Answer:The first questiono answer is a or the first answer
The second question is c or the 3rd answer
Step-by-step explanation:
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
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.
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.
Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function f(x)=-3(x-4)(x-6)
The maximum value of the quadratic function f(x)=-3(x-4)(x-6) is -72.
Given data:
To determine whether the quadratic function f(x) = -3(x-4)(x-6) has a minimum or maximum, analyze the leading coefficient, which is -3.
Since the leading coefficient is negative (-3), the quadratic function opens downward, indicating that it has a maximum point.
To find the minimum or maximum value of the function, we can look at the vertex of the parabola. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function in the form [tex]ax^2 + bx + c[/tex].
In our case, the quadratic function is f(x) = -3(x-4)(x-6), so the coefficient of [tex]x^2[/tex] is -3, and there is no linear term (b = 0).
Using the formula x = -b / (2a):
x = -0 / (2*(-3))
x = 0
Substituting this x-coordinate back into the quadratic function, find the corresponding y-coordinate (minimum or maximum value).
f(0) = -3(0-4)(0-6)
f(0) = -3(-4)(-6)
f(0) = -3(24)
f(0) = -72
Hence, the quadratic function f(x) = -3(x-4)(x-6) has a maximum value of -72.
To learn more about quadratic equations, refer:
https://brainly.com/question/25652857
#SPJ4
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
The width of a rectangle is "w" inches long. If the length is 4
inches more than the width, which represents the area of
the rectangle?( the ^ symbol means exponent)
A)2w^2+4w
B)w^2+4w
C)2w^2+4
D)w^2+4
Answer:
B
Step-by-step explanation:
Area of rectangle=length(l)×width(w)
In this case,length= w+4
so Area=(w+4)×w
Therefore Area=w^2+4w
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:
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
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
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
Please help me Find x, y, and z
Answer:
X 90 z 90 y 90
Step-by-step explanation:
What is the slope of OA?
Answer:
D) b/a
From the given figure, O = (0, 0) and A = (a, b)
Slope of OA = (y2 - y1) / (x2 - x1)
Here x1 = 0, y1 = 0, x2 = a and y2 = b.
Slope of OA = (b - 0)/(a - 0)
Slope of OA = b/a
Answer: D) b/a
Find the volume of the figure I-ready
14 cm, 8 cm, 10 cm, 10 cm, 10 cm and 8 cm
123456789000009876543212345678908765435rtgbhnmkjhgvf bjlogvoufcggg 60
4. Of 100 students surveyed, 32
like green beans, 40 like carrots,
20 like both green beans and
carrots, and 8 do not like green
beans or carrots. Based on
these results, how many of the
next 40 students surveyed would
expect to like carrots only?
Answer:
16 students
Step-by-step explanation:
40 kids like only carrots and 40% of a hundred is 40%, so out of the 40 students that will be surveyed only 40% will like only carrots. 40% of 40 is 16
Solve the following system:
5x - 2y=11
2x+2y=10
X=
Y=
Answer:
x = 3, y =2? 5×3 - 2×2
Step-by-step explanation:
im not sure
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?
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]
G
A number cube with the numbers 1 through 6 is rolled 29 times and shows the
number six 6 times. Calculate the experimental probability of the number cube
showing the number six.
P(6) =
Answer:
Step-by-step explanation:
Experimental probability is the number of specific outcomes divided by the total number of trials.
P(6)=6/29
20 POINTS!!!!!! HELP PLEASE!!!!!!!
Answer:
umm???????????? let me try doin it
The perimeter of an isosceles triangle is 53 meters. If the base of the triangle is seven less than two times the congruent sides' lengths, find the dimensions of the triangle. (I also need an equation and work that is shown how you got the answer.)
Which of the following inequalities represent the number line below?
I NEED HELPPPPPPPPPPPPP
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
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
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:
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
Marco has a balance of -$19 in his checking account. He deposits $368. The next day he buys a video game that costs $47 using his debit card. What is his new balance?
Answer:
[tex]New\ Balance = \$302[/tex]
Step-by-step explanation:
Given
[tex]Balance = -\$19[/tex]
[tex]Deposit = \$368[/tex]
[tex]Purchase = \$47[/tex]
Required
Determine the new balance
The new balance is calculated as:
[tex]New\ Balance = Balance + Deposit - Purchase[/tex]
Purchase is subtracted because it represents debit.
So, we have:
[tex]New\ Balance = -\$19 + \$368 - \$47[/tex]
[tex]New\ Balance = \$302[/tex]
Hence, the new balance is $302
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.
A number n divided by 12 is 10.
or n +
Step-by-step explanation:
10.....................
Answer:
n = 120
Step-by-step explanation:
Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and pays $9 per yoga class. Which inequality represents the number of classes, c, that Natalie can take and stay within her budget?
A. 146 ≤ 9c + 10
B. 146 ≥ 9c + 10
C. 146 ≤ 10c + 9
D. 146 ≥ 10c + 9
Help please many points
Answer:
The first thing we must do for this case is to define variables:
d = number of days
We then have the following inequality that represents the problem:
9d + 10 <= 146
Answer:
An inequality that represents the number of days, on which Natalie can take classes is:
9d + 10 <= 146
Step-by-step explanation:
Answer:
B. 146 ≥ 9c + 10
Write the percent as a fraction or mixed number in the simplest form.
88% =
Answer:
Step-by-step explanation:
22/25