Answer:
√294 = A. 7√6
Explanation:
Factor 49 out of 294 . √
49 ( 6 ) Rewrite
49 as 7 ² . √ 7 ² ⋅ 6
Pull terms out from under the radical.
7 √ 6
The area of a square garden is 9ft. How long is each side of the garden
The length of each side of the square garden is 3ft.
What is a square?A square is a quadrilateral with four equal straight sides and four right angles.
To find the area of a square garden, multiply two equal sides.
The area is the space of a two-dimensional line.
To find the length of each side of a square garden, compute the squared root of the area.
Area of the square garden = 9 ft
Length of each side = √9
= 3 feet
Thus, each side of the garden has 3 ft.
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Suppose at age 22 mort starts investing 200$ at the end of each month into a savings plan with an apr of 2.9% and he continues to do so through the next 43 years ( planning to retire at age 65). How much will be in his savigns plan towards retirement? How much of his balance was from the interested loans
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Monthly Payment (PMT) = 200 at the end of each period
interest rate = 2.9% = 0.029/12 = 0.0024166
Period (n) = 43 years x 12 = 516
Using the future value(FV) of an ordinary annuity:
FV = PMT[(1 + r)^n - 1] / r
FV = 200[(1 + 0.0024166)^516 - 1] / 0.0024166
FV = 200[(1.0024166)^516 - 1] / 0.0024166
FV = 200(2.4745372) / 0.0024166
FV = 204,794.93
Amount which will be in saving plan towards retirement = $204,794.93
Interest amount :
$204,794.93 - total monthly deposits
$204,794.93 - (200 * 516)
$204,794.93 - $103,200
= $101,594.93
the mass of the moon
Answer:
The answer is 10^24kg. 0.07346.
0 -x + y = 1
9x – 7y = 1
Answer:
X = 4 and Y = 5
Step-by-step explanation:
Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.
Answer:
The least number of plates and cups she can buy is 24
She will buy 3 packs of plates
She will buy 2 packs of cup
Step-by-step explanation:
Plates = 8 per pack
Cups = 12 per pack
Find the Lowest common multiple of 8 and 12
8 = 16, 24, 32, 40, 48, 56, 64, 72, 80
12 = 24, 36, 48, 60, 72
What is the least number of plates and cups she can buy?
The Lowest common multiple of 8 and 12 is 24
The least number of plates and cups she can buy is 24
How many packs of plates?
Packs of plates = 24 plates / 8 per pack
= 3 packs
She will buy 3 packs of plates
How many packs of cups?
Packs of cups = 24 / 12 per pack
= 2 packs
She will buy 2 packs of cup
help meeeeeeeeeeeeeeee
Answer:
A
Step-by-step explanation:
Which of the following is an example of the atmosphere interacting with the biosphere?
I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
The diameter of a circle is 3 1/2m, what is the radius?
Answer:
1,75 m
Step-by-step explanation:
The radius is by definition half of the diameter and so the half of 3.5 m is 1.75 m
Answer:
1.75m
Step-by-step explanation:
d=3 ½
r=d÷2
so 3 ½ ÷ 2= 1.75
helppppppppp pls
yhghfhcgfvg
Answer:
Length of the side is 10 for a
Each side for b is 3
Step-by-step explanation:
Answer:
50 and the second one is 3
Step-by-step explanation:
to get the length from each side the area divide the area by 2 and to get the length for each side from the total perimeter then divide by 4
find the coordinates of the midpoint of a segment with the given endpoints 3.)P(-12 -9) Q(2,10) help plz
Answer:
(-5, 0.5)
Step-by-step explanation:
-12+2/2= -5
-9+10/2= 0.5
(-5, 0.5)
Solve for y.
C=8(y + k)
Answer:
C/8 -k= y
Step-by-step explanation:
C=8(y + k)
Divide each side by 8
C/8 = y+k
Subtract k from each side
C/8 -k = y+k-k
C/8 -k= y
Answer: y = C /8 − k
Step-by-step explanation:
WILL MARK BRAINLIEST
What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}
a {0, 2, 4}
b {-1, 1, 3}
c {2/3, 4/3, 2}
d {-2/3, 5/3, 4}
Answer:
D.
