Answer:
20/100*x=$30
20x/100=$30
x/5=$30
x=$30*5
x=$150
Step-by-step explanation:
20 percent of 150 equals 30 so 150 times 20 percent would give you 30
Find the exact value, without a
calculator.
710
6
sin
2
tan
12
6
2
7Tt/6
COS
Answer:
[tex]-2 -\sqrt{3}[/tex]
Step-by-step explanation:
First consider numerator
[tex]sin \frac{\frac{7\pi}{6}}{2} = sin \frac{7\pi}{12}= sin (\frac{\pi}{4} + \frac{\pi}{3})[/tex]
Using the formula : sin (A + B) = sin A cos B + cos A sin B
[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]
[tex]sin(\frac{\pi}{4} + \frac{\pi}{3}) = sin \frac{\pi}{4} \cdot cos \frac{\pi}{3} + cos \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]
[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} + \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2} \\\\= \frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4}\\\\=\frac{\sqrt{2} +\sqrt{6} }{4}[/tex]
Second consider denominator
[tex]cos \frac{\frac{7\pi}{6}}{2} = cos \frac{7\pi}{12}= cos (\frac{\pi}{4} + \frac{\pi}{3})[/tex]
Using the formula : cos (A + B) = cos A cos B - sin A sin B
[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]
[tex]cos(\frac{\pi}{4} + \frac{\pi}{3}) = cos \frac{\pi}{4} \cdot cos \frac{\pi}{3} -sin \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]
[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} - \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2}\\\\=\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}\\\\= \frac{\sqrt{2} -\sqrt{6} }{4}[/tex]
Therefore,
[tex]tan \frac{7\pi}{12} = \frac{sin \frac{7\pi}{12}}{cos\frac{7\pi}{12}}[/tex]
[tex]= \frac{\frac{\sqrt{2} +\sqrt{6} }{4}} {\frac{\sqrt{2} -\sqrt{6} }{4} }\\\\=\frac{\sqrt{2} +\sqrt{6} }{4} \times \frac{4 }{\sqrt{2} -\sqrt{6}}\\\\=\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}}[/tex]
Either we can stop here or Rationalize the denominator:
[tex]\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}} \times \frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} +\sqrt{6}} = \frac{(\sqrt{2} +\sqrt{6})^{2} }{(\sqrt{2})^2 -(\sqrt{6})^2} = \frac{2 + 6 +2\sqrt{12} }{2-6} = \frac{8+2\sqrt{12} }{-4} = \frac{8+ 4\sqrt{3} }{-4} = -2-\sqrt{3}[/tex]
can someone please help me
Answer:
yeah what you need help with
Please help!!! Will give brainliest to the first correct answer!
Answer:
a. (-4,8)
Step-by-step explanation:
the two lines intersect at this point
What are the measures of ∠1, ∠2, and ∠3? Enter your answers in the boxes
OKAY, 66% WE NEED AN 80! PLEASE HELP!
Answer:
Hi again:
77 square millimetres
Step-by-step explanation:
Have a good day :)
Answer:
56 mm²
Step-by-step explanation:
12 - 4 = 8
8 · 7 = 56
56 ÷ 2 = 28
28 mm²
28 mm² + 28 mm²
56 mm²
Tad runs one-half mile for every one-third mile that
Elaine runs. If together they run a total of 10 miles, how
far does Tad run?
Answer:
Tad ran 6 miles while Elaine ran 4 miles.
Step-by-step explanation:
Since Tad runs one-half mile for every one-third mile that Elaine runs, to determine, if together they run a total of 10 miles, how far does Tad run, the following calculation must be performed:
0.5 x 2 = 1
0.333 x 2 = 0.666
10 / 1.666 = X
6 = X
6 x 1 = 6
6 x 0.666 = 4
Therefore, Tad ran 6 miles while Elaine ran 4 miles.
Divide x^4 + 4x^3 – 2x^2 – 7 by x^2 + 1. What is the remainder?
A(t) = 110000(1 + 0.06)2025
=-= 50 Points =-= Must give the correct answer
Solve by equating exponents and using the Equality of Bases Property.
Solve (2)^x/2 = 16 for x
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEE im confused
Answer:
1.B,C,D
2.A,D,E
I don't really know how to explain it to you but thats your answer :D
I need help wit this
What is the range of {(0, 2), (1, 3), (2, 4), (1,4)}
Answer:
Mean: 2.125
median: 2
range: 4
i’m think it’s A or C. help :(
Answer:
girly
Step-by-step explanation:
I'd tell u to go with c I could be wrong tho but that's my guess and tell me if I got it right okay?
Step-by-step explanation:
the answer is n²
n plus n is 2n
and we have 2n as option b.. pls the answer is 2n
Let f(x) = cos(x) + 2x.
Where does f have critical points?
Answer:
f has no critical points.
Step-by-step explanation:
We are given:
[tex]f(x)=\cos(x)+2x[/tex]
A function has critical points whenever its derivative equals 0 or is undefined.
Differentiate the function:
[tex]f'(x)=-\sin(x)+2[/tex]
Since this will never be undefined, solve for its zeros:
[tex]0=-\sin(x)+2[/tex]
Hence:
[tex]\displaystyle \sin(x)=2[/tex]
Recall that the value of sine is always between -1 and 1.
Thus, no real solutions exist.
