Answer:
C
Step-by-step explanation:
what is the greatest common factor of 72 and 54 ?
in other words, what is the biggest number that divides both numbers without remainder ?
I use a prime factor analysis (identify all the prime factors).
72 :
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 2 no
9 ÷ 3 = 3
3 ÷ 3 = 1 finished
72 = 2⁴×3²
54 :
54 ÷ 2 = 27
27 ÷ 2 no
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1 finished
54 = 2×3³
the largest number that can divide them both without remainder is the combination of the prime factors they have in common :
2 × 3² = 18
Find the area of the figure.
(I've already divided the figure)
Answer:
54 yd²
Step-by-step explanation:
A = 10 yd × 3 yd + 6 yd × 4 yd
A = 30 yd² + 24 yd²
A = 54 yd²
Help please, I’m confused about this question.
Answer:
The order, least to greatest, is:
Lemon, Cherry, Grape.
Step-by-step explanation:
Adding all these values up, we get to 1. This means that the smallest values will be the least likely and the highest values will be the most likely.
With the numbers 0.2, 0.16, and 0.64, we can sort these by value.
0.16 is the smallest.
0.2 is the next biggest
and 0.64 is the largest number.
So, the order is Lemon, Cherry, Grape.
Hope this helped!
Please help ASAP math question
The compound amount after 3 years is $2275.22.
In this case, you are given:
Principle = $2,000
rate = 0.0353
time = 3
You need to find A, the compound amount after 3 years.
To do this, you need to plug in the values of P, r and t into the formula and use a calculator:
A=P×e^rt
A=2000×(e)^0.0353×3
A≈2275.22
Therefore, by the compound interest the answer will be $2275.22.
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Simplify: 6x8y ÷ -3x2y2
To simplify 6x8y ÷ -3x2y2, we first need to divide the coefficients and simplify the variables separately.
Dividing 6 and -3 gives us -2.
For the variables, we subtract the exponents of x and divide them, which gives us x^(8-2) or x^6.
We also subtract the exponents of y and divide them, which gives us y^(1-2) or y^-1. To simplify y^-1, we move the variable to the denominator and make it y^1 or simply y.
Therefore, our final answer is -2x^6y.
So, 6x8y ÷ -3x2y2 = -2x^6y
determine the surface area and volume
The surface area of a cylinder is 284m² and it's volume is 366.9m³
What is the surface area and volume of a cylinder?To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:
Surface Area (A) = 2πr² + 2πrhVolume (V) = πr²hFrom the given question, the data are;
radius = 4mheight = 7.3ma. The surface area of the cylinder is;
SA = 2π(4)² + 2π(4)(7.3)
SA = 283.999≈284m²
b. The volume of the cylinder is
v = πr²h
v = π(4)²(7.3)
v = 366.9m³
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someone help pleasee
Help Solve???????????
Answer:
-m^2 - 9m + 3 (the third one)
Step-by-step explanation:
separate the terms and group them with their equivalents (integers:inetgers, variables: variables, etc.) like so:
4m^2 & -5m^2 = -m^2
-8m & -m = -9m
12 & -9 = 3
add them all together to get the expression -m^2-9m+3
Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours how far did Simon drive in all
Answer:
415 miles
Step-by-step explanation:
Start with the speed equation:
speed = distance/time
Now solve the speed equation for distance:
distance = speed × time
Apply the speed equation solved for distance to the two parts of the trip.
4 hours at 55 mph:
distance = 55 mph × 4 hours = 220 miles
3 hours at 65 mph:
distance = 65 mph × 3 hours = 195 miles
Add the two distances to find the total distance:
total distance = 220 miles + 195 miles = 415 miles
Answer: 415 miles
Answer:
415 miles
Step-by-step explanation:
Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.
How far did he drive?
d=rt
For the first part of the trip:
d = 55 * 4 = 220 miles
For the second part of the trip:
d = 65*3 =195 miles
Add the miles together
220+195 = 415 miles
What is the value of n?
Answer:
A. 95°Step-by-step explanation:
see attached
If two angles are complementary then the sum of their measures is _______.
(Answer with a number ONLY)
If the two angles are complementary, then their sum is 90 degrees.
The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
If the two angles are complementary, then their sum is 90 degrees.
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which represents the rotation of ABC toA’B’C
a:(x,y) —> (-x,-y)
b:(x,y) —> (x,-y)
c:(x,y) —> (y, -x)
Answer:
a) A (-2,-2) →A¹ ( 2, 2)
B (-5,-2) →B¹ (5 , 2)
C (-3,-4) →C¹ ( 3 ,4))
b)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-5 , 2)
C (-3,-4) →C¹ ( -3 ,4))
c)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-2 , 5)
C (-3,-4) →C¹ ( -4 ,3))
Step-by-step explanation:
a) Given the (-2,-2) is rotation 180° of counter clock wise then the transformed
to A (-2,-2) → A¹( 2, 2)
B (-5,-2) →B¹ (5 , 2)
C (-3,-4) →C¹ ( 3 ,4))
b)
Reflection about the x-axis
( x, y) → ( x, -y)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-5 , 2)
C (-3,-4) →C¹ ( -3 ,4))
c)
( x, y) → ( y, -x)
Given (x, y) is rotation 90° of clock wise about the origin then the transformed to
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-2 , 5)
C (-3,-4) →C¹ ( -4 ,3))
Fill in the P(X=x) values in the table below give a legitimate probability distribution for the discrete random variable X whose possible values are 0, 3, 4, 5 and 6.
The legitimate probability distribution for the discrete random variable X whose possible values are 0, 3, 4, 5 and 6 is: P(X=0) = 0.2, P(X=3) = 0.2, P(X=4) = 0.3, P(X=5) = 0.2, and P(X=6) = 0.1.
For a probability distribution to be legitimate, the probabilities of all the possible values of a random variable need to add up to 1. So, in this case, the sum of all the probabilities must be equal to 1.
For the given values, we can assign the probability of 0.2 to the values 0 and 3, 0.3 to the value 4 and 0.1 to the value 6, so that the sum of all the probabilities is 1.
Therefore, the legitimate probability distribution for the given discrete random variable X is as follows:
| Value (x) | P(X=x) |
|---|---|
| 0 | 0.2 |
| 3 | 0.2 |
| 4 | 0.3 |
| 5 | 0.2 |
| 6 | 0.1 |
The legitimate probability distribution for the discrete random variable X whose possible values are 0, 3, 4, 5 and 6 is: P(X=0) = 0.2, P(X=3) = 0.2, P(X=4) = 0.3, P(X=5) = 0.2, and P(X=6) = 0.1.
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You stand at zero on a number line and flip a coin. When the coin is heads, you move one unit to the right. When the coin is tails, you move one unit to the left. After each flip, you record your position on the number like. Let g represent your position after the nth flip.
a.Explain why g is a function
b. What does g(5)=3 represent
c. What is the probability that g(3)=0
By using the concept of number line, it can be calculated that
a) g is a function
b) g(5) = 3 means after 5 flips, the person is at '3' on the number line
c) Probability that g(3) = 0 is zero
What is a number line?
All the real numbers, integers, fractions can be pictorially represented with the help of a line. The line is known as number line.
a) Here, g represents the position after the nth flip
After n flips, a person stands at only one position on the number line, not more than one. So every point on the domain has unique image. So g is a function.
b) g(5) = 3 means after 5 flips, the person is at '3' on the number line
c) The person is initially standing at zero. To move to zero position, even number of flips have to be made. But 3 is not an even number. So probability that g(3) = 0 is zero
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Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why?
lim x→[infinity] (4x − ln(x))
Answer:
4Step-by-step explanation:
Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why?
Given the limit of the function
lim x→[infinity] (4x − ln(x))
Step 1: Substitute x = ∞ into the given function first as shown;
lim x→[infinity] (4x − ln(x))
= (4(∞) − ln(∞))
= ∞ - ∞ (indeterminate)
Step 2: Apply l’Hospital’s Rule
\(\lim_{n \to \infty} (4x - lnx)\\ \lim_{n \to \infty} \frac{d}{dx}(4x-lnx) \\ \lim_{n \to \infty} (4 - \frac{1}{x}\\\)
Step 3: Substitute the value of x into the resulting function;
\(\\lim_{n \to \infty} (4 - \frac{1}{x})\\= 4 - 1/ \infty\\= 4 - 0\\= 4\)
Hence the limit of the function is 4. And yes, the L'hospital rule was applicable.
What is equivalent to
16x-12-24x+4
Answer:
-8x - 8
Step-by-step explanation:
You have to combine like term.
So you add 16x + -24x = -8x
And you add -12 + 4 = -8
Your answer would be -8x - 8
I hope this helps!
What is the estimated probability that Aidan's bus will be late every day next
week?
O A. 1 /10 = 10%
OB. 9 /10 = 90%
O c . 0 /10 = 0 %
O'D. 5/10 = 50 %
Answer:
a 1/10 10%
Step-by-step explanation:
1-89. On graph paper, draw the quadrilateral with vertices A(–1, 3), B(4, 3), C(–1, –2), and D(4, –2).
Step-by-step explanation:
this is the answer
in graph
please mark me as the brainliest I really need it
Use PQR below to answer the question that follows:
Answer:
Angle P is congruent to itself due to the reflexive property.
Explanation:
Angle P must be congruent to angle S through corresponding angle theory.
Otherwise, it wouldn't prove ΔPQR is similar to ΔSTR.
Answer:
Angle P is congruent to itself due to the reflexive property.
Step-by-step explanation:
For the following exercises, convert the angle measures to degrees.
9π/5 b) - π/3
(round to two decimal places)
a) The measure of 9π/5 radians in degrees is approximately 324 degrees.
b) The measure of -π/3 radians in degrees is approximately -60 degrees.
To convert the given angle measures from radians to degrees, we can use the formula:
angle in degrees = (angle in radians) × (180/π)
a) To convert 9π/5 radians to degrees, we can substitute the given value in the above formula as:
angle in degrees = (9π/5) × (180/π) ≈ 324 degrees (rounded to two decimal places)
b) To convert -π/3 radians to degrees, we can substitute the given value in the above formula as:
angle in degrees = (-π/3) × (180/π) ≈ -60 degrees (rounded to two decimal places)
In general, we can convert an angle measure from radians to degrees by multiplying it by 180/π. Since π is an irrational number, the conversion factor 180/π is an irrational number as well. Therefore, when we round the result to two decimal places, we are actually approximating the true value of the angle measure.
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c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
2. Which statement correctly describes the
perpendicular bisector construction below?
The statement correctly describes the perpendicular bisector construction below The construction of JK to bisect GH: Option D is the correct answer
What is perpendicular bisector?The term perpendicular bisector refers to the line that divides another line into two equal parts, making an angle of 90 degrees. The term is made up of two words, perpendicular and bisector.
Perpendicular refers to angle 90 degrees, while the bisector refers to dividing into two equal parts.
In the picture, the main line is GH while JK is the line constructed to bisect the main line
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The cost of a cake varies directly with the number of cake bought suppose that the price of three cakes is $12, which direct variation equation represents this situation
The direct variation equation that represents the situation where the price of three cakes is $12 is C = 4N.
How to calculate the equation of the variationIf the cost of a cake varies directly with the number of cakes bought, we can write the direct variation equation as:
C = kN
where C is the cost of the cakes, N is the number of cakes bought, and k is the constant of variation.
To find the value of k, we can use the given information that the price of three cakes is $12.
Substituting N = 3 and C = 12 into the equation, we get:
12 = k * 3
Solving for k, we get:
k = 4
Now we can write the direct variation equation for the situation as:
C = 4N
Therefore, the direct variation equation of the situation is C = 4N.
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The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
Find the probability of drawing a
non-face card or a black card
Answer:
50% black card ( or 26)
76% no face ( or 40)
Please help will give brainliest
And happy Halloween
Answer:
s=0.6
Step-by-step explanation:
-0.2=s+(-0.8)
(switch sides bc- you just have to..)
s+(-0.8)=-0.2
s-0.8=-0.2
(after this you have to add 8 to both sides :D)
s-0.8+0.8=-0.2+0.8
(Then the last step is to simplify uwu)
which would result in the answer being "0.6"
I rlly hope this helped you, god bless you and have a great rest of your day or evening! :D
Kellen is having friends over for dinner and needs to buy chicken. He is looking for the best deal. There are three package options for the chicken.
3 lbs. for $15.39
2 lbs. for $9.19
1 lb. for $7.05
Answer:
But the 2lbs.
Step-by-step explanation:
Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.
You're welcome.
Please help! 100points! A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.
an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)
Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
Given
aₙ = 2(aₙ₋₁ + 4)a₁ = 5First term : 5
Second term : a₂ = 2(a₁ + 4)
a₂ = 2(5 + 4) = 2(9) = 18Third term : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44
Fourth term : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96
Fifth term : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200
Hence, the first 5 terms of the sequence are :
5, 18, 44, 96, 200Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
\(\textsf{Given sequence}: \quad a_n=2(a_{n-1}+4)\)
\(\textsf{Given first term}: \quad a_1=5\)
\(\implies a_1=5\)
\(\implies a_2=2(a_{1}+4)=2(5+4)=2(9)=18\)
\(\implies a_3=2(a_{2}+4)=2(18+4)=2(22)=44\)
\(\implies a_4=2(a_{3}+4)=2(44+4)=2(48)=96\)
\(\implies a_5=2(a_{4}+4)=2(96+4)=2(100)=200\)
bought for 15$ sold for 49.50, what is markup percentage?
Answer:
17.65%
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/financial/markup-calculator.php?cost=49.50&margin=15&action=solve
Please help! I dont get how to get the answer
The value of angle x in the triangle is 15°
How to find the value of x in the triangle?Given: the triangle ABC with equal sides of 9 units.
Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).
Thus, <A = <B = < C = 4x°
Since the sum of angles in a triangle is 180°. We have:
<A + <B + < C = 180°
4x + 4x + 4x = 180°
12x = 180
x = 180/12
x = 15°
Therefore, the value of x is 15°
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A taxi company charges $2.25 for the 1st mile and then $0.20 per mile for each additional mile, or F= $2.25+ $0.20 (m-1) where F is the fare and m is the number of miles. If Juan’s taxi fare is $7.65 ,how many miles did he travel in the taxi?
Answer:
28
Step-by-step explanation:
F=2.25+0.20(m-1)
7.65=2.25+0.20(m-1)
5.4=0.20(m-1)
5.4/0.20=0.20(m-1)/0.20
27=m-1
28=m