For each of the values of GPD, use the regression equation to predict the carbon dioxide emission amount is 1300.715.
What is carbon dioxide ?
Our atmosphere contains carbon dioxide, an odorless and colorless gas. According to its chemical composition, CO2, it is made up of one carbon atom joined to two oxygen atoms. It is a waste product created both by burning fossil fuels and by human bodies.
Given regression eq.
\($$\hat{y}=166.92+115.725$$\)
* Given \($x=2.6$\)
\($$\begin{aligned}& \hat{y}=166.9(2.6)+115.725 \\& \hat{y}=549.665\end{aligned}$$\)
* Given \($x=4.0$\)
\($$\begin{aligned}& \hat{y}=166.9(4.0)+115.725 \\& \hat{y}=783.325\end{aligned}$$\)
* Given \($x=7.1$\)
\($$\hat{y}=166.9(7.1)+115.725$$\)
\(\hat{y}=1300.715\)
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These expressions represent four numbers. The value of the median of the expressions is 12.
Answer:
Try retyping ,which expressions ..?? Maybe it didn't come out
Answer:
15
Step-by-step explanation:
Actual Question:
These expressions represent four numbers. The value of the median of the expressions is 12.
x , 2x, 6x, 11x
Work out the value of the mean of the expressions.
_____________________________________________
See the attachment for steps.
Tiana is looking up her county's census data for a school project. Her county conducts a census every decade. She finds that the population was about 641,000 the year she was born, and that it had decreased to about 634,590 a decade later. Tiana reads that the population of the county is expected to continue decreasing each decade.
Write an exponential equation in the form y=a(b)x that can model the county population, y, x decades after Tiana was born.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
How many decades after Tiana was born will the county population fall below 600,000?
decades
The exponential function that can model the county population, y, x decades after Tiana was born, is:
\(y = 641000(0.99)^x\)
The population will fall below 600,000 in 6.6 decades after Tiana was born.
What is an exponential function?The definition of the exponential function is presented as follows:
\(y = a(b)^x\)
In which the parameters of the exponential function are presented as follows:
a is the initial value.b is the rate of change.In the context of this problem, the values of these parameters are given as follows:
a = 641000, which is the initial population.b = 634590/641000 = 0.99.Hence the function is:
\(y = 641000(0.99)^x\)
The population will fall below 600,000 when y = 600000, hence:
\(y = 641000(0.99)^x\)
\(600000 = 641000(0.99)^x\)
\((0.99)^x = \frac{600000}{641000}\)
\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)
\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)
\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)
x = 6.6 decades.
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Need help will give brainliest and 5 stars! :)
The logarithmic function can be written exponentially as follows.\(t = 8^y.\)
What is logarithmic function?Exponents and logarithms are inverse operations of one another. We can rewrite an equation in logarithmic form as log_a(b) = x if it has the form axe = b. A number's logarithm is the exponent that must be raised in order to obtain that number. For instance, since 102 = 100, log_10(100) = 2. Similar to this, we can express an equation in exponential form, such as axe = b, if it is in logarithmic form, such as log_a(b) = x. The inverse function of the logarithmic function is the exponential function. As a result, when we apply a logarithm to an exponential expression, the original exponent is returned, and the opposite is true.
The given logarithmic expression is \(log_{8}(t) = y.\)
We know that if we have an equation in the form \(a^x = b\), we can rewrite it in logarithmic form as \(log_a(b) = x\) and vice versa.
Thus, \(log_{8}(t) = y\)
\(t = 8^y\)
Hence, the logarithmic function can be written exponentially as follows.\(t = 8^y.\)
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x2 + 8 ÷ 6= x says to solve
Rewrite the equation as:
\(x^2-x+\frac{8}{6}=0\)Let's use quadratic formula:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Where:
a = 1
b = -1
c= 8/6
\(\begin{gathered} x=\frac{-(-1)\pm\sqrt[]{(-1)^2-4(1)(\frac{8}{6})}}{2(1)} \\ \\ x=\frac{1\pm\sqrt[]{1-\frac{16}{3}}}{2} \\ \\ x=\frac{1\pm\sqrt[]{-\frac{13}{3}}}{2} \\ \\ x=\frac{1\pm\frac{\sqrt[]{39}}{3}i}{2} \\ \\ \end{gathered}\)Simplify:
\(\begin{gathered} x=\frac{1}{6}(3-i\sqrt[]{39}) \\ or \\ x=\frac{1}{6}(3+i\sqrt[]{39}) \end{gathered}\)a triangular field has boundaries of lengths 170m,195m and 210m,find the size of the largest interior angle of the field
The size of the largest interior angle of the field is 69.86°
What is cosine law?The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,
We know that, angle opposite to the largest side is largest,
Therefore,
The largest angle is opposite is 210 m side, (say c)
Using the cosine rule,
210² = 170²+195²-2(170)(195)cosC
CosC = 170²+195²-210² / 2(170)(195)
CosC = 22825 / 66300
CosC = 0.344268477
C = 69.86°
Hence, the size of the largest interior angle of the field is 69.86°
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Helpppppppppppppppppp
Answer:
Help with what?
