Answers
5.a) Steve - 60=5×12
= 5×3×2×2
5.b) Ian - 60=6×10
= 3×2×5×2.
Discussion - The prime factors reduce to the same numbers in both Steve's and Ian's case.
5.c) Case 1 of 48 = 6×8
= 3×2×2×2×2.
Case 2 of 48 = 12×4
= 2×2×3×2×2.
Related Questions
Please help!! Algebra 1
The value of a home in 2015 was $400,000. Its value has been doubling each decade.
1. If v is the value of the home, in dollars, write an equation for v in terms of d, the number of decades since 2015.
Complete the equation below
v = _______________
Use d as your variable.
Use the ^ symbol to represent an exponent.
For example: 52 should be typed as 5^2
Answers
Answer:
[tex]v = 400000(2^\wedge d)[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Value = \$400000[/tex]
[tex]Rate = doubles[/tex] per decade
Required
Determine the equation of the function
The information given shows that the function is exponential and will be calculated using:
[tex]v = ab^d[/tex]
Where:
a = Initial Value = 400000
b = rate = 2
d = number of decades
v = the current value of the home
So, we have:
[tex]v = 400000* 2^\wedge d[/tex]
[tex]v = 400000(2^\wedge d)[/tex]
The equation that represents the value of the home is v = $400,00(2^d).
What is the equation that represents the value of the home?
The home is appreciating in value. This means that the price of the house is increasing with the passage of time.
The formula that can be used to represent the appreciation is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of yearsv = $400,000(2^d)
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QUICK FOR A BRAINLEIST! awnser the question
Answers
Answer:
Might be B
Step-by-step explanation:
try if you like its 50/50
Do All slope triangles have a ratio of 1/5?
Answers
please answer my question
Answers
Answer:
well 12 x 10 = 120 so 120 x 10 = 1200 and 5 x 5 = 25 so 25 x 10 = 250 and 1200 + 250 would be 1450
y=-2/3x-5 slope and y-intercept
Answers
Answer:
Slope = 2/3
Y-intercept = -5
Step-by-step explanation:
Since the equation is written in y = mx + b format. The m is the slope and b is the y-intercept. In place of m is 2/3 and in place of b is -5. Therefore, the slope is 2/3 and the y-intercept is -5.
hope this helps!
Maybe brainliest?
The equation of line is y = ( -2/3 )x - 5 , where the slope is m = -2/3 and the y intercept is b = -5
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = ( -2/3 )x - 5
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
Slope m = ( -2/3 )
The y-intercept b = -5
Hence , the equation of line is y = ( -2/3 )x - 5
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Use synthetic division to divide the polynomials.
(4a^3 – a² + 4a + 2) /
(a - 3
Answers
Answer:
Step-by-step explanation:
3_| 4 -1 4 2
12 33 111
4 11 37 113
4a^2 + 11a + 37 + 113/(a -3)
What’s the answer???
Answers
Answer:
17
Step-by-step explanation:
Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day. A. Formulate an equation in exponential form that represents the termite situation. (5 points) B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination. (5 points)
Answers
Answer:
A.P(t) = Po (1 + r)^t
P(t) = 1200( 1 + 0.024)^t
B. 1417 termites
Step-by-step explanation:
Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day.
A. Formulate an equation in exponential form that represents the termite situation.
The formula for exponential growth or increase =
P(t) = Po (1 + r)^t
Where:
P(t) = Population growth after time t
P(o) = Initial Population = 1200 termites
r = Growth rate = 2.4% = 0.024
t = Time in days
Hence, the equation in exponential form that represents the termite situation is given as:
P(t) = 1200( 1 + 0.024)^t
B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination.
The time of extermination = 1 week
1 week = 7 days
Hence,
t = 7 days
P(t) = Po (1 + r)^t
P(7) = 1200( 1 + 0.024)⁷
P(7) = 1200(1.024)⁷
P(7) = 1416.7099449 termites
Approximately
= 1417 termites
Find the missing side lengths, leave your answers as radicals in the simplest form. Show work please
Answers
Answer:
m and n are both equal to 10
Step-by-step explanation:
Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45. This tells us that the sides m and n are of equal length.
With that in mind, we can simply use the Pythagorean theorem to find their values:
m² + n² = (10√2)²
given that m = n, then:
m² + m² = (10√2)²
2m² = (10√2)²
2m² = 100 × 2
2m² = 200
m² = 100
m = 10
So both m and n are equal to 10.
2a)Please choose how the triangles in part 1 above are similar.
1)SAS
2)SSS
3)ASA
4)AA
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Answer:
1) SAS
2) AA
3) SSS
Step-by-step explanation:
is 144 a natural number yes or no
Answers
Answer:
is 144 a natural number yes or no
Yes
I'm not sure
10x -20 plus 7x plus 4 equals 180 what is x
Answers
x is approximately 11.5
Explanation:
10x - 20 + 7x + 4 = 180
17x - 16 = 180
17x = 196
x is approximately 11.5
The answer choices are the bottom ones
Answers
Answer:
b) x = 31
Step-by-step explanation:
It's an isosceles triangle, meaning the base angles are congruent as well.
Find the length of arc CD. Use 3.14 for pi. Round to the nearest tenth.
Answers
9.2
.......................
The length of arc is 9.1506 cm.
What is Length of Arc?The length of an arc refers to the distance along the curve of a circle between two points on that curve. It is a measure of the portion of the circumference of a circle or any other curved shape.
