Answer:
[tex]y = -\frac{3}{4} sin(\frac{2}{3}x)[/tex]
Step-by-step explanation:
First determine whether it is a sine function or a cosine function. Since
sin(x) = 0 at x = 0 and we see indeed that the value of the function is 0 at x = 0 it must be a sine function
The general equation of a sine function is [tex]a sinbx[/tex]
where a is the amplitude. The amplitude is one-half the difference between the lowest and highest values in the graph.From the graph we can see that the highest value is 3/4 and lowest is -3/4 so the amplitude = 1/2 (3/4 + 3/4) = 3/4
If the amplitude were positive, the function would be increasing at (0,0) and going up to its amplitude value. However we can see that the function is decreasing at (0,0 ) and goes down to -3/4. Therefore the amplitude a has a negative sign so a = -3/4
To compute b, note that the period of the function ie where it finishes a full cycle is 3π since the function at that x value repeats itself. The relationship between b and the period is 2π/b = 3π in this particular case
This gives b = 2/3
So a = -3/4, b = 2/3 and the equation is [tex]y = -\frac{3}{4} sin(\frac{2}{3}x)[/tex]
Write 460,000,000 as a power of ten.
Answer:
460 million = 4.6 x 10^8
Step-by-step explanation:
Lusia wants to buy sulu. If she buys 7 meters,She is 1 dollar short. If she buys 5 meters, 5 dollar is left over . How much does she have ?
Answer:
$20
Step-by-step explanation:
let 1 meter of sulu = s, lusia has m dollar
7s = m + 1 => m = 7s - 1
5s = m - 5
5s = 7s - 1 - 5
2s = 6
s = 3
m = 7s - 1 = 21 - 1 = 20
Which expression equals -1?
Answer:
Option D. is correct.
Step-by-step explanation:
[tex]\cot ^{\left(2\right)}\left(73^{\circ \:}\right)-\csc ^{\left(2\right)}\left(73^{\circ \:}\right)\\[/tex]
[tex]\csc \left(73^{\circ \:}\right)=\frac{1}{\sin \left(73^{\circ \:}\right)}[/tex]
[tex]=\cot ^2\left(73^{\circ \:}\right)-\left(\frac{1}{\sin \left(73^{\circ \:}\right)}\right)^2[/tex]
[tex]\left(\frac{1}{\sin \left(73^{\circ \:}\right)}\right)^2 = \left\frac{1}{\sin^2 \left(73^{\circ \:}\right)}\right[/tex]
[tex]=\cot ^2\left(73^{\circ \:}\right)-\frac{1}{\sin ^2\left(73^{\circ \:}\right)}[/tex]
Which is the same as...
[tex]-1[/tex]
Find the derivative of f(x) = 7x + 9 at x = 6. (6 points)
Helppppppppp I’m struggling
Answer:
ok what must you do
Step-by-step explanation:
AYUDA LA NECESITO RAPIDO AHHHH
Answer:
y=7(3)= 21
y=7(8)= 56
y=7(10)= 70
Step-by-step explanation:
Answer:
X Y
3 21
8 56
10 70
Step-by-step explanation:
Find Y by plugging in each X value to the given function.
Encuentre Y reemplazando cada valor de X en la función dada.
When x = 3 : y = 7 * 3 = 21
Cuando x = 3 : y = 7 * 3 = 21
When x = 8 : y = 7 * 8 = 56
Cuando x = 8 : y = 7 * 8 = 56
When x = 10 : y = 7 * 10 = 70
Cuando x = 10 : y = 7 * 10 = 70
what is the answer for this question (5+×)²
[tex](5+x)^2\\\\=5^2 +2\cdot5\cdot x +x^2\\\\=25+10x +x^2 \\\\=x^2 +10x +25[/tex]
Is y=2^x linear, exponential or neither
A straight highway is 100 miles long and each mile is marked by a mile post numbered from 0-100. A rest area is going to be built along the highway exactly 6 miles away from a milepost 57. If m is the milepost number of the rest area which of the following equations represents the possible locations for the rest area
Answer:
maybe this will help, but the rest area will be at mile marker 51
o 0 If a triangle has angle measurements of 60 and 70°, what is the measure of the third angle? What kind of triangle is this? Acute, Right, or Obtuse? Explain how you solve this problem.
Answer:
→ 50°
→ Acute triangle
Step-by-step explanation:
the measure of the third angle = 180 - (60 + 70) = 180 - 130 = 50°
definitions=======================================
Acute angle : it’s an angle that measures less than 90°.
Acute triangle: it’s a triangle with three acute angles.
………………………………………………………………………………………………
The measures of the angles in our triangle are respectively 60° , 70° , 50°
Thus ,it’s an acute triangle .
help asap check picture
pls answer asap, thanks!!! (will mark brainliest)
Step-by-step explanation:
s = top speed
p = horsepower
s = 27.3 × p^(1/6)
the exponent 1/6 means the 6th root of p.
17.
s = 27.3 × 70^(1/6) = 27.3 × 2.030094899... =
= 55.42159075... knots
18.
50 = 27.3 × p^(1/6)
50⁶ = 27.3⁶ × p
p = 50⁶/27.3⁶ = (50/27.3)⁶ = (1.831501832...)⁶ =
= 37.74367151... horsepower
show 2/5 65 and 3/8 on the number line below
There are 10 players on the swim team. How many ways can the coach select 3 people to swim in the relay?
A. 1,080
B. 960
C. 720
D. 120
Answer:
C. 720
Step-by-step explanation:
10 - 3 is 8 so you multiply all the numbers from 10 through 8
10 * 9 * 8 = 720
That is the answer. Hope it helped!
Answer:
C: 720
Step-by-step explanation:
i got 100% on the quiz
Lin solved a quadratic equation by factoring and found one solution to be x = 3/4. Which of the following expressions could have been one of her factors?
Answer: 4x-3
Step-by-step explanation: When subsituted, the equation should equal 0
PLEASE HELP ME MI AMOR
Answer:
Well for 1 question it would be a 25% chance but since its two i would say its a 50% chance
Step-by-step explanation:
HELLPP 50 points!! its due soon!!!!!
SOLVE ALL THESE EQUATION BY USING THE METHOD SUBSTITUTION ALGEBRAICALLY HERE'S ARE ALL THE EQUATION:
1. -7x - y = - 1/ y = 8x= 16
2. 3x +4y =0/ y=-3x -18
3. y = 3x/ -5x -2y = - 11
4. -8x -7y =0/ y = 6x
8. 2x- 6y = -14/ y=-5x -19
Answer:
See below ~
Step-by-step explanation:
Question 1
-7x - y = -1y = 8x + 16⇒ -7x - (8x + 16) = -1
⇒ -7x - 8x - 16 = -1
⇒ -15x = 15
⇒ x = -1
⇒ y = 8(-1) + 16 = 8
⇒ Solution = (-1, 8)
Question 2
3x + 4y = 0y = -3x - 18⇒ 3x + 4(-3x - 18) = 0
⇒ 3x - 12x - 72 = 0
⇒ -9x = 72
⇒ x = -8
⇒ y = -3(-8) - 18 = 6
⇒ Solution = (-8, 6)
Question 3 (not clear)
Question 4
-8x - 7y = 0y = 6x⇒ -8x - 7(6x) = 0
⇒ -8x - 42x = 0
⇒ -50x = 0
⇒ x = 0
⇒ y = 6(0) = 0
⇒ Solution = (0, 0)
Question 8
2x - 6y = -14y = -5x - 19⇒ 2x - 6(-5x - 19) = -14
⇒ 2x + 30x + 114 = -14
⇒ 32x = -128
⇒ x = -4
⇒ y = -5(-4) - 19 = 1
⇒ Solution = (-4, 1)
Consider this system of equations.
p=2np=2np=2n
p−5=1.5np−5=1.5np−5=1.5n
What value of nnn makes the system of equations true?
The values of n and p which makes the system of equations true are 10 and 20 respectively.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have system of equation:
p=2n and
p−5=1.5n
Put p = 2n in the other equation.
2n - 5 = 1.5n
2n = 1.5n +5 (add 5 on both sides)
0.5n = 5 (subtract 1.5n on both sides)
n = 10 (divide by 0.5 on both sides)
Put n = 10 in the equation p = 2n
p = 2(10) = 20
Thus, the values of n and p which makes the system of equations true are 10 and 20 respectively.
