Answer:
Slope - intercept form [tex]y = \frac{14}{3} x + 34[/tex]
Step-by-step explanation:
Explanation:-
Given points are ( -9 ,-8 ) and (-6,6)
slope of given two points
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{6-(-8)}{-6-(-9)} = \frac{14}{3}[/tex]
The equation of the straight line passing through the points and having slope
[tex]y - y_{1} = m ( x - x_{1} )[/tex]
[tex]y - (-8) = \frac{14}{3} ( x - (-9) )[/tex]
3 y + 2 4 = 14 x + 126
3 y = 14 x + 126 - 24
3 y = 14 x + 102
[tex]y = \frac{14}{3} + \frac{102}{3}[/tex]
[tex]y = \frac{14}{3} x + 34[/tex]
Slope - intercept form y= mx +C
Slope - intercept form [tex]y = \frac{14}{3} x + 34[/tex]
Which expression represents the prime factorization of 48?
F 3 x 23
G 4 x 9
H 34 x 2
J 24 x 3
Answer: 2^4 x 3 or J
Step-by-step explanation:
To solve 5/7 - 2/n = 1/21
Answer:
-2/n=1/21-5/7
-2/n= -2/3
cross multiple
-2×3=n×-2
-6/-2=-2n/-2
n=3
Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.
Work out the total amount of money in the account at the end of 3 years.
Give your answer to the nearest rupee.
Answer:
There will be 20 914 rupees in the amount at the end of 3 years.
Step-by-step explanation:
The amount of rupes after t years in compound interest is given by:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
In which A(0) is the initial amount and r is the interest rate, as a decimal.
Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.
This means that [tex]A(0) = 20000, r = 0.015[/tex]. So
[tex]A(t) = A(0)(1+r)^{t}[/tex]
[tex]A(t) = 20000(1+0.015)^{t}[/tex]
[tex]A(t) = 20000(1.015)^{t}[/tex]
Work out the total amount of money in the account at the end of 3 years.
This is A(3). So
[tex]A(3) = 20000(1.015)^{3} = 20913.6[/tex]
Rounding to the nearest rupee.
There will be 20 914 rupees in the amount at the end of 3 years.
A city issues 3-digit license plates for motorized scooters. The digits 0-9 are chosen at random by a computer program. What is the probability that a license plate issued meets each set of criteria
The probability of a license plate meeting all the given criteria is approximately 0.0000126, or [tex]1.26 x 10^{-5[/tex].
Given that: A city issues 3-digit license plates and digits are 0 to 9.
Having all different digits:
To calculate this probability, use the same approach as before:
Number of favourable outcomes = 10 × 9 × 8
Total number of possible outcomes = 10 × 10 × 10
Probability = (Number of favourable outcomes) / (Total number of possible outcomes)
Probability = (10 × 9 × 8) / (10 × 10 × 10)
Probability = 720 / 1000
Probability = 0.72 (*)
Having at least one even digit:
So, the license plate must have all odd digits (1, 3, 5, 7, or 9).
Number of favourable outcomes = 5 × 5 × 5
Total number of possible outcomes = 10 × 10 × 10
Probability = (5 × 5 × 5) / (10 × 10 × 10)
Probability = 125 / 1000
Probability = 0.125 (1)
Now, the probability of having at least one even digit is the complement of the above probability:
Probability of having at least one even digit = 1 - 0.125
Probability = 0.875 (2)
Having the digits in ascending or descending order:
Ascending: 012, 123, 234, 345, 456, 567, 678, 789
Descending: 987, 876, 765, 654, 543, 432, 321, 210
Total favourable outcomes = 8 + 8
Total favourable outcomes = 16
Probability = 16 / 1000
Probability = 0.016 (3)
Having a specific digit in a specific position:
Let's say want the digit 7 to be in the first position.
Number of favourable outcomes = 1
Total number of possible outcomes = 10 × 10
Probability = 1 / 100
Probability = 0.01 (4)
Now, to find the probability of all criteria being met simultaneously, multiply the individual probabilities:
Probability of meeting all criteria = Probability (1) × Probability (2) × Probability (3) × Probability (4)× Probability (*)
Probability of meeting all criteria = 0.125 × 0.875 × 0.016 × 0.01 × 0.72
Probability ≈ 0.0000126
Hence, the probability of a license plate meeting all the given criteria is approximately 0.0000126.
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Make x the subject of the formula 7 + x = t
Answer:
x = t-7Step-by-step explanation:
[tex]7 + x = t[/tex]
Move 7 to the right side.
