 = 135x²
The equivalent is 135x²/3x²
To check the validity, substitute a value for x and calculate the numbers.
For example let x = 3
The original expression becomes
1/3² + 4/3(3²) - 15(3)
1/9 + 4/27 - 45
With the LCD it is
3/27 + 4/27 - 1215/27
Answer:
3x^2(x+5)
Step-by-step explanation:
hope this helps
how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
Answer:
The final balance is $5,796.37.
The total compound interest is $796.37.
Step-by-step explanation:
Fill in the blanks in the double number-line below.
Answer:
1 2 3 4 5 6 7
8 16 24 32 40 48 56
Step-by-step explanation:
Hope this helps :)
HELP! Question down below
Answer:
B. Both are correct
Step-by-step explanation:
The graph correctly shows y=2x and the table is right.
Answer:
Your answer is.....
Both are correct
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
How many times greater is the area of Circle 1 than the area of Circle 2?If circle ones radius is 9 and circle twos radius is 3
It is 9 fr 100% pls trust me
The area of the circle {1} is 9 times greater than circle {2}.
What is Area?
Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is to find how many times greater is the area of circle 1 than the area of circle 2 if circle ones radius is 9 and circle twos radius is 3.
We can write the areas of both the circles as -
A{Ο} = πR²
A{Ο1} = π x 9 x 9
A{Ο2} = π x 3 x 3
We can write -
A{Ο1} / A{Ο2} = {π x 9 x 9} / {π x 3 x 3}
A{Ο1} / A{Ο2} = 9
A{Ο1} = 9A{Ο2}
Therefore, the area of the circle {1} is 9 times greater than circle {2}.
To solve more questions on areas, visit the link-
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What is the probability of drawing an even numbered card keeping it then drawing another even numbered card from a stack of 24 card numbered 1-24
Answer: I think
Step-by-step explanation:
1/12
help please...
Which graph represents a proportional relationship?
Answer:
Graph C.
Step-by-step explanation:
The graph which illustrates a proportional relationship is graph c because as the value on the Y-axis increases, the values on the X-axis increases consequently.
A direct proportion implies that the values of the quantities on both sides are increasing at a constant rate. Critically looking at graph c, you will notice or observe that the values both intersect at specific intervals or points on the graph.
1. Estimate the y intercept for the line of best fit for the data
2. What kind of correlation exists between the data graph
Answer:
10) (15, 2)
11) 5
12) positive
Step-by-step explanation:
49/70 in its simplest form
Answer:
7/10
Step-by-step explanation:
Brainliest?!?!?!?!
Answer: 7/10
Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!
A trader makes a loss of 10% when he sells a watch for 15,300
what did it cost?
Answer:
CP = 17000
Step-by-step explanation:
Given that,
Loss = 10%
Selling price of the watch, SP = $15,300
We need to find the cost price of the watch.
[tex]CP=\dfrac{100}{100-L\%}\times SP\\\\CP=\dfrac{100}{100-10}\times 15300\\\\CP=17000[/tex]
So, the cost price of the watch is 17000.
HELP ASAP PLS!!!
Marsha recorded the time it took six children of different ages to run one lap around the track. Using the line of best fit, what is closest to the length of time it should take Marsha's 8 year old son to run one lap? Write the equation that represents the situation in slope-intercept form.
Answer:
176 seconds
Step-by-step explanation:
By using regression line calculator,
Equation of the line of best fit will be,
T = -12.55x + 276.52
Here , T = time taken to cover one lap
x = Age
If the age of Marsha's son is 8 years then expected time taken by her son to cover one lap will be,
T = -12.55(8) + 276.52
T = -100.4 + 276.52
T = 176.12 seconds
Therefore, approximate time taken by Marta's son will be 176 seconds.
Pls help asap!(this question is worth 20 points!)picture down below says question
Answer:
138
Step-by-step explanation:
c=5
d=4
6c^2-5d+8
substitute c & d
6(5)^2-5(4)+8
6(25)-20+8
150-20+8 = 138
Evaluate the expression when b=-7 and c=2.
b-6c
X 5
?
Answer:
-19
Step-by-step explanation:
-7 - 6(2) =
-7 - 12 =
-19
20 POINTS!! WILL GIVE BRAINLY!!
how much metal is needed to cast a cubical metal box with outer side 10 inches long if the thickness of its walls should be exactly 2 inches?
Answer:
Hello! :) have a good day!
It would take 784 cm³ of solid iron to make the box.
