Answer:
Step-by-step explanation:
Half
50 percent.
1 divided by 2?
Re-write the quadratic function below in Standard Form
y=−7(x+1)^2+5
Answer:
y=-7x^2-14x-2
Step-by-step explanation:
Hope this helpz
wich is the correct?
Answer:
c
Step-by-step explanation:
In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The longest and the shortes days of the year vary by 2 hours 53 minutes from the equinox. In this year the equinox falls on March 21. In this task you'll use a trigonamic function to model the hours of daylight hours on certain days of the year in New York City
Question:
In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The longest and the shortest days of the year vary by 2 hours 53 minutes from the equinox. In this year, the equinox falls on March 21. In this task, you'll use a trigonometric function to model the hours of daylight hours on certain days of the year in New York City.
- Find amplitude and the period of the function
- Create a trigonometric function that describes the hours of sunlight for each day of the year
- Then use the function you built to find how fewer daylight hours February 10 will have then March 21
Answer:
(a)
[tex]A = 2.883[/tex] --- Amplitude
[tex]T = 365[/tex] ---- Period
(b) Trigonometry function
[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]
(c) [tex]Hours= 1.794[/tex]
Step-by-step explanation:
Given
[tex]Average\ Sunlight = 12hr\ 8 min[/tex]
[tex]Variance = 2hr\ 53min[/tex]
Solving (a): Amplitude (P) and Period (T)
The amplitude is the amount of time the longest and the shortest day vary.
So
[tex]A = 2\ hr\ 53\ min[/tex]
Convert to hours
[tex]A = 2\ + \frac{53}{60}[/tex]
[tex]A = 2+0.883[/tex]
[tex]A = 2.883[/tex]
The period (T) is the duration i.e 1 year
[tex]T = 1\ year[/tex]
Assume no leap year
[tex]T = 365[/tex]
Solving (b): Trigonometry function
The function follows a sinusoidal pattern and the general form is:
[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]
Where
[tex]\mu = Average\ Value[/tex]
[tex]\mu = 12\ hr 8\ min[/tex]
Convert to hours
[tex]\mu = 12 + \frac{8}{60}[/tex]
[tex]\mu = 12 + 0.133[/tex]
[tex]\mu = 12.133[/tex]
[tex]A = 2.883[/tex] --- Amplitude
[tex]T = 365[/tex] ---- Period
[tex]n = Equinox[/tex]
[tex]n = March\ 21[/tex]
[tex]March\ 21st = 80th\ day[/tex]
So:
[tex]n= 80[/tex]
The function becomes:
[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]
[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]
Solving (c): Fewer daylight hours will Feb. 10 have.
[tex]Feb\ 10 = 41st\ day[/tex]
So:
[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]
[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[41 - 80])[/tex]
[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[-39])[/tex]
[tex]2\pi = 360^\circ[/tex]
So:
[tex]f(41) = 12.133 + 2.883sin(\frac{360}{365}[-39])[/tex]
[tex]f(41) = 12.133 + 2.883sin(-38.466)[/tex]
[tex]f(41) = 12.133 - 2.883*0.6221[/tex]
[tex]f(41) = 10.339[/tex]
The fewer daylight hours is the calculated as:
[tex]Hours= Average - f(41)[/tex]
[tex]Hours= \mu - f(41)[/tex]
[tex]Hours= 12.133 - 10.339[/tex]
[tex]Hours= 1.794[/tex]
Which is greater
30% of 30 or 28% of 32 ?
You must show your working.
Answer:
30% of 30 = 9
28% of 32 = 8.96
Step-by-step explanation:
0.30 x 30 = 9
0.28 x 32 = 8.96
Answer:
30% of 30 > 28% of 32
Step-by-step explanation:
30% of 30:
0.3 x 30 = 9
28% of 32:
0.28 x 32 = 8.96
9 > 8.96
Hi guys can you answer my math question 1 2 and 3
Answer:
1. a) 7
b) 8
c)7
d) 6
2. a) -2 < 4
b) -3 > -5
c) -1°C
3. 39.95
Step-by-step explanation:
Please help me Find x, y, and z
Answer:
X 90 z 90 y 90
Step-by-step explanation:
simplify 32q2r2/4q3r
Answer: 16q5r2
Step-by-step explanation:
A number n divided by 12 is 10.
or n +
Step-by-step explanation:
10.....................
Answer:
n = 120
Step-by-step explanation:
A circular plate has circumference 32 inches. What is the area of this plate? Use 3.14 for pi. The area of this plate is about nothing square inches.
Answer: The area of the plate is 81.67 in^2
Step-by-step explanation:
If we have a circle of radius R, the area of this circle can be computed as:
A = pi*R^2
where pi = 3.14
And the circumference is:
C = 2*pi*R
and we know that this is equal to 32 in, then:
32in = 2*pi*R
Now we can isolate R, and we get:
32in/(2*pi) = R
32in/(2*3.14) = R = 5.1 in
Then the area of the plate is:
A = 3.14*(5.1in)^2 = 81.67 in^2
Always true, sometimes true, never true.
1) the centroid of a triangle is a point where the medians intersect.
2) a line of reflection is also a line of symmetry
3) a figure with rational symmetry can be rotated x degrees about a one of its vertices and the resulting image lines up perfectly with the original image.
4) the centroid of a triangle is located inside the triangle
5) all points on the angle bisector of
6) if there exists a transformation that takes triangle QRS to triangle XYZ then the triangles are congruent
7) the inscribed circle of a triangle intersects all three of the triangles vertices.
_______________________
TRUE OR FALSE:
8) the base is the length of the altitude
9) a median of a triangle cuts the original triangle into two smaller triangles, each of whose area is half of the original triangle
10) the circumscribed circle lies inside the triangle and touches each of the sides
11) the incenter of a triangle is a point where the angle bisectors intersect
I really need help on these ASAP, thank you!!
Answer: the answers for numbers 1,2 and 4 are all true :)
1: True
2: True
4: True
20 POINTS!!!!!! HELP PLEASE!!!!!!!
Answer:
umm???????????? let me try doin it
What percent of 15y is 75?
Answer:
20%
Step-by-step explanation:
because 15/75×100 =1/5×100=20%
Answer:
Step-by-step explanation:
x% of 15y = 75
x% =75/(15y) = 5/y
x = 500/y
Find the missing angle of the parallelogram.
V
52°
?
60
Answer:
3120
Step-by-step explanation:
52x60=3120
Answer:68
Step-by-step explanation:
Do 52 plus 60 then subtract it by 180 and you get 68
The price of a holiday was decreased by 12 percent to 600 . What was the price before the decrease?
Price before decrease = x
If price before decrease is 100, then price after decrease = 100- 12 = 88
100:88 = x:600
100/88=x/600
100/88 ×600 = x
681.82 =x
Price before decrease =681.82
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 10% are pennies and 36% are dimes. There are 4 more nickels than pennies. How much money does the bag contain?
solved in fully simplified slope intercept form
Answer:
-1/2
Step-by-step explanation:
Answer:
y = -1/2x + 1
Step-by-step explanation:
(0,1) and (2,0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-1)/(2-0)
m=(-1)/2
m= -1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 1 = -1/2(x - 0)
y - 1 = -1/2x
y = -1/2x + 1
Find the volume of the figure I-ready
14 cm, 8 cm, 10 cm, 10 cm, 10 cm and 8 cm
123456789000009876543212345678908765435rtgbhnmkjhgvf bjlogvoufcggg 60
State the slope and y-intercept of the graph of y = 1/5x – 7.
Answer:
The slope is 1/5 and the y-intercept is -7
Step-by-step explanation:
In point-slope form (y = mx + b), m is the slope and b is the y-intercept.
PLS HELP IF U KNOWWWWWWWWWWWWWWWWWWWWWW
Answer:
you would put a full dot on 7 and make an arrow going to the left
Step-by-step explanation:
Answer:
A solid dot over the 8 with the arrow going to the left
Step-by-step explanation:
56/8=7
1) Mike invests $2,316 in a retirement
account with a fixed annual interest rate of
3% compounded continuously. What will
the account balance be after 17 years?
Answer:
$3828 approx
Step-by-step explanation:
Given data
Principal=$2316
Rate= 3%
Time= 17 years
The compound interest formula is
A=P(1+r)^t
substitute
A=2316(1+0.03)^17
A=2316(1.03)^17
A=2316*1.652847
A=$3827.99
Hence the account balance after 17 years is $3828 approx
PLEASE HELPPPPP
The revenue made by a car
company from the sale of y cars is given by 0.003y! +
10y. The cost to produce y cars is given by the polynomial 20y + 1,000,000. Write
a polynomial expression for the profit from making and selling y cars. Find the
profit the company will make if it sells 30,000 cars.
Answer:
Part A
The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars is 1,670,000
Step-by-step explanation:
Part A
Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y
The cost to produce 'y' cars, C = 20·y + 1,000,00
The profit, 'P', from making and selling 'y' cars is given as follows;
P = R - C
∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00
An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;
0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars, (y = 30,000) is given as follows;
= 0.003·y² - 10·y - 1,000,000
[tex]P_{y = 30,000}[/tex] = 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000
The profit made from selling 30,000 cars = 1,670,000.
i need help with this
Answer:
the second one
Step-by-step explanation:
When subtracting a negative, the negative turns to a positive, so in this case, -14- -8 would be the same as -14 + 8
Ben has 43 coins belonging to dimes or quarters. If he has
$8.80, how many dimes does he have?
dimes
Answer:
7 dollars and 50 cents of quarters. That right there equals 30 coins
He has a dollar and thirty cents in dimes and that equals 13 coins
Together that is $8.80. with 43 coins.
Step-by-step explanation:
Which of the following is a solution to the equation x^3=1/49? x=7^−2/3 x = 7^-3/2 X=7 2/3 This equation has no solution x=7 3/2
Step-by-step explanation:
x³=1/49
x= third root of 1/third root of 49
x=1/square root of 7
Write the percent as a fraction or mixed number in the simplest form.
88% =
Answer:
Step-by-step explanation:
22/25
A highway is going to be built around a city. The highway will be in the shape of a perfect circle, and its total length will be 251.2 kilometers. A nearby bus stop will have a billboard with a map of the bus routes along the highway. The map is drawn to a scale of 1:7,500. Calculate the area that is surrounded by the highway on the billboard map. Round the answer to the nearest hundredth of a square meter.
Answer:
The area that is surrounded by the highway on the billboard is approximately 89.34 square meters
Step-by-step explanation:
The given parameters are;
The length of the circle shaped highway = 251.2 km
The scale of the map of the bus routes along the highway = 1:7,500
The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle
Therefore, we have;
The circumference of the highway = The length of the circle shaped highway = 251.2 km
The circumference of the highway, C = 251.2 km = 2·π·r
The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km
The area of a circle, A = π·r².
The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²
Given that the scale of the map = 1:7,500. we have;
The scale of the area = (1:7,500)² = (1:56,250,000)
The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²
Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²
help me solve please
Answer:
degree measure of arc AB = 120°
length of arc AB = 40π/3 in.
Step-by-step explanation:
arc AB has the same measure as its central angle. So, arc AB = 120°
120 is 1/3 of 360, Therefore, the length of arc AB is 1/3 of the circumference.
Therefore, the
length of arc AB = 1/3πd = 1/3π(40) =
= 40π/3 in.
A circle and a regular pentagon can intersect in
A. 5 triangles
B. A circle
C. A square
D. 5 points
Answer:
I think it is option D,
hope it helps
Which of the following inequalities represent the number line below?
I NEED HELPPPPPPPPPPPPP
i need help this is dude tomorrow
Answer:
B. y=-x+2
Step-by-step explanation: If you plot each equations on desmos graphing calculator you can look for those points and see if is on there.