Answer:
6:4:3
Step-by-step explanation:
Use 7 to simplify
It is estimated that world reserves of oil currently stand at 2625
billion units. Oil is currently extracted at an annual rate of 45.5
billion units and this is set to increase by 2.6% a year. After how
many years will oil reserves run out
Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...
[tex]\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)[/tex]
We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
مل
Amy is adding two numbers. She got the answer
which is 2003 However she copied the question wrong.
The one's column of the first number should be 7. she
wrote it to I. The hundred's column
of
the second number
should be 2. she wrote it to 3. What is the correct ansuel
if she copied it correctly?
Answer:
2999
Step-by-step explanation:
There's a lot of possibilities bc it didn't mention any tens columns.
PLEASE HELP ME WITH GEOMETRY
Answer:
The answer is A.
Step-by-step explanation:
It is A because both sides match up except for the last pair, where they are the same. Hope this helped!
A rectangle has a length of x + 7 and a width of x-2. Which equation below describes the perimeter, P, of
the rectangle in terms of x?
Answer:
P = 4x + 10
Step-by-step explanation:
perimeter of a rectangle = 2( width + length )
P = 2 ( x - 2 + x + 7 )
P = 2 ( x + x + 7 - 2 )
P = 2 ( 2x + 5 )
P = 4x + 10
help me plsssssssssssssssssssssssssss
Answer:
This answer would be c
Step-by-step explanation:
what is the exact value of cos(11 π/12)
Answer:
[tex]-\frac{1}{4}(\sqrt{2}+\sqrt{6})[/tex]
Step-by-step explanation:
[tex]cos(\frac{11\pi}{12})[/tex]
[tex]cos(\frac{2\pi}{3}+\frac{\pi}{4})[/tex]
[tex]cos(\frac{2\pi}{3})cos(\frac{\pi}{4})-sin(\frac{2\pi}{3})sin(\frac{\pi}{4})[/tex]
[tex](-\frac{1}{2})(\frac{\sqrt{2}}{2})-(\frac{\sqrt{3}}{2})(\frac{\sqrt{2}}{2})[/tex]
[tex]-\frac{\sqrt{2}}{4}- \frac{\sqrt{6}}{4}[/tex]
[tex]-\frac{1}{4}(\sqrt{2}+\sqrt{6})[/tex]
Helpful Tips:
Sum Identity: [tex]cos(\alpha+\beta)=cos(\alpha)cos(\beta)-sin(\alpha)sin(\beta)[/tex]
Worth 12 points do it soon pls
Step-by-step explanation:
9+(-5)=4
-8-4=-12
8-(-4)=12
-9+5=-4
Hope this helps, just go connect the equation to the answer that I put.
RULES
If you have a minus and a minus (- -) it is equal to +
If you have Plus and Minus (- +) it is equal to -
The first one when simplified is 9-5=4
The second one Simplified is -8-4=-12
The third one simplified is 8+4=12
The fourth one simplified is -9+5=-4
I hope this helped and that you got the concept. If you have questions, ask me
Ps. If you mark me branliest it would-be very appreciated
A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can be
said about the parabola?
Answer:
A.
Step-by-step explanation:
If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?
Answer:
i think factor the expression (r+7)(r+14) is answer
Step-by-step explanation:
Answer:
(r + 14)
Step-by-step explanation:
When factoring a trinomial in the form of:
[tex]ax^2+bx+c[/tex]
you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:
1, 98
2, 49
7, 14
and the reverse of all of those is also true.
Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:
[tex]r^2+21r+98\\r^2+7r+14r+98[/tex]
Finally, you can factor each half of this individually.
[tex](r^2+7r)+(14r+98)\\r(r+7)+14(r+7)\\(r+14)(r+7)[/tex]
We were already given (r + 7), so the answer is (r + 14).
Jake has $120 to spend for a party. Juice costs $8. Pizza costs $12. Write the standard equ.
how much juice and pizza Jake can buy?
Answer:
$8x + $12y = $120
Step-by-step explanation:
x = amount of juice
y = amount of pizza
$120 = his total money
The Falcons had 3 fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears?
Determine the slope from the given graph below:
The slope is−17
The slope is 5
The slope is 7
The slope is -5
Answer:
The slope is positive 7
Step-by-step explanation:
The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)
Answer:
The slope is 7
Step-by-step explanation:
(1,2)(0,-5)
[tex]m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7[/tex]
Hope this helps
Hayley is considering two gym membership plans. The plans are detailed here. Plan One: $40 for a monthly pass plus $4 for each gym visit Plan Two: $12 for each gym visit. Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?
y=40x+4
y=4x+40
y=12x
y=3x+50
please help
Answer:
Plan One: y=4x+40
Plan Two: y=12x
Step-by-step explanation:
Please answer question below (80)
Answer:
The last one is the right answer .