Note : That when a number crosses an equality sign , the sign changes.
[tex]x = t - 7[/tex]
Answer:
x=t-7
Step-by-step explanation:
To make x the subject of the formula 7 + x = t
What we mean is that we want x to stand alone.
So if we want x to stand alone then we will subtract both sides by 7 to make the x stand alone.
-7+7+x=t-7
x = t - 7
So now the final answer becomes;
x = t - 7
Jill spent 12% of her money on a book. After buying the book, she had $120.12. How much money did Jill have before buying the book?
Answer:
Jill had $136.50 before buying the book.
Step-by-step explanation:
Let x be the total amount that Jill had
Then 12% of x is 0.12x
Jill was left with $120.12 after buying the book
Subtracting the cost of book from the total amount will given us the remaining amount.
Which means
[tex]x - 0.12x = 120.12\\0.88x = 120.12\\x = \frac{120.12}{0.88} \\x = 136.50[/tex]
Hence,
Jill had $136.50 before buying the book.
Many factors need to be considered when buying a car, including style, color, gas mileage, and cost. Examine these choices and determine which represents a compound event.
Answer:
the compound event is between the gas mileage and the cost.
Step-by-step explanation:
The better the gas mileage, the less gas you will have to buy overtime
Answer:
choosing among three color choices and between an automatic or manual transmission
Step-by-step explanation:
Please need help on this one
Step-by-step explanation:
Since Angle DAB = 90°,
DB is the diameter of the circle.
Therefore m(Arc DA) + m(Arc AB) = 180°.
=> m(Arc AB) = 180° - 47° = 133°.
PLEASE HELP ME ITS DUE TODAY
Answer:
she earn 4 per hour
Step-by-step explanation:
12 divide by 3 equal 4
20 divide by 5 equal 4
The exponent equivalent of 20 x 20 x 20 is
Answer:
20 to the 5th power
Step-by-step explanation:
Point Q lies on ST , where point S is located at (-2, -6) and point T is located at (5,8).
If SQ: QT = 5: 2, where is point Q on ST ?
Select the point, and then select a place on the coordinate grid to plot point Q.
Answer: (3,4)
(X,Y) (X1- Y1)+ (X2- Y2)
The coordinate of point Q is (3,4).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
Coordinate point Q can be given by interception formula that state
Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂).
x = [m(x₂) + n(x₁)]/(m + n)
And,
y = [m(y₂) + n(y₁)]/(m + n)
So,
x = [5(5) + 2(-2)]/(5 + 2)
x = 3
Similarly
y = [5(8) + 2(-6)]/(5 + 2)
y = 4
Hence "The coordinate of point Q is (3,4)".
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HELP! 85 POINTS IF RIGHT!
A person noted that the angle of elevation to the top of a silo was 65° at a distance of 9 feet from the silo. Using the diagram approximate the height of the silo. *Round to the nearest whole foot*
Answer: Wouldnt the height be 585? Rounded would be 590?
Step-by-step explanation:
I thought you would have to multiply 65 x 9.
Answer:
24.7273 ft or 25 ft
Step-by-step explanation:
A bag contains three red balls and six green balls do you plan to select three bars at random determine the probability of selecting three green balls
Answer:
The answer is likley 6/9
Step-by-step explanation:
Total number of balls = 9
Red: 3/9 chance of being selected
Green: 6/9 chance of being selected
Basically, there is a way higher chance of selecting 3 green balls and an even HIGHER chance of selecting 6!
How many 15/6 s are in 1 and 7/8
Answer:
0.75
Step-by-step explanation:
1+7/8
over 15/6
exact results are 3/4 but decimal form its 0.75 and percentage is 75%
Dustin bought 2/3 pounds of peaches for $3.00.what was the price he paid per pound of peches
Answer:
3
Step-by-step explanation:
if 2/3 was 3/3 then it would be divided into 3 there for 3
HELP NOW PLS FAST!!!!!!!!!!!!
Answer:
(-1, 8)
x = -1 y = 8
Step-by-step explanation:
Can someone help me I will give the brainliest!!
