Answer:
-4 5/12
Step-by-step explanation:
Belmont is a growing industrial town. Every year, the level of CO2 emissions from the town increases by 10%. If the town produced 330,000 metric tons of CO2 this year, how much will be produced 6 years in the future? If necessary, round your answer to the nearest whole number
Answer:
584,615
Step-by-step explanation:
its rounded by the whole number
Belmont will produce 584,615 metric tons of CO₂ after 6 years, growing at the rate of 10% every year, currently emitting 330,000 metric tons of CO₂.
What do we mean by growth?The value of most things is not constant in this world. If we observe correctly, the value of some of the things rises, while others fall. If there is a rise, we call it growth.
Growth can be determined by the formula,
V = V₀(1+r)ⁿ, where V is the final value, V₀ is the initial value, r is the rate and n is the time.
How do we solve the given question?In the question, we are given that Belmont is a growing industrial town. Every year, the level of CO2 emissions from the town increases by 10%.
We are asked that if the town produced 330,000 metric tons of CO2 this year, how much will be produced 6 years in the future.
As we see that the amount of CO₂ emission is growing, to find the amount of CO₂ emitted in the 6th year, we use the growth formula,
V = V₀(1+r)ⁿ, where V is the final value, V₀ is initial value, r is rate, and n is the time period.
Here, V₀ = 330,000 metric tons, r = 10%, n = 6 years.
∴ V = 330,000(1 + 10%)⁶
or, V = 330,000(1.1)⁶ = 330,000*1.771561 = 548615.13
or, V = 548615 metric tons (rounded to nearest whole number).
∴ Belmont will produce 584,615 metric tons of CO₂ after 6 years, growing at the rate of 10% every year, currently emitting 330,000 metric tons of CO₂.
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Help complete the square in picture please 20 points
Answer:
x = 3 +√43, x = 3 - √43
Step-by-step explanation:
x^2 - 6x - 34 = 0
move the 34 across
x^2 - 6x = 34
take -6 and divide by two, then square it
(-6/2)^2 = 9
add the product to your equation
x^2 - 6 + 9 = 34 + 9
solve
(x - 3)^2 = 43
x - 3 = ± √43
x = 3 ± √43
Is this correct?
I have a test tomorrow tell the answer quickly
Answer:
No, it is not correct. You should divide by 21 and 3.
Step-by-step explanation:
3x=21
x=7
Q 1)
3(x + 5) = 36
3x + 15 = 36
3x = 36 - 15
3x = 21
x = 21/3
x = 7
Verification:
3(x + 5) = 36
3(7 + 5) = 36
3(12) = 36
36 = 36
Hence proved that x = 7
A densidade demográfica ou densidade populacional de uma região é dada pela razão entre o número de habitantes e a área. No último senso do IBGE, o número de habitantes no estado de São Paulo foi de 45 milhões. A área do estado de São Paulo é de 248 210 km2. Dessa forma, a densidade demográfica de São Paulo é de, aproximadamente,
Responda:
181 pessoas / km²
Explicação passo a passo:
Dado que:
Densidade populacional = razão entre o número de habitantes e a área
Número de habitantes em São Paulo = 45 milhões
Área do estado de São Paulo = 248210 km²
Portanto, a densidade populacional de São Paulo:
Número de habitantes / área
45.000.000 pessoas / 2.48210 km²
181,29809 pessoas / km²
= 181 pessoas / km² (aproximadamente
Luis wants to buy a skateboard that usually sells for $79.66. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 6.25%. Round your intermediate calculations and answer to the nearest cent. The total cost of the skateboard is $
Answer:
About $75.08
Step-by-step explanation:
79.66-[{(79.66/100)x12}-{(79.66/100)x6.25}]
79.66-[{0.7966x12}-{(79.66/100)x6.25}]
79.66-[{0.7966x12}-{0.7966x6.25}]
79.66-[9.5592-{0.7966x6.25}]
79.66-[9.5592-4.97875]
79.66-4.58045
75.07955
75.08
can you help find the slope
Answer:
[tex]m=\frac{17}{37}[/tex]
Step-by-step explanation:
When given two coordinates, you must use this formula to find the slope of a line:
[tex]m= \frac{y_{2} - y_{1}}{x_{2}-x{1}}[/tex]
where m is your slope.
So, plug in your coordinates. Remember, a coordinate is denoted by (x,y). So, for example, your [tex]x_{1}[/tex] would be -18 and your [tex]x_{2}[/tex] would be 19.
[tex]m =\frac{4--13}{19--18}[/tex]
[tex]m =\frac{17}{37}[/tex]
And that would be your slope. (Answer choice D.)
What is the slope of the line y
= -4?
Answer:
The slope is 0 or there is no slope.
Step-by-step explanation:
Only a y-intercept of -4.