Step-by-step explanation:
I would be happy to answer but you need to attach a question.
In this formula, C represents the total charge for babysitting and I represents the
number of hours the child is kept. How much should Joe pay if his child is at the
babysitting service for 3 hours?
C = $5.25 + $2.50H
Please help
Answer:
12.75
Step-by-step explanation:
Ez
Use the scale drawing to determine how wide the duck pond is? A. 18 feet B. 27 feet C. 49.5 feet D. 55.5 feet
The width of the duck pond is,
⇒ 27 feet
We can see that the given diagram is a rectangle,
And we know that,
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Now, By given diagram we have;
We have to given that;
Use the scale drawing to determine how wide the duck pond is.
And there are 4.5 feet in 1 square,
Therefore,
1 square is equal to 4.5 feet
So, we get;
The width of the duck pond is,
⇒ 6 square
We know that,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Then to find width of duck pond in feet,
Multiply 6 with 4.5
⇒ 6 × 4.5 feet
⇒ 27 feet
Thus, The width of the duck pond is,
⇒ 27 feet
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The product of seven and the difference between a number and ten
Answer:
7(x-10)
Step-by-step explanation:
7×(x-10)
you ×7by whatever x-10 is
The given statement will be equal to 7(x - 10) as per linear equation.
What is a linear expression?A linear expression is an expression that has one or multiple variables with the highest degree of 1.
Let, x is any number.
Now, the difference between the number and 10 will be = (x - 10).
Therefore, the product of seven and the difference between a number and ten is = 7 × (x - 10).
Therefore, 7(x - 10) is the algebraic expression represent the given statement.
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Please help fast!!!!!!!
Answer: 156.38 m
Step-by-step explanation:
Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)
Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.
Answer:
Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.
Step-by-step explanation:
Answer:
Terms: addition, division, multiplication
Constants: 9 and 2
Coefficients: 4 and 3
I think these are the right answers, I am so sorry if they are wrong!!
2.
-6
5
-2
-1
2
0
-5
3
5
Vertex (give me the x and y coordinate):
Max or Min?:
Domain:
Range:
Zeroes (just tell me how many):
Axis of Symmetry:
Y-Intercept:
TE
The price of a share of one stock rose from $12.50 to $50. Find the percent increase.
Answer:
50-12.50= 37.50
37.50/12.50 x100% =300%
Answer:
300%
Step-by-step explanation:
→ Work out the difference between the 2 numbers
$50 - $12.50 = $37.50
→ Divide it by the original
$37.50 ÷ $12.50 = 3
→ Multiply it by a hundred
300%
Can you help me please asap
The general solution to the given differential equation is:
y = (x/12) - (1/288)
How to solve the Differential Equation?
We want to solve the differential equation given as: y' - 24xy = -2x
The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).
Multiplying the entire equation by the integrating factor, we get:
e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)
The left side of the equation is the derivative of (e^(-24x)y) with respect to x:
(d/dx)(e^(-24x)y) = -2xe^(-24x)
Integrating both sides with respect to x, we have:
e^(-24x)y = ∫(-2xe^(-24x))dx
Integrating the right side, we get:
e^(-24x)y = -∫(2xe^(-24x))dx
To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):
u = -2x (differential of u = -2dx)
dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)
Using the integration by parts formula:
∫uv dx = uv - ∫v du
We can compute the integral as follows:
-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]
= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]
= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]
= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]
= -[x/12e^(-24x) - 1/(288e^(-24x))]
= -[x/12 - 1/288]e^(-24x)
Substituting this back into the previous equation, we have:
e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]
Simplifying further:
e^(-24x)y = (x/12 - 1/288)e^(-24x)
Canceling out e^(-24x) on both sides:
y = x/12 - 1/288
Therefore, the general solution to the given differential equation is:
y = x/12 - 1/288
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As the standard deviation (σ) decreases, the width of the confidence interval _______________.
Answer:
increases
Step-by-step explanation:
The width of the confidence interval decreases as the sample size increases.
