Answer:
D
Step-by-step explanation:
[tex] \sin(30) = \frac{n}{ \frac{10 \sqrt{3} }{3} } \\ 0.5 = \frac{n}{5.77} \\ n = 2.88 = \frac{5 \sqrt{3} }{3} [/tex]
[tex] \cos(30) = \frac{m}{ \frac{10 \sqrt{3} }{3} } \\ 0.866 = \frac{m}{5.77} \\ m = 5[/tex]
Taylor invested $650 in an account paying an interest rate of 2.3% compounded
daily. Assuming no deposits or withdrawals are made, how long would it take, to the
nearest tenth of a year, for the value of the account to reach $880?
Answer:
Step-by-step explanation:
Given that:
Principal = $650
Interest rate, r = 2.3% = 0.023 compounded daily
Time, t it takes for final amount, A to reach $880
Using the relation :
A = P(1 + r/n)^nt
n = number of times compounded per period
Hence, n = 365
880 = 650(1 + 0.023/365)^365t
880/650 = 1.0000630^365t
1.3538461 = 1.0000630^365t
Take the log
0.1315692 = 0.0000273596 * 365t
0.1315692 = 0.0099862t
t = 0.1315692 / 0.0099862
t = 13.175101
t = 13.18 years a
write an equation that models the points (-1,4) and (3,2)
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)=(2-4)/(3- -1)=-2/4=-.5
y=-.5(3)+b, using point (3,2)
2=-1.5+b
b=3.5
y= -.5x+3.5
Please help, I don't understand how to do this equation
Answer: B) -1/3i
Step-by-step explanation: 81(-1/3i)^4
Answer:
Step-by-step explanation:
81x^4=1
x^4=1/81
(x^4)^(1/4)=(1/81)^(1/4)
x=+\-1/3
so -1/3 is a solution
The graph of a proportional relationship passes through the point (6, 21). What is the equation for the relationship?
Answer:
The equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].
Step-by-step explanation:
Given that point [tex](x,y) = (6, 21)[/tex] is part of a direct relationship. That is:
[tex]y \propto x[/tex]
[tex]y = k\cdot x[/tex] (1)
Where [tex]k[/tex] is the proportionality constant.
If we know that [tex]x = 6[/tex] and [tex]y = 21[/tex], then the proportionality constant is:
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{21}{6}[/tex]
[tex]k = \frac{7}{2}[/tex]
Lastly, the equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].
Select all that apply.
Which representations show a direct variation?
y = - x
y = 2 x + 3
Input (x) 3 6 9 12 15
Output (y) 4 8 12 16 20
Answer:
Options 1 and 3 are direct variationStep-by-step explanation:
Direct variation is:
y = kxOptions:
1.
y = -x, k = -1, yes2.
y = 2x + 3, not a direct variation, no3.
Try the input/output to determine the direct variation:
4 = 3k k = 4/3Verify the other pairs:
x = 6, y = 6(4/3) = 8x = 9, y = 9(4/3) = 12x = 12, y = 12(4/3) = 16x = 15, y = 15(4/3) = 20This is also a direct variation
f(x) =
4/x²+1
Asymptotes
Answer:
vertical asymptotes at
x
=
±
1
horizontal asymptote at
y
=
0
Step-by-step explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non-zero for these values then they are vertical asymptotes.
solve:
x
2
−
1
=
0
⇒
x
2
=
1
⇒
x
=
±
1
⇒
x
=
−
1
and
x
=
1
are the asymptotes
Horizontal asymptotes occur as
lim
x
→
±
∞
,
f
(
x
)
→
c
(a constant)
divide terms on numerator/denominator by the highest power of x, that is
x
2
f
(
x
)
=
4
x
x
2
x
2
x
2
−
1
x
2
=
4
x
1
−
1
x
2
as
x
→
±
∞
,
f
(
x
)
→
0
1
−
0
⇒
y
=
0
is the asymptote
Oblique asymptotes occur when the degree of the numerator > degree of the denominator. This is not the case here (numerator-degree 1 , denominator-degree 2) Hence there are no oblique asymptotes.
graph{(4x)/(x^2-1) [-10, 10, -5, 5]}
Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet.
A right triangle with side length 6 feet, s, and hypotenuse 13 feet.
[Not drawn to scale]
What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.
7.0 feet
8.5 feet
11.5 feet
14.3 feet
Answer: 11.5 feet
Step-by-step explanation:
We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:
Let the length of Fahims shadow be x
hypotenuse² = opposite² + adjacent ²
13² = 6² + x²
169 = 36 + x²
x² = 169 - 36
x² = 133
x =✓133
x = 11.53
= 11.5 feet to nearest tenth
Answer:
C 11.5
Step-by-step explanation:
Have a great day!
Lina has five more than seven times as many pictures as photo albums. If she has 75 pictures, how many photo albums does she have?
Answer:
photo albums = x
pictures =75( seven times of albums +5)
so
seven times of x is 7x and +5
7x +5 = 75
7x= 75-5
7x = 70
x=70÷7
x =10
x = 10 = photo albums
In the figures, area of triangle ABE is 25 cm2
and area of triangle CED is 30 cm2. Find the
area of triangle BEC and parallelogram ABCD.
Answer:
sorry where is figure.
Step-by-step explanation:
area of triangle ABE=area of triangle BE3
Write the an equation of a line that is perpendicular to y= 1/3x + 5 and intersects it at the y intercept
Answer:
y = -3x + 5
Step-by-step explanation:
For two lines to be perpendicular, the product of their slope must be -1.
Slope of the given line M = 1/3
Slope of the required line is m
If product is -1, then;
Mm = -1
1/3 m = -1
m = -3
SInce it intersects at the y intercept, y intercept c = 5
Get the required equation. Substitute m = -3 and c = 5 into the equation
y = mx+c
y = -3x + 5
Hence the required equation of the line is y = -3x + 5
under the scale factor of the dilation (with center at the origin )if point U (6,2) becomes U' (12,4) ?
Answer:
im assuming that it it went up 6,2 and prolly has a pattern and that this is just a graph problem
Step-by-step explanation:
Answer:
umm i dont knowe sorry
Step-by-step explanation:
Ben and Carson went to the movies with friends. Ben purchased 3 popcorn and 2 boxes of candy for $41. Carson purchased 1 popcorn and 2 boxes of candy for $29. How much did the popcorn cost?
Answer:
$6
Step-by-step explanation:
B- 3P+2C=$41
C-1P+2C=$29
since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought
12/2=6
since you need to find the price of 1 popcorn you have to divide 12 by 2
I'll show a pic of my question
Answer:
Umm I think you forgot to send the pic with this question
Step-by-step explanation:
Hope I can help next time!!!!!!
PLS HELPP I NEED TO TURN IN IN 10 MINUTES
Answer: side CD = CY
Step-by-step explanation:
They are asking for ASA = Angle, Side, Angle. And they already gave you the two angles so they are asking for the side
Find the product of the monomial and the polynomial:
−3a·(7a^2−4)
Answer:
[tex]-21a^{3}+12a[/tex]
Step-by-step explanation:
We are given that
[tex]-3a\cdot (7a^2-4)[/tex]
We have to find the product .
To find the product we will multiply -3a with each term given in the bracket
[tex]-3a(7a^2)-3a(-4)[/tex]
[tex]-21a^{1+2}+12a[/tex]
By using the formula
[tex]a^{x}\cdot a^{y}=a^{x+y}[/tex]
[tex]-21a^{3}+12a[/tex]
Hence,
[tex]-3a\cdot (7a^2-4)=-21a^{3}+12a[/tex]
The track team is trying to reduce their time for a relay race. First they reduce their time by 1.2 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.60 minutes, what was their beginning time?
Answer:
5.2 Minutes, or 5 minutes and 12 seconds
Step-by-step explanation:
You can solve this problem by working backward. Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already. When we do this, we get 4.0. When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.
a^n+a^n+1
Factor completely
Whoever gets right answer get brainliest
Answer:
a^n+a^n+1
2a^n+1
1(2a^n+1)
can someone help me out with this problem ?
The trapezoids are similar. In the figure below ABCD ~ EFGH. What is the value of x?
