The square root of 112 by division method is 4√7
To answer the question, we need to know what square root is
What is the square root of a number?The square root of a number is a number which multiplies itself to give us the given number.
The square root of 112 by division method,Now, to find the square root of 112 by division method, we divide 112 through by successive prime numbers until we can divide no more.
So, 112 ÷ 2 = 56
56 ÷ 2 = 28
28 ÷ 2 = 14
14 ÷ 2 = 7
So, 112 = 2 × 2 × 2 × 2 × 7
112 = 2⁴ × 7
So, √112 = √(2⁴ × 7)
√112 = √2⁴ × √7
√112 = 2² × √7
√112 = 4 × √7
√112 = 4√7
So, square root 112 by division method is 4√7
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If f(x) = x2 is compared to g(x) = 2x2, how would the graphs be different?
does anyone know how to do this?
Answer:
[tex]196 m^{2}[/tex]
Step-by-step explanation:
A square is a shape that which all sides are equal
14 is one side of the square and to find the area of a square/rectangle, you do length*width
14*14=196
The rangers at two park stations spot a signal flare at the same time. Based on the measurements shown in the diagram, what is the distance between park station 1 and the point where the flare was set off? Round to the nearest tenth.
The distance between park station 1 and the point where the flare was set off is 73.9 km.
What is distance?Distance is the length between two points expressed in meters or kilometers.
To calculate the distance between park station 1 and the point where the flare was set off can be calculated using Sine Rule
Formula:
a/sinA = b/sinB....................... Equation 1Where:
a = Distance between park station 1 and the point where the flare was set off.Make a the subject of the equation
a = bsinA/sinB............ Equation 2From the diagram,
Given:
A = 59°B = (180-59-75) = 46°b = 6.2 kmSubstitute these values into equation 2
a = 6.2(sin59°)/(sin46°)a = 73.9 kmHence, the distance between park station 1 and the point where the flare was set off is 73.9 km.
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Which figure repeats in the tessellation shown below?
A
B
C
D
A. Figure A
B. Figure C
C. Figure B
D. Figure D
Answer:
D. Figure
Step-by-step explanation:
Because it go's black cream black cream and D is the only one that shows that
Hope This Helped
The correct figure for repeats in the tessellation shown is shown in
''Option D''.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The tessellation shown in image.
Now, By figure of the tessellation shown we get;
Figure shown in option D is figure for repeats in the tessellation
Thus, The correct figure for repeats in the tessellation shown is shown in
''Option D''.
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Which set of order pairs does not represent a function?
A. {(−2,−6),(0,−4),(1,9),(3,−4)}
B. {(4,3),(−4,−8),(5,3),(−5,4)}
C. {(−6,−2),(6,2),(−7,−4),(−7,−3)}
D. {(0,−4),(−6,9),(7,5),(2,5)}
Find the area of this parallelogram
4 units
4.5 units
6 units
Answer:
it would be 24 or 27
Step-by-step explanation:
because for a parralelogram you multiply the base and height and you gave 3 numbers so it is either 6 times 4 which is 24.or you multiply 6 times 4.5 and get 27.
The lines shown below are perpendicular. If the green line has a slope of 2/5, what is the slope of the red line?
A. - 2/5
B. - 5/2
C. 5/2
D. 2/5
4n^2-15n-25 factor trinomials pls help me on this i would love if you would put the steps too thank you
---Multiply a x c
Quadratic Form: ax^2 + bx + c
4 x -25 = -100
---Find a factor pair of -100 that adds up to -15
-20 x 5 = - 100
-20 + 5 = -15
---Separate the b term into your two factors
4n^2 + 5n - 20n - 25
This can take some trial and error (though there are only two options) because when you factor, you want the inside of the parentheses to be the same. If you look at the next step, (4n + 5) appears twice.
---Factor each binomial
n(4n + 5) - 5 (4n + 5)
---Rewrite
(n - 5)(4n + 5)
What you're really doing here is factoring out the (4n + 5), which leaves you with the terms that you factored out in the previous step. You then combine these terms into one set of parenthesis.
Answer: (n - 5)(4n + 5)
Hope this helps!
Can someone please help me with this?
During elementary school, Malik received a weekly allowance of $16 for completing all of his chores. These days he receives 25% more. What is Malik's weekly allowance now?
A box contains a total of 30 paper clips with colors in the ratio red:white:blue = 2:5:3. Suppose that one paper clip of each color is removed from the box and not replaced. What is the probability that the next paper clip chosen will be blue?
