Answer:
lim = 1/6
Step-by-step explanation:
Apparently, we have ...
[tex]g(t)=\sqrt{t+7}[/tex]
It often works well to multiply by the conjugate of a difference that approaches zero.
[tex]\displaystyle\lim_{h\to 0}{\frac{g(2+h)-g(2)}{h}}=\lim_{h\to 0}{\frac{\sqrt{(2+h)+7}-\sqrt{2+7}}{h}}\\\\=\lim_{h\to 0}\frac{(\sqrt{9+h}-\sqrt{9})(\sqrt{9+h}+\sqrt{9})}{h(\sqrt{9+h}+\sqrt{9})}=\lim_{h\to 0}{\frac{(9+h)-9}{h(\sqrt{9+h}+\sqrt{9})}}\\\\=\lim_{h\to0}{\frac{h}{h(\sqrt{9+h}+3)}}=\left.\frac{1}{\sqrt{9+h}+3}\right|_{h=0}=\boxed{\frac{1}{6}}[/tex]
One month Chris rented 7 movies and 9 video games for a total of $71. The next month he rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.
i have a question yall
Even though you can take drivers ed at 14 but you cant get ur license till 15 would you take drivers ed at 14 or 15
answer asap
Which pair of points has a slope of 4? Question 4 options: (0, –3), (1, 1) (3, 0), (–1, –1) (1, 4), (–1, 4) (0, 4), (4, 0)
Answer:
(0,-3), (1,1)
Step-by-step explanation:
C is the midpoint of PQ, if P is (4,m) , C is (n,-1) and Q is (-2,4) then m & n respectively are
Given points are P(4,m) and Q(-2,4)
Let (x1, y1) = P(4,m)
Where, • x1 = 4 and • y1 = m
Let (x2, y2) = Q(-2,4)
Where, • x2 = -2 and • y2 = 4
We know that
The coordinates of the mod point of the linesegment joining the points (x1, y1) and (x2, y2)
is M(x,y) = ( {x1+x2}/2 , {y1+y2}/2 )
Mid point of the linesegment PQ
⇛M(x,y) = ( { 4+(-2)}/2 ,{m+4}/2)
⇛M(x,y) = {(4-2)/2 , {m+4}/2)
⇛M(x,y) = (2/2,{m+4}/2)
⇛M(x,y) = (1,{m+4}/2)
According to the given problem
Mid point of PQ = C(n,-1)
M(x,y) = C(n,-1)
(1,{m+4}/2) = (n,-1)
On Comparing both sides then
1 = n and (m+4)/2 = -1
n = 1 and m+4 = -2
n = 1 and m = -2-4
n = 1 and m = -6
Hence, the value of m&n will be (1&-6) respectively.
Additional comment:
The coordinates of the mod point of the linesegment joining the points (x1, y1) and (x2, y2)
is M(x,y) = ( {x1+x2}/2 , {y1+y2}/2 )
also read similar questions: Given that rectangle LMNO with coordinates L(0,0), M(3,0), N(3,7), O(0,7), P is the midpoint of LM⎯⎯⎯, and Q is the midpoint of NO⎯⎯⎯, which of the following pr...
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The radius of the circle shown below is 8 centimeters. What is the
approximate length of XY?
115
A. 50.3 cm
B. 16.1 cm
C. 8.0 cm
D. 64.2 cm
Answer this please please
Answer:
x is less than -3
Step-by-step explanation:
3x^2+9x<0
x^2+3x<0
x(x+3)<0
x+3<0
x<-3
Y=-6x-5
Please find the slope
Answer:
-6
Step-by-step explanation:
this is in y=mx+b form, where m is the slope ! so m is -6
Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work. make sure you put complete sentences
Answer: store b because you can get more ground beat.
Step-by-step explanation:
Alan needs to mix 3 tablespoons of salt with 5 tablespoons of vinegar to make a cleaning solution. How many tablespoons of salt are needed for each tablespoon of vinegar? (5 points)
Question 3 options:
1)
tablespoons
2)
tablespoon
3)
tablespoon
4)
tablespoon
Answer:
the answer 3/5 lets hop i ace it
Step-by-step explanation:
Josh has $72 in his bank account, and earns $7 each
week. Aurora has $82 in her bank account, and earns $5
each week.
At how many weeks will they have the same amount of
money in their bank accounts, and how much will that be?
Answer:
week 5 and 107 dollars
Step-by-step explanation:
A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of sugar to water
in the mixture?
1 7.26 × 0.22 =
2 17.92 × 0.64 =
3 7.65 × 0.85 =
4 36.20 ×0.05 =
5 31.85 ×0.91 =
please answer it cause my calculator is broken
Answer:
1) 1.5972
2) 11.4688
3) 6.5025
4) 1.81
5) 28.9835
Matthew had $12m. He spent 80¢ every day. How much did he have left
after 2 weeks? Give your answer in dollars.
Answer:
11999988.80 or .80
Step-by-step explanation:
12,000,000-(.80*14)=11999988.80
12-(.80*14)=.80
I don’t understand this if someone can explain I got 13
Answer:
m = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 9x + 4 ← is in slope- intercept form
with slope m = - 9
ACTIVITY 2 Continued
> Solve each problem.
Kathy works after school to finish assembling the 82 favors needed for the school
dance. When she starts at 3:15 PM, she counts the 67 favors already assembled.
She works until 4:30 PM to finish the job.
How many favors can Kathy assemble each minute?
Answer:
.2
Step-by-step explanation:
3:15 to 4:30 is 75 minutes
she had to assemble 15 since there were already 67 made
divide 15/75
.2 per minute
4. There are 20
students in a rath
class. The ratio of
boys to girls is 3:2.
a) How many boys
are in the class?
b) How many girls
are in the class?
A merchant buys a television for $125 and
sells it after a 60% mark-up. How much does
he sell the television for?
Answer:
200
Step-by-step explanation:
60% of 125 is 75
75+125=200
hope this helped!!!
Answer:
I think the answer is $200.
Step-by-step explanation:
hope this helps.
Tom is applying for a visa.
He has to pay £2,400 for the visa as well as a 8% charge on the visa price for an on-the-day service.
If Tom has 1 year to save, how much money should he save per month to be able to cover his costs?
Round your answer to the nearest £10.
Answer:
100
Step-by-step explanation:
The total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).
What is the amount?" Amount is defined as the total of all the given quantities as per given conditions."
According to the question,
The amount required to pay for a visa [tex]= \£ 2,400[/tex]
Percentage charges on the visa price as day service[tex]= 8\%[/tex]
Amount as day charge [tex]= 8\%[/tex] of [tex]2400[/tex]
[tex]= \frac{8}{100} \times 2400\\\\= \£192[/tex]
The total amount required for a visa [tex]= \£ (2400 + 192)[/tex]
[tex]= \£ 2592[/tex]
Tom has one year to save,
Therefore,
Amount Tom save in one month [tex]= \frac{2592}{12}[/tex]
[tex]=\£ 216[/tex]
≈[tex]\£ 220[/tex] ( round to nearest [tex]\£ 10[/tex])
Hence, the total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).
Learn more about the amount here
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A parking garage charges $1.76 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of timo Tom can park in the garage if he wishes to pay no more than $2.76?
Answer: 3 hours
Step-by-step explanation:
The aquarium owns two research boats that will be docked next to the new building. The Delfino recently took 5 hours to cover 57.5 miles of shoreline. On its last research voyage, the Balina surveyed 54 miles in 4.5 hours. Which boat is faster?
The Delfino can travel at a rate of ______________ miles per hour (mph).
The Balina can travel at a rate of ______________ miles per hour (mph).
Answer:
The Balina is faster than the Delfino.
Step-by-step explanation:
Divide the amount of miles covered by the amount of hours it took for each one.
For the Delfino:
57.5 / 5 = 11.5
For the Balina:
54 / 4.5 = 12
You're welcome T^T
What is the measure of ZB?
Answer:
∠ B = 116°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ B + 28° + 36° = 180°
∠ B + 64° = 180° ( subtract 64° from both sides )
∠ B = 116°
Answer:
116°Step-by-step explanation:
The sum of interior angles of a triangle is 180°
so
180 - 36 - 28 =
116°
What is the greatest possible error for a measurement of 2 fluid Ounces?
Answer:
2.35
Step-by-step explanation:
2 x 2 eqaul 9 times 2
Jenny is a great saver! She has $80 in her savings account. She deposits $25 each week into her account. She wants to save at least $300 before she begins to withdraw money from her account. Which of the following inequalities can Jenny use to determine when she can withdraw money from her account?
Answer:
[tex]80+25x\geq 300[/tex]
Step-by-step explanation:
Since she already has 80$ in the account it will be the starting point.
To those 80$ she adds 25$/w.
Since the amount of week is what needs to be determined we'll refer to it as x.
So far we have 80 + 25x.
Now since she only wants to withdraw once she has at least 300$, it means that the amount has to be either equal to 300 or more than 300.
Which gives us [tex]80+25x\geq 300[/tex]
QUESTION 19 PLEASE HELP ME ASAP
Answer:
changes over time
Step-by-step explanation: its going up not staying at one spot
Which inequality represents the phrase below? a number more than 72 A. x < 72 B. x > 72 C. x > 71 D. x = 72
Answer:
the answer is. C.i hope this helps sorry if im wrong
24-(8÷2)+6 I need help, please somebody answer
Answer:
26
Step-by-step explanation:
STEP
1
:
4
Simplify —
1
Equation at the end of step
1
:
(24 - 4) + 6
STEP
2
:
Final result :
26
Write in expanded form
1) 531.029
Answer:
expanded for everything
Step-by-step explanation:
Expanded Form of 531.029:
531.029 = (5 * 102) + (3 * 101) + (1 * 100) + (2 * 1/102) + (9 * 1/103)
531.029 = (5 * 100) + (3 * 10) + (1 * 1) + (2 * 1/100) + (9 * 1/1,000)
531.029 = 500 + 30 + 1 + 2/100 + 9/1,000
531.029 = 500 + 30 + 1 + 0.02 + 0.009
SOMEONE PLEASE HELP QUICKLY
A commercial claims that 8 out of 10 dentists recommend a certain brand of toothpaste. To test this claim, a random sample of 85 dentists is obtained. Of these 85 dentists, 73 indicated that they recommend that brand of toothpaste. Using a significance level of 5%, test the claim to see if the proportion of dentists who recommend this toothpaste is not 8 of 10.
a) State the null and alternative hypotheses
b) State the p value
c) Make a conclusion about the claim
Answer:
rgb
Step-by-step explanation:
wrtbtrb
a) The null hypothesis is: p = 0.8 and the alternative hypothesis is p ≠ 0.8.
b) p-value is 0.0838
c) We accept the null hypothesis
What are null and alternative hypothesis?The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.
What is p-value?A p-value is a statistical measurement used to validate a hypothesis against observed data.
a. Let p be the proportion of 8 out of 10 dentists.
The null hypothesis is
[tex]H_0 : p=\frac{8}{10}=0.8[/tex]
The alternative hypothesis is
[tex]H_1:p\neq 0.8[/tex]
b. The sample proportion [tex]\hat p=\frac{73}{85}\approx 0.86\\[/tex]
Z-score, the test statistic is
[tex]Z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}}{n} } \\\\Z=\frac{0.86-0.8}{\frac{\sqrt{0.8(1-0.8)}}{85} }\\ \\Z=\frac{0.06}{0.043386}\\ \\Z=1.3829\\\\Z\approx 1.38[/tex]
P(Z > 1.38) = 1 - P(Z < 1.38)
∴ P(Z > 1.38) = 1 - 0.9162 = 0.0838
p-value is 0.0838
c. Since the p-value is greater than the level of significance α=0.05, we reject the alternative hypothesis and accept the null hypothesis
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Approximately what portion of the box is shaded blue?
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
Answer: 1/2
help me plzzz its too hard