The derivative at x = 3 does not exist.
To see why, recall the definition of absolute value:
[tex]|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]
If x - 3 ≥ 0, then
2 + |x - 3| = 2 + (x - 3) = x - 1
and the derivative of this piece is 1 for all x > 3.
If x - 3 < 0, then
2 + |x - 3| = 2 - (x - 3) = 5 - x
and its derivative is -1 for all x < 3.
The derivatives to either side of x = 3 are not the same, so f '(x) is not continuous and indeed does not take on any value at this point.
The scale of a map says that 4 cm represents 5 km. a. what distance on the map (in centimetres) represents an actual distance of 4 kilometres? b. What is the actual number of kilometres that is represented by 5 centimetres on the map?
Answer:
a. 3 cm
b. 6 km
Step-by-step explanation:
to be completely honest, I just shoot my answer based on the pattern.
if you notice that when the scale is 4 cm, the actual distance is 5 km. When the distance is 4 km, the scale should probably be 3 cm. It's the same with the 5 cm scale, then the distance should be 6 km
Step-by-step explanation:
Use ratios to solve it
a)
4 cm → 5 kmx cm → 4 kmx = 4*4/5 = 3.2 cm
b)
4 cm → 5 km5 cm → x kmx = 5*5/4 = 6.25 km
6/7 + 1/3 in simplest forms plz
Answer: 1 4/21
Step-by-step explanation:
6/7+1/3= 25/21= 1 4/21
Step-by-step explanation:
[tex]\frac{6}{7}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{25}{21}[/tex]
Simplify
[tex]\frac{25}{21}[/tex] = 1 [tex]\frac{4}{21}[/tex]
25 ÷ 21 = 1 remainder 4
Hope it helps. =D
Which situation can be represented by the equation -20 x 4 = -80?
Answer:
Stacy has no money in her bank account. She buys 4 vases which each cost $20. At the end of the transaction, Stacy's balance is -80 dollars.
Mass refers to the amount of matter that an object contains.
Question 1 options:
True
False
Answer:
true
Step-by-step explanation:
true the definition is right
What is the slope of the line shown below? A. –4 B. – C. D. 4 SUBMIT hurry i need help
Answer:
The answer would be 1/4
Step-by-step explanation:
Answer:
its 4
Step-by-step explanation:
help me with this sum I will mark you as brainiest
Answer:
1.21
2.42
3.249.67
4.155.25
5.63.25
6.86
7.80.83
8.47.125
9.153
10.438
Step-by-step explanation:
hope helful pls follow and give brainliest tq
Answer:
21
42
249 2/3
77 5/8
63 1/2
86
80 5/6
47 1/8
153
43 8/9
Step-by-step explanation:
those are quotients not sums
a) 148+0.8
b) 0.024 + 0.000 16
c) (0.2) + (0.1)
Answer:
a) 0.8b+148
b) 0.02416
c) 0.3
Step-by-step explanation:
Simplify and solve the equation
Answer:
y=6
Step-by-step explanation:
y+6 3
----- = ----
8 2
2(y+6)=8(3)
2y+12=24
2y=24-12
2y = 12
---- ----
2 2
therefore y=6
Answer:
it will be 6 im 100%
Step-by-step explanation:
y=6
A theater has 576 seats arranged in 64 rows. If there is the same number of seats in each row, how many seats are in one row?
Answer:
9 seats in each row
Step-by-step explanation:
576/64
Answer: in each row there are 9 seats
Step-by-step explanation:
522 to base two
(i'm struggling so bad with math :,))
Answer: 1000001010 base 2
=======================================================
Explanation:
There are two methods to solving this problem.
One method is to involve having a list of the powers of 2
2^0 = 12^1 = 22^2 = 42^3 = 8And so on.
In that list should be 2^9 = 512. So 512 is a power of 2. It is the largest such power that is just under 522. Subtracting it off gets us
522-512 = 10
So that explains why the 2^9 slot in the answer is a '1'. This is the first '1' mentioned in the answer shown above. Then we have a string of '0's until we reach 1010 at the end. That long string of 0s indicate that we don't have any of the following powers: 2^8, 2^7, 2^6, 2^5, 2^4
It's when we get to 2^3 is when we finally have a power of 2 to add on.
Then note how 10-2^3 = 10-8 = 2
So the last term we need to add on is 2^1 = 2. Note the gap from 2^3 to 2^1 because of the first 0 in 1010
So that's how we end up with 1000001010 as our final answer.
5. Kathy plans to purchase a car that
depreciates (loses value) at a rate of 14% per
year. The initial cost of the car is $21,000.
How much will the car be worth
in 6 years?
Answer:
At the end of the 1st year you have 21,000-0.14(21000)
= (1-0.14)21000 = 0.86(21,000)
So after three years you have 21000(0.86)(0.86)(0.86)
= 21000(0.86)^3
Answer:
3360
Step-by-step explanation:
Find 14% of 21,000 then multiply by six which gives you 17,640. Then you subtract 21,000-17640. that is your answer.
An isosceles triangle with equal sides 8 cm each and third side 6 cm.
Answer:
An isosceles triangle with equal sides 8 cm each and third side 6 cm. The perimeter of triangle is 12 cm.
2(-1)+y=3
What is the answer
Answer: Y= 5
Step-by-step explanation:
2(-1)+y=3
2 x -1=-2
-2+y=3
+2 +2
y=5
Answer:
y = 5
multiply:
2 (-1) + y = 3 → -2 + y = 3
rearrange:
y - 2 = 3
add to both sides:
y - 2 + 2 = 3 + 2
simplify:
y = 5
I hope this helps! Sorry if it's the wrong answer! (′д｀σ)σ
Three teams, A, B and C, play in a competition.
games won by A: games won by B = 3:1
games won by B: games won by C = 4:3
Team B has won 8 games.
In total, how many games have the three teams won?
Answer:
A = 24
B = 8
C = 6
Step-by-step explanation:
4:3 from B:C
8:6
8 games won by B and 6 games won by C.
3:1 from A:B
24:8
24 by A and 8 by B
How long will mischievous be after 4 weeks?
Answer:
Step-by-step explanation:
So if mischievous grows 8 7/12 inches every week, you have to multiply 8 7/12 times 4 (for the 4 weeks).
8 7/12 x 4= 34 4/12
Then add that to the snakes current length.
34 4/12+ 17 2/9=///
1) Change the fractions to have common denominators
4/12 x 3= 12/36
2/9 x 4= 8/36
2) Add. 8+12= 20. Denominators stay the same. 20/36.
3) Add the whole numbers. 34+17=51.
4) Put it all together. 51 20/36.
5) Simplify the fractions. 20 and 36 can be divided by 4.
20/4=5 36/4=9, 5/9
So, 34 4/12+17 2/9= 51 5/9
Mischievous will be 51 5/9 inches after 4 weeks.
To convert into feet, divided 51 by 12.
20,407.1859
which number is in the tenths place?
Answer:
1
Step-by-step explanation:
The tenths place is the first place to the right of the decimal.
Ex:
1.39
3 is in the tenths place
Your ex:
20,407.1859
1 is in the tenths place
Answer:
First is.
Step-by-step explanation:
20 is in the tenths place,, this is like 3rd grade math
Answer or you will get 0 doritos
Answer:
answer is b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When you are subtracting a negative, it is the same as just adding a positive.
[tex]-9\frac{2}{7} + 10\frac{3}{7}[/tex]
We can rearrange the problem to read:
[tex]10\frac{3}{7} -9\frac{2}{7}[/tex]
Now, we can subtract the numbers and fractions separately.
[tex]10+\frac{3}{7} -(9+\frac{2}{7})[/tex]
[tex](10-9)+(\frac{3}{7}-\frac{2}{7} )=1+\frac{1}{7}=1\frac{1}{7}[/tex]
This is B
Complete the table for the given rule.
Rule: y is 1 less than 2 times x
According to the rule, the table is:
x|y
2|3
3|5
4|7
The translation of the rule to a math expression is:
[tex]y = 2x - 1[/tex]
Then, for x = 2:
[tex]y = 2(2) - 1 = 4 - 1 = 3[/tex]
For x = 3:
[tex]y = 2(3) - 1 = 6 - 1 = 5[/tex]
For x = 4:
[tex]y = 2(4) - 1 = 8 - 1 = 7[/tex]
Thus, the table is:
x|y
2|3
3|5
4|7
A similar problem is given at https://brainly.com/question/13094243
Suppose the probability of being picked first in your class is 0.05. What are the the odds of being picked first? Express your answer in the form a:b
Suppose the probability of being picked first in your class is 0.05. The odds of being picked first expressed in form of a: b is 1 : 19.
A probability is a number that represents the possibility or chance that a specific event will occur.
