Answer:
X=0 or x=8/5
Step-by-step explanation:
what fraction is bigger? 11/20 or 2/5
Answer:
Let's make both of them have a common denominator since we can't just identify by the looks of it.
2 x 4 = 8
___
5 x 4 = 20
11/20 > 8/20
11/20 is bigger.
The truck shop needed 20 liters of milk.They ordered personal size weighing 500ml.How much boxes of milk did they order
find the gradient of line ab
A(t) = 110000(1 + 0.06)2025
helpppp pleaseeeeeee
Answer:
312ft
Step-by-step explanation:
Divide x^4 + 4x^3 – 2x^2 – 7 by x^2 + 1. What is the remainder?
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]
Frozen apple juice comes in a cylindrical can. A can is 12 cm high and has a radius of 3.5 cm. What is the capacity of the can? b. Apple juice expands when it freezes the can is filled to 95 % of its volume. What is the volume of the apple juice in the can.
Answer:
438.501cm^3
Step-by-step explanation:
Given data
Height of can= 12cm
Radius= 3.5cm
The capacity of the can is expressed as
V= πr^2h
V= 3.14*3.5^2* 12
V= 3.14*12.25*12
V= 461.58cm^3
Hence the capacity is 461.58cm^3
We are also given that the juice amount to 95% of the capacity of the can
95/100*461.58= x
0.95*461.58=x
x=438.501cm^3
This means that the volume of the juice is 438.501cm^3
simplify: x'2-9/x'2-3x
Answer:
this is the answer Hope's it helps
If f(y) = e^(9y) + e^(-9y), find f'(y). Use exact values.
Given:
[tex]f(y)=e^{9y}+e^{-9y}[/tex]
To find:
The f'(y).
Solution:
Chain rule of differentiation:
[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]
Differentiation of exponential:
[tex]\dfrac{d}{dx}e^x=e^x[/tex]
We have,
[tex]f(y)=e^{9y}+e^{-9y}[/tex]
Differentiate with respect to y.
[tex]f'(y)=e^{9y}\dfrac{d}{dx}(9y)+e^{-9y}\dfrac{d}{dx}(-9y)[/tex]
[tex]f'(y)=e^{9y}\cdot 9(1)+e^{-9y}\cdot (-9)(1)[/tex]
[tex]f'(y)=9e^{9y}-9e^{-9y}[/tex]
Therefore, the differentiation of the given function is [tex]f'(y)=9e^{9y}-9e^{-9y}[/tex].
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
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)
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:
help me pls no links or files if u answer correctly u get brainless hurry
Answer:
72 ft^2
Step-by-step explanation:
A = bh
A = 12 ft * 6 ft
A = 72 ft^2
Answer:
72
Step-by-step explanation:
you have to do base times height
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
Un submarino se encuentra 50m por debajo del nivel del mar y comienza a subir 2m cada 5 minutos ¿a que profundidad se encuentra a la hora de haber comenzado el ascenso?¿cuanto tiempo le faltara para llegar a la superficie?
Answer:
a) El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.
b) Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.
Step-by-step explanation:
a) De acuerdo con el enunciado, la cantidad de metros ascendidos por el submarino es directamente proporcional al tiempo, entonces la profundidad del submarino a la hora de haber comenzado el ascenso se obtiene mediante la siguiente relación lineal:
[tex]h = 50\,m - \frac{2\,m}{5\,min}\times 60\,min[/tex]
[tex]h = 26\,m[/tex]
El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.
b) En primer lugar, calculamos el tiempo total del viaje mediante la siguiente relación:
[tex]\frac{2\,m}{5\,min} = \frac{50\,m}{t}[/tex]
[tex]t = 50\,m\times \frac{5\,min}{2\,m}[/tex]
[tex]t = 125\,min[/tex] ([tex]2\,h\,5\,min[/tex])
El tiempo faltante para alcanzar la superficie se calcula mediante la siguiente sustracción:
[tex]\Delta t = 125\,min - 60\,min[/tex]
[tex]\Delta t = 65\,min[/tex] ([tex]1\,h\,5\,min[/tex])
Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.
HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST
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.
hi :)
TODAY IS THE LAST DAY OF SCHOOL YESSSSSSSSSSSSSSSSSSSSSSSSSSSS
KDAFJL;'JKLZBDS KJ.XZN,M
LETS GOOOOOOOOOOOOOOO
The area of a rectangle is n^2+6n-27. One side of the rectangle is n + 9. What is the length of the
remaining side?
[tex]n^2 +6n-27 = n^2+6n-27+0\\~\\n^2+6n-27+0 = n^2+6n-27+(3n-3n) \\~\\n^2+6n-27+(3n-3n) = n^2+9n-3n-27\\~\\n^2+9n-3n-27 = n\cdot(n+9)-3\cdot(n+9) \\~\\n\cdot(n+9)-3\cdot(n+9) = (n+9)(n-3)[/tex]
The other side is n-3
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
#SPJ2
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
Which of the following exponential functions represents the graph below
Answer:
option B
Step-by-step explanation:
=-= 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
find the value of x
PLS HELP
Answer:
75o
Step-by-step explanation:
2x+5 = 155 (parallel lines)
x=(155-5)/2=75 deg
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
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
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.
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.