Answer:
The answer is 0.037433155
Step-by-step explanation:
y/2 - 1/5 = 2 - y/3
please tell me this asap
Answer:
y=2 16/25
in other words, two and sixteen twenty-fifths
Step-by-step explanation:
y/2-1/5=2-y/3
Move the variables to one side and constants to the other
y/2+y/3=2+1/5
Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator
3y/6+2y/6=2 1/5
5y/6=11/5
Cross multiply
66=25y
y=66/25
y=2 16/25
HOPE THIS HELPS!!!
Convert 50 m/s to miles/hr
There are 2 students in James' class. How many students remain if 3 go outside?
Answer:
-1
Step-by-step explanation:
Please someone help me. It's about proving related to transformation of trigonometric ratios. Thank you!!
Answer:
see explanation
Step-by-step explanation:
Using sum to product identities
cos x - cos y = - 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{x-y}{2}[/tex] ) = 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{y-x}{2}[/tex] )
cos x + cos y = 2cos([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )
Note that
sin10° = sin(90 - 10)° = cos80°
Thus
[tex]\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2}) }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2}) }[/tex] ← cancel 2 from numerator/ denominator
= [tex]\frac{sin45}{cos45}[/tex] × [tex]\frac{sin35}{cos35}[/tex]
= tan45° × tan35° { tan45° = 1 ]
= 1 × tan35°
= tan35° ← as required
Answer: see proof below
Step-by-step explanation:
* Use the following Co-function Identity: sin A = cos(90 - A)
* Use the following Sum to Product Identities:
cos x - cos y = 2 sin [(x + y)/2] · sin [(x - y)/2]
cos x + cos y = 2 cos [(x + y)/2] · cos [(x - y)/2]
* Use the Unit Circle to evaluate cos 45 = sin 45 = √2/2
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \qquad \quad \dfrac{\cos 10-\sin 10}{\cos 10+\sin 10}\\\\\\\text{Co-function Identity:}\qquad \dfrac{\cos 10 -\cos (90-10)}{\cos 10+\cos (90-10)}\\\\\\\text{Product to Sum Identity:}\quad \dfrac{2\sin (\frac{10+80}{2})\sin (\frac{80-10}{2})}{2\cos (\frac{10+80}{2})\cos (\frac{80-10}{2})}\\\\\\\text{Simplify:}\qquad \qquad \qquad \qquad \dfrac{2\sin (45)\sin (35)}{2 \cos (45)\cos (35)}[/tex]
[tex].\qquad \qquad \qquad \qquad \qquad = \dfrac{2(\frac{\sqrt2}{2}) \sin (35)}{2(\frac{\sqrt2}{2}) \cos(35)}\\\\\\.\qquad \qquad \qquad \qquad \qquad = \tan (35)[/tex]
LHS = RHS: tan 35 = tan 35 [tex]\checkmark[/tex]
The electrical resistance of a wire, R, varies directly as its length, L, and inversely as its cross sectional area, A. If the resistance of a wire is 0.08 ohm when the length is 100 ft and its cross-sectional area is 0.05 in^2 , what is the resistance of a wire whose length is 4000 ft with a cross-sectional area of 0.02in^2 ? a) Write the variation equation. (R=k(l/a) b) Determine the value of the quantity indicated. WILL MARK BRAINLIEST - 50PTS! NEED FAST - with work please so I understand how to do it, thank you:)
Step-by-step explanation:
(A)
Length of wire = 30.48 m
Area of cross section = 3.22 * 10 ^ -5 m^2
[tex]R = k \frac{l}{a} [/tex]
[tex]k = \frac{R \times a}{l} = \frac{0.08 \times 3.22 \times {10}^{ - 5} }{30.48} = 8.45 \times {10}^{ - 8} ohm \: m^{ - 1} [/tex]
(B) length of wire = 1219.2 m
Area of cross section = 1.29 * 10^-5 m^2
Resistance = 8.45 * 10^-8 * 1219.2 / 1.29 * 10^-5 = 7.98 Ohms
What is the equation of the polynomial function?
Answer:
f(x) = (1/2)(x-2)^2(x+1)(x+2)
Step-by-step explanation:
You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.
Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.
However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.
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A graph where the horizontal axis shows time (t), numbered 1 to 4, and the vertical axis shows height (h) numbered 10 to 60. Solid circles appear at point (0, 48), point (1, 64), point (3, 0). A solid curved line connects all 3 points.
Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds.
What is the domain?
Answer:
the answer is A
Step-by-step explanation:
just did it
Answer:
a
Step-by-step explanation:
simply by distributing and combining like terms
-7(w-4)+3w-27
Answer:
answer is in the box. I hope this helps! :)
4x - 4y = 1 Solve the equation for y. 10 points!
Answer:
infinite solutions
y = x - 1/4
Step-by-step explanation:
4x - 4y = 1
4y = 4x - 1
y = x - 1/4
substitute
4x - 4(x - 1/4) = 1
4x - 4x + 1 = 1
0 = 0
infinite solutions
If f(x) = 5x + 40, what is f(x) when x = -5? 0 g -8 O 7 O 15
answer is 15
[tex]f(x)=5x+40\\f(-5)=5(-5)+40\\f(-5)=-25+40\\f(-5)=15[/tex]
If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.
option D is correct.
Here, we have,
given that,
f(x) = 5x + 40
now, we have to find the value of f(x) when x = -5.
To find the value of f(x) when x = -5,
we substitute -5 into the function f(x) = 5x + 40:
we get,
f(-5) = 5(-5) + 40
= -25 + 40
= 15
Therefore, f(x) when x = -5 is 15.
Hence, If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.
option D is correct.
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Help needed ASAP will give brainliest to the person that answers this
Ans option 3? it can be converted to a fraction!
Answer:
it depends on the number of decimals
Step-by-step explanation:
Micheal has saved 22.40 cents Kevin saved 3/4 of the amount that micheal saved. Jack saved 5 times as much as kevin. What is the total amount of all three
Answer:
$151.20
Step-by-step explanation:
(22.40x0.75)+(22.40x5)+22.40=151.20
A cell phone manufacturer designed the new packaging shown below that will hold a cell phone, accessories, and an owner's manual. Which is the volume of the new packaging? A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches. The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches. 130 in.3 120 in.3 110 in.3 90 in.3
Answer:
90 inches³
Step-by-step explanation:
Given that:
A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches.
The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches
Volume of rectangular prism = (width * length * height)
Volume of smaller prism: ( 5 * 1 * 2) inches = 10inch³
Volume of larger prism : (5 * 4 * (1 +3)) inches
(5 * 4 * (1 +3)) inches = (5 * 4 * 4) inches = 80 inches³
Total volume of the new packaging:
Volume of smaller + volume of larger prism
10 inches³ + 80 inches³ = 90 inches³
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $2690 and her stock in Company B was worth $2980. The stock in Company A has decreased 20% since last year and the stock in Company B has decreased 10%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
14.7 %Step-by-step explanation:
let us total the amount in her portfolio
Company A was worth $2690
Company B was worth $2980.
Total = $5670
when The stock in Company A decreases by 20% she will have
$2690 *0.8= $2152
Company A will worth $2152
when The stock in Company B decreases by 10% she will have
$2980 *0.9= $2682
Company A will worth $2682
In all after the decline in are portfolio is $2152+$2682= $4834
the difference for the original amount in her investment is = $5670-$4834
= $836
The total percentage decrease in the investor's stock account
= (836/5670)*100= 0.147*100= 14.7 %
Answer:
14.7%
Step-by-step explanation:
It’s 14.7%
Pls make me brainliest
At a place 11 Friends met together and they shook their hands. how many hand-shakings did they do?
Answer:
121
Step-by-step explanation:
Because every one of them shook with each other and one person shook 11 times so 11 into 11 is 121.
Answer:
55 handshakes.
Step-by-step explanation:
n(n-1)
----------
2
= 11(11-1) / 2
= 11* 10 / 2
= 110 / 2
= 55
Identify 21, 46, and 57 as prime or composite.
HELP!!
21 is composite because its factors are 1, 3, 7 and 21. If a number has 3 or more factors, then it's composite.
46: 1, 23, 46.
57: 1, 3, 19, 57.
Hope this helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
The numbers 21, 46, and 57 are composite numbers.
Given,
21, 46 and 57
We need to identify which are prime or composite numbers.
What are prime numbers and composite numbers?Prime number - The numbers whose factor is only 1 and itself.