When there is the decrease in the standard deviation so the width of the confidential interval should be increased.
Given that,
There is the decrease in the standard deviation. We have to know the status of the confidence interval width.Based on the above information, the following information should be considered.
When the confidence interval width should be decreased because there is an increase in the sample size. Also, there is an inverse relationship between both of them.Therefore we can conclude that when there is the decrease in the standard deviation so the width of the confidential interval should be increased.
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WIll GIVE 100 PTS FOR CORRECT ANSWER AND BRAINLYEST
Step-by-step explanation:
The solution to a system of equations can be found graphically by determining the point of intersection between the two lines representing the equations. This can be done by graphing the two equations on the same coordinate plane and identifying the point where the two lines intersect.
To find the slope of the graphs, we can use the formula:
slope = (change in y) / (change in x)
where (change in y) represents the difference in y-coordinates between two points on the line, and (change in x) represents the difference in x-coordinates between the same points. The slope is the ratio of the change in y to the change in x.
The y-intercept of a linear equation represents the point where the line intersects the y-axis, or where x = 0. It is the value of y when x = 0, and can be found by solving the equation for y when x = 0.
If two equations have the same slope and y-intercept, they are parallel lines and do not intersect. Therefore, there is no solution to the system of equations. If two equations have different slopes and different y-intercepts, they will intersect at a single point, which represents the solution to the system of equations.
Answer:
It is the coordinate pair at the place where the two linear graphs intersect.
please lmk if im correct or incorrect
What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive
The price of a watch was increased by 20% to £198.
What was the price before the increase?
Answer:
165
Step-by-step explanation:
198/1.2 = 165
Determine the equation of the line below using the given slope and point.
Slope = m = 4 , Point (-3,-11)
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)
The equation is:
⇨ y + 11 = 4(x + 3)Work/explanation:
Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),
where m is the slope and (x₁, y₁) is a point on the line.
Plug in the data:
\(\rm{y-(-11)=4(x-(-3)}\)
Simplify.
\(\rm{y+11=4(x+3)}\)
Hence, the point slope equation is y + 11 = 4(x + 3).Simplified to slope intercept:
\(\rm{y+11=4x+12}\)
\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation
SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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Martha went to a restaurant with some friends. The three of them split a large pizza. Martha then ordered a large soda for $5. Martha spent a total of $11. How much was the large pizza? (pls!!!!)
Answer:
$6
Step-by-step explanation:
there was 11 total and 5 went into the soda and 6 went into the pizza so it's 6.
If annual interest rate is 8.25% on 90,900.00 What is my interest for 1/2 a month. It's for 8 years.
To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:
Total number of months = 8 years x 12 months/year = 96 months
Next, we can calculate the interest for half a month:
Interest = Principal x Rate x Time
Where:
- Principal = $90,900.00
- Rate = 8.25% (annual interest rate)
- Time = 0.5/12 years (half a month, expressed in years)
Rate needs to be converted to a monthly rate, so we divide it by 12:
Rate = 8.25% / 12 = 0.6875% (monthly interest rate)
Time needs to be expressed in years, so we divide it by 12:
Time = 0.5/12 years
Now we can calculate the interest:
Interest = $90,900.00 x 0.006875 x 0.0416667
Interest = $25.08 (rounded to the nearest cent)
Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.
Answer:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64
Step-by-step explanation:
Make a plan:
Monthly Interest Rate: 8.25% / 12 = 0.006875Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64Solve the problem:The monthly Interest Rate is 8.25% / 12 = 0.006875 (Ground Truth)Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875 (ground truth).Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64 (ground truth).Draw the conclusion:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64Hope this helps!
. Eado fime Blend buys lunch at school, the balance on her school lunch account changes
by 53. Last month, Eiend's balance changed by-536 in all. She wants to know how
many times she bought lunch last month
Which expression represents the number of times
Een bought lunch last month?
- 36 - 3
-263
No LINKS
Answer:
-36 ÷ -3
Step-by-step explanation:
Change in her school lunch account balance per lunch = -3
Total change in her school lunch balance last month = -36
Expression to show number of times Elena bought lunch last month = Total change in her school lunch balance last month ÷ Change in her school lunch account balance per lunch
= -36 ÷ -3
= -36/-3
= 12 times
Elena bought lunch 12 times last month
The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of six per hour.
(a) What is the probability that exactly three arrivals occur during a particular hour? (Round your answer to three decimal places.)
(b) What Is the probability that at least three people arrive during a particular hour? (Round your answer to three decimal places.)