Answer & Step-by-step explanation:
2. 4 times (*) f equals (=) 1/2
Equation: 4f=1/2
4 times (*) 1/8 equals (=) 1/2
f = 1/8
3. 832 divided by (/) n equals (=) 16
Equation: 832/n=16
832 divided by (/) 52 equals (=) 16
n = 52
4. 10 subtracted from (-) x equals (=) 6
Equation: 10-x=6
10 - 4 = 6
x = 4
Hope this helps ;)
Three pizzas are shared equally among 12 people.what fraction of a pizza will each person get
Put in Lowest Terms: 7x + 5 - 6x + 2
Helppp
Answer:
1x+7
Step-by-step explanation:
7x+5-6x+2
7x-6x =1x
5+2=7
1x+7
Answer:
1x + 7
Step-by-step explanation:
hey there!first, we put the x numbers on one and the numbers without the x on one side that will look like 7x-6x + 5 + 2 then we slove them that will look like 1x +7 now we add them but we cant not add them because one number is with x and the other number is not with x. if we can not slove we can write them as 1x + 7
have a wonderful day
0.6(10n + 25) = 10 + 5n
Answer: n=-5
Step-by-step explanation:
distribute: 0.6(10n+25)=10+5n 0.6(10n)= 6n 0.6(25)=15 so then you put the problem together again... 6n+15=10+5n then you cancel out the n variable... 10-15=-5 6n=-5+5n 6n-5n=1n 1n=-5 -5/1 n=-5
8x+1+7x+4 whats the answer.
Hey there!
8x + 1 + 7x + 4
COMBINE your LIKE TERMS
(8x + 7x) + (1 + 4)
8x + 7x = 15x
1 + 4 = 5
Answer: 15x + 5 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
15 + 5x
Step-by-step explanation:
8x + 1 + 7x + 4
All that you need to do is combine like terms which means that you need to put together (either add or subtract) the numbers that are similar...so the numbers with the numbers, and the variables with the variables...
8x + 7x and 1 + 4
15x + 5
And you cannot do anything else because it is in its simplest form.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
5 1/6 + (6 2/7) =?
PLEASE HELP
Answer:
11 and 19/42
Step-by-step explanation:
Hope this helps :)
what is 2x+y=-2 in slope intercept form?
Answer:
y=-2x-2
Step-by-step explanation:
Pls help urgently extra points and mark brainlist it’s easy reading
Answer: banged
Step-by-step explanation:
Answer: It’s banged
Step-by-step explanation:
A bag containing 20 disks numbered 1-20 what is the probability you will pick a disk with the numbers 1,2,3,4,5?
Find the angle of elevation if the building is 653 feet tall and the observer is 150 feet from the building. Round to the nearest tenth of a degree
Answer:
Angle of elevation = 77.1°
Step-by-step explanation:
The formula to solve for angle if elevation is given below as:
tan θ = Opposite/ Adjacent
Where
Opposite = Height of the building = 653 ft
Adjacent = Distance from the building = 150 ft
θ = Angle of Elevation = ?
Hence:
tan θ = 653ft/150ft
θ = arc tan (653ft/150ft)
= 77.063069956°
Approximately to the nearest tenth = 77.1°
What is 8x+6+2+12x simplify
Answer:
20x+8
Step-by-step explanation:
What value of x satisfies this equation?
10(1.5)^3x = 80
Round your answer to the nearest hundredth.
The value of x is ___
Answer:
1.71
Step-by-step explanation:
got it right on my test
The required value of x for the given equation is about 1.71.
Equation:Important information:
The given equation is [tex]10(1.5)^{3x}=80[/tex].Divide both sides by 10.
[tex](1.5)^{3x}=\dfrac{80}{10}[/tex]
[tex](1.5)^{3x}=8[/tex]
Taking log on both sides, we get
[tex]\log (1.5)^{3x}=\log 2^3[/tex]
[tex]3x\log (1.5)=3\log 2[/tex]
Divide both sides by 3log(1.5).
[tex]x=\dfrac{3\log 2}{3\log 1.5}[/tex]
[tex]x=\dfrac{\log 2}{\log 1.5}[/tex]
[tex]x\approx 1.71[/tex]
Therefore, the required value of x for the given equation is about 1.71.
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Paula bought a ski jacket on sale for $6 less than half its original price. She paid $86 for the jacket. What was the original price?
Answer:
$188
Step-by-step explanation:
Considering that the original price was first halved and then subtracted by 6$ to get a value of 88$, you can reverse all the steps made to get 88$. So first, 88$ + 6$, then (88$+6$) * 2 to reverse it from being halved, and your answer is 188$.
i hope this helps
Answer:
$166
Step-by-step explanation:
86 x 2 = 172 - 6 = 166
fh+2g=t. solve for g
Step-by-step explanation:
2g = t -fh
[tex]g = \frac{t - fh}{2} [/tex]