Answer:
abcd
Step-by-step explanation:
witch is longer distsance 20% of 320 miles of 1/2of 130 you must show your working out
Answer: [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]
Step-by-step explanation:
[tex]20\%\ \text{of}\ 320\ \text{is}\\\Rightarrow \frac{20}{100}\times 320=64\ \text{miles}[/tex]
[tex]\frac{1}{2}\ \text{of}\ 130\ \text{is} \\\Rightarrow \dfrac{130}{2}=65\ \text{miles}[/tex]
clearly, [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]
Help plz :)) I would appreciate it
Answer:
VW = 29
Step-by-step explanation:
Perimeter of the triangle = 82
Perimeter of the triangle = 4x + (x + 3) + (3x - 1)
4x + (x + 3) + (3x - 1) = 82
4x + x + 3 + 3x - 1 = 82
8x + 2 = 82
8x = 82 - 2
8x = 80
x = 10
VW = 3x - 1
VW = 3(10) - 1
VW = 30 - 1
VW = 29
Drag and Drop the right answer in the answers below.
CAT ~ DOG
Answer:
Do ,Ct, OG hope it helps have a nice day
Help please and please make sure the answer is right please!!!!
Answer:
7
Step-by-step explanation:
Angela starts a blog about wheelchair basketball. In the first 4 days,
the blog gets 22 new subscribers. At this rate, how many new
subscribers can Angela expect in 30 days? Show your work.
gym starts at 1:00 and ends at 2:00 how long is gym?
Answer:
1 hour or 60 minutes
4x + y = 14. 5x +2y = 19 solve the simultaneous equation
Answer:
(3, 2 )
Step-by-step explanation:
Given the 2 equations
4x + y = 14 → (1)
5x + 2y = 19 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 8x - 2y = - 28 → (3)
Add (2) and (3) term by term to eliminate y
- 3x + 0 = - 9
- 3x = - 9 ( divide both sides by - 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
4(3) + y = 14
12 + y = 14 ( subtract 12 from both sides )
y = 2
solution is (3, 2 )
Step-by-step explanation:
[tex] \underline{ \underline{ \text{USING \: ELIMINATION \: METHOD}}}[/tex]
[tex] \underline{ \underline{ \text{ Solution}}} : [/tex]
[tex] \text{4x + y = 14 - - - - - (i)}[/tex][tex] \text{5x + 2y = 19 \: - - - - - (ii)}[/tex]Multiply equation ( i ) by 2 & Subtract from ( ii ). The equation ( i ) now becomes 8x +2y = 28 { 2 ( 4x + y ) = 2 × 14 }. Remember that while subtracting the sign of each term of equation ( i ) changes and now , it becomes -8x-2y = -28.
[tex] \text{5x + 2y = 19}[/tex]
[tex] \text{ - 8x - 2y = - 28}[/tex]
_____________________
[tex] \text{ - 3x = - 9}[/tex]
Solve for x :
⤑ [tex] \tt{x = \frac{ - 9}{ - 3}} [/tex]
⤑ [tex] \tt{x = 3}[/tex]
Now , substitute the value of x in equation ( ii ) :
⟼ [tex] \text{5 × \: 3 + 2y = 19}[/tex]
⟼ [tex] \text{15 + 2y = 19} [/tex]
⟼ [tex] \text{2y = 19 - 15}[/tex]
⟼ [tex] \text{2y = 4}[/tex]
⟼ [tex] \text{y = 2}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{⤿ \: Our \: final \: answer : \boxed{ \boxed{ \tt{x = 3 \: and \: y = 4}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day night ! ♡
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I need heeeelp please !
Please help!
What is the intial value of the function represented by this graph?
A. 0
B. 1
C. 2
D. 5
This graph shows the amount of charge left on my computer, c, after I have been awake for h hours.
How many hours will I have been awake when my computer has no charge left?
Use the sketch tool if it helps you with your thinking.
Based on the graph given above, the hours you will have to be awake when your computer has 0% charge is: 4.5 hours.
How to Interpret a Graph?Analyzing the graph given in the image above, where c represents the amount of charge you have left on your computer, and h represents the number of hours after you have been awake, the graph shows the following:
The unit rate = -30, which means the charge on your computer dropped at 30% per hour.The initial charge on your computer was the y-intercept of the graph, which is 90%.Your computer will have 0% after 4.5 hours that you have been awake (this is the x-intercept of the graph).Therefore, the number of hours you will have been awake for your computer to have no charge left is: 4.5 hours.
Learn more about graph on:
https://brainly.com/question/25184007
#SPJ1
Hey guys please help!!
Answer:
Yes
Step-by-step explanation:
g(x) = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex]
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex] ....... (1)
(1) × 4
4y = - x + 1
x = - 4y + 1
y = - 4x + 1
f(x) = - 4x + 1
∴ f(x) and g(x) are inverses