A.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Common Factors: 1, 2, 3, 4, 6, and 12
-----
B.
Factors of 16: 1, 2, 4, 8, and 16.
Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56
Common Factors: 1, 2, 4, and 8
-----
C.
Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.
Factors of 75: 1 , 3 , 5 , 15 , 25 and 75
Common Factors: 1, 3, 5, and 15.
-----
D.
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Common Factors: 1, 2, 3, 6, 9, and 18.
-----
E.
Whenever finding the greatest common factors of any pair of numbers it is necessary to list all the factors of each number. Then find the number that appears in both!
PLS COMPLETE ALL OF IT!! 50 POINTS!
A. The length of the cord needed to reach corner C is 17.6 m
B. The distance between the electrical outlet and corner N is 14.3 m
A. How do i determine the length of cord needed?The length of the cord needed can be obtained as follow:
Length BC = Opposite = 8 mAngle (θ) = 27°Length of cord =?Sine θ = opposite / hypotenuse
Sine 27 = 8 / Length of cord
Cross multiply
Length of cord × sine 27 = 8
Divide both sides by sine 27
Length of cord = 8 / sine 27
Length of cord = 17.6 m
B. How do i determine the distance between electrical outlet and corner NFirst, we shall determine the length OB. Details below:
Angle (θ) = 27°Length BC = Opposite = 8 mLength OB =?Tan θ = Opposite / Adjacent
Tan 27 = 8 / Length OB
Cross multiply
Length OB × tan 27 = 8
Divide both sides by tan 27
Length OB = 8 / tan 27
Length OB = 15.7 m
Finally, we shall determine the distance between the electrical outlet and corner N. Details below:
Length OB = 15.7 mLength BN = 30 mLength ON = Distance =?Length BN = Length OB + Length ON
30 = 15.7 + Distance
Collect like terms
Distance = 30 - 15.7
Distance = 14.3 m
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33% of what number is 1.45
Answer:
.475
Step-by-step explanation:
This is the Ansewer
Mr. Gupta gave his students a quiz with three questions on it. Let
�
XX represent the number of questions that a randomly chosen student answered correctly. Here is the probability distribution of
�
XX along with summary statistics:
�
=
# correct
X=# correctX, equals, start text, \#, space, c, o, r, r, e, c, t, end text
0
00
1
11
2
22
3
33
�
(
�
)
P(X)P, left parenthesis, X, right parenthesis
0.05
0.050, point, 05
0.20
0.200, point, 20
0.50
0.500, point, 50
0.25
0.250, point, 25
Mean:
�
�
=
1.95
μ
X
=1.95mu, start subscript, X, end subscript, equals, 1, point, 95
Standard deviation:
�
�
≈
0.8
σ
X
≈0.8sigma, start subscript, X, end subscript, approximately equals, 0, point, 8
Mr. Gupta decides to score the tests by giving
10
1010 points for each correct question. He also plans to give every student
5
55 additional bonus points. Let
�
YY represent a random student's score.
What are the mean and standard deviation of
�
YY?
The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.
How to answer the aforementioned questionGiven:
- Each correct question is worth 10 points.
- Every student receives an additional 555 bonus points.
Let's calculate the mean and standard deviation of YY:
Mean of YY:
The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:
μY = μX * 10 + 555
Substituting the value of μX from the given information:
μY = 1.95 * 10 + 555
μY = 19.5 + 555
μY = 574.5
Therefore, the mean score of a random student (YY) is 574.5.
Standard Deviation of YY:
The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:
σY = σX * 10
Substituting the value of σX from the given information:
σY = 0.8 * 10
σY = 8
Therefore, the standard deviation of the random student's score (YY) is 8.
Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions
that a randomly chosen student answered correctly. Here is the probability distribution of X along with
summary statistics:
0
1
2
2.
3
X = # correct
P(X)
0.05
0.20
0.50
0.25
Mean: Hex = 1.95
Standard deviation: Ox 0.8
Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give
every student 5 additional bonus points. Let Y represent a random student's score.
