What is 39,400,000 in scientific notation?
Answer:
3.94*10^7
Step-by-step explanation:
Answer:
3.94 * 10^7
Step-by-step explanation:
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The rule R x-axis ∘ T⟨–5, 3⟩ is applied to the point (–3, –2). Where is the image in the coordinate system?
Given:
Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.
The point is (-3,-2).
To find:
The image of given point after the transformation.
Solution:
Consider the given point be P(-3,-2).
Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.
If a figure translated by T⟨–5, 3⟩, then
\((x,y)\to (x-5,y+3)\)
\(P(-3,-2)\to P'(-3-5,-2+3)\)
\(P(-3,-2)\to P'(-8,1)\)
If a figure reflected by R x-axis, then
\((x,y)\to (x,-y)\)
\(P'(-8,1)\to P''(-8,-1)\)
Therefore, the image of given point after transformation is (-8,-1).
What is the range of the data set?
Answer:
In statistics, the range is the spread of your data from the lowest to the highest value in the distribution.
Step-by-step explanation:
Answer:
The range of a set of data is the difference between the highest and lowest values in the set.
1 of 4
5 positive integers are arranged in ascending order, as follows:
1, 7, 7, 11, 2
There are 2 modes.
Find .
=
What percent is represented by the shaded area?
EASY!!! WILL GIVE BRAINLIEST IMMEDIATELY IF U GET IT RIGHT!!!1
Prove that quadrilateral DARK is a trapezoid, given that KA bisects ∠DKR, DK ≅ RA, and DA || KR.
(see photo)
Which of the following reasons can be used to justify the steps that necessary to prove that quadrilateral DARK is a trapezoid? Select all that apply.
Alternate Interior Angles Theorem
Angle bisector
Alternate Exterior Angles Theorem
Definition of a parallelogram
Same side / Consecutive Interior Angles
Transitive Property
Pythagorean Theorem
Answer: i think a d c and e
Step-by-step explanation:
You order CDs for $14.25 each and the website charges $4.50 for each shipment.
The expression $14.25p + $4.50 represents the cost of p CDs. Find the total cost for
ordering 4 CDs.
Answer:
$61.50
Step-by-step explanation:
14.25(4) + 4.50
= 57.00 + 4.50
= 61.50
the probability of a new employee passing a test is .20. what are the odds of the employee passing the test?
The odds of the employee passing the test are 0.25. Alternatively, we can say that the employee has a 1 in 4 chance of passing the test if the probability is 0.20
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents impossibility (an event that cannot occur) and 1 represents certainty (an event that is certain to occur).
For example, if you toss a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 0.5 (or 1/2) because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).
According to the given informationThe odds of an event happening are defined as the ratio of the probability of the event occurring to the probability of the event not occurring. Mathematically, odds can be expressed as:
odds = P(event happening) / P(event not happening)
In this case, the probability of the employee passing the test is 0.20, so the probability of the employee not passing the test is 0.80 (since the sum of probabilities of all possible outcomes must be 1).
Therefore, the odds of the employee passing the test can be calculated as:
odds = 0.20 / 0.80 = 0.25
So the odds of the employee passing the test are 0.25. Alternatively, we can say that the employee has a 1 in 4 chance of passing the test (since 0.25 can be written as a fraction of 1/4).
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Math question 10 points help….
Answer:
A) \(\frac{x}{11} < -21\)
Step-by-step explanation:
Let "a number" be denoted by the variable, x. Set the equation:
"A number divided by 11": x/11
"is less than": <
"-21": -21
Put all the parts together:
"A number divided by 11 is less than -21": x/11 < -21
A) \(\frac{x}{11} < -21\) is your answer.
~
The sum of two numbers is 23. The difference of those two numbers is 13. The larger number is x, and the smaller number is y.
3. Reflect right triangle ABC across line BC. Classify
triangle ACA' according to its side lengths. Explain how
you know.
