The local monsters are currently throwing a bash
known as the Monster Mash. At the beginning of the
party, there were 5 monsters attending. At the end
of the party there were 225 monsters. If an average
4 monsters came to the bash every minute of the
party, how long did this Graveyard Smash last?
Answers
Answer: 55 minutes
Step-by-step explanation:
First, you would have to subtract 5 from 225 because there are already 5 monsters there.
225-5= 220
Next, you would have to divide 220 by 4 to find the amount of minutes.
220/4= 55
Related Questions
If sin(theta) = 3/5 and theta terminates in the first quadrant, find the exact value of cos (2 theta)
Answers
According to the problem, we have
\(\sin \theta=\frac{3}{5}\)Then, we use the Pythagorean Trigonometric Identity
\(\begin{gathered} (\sin \theta)^2+(\cos \theta)^2=1 \\ (\frac{3}{5})^2+(\cos \theta)^2=1 \\ \frac{9}{25}+(\cos \theta)^2=1 \\ (\cos \theta)^2=1-\frac{9}{25}=\frac{25-9}{25}=\frac{16}{25} \\ \cos \theta=\frac{4}{5} \end{gathered}\)Now, we use the Double Angle Identity
\(\begin{gathered} \cos ^{}2\theta=\cos ^2\theta-\sin ^2\theta \\ \cos 2\theta=\frac{16}{25}-\frac{9}{25}=\frac{16-9}{25}=\frac{7}{25} \end{gathered}\)Hence, the exact value of cos (2 theta) is 7/25.The volume of the cuboid is 58.5cm3 Find the value of p
Answers
i have to say that I have a 8car problem with a small number only I can t for a while but the whole thing has told to write a letter of the rhombus of my name and I will not bought it for the next few months or so I can tell what I have done science in my pleasure to do this with the same name and the name is the best way
When solving equation, Drew's first step is shown below. Which property justifies
Drew's first step?
Answers
Choose the graph of y = |x| + 3 by translating the parent function.
Answers
Answer:
picture?
Step-by-step explanation:
Answer:
Visualise the answer as a 90 degree angle, pointing downward (left side going up/left at 45 degrees, and right side going up/right at 45 degrees), with the corner falling on point 0, 3.
HELP ME PLEASE!
Find the equation of the line.
Use exact numbers.
Answers
Homework part2 need help asap
Answers
The key features of the given quadratic functions are listed below.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.
For the quadratic function y = 3x² - 5, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, -5).
Domain: [-∞, ∞]
Range: [-5, ∞]
For the quadratic function y = -2x² + 12x - 15, the key features are as follows;
Axis of symmetry: x = 3.
Vertex: (3, 3).
Domain: [-∞, ∞]
Range: [-∞, 3]
For the quadratic function y = -x² + 1, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, 1).
Domain: [-∞, ∞]
Range: [-∞, 1]
For the quadratic function y = 2x² - 16x + 30, the key features are as follows;
Axis of symmetry: x = 4.
Vertex: (4, -2).
Domain: [-∞, ∞]
Range: [-2, ∞]
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What is the answers to Part A, B, and C ?
Answers
Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.
How to explain the informationPart b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.
Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.
Years since 1990, x 0 5 10 15 20 25 30
Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82
The equation of the fitted curve is y = 50(1.06)^x.
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Can you Please help me with number 15? I am confusedThe instructions says: find the missing side. Round to the nearest tenth.
Answers
Given the Right Triangle shown in the picture (a Right Triangle has an angle that measures 90 degrees) you can find the length of the missing side "x" by using this Trigonometric Function:
\(\tan \beta=\frac{opposite}{adjacent}\)In this case, you can identify that:
\(\begin{gathered} \beta=72\degree \\ opposite=18 \\ adjacent=x \end{gathered}\)Then, you can substitute values and solve for "x":
\(\begin{gathered} \tan (72\degree)=\frac{18}{x} \\ \\ x\cdot\tan (72\degree)=18 \end{gathered}\)\(\begin{gathered} x=\frac{18}{\tan (72\degree)} \\ \\ x\approx5.8 \end{gathered}\)Hence, the answer is:
\(x\approx5.8\)Find the surface area of the triangular priam, using a r
The surface area of the prism is square units
necessary
15
17
(The figure is not to scale)
Answers
Answer:
127.5
Step-by-step explanation:
multiply 15 and 17 divide by 2 and boom
please simplify this in fraction form(-3/10)(-2/9)
Answers
Answer:
These fractions are already in simplest form.