A hole needs to be at least 40 feet below ground level. This means it needs to be more than 2 times its current depth.
represented by the inequality 2d<-40, where d is the current depth of the hole.
Select from the drop-down to correctly interpret the solution of this inequality.
The current depth of the hole is Choose.
feet below ground level
The current depth of the hole is at least 20 feet below ground level.
Inequality is an expression that shows the non equal comparison of numbers and variables.
Let d represent the current depth of the hole.
To be at least 40 feet below ground level, he need more than 2 times its current depth.
2d < -40
d < -20
Hence the current depth of the hole is at least 20 feet below ground level.
Find out more on inequalities at: https://brainly.com/question/11613554
Answer:
20 feet below
Step-by-step explanation:
How many sides does the regular polygon have if each interior angle measure is four times the (1 point)
measure of each exterior angle measure?
Answer:
The exterior and interior angles must add up to 180 degrees. Thus, 180 divided by five gives the exterior angle as 36 degrees (and hence the interior angles as 144 degrees).
Answer:
10 Sides
Step-by-step explanation:
Int Angle + Ext Angle = 180
4Ext + Ext = 180
Ext = 36 degrees
-----
360/36 = 10 sides
Help plz I don’t get it
Answer:
x = 15
Step-by-step explanation:
you divide 15 by 3 first because of pemdas
15 divided by 3 = 5
4 + 5 = 9
Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?
A.Amaya made a mistake because 4 is not equal to 5.
B.No values of x make the equation true.
C.All values of x make the equation true.
D.The solution is x=4 or 5.
Answer:
B.
Step-by-step explanation:
4 is of course not equal to 5 so no values of x make the equation true.
There are no solutions to this equation.
Write g(x)=40x+4x2 in vertex form
The expression 0.6+0.08n can be used to find the cost, in dollars, of making n photocopies. How much will clayton have to pay to make 32 photocopies?
Answer:
26.2
Step-by-step explanation:
Answer:
$3.16
Step-by-step explanation:
0.6+0.08n
Since n represents photocopies, then we replace n with 32.
0.6+0.08(32)
Now we multiply.
0.6+2.56
Finally, add.
0.6+2.56=3.16
So, Clayton will have to pay $3.16 to make 32 photocopies.
-hope it helps
PLEASE HELP I HAVE A TIME LIMIT ON THIS!!
Avery had 25.92 in her wallet. If she bought lunch with 7 1/2 dollars from her wallet, how much did she have in her wallet after lunch?
Select the correct answer from each drop-down menu.
what is 1 plus 1
I need help! Whoever can solve this I'll give you the brainliest!
Answer:
it should be 21 if I did this right.
Step-by-step explanation:
you multiply the width times the length (6 × 7) =42 then 882 divided by 42 to get 21
4x+6<-6 how to solve
Answer:
The answer is below.
Step-by-step explanation:
4x<-6-6
4x<-12
x= -3
Inequality form:
x< -3
Interval Notion:
(-8,-3)
Note: Turn the -8 on the sideways on the right, because its not 8.
Answer: x < -3
Step-by-step explanation: 4x+6=-6
-6 -6
4x/4 -12/4
x<-3
It cost Joseph $21.90 to send 146 text messages. How many text messages did he send if he spent $6.45?
Answer:
43 messages
Step-by-step explanation:
Given:
146 messages = $21.90
x messages = $6.45
Finding x by cross-multiplication:
x = 146*6.45/21.90 = 43
Hope this helps! :)
PLEASE HELP -7y + 11 = 75 + y
Answer:
y = -8
Step-by-step explanation:
-7y + 11 = 75 + y
Bring the "y" variable on one side, and rest on the other.
Rearranging, we get,
-7y - y = 75 - 11
-8y = 64
-y = 8
y = -8
Hope it helps :)
the points (0, p) and (1, 4) lie on a line with a slope of 3. what is the value of p?
Answer:
p=1
Step-by-step explanation:
[tex]\frac{4-p}{1-0}[/tex]=3
4-p=3
p=1
two piers, a and b, are located s km away from each other along a river. a motorboat, with a speed of v km/hour in still water, is cruising between the two piers. How much time t (in hours) will the motorboat need to get from pier a to pier b and back, if the speed of the current is 5km/hour? find t if: s=105 v=40
Answer:
speed in still water is v=40 speed of current
The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?
You can use the definition of a function to classify which mapping is a function and which mapping is not a function.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
What is a function?There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.
Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.
So, for a mapping to be function, we need each input to be mapped to only one output.
Using above definitionFor group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.
For group 2, we see that each input has only one output, thus,this group represents a function.
Remember that we assumed that the pair of points were written as
(input, output)
Thus.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
Learn more about functions here:
https://brainly.com/question/13395697