Step-by-step explanation:
Question 3 :
We have ,
a = bc . . . . . (i) b = ac . . . . . (ii)c = ab . . . . . (iii)Multiplying all three equations ,
=> a × b × c = bc * ac * ab
=> abc = a²b²c²
=> abc/a²b²c² = 1
=> 1/abc = 1
=> abc = 1
Hence Proved ![tex]\rule{200}2[/tex]
Use the compound interest formula to determine the final value of the given amount.
$150 at 3% compounded daily for 16 years.
The final value is $ ?
Answer:
342.22$
Step-by-step explanation:
Which representation shows y as a function of x?
Convert the equation x2 + 4y2 + 2x + 24y + 21 = 0 into standard form.
Answer:
(X+1)²+4(y+3)² = (√-20)²
Step-by-step explanation:
The standard form of expressing equation ic;
(x-a)²+(y-b)² = r²
Given the expression
x²+4y²+2x+24y+21 = 0
Collect the like terms
x²+2x + 4y²+24y+21 = 0
Completing the squares
x²+2x +(2/2)² + 4(y²+6y)+21 = 0+(2/2)²
x²+2x +(2/2)² + 4(y²+6y+(6/2)²)+21 = 0+(2/2)²
x²+2x +1 + 4(y²+6y+(3)²)+21 = 0+1
x²+2x +1 + 4(y²+6y+9)+21 = 0+1
x²+2x +1 + 4y²+24y+36+21 = 0+1
x²+2x +1 + 4(y²+6y+9)+21 = 0+1
x²+2x +1 + 4(y+3)²+21 = 0+1
(X+1)²+4(y+3)² = 1 - 21
(X+1)²+4(y+3)² = -20
(X+1)²+4(y+3)² = (√-20)²
A data set is made up of the values 6, 6, 8, 12, and 18.
The table shows the distance between each value and the mean of 10.
What is the mean absolute deviation (MAD) of the data set?
Answer: The answer would be B which is 4
Step-by-step explanation:
I took the quiz and got it right.
A number has a remainder of 1 when divided by 4 a remainder of 2 when divided by 5 and a remainder of 3 when divided by 6. What is the smallest number that has the above properties?
Answer:
Smallest number with the properties in the question = 57
Step-by-step explanation:
Let's first find the LCM of the three numbers which it is divided by which are 4,5,6.
LCM of 4,5 and 6 is 60.
We are told that;
The number has a remainder of 1 when divided by 4
The number has a remainder of 2 when divided by 5
The number has a remainder of 3 when divided by 6
In all 3 cases, the difference between the divisor and the remainder is 3.
This means that the smallest number in that has the properties in the question must be; 60 - 3 = 57
help me with this math question please I'm giving away brainliests
Answer:
Horiz asym y=-4/5
Vertical asym x=0
x intercept (5,0)
y intercept : none
Step-by-step explanation:
A polygon's measurement(s) include which of the following?
Check all that apply.
A. Height
B. None of these
C. Length
D. Width
Answer:
Length and Width
Step-by-step explanation:
I took the A P E X quiz
A polygon's measurement includes Length and Width, That is option c and d.
What is Polygon?
A Polygon is a closed figure made up of lines segments (not curves) in two-dimensions. A minimum of three line segments are required for making a closed figure, thus a polygon with a minimum of three sides is known as Triangle.
Polygon has a plain 2D shape which has minimum 3 sides.
polygon not has curve lines.
Polygon is not 3D shape figure, so height is not a measurement of polygon.
Hence, Length and Width is the measurement of polygon
Learn more about Polygon:
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A line passes through the points (0, 7) and (2, 3). Given this information, complete the equation below (y= mx+b) by determine the slope and y-intercept.
Answer:
y = -2x + 7
Step-by-step explanation:
Given: (0, 7) and (2, 3)
Using the slope-intercept formula: y2-y1/x2-x1
3-7/2-0 = -4/2 = -2
Y-intercept:
Use y= mx + b to find the y-intercept (b). For this, I will be using the coordinates (2, 3). Plug 2 into x and 3 into y, then solve.