Learn more about the linear equation here:
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What is the area of the shaded region?
Answer:
461.81
Step-by-step explanation:
your welcome
Twenty percent of the children live on a farm what is the fractional part of students who don’t
Answer:
80%
Step-by-step explanation:
If it's 20 out of 100 than it's 80 because
100 - 20 = 80
answer both and you get tons
Answer:
Read the explanation Hope it helps!
Step-by-step explanation:
PART 1
13.5% is 13.5
3.9*0.01=0.039
3 3/5=3.6
1.35
3.9
[tex]3.9*10^{-2} \\13.5%\\[/tex]
1.35
[tex]3 \frac{3}{5}[/tex]
3.9
PART 2
The least value would be 6.25*10^-3
Given →u = (-7, 1/2) and →w = (2, 3/4), Find 2u→ +4w→
A. (-6, 1 1/2)
B. (-24, 3 1/2)
C. (-5, 1 1/4
D. (-6, 4)
An opened a sevings account with $300 and was paid simple interest at an annual rate of 5%. When Ann closed the account, she
was paid 75 in interest. How long was the account open for, in years?
Answer:
it would have took 15 years
what is 7 + (-5) + (-3)
Answer:
-1
Step-by-step explanation:
7+(-5)+(-3)
7-5-3
7-8
=-1
Answer:
the answer is -1
Step-by-step explanation:
simple:
7+(-5)
= +2 ( seven has the higher absolute value, so we go with positive)
+2 + (-3)
= -1 (we go with the negative this time because -3 has the higher absolute value)
(answer is above)
What is the value of y rounded to the nearest 10th
Answer:
8/13
Step-by-step explanation:
I think am not sure...
Answer:
y ≈ 46.2
Step-by-step explanation:
using the law of sines , then
[tex]\frac{y}{sin85}[/tex] = [tex]\frac{31}{sin42}[/tex] ( cross- multiply )
y × sin42° = 31 × sin85° ( divide both sides by sin42° )
y = [tex]\frac{31sin85}{sin42}[/tex] ≈ 46.2 ( to the nearest tenth )
(1.50b+ 2.95m+ 1.55p)-0.20(1.50b + 2.95m + 1.55p)
Answer:
When you simplify the equation you have to combine like terms.
Here is what i got
If this was what your looking for i dont mind brainlest
A bag contains 6 white marbles and 4 black
marbles. A marble is drawn from the bag
and then a second marble is drawn without
replacing the first one.
What is the probability of drawing a white
marble on the first draw, followed by a black
marble on the second?
Answer:
4/15
Step-by-step explanation:
P(drawing white marble and black marble)
= 6/10 × 4/9 [9 as there is no replacement]
= 4/15
A family of four four spent $75 to go to the movie theater 10% of the total was spent on drinks they bought two tubs of popcorn for $6.75 each the rest of the money was spent on movie tickets what was the price per ticket
just use your in built calculator
A hotel builds an isosceles trapezoidal pool for children. it orders a tarp to cover the pool when not in use. what is the area of the tarp?
to find the height. first find that d is 60,45,or 120. this means the height of the trapezoid is approximately 2.5,4.3,or 3.5 feet. so the area of the tarp is approximately 47.3,30.0 or 38.5 square feet.
The area of the trapezoidal tarp in the hotel is 47.3 square inches
How to determine the area of the tarp?The area of a trapezoid is calculated using:
Area = 0.5 * (Sum of parallel sides) * Height
From the complete question, the parallel sides are:
10 ft and 12 ft
So, we have:
Area = 0.5 * (10 + 12) * h
Evaluate
Area = 11 * h
The height (h) is calculated using the following cosine function
cos(120 - 90) = h/5
This gives
cos(30) = h/5
Make h the subject
h = 5cos(30)
Evaluate
h = 4.3
So, we have:
Area = 11 * 4.3
Evaluate
Area = 47.3
Hence, the area of the trapezoid is 47.3 square inches
Read more about areas at:
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Answer: To find the height, first find that <D is 120.
This means the height of the trapezoid is approximately 4.3 feet.
So, the area of the tarp is approximately 47.3 square feet.
Step-by-step explanation: correct on edmentum/plato