Find the limit, if it exists. lim (x^3 -3x^2 +3)
Answer:
-1
Step-by-step explanation:
Assuming problem is: x->2 (x^3 -3x^2 +3)
Since the expression is continuous at x=2,
then the limit can be found just by evaluating the expression at x=2.
2^3-3(2)^2+3
8-3(4)+3
8-12+3
-4+3
-1
Not sure if this is the answer?
Answer:
x = 16
Step-by-step explanation:
Based in the tangent-secant theorem, we have the following equation showing the relationship between the secant and the tangent:
(2 + x)*2 = 6²
4 + 2x = 36
Subtract 4 from both sides
2x = 36 - 4
2x = 32
Divide both sides
2x/2 = 32/2
x = 16
What is the length of the segment connection the points that have the coordinates (-9, 8) and (2, -5) A √130 B √218 C √290 D √338
Answer:
Step-by-step explanation:
a light bulb consumes 960 watt- hours per day. How many watt-hours does it consume in 5 days and 12 hours?
Which is equivalent to 3x-4y=8
Answer:
The answer is D) Y = 3/4x-2
Step by step explanation:
3x - 4y = 8
Express it in the term of y.
Subtract 3x from both sides:
3x - 4y - 3x = 8 - 3x
- 4y = 8 - 3x
Divide both sides by -4
-4y/-4 = (8 - 3x)-4
y = 8/-4 - 3x/-4
y = -2 - (-3/4x)
y = -2 + 3/4x
y = 3/4x - 2
A large national bank determines if each of its branches is profitable or not profitable. Additionally, the location of each branch is classified as urban, suburban, or rural. A summary of the profitability and location type of a random sample of 175 of the bank’s branches is shown in the table.
Profitable Not Profitable
Urban 64 17
Suburban 39 22
Rural 18 15
(a) From the sample of 175 branches summarized above:
(i) What proportion of branches are profitable?
(ii) What proportion of branches from an urban location are profitable?
(iii) What proportion of branches from a rural location are profitable?
(b) Assuming the conditions for inference are met, does the data provide convincing statistical evidence that profitability and location type are independent for the bank at a 5 percent level of significance? Complete the appropriate inference procedure to support your answer.
Answer:
Step-by-step explanation:
i) (64+39+18)/(175)=0.691
ii) 64/(64+17)=0.79
iii) 18/(18+15)=0.55
(1) The proportion of branches that are profitable 121/175.
2) Proportion of branches from an urban location that is profitable 64/175.
3) The proportion of branches from a rural location is profitable 33/175.
It is given that:
From the sample of 175 branches,
Profitable Not Profitable
Urban 64 17
Suburban 39 22
Rural 18 15
Total number of samples = 175
What is a proportion?Proportion is a part, share, or number considered in comparative relation to a whole.
(1) The proportion of branches that are profitable:
= (64+39+18)/175
=121/175
2) Proportion of branches from an urban location that is profitable:
=64/175
3) The proportion of branches from a rural location is profitable:
=(18+15)/175 = 33/175
Therefore, (1) The proportion of branches that are profitable 121/175.
2) Proportion of branches from an urban location that is profitable 64/175.
3) The proportion of branches from a rural location is profitable 33/175.
To get more about proportions visit:
https://brainly.com/question/18437927
When rounded to the ten thousands place, which of the numbers below round to 230,000
Answer:
Here are some correct options:
225,891
234,567
232,987
Step-by-step explanation:
What is the answer? Thank you!
HELP PLEASE
NO RANDOM ANSWERS OR PHOTO ANSWER ANY OF THAT WILL BR REPORTED
Answer: The answer for the second one is solid figure
Step-by-step explanation: In geometry, three-dimensional shapes are solid figures.
A 10 foot ladder is leaning against a house. The base of the ladder is 4 feet from the house. How far does the ladder reach up the house?
Answer:
9.17 feet
Step-by-step explanation:
Use the Pythogoras theorem, a^2 + b^2 = c^2
you are give c and b ( because one side is slanted, so c) so rearrange to get
c^2-b^2 = a^2
10^2 - 4^2 = 84
square root 84 to get
9.16515
A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?