[tex]{\mathbf{\text{The probability of an event} = \dfrac{\text{number of desired outcome}}{\text{total number of possible outcome}}}[/tex]
From the given information;
Let assume the total number of people in the class is whole = 1∴
The odds of being picked first can be computed as:
[tex]\mathbf{=\dfrac{0.05}{1-0.05}}[/tex]
[tex]\mathbf{=\dfrac{0.05}{0.95}}[/tex]
[tex]\mathbf{\dfrac{1}{19}}[/tex]
= 1 : 19
Therefore, the odds of being picked first in terms of a: b is 1 : 19
Learn more about probability here:
https://brainly.com/question/11234923?referrer=searchResults
9) One baseball team played 34 games throughout their entire season. If this baseball team won 22 of those games, then what percentage of their games did they win? Round your answer to the nearest tenth if necessary.
10) At a local department store, slacks have been reduced to $27. This price is at 69.2% of the original price for slacks. Given this, what was the original price of the slacks? Round your answer to the nearest whole number if necessary.
Answer:
9): 64.7
10): 39$
Step-by-step explanation:
Answer:
64.7% and $39
Step-by-step explanation:
Question 9:
This means that the baseball team won 22/34 of their games through their entire season. In order to find the percentages of game they won, you divide 22 by 34, which comes out to 0.64705..., which becomes 64.705%. Rounding this to the nearest tenth, this percentage becomes 64.7%. Therefore, the percentage of games their baseball team is 64.7%.
Question 10:
We can represent this problem as the proportion:
[tex]\frac{27}{69.2} =\frac{x}{100}[/tex]
with x being the original price of the slacks.
We cross multiply to solve this equation. 27 times 100 is 2700. Next, we divide 2700 by 69.2, which comes out to 39.017341. Rounding this to the nearest whole number, this value comes out to 39. Therefore, the original price of these slacks is $39.
what is 1*5+89 20 points
Answer:
your answer is going to be 94
Step-by-step explanation:
1×5=5
5+89=94
Answer: 1*5+89 = 94
The answer is 94
If f(x)=(x+6)(x−3)/(x−2), then calculate f(5). Round answers to two decimal places.
What is the answer?
Step-by-step explanation:
f(5)=(5+6)(5-3)/(5-2)
=11(2)/3
=22/3
=7.33
If a seed is planted, it has a 95% chance of growing into a healthy plant.
If 7 seeds are planted, what is the probability that exactly 3 do grow? Round to 4 decimal places.
If 7 seeds are planted, the probability that exactly 3 do grow is;
P(X = 3) = 0.0002
This is a binomial probability distribution problem where;
P(X = x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾
We are given;
p = 95% = 0.95
q = 1 - p
q = 1 - 0.95
q = 0.05
Thus If 7 seeds are planted, the probability that exactly 3 do grow is;
P(X = 3) = ⁷C₃ × 0.95³ × 0.05⁽⁷ ⁻ ³⁾
P(X = 3) = 35 × 0.857375 × 0.00000625
P(X = 3) = 0.000187
To four decimal places gives;
P(X = 3) = 0.0002
Read more at; https://brainly.com/question/19261596
He spent $25 on a box of candy bars and sold them for $2 each. If his profit (after earning back the $25) was $69, how many candy bars did Leo sell?
Which equation can be used to solve the problem?
Answer:
34.50
Step-by-step explanation:
69/2=34.50
it cost $3.99 for 15 fl. oz of detergent or $6.99 for 90 fl. Oz which is better to buy
Answer:
6.99. You get much more for a cheaper price per unit.
What is greater 0.5 or 2/4 plz help
Step-by-step explanation:
Both are equal
0.5 and 2/4 = ½ = 0.5
Answer:
they are both the same
.5
and 2/4 as a decimal is .5
Step-by-step explanation:
solve pls brainliest
Answer:
j*14 + 8
Step-by-step explanation:
Kristy downloads two songs to her MP3
player. The songs are 3 minutes and 4- minutes
long. About how many minutes of memory will these
two songs use altogether?
Answer:
About 7 minutes
Step-by-step explanation:
3 minutes + 4 minutes= 7 minutes memory used for two songs
f(t)= x2 + 2; Find f(-6)
Answer:
-12
Step-by-step explanation:
F(T)=2(1×+1)
2(1×+1)= x2 + 2, and since we were trying to find what f is, we know know f=2 because of the equation 2(1×+1), so, 2(-6)= -12
Aloha! Looking for some help with an Algebra 1 equation. See photo below. Thank you in advance.