Step-by-step explanation:
SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY
х+5y = 3
3х - 2y = -8
Convert 10 feet into yards. Round your answer to the nearest hundredth.
Write an expression that is equivalent to three over five (3y + 15). (4 points)
A three over five y + 9
B three over five y + 15
C nine over five y + 9
D nine over five y + 15
HELP ASAP
Answer:
The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ Three over five means [tex]\frac{3}{5}[/tex]
∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)
→ By using the distributive property, multiply each term inside the
bracket by three over 5
∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)
→ Multiply three over five by 3y
∵ [tex]\frac{3}{5}[/tex] (3y) = [tex]\frac{3(3)}{5}[/tex] (y) = [tex]\frac{9}{5}[/tex] y
→ Multiply three over five by 15
∵ [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{3(15)}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9
∴ [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9
∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{9}{5}[/tex] y + 9
∴ The equivalent to three over five (3y + 15) is [tex]\frac{9}{5}[/tex] y + 9
c please give 4 stars :)
Find the slope of the line
(1,-5),(-4,0)
Answer:
-1
Step-by-step explanation:
slope = ΔY / ΔX = 5/(-5)=-1
a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.
Step-by-step explanation:
20n 20394848484848575
The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.
What is Force?Force is the strength applied on an object with mass to change its state of motion.
The mass of the body is 10kg.
The force applied on the object is 40N.
The time for which the force is applied is 0.5 sec.
The impulse on the body is calculated by,
Impulse = Force * Time
Impulse = 40 * 0.5
Impulse = 20 kg-m/s
The final speed of the body is given by
v = u + at
Assuming the initial speed = 0
v = at
Acceleration = Force / mass
Acceleration = 40/10
a = 4 m/s²
v = 4 * 0.5
v = 2 m/s
The distance covered within the time interval is given by,
s = ut + (1/2) at²
s = (1/2) at²
s = (1/2) 4 * 0.5 *0.5
s = 0.5 m
To know more about Force
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A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +2. It then crawls 3.5 centimeters left, 4.8 centimeters right, and 7.9 centimeters left.
Question 1
Part A
Where is the ant on the number line now?
Enter the correct answer in the box.
Answer:
Position = -5
Step-by-step explanation:
The number line is not shown, however the question can still be answered.
Given
Start Point: +2
Left Movement: 3.5cm and 7.9cm
Right Movement: 4.8cm
Required
Determine the Ant's position
To do this, we treat all left movements as negative and all right movements as positive.
So, we have:
Position = 2 - 3.5 - 7.9 + 4.8
Position = -4.6
Since the number line is spaced by 1cm, we have to approximate to the nearest integer.
Position = -5
any luck of help? pls say yess I'll brainlist u!!! give u 5 star just help me answer
Answer:
11. A) x = 0
y = 2x + 5
=> y = 2 * 0 + 5
=> y = 0 + 5 = 5
=> y = 5 (First blank)
x = 1
y = 2x + 5
=> y = 2 * 1 + 5
=> y = 2 + 5 = 7
=> y = 7 (Second blank)
x = 2
y = 2x + 5
=> y = 2 * 2 + 5
=> y = 4 + 5
=> y = 9 (Third blank)
x = 3
y = 2x + 5
=> y = 2 * 3 + 5
=> y = 6 + 5
=> y = 11 (Fourth blank)
x = 4
=> y = 2x + 5
=> y = 2 * 4 + 5
=> y = 8 + 5
=> y = 13 (Fifth blank)
11. B) x = 0
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 0 * 0 + 1
=> y = 0 + 1
=> y = 1 (First blank)
x = 1
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 1 * 1 + 1
=> y = 3 + 1
=> y = 4 (Second blank)
x = 2
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 2 * 2 + 1
=> y = 12 + 1
=> y = 13 (Third blank)
x = 3
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 3 * 3 + 1
=> y = 27 + 1
=> y = 28 (Fourth blank)
x = 4
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 4 * 4 + 1
=> y = 48 + 1
=> y = 49 (Fifth blank)
For more info, here's a picture,
If my answer helped, kindly mark me as the Brainliest!!
Thank You!!
What do the two lines in the graph below have in common?
Answer: Parallel and same slope
Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.
branliest plssss :)
What are the values of x and y?
image attached. Thank you!
Answer:
C
Step-by-step explanation:
We'll have to use trigonometry for this.
First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.
In order to find x, then, we must use sine, which is opposite/hypotenuse. So:
sin(A) = sin(60) = opposite/hypotenuse = x/18
sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:
[(√3)/2] * 18 = 9√3
Already, we can tell that the answer is likely C, but let's find y to make sure.
We will use cosine to find y because cos = adjacent/hypotenuse.
cos(A) = cos(60) = adjacent/hypotenuse = y/18
cos(60) = 0.5, so multiplying both sides by 18 gives:
0.5 * 18 = 9
So, y = 9.
Thus, C is our answer.
~ an aesthetics lover
Answer:
C
Step-by-step explanation:
Using the cosine/ sine ratio in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 9[tex]\sqrt{3}[/tex]
----------------------------------------------------------
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 18 ( divide both sides by 2 )
y = 9
Thus
x = 9[tex]\sqrt{3}[/tex] and y = 9 → C
Help plz and thanks
Answer:
8
Step-by-step explanation:
4x4=16x8=128
Need all these questions answer plz
Step-by-step explanation:
1 result(s) found
x
2
−x−3
Step by Step Solution:
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STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 + 3x2 - 7x - 12
Simplify ——————————————————
x + 4
Checking for a perfect cube :
2.1 x3 + 3x2 - 7x - 12 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 + 3x2 - 7x - 12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x - 12
Group 2: x3 + 3x2
Pull out from each group separately :
Group 1: (7x + 12) • (-1)
Group 2: (x + 3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -3.00
-2 1 -2.00 6.00
-3 1 -3.00 9.00
-4 1 -4.00 0.00 x + 4
-6 1 -6.00 -78.00
-12 1 -12.00 -1224.00
1 1 1.00 -15.00
2 1 2.00 -6.00
3 1 3.00 21.00
4 1 4.00 72.00
6 1 6.00 270.00
12 1 12.00 2064.00
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x3 + 3x2 - 7x - 12
can be divided with x + 4
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : x3 + 3x2 - 7x - 12
("Dividend")
By : x + 4 ("Divisor")
dividend x3 + 3x2 - 7x - 12
- divisor * x2 x3 + 4x2
remainder - x2 - 7x - 12
- divisor * -x1 - x2 - 4x
remainder - 3x - 12
- divisor * -3x0 - 3x - 12
remainder 0
Quotient : x2-x-3 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2-x-3
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
2.6 Cancel out (x+4) which appears on both sides of the fraction line.
Final result :
x2 - x - 3
Terms and topics
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Polynomial root calculator
Polynomial long division
Related links
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Root Finder -- Polynomials Calculator
How to factor five term polynomial - Yahoo Answers
Long Polynomial Division
Polynomial long division - Wikipedia
Polynomial Long Division
Polynomials - Long Division
(-10) + -7)
find each sum?
Answer:
-10 + (-7)= -17
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
-10 plus -7 is -17
5(x – 10) = 30 – 15x
Solve
Answer:
x=4
Step-by-step explanation:
5(x-10) = 30- 15x
5x - 50= 30 - 15x
+15x +15x
20x - 50 = 30
+50 +50
20x = 80
/20 /20
x = 4
Hope this helps!
I need help with this
Answer:
ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure
PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!
Answer:
Step-by-step explanation:
I & III look good
7(y-2)=7y-14 I’m kinda confused
Answer:
Infinitely many solutions
Step-by-step explanation:
Equation:
7(y-2)= 7y - 14
1. Simplify each side
7y - 14 = 7y - 14
Infinitely many solutions
HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP
Answer:
The triangles are lined up with their correct pairs already.
Step-by-step explanation:
The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.
Evaluate the following expression. Express your answer in simplest form. 3/16 + 5/8 × 1/2
Answer:
1/2
Step-by-step explanation:
We have to follow the order of operations. Since there are no parenthesis or exponents, we do multiplication first. to multiple fractions, we multiply the two numerators (top parts), which in this situation would get us 5*1=5. Then, we multiply the two denominators (bottom parts), which would get us 8*2=16. then we put the first result over the second, and we get 5/16. since the two denominators are the same, we don't need to change anything. we can just add the numerator, and get 8/16, which simplifies to 1/2.