Leonard plans to build a garage on a square plot of land. If one side of the plot is 6g3h5 feet long, express the area of his plot as a monomial
Answer:
[tex]Area= 36g^6h^{10}[/tex]
Step-by-step explanation:
Given
[tex]Length = 6g^3h^5[/tex]
Required
Determine the area as a monomial
This is calculated as:
[tex]Area = Length * Length[/tex]
[tex]Area= 6g^3h^5*6g^3h^5[/tex]
This can be rewritten as:
[tex]Area= 6*6*g^3*g^3*h^5*h^5[/tex]
Apply law of indices
[tex]Area= 36*g^6*h^{10}[/tex]
[tex]Area= 36g^6h^{10}[/tex]
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.
Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg. We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:
d = √(15² + 8²) = √289 = 17
The distance between the given points is 17 units.
Question 2 of 10
If data set A has a larger standard deviation than data set B, data set A is
more spread out than data set B.
A. True
B. False
SUB
It is true that if data set A has a larger standard deviation than data set B, data set A is more spread out than data set B.
How to determine the true statement?The standard deviation is a measure of spread.
And the more the standard deviation, the more the spread
This means that if the dataset A has a larger standard deviation than the dataset B, then the dataset A is more spread out than B
Hence, the given statement is true
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13 (3) = ???
Please help ant get the answer for nothing...
Answer:
39
Step-by-step explanation:
13 x 3?
In the figure, all lines intersect at point W.
What is the value of n?
Please help quick
Answer:
n = 15
Step-by-step explanation:
A straight line equals 180 degrees
Angle SWT is congruent to angle XWV meaning:
SWT (55 degrees) = XWV (55 degrees)
Set up an equation:
3n + 80 + 55 = 180
Combine like terms
3n + 135 = 180
Subtract both sides by 135 to isolate variable n
3n = 45
Divide both sides by 3 to isolate variable n
n = 15
To lease his car, Greg had to pay a $1000 down payment, plus $250 per month. Write an equation that represents the total amount paid. DO NOT PUT ANY SPACES IN YOUR ANSWER.
Answer:
250x+1000
Step-by-step explanation:
The linear equation that represents the total amount paid is 1000 + 250x.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given,
Amount of down payment = $1000
Per month payment = $250
For x number of months = $250x
Total paid = 1000 + 250x
Hence "The linear equation that represents the total amount paid is 1000 + 250x".
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Does anyone know? Thank you!
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25
(section 6.1) Find the length of the small arc formed by the intersection of the unit circle a circle centered at the origin with a radius of 1: x2 + y2 = 1 and the line 2 y=1/2
Answer:
The length of the arc is approximately 2.0944
Step-by-step explanation:
The given parameters are;
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°
The circumference of the circle, C = 2·π·r
∴ C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
∴ l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.0944
The length of the arc is approximately 2.09
The intersection of the unit circle a circleFrom the question, we have the following parameters
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
The line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
Determine the subtended angle
The angle subtended by the arc is expressed as:
θ = 2 × arctan((√3/2)/(1/2))
θ = 120°
The circumference of the circle, C = 2·π·r
C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.09
The length of the arc is approximately 2.09
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Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?
Answer:
2 19/20 minutes
Step-by-step explanation:
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?
The total number of minutes =
Number of minutes spent doing question (A + B + C)
Hence,
Hence, the number of minutes he had left for Question C is calculated as:
20 minutes - ( 11 1/4 + 5 4/5) minutes
20 minutes - ( 11 + 5 ( 1/4 + 4/5))
Lowest common denominator = 20
20 minutes - ( 16 + ( 5 + 16/20)
20 minutes - ( 16 + 21/20) minutes
20 minutes - (16 + 1 1/20) minutes
20 minutes - 17 1/20 minutes
= 2 19/20 minutes
Therefore he had 2 19/20 minutes left for Question C
Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid
Answer:
If my calculations are correct, $5415.75 of interest was paid throughout 6 years.
Step-by-step explanation:
7.25% of 12,450 is 902.625.
If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.
In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.
Hope this helps.
Factorise the exprssions
x^2-ax-bx+ab
[tex](x - a)(x - b)[/tex]
Step-By-Step Explanations:
1) Factor out the common term in the first two terms, then in the last two terms.
[tex]x(x - a) - b(x - a)[/tex]
2) Factor out the common term x - a.
[tex](x - a)(x - b)[/tex]
Therefor, the answer is ( x - a ) ( x - b ).
PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?
Answer:
C
Step-by-step explanation:
Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅
We come up to the conclusion of C
trigonometry please help! work need to be shown
Answer:
x = 5.56
Step-by-step explanation:
Apply trigonometric function to find x
Reference angle = 46°
Hypotenuse = 8
Adjacent length = x
Apply CAH:
Cos 46 = Adj/Hyp
Cos 46 = x/8
8 × Cos 46 = x
5.55726696 = x
x = 5.56 (nearest hundredth)
The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)
Answer:
92 minutes
Step-by-step explanation:
"Roughly" 17,150 miles per hour
(which is about 5 minutes per second)
this means that the space station orbits Earth once every 92 minutes.
hoped that helps you and God bless
Please help! The question and answer choices are attached.
Find the modes of this data set.
Answer:
1, 2
Step-by-step explanation:
the mode is the ones that appear the most in a data set, so since 1 and 2 appear 4 times each, they are the two modes.
HELP QUICK PLEASE I BEG Grace invested $14985 in an account paying an interest rate of 9% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 3 years? (Do not use commas in your
answer)
PLEASE HELP QUICK
would the answer be 36?
Answer:
No, it would be 72
Step-by-step explanation:
In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)
Pls give brainliest
hii please help i’ll give brainliest!!
Answer:
direction
Step-by-step explanation:
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
Which value for p makes the expressions 9p−5 and (3+p)5 equivalent?
a.7
b.6
C.5
D.4
Answer:
5
Step-by-step explanation:
9p-5
9(5)-5
45-5
40
(3+p)5
(3+5)5
(8)5
40
Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)
9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
Additional comment
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
what is a reasonable estimate of the probability that the next tucker family vacation lasts less than 3 days?
Answer:
i cant estimate it but i think 4
A culture of bacteria has an initial population of 330 bacteria
and doubles every 8 hours.
what is the population of bacteria in the culture after 17 hours,
to the nearest whole number?
Answer:
1439.4702≈1439
Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?
Answer:
3600
Step-by-step explanation:
125%=4500
5*25%=4500
25%=900
125%-25%=100%
4500-900=3600
HELP
Write an equation of the line in slope intercept form using the graph below.
What is the missing value in the table below?
Answer:
11
Step-by-step explanation:
A passenger cruise ship from Bahamas takes 48 hours at an average speed of 21 knots to reach its
destination. How much time will the ship take to the port if the captian accelerates the speed to
24 knots?
Answer:
the other person is right hope this cockledodledoes your day
Find the area of the shaded region.
Answer:
B. x^2-10
Step-by-step explanation:
Your are trying to find the shaded region
You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it
Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square
Equation:
(x*x)-(2*5)
x^2-10
The answer is B
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
