solve and graph 3t - 12 < -9
Answers
Answer:
x = anything lower than 1
Step-by-step explanation:
x < 1
The constraint of inequality 3t - 12 < -9 is t < 1 and has been plotted on a number line.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Given the inequality
3t - 12 < -9
Add 12 on both sides
3t - 12 + 12 < -9 + 12
3t < 3
Divide by 3 into both sides
t < 1
Hence "The constraint of inequality 3t - 12 < -9 is t < 1".
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Related Questions
Your friend Fred claims that his average gym workouttime is at least 150 minutes per day. You pick a randomsample of 10 days and observe that on the days in thesample, Fred’s average workout time was 136 minutes.The standard deviation of workout times in the samplewas 28 minutes. You plan to use the sample results to testFred’s claim. Assume that Fred’s workout times are normally distributed.
Required:
Set up an appropriate hypothesis test to test Fred's claim. Use a significance level of 5%. Should Fred's claim be rejected? Explain.
Answers
Answer:
Step-by-step explanation:
Given that:
population mean = 150
Sample size = 10
Sample mean = 136
Standard deviation = 28
Significance level = 0.05
The null hypothesis:
[tex]H_o : \mu \ge 150[/tex]
The alternative hypothesis
[tex]H_a : \mu < 150[/tex]
This is a left-tailed test.
The t-test statistics can be computed as:
[tex]t = \dfrac{\overline x - \mu}{ \dfrac {s} {\sqrt{n}} }[/tex]
[tex]t = \dfrac{136 - 150}{ \dfrac {28} {\sqrt{150}} }[/tex]
t = -1.58
The P-value = P(t < -1.58)
Using the t tables
P-value = 0.0743
Decision rule: To reject the null hypothesis if the P-value is lesser than the level of significance.
Conclusion: We fail to reject the null hypothesis; since P-value is greater than (∝). Thus, there is sufficient evidence to support Fred's Claim.
No, we can not reject Fred's claim.
Tripp decided to go on vacation to the beach. After driving 60% of the way, he decided to stop for lunch. If he stopped for lunch after 240 miles of driving, how many total miles will he have to drive? Explain and/or show equation.
Answers
Answer:
40=10% im rightthe total is 400
Step-by-step explanation:
Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.
How many cupcakes does the supermarket get?
Answers
1part =75
75x4 to get supermarket
which then the answer is 300 cupcakes to for the supermarket
Leslie’s employer will match up to 3% of her salary in contributions to her 401(k). Her monthly salary is $3,200, and the company allows her to make contributions to a maximum of 10% of her salary. What is the maximum monthly deposit to Leslie’s 401(k), including her employer’s matching contribution?
Answers
Answer:
$416.00
Step-by-step explanation:
Leslie's 10% and her employer's 3% total 13% of her salary:
0.13 · $3200 = $416
The maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
What is a matching contribution?A matching contribution is a type of contribution that Leslie's employer decides to contribute to Leslie's 401(k) plan, which is an employer-sponsored retirement plan.
Data and Calculations:Monthly salary = $3,200
Leslie's maximum contribution = 10% of salary
Employer's matching contribution = 3% of salary
Total contributions to the 401(k) plan = 13% of salary
= $416 ($3,200 x 13%)
Thus, the maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
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In ΔDEF, d = 36 inches, e = 97 inches and ∠F=166°. Find the length of f, to the nearest inch.
Answers
Answer is 11.9ft.
Law of cosines:
In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
[tex]c^{2} = a^{2} + b^{2} - 2ab cos(C)[/tex]
Since we have two side lengths and an angle, we can use the Law of Cosines to find the length of the final side.
In this case we can write the law of cosines as,
[tex]f^{2} = d^{2} + e^{2} - 2(de)cos(F)[/tex]
f2 = 5.22 + 6.82 - 2(5.2)(6.8)cos(166)
f2 = 27.04 + 46.24 - 66.56 cos (166)
f2 = 73.28 - 66.56 cos 166
f = √(73.28 - 66.56 cos 166) ≈ 11.9 ft.
f ≈ 11.9 ft.
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Answer:
132
Step-by-step explanation:
S.A.S.→Law of Cosines
From reference sheet
[tex]a^2=b^2+c^2-2bc[/tex] cos A
plug in values
[tex]f^2=36^2+97^2-2(36)(97)cos 166[/tex]
square and find cosine
[tex]f^2=1296+9409-2(36)(97)(-09.70296)[/tex]
Multiply
[tex]f^2=1296+9409+6776.54535[/tex]
Add
[tex]f^2=17481.54535[/tex]
Square root and round
[tex]f=\sqrt{17481.54535}[/tex]≈132.218≈132
We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate
of 5 units per minute.
Find the rate of change of the side angle teta when x=2.
Answers
Answer:
[tex]\frac{5\sqrt{3} }{6}[/tex]
Step-by-step explanation:
Given :
base length = 2
side lengths = x
dx/dt = 5 unit/min
Determine d∅ / dt at x = 2
d∅ / dt at x = 2 = [tex]\frac{5\sqrt{3} }{6}[/tex]
attached below is a detailed solution
Solve for x.
3(-2x - 1) = 2(x + 5)
Answers
Answer:
x= − 8 /13 = −1 8 /5 = −1.625
Step-by-step explanation:
either one is the answer
<3 Enjoy,
Dea
Answer:
x=-1.625 Decimal form
x= -13/8 Fraction form
Step-by-step explanation:
3(-2x-1)=2(x+5)
Use distributive property to solve-
-6x-3=2x+10
Now add like terms
-6x-3=2x+10
+3 +3
-6x=2x+13 (get the x by itself)
-2x -2x
-8x=13 Divide
x= -1.625 Decimal form
x=-13/8 Fraction form
PLZ HELP REALLY FAST!!
Answers
Answer:
I think its A
Step-by-step explanation:
because A shows decreasing and half which is 2.
1 and 1/2 divided by 4 and 2/8
Answers
1 ÷ 4 = 0.25
1 ÷ 2/8 = 4
1/2 ÷ 4 = 1/8
1/2 ÷ 2/8 = 2
how to integrate [tex]e^{2s} *Cos \frac{s}{4}[/tex] , please help, I have no idea what to do, I would appreciate if you show your work with steps.
Answers
Answer:
[tex]\int\limits {e^{2s} cos\frac{s}{4} ds[/tex] =[tex]\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))[/tex]
Step-by-step explanation:
Step(i):-
Given that [tex]f(s) = e^{2s} cos\frac{s}{4}[/tex]
Now integrating
[tex]\int\limits {f(s)} \, ds = \int\limits {e^{2s} cos\frac{s}{4} ds[/tex]
By using integration formula
[tex]\int\limits { e^{ax} cos b x dx = \frac{e^{ax} }{a^{2}+b^{2} } ( a cos b x + b sin b x )[/tex]
Step(ii):-
[tex]\int\limits {e^{2s} cos\frac{s}{4} ds[/tex] = [tex]\frac{e^{2s} }{(2)^{2}+(\frac{1}{4}) ^{2} } ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))[/tex]
= [tex]\frac{e^{2s} }{(4+\frac{1}{16})} ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))[/tex]
= [tex]\frac{e^{2s} }{(\frac{65}{16} } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))[/tex]
= [tex]16 X\frac{e^{2s} }{65 } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))[/tex]
=[tex]\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))[/tex]
Final answer:-
[tex]\int\limits {e^{2s} cos\frac{s}{4} ds[/tex] =[tex]\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))[/tex]
PMI (Private Mortgage Insurance) protects the lender in case the borrower cannot make the loan payments. It is often required when the amount of the loan is close to the value of the home. PMI typically annually costs about .75% of the entire loan. On a $100,000 loan what would you be paying per month?
Answers
Answer:
$62.50
Step-by-step explanation:
The amount of private mortgage insurance required in this case per annum is 0.75% of the entire loan which is $100,000.
Annual insurance=0.75%*loan amount
Annual insurance=0.75%*$100,000
Annual insurance=$750
Since the annual cost of mortgage insurance per year is established, monthly cost would be annual cost divided by 12 months is which is number of months in a year that payments are to be made
monthly payment=$750/12
monthly payment=$62.50
Answer:
A
Step-by-step explanation:
Slope of -1 through point (3,-1)
Answers
Answer:
Step-by-step explanation:
Y axis of y
HELP MIDDLE SCHOOL QUESTION
Answers
Answer: 1.977
Step-by-step explanation:
Answer:
1.977
Step-by-step explanation:
determine the value of x if the measure of the sixth exterior angle of a hexagon is given by -6(3/16x-14)+3
Answers
Answer:
24°
Step-by-step explanation:
Assume the hexagon is regular.
I'm sorry. Looks like I couldn't keep my promise." Tatsumi
"I suppose it is time to die. Tatsumi, I wish that you had been beside me." Esdeath
"Well, well... I said this about the emperor, too, but dealing with fools is tiring.
Answers
Answer:
Can you please write a question
Step-by-step explanation:
Answer:
can you write a question and also can i pls get a brainliest it'll make my day a whole lot better bc i have had a terrible day today :/ have a blessed day :)
Step-by-step explanation:
I need to find what's in those four boxes
Answers
Answer:
-500 + 200, -300
|0 - 200|, +200
Step-by-step explanation:
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
You can use the division sign.
Step-by-step explanation:
48÷{2×[(6×5)-(9×3)]} =
48÷{2×[(30)-(27)]} =
48÷{2×[3]} =
48÷{6} =
8
Three friends ate lunch at a restaurant. Their friend Reggie arrived late and only ordered a glass of juice. The total bill was $39.50 before taxes. Reggie paid $2 for his juice, and the others divided the remaining amount equally. How much did each of Reggie's three friends pay?
Answers
A person riding in an elevator travels 180 feet in 30 seconds. What equation
represents this relationship? How many feet will the person travel in 10
seconds?
O A. y = 6x; 60 feet
O B. y = 6x; 6 feet
C. y = 82; 80 feet
O d. y= ; 17 feet
SUBMIT
PLEASE HELP!!!
Answers
Answer:
I believe its A
7996
Ben sat outside his school in Cambridge and made a note of the colour of
the first 100 cars that passed.
27 of the cars were red.
In Britain there are around 35 million cars on the road .
Use bens findings to give an estimate of how many cars on the road are red
Answers
Answer:
1,296,296 cars are red.
The temperature went from 84 degrees F to 66 degrees F. Find the percent change.
Answers
Answer:
-21.43%
Step-by-step explanation:
intial valu: 84
final value: 66
so this means it will eaqual-21.43% :) just remeber that the difference if 84 and 66 is -18 :) hope this helps!!!!!!!
Napoleon went on a bus trip traveling at a speed of 55 miles per hour for 4 hours which equation will help you find the distance he traveled
Answers
Answer:
220
Step-by-step explanation:
Easy!
Multiply 55 by 4!
2
55
x 4
--------
220
five times 4 is 20, so put 0 then regroup the 2. Then, 5 times 4 again, but add two!
Solve the inequality.
9p ≥ −72
Answers
Answer:
yes
Step-by-step explanation:
because of math,
Step-by-step explanation:
[tex] p\geqslant - 8[/tex]
Please help me i need it
Answers
Answer:
x+4x=5x
5x+x=6x
6x+8x=14x.
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answers
Answer:
7.9 of each
Step-by-step explanation:
Erika paid a self-employment tax last year. She calculated the self-employment tax for different amounts of net earnings and recorded them in the table shown. Self-Employment Tax Net Earnings, x Self-Employment Tax, y $0 $0 $15,000 $2,295 $30,000 $4,590 $45,000 $6,885 Which function describes the relationship between x, the amount of net earnings, and y, the self-employment tax?
a y=15/2295x
b y=153/1000x
c y=1000/153x
d y=2295/15x
Answers
Answer:The answer is B
Step-by-step explanation:
because i did the same test and got 100 A+
Solve for the variable: a-9=-5
Answers
4+5=9
Whjdkeidoejbebe
Help please What is the domain of the function
Answers
Answer: the first one
Step-by-step explanation:
how much is 1/2÷8×57÷13+15
Answers
Answer:
Use the BODMAS method and at the end work the fraction left by adding it to 15
My answer was 15.274
A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)
Answers
Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!