(c) How many people do you expect to arrive during a 15-min period?
Answer:
a) P(x=3)=0.089
b) P(x≥3)=0.938
c) 1.5 arrivals
Step-by-step explanation:
Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.
The variable X is modeled by a Poisson process with a rate parameter of λ=6.
The probability of exactly k arrivals in a particular hour can be written as:
\(P(x=k)=\lambda^{k} \cdot e^{-\lambda}/k!\\\\P(x=k)=6^k\cdot e^{-6}/k!\)
a) The probability that exactly 3 arrivals occur during a particular hour is:
\(P(x=3)=6^{3} \cdot e^{-6}/3!=216*0.0025/6=0.089\\\\\)
b) The probability that at least 3 people arrive during a particular hour is:
\(P(x\geq3)=1-[P(x=0)+P(x=1)+P(x=2)]\\\\\\P(0)=6^{0} \cdot e^{-6}/0!=1*0.0025/1=0.002\\\\P(1)=6^{1} \cdot e^{-6}/1!=6*0.0025/1=0.015\\\\P(2)=6^{2} \cdot e^{-6}/2!=36*0.0025/2=0.045\\\\\\P(x\geq3)=1-[0.002+0.015+0.045]=1-0.062=0.938\)
c) In this case, t=0.25, so we recalculate the parameter as:
\(\lambda =r\cdot t=6\;h^{-1}\cdot 0.25 h=1.5\)
The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.
\(E(x)=\lambda=1.5\)
HELP (THE OPTIONS FOR CHOOSE IS yes no yes no yes no yes no) AND NO PUTTING FAKE ANSWERS OR PUTTING NOT CORRECT ANSWERS LIKE answer:e step by step explanation:e PLEASE NONE OF THAT
Yes, she did buy additional carrot seed. No, the total number of seeds was 1120. No, the total price is $171. She did buy more maize and beans than carrots.
What is multiplication?Multiplication is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and division. A product is the outcome of a multiplication operation. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilize every day. When we multiply two numbers, the result is known as the product. The multiplicand is the number of items in each group, and the multiplier is the number of such equal groupings. In our situation, the multiplicand is, the multiplier is, and the product is 6.
Here,
Beans=12*40
=480
cost of beans=12*5
=$60
Carrot=15*36
=540
cost of carrot=15*7
=$105
Corn=2*50
=100
cost of corn=2*3
=$6
Total seeds=1120
Total cost=$171
Yes she bought more of carrot seed. No the total seeds was 1120. No the total cost is $171. Yes she bought more corn and beans than carrot.
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Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?
13.25%
6.06%
3.78%
Sally's average annual percentage gain is approximately 5.26%.
To calculate Sally's average annual percentage gain, we can use the formula:
Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100
Profit = $2500
Initial Investment = $19000
Time = 2.5 years
Substituting the values into the formula:
Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100
= (0.1316) * (0.4) * 100
= 5.26
Therefore, Sally's average annual percentage gain is approximately 5.26%.
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I will give brainliest if you get this correct
Answer: 1
Step-by-step explanation:
|X|/X=1
Applying limit x approaches to zero remains 1
You can use the equation A =(HW/3600)^1/2
to approximate a person's body surface area A (in square meters), where H
is height (in centimeters) and W is weight (in kilograms). Approximate the body surface area of a person with a height
of 160 centimeters and a weight of 64 kilograms.
Body surface area:______
m²
The body surface area is given by the equation A = 1.6865 m²
What is an 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.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the body surface area be represented as A
Now , the equation will be
A = ( HW / 3600 )^1/2
A = √( HW / 3600 ) be equation (1)
where H is the height in centimeters and W is the weight in kilograms
Now , the value of H = 160 cm
The value of W = 64 kg
Substituting the values in the equation , we get
A = √ [ ( 160 x 64 ) / 3600 ]
On simplifying the equation , we get
A = √ ( 10240/3600 )
A = √ ( 2.8444 )
A = 1.6865 m²
Therefore , the body surface area is 1.6865 m²
Hence , the equation is A = 1.6865 m²
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QUESTION: WHATS BETTER
APPLE JUICE OR ORANGE JUICE
Answer:
orange juice is better than Apple Juice
This function describes the time, t(d), in seconds, an object takes to hit the ground after falling d feet.
t (d) =sqrt{d/16}
How long will it take for an object to fall 1,600 feet?
A. 4 seconds
B. 10 seconds
C. 100 seconds
D. 160 seconds
Answer:
help me plzz
Step-by-step explanation:
The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = π minutes