The Formula for Length of Arc is θ/360 x 2πr.
We have,
Radius = 7.9 cm
Angle = 66.4 degree
Now, length of Arc
= θ/360 x 2πr
= 66.4 / 360 x 2 x 3.14 x 7.9
= 0.18444 x 2 x3.14 x 7.9
= 9.1506 cm
Thus, the length of arc is 9.1506 cm.
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Can someone please help me these are the questions. : Evaluate each numerical expression. Apply
operations you learned.
1.) 8 + 12 = 4
2). (3) 6 - 7
4.) 24 : 3 (4)
3.) (2) 3 + 4 (6)
5.) (5) 32
6.) 4 + 62 = 9
7.) 10 = 5 + 3 (7)
8.) 12 + (8 + 2)
Answers
A helicopter hovers 1500 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 32 degress. How far off the coast, to the nearest foot, is the island?
Answers
Answer:
937 feet
Step-by-step explanation:
tan32 = x/1500
0.625 = x/1500
0.625*1500 = 937.304
No growth industries pays out all of its earnings as dividends. It will pay its next four dollars per share dividend in the year. The discount rate is 15%. What is the price Earnings ratio of the company?
Answers
Answer:
the price earning ratio is 6.67
Step-by-step explanation:
The computation of the price earning per share is shown below:
As we know that
Price earning ratio = Current price ÷ earning per share
= ($4 ÷ 0.15) ÷ ($4)
= 6.67
Hence, the price earning ratio is 6.67
It shows the relationship between the current price and the earning per share
what is 5/6 x 3/5 simplified ??
Answers
Answer:
1/2 or 0.5 is the correct answer of this question
Write the first 6 terms of the arithmetic sequence whose first term is 8 and has a common difference of 2
Answers
Answer: The first 6 terms are = 8, 10, 12,14,16,18
Step-by-step explanation:
The NTH term of an Arithmetic Sequence is given as
an = a1 + (n - 1 ) d
where a1 = First term given as 8 and
d= common difference given as 2
Therefore We have that
the first term
an = a1 + (n - 1 ) d = 8+(1-1) 2
a1= 8
second term=
an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2
= 8+ 2(1) = 10
3rd term
an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2
= 8+ 2(2)= 8 + 4=12
4th term
an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2
= 8+ 2(3)= 8+6=14
5th term
an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2
= 8+ 2(4)=8+ 8=16
6th term
an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2
= 8+ 2(5)=8 +10 =18
On Monday, Kylee rode 5 miles on a bike. On Tuesday, he rode 11 times more than he did Monday. On Wednesday, he rode an additional 12 miles.
How many miles has Kylee ridden so far this week?
Answers
Step-by-step explanation:
67 miles
A rectangular prism that measures 7 centimeters by 5 centimeters by 12 centimeters.
Answers
Answer:
420 centimeters
Step-by-step explanation:
12 x 7 x 5 = 420
Savings account A has $500 and pays 4% interest yearly. Savings account B has $600
and pays 2.5% interest yearly. The savings account that earned the most interest after
one year is savings account
Answer here
SUBMIT
Answers
A is the answer
Answer:
its $520
Step-by-step explanation:
Evaluate the function at the given values.
f(x) = 6x - 4
a. f(9)
b.10-
c. f)
a. f(9)
Answers
Answer:
f(9) = 50
f(-10) = -64
Step-by-step explanation:
Given the function
f(x) = 6x - 4
f(9) = 6(9)-4
f(9) = 54-4
f(9) = 50
b)f(-10)
f(-10) = 6(-10) - 4
f(-10) = -60 -4
f(-10) = -64
Convert 203 yards into meters.
Hint: 1 yard=0.91 meters
Answers
Answer: 184.73 meters
Step-by-step explanation:
1 yard = 0.91 meters
Given
There are 203 yards
Calculate
203 yards × 0.91 meters/yard = 184.73 meters
Hope this helps!! :)
Please let me know if you have any questions
HELP PLEASE (i need the answer and maybe an explanation but all i really want is an answer please)
Answers
This is because 2(2) is 4 and 2(4) is 8. You basically find the pattern between x and y. For these numbers you take x and multiply it by 2.
Billy Bob bench presses 200 lbs. He wants to bench more than 300 lbs. If he improves by 20 lbs a month how long will it take him to bench over 300 lbs.
Write your answer like x>3 make sure you use the right sign.
WILL GIVE BRAINLIEST
Answers
it will take him 5 months
Find how much more he wants to bench:
300-200 = 100
He needs to increase by at least 100 pounds.
So 20 pounds per month has to be greater than 100 pounds.
20x > 100
Divide both sides by 20:
X > 5 months
can somebody help me please.
Answers
Answer:
x intercept = (0.3, 0)
y intercept = (0, 0.4)
Answer:
x: (0.3,0)
y: (0,0.4)
PLEASE HELP WILL GIVE BRAINLIEST OR THANKS
Answers
Answer:
(-2,5)
Step-by-step explanation:
D must be the same height (y) as A so y= 5
D must have the same x as C so x = -2
so D = (-2,5)
13. Find AC. PLEASEE I NEED HELP!!!!!
Answers
PLZ HELP I GIVE U BRAINLIEST
Answers
Answer:
4 wholes 3 out of 8
Step-by-step explanation:
...........
Step-by-step explanation:
convert mixed to improper fraction.
5/3×21/8
35/8