What are the mean and standard deviation of Y?
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A dinner set can be bought for $110000 cash or by a deposit of $37000 and 24 equal monthly installments of $4600 each. How much more will the dining set cost using the hire purchase method of payment?
The difference between the dining set cost using the hire purchase method of payment is $37400.
How to calculate the cost?It should be noted that when the hire purchase is used and there is a deposit of $37000 and 24 equal monthly installments of $4600 each.
The total amount will be:
= $37000 + ($4600 × 24)
= $37000 + $110400
= $147400
On the other hand, the dinner set can be bought for $110000 cash.
Therefore, the difference will be:
= Hire purchase - Cash.
= $147400 - $110000.
= $37400
Therefore, the difference between the dining set cost using the hire purchase method of payment is $37400.
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CAN SOMEONE HELP WITH THIS QUESTION?✨
Answer: \(48^{\circ}\)
Step-by-step explanation:
Coterminal angles differ by integer multiples of \(360^{\circ}\).
So, an angle coterminal with an angle of \(408^{\circ}\) is \(408^{\circ}-360^{\circ}=48^{\circ}\), which lies within the required interval.
Two sides of a right triangle are 8 and 12. Find the missing side length if 8 and 12 are legs.
Answer:
Approximately 14.42
Step-by-step explanation:
All you have to do is use the Pythagorean Theorem! In case you don't remember, it's a² + b² = c², where a and b are legs and c is the hypotenuse.
So...
8² + 12² = c²
64 + 144 = c²
208 = c²
\(\sqrt{208}\) = 14.42
Answer:
14.4
Step-by-step explanation:
I did it in class and got it right!
Find the x value to 3x+9=6 and 3x+9=-6
Answer:
for the first one its x=5
for the second x=−5
one its Step-by-step explanation:
X1 -4, X2 -6
Y1 -4, Y2 4
\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{(-4)}}}{\underset{\textit{\large run}} {\underset{x_2}{-6}-\underset{x_1}{(-4)}}} \implies \cfrac{4 +4}{-6 +4} \implies \cfrac{ 8 }{ -2 } \implies - 4\)
Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
NOTE: Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the 30°-60°-90° Triangle Theorem to find the answer.
The value of the x is 5√3 after we successfully do the application of the 30°-60°-90° Triangle theorem.
What is Triangle theorem?The 30°-60°-90° Triangle Theorem states that in such a triangle, the side opposite the 30° angle is half the length of the hypotenuse, and the side opposite the 60° angle is the product of the length of the hypotenuse and the square root of 3 divided by 2.
Using this theorem, we can write:
y = hypotenuse
Opposite of 30° angle = 5 = hypotenuse/2
Opposite of 60° angle = x = hypotenuse × (√(3)/2)
Solving for the hypotenuse in terms of y from the first equation, we get:
hypotenuse = 5×2 = 10
Substituting this value into the third equation, we get:
x = 10 × (√(3)/2) = 5 × √(3)
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Order these numbers from least to greatest.
Answer: 7.1061 < 7.509 < 7.56 < 7.6
Step-by-step explanation: Brainlest please
Answer:
7.1061, 7.509, 7.56, 7.6
Step-by-step explanation:
7.1 is the least number then 7.5 is the next greatest number then 7.56 is the next greatest number, and then 7.6 is the greatest number.
I also need help with this one so pls help me
Answer:
the answer is 39
Step-by-step explanation:
you take 300 - 271 and you get 39
Answer:
29? or I'm just gullible.
Step-by-step explanation:
It seems like 29 so hopefully it is
I WILL MARK BRAINLIEST
What is the shape of the cross section of the figure that is perpendicular to the rectangular base and passes through the top vertex of the figure?
A rectangular pyramid.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as one of the faces
a triangle that does not have the same dimensions as one of the faces
Answer:
it would be a rectangular pyramid
A student places a block on a table and hangs one mass from the block. The student lets the block go and observes the block move towards the end of the table where the mass was located. The student then places the block on the table and hangs a second, larger mass from the opposite end of the block. The block moves in the opposite direction as the first trial. What does this experiment demonstrate? Use information from the experiment to support your answer.