Step-by-step explanation:
Answer:
1/15
Step-by-step explanation:
-3/10×-2/9
6/90
Simplified (divide by six):
1/15
n
2016
20162016, the city of Rio de Janeiro had a population density of
5377
people
km
2
5377
km
2
people
5377, start fraction, start text, p, e, o, p, l, e, end text, divided by, start text, k, m, end text, squared, end fraction .
What was the population density of Rio de Janeiro in people per square meter?
Answers
The population density of Rio de Janeiro in people per square meter is 5. 377 x 10 ⁻³ people per m²
How to find the population density ?To find the population density in meters squared when given the population density in kilometers squared, you first need to find the conversion factor between kilometer squared and meters squared.
1 kilometer squared is equal to 1, 000, 000 meters squared.
The population density of Rio de Janeiro in meters squared is therefore:
= Population density in kilometers squared / Conversion factor
= 5, 377 / 1, 000, 000
= 0. 005377
= 5. 377 x 10 ⁻³ people per m²
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The full question is:
In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.
What was the population density of Rio in people per square meter?
A web designer charges a $200 fee plus $50 per hour to build a website. Which equation represents the total cost, y, to a customer based on the number of hours, x, it takes to buld the website?
A.
y = 50x − 200
B.
y = 250x
C.
y = 200x + 50
D.
y = 50x + 200
Answers
The equation that represents the total cost, y, to a customer based on the number of hours, x, it takes to build the website is y = 200 + 5x
How to find the equation that represent cost?A web designer charges a $200 fee plus $50 per hour to build a website.
Therefore,
y = total cost
x = number of hours
Hence, the equation that represents the total cost, y, to a customer based on the number of hours, x is as follows:
y = 200 + 5xTherefore, the equation that represents the total cost, y, to a customer based on the number of hours, x, it takes to build the website is y = 200 + 5x
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mg+rg=2H, solve for g
Answers
Answer:
\(g=\frac{2\,H}{m+r}\)
Step-by-step explanation:
Starting with :
m g + r g = 2 H
extract "g" as a common factor on the left of the equal sign:
g (m + r) = 2 H
Now, in order to solve for "g" , divide both sides of the equal sign by the binomial (m + r):
g = (2 H )/(m + r)
\(g=\frac{2\,H}{m+r}\)
A watermelon that weighed 12 pounds cost $5.76. What was the cost per ounce of the watermelon?
Answers
Answer:
69.12
Step-by-step explanation:
12x5.76
Answer
69
Step-by-step explanation:
12×5.75=69
At a given point 67.7ft at ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees find the height of the roof worker and the distance of the ø if someone is observing below.
Answers
The height is 114.83 ft and the distance of the ø if someone is observing below is 84.8.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that at a given point of 67.7ft at the ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees.
The base will be calculated as:-
tan(38.6) = P / B
tan(38.6) = 67.7 / B
B = 67.7 / tan(38.6)
B = 54.8 ft
The height will be calculated as:-
Cos(42.4) = B / H
H = 84.8 / Cos(42.4)
H = 114.83 ft
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My question has been answered
Answers
What is the explicit formula for this sequence?
40, 20, 10, 5,...
A. an= = (1)
B. an-40-2(n-1)
C. an = 40 (¹)
D. an = 40. (1)-0•40(n-1)
Answers
Answer:
D. an = 40. (1)-0•40(n-1)
Step-by-step explanation:
Simplifying the formula, we have:
an = 40 - 0 * 40 * (n-1)
an = 40 - 0
an = 40
Fill in the blanks.
1. The slopes of perpendicular lines are ______.
2. Parallel lines have the _____ slope.
3. The shortest distance from any point to a line is a ______.
Answers
1. The slopes of perpendicular lines are a negative reciprocal
2. Parallel lines have the same slope.
3. The shortest distance from any point to a line is a straight line
What is the slope perpendicular lines?The slope of two perpendicular lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other.
if two lines of slope m and m' are perpendicular their slopes is written as
m = -1/m'
What is the slope parallel lines?Parallel lines grow vertically and flow horizontally at the same rate. they have the same slope, they never cross.
if two lines of slope m and m' are perpendicular their slopes is written as
m = m'
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Juniper measured his bed twice: once in meters and once in
millimeters. Which is true?
A) The number of meters will be greater.
B) The number of millimeters will be greater.
C) They will both be the same.
Answers
Answer:
B
Step-by-step explanation:
millimeter means one-thousandth of a meter meaning the number of millimeters will be larger by a factor of 1000.
