Answer:
Step-by-step explanation:
0.25×7+0.05×7+0.10d=2.70
7(0.25+0.05)+0.10d=2.70
7(0.30)+0.10d=2.70
2.10+0.10d=2.70
0.10d=2.70-2.10
0.10d=0.60
d=0.60/0.10=6
Hence D
Question 3 of 10
What is the slope of the line given by the equation below?
y + 2 = -3(x-5)
A. -5
B. 3
C. -3
D. 2
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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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
What is the slope of a line that is perpendicular to the line shown on the graph?
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!
0 -x + y = 1
9x – 7y = 1
Answer:
X = 4 and Y = 5
Step-by-step explanation:
4.(03.06 MC)
Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.
Answer:
y=-3x+1
Step-by-step explanation:
Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana's. Which is the correct way to represent "the opposite of Shana's temperature is equal to Pearl's"? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20
Answer:
Negative (negative 20) = 20Step-by-step explanation:
Given Shana temperature = -20°C
°If Pearls temperature is opposite that of Shana's then Pearls temparature = -(-20) = 20°C
Hence the correct way to represent "the opposite of Shana's temperature is equal to Pearl's
Opposite of shana = -(-20°C)
Pearls temperature = +20°C
Since Opposite of shana = Pearls temperature, hence -(-20°C) = 20°C
Answer:
-(-20 = 20
Step-by-step explanation:
The "opposite" here means we take the negative of -20 C.
So we can write -(-20 which is equal to 20.
So the first option is correct, -(-20 = 20.
hope this helps:)
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)
Help plz and thanks
Answer:
8
Step-by-step explanation:
4x4=16x8=128
how different are polynomials from non-polynomials?
Answer:
The polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The non-polynomial expressions will be the expressions which contain other operations. Explain why the non-polynomial expressions are not polynomials.
which function has zeros of -8,1 and 3?
Answer:
A. y = (x - 3)(x + 8)(x - 1)
Step-by-step explanation:
To find zeros of a polynomial, we set the polynomial equal to zero.
We can eliminate C and D; as we set them equal to 0, we see that a root would be 0 due to x. Since we are not looking for a root of 0, those 2 answer choices are incorrect.
Between A and B, A is correct:
A
0 = (x - 3)(x + 8)(x - 1)
x = -8, 1, 3
B
0 = (x + 1)(x - 8)(x + 3)
x = -3, -1, 8
Answer:
Answer A is the correct one.
Step-by-step explanation:
Which function has zeros of -8,1 and 3? We convert each of these zeros into factors, as follows: (x + 8), (x - 1), (x - 3). Answer A is the correct one.
What is the value of f(x) = 3x -12 for anx = 9
Answer:
15
Step-by-step explanation:
f(x) = 3x -12 for x = 9
f(9) = 3(9) -12
27-12
15
the mass of the moon
Answer:
The answer is 10^24kg. 0.07346.
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
Represent each expression as a multiple of a sum of whole numbers with no common factor. 9 × (2 + 4 + 3) 4 × (4 + 7 + 12) 12 × (3 + 8 + 1) 14 × (9 + 2 + 1) 27 × (2 + 3 + 1) 22 × (4 + 3 + 1) (36 + 96 + 12) arrowRight (126 + 28 + 14) arrowRight (16 + 28 + 48) arrowRight (18 + 36 + 27) arrowRight (54 + 81 + 27) arrowRight (88 + 66 + 22) arrowRight
Answer:
(18 + 36 + 27) = 9 x (2+4+3)
(88 + 66 + 22) = 22 x (4+3+1)
(36 + 96 + 12) = 12 x (3+8+1)
(126 + 28 + 14) = 14 x (9+2+1)
(54 + 81 + 27) = 27 x (2+3+1)
(16 + 28 + 48) = 4 x (4+7+12)
Step-by-step explanation:
The equations in the solution represent each expression as a multiple of a sum of whole numbers with no common factor.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
As per the given question, the required solution would be as:
(18 + 36 + 27) = 9 × (2+4+3)
This equation represents each expression as a multiple of a sum of whole numbers with no common factor.
Similarly further equations like as :
(88 + 66 + 22) = 22 × (4+3+1)
(36 + 96 + 12) = 12 × (3+8+1)
(126 + 28 + 14) = 14 × (9+2+1)
(54 + 81 + 27) = 27 × (2+3+1)
(16 + 28 + 48) = 4 × (4+7+12)
Thus, the above equations represent each expression as a multiple of a sum of whole numbers with no common factor.
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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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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
help meeeeeeeeeeeeeeee
Answer:
A
Step-by-step explanation:
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
What does this mean exactly?
Answer: Choice B [tex]y \le 0[/tex]
========================================================
Explanation:
They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.
The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.
So y is between negative infinity and 0, which means we write [tex]-\infty < y \le 0[/tex]
Converting that to interval notation leads to [tex](-\infty, 0][/tex]. Note the square bracket to include the endpoint.
The compound inequality [tex]-\infty < y \le 0[/tex] simplifies to [tex]y \le 0[/tex]
One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".
Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.
5 divided by 5/6.please help
Answer:
5 divided by 5/6=6
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
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
the solution of equation x × 3=0 is
Answer:
x=0
Step-by-step explanation:
Regroup terms:
3x=0
Divide both sides by 3:
3x divided by 3 = x
0 divided by 3 = 0
x=0
(-10) + -7)
find each sum?
Answer:
-10 + (-7)= -17
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
-10 plus -7 is -17
A computer store pays sales associates $10 per hour
and managers $15 per hour. If the total hours
worked by the sales associates is 100 and the total
hours worked by managers is 50, how much will the
store pay in wages?
Answer:
They pay a total of $1750.
Step-by-step explanation:
You multiply the hours by the pay per hour SO,
Managers= $15 multiplied by the 50 hours they worked ($15 * 50hrs.) and get "$750"
Associates= $10 multipled by 100 hours ($10 * 100) and get "$1000"
Add the total sums ($750 + $1000) and get a total of $1750
Find the slope of the line
(1,-5),(-4,0)
Answer:
-1
Step-by-step explanation:
slope = ΔY / ΔX = 5/(-5)=-1
PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!
Answer:
Step-by-step explanation:
I & III look good
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.