Answer: The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005, the figure was 383 parts per million.
Step-by-step explanation:
examples of addition of three fractions ( between 0-1) with a common denominator. IN STEPS ALL WORK, I need two examples.
Answer:
1/6 + 2/6 + 3/6 = 6/6 = 1
1/7 + 2/7 + 4/7 = 7/7 = 1
1/8 + 2/8 + 3/8 = 6/8 = 0.75
1/9 + 2/9 + 3/9 = 6/9 = 2/3 = 0.66 (repeater dot above first 6)
1/10 + 2/10 + 3/10 = 6/10 = 3/5 = 0.6
1/12 + 2/12 + 3/12 = 6/12 = 1/2 = 0.5
All numerators in consecutive form 1, 2, 3 adds up to 6
Where 7/7 as a numerator is easier to work with than 6/7 as 6/7 does not leave a whole number as easy as 7/7 does leave whole number = 1.
We notice just 8 and 9 does not leave to 1 decimal point when adding the first consecutive numerators of that whole.
Where 10.and 12 does leave to 1dp as these numbers are not prime numbers like co prime numbers 7 and 11.
Step-by-step explanation:
can u help me with this one problem find the total cost to nearest cent
The total cost to the nearest cent simply means to the nearest hundreths. Therefore, the cost of the shirt is $ 24 and a 6% tax .
The tax is 6 % of cost of the shirt
\(\begin{gathered} \text{tax price = }\frac{6}{100}\text{ }\times\text{ 24} \\ \text{tax price = }\frac{144}{100} \\ \text{tax price = \$ }1.44 \end{gathered}\)\(\begin{gathered} t\text{otal cost = 24 + 1.44} \\ \text{total cost = \$}25.44 \end{gathered}\)You and your friend's choice to take a bus back home, each 2 miles you have to pay 60 cents, write this in an Equation
Answer:
Step-by-step explanation:
Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.
Select the correct answer.
Which statement correctly compares the graph of function g with the graph of function ??
FE) = e²-
g(x) = ² - 4
O A.
OB.
O C.
O D.
The graph of function g is a horizontal shift of the graph of function to the right.
The graph of function g is a vertical stretch of the graph of function f.
The graph of function g is a vertical compression of the graph of function f.
The graph of function g is a horizontal shift of the graph of function f to the left.
Reset
Next
A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;
g(x) = kf(x)
g(x) = 1/2f(x)
\(g(x) = \frac{1}{2} e^x -4\)
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There are 6 pails in a row. The first 3 pails are filled with water. How can you make only one adjustment to make the following pattern: full, empty, full, empty, full and empty?
The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
Given that, there are 6 pails in a row. The first 3 pails are filled with water.
The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.
Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
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Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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Write down the value of the 5 in each of these
numbers.
8.154
751 602
1 567 324 896
Answer:
8.154 - 0.05
751 602 - 50 000
1 567 324 896 - 500 000 000
A passcode can have 5 or 6 digits. Digits can be repeated and leading 0s are allowed. So, 1234 would be a 4 digit code that is different from 01234, which is a 5 digit code. How many different passcodes are possible
Answer:
The number of passcodes possible is 1,100,000
Step-by-step explanation:
Here , we want to calculate the number of different possible passcodes.
For the five digit code,
each number in the code has a possibility of choosing from the digits 0 to 9, so this means that each of the numbers in the code has 10 options.
