Answer: x = 2 , − 2.5
solve the equation 12n-60
Answer:
n-5
Step-by-step explanation:
"For which value of c does Limit of f (x) as x approaches c not exist?"
The limit does not exist at the jump discontinuity at x = -2.
From the left, the green-ish curve approaches 4; from the right, the orange curve approaches 6. These one-sided limits are not equal, so the two-sided limit does not exist.
A limit of a function does not exist at a point x is the limit of f(x) approaching x to the left is different of the limit of f(x) approaching x to the right.
Using this concept, we find that the limit does not exist at c = -2.
Points we need to verify:
Points in which there are changes in the definition of the function, which are:
x = -4, -2, 2, 4
At x = -4
The definitions are bunched together, so the lateral limits are the same, and the limit exists.
At x = -2
As the function approaches x = -2 to the left(x < -2), its value is close to 4, so the limit is 4.
As the function approaches x = -2 to the right(x > -2), its value is close to 6, so the limit is 6.
Since the lateral limits are different, for c = 2, the limit does not exist, and this is the correct answer.
At x = 2
The lateral limits are the same, the only thing that changes is the definition of the function at x = 2, which does not affect the limit, which exists.
At x = 4
The definitions are bunched together, so the lateral limits are the same, and the limit exists.
For more on lateral limits, you can take a look at https://brainly.com/question/23405626
Which expression is equivalent to 5 + 15x?
0 A. 5(1 + 3x)
ОВ. 1(5 + 3x)
Ос. 3(5 + х)
OD. 5(3x)
оооо
Answer:
A. 5(1 + 3x)
Step-by-step explanation:
5(1 + 3x)
(5 × 1) + (5 × 3x)
5 + (5 × 3x)
5 + 15x
A works. Let's check the rest.
1(5 + 3x)
(1 × 5) + (1 × 3x)
5 + (1 × 3x)
5 + 3x
B does not work.
3(5 + х)
(3 × 5) + (3 × x)
15 + (3 × x)
15 + 3x
C doesn't work.
5(3x)
5 × 3x
15x
B, C, and D do not work.
Use the equation √4x+15 - 3√x How many potential solutions are there?
Answer:
potential solutions- 1
extraneous solutions- 0
solution to equation- x=3
Step-by-step explanation:
A maximum regulation-sized soccer field is 360 ft. by 225 ft. What is the area?
Answer:
The last one, 81000 sq ft.
Step-by-step explanation:
To find area, you do length times width.
81,000 ft. squared
will give brianlist
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
120 millimeters
12 millimeters
1,200 millimeters
1.2 millimeters
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
Answer:
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
Find the sum of all numbers 1 to 1000
Answer:
it is 500500
Step-by-step explanation:
learned this fact a few years ago and it stuck with me.
Suppose you go to a company that pays 0.05 for the first day, 0.1 for the second day, 0.2 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 30 days ?
Total Income =
Answer:
I think the correct answer is $26,843,545.6
Step-by-step explanation:
identify the domain and range of the relation
{(4, 2), (1, 3), (0, 0), (-1, -1), (1, -3)
Answer:
So, the domain are:
[tex]x = 4,1,0,-1[/tex]
The range are:
[tex]y = 2,3,0,-1,-3[/tex]
Step-by-step explanation:
Given:
[tex]\{(4, 2), (1, 3), (0, 0), (-1, -1), (1, -3)\}[/tex]
Required
The domain and the range
In relation, we have:
[tex]\{(x_1, y_1), (x_2, y_2), ......, (x_n, y_n)\}[/tex]
Where the x values are the domain and the y values represent the range.
So, the domain are:
[tex]x = 4,1,0,-1[/tex]
The range are:
[tex]y = 2,3,0,-1,-3[/tex]
Help??????? Anyone.
Answer: if the second angle is vertical to the first one, then they will both have the same degrees which is 131°
Step-by-step explanation:
Which theorem is the following?