A: 5/27
B: 2/7
C: 8/27
D: 3/10
Answer:
C.8/27
Step-by-step explanation:
an apartment company has 2 buildings. each building has 3 floors. each floor has 16 windows how many windows are there in total
An experiment consists of rolling a number cube. What is the probability of rolling two 4's in a row?
Answer:2/12
Step-by-step explanation:
2/12 is the probability of rolling 2 4's in a row.
Please help!!!
Give clear explanation for questions
Answer:
See below ~
Step-by-step explanation:
Finding the distance of each side length :
AB = √(3 - 0)² + (0 - 4)² = √9 + 16 = √25 = 5BC = √(7 - 3)² + (3 - 0)² = √16 + 9 = 5CD = √(4 - 7)² + (7 - 3)² = √9 + 16 = 5DA = √(4 - 0)² + (7 - 4)² = √16 + 9 = 5All sides are equalHence, it is a squarePerimeter :
4 x side length4 x 520 unitsArea :
(side length)²(5)²25 square unitsAnswer:
Step-by-step explanation:
Pleaseeee helpppp!!
the function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company. the function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company. write a function, h(x), that models the total cost to purchase and ship x pounds of chocolate from the company.
The function for the total cost will be given as h(x) = 5.94x + 2.25.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that:-
The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy companyThe function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company.The function h(x) for total cost will be calculated as:-
h ( x ) = 4.95x + 0.99x + 2.25
h ( x ) = 5.94x + 2.25
Therefore the function for the total cost will be given as h(x) = 5.94x + 2.25.
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The function for the total cost will be given as h(x) = 5.94x + 2.25.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that:-
The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company
The function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company.
The function h(x) for total cost will be calculated as:-
h ( x ) = 4.95x + 0.99x + 2.25
h ( x ) = 5.94x + 2.25
Therefore the function for the total cost will be given as h(x) = 5.94x + 2.25.
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simplify 5^-4/5^4 help me please
Answer:
[tex]5^{-8}[/tex]
Step-by-step explanation:
Exponent law:[tex]\sf \boxed{\dfrac{a^{m}}{a^n}=a^{m-n}}[/tex]
[tex]\sf \dfrac{5^{-4}}{5^{4}}=5^{-4-4}[/tex]
[tex]= 5^{-8}[/tex]
Please help me!! It’s very easy I think
Answer:
Step-by-step explanation:
area=s*s
=3*4
=12cm squared
Perimeter=S+S+S+S
= 4+4+3+3
=14cm
HOPE I HELPED
The probability of pulling a blue marble from a bag is 0.25.
Which bags of marbles are good models for this probability?
Select two that apply.
✓5 yellow, 9 red, 3 blue
6 yellow, 5 red, 10 blue, 12 green, 7 purple
10 yellow, 3 red, 10 blue
O 1 yellow, 2 red, 3 blue, 5 green, 1 purple
Answer:
The second and fourth choices.
Step-by-step explanation:
Probability of getting a blue marble = 0.25 = 1/4.
Therefore the number of blue bags will be 1/4 of the total of marbles.
The second choice has 10 blue marbles out of a total of 40, so this is one.
The 4th bag has 12 marbles of which 3 are blue. 3/12 = 1/4 so this is another answer which is correct.
Answer:
option 2 and 4
Step-by-step explanation:
add up all the values given then divide the number of blue given.
The taylor series about x=5 for a certain function converges
The evaluation of the function [tex]f(x)=e^x[/tex] at a=0 and x=5 by the taylor series will have a value 65.37.
What is taylor's series?We know the fromula of taylor series is given as:
[tex]f(x)=f(a)+\dfrac{f'((a)}{1!}(x-a)+\dfrac{f''(a)}{2!}(x-a)^2+\dfrac{f'''(a)}{3!}(x-a)^3.................[/tex]
Now for the function [tex]f(x)=e^x[/tex] the taylor's series will become.
[tex]f(x)=e^a+e^ax+\dfrac{e^ax^2}{2!}+\dfrac{e^ax^3}{3!}+\dfrac{e^ax^4}{4!}[/tex]
[tex]f(x)=1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+\dfrac{x^4}{4!}[/tex]
So at x=5 the values will become
[tex]f(x)=1+5+12.5+20.83+26.04=65.37[/tex]
hence the evaluation of the function [tex]f(x)=e^x[/tex] at a=0 and x=5 by the taylor series will have a value 65.37.
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URGENT: (TIMED) Determine the equation of the circle graphed below.