Answer:
0
Step-by-step explanation:
The slope is defined as rise/run. Since y does not increase at all as x increases, the slope is 0.
PLEASE HURRY!! Find the slope-intercept equation for (-2, -2) and (2, 1)
Answer:
y=3/4 x- 1/2
Step-by-step explanation:
Wouldn’t know how to type this in , but please help 20 points ..
Answer:
f=88
g=60
h=32
x=17
Step-by-step explanation:
Complete the square to transform the expression x2 − 2x − 2 into the form a(x − h)2 k. (x − 1)2 3 (x − 1)2 − 3 (x − 2)2 − 3 (x − 2)2 3
The transformation of the expression [tex]x^{2} -2x-2[/tex] is [tex](x-1)^2 -3[/tex].
Given equation is: [tex]x^{2} -2x-2[/tex]
What is the expansion of the square of (a+b)?The expansion of (a+b)² is a²+b²+2ab.
We can rewrite the given expression as:
[tex]x^{2} -2x+1 -3[/tex]..........(1)
We know that [tex]x^{2} -2x+1[/tex] is the expansion of [tex](x-1)^2[/tex].
So, (1) can be written as:
[tex]x^{2} -2x+1 -3[/tex]
[tex](x-1)^2 -3[/tex]
So, [tex]x^{2} -2x-2 = (x-1)^2-3[/tex]
Therefore, the transformation of the expression [tex]x^{2} -2x-2[/tex] is [tex](x-1)^2 -3[/tex].
To get more about polynomials visit:
https://brainly.com/question/2833285
Answer:
The answer is B. (x-1)^2 - 3
Step-by-step explanation:
HOPE THIS HELPS! JUST HELPING PEOPLE IN NEED!
Zachary purchased a computer for $1,300 on a payment plan. Two months after he purchased the computer, his balance was $1,100. Four months after he purchased the computer, his balance was $900. What is an equation that models the balance y after x months?
Answer:
y = 1300 - 100x
Step-by-step explanation:
Zachary purchased a computer for $1300
The first step is to calculate the purchase he paid after 2 months
= 1,300-1,100
= $200
Then the purchase after 1 month is
= $200/2
= $100 per month
The purchase made after 4 months is
= 1,100-900
= $200
The purchase after a month is
= $200/2
= $100 per month
Therefore the equation that models the balance y after x months is
= initial amount of payment plan - amount per month
y= 1,300 - 100x
give a step by step explanation of how to find the standard form of an ellipse with foci of (-6, 0) and (6, 0), and vertices of (0,8) and (0,-8)
best answer deemed by me gets brainliest
Answer:
Step-by-step explanation:
You need to construct the ellipse then you would be able to find the standard form
Which of the following shows the graph of Y = 2 In x?
Please I need the answer
Hope this helps~! Brainliest is 'preciated if it does!
Is the number 6+1 rational or irrational?
Answer:
Rational
Step-by-step explanation:
An irrational number is any number that cannot be turned into a fraction. 7 can be turned into a fraction.
Let p(x) be a polynomial of degree 4 having extremum at x = 1 ,2 and
[tex]\displaystyle\sf \lim_{x\to 0}\left( 1+\dfrac{p(x)}{x^2}\right) = 2 [/tex]
Then the value of p(2) is ?
PLEASE CHECK THE ATTACHED FILE
We are given that ;
[tex]{\quad \longrightarrow \displaystyle \sf \lim_{x\to 0}\bigg\{1+\dfrac{p(x)}{x^2}\bigg\}=2}[/tex]
Where p(x) is a polynomial of degree 4 , it will help us later, but let's do some manipulations first ;
Can be further written as ;
[tex]{:\implies \quad \displaystyle \sf 1+\lim_{x\to 0}\bigg\{\dfrac{p(x)}{x^2}\bigg\}=2}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\bigg\{\dfrac{p(x)}{x^2}\bigg\}=1}[/tex]
So, here p(x) is polynomial of degree 4, so it will be a biquadratic polynomial, so we will write p(x) in the form of general biquadratic polynomial, so p(x) = ax⁴ + bx³ + cx² + dx + e
Now, first find p(x)/x² ;
[tex]{:\implies \quad \sf \dfrac{p(x)}{x^2}=\dfrac{ax^{4}+bx^{3}+cx^{2}+dx+e}{x^2}}[/tex]
[tex]{:\implies \quad \sf \dfrac{p(x)}{x^2}=ax^{2}+bx+c+\dfrac{d}{x}+\dfrac{e}{x^2}}[/tex]