"If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment"
Answer:
Perpendicular bisector theorem
Step-by-step explanation:
The illustration of the theorem is:
If point B is a perpendicular bisector of Line AC and the length of AC is 10cm
Then
[tex]AB + BC = 10[/tex]
Where
[tex]AB = BC[/tex] --- Perpendicular bisector
So, the equation becomes
[tex]AB + AB =10[/tex]
[tex]2AB =10[/tex]
[tex]AB = 5[/tex]
Recall: [tex]AB = BC[/tex]
[tex]AB = BC = 5[/tex]
Tues. 2.15 Question: Mr. Becker solved the
following equation: 10x = 3x + 21. He got an an
answer of X=2. Did Mr. Becker get the answer
correct? If not, what did he do wrong.
Answer:
YES X=3
Step-by-step explanation:
10x=3x+21
-3x -3x
7x=21
________ . *DIVIDE BY 7 on each side
7 7
X=3
what fraction has the same value as 8/24
Answer:
8/24 = 1/3
Step-by-step explanation:
divide numerator and denominator by 8
If ABCD is a parallelogram, m
A
B
(3x + 4)º
D
xº
C
Equation:
X=
(PLEASE HELP)
Answer:
x is 44 because
3x+4+x=180
4x=180-4
4x=176
x=44
marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type per hour? Round to the nearest hundredth.
Answer:
5.34 pages/h
Step-by-step explanation:
4/45 = p/60
p ≈ 5.34
Answer:
Step-by-step explanation:
3/4 of an hour is the same as 0.75
Write a proportion.
4 (pages)/0.75 (hours)=p(pages)/1 hour
Cross multiply and divide
(4x1)÷0.75=5.33 (rounded to the nearest hundred)
p=5.33
Marcia can type 5.33 pages per hour.
Belle deposited money into a savings account. This table gives the value of her account for the first 14 months after the initial deposit. The data can be modeled using an exponential function.
Years 2 4 6 8 10 12 14
Account value $106 $113 $119 $126 $135 $143 $152
Based on the data, which amount is closest to the value of the account 24 months after the initial deposit?
$180
$200
$240
$280
Answer:
The answer is B 200
Step-by-step explanation:
i just took the test so yah :)
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.
Answer:
a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.
Four components means that [tex]n = 4[/tex]
Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]
a) Find the probability that exactly two of the four components last longer than 1000 hours.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) Find the probability that the subsystem operates longer than 1000 hours.
It will operate if at least two compoents last longer than 1000 hours. So
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]
0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
radius = 3 4/5 m
Hubby bbb bbb.
Answer: 2
Step-by-step explanation:
Solve question above ^
w=?
Answer:
w = -6/7
Step-by-step explanation:
-1w/2 - 3/5 = 1w/5
multiply by 10 to eliminate fractions:
-5w - 6 = 2w
-6 = 7w
w = -6/7
Find x
X + 50
X + 10
Answer:
x = 60
Step-by-step explanation:
(x + 50)° + (x + 10)° = 180° (interior angles on the same side of transversal)
(2x + 60)° = 180°
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 120/2
x = 60
Will give brainliest if you awnser all math questions
1. Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Which savings account is growing fastest?
They are growing at the same rate.
simple interest
compounded quarterly
2.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account A in 30 years.
$340
$350
$370
$400
3.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account B in 30 years.
$400
$410
$420
$450
4.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
What is the approximate difference between the two accounts in 20 years?
$100
$50
$25
$10
5.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Why is the amount much higher in the compounded interest account?
The account started with more money.
The account is in a better bank.
The interest rate is higher.
The account pays interest on both the principal and the interest accumulated.
Answer: Compounded quarterly, 350, 420, 25, the account pays interest on both the principal and the interest accumulated.
Step-by-step explanation:
Question 1: Compounded quarterly is growing fastest because it's broken down more than what simple interest does and therefore is faster instead.
