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The amount of oil imported to Country A from Country B in millions of barrels per day can be approximated by the equation y=0.051x+1.38, where x is the number of years since 1970. Solve this equation for x. Use the new equation to determine in which year the approximate number of oil barrels imported from Country B per day will be 1.89 million.
First, solve the equation for x.
Answers
algebraic equation solving x, we concluded that In the year 1980 the approximate number of oil barrels imported from Country B per day will be 1.89 million.
What exactly is a mathematical linear equation?An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
Given the equation is :y=0.051x+1.38
Let us put y = 1.89
1.89 = 0.051x + 1.38
⇒ x = 0.51/0.051
⇒ x = 10
After ten years, 1.89 million oil barrels per day will be roughly imported from Country B.
Around 1.89 million oil barrels per day would be imported from Country B in the year 1980.
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Related Questions
A pre-election survey showed that two out of every three eligible voters would cast ballots in the county election. There are 390,000 eligible voters in the county. How many people are expected to vote in the election?
Answers
The number of people that nare expected to vote in the election is 260,000. people.
How to illustrate the fraction?Simply put, a fraction is a portion of a whole. Mathematically, the number is represented as a quotient with split numerator and denominator. The numerator and denominator of a simple fraction are both integers. On the other hand, a complex fraction has a fraction in either the numerator or the denominator.
In this situation, the pre-election survey showed that two out of every three eligible voters would cast ballots in the county election and there are 390,000 eligible voters in the county.
The number of people expected to vote will be:
= Fraction of expected voters × Total number of people
= 2/3 × 390000
= 2 × 130000
= 260000
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Please help I’m so lost
Answers
I believe that it’s 6x^2 - 2x + 12/x^2
Let Q be an orthogonal matrix with an eigenvalue λ1=1. Let x be an eighenvector beloinging to λ1. Show that x is also an eigenvector of QT
Answers
If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).
To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.
Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.
Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.
Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:
QT * (Q * x) = QT * (λ1 * x)
Applying the associative property of matrix multiplication, we have:
(QT * Q) * x = λ1 * (QT * x)
Using the fact that Q * QT = I, we can simplify further:
I * x = λ1 * (QT * x)
Since I * x equals x, we have:
x = λ1 * (QT * x)
Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:
x = λ2 * x
where λ2 = λ1 * (QT * x).
This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).
In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).
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f(x)=|x+8| How can function f be written as a piecewise function?
Answers
the absolute value function written as a piecewise function is:
f(x) = x + 8 if x ≥ -8
f(x) = -(x + 8) if x + < -8
How can this function be written as a piecewise function?
The absolute value function:
y = |x|
works as follows:
y = x if x ≥ 0.y = -x if x < 0.That is a piecewise function.
Now, in our case:
f(x) = |x + 8| can be rewritten to:
f(x) = x + 8 if (x + 8) ≥ 0
f(x) = -(x + 8) if (x + 8) < 0.
Now we should simplify the inequalities, so we get:
f(x) = x + 8 if x ≥ -8
f(x) = -(x + 8) if x + < -8
Here we have the absolute value function written as a piecewise function.
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If the two legs of the right triangle are 5
centimeters and 12 centimeters, what is the area
of the largest square, A, in square centimeters?
Answers
Answer:
can someone explain more about the problem
is confusing.
Step-by-step explanation:
The area of largest square is 169.
What is Pythagoras Theorem?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle.
Given that the two legs of the right triangles are 5 cm and 12 cm.
Then to find the hypotenuse value we can use the Pythagoras theorem,
(hypotenuse)² = (perpendicular)²+ (base)²
(hypotenuse)² = (12)²+ (5)²
(hypotenuse)² = 144+ 25
(hypotenuse)² = 169
(hypotenuse) = 13
Now, right triangle and square share one side that is hypotenuse = 13.
side of square = 13
Area of square is Square of side.
Area of square = (side)²
Area of square = (13)²
Area of square = 169
Therefore the area of largest square is 169.
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20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?
Answers
Answer:
I believe that her goal is 20 pages because 75% of 20 is 15.
Step-by-step explanation:
y=2x^2
Linear or non-linear. Explain
Answers
Answer:
Linear
Step-by-step explanation:
Its put into y=mx+b form making it linear
When 440 junior college students were surveyed, 200 said they have a passport. Construct a 95% confidence interval for the proportion of junior college students that have a passport.
Answers
ME = 1.96*sqrt[0.45*0.55/425] = 0.047
-----
95% CI: 0.45-0.047 < p < 0.45+0.047
The Confidence Interval is 0.403 < p < 0.497
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
Given:
Sample proportion = 190/425
= 0.45
Now, \(\mu\) = 1.96 x √[0.45 x 0.55/425]
\(\mu\) = 0.047
So, 95% CI:
0.45-0.047 < p < 0.45+0.047
0.403 < p < 0.497
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What is the value of y in the equation 4 + y = −3? (1 point) a 7 b 1 c −1 d −7
Answers
Answer:
-7
Step-by-step explanation:
PLEASE HELP 20 POINTS!!
