The total carbon dioxide that the country would emit over the course of the 6 year period is 661,505 kilotons.
What is the total carbon dioxide that would be emitted?The formula that can be used to determine the emission each year is:
Emission in the first year x(1 - rate of decrease)^number of years
Emission in the first year = 120,000
Emission in the second year = 120,000 x (1 - 0.034)^1 = 115,920
Emission in the third year = 120,000 x (1 - 0.034)^2 = 111,978.72
Emission in the fourth year = 120,000 x (1 - 0.034)^3 = 108,171.44
Emission in the fifth year = 120,000 x (1 - 0.034)^4 = 104,493.61
Emission in the sixth year = 120,000 x (1 - 0.034)^5 = 100,940.83
Sum of emissions from the first year to the sixth year = 661,505
This illustrates the concept of exponential decrease.
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is this right
aww we fast
(algebra)
Please help with question 1.
Answer:
reflection over the y-axistranslation left 4, down 3Step-by-step explanation:
You want two transformations that will map segment AB to segment A"B", where the points are A(1, 1), B(5, 3), A"(-5, -2), B"(-9, 0).
ReflectionWe notice that the difference B-A is (5 -1, 3 -1) = (4, 2), and the difference B"-A" is (-9 -(-5), 0 -(-2)) = (-4, 2). These values have the same magnitudes, so we know no dilation is involved. The sign of the x direction of the segment has been reversed, which means the segment has been reflected horizontally. (B" is left of A", where B is right of A.)
Reflection over any vertical line will do, but the simplest is reflection over the y-axis.
The first transformation can be reflection over the y-axis.
TranslationThe reflected line segment will be ...
(x, y) ⇒ (-x, y)
A(1, 1) ⇒ A'(-1, 1)
B(5, 3) ⇒ B'(-5, 3)
The value that must be added to A' to move it to A" is ...
A" -A' = (-5, -2) -(-1, 1) = (-5 -(-1), -2-1) = (-4, -3) . . . . . . left 4, down 3
Similarly, the value that must be added to B' to move it to B" is ...
B" -B' = (-9, 0) -(-5, 3) = (-9 -(-5), 0 -3) = (-4, -3) . . . . . . left 4, down 3
That is, the entire segment A'B' can be moved to A"B" by a translation left 4 and down 3.
The second transformation can be translation left 4 and down 3.
__
Additional comment
The translation left could be accomplished by reflection over the line x = -2 instead of the y-axis.
The movement of the line segment could be accomplished in one transformation by rotation 126.87° clockwise about the point (-1.25, -2). The exact angle is arctan(-4/3) in the second quadrant.
If the perimeter of a trapezium is 68cm, its non -parallel sides are equal to 12cm each and its altitude is 4cm. The area of the trapezium is
Answer:
88 cm²
Step-by-step explanation:
Area of trapezium = [tex]\frac{1}{2}[/tex](a + b)h
12 * 2 = 24
68 -24 = 44
44 is (a + b) as they are the sum of the parallel sides of the trapezium.
h (altitude) = 4
[tex]\frac{1}{2}[/tex](44)(4) = 88 cm²
Answer:
88 cm², hope it helps.
For the following set of data, find the percentage of data within 1
population standard deviation of the mean, to the nearest percent.
58, 58, 50, 64, 59, 62, 58
The percentage of data within 1 population standard deviation of the mean, to the nearest percent is; 71%
How to find the mean and standard deviation?The mean of a data sample is defined as the average of that data sample. The formula for the mean is;
μ= ∑x/n
Thus;
μ = (58 + 58 + 50 + 64 + 59 + 62 + 58)/7
μ = 409/7
μ = 58.429
The standard deviation is defined as a measure of how dispersed the data is in relation to the mean. It is gotten from the formula;
σ = √[Σ(xi - μ)²/N]
Solving this with a standard deviation calculator gives;
σ = 4.065
Thus, 1 standard deviation from the mean is;
58.429 ± 1(4.065)
= (54.364, 62.494)
The values that fall in this range from the given data set are;
58, 58, 59, 62, 58
They are 5 in number out of 7 and so the percentage = (5/7) * 100%
= 71.43%
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Brody runs a farm stand that sells strawberries and grapes. Each pound of strawberries sells for $2.50 and each pound of grapes sells for $2. Brody made $160 from selling a total of 72 pounds of strawberries and grapes. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x,x, and the number of pounds of grapes sold, yy.