Question 2: Account A in 30 years would be 350, I did this problem and eyeballed it. Trust me.
Question 3: Account B in 30 years would be 420.
Question 4: The approximate difference between the two accounts in 20 years would be 25.
Question 5: If the rate of interest is annual and the interest is compounded quarterly then the number of years is 4 times and the rate of annual interest is one-fourth. Therefore, the account pays interest on both the principal and the interest accumulated.
Hope this helps
The simple interest and compound interest are solved for both the curves
a) The compound interest is growing fastest
b) the amount in Account A in 30 years A = $ 350
c) The amount in Account B in 30 years is B = $ 420
d) The difference between the two accounts in 20 years = $ 25
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
a)
Let the 2 curves be represented as A and B
Now , the amount invested by A = $ 200
The rate of simple interest = 2.5 %
And , the amount invested by B = $ 200
The rate of compound interest = 2.5 %
So , we can say that since it is more thoroughly broken down than basic interest is, compounded quarterly growth is the quickest.
b)
The amount for A in 30 years is given in the graph
A = $ 350
c)
The amount for B in 30 years is given in the graph
B = $ 420
d)
The amount for A in 20 years is given in the graph = $ 300
The amount for B in 20 years is given in the graph = $ 325
The difference between the two accounts in 20 years = $ 325 - $ 300
The difference between the two accounts in 20 years = $ 25
Hence , the compound interest is solved
To learn more about compound interest click :
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Which shows how to add 6 + 4+ 5?
6 = 6 and 4 + 5 = 9
1) 6+4 = 10 and 10 + 5 = 15
<» 6+4 = 10 and 4 + 5 = 9
Answer:
6+4=10 and 10+5=15
Step-by-step explanation:
1. How many triangle make a trapezoid
A trapezoid consists of two triangles.
A trapezoid does indeed contain two triangles within its structure. A trapezoid is a quadrilateral with one pair of parallel sides.
The other two sides, known as the legs, are not parallel and meet at a point. These legs, along with the two parallel sides, form two triangles within the trapezoid.
One triangle is formed by connecting the two legs and one of the parallel sides. The other triangle is formed by connecting the two legs and the other parallel side.
So, a trapezoid consists of two triangles.
Learn more about Trapezoid here:
https://brainly.com/question/19340938
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The radius of a circle is 7 m. Find its circumference in terms of pi.
Answer:
Step-by-step explanation:
Circumference is 2pir
So 14pi meters
3x + 2 y =12
Solve for y
Answer:3x/2
Step-by-step explanation:Move all terms that don't contain
y
to the right side and solve.
Answer:
-3/2x+6
--
You start by simplifying the equation.
help!!!!! will give big brain
What are the vertices of AA'B'C'if AABC is dilated by a scale factor of 1/3
Answer:
B
Step-by-step explanation:
A baseball player hit 345 out of 1,000 balls pitched to him. What are the chances he gets a hit when he steps up to the plate?
Answer:
0.345
Step-by-step explanation:
hits/at-bats = 345/1000 = 0.345
The probability of a hit, any particular time he goes to bat. is 0.345.
The problem does not request any particular format, so 0.345 is a perfectly good answer.
In baseball, that is called a 'batting average', and is actually expressed that way - as a decimal - in a player's statistics.
On the other hand, if we did want to express the probability as a percentage, we would do this:
0.345 * 100% = (0.345 * 100) % = 34.5 %
Hope this helps
The sum of two numbers is 58. Twice the second
number subtracted to four times the first number is
28. Find the two numbers.
Answer:
Step-by-step explanation:
a+b=58 and 4a-2b=28 is the system of equations
solving the first for a, a=58-b, using this value for b in second equation is
4(58-b)-2b=28
232-4b-2b=28
232-6b=28
-6b=-204
b=34, and since a=58-b
a=58-34
a=24
So the two numbers are 24 and 34