Answer:
[tex](x-3)^2 + (y-2)^2 = 16[/tex]
Step-by-step explanation:
This is because the centre is at (3,2) and the radius of the circle is 4 and you square all the terms to find the equation of the circle.
the area of the triangle below is 29.25 square centimeters the height is 6.5. what is the length of the base?
Answer: 9
Step-by-step explanation:
½bh = 29.25
½ × 6.5 × b = 29.25
B= 29.25/ 3.25
The length of the base of the triangle is 9 centimeters.
What is the base length of the triangle?The area of a triangle is simply expressed as half base multiplied by height.
Area A = 1/2 × base length × height
Given the dimensions of the triangle:
Area A = 29.25 square centimeters
Height = 6.5 centimeters
Base length =?
To find the height of the triangle, plug the given values into the above formula and solve for h:
Area A = 1/2 × base length × height
29.25 = 1/2 × base length × 6.5
29.25 = base length × 3.25
Base length = 29.25 / 3.25
Base length = 9 cm.
Therefore, the base length measures 9 centimeters.
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what is the answer for (b)?
Answer:
(b) ∠ADC = 60°Step-by-step explanation:
ΔBOC is isosceles and M is the midpoint of BC
then
∠MOC = ∠BOM = 30°
then
∠BOC = 60°
……………………
OC // AB
then
∠ABO = ∠BOC = 60° (alternate-interior angles)
……………………………………………
In ΔOAB ,we have :
OA = OB and ∠ABO = 60°
Then ,
ΔOAB is an equilateral triangle.
then
∠AOB = 60°
……………………………
We get :
∠AOC = ∠AOB + ∠BOC = 60° + 60° = 120°
……………………………………………………
∠ADC = ∠AOC/2 = 120/2 = 60°
39 and 25 same setup as the problem to the left. Fill in the blanks
Hunh put 4000 in a savings account that earns 7% simple inerest annually after 5 years, how much money will hunh have ?
Answer:
5,400.00
Step-by-step explanation:
hope this helps
Two bags of grass seed cover 1,500 square feet of
ground. If Mitch's front yard is 1,850 square feet and his
back yard is 5,635 square feet, how many bags of
grass seed would he need to buy to completely cover
his front and back yard?
Answer:
10 bags
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST
Which equation is true?
Answer:
C Hope this helps This may be wrong though
Step-by-step explanation:
the perimeter of an equilateral triangle is 6cm find its area
Answer:
√3 cm
or
1.73 cm to the nearest hundredth.
Step-by-step explanation:
Each side must be 2 cm long
Using Heron's formula
Area = √(s(s-a)(s-b)(s-c) where s = semi-perimeter, a , b and c are the 3 side lengths.
So here s = 6/2 = 3 and all the sides = 2 so
Area = √(3(3-2)^3
= √3 cm.
Solve for k
18 = -k + 3
[tex] \Large{\boxed{\sf k = -15}} [/tex]
[tex] \\ [/tex]
Explanation :Given equation:
[tex] \sf 18 = -k + 3 [/tex]
[tex] \\ [/tex]
Subtract 3 from both sides:
[tex] \sf 18 - 3 = -k + 3 - 3 \\ \\ \sf 15 = -k [/tex]
[tex] \\ [/tex]
Divide each side by -1:
[tex] \sf \dfrac{15}{-1} = \dfrac{-k}{-1} \\ \\ \\ \boxed{\boxed{\sf k = -15}} [/tex]
[tex] \\ \\ [/tex]
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Keshawn is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 2 points. What would be Keshawn's test score (out of 40) if he got 6 questions wrong? What would be his score if he got xx questions wrong?
Answer:
28
Step-by-step explanation:
each question is worth 2 points and he missed 6,6 times 2 is 12.therefore you subtract 40 by 12 and get 28 :)
A triangle has a base that is 19 inches long, and a height of 12 inches. What is the area of the triangle?
Answer:
[tex]144[/tex] [tex]inches^2[/tex]
Step-by-step explanation:
Hey there!
In order to find the area of a triangle, you need to:
Multplipy the base by the height
Then you take that product and multiply it by 1/2 (basically divide it by 2)
Then you get your area!
Base: 19
Height: 12
19 x 12
228
228 x 1/2
228/2
114
So the area of this triangle is [tex]144[/tex] [tex]inches^2[/tex]
You flip a coin and use a random numer generator to generate a number 1 to 8. What is the probability that the coin shows tails and is the number 2
probability of getting a tail , PA = 1/2
probability of gettin a number 2 , PB = 1/8
now ,
the probability to get tail and 2 = PA x PB = 1/2 x 1/8 = 1/16.
hence it's the answer.
By : Modern Einstein