Example: 2, 5, 7
2 x 1 = 2
5 x 1 = 5
7 x 1 = 7
Composite number - The numbers which have factors other than itself and 1.
Example: 4, 6, 8
4 = 2 x 2
6 = 2 x 3
8 = 2 x 4
Find the factors
21 - 7 x 3
46 - 2 x 23
57 - 3 x 19
We see that each number has factors other than 1 and itself.
So,
21, 46, and 57 are composite numbers.
Thus 21, 46, and 57 are composite numbers.
Learn more about composite numbers here:
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solve for the variable.
r
—— + 4 = 5
10
help quick!
4t – 3 – (3t +1) = 5t – 4 can i get some help?
0t
Step-by-step explanation:
4t-3-(3t+1)=5t-4
4t-3-3t-1=5t-4
t-3-1=5t-4
t-4=5t-4
t=5t
0=6t
0=t
(Im not 100% sure about this but i think this is the answer)
What is the first step in solving the equation 4.2 y minus 5.2 = 18.5?
Answer:
add 5.2
Step-by-step explanation:
A 16-cup bottle of fabric softener costs $16.80. What is the price per pint?
===============================================
Work Shown:
1 pint = 2 cups
8 pints = 16 cups (multiply both sides by 8)
We have an 8 pint bottle costing $16.80, so we can say
8 pints = 16.80 dollars
1 pint = 2.10 dollars (divide both sides by 8)
Answer:
$2.10
Step-by-step explanation:
2 cups in 1 pint
16 cups= 8 pints
16 cups = 16.80
16.80 divided by 8 = 2.1
the area of a square with a width of 2√5 in simplest form
Answer:
20
Step-by-step explanation:
(2√5)²=
4*5=20
Consider the partial construction of a line parallel to liner through point Q.
What would be the final step in the construction?
Draw a line through P and S.
Draw a line through W and S.
Draw a line through Q and S.
Draw a line through T and S.
Answer:
Option (3)
Step-by-step explanation:
To construct a line parallel to the line through point Q we will follow the following steps,
1). We join two points P (on the line) and point Q above the line PT with the help of a straightedge.
2). Now we will copy the angle QPT at point P with the help of a compass (Arcs as shown in the figure)
3). Finally we will join points Q and S to construct a line QS parallel to the line PT.
Therefore, Option (3) will be the answer.
Have to FOIL: (3x + y) (2x - y)
Hi there! :)
Answer:
6x² -xy - y²
---- --- --- --- --- --- --- --- --- --- --- ---
(3x + y) ( 2x - y)
FOIL: (First, Outer, Inner, Last)
3x(2x) + 3x(-y) + y(2x) + y(-y)
Simplify:
6x² -3xy + 2xy - y²
6x² -xy - y²
4. 6t -5+5t = 105 (t = 4; t = 7;t = 10)
Answer:
t = 10.
Step-by-step explanation:
We can combine like terms, getting 11t - 5 = 105.
Add both sides by 5, getting 11t = 105 + 5 = 110.
We can then divide both sides by 11, getting t = 10.
Area of square = 135 mm²
Perimeter of square=
Answer:
About 11.62 by 11.62
A square had equal sides so you find the square root of 135 and that is rounded to 11.62.
So the perimeter would be about 46. But 46.48 exactly.
Answer:
P≈46.48
A= Area
135
Step-by-step explanation:
2x - 4y=28+6y=10
Write equation in slope-intercept form
Answer:
Step-by-step explanation:
Y=1/2x - 5/2
NEED HELP WITH NUMBER 4!!!?
on the number line the numbers to the left have least value
-n if n = -16 I need help
(It says high school at the top but it's supposed to be middle school)
Answer: 16 is the correct answer.
Step-by-step explanation: -n if n=-16 --16 two negatives equal positive and makes it +16.
Express y in terms of x, given 2x+3y =4. Check whether the point (2,1) lies on the given line.
Answer:
see explanation
Step-by-step explanation:
Given
2x + 3y = 4 ( subtract 2x from both sides )
3y = - 2x + 4 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex]
To determine if the point (2, 1) lies on the line, substitute x = 2 into the right side of the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.
y = - [tex]\frac{4}{3}[/tex] + [tex]\frac{4}{3}[/tex] = 0 ≠ 1
Ths (2, 1) does not lie on the line
The difference between a number and 20 is 45...
Answer:
Step-by-step explanation:
25