Answer:
D) a8 = 35 - (n - 1)(3)
Step-by-step explanation:
Write the number below in expanded notation. 14,422 A. 10,000 + 400 + 400 + 20 + 2 B. 10,000 + 4,000 + 400 + 20 + 2 C. 1,000 + 4,000 + 4 + 20 + 2 D. 1,000 + 400 + 40 + 2 + 2
Let's begin by listing out the information given to us:
\(14,422\)Expanded notation is a form of writing in which the value of each digit; it arranges the digit in their values of tens, hundreds, tens etc.
\(\begin{gathered} 14,422\Rightarrow1\cdot10,000+4\cdot1,000+4\cdot100+2\cdot10+2\cdot1 \\ \Rightarrow10,000+4,000+400+20+2 \end{gathered}\)Hence, option B is the correct answer
What is the relationship between period and frequency? (both in words and mathematically)
The relationship between period and frequency is that they are inversely proportional to each other. In simpler terms, as the period of a wave or oscillation increases, its frequency decreases, and vice versa.
Mathematically, this relationship can be expressed using the formula: Frequency (f) = 1 / Period (T). Likewise, Period (T) = 1 / Frequency (f).To understand this relationship, let's first define the terms. Period (T) refers to the time it takes for one complete cycle of a wave or oscillation to occur. On the other hand, frequency (f) is the number of complete cycles that occur within a specific time interval, usually one second, and is measured in Hertz (Hz).
When a wave or oscillation has a longer period, it takes more time to complete one cycle, which means fewer cycles can occur within a given time frame. Consequently, the frequency is lower. Conversely, when the period is shorter, more cycles can fit within the same time frame, resulting in a higher frequency.
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Select all the correct answers.
The distance from Earth to the moon is 384,400 kilometers. What is this distance expressed in scientific notation?
3.844E5 kilometers
3.844 × 105 kilometers
3.844E-5 kilometers
3.844E-6 kilometers
3.844 × 106 kilometers
3.844E6 kilometers
3.844 × 10-6 kilometers
3.844 × 10-5 kilometers
Answer:
3.844 x 10^5
3.844E-5
3.844 × 10-5 kilometers
Step-by-step explanation:
Write the sentence as an equation and solve. Twice the difference between 5 times a number and 6 is 18. please help!
how to solve 5/6=v+2/7
Answer:
5/6 = v + 2/7
Step-by-step explanation:
5/6 = v + 2/7
23/42 - v = 0
5/6 = 1/7 (7 v + 2)
Answer:
23/42 = v
Step-by-step explanation:
5/6=v+2/7
Multiply each side by the common denominator, 42
42( 5/6=v+2/7)
35 = 42v + 12
Subtract 12 from each side
35-12 = 42v
23 = 42 v
Divide each side by 42
23/42 = v
please help me!!! What is the sign of (-2)^4 x (-3)^7
Choose 1 answer:
A) Positive
B) Negative
C) Zero
Answer:
\(( - 2) ^{4} \times ( - 3) ^{7} \\ = 16 \times 27 \\ = positive\)
What number is 30% of 20? Numerical Answers Expected! Answer for Blank 1:
Answer:
6 should be right!!
Answer:
30% of 20
(30÷100)20
6
therefore the ans is 6
on a circle of radious 9 feet, what angle would subtend an arc of length 4 feet
An angle of approximately 25.69 degrees would subtend an arc of length 4 feet on a circle of radius 9 feet.
The formula to calculate the length of an arc is given by L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc in radians.
In this case, we know that the radius is 9 feet and the length of the arc is 4 feet. Therefore, we can rearrange the formula to solve for θ:
θ = L / r = 4 / 9
This gives us the angle subtended by the arc in radians. To convert this to degrees, we can multiply by 180/π:
θ = (4/9) * (180/π) ≈ 25.69 degrees
Therefore, an angle of approximately 25.69 degrees would subtend an arc of length 4 feet on a circle of radius 9 feet.
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a variable measured with discrete data means that the data identify participants as belonging to
A variable measured with discrete data means that the data identify participants as belonging to one of a finite number of categories or groups. Discrete data can only take on certain values and cannot be subdivided any further. For example, the number of siblings a person has is a discrete variable as it can only take on whole numbers (0, 1, 2, 3, etc.).
In contrast, continuous data can take on any value within a range. For example, a person's height is a continuous variable as it can be measured with decimals (5'7.5", 6'2", etc.).
It is important to distinguish between discrete and continuous variables as they require different methods of analysis and interpretation. Understanding the nature of the data is crucial in ensuring accurate and meaningful results in research studies.
