Answer:
[tex]\sqrt3[/tex]
Step-by-step explanation:
I'm assuming you're dealing with degrees.
If that's the case, then I would first find the closest multiple of 360 to that number.
360*20 = 7200, which is a bit too high; 360*19 = 6840, still a bit too high; 360*18 = 6480, perfect.
Now, just subtract 6480 from 6720 and you will get 240.
The answer is now simplified to tan 240, which can be expressed as sin(240)/cos(240).
240 degrees is 30 degrees away from 270, creating a 30-60-90 triangle.
That means cos(240) is -1/2 and sin(240) is -sqrt(3)/2.
Now, just divide:
[tex]-\frac{\sqrt3}{2}/-\frac{1}{2} = -\frac{\sqrt3}{2}\cdot-2 = \sqrt{3}[/tex]
Therefore, tan(6720 degrees) = [tex]\sqrt3[/tex]
Simplify. Round your answer to three decimal places.
1
2
·
2
3
+ 0.345
Answer:
1/2 times 2/3 equals 0.333333....
that plus 0.345 equals 0.678
Step-by-step explanation:
-2(x-3)+4x=-(-x+1) solve for x
Answer:
- 7
Step-by-step explanation:
Step 1:
- 2 ( x - 3 ) + 4x = - ( - x + 1 ) Equation
Step 2:
- 2x + 6 + 4x = x - 1 Multiply/Open Parenthises
Step 3:
2x + 6 = x - 1 Combine Like Terms
Step 4:
x + 6 = - 1 Subtract x on both sides
Answer:
x = - 7 Subtract 6 on both sides
Hope This Helps :)
Help ASAP!! I don’t get it
3.8.10) Inclusions are defects in poured metal caused by contamitants. The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2 per cubic millimeter. Deter mine the following:
(a) Probability of at least one inclusion in a cubic millimeter.
(b) Probability of at least 3 inclusions in 4.0 cubic millimeters.
(c) Volume of material to inspect such that the probability of at least one inclusion is 0.98
(d) Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.
Answer:
a) P(X>=1) = 0,7293 or P(X>=1) = 72,93 %
b) P(X>=3) = 0,5686 or P(X>=3) = 56,86 %
c) y = 0,8494 mm³
d) λ = 1,69897 inc per mm³
Step-by-step explanation:
a) P(X>=1) = 1 - P(X=0)
P(X = 0) = λ⁰ * e∧⁻λ / 0! where λ = 2 in/mm³
P(X = 0) = e∧-2 ⇒ P(X = 0) = 0,2706
Then
P(X>=1) = 1 - 0,2706
P(X>=1) = 0,7293 or P(X>=1) = 72,93 %
b) 3 inc. in 4 mm³ = 2*4/3 λ = 2,67 inc. per mm³
P(X>=3) = 1 - P(X=1 ) - P(X=2)
P(X=1) = λ¹ * e∧-λ / 1! ⇒ P(X=1) = 2,67 *e∧- 2,67/1
P(X=1) = 0,1846
P(X=2) = λ² * e∧-λ / 2! ⇒ P(X=2) = (2,67)² * e ∧ - 2,67/2
P(X=2) = 7,1289* 0,06925/2 ⇒ P(X=2) = 0,2468
Then
P(X>=3) = 1 - 0,1846 - 0,2468
P(X>=3) = 0,5686 or P(X>=3) = 56,86 %
c) P(X>=1) = 0,98
and λ = 2*y where y is the quantity of material
P(X=0) = 1 - P(X>=1)
P(X=0) = 1 - 0,98 P(X=0) = 0,02
0,02 = (2*y)⁰ * e ∧ -2*y /0!
0,02 = 1 * e ∧ -2*y
Taking log on both sides of the equation
log (0,02) = -2*y - 1,69897 = - 2*y
y = 0,8494 mm³
d) P(X >=1 ) = 1 - P( X = 0)
0,98 = 1 - P( X = 0)
P( X = 0) = 0,02
0,02 = λ⁰ * e ∧ - λ / 0!
0,02 = e ∧ -λ
Taking log on both sides of the equation we get:
log ( 0,02 ) = - λ
- 1,69897 = - λ
λ = 1,69897 inc. per mm³
A pot of stew is placed on a stove to heat. The temperature of the liquid reaches 170°F, and then the pot is taken off the burner and placed on a kitchen counter. The temperature of the air in the kitchen is 76°F.
If k = 0.34, the temperature of the liquid after 7 hours will be
Answer:
Step-by-step explanation:
scvghytredfvbghnju7y6tg
B.
С
3
2
4
А
m.
D
Name _3 in as many different ways as possible.
and
Determine the value of y in the equation "y= 2x=3" for the value of x=4
Answer:
y=8-3=5
Step-by-step explanation:
Malik completed 7 1/2 math problems in 10 1/3 minutes. If he has 20 problems on his homework, how long will it take him to complete his homework at the same pace?
Answer:
14.52 min
Step-by-step explanation:
7.5 prob in 10.33333 min
7.5/10.333 =.7258 prob per min
.7258 ×20 prob = 14.52 min
I converted to decimals but you don't have to
The solution for the equation 1,057=b+670 is
Answer:
b = 387
Step-by-step explanation:
1057 - 670 = 387
First isolate B by putting the 670 to the other side of the equal sign. However, in order for the equation to remain equal, you must subtract 670 from both sides.
1057 - 670 = B + 670 - 670
387 = B
-5(x+1)= - 3(2x-2)
x= 11
X=-3
x=3
x= -11 please help quick!!!
When we carry out a chi square test of Independence the alternate hypothesis states that the two relevant classification blank
Answer: that's false
Step-by-step explanation:
degrees of freedom=(r-1)(c-1)
If I'm wrong I'm sorry
What is the value of the expression below when w = 3. 4w^2 - 7w - 8
Step-by-step explanation: The prime factorization of 4320 is
2•2•2•2•2•3•3•3•5
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 4320 = √ 2•2•2•2•2•3•3•3•5 =2•2•3•√ 30 =
± 12 • √ 30
√ 30 , rounded to 4 decimal digits, is 5.4772
So now we are looking at:
w = ( -40 ± 12 • 5.477 ) / -34
Two real solutions:
w =(-40+√4320)/-34=(20-6√ 30 )/17= -0.757
or:
w =(-40-√4320)/-34=(20+6√ 30 )/17= 3.110
MY HEAD HURTS!
Answer:
7
Explanation:
If North high school has 5000 students and south high school has 1 tenth as many how many students dose south high have?
To solve -6x + 4 = -20, what steps would you perform? Subtract 4. Divide by -6.
Answer:
x = 4
Step-by-step explanation:
Original Equation:
-6x + 4 = -20
Subtract 4 from both sides.
-6x = -24
Divide both sides by -6
x = 4
Hope I helped :)
Please consider Brainliest :)
Answer:
To solve -6 x + 4 = -20, what steps would you perform?
Subtract
4.
Divide by
-6.
Step-by-step explanation:
During a mayoral election, candidate A spent $960,000 on her campaign, and candidate B spent
$720,000 on her campaign. What is the ratio of candidate A's campaign spending to candidate
B's campaign spending?
Answer:
I think it is 4:3
Step-by-step explanation:
From $960,000 take away $720,000 and you get $240,000 and that $960,000 divide by $240,000 and you get 4 and you do the same with $720,000 and you get 3
The requried ratio of candidate A's campaign spending to candidate B's campaign spending is 4 : 3.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
here,
During a mayoral election, candidate A spent $960,000 on her campaign, and candidate B spent $720,000 on her campaign.
The ratio of candidate A's campaign spending to candidate B's campaign spending,
= 960000 / 720000
= 96 / 72
= 4 / 3
Thus, the requried ratio of candidate A's campaign spending to candidate B's campaign spending is 4 : 3.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ5
Amy is trying to find a lid for a pot with a radius of 12 inches. How big is the lid?
Answer:
24 in
Step-by-step explanation:
the radius would be half of the whole amount
20 POINTS!!!!!!!!!!!!!!
What's a better show, Trailer Park Boys or Adventure Time?
Answer:
adventure time 100%
Step-by-step explanation:
Both are the best shown in their place.
Trailer Park Boys:A mockumentary sitcom television series from Canada called Trailer Park Boys was created by Mike Clattenburg. The television series, which is a continuation of Clattenburg's 1999 movie of the same name, chronicles the misadventures of a group of trailer park residents, some of whom are ex-convicts, who reside in the fictitious Sunnyvale Trailer Park in Dartmouth, Nova Scotia. After making its Showcase debut on April 22, 2001, the program initially aired for seven seasons before coming to an end with an hour-long special on December 7, 2008. Three additional movies based on the TV show have been produced: The Movie (October 6, 2006); Countdown to Liquor Day (September 25, 2009); and Don't Legalize It (April 18, 2014).Adventure Time:Pendleton Ward produced the American fantasy animated television series Adventure Time[c] for Cartoon Network. The show centers on the exploits of Finn (Jeremy Shada), a young kid, and Jake (John DiMaggio), a dog with the magical ability to change size and shape at will. They engage with Princess Bubblegum (Hynden Walch), the Ice King (Tom Kenny), Marceline (Olivia Olson), BMO (Niki Yang), and other characters while living in the post-apocalyptic Land of Ooo.
Therefore, there is no comparison between the shows, both are the best shows in their place.
Know more about Adventure here:
https://brainly.com/question/25950911
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Plz help I don’t know what to do it and I need a explanation for it
Answer:
A function is defined as an equation in which no x value has two y values. You can find the answer to this via the vertical line test. If you move a pencil across a graph and it does not touch the graph at two points, then it is a function. Utilizing this logic, the correct answer is yes, this is a function.
Step-by-step explanation:
What percent of 123 is 140? *
Answer:
172.2
Step-by-step explanation:
Answer:
113.8%
Step-by-step explanation:
let the unknown percentage be x%
hence we can re-write the given question as a mathematical equation
"What percent of 123 is 140" can be re-written mathematically as:
x% of 123 = 140
x/100 of 123 = 140
( x/100 )123 = 140 (multiply both sides by 100)
x(123) = 140 x 100
x(123) = 14000 (divide both sides by 123)
x = 14000 / 123
x = 113.8%
If (44)x = 432, what is the value of x?
Answer:
about 9.82
Step-by-step explanation:
i just divided 432 by 44 in order to isolate x
i hope that correct ans helps
Answer:
x = 9 ⁹/₁₁Step-by-step explanation:
(44)x = 432
divide both side by 44
x = 432 / 44
x = 9 ⁹/₁₁
Question 10 of 10
Does this table represent a function? Why or why not?
2
1.
4
3
4
4.
слол | |
2
Сл
Answer:
No, because one x-value corresponds to two different y-values ⇒ D
Step-by-step explanation:
The relation of x and y can be a function if every x has only one value of y (x not repeated)
Examples:
The relation {(3, 5), (-4, 6), (0, 5)} is a function because every x has only one value of yThe relation {(3, 5), (-4, 6), (3, -5)} is not a function because x = 3 has two values of y 5 and -5Let us check the given table
∵ At x = 2, y = 1
∵ At x = 3, y = 4
∵ At x = 4, y = 4
∵ At x = 5, y = 2
∵ At x = 5, y = 5
∵ x = 5 has two values of y 2 and 5
→ That means x is repeated
∴ Not every x has only one value of y
∴ The table does not represent a function
∴ The right answer is D
Find the GCF for the given list.
24x,12
The GCF is [_]?
Answer:
GCF is 2 x 2 x 3 = 12Step-by-step explanation:
to get the GCF of 24 and 12
you have to factor each value, then choose all the copies of
factor and times or multiply them.
so,
24 = 2 2 2 3
12 = 2 2 3
GCF = 2 2 3
therefore, the GCF is 2 x 2 x 3 = 12
hope it helps. good luck!
Please help omg. ASAP.
Answer:
We have to find the equation of the red line
To get the equation of the line in the slope-intercept form,
we need its slope and its y-intercept
Finding the Slope
we know that the slope of a line is the rise of the line / run of the line between 2 points
here, the 2 points are already marked on the graph
So, slope = rise / run
we notice that the line rises only 2 units and runs 8 units between the points: (-5 , 3 ) and (3 , 5)
Slope = rise / run
now that we know the values of rise and run, we can plug the values to get the slope
Slope = 2 / 8
Slope = 1 / 4
Finding the y-intercept
We will now look at the point (-5 , 3) , we know that the slope is 1/4.
which means that every time the line moves 1 unit to the right, it also moves 1/4 units up
So, until the point (-1 , 4), the line has finally ascended 1 unit and now is at a proper coordinate
We can see that the line is only 1 unit to the left of the y-axis, so the y-coordinate of the line after moving 1 unit to the right is the y-intercept
since the line ascends 1/4 units every time it moves 1 unit to the right,
the ordinate of the line at the y-axis will be 1/4 more than the last ordinate (which was 4)
y-intercept = (4 + 1/4)
y-intercept = 17 / 4
Equation of the line
From the question, we know that the general form of the slope-intercept form is :
y = mx + b (where m is the slope and b is the y-intercept)
y = (1/4)x + (14/4)
y = (x + 14) / 4
find the two angle measures from the diagram 12x-18 8x +10 answers are 114 and 66 or 66 and 66 or 114 and 114 will mark brainiest
Answer:
66 and 66Step-by-step explanation:
opposite angles are equal
12x - 18 = 8x + 10
combine similar terms:
12x - 8x = 10 + 18
4x = 28
x = 28/4
x = 7
plugin the value of x=7 back into the equation to solve the angle
= 12x - 18
= 12(7) - 18
= 66
= 8x + 10
= 8(7) + 10
= 66
write 615,600 in scientific notation
Answer:
= 6.156 × 105
(scientific notation)
Step-by-step explanation:
= 6.156 × 105
(scientific notation)
= 6.156e5
(scientific e notation)
= 615.6 × 103
(engineering notation)
(thousand; prefix kilo- (k))
= 615600
(real number)
The unit digit in the square of the number 572 is
Answer:
The unit digit of the square of 572 is 4Step-by-step explanation:
In this problem, we are expected to tell what number is at the unit position of the square of 572.
firstly, what is the square of 572.
this is gotten as = 572^2
=572*572
=327184
from the result, the value at the unit position is 4
The unit digit of the square of 572 is 4
Which number is missing on the number line below?
A number line from negative 15 to 15 by fives. The number between negative 10 and zero is missing.
Answer:
it should go
-15, -10, -5, 0, 5, 10, 15
Calculate the pay for the following day of a weekly time card given a wage of $12/hr
Answer:
Step-by-step explanation:
At a pay of 12$ per hour at 8 hours a day you will make 94$ a day or 658$ a week.
A trader starts with 80 mangoes. She
sells 36 during the day. What percentage
of mangoes are left at the end of the
day:
the trader sell 36 mangos.
so she has 44 mangos with her.
44÷88=0.55
0.55×100%=55%
Katherine is a waitress at a restaurant. Each day she works, Katherine will make a
guaranteed wage of $20, however the additional amount that Katherine earns from
tips depends on the number of tables she waits on that day. From past experience,
Katherine noticed that she will get about $7 in tips for each table she waits on. How
much would Katherine expect to earn in a day on which she waits on 11 tables? How
much would Katherine expect to make in a day when waiting on t tables?
Earnings for 11 tables:
Earnings for t tables:
What is the earings for t tables?
Answer:
$97
Step-by-step explanation:
She makes $97 for 11 tables. The equation is 7t+20. Hope this helped :)