3 = -2(2) + b
3 = -4 + b
7 = b
Form the equation together:
y = -2x + 7
find the length of the hypotenuse in the picture plz
Answer: 15
Step-by-step explanation:
Sarah has 11 ¼ lb of dry dog food. She will put an equal amount of food into 3 containers. How much food will be in each container?
Answer:
3 3/4 lb
Step-by-step explanation:
11 ¼ lb ÷ 3
11 ¼ lb x [tex]\frac{1}{3}[/tex]
convert 11 ¼ lb to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{45}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{15}{4}[/tex] = 3 3/4 lb
Roger is buying a new pair of shoes for 25% off. If the original price of the shoes was $80.00, how much money is Roger saving on the shoes? A. $2.00
B. $20.00
C. $6.00
D. $60.00
TRUE OR FALSE?
All square roots can be simplified to a decimal answer and still be equivalent.
THE ANSWER IS TRUE :P
Step-by-step explanation:
All the square roots can be simplified to a decimal answer and still be equivalent.
What is Square Root?Square root of a number is the value such that the value when multiplied to itself two times gives the original number.
It is denoted by the symbol √.
For example, square root of 16 is 4 since 4 × 4 = 16
We know that every number has a square root.
All the numbers does not have a perfect square root.
The perfect square roots does exists for numbers 1, 4, 9, 16, 25, .......
All the other numbers in between has the square roots which are decimal numbers.
Hence, all square roots can be simplified to a decimal answer and still be equivalent.
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in the adjoining figure ABC is right angled and triangle and B C D E is a rectangle .if ed= 24 cm then a triangle ∆ABC= 45 cm and BC = 7 cm find the length of ad
Answer:
Step-by-step explanation:
2
an square has an area of 54 sq in . the length of each side is the same but not a whole number
Answer:
Answer = 13.5
Step-by-step explanation:
A square has 4 sides
54 / 4 = 13.5
The side of the square will be 7.34 inches.
What is an area?A square is a quadrilateral having all the sides equal to each other and the sum of the angles will be 360 degrees. The area is defined as the space occupied by the shape in a two-dimensional plane.
Given that a square has an area of 54 sq in . the length of each side is the same.
The side of the square will be calculated as below:-
Area of square = Side²
54 = Side²
Side = √54
Side = 7.34 inches.
Therefore, the side of the square will be 7.34 inches.
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What is the length of the missing leg?
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y + 2 = 6(x+6)
Given:
The equation is:
[tex]y+2=6(x+6)[/tex]
To find:
The given equation in the form of [tex]Ax+By=C[/tex], where A, B, C are integers.
Solution:
We have,
[tex]y+2=6(x+6)[/tex]
It can be rewritten as:
[tex]y+2=6x+36[/tex]
[tex]y-6x=36-2[/tex]
[tex]-6x+y=34[/tex]
The above equation is in the form of [tex]Ax+By=C[/tex], where [tex]A=-6,B=1[/tex] and [tex]C=34[/tex].
Therefore, the requires equation is [tex]-6x+y=34[/tex].
Which expression represents a number that is four times as large as the sum of
8 and 160?
(160+8) :4
(160 x 8) + 4
(160 : 8) +4
(160 + 8) x4
Done
Answer:
98
Step-by-step explanation:
Answer:
(160+8)x4
Step-by-step explanation:
you just multiply 4 to the sum of 160+8, so you get the equation i put above
can someone help me pleaseeee? whoever answers first gets the brainliest
5. Determine whether the sequence is arithmetic. If so, find the common difference.
1/9, 5/9, 25/9, 125/9, 625/9,...
A. 25/9
B. 625/9
C. 5/9
D. 4/9
E. The sequence is not arithmetic.
Answer:
d mgdyhdsyii3uhf4t3h.
What is the radius of a circle whose area is 36 π cm squared?
Answer: 3.39
Step-by-step explanation: maybe
Solve for x in the diagram below.
Answer:
x = 9
Step-by-step explanation:
The parallel lines divide the sides of the triangle in proportion, that is
[tex]\frac{20-8}{x}[/tex] = [tex]\frac{8}{6}[/tex]
[tex]\frac{12}{x}[/tex] = [tex]\frac{8}{6}[/tex] ( cross- multiply )
8x = 72 ( divide both sides by 8 )
x = 9
Giving brainlist to whoever answers
Answer:
-5
Hope this helps!