The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given that the selling price of strawberries each pound = $2.50,
The selling price of grapes each pound = $2
The total earning = $160
Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,
x = y + 12 and 2.50x + 2y= 160
Solve the equation by substitution method;
x = 32 and y = 20
Therefore, the number of pounds of strawberries sold is 32
the number of pounds of grapes sold is 20.
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The side lengths of a 30-60-90 triangle are in the ratio 1: √3:2. What is
cos 60°?
The value of cos60° is 1/2.
What is a 30-60-90 triangle?It is a triangle with constant angles of 30, 60, and 90. This triangle is always a right triangle, as one of the angles is 90 degrees. Thus, a right-angled triangle is formed by these angles. Additionally, the right angle is equal to the sum of two acute angles, which will have a 1: 2 or 2: 1 ratio.
We know,
For a 30-60-90 triangle, the sides opposite to 30° is a, the side opposite to 60° is √3a and the side opposite to 90° is 2a.
Therefore,
If a = 1,
The sides are where,
perpendicular = 1
Base = √3
Hypotenuse = 2
We know cosΦ = Base/ Hypotenuse
But in the case of cos60°, we have to take base as 1 and hypotenuse as 2, that is the angle has to be at base.
Base = 1
Hypotenuse = 2
Therefore,
cos60° = Base/ Hypotenuse
cos60° = 1/2
Therefore, the cos60° = 1/2.
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The price of a stock steadily decreased by a total of $159 over the past 14 months. Which expression shows the change in the stock's value?
The expression that shows the change in the stock's value is -159 * 14
How to determine the expression that shows the change in the stock's value?From the question, we have the following parameters that can be used in our computation:
Rate of decrement = $159
Duration = 14 months
Using the above as a guide, we have the following:
The expression that shows the change in the stock's value is
Expression = Rate of decrement * Duration
Substitute the known values in the above equation, so, we have the following representation
Expression = -159 * 14
Evaluate the products
Expression = -2226
Hence, the required expression is -159 * 14
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There are 20 cards labeled from 1 to 20 in a bag. A card is randomly selected from the bag.
What is the probability of getting an even number or a 1?
The probability of getting an even number or a 1 is 11/20
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Given that there are 20 cards numbers 1,2... 20.
A card is randomly drawn.
We have to find the probability of drawing either 1 or even card.
P(drawing even card) = no of even cards/total cards = 10/20= 0.5
P(drawing one) = no of 1's/total cards = 1/20 = 0.05
P(drawing both one and even card) = 0 (since impossible)
Hence P(drawing even or one) =0.5+0.05-0
=0.55
= 11/20
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Two sides of a triangle measure 15 inches and 18 inches, respectively. Which of these is NOT a possible length for the third side of the triangle? Responses 36 in. StartFragment, 36 in., 24 in. StartFragment, 24 in., 18 in. StartFragment, 18 in., 4 in.
Answer:.
Step-by-step explanation:
5) An 8-inch dinner knife is sitting on a circular plate so that its ends are on the edge of the plate. If the central angle made by the knife measures 120°, what is the diameter of the plate? Show all work.
6) If the area of a circumscribed square is 324 square feet, then
The diameter of the plate. show all work. will be 9.24 inches. The diameter is double of the hypotenuse.
What is the diameter?
A diameter is a line that travels through the center of an object and intersects the circumference at opposing ends. It measures twice as long as the object's radius.
The radius of the circle becomes the hypotenuse when a right triangle is formed by joining the edge of the knife to the center of the circle and the center of the knife to the center of the circle.
With the help of the trigonometric function, the value of the hypotenuse is found as;
sin60 = 8/h
h = 4.62 inches
The diameter of the plate is double the hypotenuse in the given figure;
D = 2 X h
D = 2 X 4.6
D = 9.8
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Which of the following terms are equivalent to the slope in a proportional relationship? Select all that apply.
a.) Constant Rate of Change
b.) origin
c.) Change in y / Change in x
d.) rise/run
e.) inverse
Answer:
a.) Constant Rate of Change - yes
b.) origin - yes
c.) Change in y / Change in x - yes
d.) rise/run - yes
e.) inverse - Not apply
What is the difference between rate of change and slope coefficient?
The terms rate of change, gradient, slope coefficient, and rise over run are all equivalent to the slope in a proportional relationship. The slope of a line describes the rate at which a variable changes in relation to another variable. Rate of change is the same concept, but it is more general and can be applied to any relationship, not just linear. Gradient is another term for the slope of a line, which is the change in one variable compared to the change in another variable. Slope coefficient is a mathematical term for the slope of a line, which is the ratio of the vertical change to the horizontal change. Rise over run is another term for the slope of a line, which describes the rate of change by measuring the vertical change (rise) over the horizontal change (run). All of these terms describe the same concept, which is the rate of change in a proportional relationship.
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FOR BRAINLIEST Jada's pet turtle walked 10 feet, and then half that length again. b, C. d. Jada's baby brother walked 3 feet, and then half that length again.
Jadas hamster walked 4.5 feet and then half length That again
Jadas robot walked 1 foot then half that length again
a person walked x feet then half that length again
Answer:
a walked x feet then half that length again-step explanation:
6(3w-4y) please help
Answer:
18w-24y
Step-by-step explanation:
distribute
6(3w-4y)
18w-24y
-9k+7>=16 and 5-k<=13
The solution to the inequality -9k + 7 ≥ 16 and 5 - k ≤ 13 is -8 ≤ k ≤ -1
How to determine the solution to the inequality?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
-9k+7>=16 and 5-k<=13
Rewrite the above inequality expressions
So, we have the following representation
-9k + 7 ≥ 16 and 5 - k ≤ 13
Evaluate the like terms in the above inequality expressions
So, we have the following representation
-9k ≥ 9 and - k ≤ 8
Divide both sides of the above inequality expressions by the coefficient of x
So, we have the following representation
k ≤ -1 and k ≥ -8
When the solution is merged, we have
-8 ≤ k ≤ -1
Hence, the solution is -8 ≤ k ≤ -1
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Complete question
Solve for k in -9k+7>=16 and 5-k<=13
Here are yesterday's high temperatures (in Fahrenheit) in 13 U.S. cities.
50, 51, 55, 55, 59, 59, 64, 67, 67, 74, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:
Answer:
To find the five-number summary for a set of data, we need to find the minimum, first quartile, median, third quartile, and maximum of the data. To find the interquartile range, we subtract the first quartile from the third quartile.
The minimum temperature in the list is 50 degrees Fahrenheit. The maximum temperature is 80 degrees Fahrenheit. To find the median, we need to first find the middle value in the list. Since there are 13 temperatures in the list, the middle value is the seventh temperature, which is 64 degrees Fahrenheit.
To find the first and third quartiles, we need to divide the list into two halves at the median. The first half of the list contains the first six temperatures, and the second half contains the last six temperatures. The median of the first half of the list is the average of the third and fourth temperatures, which is 55 degrees Fahrenheit. The median of the second half of the list is the average of the sixth and seventh temperatures, which is 61.5 degrees Fahrenheit.
Therefore, the five-number summary for this data set is:
Minimum: 50
Lower quartile: 55
Median: 64
Upper quartile: 61.5
Maximum: 80
The interquartile range is the difference between the upper and lower quartiles, which is 61.5 - 55 = 6.5.
You are shown TUV below whose measure is 76°. Draw an angle bisector of
LTUV by clicking a dragging a ray out from the vertex at U.
Click and drag to draw a ray from the yellow dot.
To redraw, click and drag from the yellow dot again.
m/TUV = 76⁰
The bisector of the angle TUV is attached below.
What is an angle?
In Euclidean geometry, an angle is the shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The steps to draw a bisector of an angle:
1) Cross both rays with an arc. Place the compass point at the vertex of the angle after opening it to any width. Swing the compass so the pencil creates an arc that spans the angle's two rays.
2) Make a vertical arc inside. Place the compass such that the point is at the spot where the first ray and the first arc connect. Swing the compass to create an arc that fits inside the angle.
3) To intersect the first interior arc, draw a second interior arc. Move the point to the spot where the first arc crosses the second ray without altering the compass's breadth. Draw an internal arc by swinging the compass and intersecting it with the initial interior arc you drew.
4) From the vertex to the spot where the arcs meet, draw a line. To make sure the line is exact, use a straightedge. This line cuts the angle in half.
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Ivanna is draining an aquarium. The graph shows the amount of water (in liters) in the aquarium versus time (in minutes).
(a) At what time does the amount of water in the aquarium reach 0 liters?
minutes
(b) Choose the statement that best describes how the time and amount of water are related. Then fill in the blank.
As time increases, the amount of water in the aquarium decreases.
At what rate is the amount of water decreasing?
liters per minute
As time increases, the amount of water in the aquarium increases.
At what rate is the amount of water increasing?
liters per minute
A linear function gives us the following:
a) At 0 seconds, there are 300 liters of water in the aquarium.
b) The amount of water is losing volume at a rate of 60 liters per minute as time goes on.
Given,
Linear function;-
Modeling a linear function involves:
y = ax + b
That where:
The rate of change, or a, is the slope, or how much y changes when x changes by one.B is the y-intercept, which is also known as the function's starting point and is the value of y at x = 0.The y-intercept in this problem is 300, hence 300 liters of water are present in the tank at 0 seconds.
The quantity drops by 60 liters each minute, so:
Water is losing volume at a rate of 60 liters per minute as time goes on.
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A social security number contains nine digits, such as 952-56-7606. How many different social security numbers can be formed?
First spot: 9 choices (0-9)
Second spot: 9 choices (0-9)
Third spot: 9 choices (0-9)
.
.
.
Ninth spot: 9 choices (0-9)
There are 9 choices for each digit, meaning we need to compute 9^9 to figure out how many possible social security numbers there are.
Explination:
9^9 = 387420489 possible social security numbers
Which two values of x are roots of the polynomial below?
x^2+ 5x + 9
The two values of x that are roots of the polynomial are:
x = -5 + i√11/2
x = -5 - i√11/2
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
x² + 5x + 9 = 0
It is in the form of ax² + bx + c
a = 1
b = 5
c = 9
Using the determinant.
x = -b ± √(b² - 4ac) / 2a
x = -5 ± √(25 - 36) / 2
x = -5 ± √-11 / 2
x = -5 ± i√11/2
Where i = √-1
Thus,
The roots of the polynomial are:
x = -5 + i√11/2 and x = -5 - i√11/2
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Help please, what is the slope and y intercept
slpoe is -1/2 and y-intercept is 2
Professor Conner recorded a base hit 2 times in his 11 at bats. He is not happy about this. What percentage of the time will he record a base hit?
Round to the nearest whole number.
Remember: this is a percentage, not a proportion. Just type the number. You do not need to type the percentage sign.
Percentage of the time will he record a base hit is 18.
To find the percentage of times that Professor Conner recorded a base hit, you need to divide the number of times he recorded a base hit by the total number of at bats, and then multiply by 100%.
In this case, the percentage of times that Professor Conner recorded a base hit would be
= (2 base hits / 11 at bats) * 100%
= 18.2%.
After Rounding off to nearest whole number it becomes 18%.
What is a Base Hit?
A fair ball hit in such a way that the hitter can reach a base safely without a fielding error by the other side.
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Percentage of the time will he record a base hit is 18.
To find the percentage of times that Professor Conner recorded a base hit, you need to divide the number of times he recorded a base hit by the total number of at bats, and then multiply by 100%.
In this case, the percentage of times that Professor Conner recorded a base hit would be
= (2 base hits / 11 at bats) * 100%
= 18.2%.
After Rounding off to nearest whole number it becomes 18%.
What is a Base Hit?A fair ball hit in such a way that the hitter can reach a base safely without a fielding error by the other side.
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Matthew invests $8,586 in a retirement account with a fixed annual interest rate of 5%
compounded continuously. How long will it take for the account balance to reach $23.457"
For each $23.457" borrowed, you would pay about a year $8,586 in interest, as in the case of a credit card with an APR of 5%.
What does annual interest rate mean?An estimate of the annual cost of borrowing money is the annual percentage rate (APR), which is expressed as a percentage of the principal loan amount. An accurate representation of how much borrowing money will cost is sought after by the annual percentage rate (APR) on a credit card or loan. In a different method, the annual percentage rate (APR) of a given loan is the total annual interest payments divided by the loan's outstanding balance. Assuming a credit card with a 10% APR, you would pay $8,586 in interest for every $23.457" borrowed over the course of a year.To learn more about Annual percentage rate (APR) refer to:
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if 47200 dollar is invested at an interest rate of 10 percent per ayear.Find the value o the investment at the end of 5years for the following compunding method,to the nesrset cen.
(a) anually?
(b) semi anual?
(c)monthly?
(d)daily?
Answer:
a. annually
Step-by-step explanation:
anually means yearly, semi anual means twice a year
8. Jay pays a flat fee each month for basic cable service. He also pays $ 3.50 for each movie he orders during the month. Last month, he ordered 5 movies and his total bill came to $ 54.
a. Write an equation in point-slope form that b. What is the monthly flat fee Jay pays represents the total bill, y, in terms of the number each month? of movies, x Then simplify it to slope-intercept form.
c. Next month, Jay plans to order 7 movies.
d. This month, Jay's total bill is $ 78.50.
What will be his total bill for the month?