So for a five digit code, the number of possible choices would be 10 * 10 * 10 * 10 * 10 = 10^5
For a six digit code, the number of possible choice would be 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10^6
So for 5 or 6 digits code, the number of possible choices would be;
10^5 + 10^6 = 10^5(1 + 10)
= 11(10^5) = 1,100,000
The number of passcodes possible is 1,100,000
Calculation of the no of passcode:For the five-digit code, the no of possible choices should be \(10^5\)
For the six-digit code, the no of possible choices should be \(10^6\)
So, the possible choices should be
\(10^5 + 10^6 = 10^5(1 + 10)\\\\= 11(10^5)\)
= 1,100,000
Hence, The number of passcodes possible is 1,100,000
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In 2014, County X had 783 miles of paved roads.Starting in 2015, the county has been building 8 miles ofnew paved roads each year. At this rate, if n is the numberof years after 2014, which of the following functions fgives the number of miles of paved road there will be inCounty X? (Assume that no paved roads go out ofservice.)A) f(n) = 8 + 783nB) f(n) = 2,014 + 783nC) f(n) = 783 + 8nD) f(n) = 2,014 + 8n
C
1) Gathering the data:
2014
X Country 783 miles
2015
X Country
8n
2) Since there were already 783 miles of paved road. We can write the function as:
F(n) =8n +783
Please help ASAP!!! Thank you so much!!! Just want confirm my answer and it is A) -5. Consider the function f(x)= \(x^{3}\) +4\(x^{2}\)-25x-50. (x^3+4x^2-25x-50). If there is a remainder of 50 when the function is divided by (x-a) what is the value of a? A) -5 B) -2 C)-3 D)
Answer:
Correct is A
Step-by-step explanation:
Correct is A , notice that when you perform synthetic division you get that the reminder is 50, please refer to the image I attach to see it.
If you flip two coins 68 times, what is the best prediction possible for the number of times both coins will land on heads?the number of times it will land on tails?
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.
If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.
What is the probability of getting two heads?The possible outcomes when two coins are flipped are;
head - head = HH
tail - tail = TT
Head and tail = HT
Tail and head = TH
The probability of getting two heads = 1/4
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;
Expected value = (68 flips) x (1/4 probability of getting HH) = 17
The probability of getting two tails = 1/4
Expected value = 68 x 1/4 = 17
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in a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. however, 89% of the students believe that five minutes is not enough time for students to change classes. let p hat subscript upper f and p hat subscript s be the sample proportions of teachers and students, respectively, who believe that five minutes is not enough time for students to change classes. suppose 28 teachers and 100 students are selected at random and asked their opinion on the amount of time students have to change class. which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat subscript upper f baseline minus p hat subscript s ?
The difference (faculty-student) in the sample proportions of those who think that students should have five minutes to switch classes usually varies by roughly 0.096 from the actual difference in proportions.
What is the standard deviation?A low standard deviation shows that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation suggests that the values are spread out over a broader range.
The standard deviation is a measure of variance or dispersion in statistics.
So, the sampling distribution's standard deviation is calculated as follows:
\(\begin{aligned}& \sigma_{\mathrm{F}}-\sigma_{\mathrm{s}}=\sqrt{\frac{0.37 \times(1-0.37)}{28}+\frac{0.89 \times(1-0.89)}{100}} \\& \sigma_{\mathrm{F}}-\sigma_{\mathrm{s}}=0.096\end{aligned}\)
The actual proportional difference between those who believe five minutes is not enough time for pupils to switch courses and those who believe this is generally 0.096.
Therefore, the difference (faculty-student) in the sample proportions of those who think that students should have five minutes to switch classes usually varies by roughly 0.096 from the actual difference in proportions.
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Correct question:
n a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However, 89% of the students believe that five minutes is not enough time for students to change classes. Let p hat Subscript Upper F and p hat Subscript Upper S be the sample proportions of teachers and students, respectively, who believe that five minutes is not enough time for students to change classes. Suppose 28 teachers and 100 students are selected at random and asked their opinion on the amount of time students have to change class. Which of the following is the correct shape and justification of the sampling distribution of p hat Subscript Upper F Baseline minus p hat Subscript s ?
if each hash mark represents a spacing of 10 in which of the following ranges of values would you find |x|
Answer:
B, Between -40 and -50
Step-by-step explanation:
Because, X lies between hask mark 4 and 5 to the left of 0, which would make it -40 and -50.
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
There is 7/8 of the pretzel bag left. If one serving is 1/4 of the bag. How many servings are left? Use the model to answer the question.
Answer:
5/8
Step-by-step explanation:
What angle corresponds with angle A?
