The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s
Since y = f(x) = 0.9sin(πx/2)
We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m
So, y = f(x) = 0.9sin(πx/2)
0.5 = 0.9sin(πx/2)
Dividing through by 0.9, we have
0.5/0.9 = sin(πx/2)
5/9 = sin(πx/2)
Taking inverse sine of both sides, we have
sin⁻¹(5/9) = πx/2
sin⁻¹(0.5556) = πx/2
0.589 rad = πx/2
x = 2 × 0.589/π
x = 1.178/π
x = 0.375 s
Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...
So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s
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Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y)
Place the correct coefficients in the difference.
x2y3 +
xy2 +
y
Answer:
final answer: 58xy
Step-by-step explanation:
24xy + 4xy - 2y + 42xy - 12xy + 2y
(24xy + 4xy + 42xy - 2xy) + ( - 2y + 2y)
(24 + 4 + 42 - 12)x xy + ( - 2 + 2)xy
58xy + ( - 2 + 2)xy
58xy + 0y
58xy
Answer:
1st one is 11
2nd one is -4
3rd one is 0
Step-by-step explanation:
no need
you can trust me :)
Factor 28z–32. what is the factor??????
Answer:
4(7z - 8)
Step-by-step explanation:
28 and 32 are both divisible by 4.
1
message
Two friends went bowling. One friend scored 130 points and the other friend scored 83 points. How does the value represented by the 3 in 130 compare to the value represented by the 3 in 83?
It is 3 times greater
It is 10 times greater
It is 47 times greater
It is 50 times greater
Answer:
10x greater
Step-by-step explanation:
Two friends let’s say their names are
Molly Polly
130 points 83 points
Molly‘s 3 in her 130 is is the tens place
here a chart: ones Tens. Hundreds. thousands.
1265 1265. 1265. 1265
now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater
hope this helped :3
:3 byeeeeeeeeee
If one-third of a number is 24 less than the thrice of the number, find the number.
Answer:
9
Step-by-step explanation:
Let the number be 'x'
One third of a number : (1/3) *x
Thrice the number = 3x
[tex]3x -24=\dfrac{1}{3}x\\\\3x - \dfrac{1}{3}x = 24\\\\\\[/tex]
Multiply the entire equation by 3
9x - x = 72
8x = 72
Divide both sides by 8
x = 72/8
x = 9
Phil is riding his bike. He rides 58 miles in 4 hours, 72.5 miles in 5 hours, and 87 miles in 6 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =
Answer:
58 divided by 4 = 14. 5 mph
72.5 Divided by 4 = 14.5 mph
87 divided by 6 = 14.5 mph
k = 14.5 mph
Y= Kx = 14.5X
answer is 14.5 and 14.5X
Step-by-step explanation:
(2^4x+4)÷(2^x+1)
60 POINTS
BRANLIEST IF RIGHT
Answer:
[tex]\frac{2^4^x + 4}{2^x + 1}[/tex]
The file includes the input of your equation, comment if the equation you input is a mistake.
Answer:
2 ^ 3(x+1)
Step-by-step explanation:
Assuming 2^(4x+4) / 2 ^(x+1)
when bases are equal and exponents are in division it becomes subtraction
=> 2 ^ (4x + 4 - (x + 1) )
=> 2 ^ (4x + 4 -x - 1)
=> 2 ^ (3x + 3)
=> 2 ^ 3(x+1)
=> [tex]2^{3(x+1)}[/tex]
52x+3 =
3x+2+4x-3-5x-1=
x-5x+4=
Answer:
x= -3/52
x= 2
x= -1
Step-by-step explanation:
number 1
52x+3=0
52x=-3
x=-3/52
number 2
2x+2+4x-3-5x-1=0
x-2=0
x=2
number 3
x-5x+4=0
4x+4=0
4x=-4
x=-1
can someone help me solve this question? -6 - (-10) + (-2)
Answer:
2
Step-by-step explanation:
note - (- ) = + and + (- ) = -
- 6 - (- 10) + (- 2)
= - 6 + 10 - 2
= 4 - 2
= 2
Answer:
2
Explanation:
- 6 + 10+ (- 2)
= 4+(-2)
=2
50% of 25% is the number. What is the number?
Answer:
1/8
Step-by-step explanation:
50/100 * 25/100
1/2 * 1/4 = 1/8
Help me I don’t understand please explain the answer to me
Answer:
a
Step-by-step explanation:
r and t are same- side exterior angles and sum to 180 , so
t + r = 180 , that is
t + 91 = 180 ( subtract 91 from both sides )
t = 89
t and u are vertically opposite angles and are congruent , so
u = t = 91
Then
t + u = 89 + 89 = 178 → a
A HORIZONTAL line passes through point (-3, -1). Find the equation of this line. A) x = 1 B) x = 3 C) y = -1 D) y = 1
Answer: C) y = -1
Step-by-step explanation:
A horizontal line is represented by y = a constant. As such, the line must be y = -1, because the given point is (-3, -1), which has a y-coordinate of -1.
Answer:
D y=-1
Step-by-step explanation:
In horizontal lines, the equation is y=b. B is the location of the y-axis where the line crosses through it. Hope this helps :)
Given: 3x < -6.
Choose the solution set.
{x | x > -2}
{x | x < -2}
{x | x > 2}
{x | x < 2}
Answer:
First divide 3 on both sides to get x by itself, now you have x < -2.
Step-by-step explanation:
Hope this helps :)
Which point is in the graphed solution set of this system of inequalities?
4x-3y<12
6x+3y>5
A. (2,2) B. (0,-6) C. (2,-1) D. (-2,0)
Answer:
01110100 01101000 01100101 00100000 01101101 01100001 01110100 01110010 01101001 01111000
Step-by-step explanation:
What time does the clock show?
12
11
1
2
: 10
9
3
8
4
7
5
6
.
Answer:
it would have to be 5:30 if not then 5:00 but i really think it is 5:30
Step-by-step explanation:
it has the small hand behind the 6 and the big hand at 6 so the would be 30 minutes so for that reason i say 5:30
Please help me!!! It would really help
Answer:
D'(25, 0)
Step-by-step explanation:
Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.
(x, y) ⇒ (5x, 5y)
D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)
Biểu thức sin²x + cos²x có giá trị bằng ?
we have sin²x + cos²x = 1
ok done. Thank to me :>
What are the values of m and n
Answer:
m = 20°, n = 45°Step-by-step explanation:
Both of the triangles are isosceles as marked on the diagram.
The right triangle has missing angles of:
n = 90°/2 = 45°The missing angles of the bigger triangle:
m + n = 1/2(180° - 50°)m + 45° = 65°m = 20°can anyone help me out with this?
Given :
Evaluate the equation.
2x – 4(x – 2y) + 6y = ?When x = 5 and y = 2 then,
2x – 4(x – 2y) + 6y
= 2(5) – 4[(5) – 2(2)] + 6(2)
= 10 – 4(5 – 4) + 12
= 10 – 4*1 + 12
= 10 – 4 + 12
= 22 – 4
= 18
A media organization is interested in reporting election results in a congressional election prior to the final tally of votes which will not occur until later in the evening. The organization randomly selects several polling places across the district asking voters whom they voted for. The type of poll being used in this scenario is known as an exit poll Answer A: an exit poll A a benchmark poll Answer B: a benchmark poll B an opinion poll Answer C: an opinion poll C a tracking poll
The name which is given to this type of poll which is being described in this scenario is known as:
A. An exit pollAccording to the given question, we are asked to state the name which is given to this type of poll which is being described in this scenario where a media organisation asks people who they voted for.
As a result of this, we can see that the type of poll which was used in this described scenario above is known as an exit poll because it is used to get the poll of the voters just after they have left the polling stations.
Therefore, the correct answer is option A
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PLZ HELP ASAP I GIVE BRAINLIEST AND POINTS PLZ DONT POST LINKS
LOOK AT THE PICTURE
Answer:
look at the picture..................
[tex]\\ \rm\leadsto (aa^2a^3)/(a\div a^2)^{-1}[/tex]
[tex]\\ \rm\leadsto \dfrac{a^{1+2+3}}{(a^{-1})^{-1}}[/tex]
[tex]\\ \rm\leadsto \dfrac{a^6}{a}[/tex]
[tex]\\ \rm\leadsto a^5[/tex]
Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)
The result of the log function [tex]log_a (m * n ^ 2)[/tex] is 60
According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]
Given the following expressions
[tex]log_am=10\\log_an=25[/tex]
This can be expressed as
[tex]m =a^{10} \ and \ n = a^{25}[/tex]
Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:
[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]
This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex] is 60
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any smart people that know math know whats going on
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
What other information do you need in order to prove the triangles congruent using the SAS Postulate?
Answer:
AC is perpendicular to BD.
Further explanation
We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that is reflexive.
The length of the base of the triangle is the same, i.e., .
In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.
Conclusions for the SAS Congruent Postulate from this problem:
∠ACB = ∠ACD
- - - - - - - - - -
The following is not other or additional information along with the reasons.
∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and
∠BAC = ∠DAC no, because that is ASA with and ∠ACB = ∠ACD.
no, because already marked.
- - - - - - - - - -
Notes
The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.
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Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
Step-by-step explanation:
Please explain step-by-step! Thanks!
Random answers will be reported
Step-by-step explanation:
what is your questions?????Which is NOT a function?
A. y = x + 3^2
B. x + y = 3^2
C. x + 3 = y^2
D. y = x^2 - 3
Answer:
All are functions
Step-by-step explanation:
A. y = x + 9 A graph of a line. There are no x-values that are the same on the graph. The graph passes the vertical line test.
B. x + y = 9
y = -x + 9 A graph of a line. There are no x values that are the same number on the graph. The graph passes the vertical line test
C. x + 3 = y²
[tex]\sqrt{x + 3} = y[/tex] The graph passes the vertical line test. On the graph, there are no x-values that are the same number.
D. y = x² - 3 The graph is a parabola. The graph passes the vertical line test (there are no x- values are the same number on the graph).
Alg 2-7_2 BR Trigonometry
To approach the runway, a pilot of a small plane must begin a 5° descent starting from a height of 1732 ff above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach( how far does the airplane have to fly)?
0 3.7 mi
0 3.8 mi
0 0.3 mi
0 19,872.5 mi
==============================================================
Explanation:
Check out the diagram below.
Those pair of 5 degree angles shown are congruent alternate interior angles. We'll use the sine rule to find the hypotenuse x (which is some measurement in feet).
sin(angle) = opposite/hypotenuse
sin(5) = 1732/x
x*sin(5) = 1732
x = 1732/sin(5)
x = 19,872.4713415001 approximately
x = 19,872.5
It's tempting to say that choice D is the final answer. However, the result we just got is in feet, not in miles. To convert from feet to miles, we divide by 5280.
19,872.5 ft = (19,872.5)/5280 = 3.7637 miles
That then rounds to the final answer of 3.8 miles (choice B).
------------
Alternatively, you can convert 1732 ft to miles to get roughly 1732/5280 = 0.328 miles. Then you should solve this equation for x
sin(5) = 0.328/x
it should lead you to x = 3.8 miles
A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?
Answer:
y - 6 = 1/4(x - 4).
Step-by-step explanation:
The slope m = (7-6)/(8-4) = 1/4
y - y1 = m(x - x1)
Using the point (4, 6)
y - 6 = 1/4(x - 4) (answer)
The equation of line passes through the points (4, 6) and (8, 7) will be;
⇒ y = 1/4x + 5
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (4, 6) and (8, 7).
Now,
Since, The equation of line passes through the points (4, 6) and (8, 7) .
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (7 - 6) / (8 - 4)
m = 1 / 4
m = 1/4
Thus, The equation of line with slope 1/4 is,
⇒ y - 6 = 1/4 (x - 4)
⇒ 4 (y - 6) = x - 4
⇒ 4y - 24 = x - 4
⇒ 4y = x - 4 + 24
⇒ 4y = x + 20
⇒ y = 1/4x + 5
Therefore, The equation of line passes through the points (4, 6) and
(8, 7) will be;
⇒ y = 1/4x + 5
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what is the value of x?
Answer:
x=80
Step-by-step explanation:
70 + 30+x =180 (sum of angles in a triangle =180)
x=80
Please help me with this I don't get it
please help
Jay buys a certain brand of cereal that costs $15 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand, y = 10x Part A: How many more dollars is the price of a box of Jay's original brand of cereal than the price of a box of the super-saving brand? Show your work. (5 points) Part B: How much money does Jay save each month with the change in cereal brand if he buys 8 cereal boxes each month? Show your work. (5 points)
A.
Jay's original brand is $5 more than the price of a box of the super-saving brand.
Since Jay's original brand costs $15 per box and the price of Luke's super-saving brand is y = 10x where x = number of boxes. For one box, x = 1.
So, y = 10x
y = 10 × 1
y = $10
So, Jay's brand costs $15 per box and Luke brand cost $10 per box.
So, the difference in price is per box is $15 - 10$ = $5
So, Jay's original brand is $5 more than the price of a box of the super-saving brand.
B.
Jay saves $40 per month with the change in cereal brand if he buys 8 cereal boxes each month
Since the difference in price for each box bought is $5. Jay saves $5 for every super-saving cereal brand he buys.
So, if he buys 8 cereal boxes per month, he saves $5 per box × 8 boxes per month = $40 per month.
So, Jay saves $40 per month with the change in cereal brand if he buys 8 cereal boxes each month
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What is the measure of
Answer:
45 degrees
Step-by-step explanation:
90+45+45=180 degrees
:))
Answer:
[tex]m\angle A=45\textdegree[/tex]
Step-by-step explanation:
All triangles have a sum of 180°. The problem shows us that two of the angles are 90° and 45°. Therefore, the last angle is 45°.
[tex]m\angle A+45+90=180\\m\angle A+135=180\\m\angle A=45[/tex]