Therefore, f has no critical points.
A delivery driver estimates his truck uses an average
of 22.5 gal of fuel per day. This estimate is within 4%
of the actual fuel the driver records each day for one
month
Answer:
18.5 - - - - NO
24.3 ____ NO
21.6 __ YES
26.5 ___No
23.3 ___ YES
Step-by-step explanation:
Estimate = 22.5 gallons
Error margin = 4%
Hence ;
4% of 22.5 = 0.9
Actual usage :
(22.5 - 0.9) = 21.6
(22.5 + 0.9) = 23.4
Actual usage is within (21.6 ; 23.4)
Hence,
18.5 - - - - NO
24.3 ____ NO
21.6 __ YES
26.5 ___No
23.3 ___ YES
someone help..thanks:)
Answer:
Step-by-step explanation: hope u like that cus i sike that C?
Answer:
B looks like a 180 degree angle cause its js a straight line and isnt curved or bent. Brainliest plz?
Step-by-step explanation:
hi :)
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Which expression is equivalent to 4f2/3 ÷ 1/4f ?
Answer:
[tex] \frac{16 {f}^{3} }{3} [/tex]Step-by-step explanation:
[tex] \frac{4f^{2} }{3} \div \frac{1}{4f} [/tex]
[tex] \frac{4 {f}^{2}}{3} (4f)[/tex]
[tex]4 \frac{4 {f}^{2} }{3} f[/tex]
[tex] \frac{16 {f}^{2} }{3} f[/tex]
[tex] \frac{16 {f}^{3} }{3} [/tex]
Hope it is helpful....The truck shop needed 20 liters of milk.They ordered personal size weighing 500ml.How much boxes of milk did they order
please help! i will give brainliest if you answer all and correctly
Answer: a is 21 b is 45 and c is yes more people are going above because the median is above the speed limit
Step-by-step explanation:
Mr. Johnson buys 5 bottles of lemonade for the school plenie, He buys four 28-
ounce bottles and one 64 ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?
Answer:
He bought about 176 ounces or 22 cups, or 5.2 liters.
Step-by-step explanation:
1.) 4 * 28 = 112
2.) 112 + 64 = 176 (answer in ounces)
3.) 8 ounces in a cup
4.) 176 ÷ 8 = 22 (answer in cups)
5.) About 4.227 cups in a liter
6.) 22 ÷ 4.227 = 5.204636858
7.) Round to the nearest tenth = 5.2 (answer in liters)
Which of the following exponential functions represents the graph below
Answer:
option B
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
Step-by-step explanation:
which class are you
just to confirm
Help me find the mean mode range median
Answer:
Mean=2.53
median=2
mode=2
range=3
Step-by-step explanation:
1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4
MEAN
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
38/15=2.53
MEDIAN
Arrange data values from lowest to the highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
MODE
Mode is the value or values in the data set that occur most frequently.
RANGE
18-15=3
Find a formula for dy/dx if sin x + cos y + sec(xy) = 251
Answer:
[tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
FactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Trig Differentiation
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
sin(x) + cos(y) + sec(xy) = 251
Step 2: Differentiate
[Implicit Differentiation] Trig Differentiation [Chain Rule]: [tex]\displaystyle cos(x) - sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = 0[/tex] [Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = -cos(x)[/tex][Distributive Property] Distribute sec(xy)tan(xy): [tex]\displaystyle -sin(y)\frac{dy}{dx} + ysec(xy)tan(xy) + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x)[/tex][Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x) - ysec(xy)tan(xy)[/tex]Factor out [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)[/tex][Division Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Find the simple interest earned for the account
$300 at 13% annual interest for 9 years
9514 1404 393
Answer:
$351
Step-by-step explanation:
Use the simple interest formula for this.
I = Prt
where P is the invested amount at annual rate r for t years.
Using your values, we find the interest to be ...
I = $300·0.13·9 = $351
The account will earn #351 in interest over 9 years.
find the value of x
PLS HELP
Answer:
75o
Step-by-step explanation:
2x+5 = 155 (parallel lines)
x=(155-5)/2=75 deg
The five members of the Garcia family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.00. If the total cost of the trip is $240, what is the price of each train ticket? Show me the equation and show me the steps to solve it and finish with a sentence describing what a train ticket costs.
Answer:
A train ticket costs $42
Step-by-step explanation:
5x + 30 = 240 (6 * 5 = 30, cost of lunch times 5 members of family)
5x = 240 - 30
5x = 210
x = 42
A train ticket costs $42.
Barnes and Noble had a $1.00 annual dividend during 2008. If you owned 500 shares
of Barnes and Noble, how much did you receive on a quarterly dividend check?
Answer:
Is the annual dividend 1 dollar per share? Because if so, that means you would get 500 dollars yearly, and then divide that by 4 to get quarterly, making the answer 125 dollars in the quarterly check.
The amount that you receive on a quarterly dividend check will be $125.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Barnes and Noble had a $1.00 annual dividend in 2008. If you owned 500 shares of Barnes and Noble. Then the cost of the 500 shares will be
⇒ 500 x $1
⇒ $500
Then the amount that you receive on a quarterly dividend check will be
⇒ $500 / 4
⇒ $125
The amount that you receive on a quarterly dividend check will be $125.
More about the Algebra link is given below.
https://brainly.com/question/953809
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