488 cubic inches of metal is required to cast a cube with outer side 10 inches long if the thickness of its walls should be exactly 2 inches
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
We know the volume of a cuboid is side³.
Given, A cubical metal box with an outer side 10 inches long if the thickness of its walls should be exactly 2 inches.
So, (10 - 2) = 8 inches of the solid cube is hollow.
Therefore, The metal required is a solid cubical box with side of 8 inches subtracted from a solid cubical box with a side of 10 inches which is,
= 10³ - 8³.
= 1000 - 512.
= 488 cubic inches.
learn more about cubes here :
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help. everything is in the picture.
the picture is completely blank
What is log5x=4 in exponential form
Answer:
Step-by-step explanation:
If you mean log₅(x) = 4, take the antilog₅ of both sides.
x = 5⁴
how do I show the relationship between the input and the output
Answer:
Types of Relationships between the Input and Output
The scatter plot can be a useful tool in understanding the type of relationship that exist between the inputs (X’s) and the outputs (Y’s)
Step-by-step explanation:
1. No Relationship: The scatter plot can give an obvious suggestion if the inputs and outputs on the graph are not related. The points will be scattered throughout the graph with no particular pattern. For no relationship to exist, points have to be completely diffused. If some points are in concentration, then maybe a relationship does exist and our analysis has not been able to uncover it.
2. Linear and Non-Linear: A linear correlation exists when all the points are plotted close together. They form a distinct line. On the other hand points could be close together but they could form a relationship which has curves in it. The nature of the relationship has wide ranging implications.
3. Positive and Negative: A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship.
On the other hand a negative relationship is one where more of one input leads to less of another output. This is also known as an inverse relationship.
4. Strong and Weak: The strength of the correlation is tested by how closely the data fits the shape. For instance if all the points are scattered very close together to form a very visible line then the relationship is strongly linear. On the other hand, if the relationship does not so obviously fit the shape then the relationship is weak.
I don't know if this was exactly what you were looking for; hope it is! :)
What is the reciprocal of 1,058
Answer:
0.00094517958
Step-by-step explanation:
this is a answer I think so
a2+3b−12
a=6
and b=2
answer plsss
(6×2)+(3×2)-12
the answer is 6
hope that helps:)
I need help with this question
Answer:
j-10=35
j is 45
Step-by-step explanation:
35+10=45
What is the theoretical possibility of getting one heads and one tails in 2 coin drops with the possibility of it being HH, HT, TT? (heads and heads, heads and tails, tails and tails.)
(please help)
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
48/100
Step-by-step explanation:
because since the tails side is heavier, it is a 51% that it will land on talies and a 49% that it will land on heads.
find the lenght of ab
Answer:
20.6 cm (im pretty sure lol)
Step-by-step explanation:
sine rule:
(ab = x)
13.5/sin41 = x/sin90
13.5sin90/sin41 = x
x = 20.57741667
ab = 20.6cm
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: 1 and 2 & 3 and 4
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: 1 and 3 & 2 and 4
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary:
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
brainlist-brainlist-brainlist
Answer:
triangle
Step-by-step explanation:
The cross section is a triangle.
Answer:
i think either a square or rectangle
Step-by-step explanation:
50 points!!!!!!!!!
Solve for x and y!!! Please help i will give crown!
Answer:
it is an iscoceles triangle..
so I think it should be 45 and 45
Please help me it hard
A random sample of 1175 people in a certain country
Answer:
c
Step-by-step explanation:
..........................
Jenny deposits $50,000 into an account that pays simple interest at a rate of 2% per year.
Frank deposits $50,000 into an account that also pays 2% interest per year. But it is compounded annually.
Find the interest Jenny and Frank earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.
Answer:
Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.
Step-by-step explanation:
Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:
Jenny:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000
Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000
Frank:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 51,000 x 1.02 = 52,020
Year 3 = 52,000 x 1.02 = 53,060.40
How
Solve The D. E
dy/dx=2x^5 y^3 - 4y/x
Find the surface area of the rectangular prism. 8 yd 3 yd 3 yd pls help
Answer:
114
Step-by-step explanation:
add the areas of all 6 faces
the formula is A= 2(l*w)+2(l*h)+2(h*w)
A=2(8*3)+2(8*3)+2(3*3)=114
answer: 114yd^2
4/40 in its simplest form
Answer:
1/10
Step-by-step explanation:
(4/40)/ (4/4) = 1/10
