Answer:
0.789 kg
Step-by-step explanation:
We know (by definition) that: 1g = 0.001kg
We can set up a proportion to solve for the number of kilograms.
1g789g = 0.001kgxkg
Now, we cross multiply to solve for our unknown x:
x kg = 789g1g * 0.001 kg → x kg = 0.789 kg
Conclusion: 789 g = 0.789 kg
wich is the correct?
Answer:
c
Step-by-step explanation:
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
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
name the coordinates of the points
Answer:
a -4, 2
b 4, 6
c 4, 2
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
Find the volume of the figure I-ready
14 cm, 8 cm, 10 cm, 10 cm, 10 cm and 8 cm
123456789000009876543212345678908765435rtgbhnmkjhgvf bjlogvoufcggg 60
74.08 In expanded form
Answer:
y = 74.08
Step-by-step explanation:
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 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
2(3x-5)+2y=12 find the slope intercept form
Answer: y=-3x+11
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]
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
Cameron surveys every tenth student who walks into school to determine the favorite type of movie of students in his school. what is the population,sample,random and representative.
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.
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 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:
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:
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
A triangular wall decoration on Kelsey's wall has vertices M4-1), (3, -4), and R(1, -2). The triangle is translated 5 units left and 4 units up. What are the coordinates of N' after the translation
N(-1,0)
N(-2,0)
N(0,0)
N(-2,3)
Answer:
N’ is (-2,0)
Step-by-step explanation:
Here, we want to find coordinates after translation
mathematically, a translation of 5 units left means we are to subtract 5 from the coordinate of the x point
Also, 4 units up means we are to add the value 4 to the value of the y coordinate
Thus, for N, we have the image after translation as:
(3-5, 4 + (-4))
= (-2, 0)
Answer:
2,0
Step-by-step explanation:
Thus is because 2,0 = 180 + 90 degrees into the ferhinite
A number n divided by 12 is 10.
or n +
Step-by-step explanation:
10.....................
Answer:
n = 120
Step-by-step explanation:
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
3y + 7 =28 how do I solve
Answer:
y= 7
Step-by-step explanation:
3y+7=28
subtract 7 from both sides
3y=21
divide each side by 3
y/3=21/3
y=7
Answer:
y=7
Step-by-step explanation:
3y+7=28
Move the constant to the right
3y=28-7
Calculate
3y=21
divide both sides to get y=7
20 POINTS!!!!!! HELP PLEASE!!!!!!!
Answer:
umm???????????? let me try doin it
Which expression is equal to the expression below?
(7•2)
O A. 7. (7.2)
B. 97
O c. 77.27
O D. 77 + 27
SUBMI
The equivalent expression is 7^7. 2^7.
Option C is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
(7 . 2)^7
Now,
This expression can be written as,
7^7 . 2^7
Thus,
The equivalent expression is 7^7. 2^7.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
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.
What is the GCF of 180x^5y^6 and 450x^6y^7 ?
Answer:
The GCF for the variable part is [tex]x^{5}[/tex]y[tex]x^{6}[/tex]. GCF Variable=x^5y^6
Multiply the GCF of the numerical part 90 and the GCF of the variable part x^5y^6. => 90x^5y^6
Step-by-step explanation: