Answer:
e + 2/ 5 = 4
Hope this helps, and be sure to report the answer that had a link
Step-by-step explanation:
test the continuity of
and evaluate.easy question.show your work.
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Answer:
(i) not continuous at x=2
(ii) -√2
Step-by-step explanation:
(i) The function simplifies to ((x -2)(x+2))/(x -2) = x +2 . . . . x ≠ 2
The left and right limits at x=2 exist and are the same: 4. However, the function is undefined at x=2, so the conditions for continuity are not met.
__
(ii) The expression is indeterminate (0/0) at x=π/4, so L'Hopital's rule can be used to find the limit.
lim[x→π/4] = ((d/dx)(cos(x)-sin(x)))/((d/dx)(x-π/4)) = (-sin(π/4)-cos(π/4))/1
lim[x→π/4] = -√2/2-√2/2 = -√2
The limit is -√2.
Being timed and pressured help me plsss
Answer:
a:] 45 pay attention to the graph
what is 8 (x/4 - 6) < 4
Answer:
x<26
Step-by-step explanation:
8(x/4 - 6) < 4
Divide both sides by 8;
8(x/4 - 6)/8 < 4/8
Simplify;
x/4-6<1/2
Add 6 to both sides;
x/4-6+6<1/2+6
Simplify;
x/4-6+6<1/2+6
Simplify
x/4-6+6
=x/4
Simplify;
1/2+6
Convert it into a fraction;
6*2/2+1/2
Since the denominators are equal combine the fractions;
6*2+1/2
6*2+1=13
=13/2
x/4<13/2
Multiply both sides by 4;
4x/4<13*4/2
Simplify 4x/4
4x/4
4/4=1
=x
Simplify 13*4/2
Multiply the numbers:13*4=52
=52/2
Divide the numbers:52/2=26
=26
x<26
HOPE THIS HELPED!!!
63 students went on to the zoo. S vans were filled with equal numbers of students and 3 students rode in a car. How many students were in each van?
Answer:
no of students 63
the answer is...
21
Please solve this all for 24 points. <333 :)
Answer:
$33.75
65%
$13.78
Step-by-step explanation:
commission earned = percentage commission x worth of goods sold
4 1/2% x $750
4.5% x $750
0.045 x $750 = $33.75
Percentage mark-up = [(selling price - cost price) / cost price] x 100
[(90.75 - 55) / 55) x 100
= 65%
new income = 6% of $13 + 13
0.06 x 13 = $0.78
$13 + $0.78 = $13.78
A model rocket is launched directly upward at a speed of 15 meters per second from a height of 10 meters. The function f(t)=-4.9t^ 2 +15t+10. models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket reach its highest pointRound to two decimal places.
Answer:1.53
Step-by-step explanation:
Need answer asap, will give brainliest.
Answer:
(-2,3)
Step-by-step explanation:
You can see that the purple is the new triangle. So look at the coordinate of the D. You can see that it is plotted at (-2, 3)
Answer:
(-2, 3)
to find the point of something you first find where uts standing on the x-axis (vertical line) and then where its standing on the y-axis (horizontal line)
Find the value of x?
Answer:
x = 12
Step-by-step explanation:
An inscribed angle has half the measure of the arc it intercepts.
arc SU +arc UT = 180°
2(43°) +(9x -14)° = 180°
9x = 108 . . . . . . . divide by °, subtract 72, simplify
x = 12 . . . . . divide by 9
Triangle ABC is formed by connecting the points A (2,6), B (6,6) and C (6,1). What is the exact length of the hypotenuse of triangle ABC? Express your answer as an entire radical.
Step-by-step explanation:
ndnndndndjdjdjdfjfjfgnn
Select the correct answer from drop down menu.
First Line
130/r
130r
130r * r
65r
Second Line
n
nr
n(r * r)
n+r
Answers:
First one is 130r
and
Second one is n(r*r)
A girl/boy says they like you what do you say?
Answer:
if you like them back say you like them back if not say you're flattered but your'e not looking for anything right now.
Step-by-step explanation:
Please help me! This is due tomorrow and I really need some help! Thank you.
Answer:
B. the mean is 59 inches
Step-by-step explanation:
if you add the number of inches together you get 413. 413 divided by 7 is 59. that is the mean.
Answer:
B: The mean wingspan is 59 inches.
Step-by-step explanation:
The mean is the average so when you add up all of the wingspans 53+59+59+60+60+61+61 you get 413, and to find the mean you would divide that by seven (413/7), because there are 7 students, which is 59.
a firm wants to select a group of 8 out of its 20 employees to attend a Business trip .in how many ways can this be done if there is a couple who must not be separated
Answer:
Case 1 - 50388 ways when the couple is there in the group of 8 people selected out of 20 employees.
Case 2 - 75582 ways when the couple is not there in the group of 8 people selected out of 20 employees.
Step-by-step explanation:
Given
The couple within the group can not be separated and hence instead of taking total 20 employees , it must be taken as 19 employees.
Now if the couple is there in the selected group of 8 people, then total 7 needs to be selected out of 19 and hence the total number of ways of selecting 7 people out of 19 is
[tex]^7C_{19}[/tex] = 50388
If the couple is not there in the selected group of 8 people, then the total number of ways of selecting 8 people out of 19 is
[tex]^8C_{19}[/tex] = 75582
Pom
A line passes through point (5, -3) and is perpendicular to the equation y = x. What's
the equation of the line?
A sewing instructor asked his students how many spools of knitting yarn they carried in their sewing kits. The table shows the data he recorded.
hey can someone pls help me out? i don’t understand this. find the surface area of the rectangle prism. thx hun <3
Answer:1566
Step-by-step explanation:
Fing Using Addil
The number of boxes of cookies sold by Imelda was 36 more than the number of
boxes of cookies sold by Keiko. The number of boxes of cookies sold by Sarah
was 38 fewer than the number sold by Keiko. Write an algebraic expression for
each quantity. Use x to represent the unknown value.
Answer:
I can't understand your equation. Please rewrite it.
Step-by-step explanation:
Bill buys a large can of paint. The size of the can measured in which units
Answer:
Paint is measured in gallons
Step-by-step explanation:
A trip to the Rocky Mountains of Colorado from Denver will take 1 3/4 hours. Assuming we are 1/3 of the way there, how much longer in hours will the trip take?
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Answer:
1 1/6 hours
Step-by-step explanation:
Assuming distance and time are proportional, 2/3 of the 1 3/4 hours remain:
(2/3)(7/4) = 14/12 = 1 1/6 . . . . hours remain
The trip will take 1 1/6 hours longer.
Answer:
the answer is 1 1/6 hours
Step-by-step explanation:
:)
Help please! :) I don’t know how to solve this!
Answer:
261
Step-by-step explanation:
→ Substitute 2 into g( x )
( 3 × 2 ) + 10 = 16
→ Substitute that answer into f( x )
16² + 5 = 261
PLEASE HELP WILL MAKE BRAINLIEST
Answer:
Step-by-step explanation:
b
FinD the 50th term of the sequence defined by the sequence 3n+3????
Answer:
[tex]\huge {\purple {a_{50} = 153}} [/tex]
Step-by-step explanation:
Given sequence is 3n + 3
[tex] \implies a_n = 3n + 3[/tex]
Plug n = 50
[tex] \implies a_{50} = 3(50) + 3[/tex]
[tex] \implies a_{50} = 150 + 3[/tex]
[tex]\huge {\red {\implies a_{50} = 153}} [/tex]
We have ,
=> T_n = a + ( n - 1)d
=> T₅₀ = 3n + 3
=> T₅₀ = 3(50) + 3
=> T₅₀ = 150 + 3
=> T₅₀ = 153
The formula for area is length x width.
What is the area of the rectangle if the
length is 7/5 and the width is 5/8? Write
your answer in simplest form.
5
8
75|
Answer:
7/8
Step-by-step explanation:
7/5•5/8= 7•5/5•8
= 35/40
=7/8
hope this helps chu
In a triangle, the base and height are in the ratio 6:5. If the area of the triangle is 135 sq cm, calculate the length of the base and height.
Answer:
use the firmula
area of triangle =1/2b×h
Step-by-step explanation:
let the ratio be 6x and 5x
6x+5x=135 now solve this this may help youNEED HELP ASAP!!!!!
If you paid $5.00 for 10 hamburgers, what was the price for one?
Answer:
0.50 cents
Step-by-step explanation:
If we're going to need the price for 1, we're going to need to divide. So, with the known information, we take 5$ (or 5.00$) and divide it by 10 hamburgers to get your quotient of .50 cents . If I'm wrong, please don't be afraid to correct me. And have a good day stranger!
Help me! i have 20 minutes
Your on your own.. :/
If AB has endpoints A(-15,9) and B(0,3) what is the slope of AB. Please show all your work
Answer:
-2/5
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
= ( 3-9)/(0+15)
= -6/15
= -2/5
Please help me!!
I need to get this question
Answer:
Part A;
- Increases
- Increases
Part B:
- Constant but not 0
- 0
Step-by-step explanation:
Part A:
>> Looking at the speed - time graph of Airplane A, we can see that speed increases from rest at 0 seconds time to time.
>> In graph of airplane B, we can see that distance gradually increases from time at 0 to time at t1. This means that the speed is increasing.
Part B:
>> From time t1 to time t2, we see in airplane A graph that the motion is indicated a horizontal line which means there is constant motion and in constant motion, speed is constant but not zero.
>> In graph of airplane B, we see that the distance between time t1 to time t2 didn't increase. This means that there was no movement. As a result, speed will be 0
I WILL GIVE BRAINLIEST!!
Just need help for questions 88 and 90.
A study that looked at beverage consumption used sample sizes that were much smaller than previous national surveys. One part of this study compared 20 children who were 7 to 10 years old with 5 who were 11 to 13. The younger children consumed an average of 8.2 oz of sweetened drinks per day while the older ones averaged 14.1 oz. The standard deviations were 10.8 oz and 8.2 oz respectively.
Required:
Do you think that it is reasonable to assume that these data are Normally distributed? Explain why or why not?
Answer:
Step-by-step explanation:
In statistics, about 68 percent of values come in one standard deviation of the mean by using a standard normal model. Approximately 95% of the data were all within two standard deviations from the mean. Almost all of the data are in the range of three standard deviations of the mean (roughly 99.7%).
The 68-95-99.7 law, also known as the Empirical Rule, is based on this evidence. 68 percent of the data values of a naturally distributed data collection of small children with a mean of 8.2 and a standard deviation of 10.8 would be between -2.2 and 19.0.
Within a mean of 14.1 as well as a standard deviation of 8.2, 68 percent of the data values in a usually distributed data collection of older children would be between 5.9 and 22.3.
However, we cannot conclude that the data is naturally distributed since the real actual data vary from the usual normal curve computed above.
Hence, various measures like either goodness of fit or theory testing, would be used for this.