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7 yd 2 ft= ___ ft
7 yards 2 feet equals ? feet
alfred and bonnie play a game in which they take turns tossing a fair coin. the winner of a game is the first person to obtain a head. alfred and bonnie play this game several times with the stipulation that the loser of a game goes first in the next game. suppose that alfred goes first in the first game, and that the probability that he wins the sixth game is m n , where m and n are relatively prime positive integers. what are the last three digits of m n ? (1993,
So, the last three digits of m*n is 001.
Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.
Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:
p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2
Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.
Therefore, the last three digits of m*n is 001.
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Use the translation (x, y) = (x + 5, y - 9) for questions a-e.
a. What is the image of A (-6, 3)?
b. What is the image of (4,8)?
c. What is the image of (5.-3)?
d. What is the image of A from #1, which would be called A"?
e. What is the pre-image of D' (12. 7)? (x - 5, y + 9)
Help please!!
Answer: it’s a I have the same question but I have to solve and they already gave me the answer
Step-by-step explanation:
which expressions are equivalent to 1/4 -2/3-(1/2+5/6)
Answer:
Fraction Equivalent Fractions
4/5 8/10 12/15
1/6 2/12 3/18
5/6 10/12 15/18
1/7 2/14 3/21
Step-by-step explanation:
We say that 1/2 is equivalent to 2/4. Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number. This number should be such that the numerators will be equal after the multiplication.
Step-by-step explanation:
The expression 1/4 - 2/3 - (1/2 + 5/6) is equivalent to -7/4.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
The given expression is,
1/4 - 2/3 - (1/2 + 5/6)
To solve the expression, first simplify bracket term,
1/4 - 2/3 - (8/6)
(3 - 8)/12 - 8/6
-5/12 - 8/6
-21/12
-7/4
The simplified form of the expression 1/4 - 2/3 - (1/2 + 5/6) is -7/4.
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PLS HELP ME, YOU’LL SAVE ME
B: 5 v
B: 0.5 v
A: 100 v
A: 10 v
B: 50 v
A: 1 v
Answer:
A: 10v
B: 5v
Step-by-step explanation:
A: Smallest increment can be found by doing 100/ number of tick marks to 100/ (so 100/10)
B: Uncertainty is smallest increment /2 or 10/2
Answer:
A: 10v
B: 5v
Step-by-step explanation: Hoped this helped :3
Find the AAS postulate?
Answer:
<T ≅ <A
Step-by-step explanation:
The AAS Postulate states that two triangles are congruent of the two angles and a mon-included side of one triangle are congruent to the corresponding two angles and mon-included side of the other.
From the diagram given, we know that
Non-included side UC in ∆TUC is congruent to non-included side UC in ∆AUC.
Also, we know that <U in ∆TUC is congruent to <U in ∆AUC (vertical angles are congruent)
We are not given if <T is congruent to <A or not. Therefore, the additional information that is required to know that both triangles are congruent by the AAS Postulate would be:
<T ≅ <A
Omar is hiring a painting company to paint the interior of his house. The table represents prices the painting company quoted Omar.
Write a two-variable linear equation to represent the total cost, c, given the square feet, s, of the house.
A: c=2.25s+1347.85
B: c=2.25s+2847.85
C: c=2.25s+4047.85
D: c=2.25s+7654.60
The linear equation to represent the total cost c = 2.25s + 1,347.85.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Using slope
slope= ( 5847. 75 - 4074 . 85)/( 2000- 1200)
slope= 1800 - 800
slope= 2.25
and, slope- intercept form
c - 4047.85 = 2.25 ( s- 1200)
c - 4047.85 = 2.25s - 2700
c = 2.25s - 2700 + 4047.85
c = 2.25s + 1,347.85
Hence, linear equation to represent the total cost c = 2.25s + 1,347.85.
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Movies are on sale for 1/4 , the original price is $20 , what is the sale price
Answer:
$5
Step-by-step explanation:
its 1/4 of 20 which is 5
if 4b is equal to 3 what is b
Answer:
4b=3
b= 3/4
b=0.75
...........................
Construct a 90% confidence interval for the population mean you. Assume the population has a normal distribution a sample of 15 randomly selected math majors had mean grade point average 2.86 with a standard deviation of 0.78
The 90% confidence interval is: (2.51, 3.22)
Confidence interval :It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.
We have the following information :
Number of students randomly selected, n = 15.Sample mean, x(bar) = 2.86Sample standard deviation, s = 0.78Degree of confidence, c = 90% or 0.90The level of significance is calculated as:
\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)
The degrees of freedom for the case is:
df = n - 1
df = 15 - 1
df = 14
The 90% confidence interval is calculated as:
=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)
= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)
= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)
= 2.86 ± 0.3547
= (2.51, 3.22)
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no one is helping me please help me due today. determine whether the quadrilateral is a parallelogram by using the indicated method
Answer: ( − 5 , − 6 ) , ( 5 , 2 ) , ( 4 , − 4 ) , ( − 6 , − 12 )
The initial and terminal points of RS are given below. Write the vector as a linear combination of standard unit vectors i and j.
R(11,-4) and S(10, 3)
The vector as a linear combination of standard unit vectors i and j is,
⇒ - i + 7j
We have to given that;
The initial and terminal points of RS are given below,
⇒ R(11, -4) and S(10, 3)
Hence, We can write as;
R = 11i - 4j
S = 10i + 3j
Hence, The vector as a linear combination of standard unit vectors i and j is,
⇒ RS = S - R
= (10i + 3j) - (11i - 4j)
= - i + 7j
Thus, The vector as a linear combination of standard unit vectors i and j is,
⇒ - i + 7j
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Approximately how long does it take a sample of francium-223 to decay by 50%?
A. 80 minutes
B. 100 minutes
C. 20 minutes
D. 40 minutes
By reading off the graph as shown in the question, we can see that the time that is required is 20 minutes.
What is the half life?The half life is the time that it taken for only half or 50% of the isotopes that were originally present in the sample to remain. We know that the half life does differ by the kind of sample that is used.
In this case, we want to determine how long does it take a sample of francium-223 to decay by 50%. This could easily be done from the graph of the decay as shown in the question.
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A store bought jeans at a cost of $40 a pair. Select all the statements that are true.
The true statements are,
⇒ If the price is marked up 25%, the selling price will be $50.
⇒ If the selling price is $70, the price is marked up 75%.
What is the Cost price?
Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a service.
Given that:-
A Store bought jeans at a cost of $40 a pair.
If the price is marked up 25%, the selling price will be $50
⇒ 40 x 25 / 100 = 10
Selling Price = $50
Hence, This is true statement.
And, If the selling price is $70, the price is marked up 75%.
P = 70 - 40 = $30
40 x 75 / 100 = $30
Hence, This statement is true.
Therefore, the true statements are;
⇒ If the price is marked up 25%, the selling price will be $50.
⇒ If the selling price is $70, the price is marked up 75%.
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The complete question is this,
A store bought jeans at a cost of $40 a pair. Select all the statements that are true.
A. If the price is marked up 20%, the selling price will be $60.
B. If the price is marked up 25%, the selling price will be $50.
C. If the selling price is $65, the price is marked up 50%.
D. If the selling price is $70, the price is marked up 75%.
(complete solution)
can someone help me here please thank you everyone! lovelots
Answer:
The expression a2+a4+a6+a8+......a20 can be written in sigma notation as:
∑ a(2n) where n = 1 to 10
To expand this summation, we can substitute in the values of n and evaluate the series:
a(21) + a(22) + a(23) + ... + a(210) = a2 + a4 + a6 + ... + a20
The expression (-1) + 2 +(-3) + 4 + (-5) ....+(-25) can be written in sigma notation as:
∑ (-1)^n*n where n = 1 to 25
To expand this summation, we can substitute in the values of n and evaluate the series:
(-1)^11 + (-1)^22 + (-1)^33 + ... + (-1)^2525 = -1 + 2 - 3 + 4 - 5 +... - 25
Note that the series (-1)^n*n is an alternating series, where the signs of the terms alternate between positive and negative. This series has no closed form solution, but we can evaluate them by adding and subtracting each term.
Answer:
\(\displaystyle \sum_{n=1}^{10} a_{(2n)}\)
\(\displaystyle \sum_{n=1}^{25} n (-1)^{n}\)
Step-by-step explanation:
Part ISigma notation means the sum of the series.
Given series:
a₂ + a₄ + a₆ + a₈ + ... + a₂₀Therefore:
First term is a₂Second term is a₄Third term is a₆So each term is a₂ₙ
Therefore, the expression in sigma notation is:
\(\displaystyle \sum_{n=1}^{10}a_{(2n)}\)
Given series:
(-1) + 2 + (-3) + 4 + (-5) + ... + (-25)The absolute value of each term of the series is n.
The signs of each term alternate between negative and positive.
Therefore, the expression in sigma notation is:
\(\displaystyle \sum_{n=1}^{25} n (-1)^{n}\)
Part IIThe expansion of each summation has been given in Part I.
However, the full expansions are:
\(\displaystyle \sum_{n=1}^{10} a_{(2n)}=a_2+a_4+a_6+a_8+a_{10}+a_{12}+a_{14}+a_{16}+a_{18}+a_{20}\)
\(\displaystyle \sum_{n=1}^{25} n (-1)^{n}=(-1)+2+(-3)+4+(-5)+6+(-7)+8+(-9)+10+(-11)+12+\\\phantom{wwwwwwww}(-13)+14+(-15)+16+(-17)+18+(-19)+20+(-21)+22+\\\\\phantom{wwwwwwww}(-23)+24+(-25)\)
Part IIIThe evaluation of each series is:
\(\displaystyle \sum_{n=1}^{10} a_{(2n)}=a_2+a_4+a_6+a_8+a_{10}+a_{12}+a_{14}+a_{16}+a_{18}+a_{20}\)
\(\displaystyle \sum_{n=1}^{25} n (-1)^{n}=-13\)
Write the standard form of the equation of a line passing through the points (0,-2) and (1, -5).
A. 3x + y + 2 = 0
B. 4x - y - 2 = 0
C. 3x + y - 2 = 0
D. 4x - y + 2 = 0
Answer:
3x + y + 2 = 0
Step-by-step explanation:
ance
Use the graph to complete the statements.
The car gets
miles to the gallon.
After the car has traveled
miles, 2
gallons of gas have been consumed.
Answer:
Where’s the graph?
Step-by-step explanation:
On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.
A total of ______ people visited the natural history museum Friday night.
36
133
750
1500
A total of 750 people visited the natural history museum on Friday night.
The total number of people who visited the natural history museum on Friday night can be calculated by dividing the number of people who saw the dinosaur exhibit (165) by the percentage of visitors who saw the exhibit (22%).
To do this, we can use the following formula:
Total number of visitors = Number of visitors who saw the exhibit ÷ Percentage of visitors who saw the exhibit
Substituting the given values, we get:
Total number of visitors = 165 ÷ 0.22 = 750
Therefore, a total of 750 people visited the natural history museum on Friday night.
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The base of the solid is square, one of whose sides is the interval [0, 2] along the the x-axis. The cross sections perpendicular to the x-axis are rectangles of height f(x) 8x² . Compute the volume of the solid. (Use symbolic notation and fractions where needed:)
The volume of the solid is 64/3 cubic units.
To compute the volume of the solid, we integrate the area of the cross sections over the interval [0, 2] along the x-axis. The area of each cross section is given by the product of the height f(x) = 8x² and the width dx. Hence, we have:
V = ∫[0,2] f(x) dx
= ∫[0,2] 8x² dx
= [8(x³/3)] [0,2]
= 8(2³/3 - 0³/3)
= 8(8/3)
= 64/3
Therefore, the volume of the solid is 64/3 cubic units.
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How did the Buddha achieve enlightenment? *
He fasted
He meditated
He suffered
He studied with gurus
Answer:
B) he meditated
Step-by-step explanation:
according to BBC
One day, seated beneath the Bodhi tree (the tree of awakening) Siddhartha became deeply absorbed in meditation, and reflected on his experience of life, determined to penetrate its truth.
He finally achieved Enlightenment and became the Buddha. The Mahabodhi Temple at the site of Buddha's enlightenment, is now a pilgrimage
Which of the following equations is equivalent to the equation below? 2 −5
= x
1
a) log x
(−5)=2 b) log −5
( x
1
)=2 c) log −5
(2)= x
1
d) log x
(2)=−5 e) log 2
(x)=5 f) None of the above.
The correct option that is equivalent equation `2 −5= x/1` is given in option (d): `log x(2) = −5`. Hence, the correct option is (d).
The given equation is `2 −5 = x/1`.
Thus, we need to find an equivalent equation to the given equation from the given options: 2 −5= x/1.
Option (a): `log x(-5) = 2
`If we convert the given equation to logarithmic form, we get,
`log(-5)(x) = 2` which is not equivalent to the given equation.
Therefore, option (a) is not the correct answer.
Option (b): `log −5(x1) = 2`
If we convert the given equation to logarithmic form, we get,
`log(x/1)(-5) = 2`.
This is not equivalent to the given equation.
Therefore, option (b) is not the correct answer.
Option (c): `log −5(2) = x/1`
If we convert the given equation to logarithmic form, we get,
`log(1)(-5) = x/2`.
This is not equivalent to the given equation.
Therefore, option (c) is not the correct answer.
Option (d): `log x(2) = −5`
If we convert the given equation to logarithmic form, we get, `log(2)(x/1) = -5`.
This is equivalent to the given equation. Therefore, option (d) is the correct answer.
Option (e): `log 2(x) = 5`
If we convert the given equation to logarithmic form, we get, `log(x/1)(2) = 5`.
This is not equivalent to the given equation. Therefore, option (e) is not the correct answer.
Option (f): None of the above.
Hence, the correct option is (d).
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