Answer:
Isosceles triangle
Step-by-step explanation:
Given
Triangle ABC
Required
Reflect across BC and name the triangle according to length of its side
When the triangle is reflected across line BC, the new triangle is ACA (see new attachment)
And the sides of this ACA are:
AC, CA and AA
Such that
AC = CA
and
\(AA = 2 * AB\)
\(AA = 2AB\)
From the description above, we have two sides (AC and CA) of the triangle to be equal.
By classification of sides, when two sides of a triangle are equal; such triangle is an isosceles triangle
Triangle ACA' has two equal sides, based on the side lengths, triangle ACA' can be classified as: an isosceles triangle.
Recall:
An isosceles triangle has two equal side lengths which lie opposite each other.Given that triangle ABC is a right triangle, if we reflect it across line BC, we will have mirror figure of right triangle ABC, forming triangle ACA'.
That is, two right triangles of ABC, which are reflections of each other, will form triangle ACA'. (See image attached).
Thus, this means that:
A'B = AB (congruent sides)Therefore,
A'A = 2(AB) or 2(A'B)Also, CA = C'A (congruent sides)
This means that, triangle ACA' has two equal sides that are opposite to each other.
Therefore, based on the side lengths, triangle ACA' can be classified as: an isosceles triangle.
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Sy dney buys a phone for $499.99. What is the total price in dollars if the sales tax is 7%? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
The total price of the phone, including sales tax, is $534.99.
To calculate the total price including sales tax, we need to add the sales tax amount to the original price.
Sales tax is typically calculated as a percentage of the original price. In this case, the sales tax rate is 7%, which means that Sydney needs to pay an additional 7% of the phone's price.
To find the sales tax amount, we can multiply the price of the phone by 7%:
Sales tax amount = $499.99 * 7% = $34.9993 (rounded to four decimal places)
Now, to calculate the total price, we add the sales tax amount to the original price:
Total price = $499.99 + $34.9993 = $534.9893 (rounded to four decimal places)
Therefore, the total price of the phone, including sales tax, is approximately $534.99.
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Which value of h makes the equation below true?
5x + 8 = 28
Answer:
Step-by-step explanation:
So, the point of this is to make x the only thing on one side, so we can see what x is!
Okay so first subtract 8 on both sides...
5x= 25
Now we need to divide on both sides!
That equals...
x=5
So now we know that x=5!
Hope this helped!! :D
If you have any questions whatsover, make sure to comment!
The original price of a phone was reduced by $200.
If p = the phone's original price in dollars, which algebraic expression
represents the reduced price?
Answer:
B. p - 200
Step-by-step explanation:
Start with the original price, p.
When the price is reduced by $200, you are taking away $200 from the price, so you need to subtract $200 from the original price, p.
Answer: B. p - 200
There are dishes that need to be rinsed. Ivan can rinse them in minutes by himself. It will take his friend Lamar minutes to rinse these dishes. How long will it take them if they rinse these dishes together
If Ivan can rinse the dishes in minutes and Lamar can rinse the same dishes in minutes, then their combined rinsing power is dishes per minute. To find out how long it will take them to rinse the dishes together, we need to use the formula:
Ivan's rate: 1 dish/minute
Lamar's rate: 1 dish/minute
When working together, their combined rate is the sum of their individual rates. So, the combined rate is (1 + 1) dishes/minute, which equals 2 dishes/minute.
Now, we can use the formula to find the time it takes for them to rinse the dishes together:
work = rate × time
dishes = (2 dishes/minute) × x
Since the number of dishes is the same for both Ivan and Lamar, we can set up an equation:
dishes = 2x
Solving for x, we find that it will take half the time for them to rinse the dishes together compared to doing it individually.
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convert 12/25 to base 5
Expand the given fraction as
\(\dfrac{12}{25} = \dfrac{10}{25} + \dfrac2{25} = \dfrac25 + \dfrac2{5^2}\)
Then the base 5 representation of 12/25 is
\(\dfrac{12}{25} \equiv \boxed{0.22_5}\)
add: 6(x + 7) + (x + 3
Answer:
x=45/7
Step-by-step explanation:
=6x+42+x+3
6x+x+42+3
7x+45
x=45/7
Wallace writes the number 72,204 in a
place-value chart. Select the places that
will be filled on the chart.
Ones
Tens
Thousands
Ten thousands
Hundred thousands
Can anyone help
looks like the answer C. Thousands.
In the number 72,204 the ones, tens, thousand, and ten thousand will be 4,0,2, and 7 respectively.
What are digits?In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.
A digit is a part of a set that, when combined, makes up a numeration system.
For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.
The place value of a general abcd digit is given by
d = ones
c = tens
b = hundreds
a = thousands
So,
In the given number 72,204
4 = ones
0 = tens
2 = hundreds
2 = thousands
7 = hundred thousand
Hence "In the number 72,204 the ones, tens, thousand, and ten thousand will be 4,0,2, and 7 respectively".
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The following table shows the first segment of a five-year amortization schedule. a 5-year amortization schedule. the amount of interest paid for months 1 through 12 are: 99.03, 97.73, 96.42, 95.10, 93.78, 92.44, 91.09, 89.73, 88.36, 86.98, 85.58, 84.18. after one year of payments, how much has been paid to interest? a. $1,100.42 b. $1,010.16 c. $1,188.34 d. $1,241.18
After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
What is a loan amortization schedule?It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.
We have a table given that showing a first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.
As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6
Therefore, loan amount = $1184.6
The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18
After one year of payments, the amount need to be paid to interest:
= Loan amount - Outstanding amount after 12 months
= 1184.6 - 84.18
= $1100.425
Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
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15. ___________ is a statistic that refers to the proportion of observed variance in a group of individuals that can be accounted for by genetic variance
Heritability is a statistic that quantifies the proportion of observed variance in a group of individuals that can be attributed to genetic variance.
Heritability is a fundamental concept in genetics and behavioral sciences that helps understand the extent to which genetic factors contribute to observed variations in a particular trait within a population. It measures the proportion of phenotypic variation (differences in traits) that can be explained by genetic variation. Heritability estimates range from 0 to 1, where a value of 0 indicates that all observed variation is due to environmental factors, and a value of 1 suggests that all observed variation is due to genetic factors.
To calculate heritability, researchers typically study populations with varying degrees of genetic relatedness, such as twins or family members. By comparing the similarity of traits between individuals with known genetic relatedness, it is possible to estimate the contribution of genetic factors to the observed variance. Environmental factors that contribute to phenotypic variation are considered as part of the non-genetic or "environmental" component.
It is important to note that heritability estimates are population-specific and apply only to the particular group being studied. Additionally, heritability does not provide information about specific genes or the precise mechanisms by which genetic factors influence traits. Nonetheless, heritability serves as a valuable tool in understanding the relative importance of genetic and environmental factors in shaping individual differences within a population.
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Candy choices at the movie theater are an example of which type of data? Statistic Extreme Qualitative Quantitative
The example of choosing candy falls under the dignified criteria of Qualitative data. Then the correct option required is Option B.
Qualitative data refers to data that is considered descriptive and conceptual which are collected through questionnaires, observation, and interviews. candy choices in the given question fall under the description of Qualitative data. Due to the following reasons
It is non-numerical and readily describes the characteristics of objects, people, places, etc.No calculations are included for choosing a particular option that will in conclusion help in determining the better candy.No involvement of 2nd person's preferences or choices to find a suitable candy.No limiting variables to hold the imagination, are required to select the perfect candy.To learn more about Qualitative data,
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Find the slope given
the ordered pairs:
(-3,-2) and (-3,-5)
Step-by-step explanation:
\( - 2 - - 5 \\ \)
\( \div - 3 - - 3\)
PAD, 2014)and D(12.-2), led by a en or largement
The coordinates of the polygon are given, and then dilated by a factor of 1/2.
Hence the new coordinates would be derived as follows;
\(\begin{gathered} A(2,4)\rightarrow\times\frac{1}{2} \\ A^{\prime}(1,2) \\ B(-4,-8)\rightarrow\times\frac{1}{2} \\ B^{\prime}(-2,-4) \\ C(0,4)\rightarrow\times\frac{1}{2} \\ C^{\prime}(0,2) \\ D(12,-2)\rightarrow\times\frac{1}{2} \\ D^{\prime}(6,-1) \end{gathered}\)The new coordinates therefore are derived as;
A'(1, 2)
B'(-2, -4)
C'(0, 2)
D'(6, 1)
This is a reduction
Find the 11th term of the arithmetic sequence -5x + 6, -9x + 11, -13x + 16
Answer:
11th term is -45x+56
Answer:
a_11 = -45x + 56
Step-by-step explanation:
An arithmetic sequence has a constant difference which can be found by subtracting a term from the next term.
constant difference = d = -9x + 11 - (-5x + 6)
d = -9x + 11 + 5x - 6
d = -4x + 5
The nth term of an arithmetic sequence is
a_n = a_1 + (n - 1)d
a_11 = a_1 + (11 - 1)(-4x + 5)
a_11 = -5x + 6 + 10(-4x + 5)
a_11 = -5x + 6 - 40x + 50
a_11 = -45x + 56
12. When 3a2-7a+6 is subtracted from 4a²-3a +4, the result is
(1) a² +4a-2
(2) a²-10a-2
(3)-a²-4a+2
(4) 7a²-10a+10
Answer:
(1) a² +4a-2
Step-by-step explanation:
\(4a^2-3a\:+4\:-\:\left(3a^2-7a+6\right)\\\\= 4a^2-3a\:+4\:- 3a^2 + 7a -6\)
Grouping like terms
\((4a^2 -3a^2) +(-3a + 7a) +(4 - 6)\\\\= a^2 +4a - 2\)
A 4-year project has an annual operating cash flow of $48,500. At the beginning of the project, $3,950 in net working capital was required, which will be recovered at the end of the project. The firm also spent $21,800 on equipment to start the project. This equipment will have a book value of $4,420 at the end of the project, but can be sold for $5,490. The tax rate is 21 percent. What is the Year 4 cash flow?
Answer: Cash flow = $58,680
Step-by-step explanation: You add $49,500 + 4,050 + 5,550 + .40($4,500 − 5,550)
the probability of getting a single pair in a poker hand of 5 cardsis approximately 0:42. find the approximate probability that out of 1000 pokerhands there will be at least 450 with a single pair.
The approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035
How to find the approximate probability ?
This is a binomial distribution problem with n = 1000 and p = 0.42. Let X be the number of poker hands with a single pair out of 1000 poker hands.
To find the probability that there are at least 450 poker hands with a single pair, we need to calculate P(X ≥ 450).
Using the normal approximation to the binomial distribution, we have:
μ = np = 1000 × 0.42 = 420
σ = √(np(1-p)) = √(1000 × 0.42 × 0.58) ≈ 16.08
Using the continuity correction, we can approximate P(X ≥ 450) as P(Z ≥ (449.5 - 420)/16.08) where Z is the standard normal distribution.
P(Z ≥ (449.5 - 420)/16.08) = P(Z ≥ 1.814) ≈ 0.035
Therefore, the approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035.
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in a recent survey,55% of cell phone owners said they text messages.what fraction of cell phone owners is this
Answer:
11/20
Step-by-step explanation:
55% = 55/100
by simplifying this fraction (divide top and bottom by 5), you get 11/20
what’s the answer to this?
The graph shows the speed of a vehicle. Find the speed in miles per minute.
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Answer: 3 1/3....
Step-by-step explanation:
or (2 1/2,3 1/3)
Or something
The speed for first point is 2/3 miles/min and the speed of second point is 2/3 miles/min.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the provided data in the graph,
The distance for point 1 = 2/3 miles
The time for point 1 = 1 min
Speed = 2/3 miles/min.
Now,
The distance for point 2 = 4/3 miles
The time for point 2 = 2 minutes
The speed will be = 2/3 miles/min.
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