Professor A.B.C company opens his own company, Electronic Tutorial Services, and completes the following transactions in June:
6/1 A.B.C company invests 20,000 in the business.
6/3 Purchased 12,100 of equipment.
6/4 Paid 220 premium for an insurance policy.
6/6 Purchased office supplies on Account 140.
6/9 Purchased a new computer for 9,000. Paid 40% cash agreed to pay the remainder Later.
6/10 Billed student Omar 58 for tutorial services that were performed.
6/14 Paid for the supplies purchased on June 6th.
6/15 the owner suggested to purchased new Building for his company by 22,000
6/25 Received 85 cash from student Salim Ali for tutorial services performed.
6/30 Student billed on June 10 pays the amount due to A.B.C company.
6/30 A.B.C company withdraws 60 for personal use.
Required: Prepare the all Accounting Cycles
In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.
Accounting Cycles:
1. June 1:
- A.B.C company invests $20,000 in the business.
- Prepare the journal entry:
- Debit: Cash ($20,000)
- Credit: Capital ($20,000)
2. June 3:
- Purchased equipment for $12,100.
- Prepare the journal entry:
- Debit: Equipment ($12,100)
- Credit: Cash ($12,100)
3. June 4:
- Paid $220 premium for an insurance policy.
- Prepare the journal entry:
- Debit: Insurance Expense ($220)
- Credit: Cash ($220)
4. June 6:
- Purchased office supplies on account for $140.
- Prepare the journal entry:
- Debit: Office Supplies ($140)
- Credit: Accounts Payable ($140)
5. June 9:
- Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.
- Prepare the journal entry for the cash payment:
- Debit: Computer ($3,600) [40% of $9,000]
- Credit: Cash ($3,600)
- Prepare the journal entry for the remaining amount:
- Debit: Computer ($5,400)
- Credit: Accounts Payable ($5,400)
6. June 10:
- Billed student Omar $58 for tutorial services performed.
- Prepare the journal entry:
- Debit: Accounts Receivable ($58)
- Credit: Tutorial Services Revenue ($58)
7. June 14:
- Paid for the supplies purchased on June 6th ($140).
- Prepare the journal entry:
- Debit: Accounts Payable ($140)
- Credit: Cash ($140)
8. June 15:
- The owner suggested purchasing a new building for the company for $22,000.
- No journal entry is required at this point. It is a decision made by the owner.
9. June 25:
- Received $85 cash from student Salim Ali for tutorial services performed.
- Prepare the journal entry:
- Debit: Cash ($85)
- Credit: Accounts Receivable ($85)
10. June 30:
- Student billed on June 10 pays the amount due ($58).
- Prepare the journal entry:
- Debit: Cash ($58)
- Credit: Accounts Receivable ($58)
11. June 30:
- A.B.C company withdraws $60 for personal use.
- Prepare the journal entry:
- Debit: Withdrawals ($60)
- Credit: Cash ($60)
These transactions represent the accounting cycles for the given period.
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HELPPPPPPPPPPPPPPPPPPPPP
Answer:
The answer is C.
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A hotel has a total of 7 floors if there are 35 standard rooms on each floor how many standard rooms are there
Answer:
245 is the answer if you do the math easy
\( \red{ \rm\int\limits_{0}^{ \frac{\pi}{2}} l {n}^{2} \bigg( \frac{ {e}^{ - {x}^{2} } }{ \cos(x) } (1 + \cos(4x)) \bigg ) dx } \\ \)
First we rewrite
\(\dfrac{1 + \cos(4x)}{\cos(x)} = 2\cos^2(2x)\)
then expand the integrand as
\(\displaystyle \ln^2(2) - 2 \ln(2) x^2 + x^4 \\\\ {} + 2\ln(2) \ln(\cos^2(2x)) - 2\ln(2) \ln(\cos(x)) - 2x^2 \ln(\cos^2(2x) + 2x^2 \ln(\cos(2x)) \\\\ {} + \ln^2(\cos^2(2x)) + \ln^2(\cos(x)) - 2 \ln(\cos(x)) \ln(\cos^2(2x))\)
We'll use the following identity:
\(\displaystyle \cos(2kx) = \frac{e^{i2kx} + e^{-i2kx}}2 \\\\ \sum_{k=1}^\infty \frac{\cos(2kx)}k = \frac12 \left(\sum_{k=1}^\infty \frac{(e^{i2x})^k}k + \frac{(e^{-i2x})^k}k\right) \\\\ \sum_{k=1}^\infty \frac{\cos(2kx)}k = -\frac12 \left(\ln(1-e^{i2kx}) + \ln(1 - e^{-i2kx})\right) \\\\ \implies \ln(\sin(x)) = -\ln(2) - \sum_{k=1}^\infty \frac{\cos(2kx)}k\)
as well as the fact that for any integer n,
\(\displaystyle \int_0^{\frac\pi2} \cos(2nx) \, dx = 0\)
Consult the attachments for the integrals of the non-trivial terms.
Putting everything together, the end result is then
\(\displaystyle \int_0^{\frac\pi2} \ln^2\left(\frac{e^{-x^2}}{\cos(x)}(1+\cos(4x))\right) \, dx \\\\ = \boxed{\frac{\pi^5}{160} + \frac{\pi^3}4 - \frac{11\pi}{16} \zeta(3)}\)
Find the y-intercept and the x-intercept of the line below. Click on "None" if applicable.
The required y-intercept for the given line on the graph is -1.
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
here,
From the graph, the line intersects the y-axis at (0, -1).
Since y-intercept is defined as the point of the y-axis over the coordinate plane where any line or curve intersects the y-axis.
So y - intercept = -1
Thus, the required y-intercept for the given line on the graph is -1.
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Determine the exact value of sin 30° tan 45° + tan 30° sin 60⁰
Answer:
1.
Step-by-step explanation:
1) if sin30=0.5; tan45=1; tan30=1/√3; sin60=√3/2, then
2) 0.5+0.5=1.
An envelope measures 8 inches by 5 inches. A pencil is placed in the envelope at a diagonal. What is the maximum possible length of the pencil? If necessary, round to the nearest tenth.
ANSWER
\(9.4in\)EXPLANATION
First, let us make a sketch of the problem:
The envelope is shaped like a rectangle.
The maximum possible length of the pencil is the length of the diagonal of the envelope.
To find the length of the diagonal, apply the Pythagoras theorem:
\(\text{hyp}^2=a^2+b^2\)where hyp = hypotenuse
a, b = legs of the triangle formed by the diagonals and the sides of the envelope.
Therefore, for the question, we have that:
\(\begin{gathered} p^2=5^2+8^2 \\ p^2=25+64 \\ p^2=89 \\ p=\sqrt[]{89} \\ p\approx9.4in \end{gathered}\)The maximum possible length of the pencil is 9.4 inches.
Please help me!!! quick and right answer only
Answer:
average rate of change = (16 - 1)/(4 - 1)
= 15/3 = 5
Find the slope of a line through the points (-3, 11) and (13,7)
which diagram represents the expression |-5|
A diagram that represents the expression |-5| include the following: A. graph A.
What is a number line?In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
Since the absolute value of -5 or |-5|, an inequality that matches this graph is represented by the first diagram.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
can someone help me the problems are in the photo there is only 2
Answer:
7.) 135%, 13.5, 8⅗
135% = 135/100 = 1.3513.5 = 13.58⅗= 43/5 = 8.6from least to greatest= 1.35, 8.6, 13.5.
= 135%, 8⅗, 13.5.
8.) ⅙, 16.7%, 0.16
1/6 = 0.166 ≈ 0.17.16.7% = 16.7/100 = 0.167 ≈ 0.170.16 = 0.16from least to greatest= 0.16, 0.17, 0.17
= 0.16, 1/6, 16.7%
**sorry if it's late ...
you could also check it too
(x3)(x-5)
Fududeey
X=2
Answer:
-18 is the right answer..
PLZ HELP WILL GIVE V=BRIANLYEST
i also agree to this question
Answer:
i also agree to this question
Step-by-step explanation: