answer
y = cos(x - π/2) Solve for x:
y = sin(x)
y = sin(x) is equivalent to sin(x) = y:
sin(x) = y
Take the inverse sine of both sides:
Answer: |
| x = π - sin^(-1)(y) + 2 π n_1 for n_1 element Z
or x = sin^(-1)(y) + 2 π n_2 for n_2 element Z
Solve (x-4)^2=5 (Full question shown in the image below)
Answer:
Answer is option a) x = 4 ±√5
Step-by-step explanation:
[tex]given \: equation \: is \\ {(x - 4)}^{2} = 5 \\ taking \: sqareroot \: on \: bot \: sides \\ x - 4 = ± \sqrt{5 } \\ x = 4± \sqrt{5} [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
help me fast please ASAP
Answer:
6 sticks for the pattern of number 6
3 sticks for the pattern of number n
Step-by-step explanation:
Please check the attached picture.
This is a standard way to create number 6 and number n from sticks.
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
(a)
Record the number of sticks and look for a pattern
1 → 6 sticks
2 → 10 sticks
3 → 14 sticks
There is a difference of + 4 between each pattern, thus add 4 to the previous pattern , that is
4 → 14 + 4 = 18
5 → 18 + 4 = 22
6 → 22 + 4 = 26
That is there are 26 sticks in pattern number 6
---------------------------------------------------------------------------
(b)
Multiplying the pattern number (n) by the difference 4 gives
4 × 1 = 4 ← require to + 2 for 6
4 × 2 = 8 ← require to + 2 for 10
4 × 3 = 12 ← require to + 2 for 14
Thus pattern number n would have
sticks = 4n + 2
A banker has $1000 to invest. She deposits part of it in a stock paying 4%, and the rest in bonds that offer 5% return. If the total interest earned in one year was $440, how much was invested at each rate?
Answer:
Step-by-step explanation:
Given that:
4x + 5x = $440
9x = $440
x = $49 (Approx.)
So, she received :
from the stock = 4 x 49 = $196
from the bond = 5 x 49 = $245
SO, now, how much did she invest ?
Answer:
Step-by-step explanation:
Let x represent the amount invested at 4% and y the amount at 5%. Then x + y = 1000.
Then:
0.04(1000 - x) + 0.05x) = 440 (total interest)
Then:
40 - 0.04x + 0.05x = 440, or
0.01x = 400, or
x = 40000 (not possible, because the principal is only $1000.
Something's wrong here. Double check to ensure that you've copied the problem down correctly.
Which graph represents the following system of inequalities.
Answer: Graph C is correct
Step-by-step explanation:
The region below the dashed red line is y < 4/3x +2
The region below the solid purple line is y ≤ -1
The region below and left of the solid green line is y ≤ -3x
Answer:
C is correct
Step-by-step explanation:
Yes, most def
Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?
Answer:
y = 14
Step-by-step explanation:
y ∝ [tex]\frac{1}{x}[/tex]
=> y = [tex]\frac{k}{x}[/tex] -------------(1)
Where k is the constant of proportionality
Now,
x = 7, y = 4
Putting in (1)
4 = [tex]\frac{k}{7}[/tex]
So,
=> k = 28
Now y = ? when x = 2
Putting x and k in (i)
y = [tex]\frac{28}{2}[/tex]
y = 14
Answer:
[tex]y=14[/tex]
Step-by-step explanation:
[tex]y \propto 1/x[/tex]
[tex]y=k/x[/tex]
[tex]4=k/7[/tex]
[tex]4 \times 7 = k[/tex]
[tex]28=k[/tex]
[tex]y=28/x[/tex]
[tex]y=28/(2)[/tex]
[tex]y=14[/tex]
A relação entre o tempo e a distância percorrida pelo ciclista é uma função? Justifica.
Answer: Yes, it is a function.
Step-by-step explanation:
This question is:
"A relation between time and distance traveled by a biker is a function?"
Well, as you may know, a function is a relation where each value in the domain or input, has only linked one value in the range or output.
In this relation the domain is time and the range is the distance.
Now, as you know, at each given time, the distance of the biker can be only one (he can not be at different locations at the same time) so this relation is actually a function.
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle
Answer:
30° each
Step-by-step explanation:
Complementary angles are those that add up to 90° so if they are all equal then it's
90/3=30°
Answer: 30° each
Complementary angles are those that add up to 90° just to remind you!!
Find the area of a rectangle with the following dimensions
Length=×+3
Width=4
Answer:
4x+12
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = (x+3) *4
Distribute
A = 4x+12
1 Point
Write a mathematical sentence that expresses the information given below.