Answer:
c
Step-by-step explanation:
Uh plz help ;-;
Plzzzzz
Answer:
B)
the (8+7) x (10 + 7) x (6 + 4)
Step-by-step explanation:
Answer:
D- (8×10×6) + (7×7×4)
Step-by-step explanation:
The formula for volume is Length×Width×Height.
So you have to find the volume for each one individually then add them up together.
(You can give the other person brainliest if u want.)
Hope it Helps!:)
Find the student’s error in solving the following inequality.
31 < –5x + 6
25 < –5x
–5 < x
The student should have added 6 to both sides instead of subtracting it.
The student divided 25/–5 incorrectly.
The student should have switched the direction of the inequality sign to get –5> x for a final answer.
Answer:
The student should have switched the direction of the inequality sign to
get –5 > x for a final answer.
Step-by-step explanation:
When multiplying or dividing an inequality by a negative "flip" the inequality sign
The student should have switched the direction of the inequality sign to
get –5 > x for a final answer.
---------------
Note:
For a more conventional appearance the entire inequality can be flipped to
–5 < x
Kendall is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is
12 meters and the diagonal from one corner to the opposite corner is 15 meters.
How much garland will Kendall need for the length of the ceiling?
Step-by-step explanation:
Find the length of LA
Triangle proportionality
Answer:
15
Step-by-step explanation:
4 x __ = 12
the blank would be 3, once you did it on one side you have to do it on the other side too
5 x 3 = 15
Another way you can do it is by...
[tex]\frac{4}{12}[/tex] = [tex]\frac{5}{x}[/tex]
solve for x (cross multiply)
Answer:
15
Step-by-step explanation:
CO : CL = OR : LA
* substitute the side letters with the given side lengths *
( let AL = x )
4 : 5 = 12 : x or
[tex]\frac{4}{5} =\frac{12}{x}[/tex]
now we solve for x by cross multiplying
4 * x = 4x
12 * 5 = 60
now we have 4x = 60
step 2 divide each side by 4
4x / 4 = x
60 / 4 = 15
we're left with x = 15
hence LA = 15
Which equation has these ordered pairs as solutions?
(1,7), (3,9), (5,11)
Solve the quadratic equation by completing the square.
x^2+2x+5=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Form:
Solution:
Answer:
[tex] x = - 1 + 2i, \: \: - 1 - 2i[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 2x + 5 = 0 \\ \\ {x}^{2} + 2x + 1 + 4 = 0 \\ \\ {x}^{2} + 2x + 1 = - 4 \\ \\ {(x + 1)}^{2} = - 4 \\ \\ (x + 1) = \pm \sqrt{ - 4} \\ \\ x + 1 = \pm 2i \\ \\ x = - 1\pm 2i \\ \\ x = - 1 + 2i, \: \: x = - 1 - 2i \\ \\ x = - 1 + 2i, \: \: - 1 - 2i[/tex]
When rolling a 12-sided number cube, find the probability of
Rolling a 12.
Answer:
umm...1/12 of a chance
Step-by-step explanation:
Are you sure there isnt a graph that goes along with this?
What is the quotient of 1.888\times 10^91.888×10 9 and 5.9 \times 10^65.9×10 6 expressed in scientific notation?
Given:
The expressions are [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex].
To find:
The quotient of [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex] expressed in scientific notation.
Solution:
Quotient of [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex] is:
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=\dfrac{1.888}{5.9}\times \dfrac{10^9}{10^6}[/tex]
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=0.32\times 10^{9-6}[/tex]
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=0.32\times 10^{3}[/tex]
In the scientific notation, the first number is between 1 to 10. So, 0.32 can be written as [tex]\dfrac{3.2}{10}[/tex].
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=\dfrac{3.2}{10}\times 10^{3}[/tex]
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=3.2\times 10^{3-1}[/tex]
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=3.2\times 10^{2}[/tex]
Therefore, the value of the quotient is [tex]3.2\times 10^{2}[/tex].