Answer:
B
Step-by-step explanation:
Millimetres is A LOT smaller than meters, meaning the individual number of millimetres is larger than the individual number of meters.
Solve each equation by completing the square.
d² - 24d + c
Answers
Answer:
d² - 24d + c = (d - 12)² - 144 + c
use the rule to find the term 10 using divide by 2 rule 40 20 10
Answers
40, 20, 10
The rule states that each term is obtained by dividing the previous term by 2. Let's apply this rule to find the 10th term:
Term 1: 40
Term 2: 40 / 2 = 20
Term 3: 20 / 2 = 10
Term 4: 10 / 2 = 5
Term 5: 5 / 2 = 2.5
Term 6: 2.5 / 2 = 1.25
Term 7: 1.25 / 2 = 0.625
Term 8: 0.625 / 2 = 0.3125
Term 9: 0.3125 / 2 = 0.15625
Term 10: 0.15625 / 2 = 0.078125
Therefore, the 10th term of the sequence obtained using the "divide by 2" rule is approximately 0.078125.
graph the following
y=-x+4
Answers
Answer:
I sent the answer in the pictures, you can also see what I used to graph it.
Step-by-step explanation:
I hope this helps!
For your slope, you have -x and one thing to remember with variables is there's always a invisible 1 in front of your variable so instead of it being -x it's also -1x.
With slope you do rise over run. so you go down 1 (because it's a negative) and the 1 (because the x is now positive)
the website i used is desmos, it's extremely easy to use.
i hope this helped!
You order three sandwiches and a drink. The drink costs $1.75. You pay 8% sales tax and leave a $5 tip. You pay a total of $20.66. How much does one sandwich cost?
Answers
Using proportions, it is found that one sandwich costs $4.25.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Considering x as the cost of a sandwich, the total cost is given as follows:
1.08(3x + 1.75) + 5 = 20.66.
The multiplication by 1.08 is because of the sales tax. We solve for x to find the cost of one sandwich, hence:
1.08(3x + 1.75) = 15.66
3x + 1.75 = 14.5
3x = 12.75
x = 12.75/3
x = 4.25.
Hence one sandwich costs $4.25.
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Which ratio is equivalent to 7:3?
12:8
28:12
49:9
21:7
Dona
Answers
Answer:
iit's none if those its actually 14:6
The rocket that carried the Curiosity Rover to Mars
Answers
Answer:
Atlas V
Step-by-step explanation:
NASA began a historic voyage to Mars with the Nov. 26, 2011, launch of the Mars Science Laboratory mission, which carries a car-sized rover named Curiosity. Liftoff from Cape Canaveral Air Force Station aboard an Atlas V rocket occurred at 10:02 a.m. EST (7:02 a.m.
Which phrase describes the variable expression y-12
A. The quotient of y and 12
B. Y increased by 12
C. The product of y and 12
D. Y decreased by 12
Answers
Answer:
D.
Step-by-step explanation:
y - 12 means that 12 is being subtracted from y.
Subtracting 12 from y means decreasing y by 12.
Answer: D.
Please Solve. 100 points for correct answers
Answers
In the drawing you can see all the information provided. Especially, the information regarding the triangle AED tells us it is an equilateral triangle (a triangle where all the sides are of the same length).
These triangles ALWAYS have 3 times the same angle which is 60*.
This means we can use the law of cosines as we have two sides and the inscribed angle (at the corner A) given. Now the law of cosines tells us that:
x = sqrt( AB^2 + AC^2 - 2*AB*AC*cos(y))
Plugging the given numbers gives us
x = sqrt( 33^2 + 21^2 - 2*33*21*cos(60*))
A calculator tells us that
x = 28.931 so not actually an integer.
Well I do not know where the mistake is :)
I need help with this question please with details
Answers
The dimensions of the rectangular box are given as follows:
All the dimensions.
A. 6 inches long, 3 inches wide, 3 inches tallB. 9 inches long, 2 inches wide, 3 inches tallC. 18 inches long, 3 inches wide, 1 inch tallD. 27 inches long, 2 inches wide, 1 inches tallHow to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The box's volume is obtained as follows:
54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)
Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.
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I need helppp please
Answers
Step-by-step explanation:
3(2/3y) =3(-6)
2y=-18
2/2y= -18/2
y=-9
Simplify: *
4(1/2+5/4)+ -5
Answers
Step-by-step explanation:
commn this number agen division