Use cas your variable name. If necessary:
type < = to means
or > = to mean >.
Henry had charged 933 dollars to his credit card. Even after the cost of his
next purchase, he was still under his credit limit of 1500 dollars.
Answer here
Answer:
933+x < 1500
Step-by-step explanation:
Let x be the next purchase
The first charge of 933 and the next purchase is less than 1500 dollars
933+x < 1500
Answer:
1500>933+c
Step-by-step explanation:
,............
You are given the sequence of digits "0625", and can insert a decimal point at the beginning, at the end, or at any of the other three positions. Which of these numbers can you not make? 6 25 6 25 5 8 5 8 1 16 1 16 25 4 25 4 25 2 25 2
Answer:
25/4
Step-by-step explanation:
Because I say so
Let f(x)=5x+2 and g(x)=5x^2+4x. After simplifying, (f⋅g)(x)=______
Answer: [tex]f(g(x))=25x^{2}+20x+2\\[/tex]
Step-by-step explanation:
(f·g)(x) also means f(g(x)).
So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.
[tex]f(g(x))=5(5x^{2}+4x)+2[/tex]
Now distribute the 5.
[tex]f(g(x))=25x^{2}+20x+2[/tex]
This is as simplified the equation gets as it is not factor-able.
Whats is rusult of : ( - 2x² )³ . ( - 3x )²
Answer:
[tex]-72x^8[/tex]
Step-by-step explanation:
=> [tex](-2x^2)^3*(-3x)^2[/tex]
=> [tex]-8x^6*9x^2[/tex]
=> [tex](-8*9) *(x^6x^2)[/tex]
When bases are same powers are to be added
=> [tex](-72)(x^{6+2})[/tex]
=> [tex]-72x^8[/tex]
Answer:
[tex]- 72x^{8}[/tex]
Step-by-step explanation:
[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]
Distribute the exponents to the brackets.
[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]
[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]
[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]
[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]
[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]
Multiply like terms and add exponents with same bases.
[tex]- 72 \times x^{2+6}[/tex]
[tex]- 72 \times x^{8}[/tex]
WILL GIVE 60 PTS! PLEASE HELP ME!!!! ANYTHING WILL HELP JUST EXPLAIN HOW TO GET THE ANSWER X is increased by 50% and decreased by 30% . What is the result? I am giving 60 points!
Answer:
[tex]\frac{5x+1}{5}[/tex]
Step-by-step explanation:
Given Condition:
=> x+50%-30%
=> x+20%
=> [tex]x+ \frac{20}{100}[/tex]
LCM = 100
=> [tex]\frac{100x+20}{100}[/tex]
Taking 20 common
=> [tex]\frac{20(5x+1)}{100}[/tex]
=> [tex]\frac{5x+1}{5}[/tex]
Hope this helps!
Don't hesitate asking anything regarding this!
► Find the surface area of cylinder whose base diameter is 5cm
and height is 30cm.(pi=22/7)
Answer:
510.71 cm^2Solution,
[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment...
Answer :
Here,
Diameter = 5cm so, radius = 5/2 = 2.5
Height = 30 cm
Surface area of a cyclinder = 2πr(r+h)
= 2 × 22/7 × 2.5 ( 30 + 2.5 )
= 5 × 22/7 × 32.5
= 510.71 cm²
Use triangle ABC to write the value of sin B as a ratio. Use triangle ABC to write the value of sin B as a ratio.
Answer:
[tex] \sin(b) = \frac{12}{13} [/tex]
please explain while solving
Answer:
48Step-by-step explanation:
In the picture above
I hope it helps :)
1/2log25-2log3+log8
Answer:
log base 10 of 40/9, log(40/9), or 0.6478
Step-by-step explanation:
Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.
Find the area of this irregular figure. All angles are right angles. 128 in2 296 in2 256 in2 80 in2
Answer:
256in²
Step-by-step explanation:
Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16
384-128=256in²
What is 3x+2y=-12 in Y=Mx+b form? Please answer ASAP
Hey there! :)
Answer:
y = -3/2x - 6
Step-by-step explanation:
Begin by isolating the 'y' variable:
3x + 2y = -12
Subtract both sides by 3x:
2y = -3x - 12
Divide both sides by 2:
y = -3/2x - 6
Therefore, the equation in y = mx + b form is:
y = -3/2x - 6
Answer:
y= -1.5x-6
Step-by-step explanation:
In order to turn this equation into y=mx+b form, we need to move x to the other side.