So now, as [tex]{\bf{x\to 0}}[/tex] , for any values of a, b, c, d and e, the RHS will approach ∞ iff d ≠ e ≠ 0, as the denominator of d and e will be approaching 0 and so the whole limit will be ∞ , but we want the limit to be approaching 1, so when if d = e = 0, the denominator of d and e will be approaching 0 (not absolutely 0), and if d = e = 0, we will have the limit be approaching ax²+ bx + c for x approaching 0 being the limit 1 , and for any values of a, b and c . So now we have ;
[tex]{:\implies \quad \displaystyle \bf \lim_{x\to 0}\dfrac{p(x)}{x^{2}}=\begin{cases}\bf \infty \:, iff\: d\neq e\neq 0 \\ \\ \bf 1\:, iff\: d=e=0\end{cases}}[/tex]
So, now we had to consider the second case, for which the limit is approaching 1, for d = e = 0, so the limand here will just be ax² + bx + c
Now, we so have ;
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}ax^{2}+bx+c=1}[/tex]
Putting the limit we will have ;
[tex]{:\implies \quad \sf c=1}[/tex]
So, now as p(x) have extremum at 1 and 2, so p'(x) = 0, for x = 1, 2 , so now finding p'(x)
[tex]{:\implies \quad \sf p(x)=ax^{4}+bx^{3}+x^{2}\quad \qquad \{\because c=1\: and\: d=e=0\}}[/tex]
So, differentiating both sides wr.t.x ;
[tex]{:\implies \quad \sf p^{\prime}(x)=4ax^{3}+3bx^{2}+2x}[/tex]
Now, p'(1) and p'(2) must be 0
[tex]{:\implies \quad \sf p^{\prime}(1)=4a+3b+2=0}[/tex]
[tex]{:\implies \quad \sf p^{\prime}(2)=32a+12b+4=0}[/tex]
So, now we have ;
[tex]{\quad \longrightarrow \displaystyle \begin{cases}\bf 4a+3b=-2 \\ \\ \bf 32a+12b=-4\end{cases}}[/tex]
On multiplying first equation by 8 on both sides we can thus obtain ;
[tex]{\quad \longrightarrow \displaystyle \begin{cases}\bf 32a+24b=-16 \\ \\ \bf 32a+12b=-4\end{cases}}[/tex]
On solving both the equations we will be having ;
[tex]{\quad \longrightarrow \displaystyle \begin{cases}\bf a=\dfrac{1}{4} \\ \\ \bf b=-1\end{cases}}[/tex]
So , now as d = e = 0, c = 1, a = (1/4), b = -1, so putting all the values in p(x) we can obtain p(x) as ;
[tex]{:\implies \quad \sf p(x)=\dfrac{1}{4}(x)^{4}-(x)^{3}+x^{2}}[/tex]
Now, at x = 2 ;
[tex]{:\implies \quad \sf p(2)=\dfrac{1}{4}(2)^{4}-(2)^{3}+2^{2}}[/tex]
[tex]{:\implies \quad \sf p(2)=4-8+4=8-8}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{p(2)=0}}}[/tex]
This is the required answer
A bag contains 120 balls. The ratio of red to blue balls is 10:2
Find how many red and blue balls there are
Answer:
100 red balls and 20 blue balls.
Step-by-step explanation:
So to find out what you need to multiply the ratio by to get the answer, you add 10 and 2. That's 12. 120/12 is 10. 10:2 times 10 = 100: 20, so there are 100 red balls and 20 blue balls.
Please helpppp
Prove (1-cosA)(1+CosA)(1+cot^2A)=1
Answer:
= 1= RHS
Step-by-step explanation:
shee i got u bud ok LHS-
(1+cot^2A)(1+cosA)(1-cosA)
=Cosec^2A(1-cos^2A)
=1/sin^2A×(sin^2A)
= 1= RHS
Does this graph represent a function?
Answer: The answer is C. Yes, because it passes the vertical line test.
Hope this helps.
Answer:
C. Yes, becuase it passes the vertical line test.
Step-by-step explanation:
Using the vertical line test, you can clearly see the function has one input for exactly each output.
how to find the marked price of an article
Answer:
I don't really know what you mean so I would say to just look on the tag but if you gave more info then I could help you out
[Piece Rate] Rate $3.00; 91 pieces produced
Please help!!!!!!!!!
HELPPP FOR BRAINLEST!!! RIGHT NOW PLEASE
Answer:
1st is correct
Step-by-step explanation:
Like charges repel each other.
HOPE THIS HELP YOU ,FOR ANY QUESTION PLEASE ASK ME
Use a net to find the surface area of the right triangular prism
35 sq. ft.
80 sq. ft.
84 sq. ft.
244 sq. ft
256 sq. ft.
258 sq. ft.
270 sq. ft.
286 sq. ft.
5,040 sq. ft.
Answer:
244 sq. ft.
Step-by-step explanation:
The net for a triangular prism consists of a central rectangle and two triangles. The length of the central rectangle is equal to the perimeter of the triangular faces.