116.875 cubes
163.5 cubes
935 cubes
1870 cubes
Answer:
163.5 cubes
Step-by-step explanation:
Answer:
A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?
116.875 cubes
163.5 cubes
935 cubes
1870 cubes
163.5 cubes
Step-by-step explanation:
A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?
116.875 cubes
163.5 cubes
935 cubes
1870 cubes
163.5 cubes
Diego predicts that his basketball teams has a 2/3 probability of winning each of their next 9 games.
PART A
Which is the most likely outcome for Diego's first game?
A
His team will win.
B
His team will lose.
C
His team will tie.
D
PART B
Why?
Answer:
g
Step-by-step explanation:
Does this limit exist? Show steps
Answer:
Yes, the limit does exist.
Step-by-step explanation:
By definition, a limit in the form:
[tex]\displaystyle \lim_{x\to a}f(x)[/tex]
Exists if and only if:
[tex]\displaystyle \lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)[/tex]
We are given the limit:
[tex]\displaystyle \lim_{x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]
So, in order to prove that this limit exists, we simply have to show that:
[tex]\displaystyle \lim_{x\to 2^-}\frac{x^2+x-6}{x^2-4}=\displaystyle \lim_{x\to 2^+}\frac{x^2+x-6}{x^2-4}[/tex]
Let's do the left-hand side first. We can factor the function:
[tex]=\displaystyle \lim_{x\to 2^-}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]
Simplify:
[tex]\displaystyle =\lim_{x\to 2^-}\frac{x+3}{x+2}[/tex]
By direct substitution:
[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]
Now, we can evaluate the right-hand side. Again, factor:
[tex]=\displaystyle \lim_{x\to 2^+}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]
Simplify:
[tex]\displaystyle =\lim_{x\to 2^+}\frac{x+3}{x+2}[/tex]
And by direct substitution:
[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]
Since both the left- and right-hand limits equal 5/4, our original limit does indeed exist.
3(y+2/5)=−1/5
Solve for y
Answer:
y = -7/3 or -2.333
Step-by-step explanation:
3(y+2 / 5) = -1/5 ------- First you need to do what is outside of the paranthesis which is 3, so divide both sides by 3.
(y + 2 / 5) = -1/15 ------- Next, you multiply both sides by 5 given the denominator is 5 on the left side.
y + 2 = -1/3 -------- Now you just subtract 2 from both sides.
y = - 7 /3 ---------- Answer
answer please! i will give brainliest !!!!
Answer:
B. WATER CAN DISSOLVE SO MANY SUBSTANCES
Step-by-step explanation:
One card is pulled from a full 52 deck of cards. What is the probability of pulling a queen and an ace?
0
8/52
2/13
1
Answer: 8/52
Step-by-step explanation:
In a deck of cards, we have a total number of 52 cards. Out of the 52 cards, there are 4 aces and also 4 queens.
Therefore, the probability of picking a queen or an ace will be:
= P(queen) + P(ace)
= 4/52 + 4/52
= 8/52
Maria, an experienced shipping clerk, can fill a certain order in 11 hours. Felipe, a new clerk, needs 13 hours to do the
same job. Working together, how long will it take them to fill the order?
Answer:Maria rate = 1/13 job/hr
-----
Felipe rate = 1/16 job/hr
----
Together rate = 1/x job/h
Step-by-step explanation: rate + rate = Together rate
1/13 + 1/16 = 1/x
----
16x + 13x = 13*16
------
29x = 13*16
x = 7.17 hrs = 7 hr 10 min 12 seconds (time to do the job together)
-------------
Cheers,
Rubberduck100000.
What is the domain of the square root function graphed below? On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3). x less-than-or-equal-to negative 1 x greater-than-or-equal-to negative 1 x less-than-or-equal-to 0 x greater-than-or-equal-to 0
Answer:
Its D
Step-by-step explanation:
Ed2021
Answer
x greater-than-or-equal-to 0
Step-by-step explanation:
yes
A taxi company charges $2.25 for the first 5 miles and $0.75 for each mile. If a passenger spent $6 on a trip, how many miles did he travel? Write an equation to solve.
It takes 24 hours to drive from town A to town B. At an average speed of 31 mph, how far is it?
Answer:
744 miles
Step-by-step explanation:
each hour is 31 miles
the drive is 24 hours
31*24=744
Answer:
744 miles
Step-by-step explanation:
The table shows the ages of Mark's family members.
Name
Age (years)
381
Phil
Tammy
32
4
Liam
?
Chris
91
4
Andi
4
2
The combined age of all five family members is 95 years. What is Liam's age?
A. 10
years
B.
12 years
o c. 141
years
OD. 15 years
Answer:
b
Step-by-step explanation:
it's b if I am wrong I am sorry
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for more than 1 year and less than 6 years?
4 schools
8 schools
10 schools
20 schools
Answer:
20 schools is your answer
Have a good day
Answer:
20 is ur answer!
Step-by-step explanation:
I took the test and got it right, also credit goes to the other guy! Have a good day/night! <3
56 times a number minus 13 is equal to 6 less than the number.
Step 1 of 2: Write out the equation.
Answer:
The equation is 56x - 13 = x - 6
Step-by-step explanation:
Let's say our 'number' is x. If it says it's 56 times our number, it's 56x. Minus 13, which is 56x - 13. If it is equal than 6 less than the number, then it is x - 6.
So the equation is 56x - 13 = x - 6
Find the area of the figure
Answer:
The answer should be 63.
Step-by-step explanation:
I'm not really sure because in order to find the area of the figure, you have to find the length of one of the sides and then multiply this by itself to find the area. I wouldn't be the first person to trust so for someone else to answer.
Answer:
[tex]base = \sqrt{ {9}^{2} - {8}^{2} } = \sqrt{17} \: in\\ area = area \: of \: triangle \: + \: area \: of \: trapezium \\ area = ( \frac{1}{2} \times base \times height) + ( \frac{1}{2} \times height(a + b)) \\ area =( \frac{1}{2} \times \sqrt{17} \times 8) + ( \frac{1}{2} \times 8 \times ((7 - \sqrt{17} ) + 7) \\area = 56 \: sq \: inches[/tex]
Julisha poured 0.9 liter of water into an
empty flask. She boiled the water for 15
minutes then measured the amount of water
that remained. She found that 80% of the
water remained in the flask. Measured in
liters, how much water evaporated?
PLS I NEED HELP! ASAP.
Answer:
0.18
Rounded
0.2
Step-by-step explanation:
In the box below, enter the value that is missing from the table.
170 is the answer
Given ,
520 = 0
.°.
420 = 520-100
320 = 520-200
?= 520-350 = 1700 = 520-520
Mark the relation
f(0)=520f(100)=520-100=420f(200)=520-200=320Similarly
f(350)=520-350=170help me its due in 15 min
Answer:
x = 3, 8
Step-by-step explanation:
[tex]x^{2} +11x +24\\(x + 8)(x + 3)[/tex]
Answer:
x= -8, -3
Step-by-step explanation:
(x+8)(x+3)
x= -8, -3
Given the function g(x)=−x^2+3x, which of the following is the correct limit definition of g′(2)?
Answer:
solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
0
,
0
)
,
(
−
3
,
0
)
y-intercept(s):
(
0
,
0
)
Step-by-step explanation:
hope it helps make brainlliest ty the
What is the magnitude of -10 + 24i?
Answer:
The magnitude of the complex number is 26.
Step-by-step explanation:
Magnitude of a complex number:
The magnitude of a complex number in the format of a + bi is:
[tex]\sqrt{a^2 + b^2}[/tex]
What is the magnitude of -10 + 24i?
a = -10, b = 24. So
[tex]\sqrt{(-10)^2 +(24)^2} = \sqrt{100+576} = \sqrt{676} = 26[/tex]
The magnitude of the complex number is 26.
Find the area of this circle. Use 3 for .
A = 7r2
10 ft
[?] ft2
Answer:
300ft^2
Step-by-step explanation:
pi*r^2
pi*10^2
pi*100
3*100
300
Answer:
Step-by-step explanation:
3*[tex]5^{2}[/tex] = 75