Step 1 : Minus 3x on each side, leaving the equation into 2y=-12-3x
Step 2 : Now that we have everything on the right side, divide the equation by 2.
Step 3 : After dividing -12 and -3x, we are left with -6 and -1.5x (or -1/2x) which leaves us with y=-1.5x (OR -1/2x) - 6.
Please Hurry!!!! A Newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft above the ground, and then anchored to the ground 4ft from the base of the tree. How much wire is needed for the trees
Answer:
5 ft, I think
HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!
Answer:
58
Step-by-step explanation:
First, find the interior angle adjacent to the angle GFD.
180 - (34+24) = 180 - 58 = 122
Now, the exterior angle = 180 - 122 = 58
hope this helps
PLEASE ANSWER ASAP FOR BRAINLIEST!!!!!!!
Answer:
2144.66
Step-by-step explanation:
V = 4/3 π r^3
Answer:2144.66
Step-by-step explanation:
formula for volume of a sphere- v=4/3 pi r^3
v=4/3 pi 8^3
V= 4/3 pi 512
v=2048pi
v=2144.66
Dylan scored a total of 48 points in the first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
Answer:
g = 48 divided by 4
Step-by-step explanation:
Answer:
g=48/4
Step-by-step explanation:
this thing / mean divided
which function is graphed below
Answer:
y = tan(x) - 2
Step-by-step explanation:
Answer:
y=tan(x)-2
Step-by-step explanation:
A cylinder has a radius of 2 meters and a height of 10 meters. What is the volume of the cylinder? Cylinder V = Bh 1. Write the formula replacing B with the formula for the area of a circle: 2. Substitute the actual measures for the variables: 3. Evaluate the power: V = πr2h V = π(22)(10) V = π(4)(10) 4. Simplify: V = π m3
Answer:
V = πr^2h
V = 40π m^3
Step-by-step explanation:
volume of a cylinder
V = Bh,
where B = area of the base
When the base is a circle, then the area of the base is
B = πr^2
Then the volume of the cylinder is
V = πr^2h
You are given the radius is 2 m, and the height is 10 m, so you have
r = 2 m, and h = 10 m
V = π(2 m)^2(10 m)
V = π(4)(10) m^3
V = 40π m^3
Answer:
40
Step-by-step explanation:
just got it right
square root of 0.925 by long division method
0.96176920308
Hope it Helps you :)A savings account pays 4 1/2% interest. How much interest
will be earned on $450 in 3 years? How much money will
be in the account in 3 years?
i already know the answer i just need help solving it help!!!
Answer: Amount in account after 3 years $513.52
Interest accrued in 3 years is $63.52
Step-by-step explanation:
450 x 4.5% = 20.25
Add to balance 20.25 + 450 = 470.25
470.25 x 4.5% = 21.16
Add to balance 21.16+470.25=491.41
491.41 x 4.5% = 22.11
Add to balance 22.11 + 491.41 = 513.52
Using the given points, determine the slope.
(8, 1) and (8, -4)
slope = -5
slope = 0
slope is undefined
Answer:
slope is undefined
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-4 -1)/(8-8)
= -5/0
We cannot divide by zero so the slope is undefined
Answer:
Slope is undefined .
Step-by-step explanation:
(8, 1) (8, -4)y2 - y1
m = ---------------
x2 - x1
-4 - 1 -5
m = --------------- = ----- - = 0
8 - 8 0
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Answer:
D. a = 29, b = 16, c = 24, d = 30, e = 22
Step-by-step explanation:
got it right on edge
The number of students who like both algebra and geometry is 27.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.
The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.
The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.
The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).
We are given that:
A = 45
G = 53
U = 75
U - (A ∪ G) = 6
Now,
U - (A ∪ G) = 6
75 - (45 + 53 - A ∩ G) = 6
27 = A ∩ G
Therefore,
The number of students who like both algebra and geometry is 27.
Learn more about the Venn diagram here:
https://brainly.com/question/1605100
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The complete question.
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Find the number of students who like both algebra and geometry.
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, … starts with two 1s, and each term afterward is the sum of its two predecessors. Which one of the ten digits is the last to appear in the ones position of a number in the Fibonacci sequence?
Answer:
6
Step-by-step explanation:
Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:
$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$
The last digit to appear in the units position of a number in the Fibonacci sequence is $6.
The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].
The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.
The next terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.
Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.
Learn more here:
https://brainly.com/question/13247630?referrer=searchResults