__
The area of the central rectangle of the net is ...
A = LW = (12 +7 +10 ft)(6 ft) = 174 ft²
The two triangles are right triangles, so the area of each is half the product of the leg lengths.
A = 1/2(bh) = 1/2(10 ft)(7 ft) = 35 ft²
Then the sum of the rectangle and two triangles is ...
surface area = 174 ft² +2 × 35 ft² = 244 ft²
one of the pages help my lil cousin out
Answer:(that was a joke)
1.) acute
2.) right
3.) obtuse
4.) acute
5.) obtuse
6.) right
Step-by-step explanation:
if hes doing advanced stuff like isosceles equilateral and that then im sorry for the answer.
What is the definition of an exponential equation?
A.It means the variable is the leading coefficient and it grows at a steady pace
B.It means the variable is in the exponent spot and it grows very quickly
C.It means it is a very large number that we have no control over
D.None of the above
r + 11 + 8r= 29
Show answer
Answer:
r=2
Step-by-step explanation:
r + 8 r + 11 = 29
( 1 + 8 ) r + 11 = 29 9 r + 11 = 29
Now we can isolate and solve for r while always keeping the equation balanced: First, subtract 11 from each side of the equation:
9 r + 11 − 11 = 29 − 11
9 r + 0 = 18
9 r = 18
Now we can divide each side of the equation by 9 to get
r : 9 over 9 = 18 under 9
1 r = 2
r = 2
Answer: r = 2
Steps:
r + 8r + 11 = 29
9r + 11 = 29
9r + 11 - 11 = 29 - 11
9r = 18
r = 2
plz mark brainliest
If someone can tell me the answer and how they got it that would be great
Answer:
A
Step-by-step explanation: You have two variables, the time and the number of cartons. If time wasn't a variable here, the number of cartons would remain static. You need time, otherwise there would be no change. Now that you know there are two variables, the last two choices must not be correct. Between A and B, the difference is that A says every dip is a purchase and B says every horizontal line is a purchase. Obviously, a horizontal line doesn't mean a purchase; it means the time gone WITHOUT a purchase. This leaves you with A.
Help! no links please!! a triangular prism has a base that is 12 cm. its height is 15 cm. what is its volume?
A. 60 cm3
B. 700 cm3
C. 300 cm3
D. 30 cm3
Please help! Thank you
Answer:
B. -3
Step-by-step explanation:
From (-1,4) it goes down 3 (rise) units then 1 unit (run) to the right. Simply, its sloping to the left, so negative.
Solving using slope formula:
y2-y1/x2-x1
4--2/ -1-1
6/-2
3/-1
-3
Answer: B
Step-by-step explanation:
y2-y1/x2-x1
-2-4/1-(-1)
-6/1+1
-6/2
-3
how do i factor n2 - n - 56
[tex] {n}^{2} - n - 56 = [/tex]
[tex](n - 8)(n + 7)[/tex]
_____________________________________________
[tex]a {x}^{2} + bx + c = 0[/tex]
[tex]delta = {b}^{2} - 4ac[/tex]
[tex]x(1) = \frac{ - b + \sqrt{delta} }{2a} \\ [/tex]
[tex]x(2) = \frac{ - b - \sqrt{delta} }{2a} \\ [/tex]
_____________________________________________
[tex] {n}^{2} - n - 56 = 0[/tex]
[tex]delta = ({ - 1})^{2} - 4(1)( - 56)[/tex]
[tex]delta = 1 + 224[/tex]
[tex]delta = 225[/tex]
Thus ;
[tex]n(1) = \frac{ - ( -1) + \sqrt{225} }{2 \times 1} \\ [/tex]
[tex]n(1) = \frac{1 + 15}{2} \\ [/tex]
[tex]n(1) = \frac{16}{2} \\ [/tex]
[tex]n(1) = 8[/tex]
And[tex]n(2) = \frac{ - ( - 1) - \sqrt{225} }{2 \times 1} \\ [/tex]
[tex]n(2) = \frac{ 1 - 15}{2} \\ [/tex]
[tex]n(2) = - \frac{14}{2} \\ [/tex]
[tex]n(2) = - 7[/tex]
So[tex]n(1) = 8[/tex]
[tex]n(1) - 8 = 0 \: \: \: (\alpha )[/tex]
[tex]n - 8 = 0 \: \: \: \: ( \alpha )[/tex]And[tex]n(2) = - 7[/tex]
[tex]n(2) + 7 = 0 \: \: \: \: \: ( \beta )[/tex]
[tex]n + 7 = 0 \: \: \: \: ( \beta )[/tex]_____________________________________________
[tex] \alpha \times \beta = [/tex]
[tex](n - 8)(n + 7)[/tex]