What the given experiment demonstrates is; The magnitude of acceleration according tp newton's second law of motion
How to identify the magnitude of acceleration?Newton's second law of motion states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.
This law basically establishes a relationship between the net force and the acceleration, which is expressed as;
∑ F = m a
where;
∑F is the sum of the external forces
m the mass of the body
a is the acceleration of the body
The initial situation in the question shows the block and a baking mass. This means that an acceleration is created towards the hanging mass expressed as;
W₁ = M₁ g
F = ma
Thus;
M₁g = m a
a = (M₁g/m)
where;
W₁ is the weight of the body
M₁ is the mass of the body hanging under the acceleration of gravity.
For the second case, there are two masses, with one on each side, and so we have;
∑ F = W₁ - W₂
∑F = (M₁ - M₂) g
Using Newton's second law of motion gives us;
(M₁ - M₂ )g = ma
a = (M₁ - M₂ )mg
Thus, the acceleration depends on the difference of the hanging masses which proves Newton's second law of motion.
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Type the correct answer in the box. Use numbers instead of words.
The number 392,000 is divided by 10.
What is the value of the digit 2 in the quotient?
The value of 2 in the quotient is 200.
What is division?
One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.
The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups.
Let, the number 392,000 is divided by 10.
That means, \(\frac{392000}{10}\)
Here, 392000 is the numerator and 10 is the base.
Simplifying the fraction, we get 39200.
39200 is the quotient.
Here 2 is on the hundredth place.
Therefore, the value of 2 in the quotient is 200.
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consider a two-factor factorial design with three levels for facts a, three levels for factor b, and four replicates in each of the nine cells
a. how many degrees of freedom are there in determining the A variation and the factor B variation
b. how many degrees of freedom are there in dreaming the interaction variation
c. how many degrees of freedom are there in determining the random variation
d. how many degrees of freedom are there in determining the total variation
In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.
What is a two-factorial design?A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.
Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.
From the data given:
a.
In calculating the factor A variation, there are two degrees of freedom.
In determining the variation of factor B, there are two degrees of freedom.
b.
Finding the degree of freedom using the interaction variation, there are four degrees of freedom.
c.
In finding the random variable, there are 9(4-1) = 27 degrees of freedom.
d.
In calculating the total variable, there are 9*4-1 =35 degrees of freedom.
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if the log↓b(a)=0, what is the value of a?
explain why log↓0 (3) and log↓1 (3) do not exist.
Answer:
1. a = 1
2. See explanation below.
Step-by-step explanation:
First Question
Given:
\(\displaystyle \large{\log_b a = 0}\)
Convert to exponential:
\(\displaystyle \large{\log_b a = c \to b^c = a}\)
Thus \(\displaystyle \large{\log_b a = 0 \to b^0 = a}\)
Evaluate:
\(\displaystyle \large{b^0 = a}\)
We know that for every values to power of 0 will always result in 1, excluding 0 to power of 0 itself.
Solution:
\(\displaystyle \large{a = 1}\)
__________________________________________________________
Second Question
Given:
\(\displaystyle \large{log_0 3}\) and \(\displaystyle \large{\log_1 3}\)
Let’s convert to an equation:
\(\displaystyle \large{\log_0 3 = x}\) and \(\displaystyle \large{\log_1 3 = y}\)
The variables represent unknown values of logarithm.
Convert to exponential:
\(\displaystyle \large{0^x = 3}\) and \(\displaystyle \large{1^y = 3}\)
Notice that none of x-values and y-values will satisfy the equations. No matter what real numbers you put in, these equations will always be false.
Hence, no solutions for x and y.
I need help plz help thy.
First answer get brainiest
Hello!