How many movies did he order this month?
Answer:
y=f+3.5x
Step-by-step explanation:
Let the total bill be y
and let the number of movies be x
let the flat fee be f
given that he pays $3.5 per movie
and his total bill is $54
The expression is given bellow for his total bill
y=f+3.5x
For 5 movies his total bill is $54
54=f+3.5(5)
54=f+17.5
54-17.5=f
f=36.5
Therefore the flat fee is $36.5
Gianna is taking a walking tour in her city. the entire tour is 10 1/10 kilometers long. According to an app on her phone, Gianna's average walking rate is 1.6 meters per second.
Part (A) How many meters does Gianna walk each hour?
Part (B) How many kilometers does Gianna walk each hour?
The distances travelled in each hour for both part are given as 5760 m and 5.76 km respectively.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given problem can be solved by ratio method as follows,
(A) The average walking rate is 1.6 m/s
The speed in meter per hour is calculated as,
1 second = 1/3600 hour
Take the ratio of 1.6 and 1/3600 as follows,
1.6 ÷ 1/3600
= 3600 × 1.6
= 5760
(B) The average walking rate is 1.6 m/s
It implies that 1.6 m in 1 second.
Now, 1 m = 1/1000 km
=> 1.6 m = 1.6/1000 km
And, 1 second = 1/3600 hour
Thus, the distance travelled in kilometer per hour can be evaluated by taking the ratio as follows,
1.6/1000 ÷ 1/3600
= (3600 × 1.6)/1000
= 5.76
Hence, the distances travelled per hour in meter and kilometer are given as 5760 m and 5.76 km respectively.
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Compensation to find 37×4 please broken down showing work
The product of two given numbers 37 and 4 using distributive property is 148.
What is the distributive property?The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
Given that, 37×4.
Using distributive property, we can find the product of two given numbers
That is 37×4
= (30+7)4
= 30×4+7×4
= 120+28
= 148
Therefore, the product of two given numbers using distributive property is 148.
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A technician is setting up a router and would like to increase the security level. Which of the following actions will achieve this? A. Increasing transmission power B. Changing the default admin password C. Installing anti-malware on the router D. Configuring multifactor logon authentication
changing the default admin password will achieve the security level.
What is a router ?
An networking device called a router is used to forward data packets between computer networks. On the worldwide Internet and between networks, routers handle traffic directing. Data packets are the unit of data delivered via a network, such as an email or a web page. An internetwork (such as the Internet) is made up of networks, and a packet is normally passed from one router to another router over those networks until it reaches its destination node.
Default admin password can be known for many people and they can use the internet.
So, changing the default admin password will achieve the security level.
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10. en Vision STEM Sound travels in
waves. In dry air at 20° Celsius, sound
travels about 343 meters in one second
How many meters will sound travel in
7 seconds?
In 2401 meters will sound travel in 7 seconds if In dry air at 20° Celsius, sound travels about 343 meters in one second.
Define distance.The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will reveal the distance if the two points are on the same horizontal or vertical line. Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
Given
Speed = 343 m
Time = 7 seconds
For distance,
Distance = Time × Speed
Distance = 343 × 7
Distance = 2401
In 2401 meters sound will travel in 7 seconds if In dry air at 20° Celsius, sound travels about 343 meters in one second.
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this is serious pls help ASAPPPPPPPPPPPPPPPPPPPPPP its due in 25 mins
Answer:
14,641
Step-by-step explanation:
11^4 = 11 × 11 × 11 × 11 = 121 × 11 × 11 = 1331 × 11 = 14,641
Answer:
14,641
Step-by-step explanation:
10^4 = 10000
11^4 > 10 ^4 so A is the answer
What is the slope of -15x + 10y = 50?
m = 15
m = 2/3
m = 5
m = 1
m = 3/2
Answer:
[tex] \huge{ \boxed{m = \frac{3}{2} }}[/tex]
Step-by-step explanation:
[tex] - 15x + 10y = 50[/tex]
Equation of a line is given by
[tex] \bold{y = mx + c}[/tex]
where
m is the slope
c is the y intercept
To find the slope, we must first rewrite the equation in the given form y = mx + c and compare both equations.
[tex] - 15x + 10 y = 50 \\ \\ 10y = 15x + 50 \\ \\ \frac{10y}{10} = \frac{15}{10} x + \frac{50}{10} \\ \\ y = \frac{3}{2} x + 5[/tex]
Comparing it with the general equation y=mx + c,
[tex]m = \frac{3}{2} \\ [/tex]