Answers
Answer:
D) x² - y = 10x + 25 + y
Step-by-step explanation:
A relation only becomes a function if each x-value only has a single y-value as the answer.
Evaluating
A and B cannot be the answers as each value will get 2 answersC will also not be the answer as y² means at least 2 answers will be givenD is the best option as each inputted x-value will get an answer of a single y-valueIf ST=19 and S lies at -4 , where could T be located?
Answers
Answer:
15 or -23
Step-by-step explanation:
I think you probably already turned this in but in case you haven't:
ST = 19 means that line segment ST is 19 units long. If we know that S is at -4, then T has to be 19 units away from -4, right?
So there's two directions we could go.
Add 19 to -4 to get 15, so T could be at 15. (If there's a line drawn between -4 and 15, it would be 19 units long.)
But the line could go left, towards negative infinity, too. So if we subtract 19 from -4, we'd get -23. T could also be at -23. (If there's a line drawn between -4 and -23, it would also be 19 units long. There's no such thing as a negative length.)
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3
\(3 \sqrt{81} \)
what's the answer
Answers
Answer will be 27.
Given,
3√81
Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.
For example, squares of
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
Square roots,
√100 = 10
√81 = 9
√64 = 8
√49 = 7
√36 = 6
√25 = 5
√16 = 4
√9 = 3
√4 = 2
√1 = 1
Now ,
3√81 = 3× 9
= 27.
Thus the value is 27.
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SUSTAINIBILTY COUNTS! ENERGY CHALLENGE WHAT TO DO: COMPARITIVE STUDY OF CONSECUTIVE ELECTRIC BILLS o of post summer break with all calculations.
SUSTAINIBILTY COUNTS! ENERGY CHALLENGE
WHAT TO DO: COMPARITIVE STUDY OF CONSECUTIVE ELECTRIC BILLS HOW TO DO: 1) Examine your electricity bills of pre summer break.
2) List the various electrical appliances used in your home.
3) Find out the power consumption, duration for the device in use.
Do estimate calculation of your bills as per power consumption.
4) Make an energy reduction plan and determine how far you could implement it.
5) Re – examine your electricity bill of post summer break with all calculations.
6) WRITE your reduction plan & change in the bill.
Answers
Given statement solution is :-
1) Gather your electricity bills from the period before the summer break.
2) Create a comprehensive list of all the electrical appliances used in your home.
Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.
3) Research or locate the power consumption information for each appliance.
4) Identify areas where energy consumption can be reduced, such as:
Turning off lights when not in use.
Setting air conditioner temperatures at an optimal level.
Using energy-efficient appliances.
5) After the summer break, collect your electricity bill for the corresponding period.
6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.
Provide recommendations for further improvements or adjustments to achieve even greater sustainability.
To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:
Examine your electricity bills of pre-summer break:
Gather your electricity bills from the period before the summer break.
Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.
List the various electrical appliances used in your home:
Create a comprehensive list of all the electrical appliances used in your home.
Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.
Find out the power consumption and duration for each device in use:
Research or locate the power consumption information for each appliance.
This information is typically provided on the appliance itself or in the user manual.
Note down the power rating of each device in watts (W) or kilowatts (kW).
Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).
Calculate the estimated electricity consumption and cost:
Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).
Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.
Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.
Sum up the estimated costs for all appliances to get the total estimated electricity bill.
Make an energy reduction plan and determine implementation:
Identify areas where energy consumption can be reduced, such as:
Turning off lights when not in use.
Setting air conditioner temperatures at an optimal level.
Using energy-efficient appliances.
Unplugging devices when not in use.
Determine the feasibility of implementing these energy reduction measures in your home.
Re-examine your electricity bill of post-summer break:
After the summer break, collect your electricity bill for the corresponding period.
Calculate the actual energy consumption and cost using the same method as in step 4.
Compare the actual post-summer break bill with the estimated pre-summer break bill.
Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.
Document your reduction plan and changes in the bill:
Write a report summarizing your findings and observations.
Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.
Provide recommendations for further improvements or adjustments to achieve even greater sustainability.
By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.
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Find the GCF of 207c^3 and 108c^2
Answers
Answer: 9c²
Step-by-step explanation:
To find the Greatest Common Factor of 207c³ and 108c², first factor them down to their primes and see what they have in common.
207c³ 108c²
∧ ∧ ∧ ∧
9·23 c·c·c 9·12 c·c
∧ ∧ ∧
3·3 3·3 3·4
∧
2·2
207c³: 3·3·23 c·c·c
108c²: 2·2·3·3·3·4 c·c
GCF = 3·3 c·c
= 9c²
The GCF of 207c^3 and 108c² is 9c²
Given the expressions \(207c^3 \ and \ 108c^2\)
We are to find the GCF of both terms
First, we need to get the factors as shown::
207c³ = 9 * 23 * c² * c
108c² = 9 * 12 * c²
From the factors, we can see that 9 and c² are common to both terms:
The GCF of 207c^3 and 108c² is 9c²
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100 Points! Algebra question. Photo attached. Sketch the angle. Then find its reference angle. Show your calculations. Thank you!
Answers
The required reference angle of 13π/8 is 3π/8.
The reference angle of an angle in standard position is the positive acute angle formed between the terminal side of the angle and the x-axis.
Given an angle of 13π/8, we can determine its reference angle as follows:
Angle: 13π/8
Since the angle is in the fourth quadrant, we subtract it from 2π (one full revolution) to find the reference angle:
Reference angle: 2π - 13π/8 = 3π/8
Therefore, the reference angle of 13π/8 is 3π/8.
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Two friends receive some money in the ratio 1 to 2.
One friend receives £45 more than the other.
How much money was shared in total?
Answers
Answer:
£135
Step-by-step explanation:
£90 + £45
2:1
hope its correct and helped:)))))))))
Answer:
135
Step-by-step explanation:
Given f(x) = 4x + 5, find f(-3).
Answers
Answer:
-7
Step-by-step explanation:
f(x)=4x+5
f(-3)=4x+5
=4(-3)+5
-12+5
f(-3)= -7
The "x" in f(x) is the "x" in the equation
HELP ME ALSO WITH THIS!!!!!
Answers
Explanation:
Start by multiplying both sides of the second equation by -2. Now line up both equations and add them to each other. Since the 2y and -2y cancel out, you are left with -10x = -60. Thus, you get x = 6 and can plug it back in to either equation to solve for y. After that, you are left with the solution (6,3).
The stem and leaf plot shows the height in feet of every building taller than 50 feet in a county,
Building Heights
Stem
Leaf
5
1467
6
223568
7
0114 799
8
0002 355778 99
9
51 means 51 feet.
Which statement about the data is true?
The most common height for these buildings is 91 feet."
There are 30 buildings in the county that are taller than 50 feet.
© The number of buildings that are 70 feet tall is the same as the number of buildings that are 60 feet tall.
There are 5 buildings in the county that are between 50 feet tall and 59 feet tall.
Answers
Stem and leaf plots are used to visualize data, graphically
The true statement is (b) There are 30 buildings in the county that are taller than 50 feet.
How to interpret the stem and leaf plotFrom the stem and leaf plot, we have that the number of leaves is 30
This means that, the total frequency of the dataset is 30
So, the number of buildings taller than 50 feet is 30
Hence, the true statement is (b) There are 30 buildings in the county that are taller than 50 feet.
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2x + 4 < 10 I really need help on this
Answers
Answer:
x < 3
Step-by-step explanation:
Answer:
x < 3
Step-by-step explanation:
treat the sign as if it was an equal sign
then you would solve for x
2x < 6
x < 3
however, there are some cases where the sign would switch directions, you can search up "inequalities algebra" to see more examples
what is the equation in slope-intercept form for the line that passes through the points (-1,3) and (-2,-3)
A. Y=6x-9
B.y=6x+9
C. Y=-6x-9
D. Y= -6x+9
Answers
my work is attached :)
henry earns 42 $ for babysitting for 7 hours . If henry charges at the same rate, how many hours will it take him to earn 66$?
Answers
Answer:
11 hours
Step-by-step explanation:
if r= .75, this indicates??
Answers
1-r is positive, so grade school performance and Regents exam score tendto increase and decrease together.
2-r is fairly close to 1, so the direct relationship is fairly strong.
What is 10 x4 ten thousand
Answers
Answer:
400,000
Step-by-step explanation:
➟ 10 × 4 ten thousand
Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000
➟ 10 × 40,000
➟ 400,000
If g(x) = x^2 – 2x + 11, find g (-2)
Answers
Answer:
19
Step-by-step explanation:
g(x) = x^2 – 2x + 11
Let x=-2
g(-2) = (-2)^2 – 2(-2) + 11
Powers first
=4 -2(-2) +11
Then multiply
= 4 +4 +11
Now add
= 19
Multiply 9/8 x 7/8 what is it fraction?
Answers
Answer:
63/8
Step-by-step explanation:
For this question all you have to do is times the 9 and 7 and put the denominator(in this case 8) underneath to make a fraction. The answer totals as 63/8 or 7 and 7/8.
Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?
Answers
Answer:
$229.73
Step-by-step explanation:
5 Pair of jeans = 127.63
divide by 5 to get 1 pair of jeans.
1 pair of jeans = 25. 526 rounded 25.53
times 9 to get to 9 pair of jeans.
9 pair of jeans = 229. 734 rounded 229.73
Need help asap
Question 6
Answers
Answer:
AC=30
BD=30
BE=15
AB=27
Answer:
AC = 30, BD = 30, BE = 15, AB = 27, BC = 13.1
Step-by-step explanation:
AC = AE * 2
BD = BE * 2
BE = AE
AB = CD
BC = \(\sqrt{30^{2}-27^{2} }\) (Pythagorean theorem)
Find the value of x, 6,4, 3x, 4x+1
Answers
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
CAN U PLEASE HELP AND EXPLAIN-
The growth of a sample of bacteria can be modeled by the function b(t) = 100(1.06)^t where b is the number of bacteria and t is time in hours. What is the total number of bacteria after 18 hours? Round your answer to the nearest whole number.