\(\large\boxed{2x - 8 = 7 - 3x \text{ and } 4(x - 1) = x + 5}\)
We can go through each equation to solve:
1.
x + 3 = 4(x - 1) + 2
Distribute the coefficient outside of the parenthesis:
x + 3 = 4(x) + 4(-1) + 2
Simplify:
x + 3 = 4x - 4 + 2
x + 3 = 4x - 2
Subtract x from both sides:
3 = 3x - 2
Add 2 to both sides:
5 = 3x
Divide both sides by 3:
5/3 = x. This is not the answer.
2.
2x - 8 = 7 - 3x
Add 3x to both sides:
5x - 8 = 7
Add 8 to both sides:
5x = 15
Divide both sides by 5:
5x/5 = 15/5
x = 3. This is an answer.
3.
3(x + 2) = 14 - x
Distribute:
3(x) + 3(2) = 14 - x
3x + 6 = 14 - x
Add x to both sides:
4x + 6 = 14
Subtract 6 from both sides:
4x = 8
Divide both sides by 4:
4x/4 = 8/4
x = 2. This is not an answer.
4.
4(x - 1) = x + 5
Distribute:
4x - 4 = x + 5
Subtract x from both sides:
3x - 4 = 5
Add 4 to both sides:
3x = 9
Divide both sides by 3:
3x/3 = 9/3
x = 3. This is an answer.
5.
5 - 2(x + 1) = x
Distribute:
5 - 2x - 2 = x
Simplify:
3 - 2x = x
Add 2x to both sides:
3 = 3x
Divide both sides by 3:
3/3 = 3x/3
x = 1. This is not an answer.
6.
6(x - 4) = 2x
Distribute:
6x - 24 = 2x
Subtract 6x from both sides:
-24 = -4x
Divide both sides by -4:
-24/(-4) = -4x/(-4)
x = 6. This is not an answer.
Answer:
2x - 8 = 7 - 3x
4(x -1) = x + 5
Step-by-step explanation:
2) 2x - 8 = 7 - 3x
2x + 3x - 8 = 7
5x - 8 = 7
5x = 7 + 8
5x = 15
x = 15/5
x = 3
4) 4(x -1) = x + 5
4x - 4 = x + 5
4x - 4 - x = 5
3x - 4 = 5
3x = 5 + 4
3x = 9
x = 9/3
x = 3
A train travels 146 miles in 2 hours. At this rate, how many miles will it travel in 3.5 hours?
Answer:
255.5 miles
Step-by-step explanation:
146 miles - 2 hours
x miles - 3.5 hours
Cross multiply
2x = 146 x 3.5
2x = 511
Divide both sides by 2
x = 511/2
x = 255.5 miles
Answer:
255.5 Miles
Step-by-step explanation:
2 Hours= 146
1 Hour= 73
Half an hour=36.5
3.5 hours= 255.5
Caroline is planting flowers in her garden. She plans her first seven flowers in four minutes. After 12 minutes, she has planted 21 different flowers. Which equation represents this direct variation?
Answer:
21f=12m
Step-by-step explanation:
What is greater 1.0275 or 1.029
Answer:
1.029 is greater than 1.0275
Step-by-step explanation:
Answer:
1.029
Step-by-step explanation:
What is greater 1.0275 or 1.029
.027 < .029
So, 1.029 is greater.
The following shape is a rhombus. Find the measure of each unknown angle:
90
52
38
46
72
Answer:
63 42
53
53
52
Jdjdjdjfh
Properties of a rhombus:Diagonals of a rhombus intersect each other at 90°. Sum of two adjacent angles of a rhombus is 180°.Diagonals bisect opposite angles.
By using property - 1,
m∠APD = m∠DPC = m∠BPC = m∠APB = 90°
Apply triangle sum theorem in ΔAPD,
m∠DAP + m∠APD + m∠DPA = 180°
52° + 90°+ m∠DPA = 180°
m∠DPA = 38°
By using property - 3,
m∠PDC = m∠DPA = 38°
m∠PAB = 52°
By using property - 2,
m∠ADC + m∠DCB = 180°
2(38°) + m∠DCB = 180°
m∠DCB = 104°
Therefore, m∠PCD = m∠PCB = \(\frac{104}{2}\) = 52°
m∠DAP = m∠BAP = 52°
Since, m∠ADC = m∠ABC = 76°
Therefore, mABP = m∠CBP = \(\frac{76}{2}=38^\circ\)
Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.
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Which measurement is equivalent to 47 mL?
47 mL is equivalent to 0.047 L (liters).
What is measurement refers to?Measurement refers to the process of quantifying or determining the amount, size, or degree of something using a standard unit of measurement. It is a way of expressing the quantity or magnitude of a physical property, such as length, mass, volume, time, temperature, etc.
Define the term equivalent?Equivalent means having the same value, function, or meaning as something else. In mathematics, two values are said to be equivalent if they have the same numerical value or satisfy the same equation or inequality. In chemistry, equivalent refers to the amount of a substance that can react with or replace a given amount of another substance in a chemical reaction. In general, equivalent is used to indicate that two things are equal in some way or have the same effect or significance.
1L =1000mL
1mL=1/1000L
Therefore 47 mL=.047 L
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Sabrina has a coupon for $5.50 off her purchase at a clothing store. If she buys a shirt for $12.75, a pair of shorts for $10.20, and a skirt for $12.50, what is the total cost of her purchase?
Answer:
$29.95
Step-by-step explanation:
All the clothing items together costs:
$12.75 + $10.20 + $12.50 = $35.45
However, since she has a coupon for $5.50 off of her purchase, you would subtract $5.50 from $35.45:
$35.45 - $5.50 = $29.95
Therefore, the total cost is $29.95
Answer:
$29.95
Step-by-step explanation:
Add all the things she buys together then subtract 5.50 out from that.
12.75+10.20+12.50=35.45
35.45-5.50
29.95
6m-4+3m+7 simplify term
Answer:
9m +3
Step-by-step explanation:
6m-4+3m+7
Combine like terms
6m+3m -4+7
9m +3
Answer:
−3⋅(5m+7)
Step-by-step explanation:
Find the Borda score for the Mustangs in a competition between Mustangs, Avengers, Falcons and Ravens. The voting results by preference are shown:
MAFR: 3
AMFR: 6
FAMR: 1
RAFM: 4
Answer:MAFR: 3
Step-by-step explanation:
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
A meeting started at 11.35a.m. and
ended at 4.15p.m the same day. How
long did the meeting last?
a) 3hrs 40mins
b) 3hrs 50mins
c) 4hrs 35mins
d) 4hrs 40mins
e) 5hrs 40mins
Answer:
d) 4 h 40 min
Step-by-step explanation:
11:35 am to 4:15 pm =
11:35 am to 12 pm + 12 pm to 4:15 pm
11:35 am to 12 pm = 25 min
12 pm to 4:15 pm = 4h15min
4 h 15 min + 25 min = 4 h 40 min
The mean of the data set is 4. Find the absolute deviation of each of the red data values
The absolute deviation of 0 is
The absolute deviation of 3 is
The absolute deviation of 7 is
The absolute deviation of each of the data values are 4, 1 and 3 respectively.
Absolute deviationThe absolute deviatuon gives the distance of any given value in a dataset to the mean value. The absolute deviation is always positive as it does not consider the side to which the value belongs.
Absolute deviation = |value - mean|
Mean = 4
Absolute deviation of 0 = |0 - 4| = 4
Absolute deviation of 3 = |3 - 4| = 1
Absolute deviation of 7 = |7 - 4| = 3
Hence, The absolute deviation of each of the data values are 4, 1 and 3 respectively.
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A box has a volume of 30 cubic inches. If the base has dimensions of 2 inches by 4 inches, what is the height of the box?
A. 3.75 inches
B. 15 inches
C. 2 inches
D. 240 inches
Answer:
D. 240 inch
Step-by-step explanation:
sana nakatulong
please help I am confused i'll answer one of your questions!! I got it wrong the first time
Answer:
Step-by-step explanation:
22.2
Answer:
22.2
Step-by-step explanation: