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Related Questions
What is the exact value of Tangent (StartFraction pi Over 12 EndFraction)
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Answer:
a
Step-by-step explanation:
just did it and got right
The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.
Let,
= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]
Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
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The percentage of sprouted seeds for a single crop can be modeled by a logistic function that is represented by y=100/1+99e^-0.89x. Which statements about the scenario are true? Check all that apply.
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Answer:
A, B, and C
Step-by-step explanation:
PLEASE HELP 20 POINTS...PLEASE HELP
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Answer: the slope of this line is 2/3
Step-by-step explanation:
If you use rise/run, you will find that rise=2 and run=3, so the slope 2/3.
Answer: -2/3
rises by 2 and runs by 3
using points (0,2) and (-3,3)
I hope this is good enough:
Central City High's basketball team will be entering the playoffs at the end of their regular season. There will be 3 other teams in the playoffs, with season average scores of 87, 92, and 119. Central City High has played 7 games with an average score of 91. What score range could they have in their eighth and last regular season game to have the second highest season average score in the tournament?
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Answer:
99<x<315
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
edg. 2021
The height in feet of a squirrel running up and down a tree is a function of time in seconds. Here are statements describing the squirrels movement during four intervals of time Match each description with a statement about the average rate of change of the function for that interval. The squirrel runs up the tree
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Answer:
answer choices?
Step-by-step explanation:
help, please for 20 points
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9514 1404 393
Answer:
salt, super clean, pepper, washing powder
44oz drink, popcorn, 32oz drink
Step-by-step explanation:
The number of ounces can be found by dividing the price by the price per ounce:
3.60/(0.30/oz) = 12 oz . . . salt
8.80/(0.11/oz) = 80 oz . . . super clean
6.72/(0.42/oz) = 16 oz . . . pepper
7.80/(0.13/oz) = 60 oz . . . washing powder
__
3.52/(0.08/oz) = 44 oz . . . 44oz drink
9.00/(0.18/oz) = 50 oz . . . popcorn
1.92/(0.06/oz) = 32 oz . . . 32oz drink
19. Jake thinks of a secret number. He says that his secret number is more than 6 units away from 2. Write a
compound inequality that gives the possible values of Jake's number. Graph the inequality.
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Angle M and angle R form a supplementary angle.
The measure of Angle R is 40+2x.
The measure of angle M is 13x.
What is the value of x
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Answer:
[tex]x = 9.33(appx)[/tex]
Step-by-step explanation:
If two angles form an supplementary angle, their sum will be 180°.
In the question , angleM & angleR form a supplementary angle.
[tex] = > 13x + 40 + 2x = 180[/tex]
[tex] = > 15x + 40 = 180[/tex]
[tex] = > 15x = 180 - 40 = 140[/tex]
[tex] = > x = \frac{140}{15} = 9.33(appx)[/tex]
For a United Way fund-raising dinner, a total of 245 tickets were sold. Adult tickets sold for $6.50, and child tickets sold for $3.00. If $1410.50 worth of tickets were sold, how many adult and child tickets were sold?
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Answer:
Adults =193
children=52
Step-by-step explanation:
Step one:
let the number of tickets adults be x
and the number of tickets children be y
x+y=245--------1
6.5x+3y=1410.5---2
Step two:
solve the system of equation using substitution
x+y=245
x=245-y
put x=245-y in equation 2 we have
6.5(245-y)+3y=1410.5
1592.5-6.5y+3y=1410.5
-6y+3y=1410.5-1592.5
-3.5y=-182
y=182/3.5
y=52
put y=52 in x=245-y
x=245-52
x=193
Write an equation in slope intercept form for the line that it passes through (10, 3) and is parallel to the line described by y = 4x + 7.
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Answer:
y = 4×-37
Step-by-step explanation:
y - 3 = 4(× - 10)
y - 3 = 4× - 40
+3. +3
y = 4x - 37
sorry if this wrong, but the equation setup is right
Is 12 even or odd? Pick you choice
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Answer:
Even
Step-by-step explanation:
—16t^2 + 64t + 3
Please help as soon as possible 33 points if you do it!!
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Answer:
51t^3
Step-by-step explanation:
64+3=67
67 +(-16)=51
t^2 +t= t^3
now you just add them up but they cant be combined because one is a number and the other a variable w an exponent so we just get 51t^3
Subtract 7b(2a 2 +5a-7) from (7a 2 -a+3 )-3b(6a 2 -b+3)
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Answer:
[tex]\huge\boxed{-32a^2b+7a^2+3b^2-35ab-a+40b+3}[/tex]
Step-by-step explanation:
[tex]7b(2a^2+5a-7)\qquad|\text{use the distributive property}\\\\=(7b)(2a^2)+(7b)(5a)+(7b)(-7)=14a^2b+35ab-49b\\\\\\(7a^2-a+3)-3b(6a^2-b+3)\qquad|\text{use the distributive property}\\\\=7a^2-a+3+(-3b)(6a^2)+(-3b)(-b)+(-3b)(3)\\\\=7a^2-a+3-18a^2b+3b^2-9b[/tex]
Substraction
[tex](7a^2-a+3-18a^2b+3b^2-9b)-(14a^2b+35ab-49b)\\\\=7a^2-a+3-18a^2b+3b^2-9b-14a^2b-35ab+49b\\\\\text{combine like terms}\\\\=(-18a^2b-14a^2b)+7a^2+3b^2-35ab-a+(-9b+49b)+3\\\\=-32a^2b+7a^2+3b^2-35ab-a+40b+3[/tex]
y = 3x = 2
=
- x + 6
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Need help on this Math problem
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Answer:
I hope I helped :)
Step-by-step explanation:
a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.
b. The slope represents Sam's monthly fee.
c. Sam's monthly fee is 0.4 or 2/5
d. Every 50 minutes is $20.
What fraction of a metre is 20cm?
Answers
Answer:
1/5
Step-by-step explanation:
A metre is 100cm, thus
20cm/100cm= 1/5
cal d gradient B(4,-7), c(-6-5) and d two point find d gradient
Answers
Answer:
d = - 1/5
Step-by-step explanation:
slope form: m= y2-y1/x2-x1
m= -5-(-7)/-6-4
m= 2/-10
m= - 1/5
When Isaac was born he weighed 8 pounds. How many ounces are equivalent to 8 pounds?
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Answer:
128 ounces
Step-by-step explanation:
Answer:
128 ounces
Isaac weighed 8 lbs, or 128 ounces
Just multiply the mass value by 16, and you'll get 128.....
Hope this helps you
If l is parallel to m, solve for x and y.
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Answer:
Step-by-step explanation:
3x + 49 = 7x - 23
4x = 72
x = 18
11y - 1 = 3(18)
11y = 55
y = 5
The value of x is 18 and y is 5.
What are the properties of parallel lines?Following are the properties of parallel lines,
The pairs of vertically opposite angles are equal.The pairs of corresponding angles are equal.The pairs of alternate exterior angles are equal.The pairs of alternate interior angles are equal.Given:
<1 = 7y -23
<2 = 11y -1
<3 = 3x
Using corresponding angle
7x - 23 = 3x + 49
4x = 72
x = 18
again, Using corresponding angle
3x = 11y - 1
3(18) = 11y - 1
11y = 55
y= 5
Hence, the value of x is 18 and y is 5.
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1. A relation contains the ordered pairs shown. One of the ordered pairs is missing an x-coordinate. {(-1,4),(0,4),(2,5),(3,-6),(?,7)} What could be the missing x-coordinate if the relation is not a function?
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Answer:
There are 4 possible scenarios where given relation could not be a function:
i) [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]
ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]
iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]
iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]
Step-by-step explanation:
From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:
i) [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]
ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]
iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]
iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]
2b+ 9r use b=2 and r=7
Answers
Answer:
67
Step-by-step explanation:
2b+9r
2(2)+9(7)
4+63
67
Answer:
67
Step-by-step explanation:
2(2)+9(7)
4+63=67
Have a great day
Is this true or false? Ill give brainliest
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i think true because 0,4 on there is correct and so is 2,0
number of boys and girls are in the class are in the ratio of 7 : 5 the number of boys is 8 more than the number of girls what is a total class strength?
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Answer:
Step-by-step explanation:
Given ratio of boys and girls in the class =7:5
No of boys is 8more than the girls
So
Let no of boys in the class =7x
No of girls in the class=5x
7x=5x+8
2x=8
X=8/2
X=4.
Total strength =no of boys + no of girls
=7x+5x
=7×4+5×4
= 28+20
=48.
Total strength in the class is 48.
Answer:
Total class strength = 48
Step-by-step explanation:
Boys : Girls = 7 : 5
Number of boys = 7x
Number of girls = 5x
7x - 5x = 8
2x = 8
x = 8/2
x = 4
Total strength = 7x + 5x = 12x = 12*4 = 48
Which expression is equivalent to StartFraction negative 18 a Superscript negative 2 Baseline b Superscript 5 Baseline Over Negative 12 a Superscript negative 4 Baseline b Superscript negative 6 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
A. StartFraction 2 a squared b Superscript 11 Baseline Over 3 EndFraction
B. StartFraction 2 a squared b Superscript 30 Baseline Over 3 EndFraction
C. StartFraction 3 a squared b Superscript 11 Baseline Over 2 EndFraction
D. StartFraction 3 a squared b Superscript 30 Baseline Over 2 EndFraction
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Answer:
B
Step-by-step explanation:
I just took the test
Answer:
A.
Step-by-step explanation:
3x + 12 – 6x ≤ -9 Solve, graph, and express the following inequalities in interval notation.
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Graph :
The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
3x + 12 – 6x ≤ –9
Simplify the equation, then the value of 'x' is calculated as,
3x + 12 – 6x ≤ –9
6x – 3x ≥ 12 + 9
3x ≥ 21
x ≥ 21 / 3
x ≥ 7
The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.
The solution is shown on the number line.
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What does the “M” and “B” stands for in the equation y=mx+b?
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Answer:
m:number that is multiplied on x b:the y-intercept
Step-by-step explanation:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
In the equation y = mx + b, m represents slope and b represents y intercept.
In the equation y = mx + b, the variables "m" and "b" represent coefficients or constants. Specifically:
"m" represents the slope of the line. It determines the steepness or inclination of the line.
The slope indicates how much y (the dependent variable) changes for each unit change in x (the independent variable).
"b" represents the y-intercept of the line. It is the value of y when x is equal to zero.
The y-intercept is the point where the line intersects the y-axis.
m and b define the equation of a straight line in slope-intercept form, where "m" is the slope and "b" is the y-intercept.
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Denise wants to cover a 21.75 square foot wall with weathered wood. If each box of weathered wood contains 1.5 square feet of wood, how many boxes of weathered wood does she need?
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Answer: 15 boxes
Step-by-step explanation:
From the question, we are informed that Denise wants to cover a 21.75 square foot wall with weathered wood and that each box of weathered wood contains 1.5 square feet of wood.
The number of boxes of weathered wood that she need will be calculated by dividing 21.75 square feet by 1.5 square feet. This will be:
= 21.75/1.5
= 14.5
= 15 boxes approximately
Write as an exponent with the base of b:
[tex](b^{n})^{4}[/tex]
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[tex] {b}^{n \times 4} = {b}^{4n} [/tex]
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if the nth term of a sequence is 5n+1 what is the 12th term?
Answers
Answer:
61
Step-by-step explanation:
nth=5n+1
.: 12th=5(12)+1 =60+1
=61
3. Lim
x-infinity
x² +6x²+1/
x²+3
[AP]
Answers
=======================================================
Explanation:
Let n be the degree of the numerator
Let d be the degree of the denominator
If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.
In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.
----------------------
Side notes:
If n = d, then the limit at infinity is equal to a/b, where a and b are the leading terms of the numerator and denominator. If n > d, then the numerator is growing faster than the denominator, meaning the ultimate result is infinity.