Answer:
(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]
Step-by-step explanation:
What is the ratio of the volumes of two similar rectangles, if the ratio of their perimeters is 2:9?
Answer:
Step-the base is equal to length * width.
the formula for the volume of a rectangular prism becomes length * width * height.
the ratio of the volume of a three sided figure is the ratio of their corresponding sides cubed.
so if the ratio of their volumes is 125/64, then the ratio of their corresponding sides id 5/4 because 5^3 = 125 and 4^3 = 64.
since the base area is equal to length * widfth, then the ratio of the areas becomes 5^2 / 4^2 which is equal to 25/16.
the ratio of the base area becomes 25/16.
to confirm, use an example:
original prism has dimensions as shown below:
length = 20
width = 40
height = 60
volume = 20 * 40 * 60 = 48000
base area = 20 * 40 = 800
prims that has sides in a ratio of 5/4 to original prism is shown below:
length = 20 * 5/4 = 25
width = 40 * 5/4 = 50
height = 60 * 5/4 = 75
volume = 25 * 50 * 75 = 93750
base area = 25 * 50 = 1250
ratio of the volumes = 93750 / 48000 = 1.953125
ratio of the base areas = 1250 / 800 = 1.5625
125/64 = 1.953125
25/16 = 1.5625
the formulas work.
the ratio of the volume is 125/64
the ratio of the base area is 25/16by-step explanation:
volume = 20 * 40 * 60 = 48000
base area = 20 * 40 = 800
prims that has sides in a ratio of 5/4 to original prism is shown below:
length = 20 * 5/4 = 25
width = 40 * 5/4 = 50
height = 60 * 5/4 = 75
volume = 25 * 50 * 75 = 93750
base area = 25 * 50 = 1250
Consider the cone with slant height of 13 m and perpendicular height of 12 m: a) Find the length of the radius, r. b) Find the length of the diameter of the cone's base.
Answer:
Step-by-step explanation:
This graph represents gasoline price trends in New Mexico.
First, the price of gasoline in New Mexico _______ (increases quickly, increases slowly, decreases slowly, decreases quickly) , and then it _____ (increases quickly, increases slowly, decreases slowly, decreases quickly)
Answer:
Increases slowly, increases quickly
Step-by-step explanation:
The first part of the graph is a slope that's not very steep, but in a positive direction. That means it's increasing slowly. The second segment has a much steeper slope, and it's going upwards, meaning it is increasing quickly.
I hope this helped!
In a class of 30 students, 18 have a cat and 17 have a dog. There are 7 students who
have a cat and a dog. What is the probability thatla student chosen randomly from the
class has a cat and a dog?
The probability of having cats and dogs is 7/30.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Definitions of Probability Theory Terms
The probability terminology listed below aid in a better comprehension of probability concepts.
Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.
Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.
Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so. For instance, if we roll two dice and receive the total of the two numbers as 4, the possible/favorable possibilities are (1,3), (2,2), and (3,1).
Trial: To conduct a trial is to conduct a random experiment.
Given:
total students = 30
students have cat = 17
student have dog = 17
students have both =7
So, the probability of having cats and dogs
=7/30
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Which of the following is a rational function?
O A. F(x) =
x² +5x-6
3x
OB. F(x)=x-x+8
O C. F(x)=√2x-1+9
OD. F(x) = -7x+15
Answer:c
Step-by-step explanation:
The function x² +5x-6/3x is a rational function, option A is correct.
What is a function?A relation is a function if it has only One y-value for each x-value.
x² +5x-6/3x is a rational function, as it can be written in the form:
F(x) = (x² + 5x - 6) / (3x)
where the numerator and denominator are polynomials.
F(x)=x-x+8 is not a rational function, as it simplifies to F(x) = 8, which is a constant and not a fraction.
F(x)=√2x-1+9 is not a rational function, as it contains a square root and cannot be expressed as a ratio of two polynomials.
F(x) = -7x+15 is not a rational function, as it is a polynomial and not a fraction.
Therefore, the function x² +5x-6/3x is a rational function, option A is correct.
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if spur gear system has a driver gear with 100 teeth and rotates at a speed of 10 RPM and is meshed with a driven gear of 20 teeth, then the driven gear will rotate at a speed of:
A. 200 RPM
B. 100 RPM
C. 50 RPM
D. 20 RPM
E. none of the above
100 teeth / 20 teeth = 5
5 x 10 rpm = 50 rpm
answer: 50 rpm
Jayne stacked 2 cubes on top of each other as shown. The edge length of the smaller cube is half the edge length of the cube below it. What is the surface area of the new figure?
Considering the surface area of a cube, and that the figure has two cubes, the total surface area is of 1470 m².
What is the surface area of a cube?The surface area of a cube of edge length a is given by:
S(a) = 6a².
In this problem, we have two cubes, one with a = 14 m and the other with a = 7 m. Hence, the total surface area, in m², is given by:
S(a) = 6 x 14² + 6 x 7² = 1470.
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A student used the equation below to create a table.
y=-3x - 5
The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
O (-11, -2)
O (-2,-11)
O (-2, 1)
O (1.-2)
Mark this and return
Save and Exit
Next
Submit
Answer:
second option -2, -11
Step-by-step explanation:
when you put -2 where x is then
y is -11
At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a large pizza topped with pepperoni, mushrooms, olives, and sausage. How much did their pizza cost? Show your work.
Answer:
$18.99
Step-by-step explanation:
The total cost is the base cost plus that of the added toppings.
total cost = base cost + (number of toppings) × (topping cost)
total cost = $13.99 + 4 × $1.25 = $18.99
Their pizza costs $18.99.
Do a web search to find the sunrise and sunset times for the last year in Osnabrück.
Starting with January 1, calculate the number of daylight hours every 30 days. (You should have 13 items of data.) Convert the time from hours and minutes to the nearest tenth of an hour. For example, if the sunrise time is 0708, write the decimal 7.1, by dividing 8 by 60.
Graph this set of data on graph paper. The horizontal axis will represent the day of the year, and the vertical axis will represent the number of daylight hours. Be sure to title your graph and label the axis.
Draw a regression curve, a curve that best represents your set of data. (This is similar to drawing a line of best fit.)
Answer the following questions about your graph in the box below. Number the responses of your answers as you enter them.
Turn in your set of data and graph to your teacher.
Answer the following questions in the essay box below:
Locate the lowest and highest points on your graph. What is the amplitude?
There are 365 days in a year. Explain this value's relationship to the graph.
What is the vertical shift of the graph?
What is the phase shift of the graph?
Write a sinusoidal function that models the number of daylight hours for the year in this city.
Using your equation, estimate the number of daylight hours in this city on the 220th day of the year. Based on your graph, does this answer seem reasonable? Explain any discrepancy that might occur between the two values.
Answer:
Step-by-step explanation:
A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.
Brady borrowed $59.99 from his brother
to buy concert tickets. His brother charges
him a weekly simple interest rate of 3.25%.
Brady pays him back in 4 weeks.
Answer:
Pay back $ 67.79 in four weeks
Step-by-step explanation:
He will have to pay INTEREST FO
59.99 x .0325 x 4 = 7.7987
PLUS the 59.99 that he borrowed
= 67.79
Lara has been hired for a new sales position at a local store. The salaries of the seven people who have been working at the store for one year are listed in this table.
Which statistic(s) can Lara use to predict what her salary most likely will be after one year?
Answer:
The Median or The Mode
Step-by-step explanation:
I had the same question on a quiz and got it right
The length of a log of wood is 90 in. How many cuts do you need to make to obtain
the greatest number of pieces, where each piece will have a different length and the
length of each piece is a whole number, in inches?
The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The total length of the wood = 90 in
We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.
We can cut it like:
1 in, 2 in, 3 in, 4 in, and so on
The above shows the arithmetic sequence,
The sum of the n natural number is given by:
[tex]\rm S_n = \dfrac{n(n+1)}{2}[/tex]
[tex]\rm 90 = \dfrac{n(n+1)}{2}[/tex]
After solving, we will get a quadratic equation:
n² + n -180 = 0
After solving, we will get:
n = 12.92 and n = -13.92(term can not be negative)
n = 12 (taking whole number)
Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).
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-1+4x^{3}-\frac{x^{5}}{5}+x^{2}-3x
−1+4x
3
−
5
x
5
+x
2
−3x
Answer:
here is the graph
Step-by-step explanation:
find the value of x
please help me out here ill do anything
Answer:
let's find the value of x:
4)
10x=6(5)10x=30x=35)
9(x+4)=8(8+10)9x+81=1449x=63x=76)
y^2=2(2+9)y^2=2×11y^2=22y=√(22)y= 4.69 or 4.7c) If you are given a circle with center C, how do you locate the vertices of a square inscribed in circle C?
Answer: The square is inscribed in a circle that means the square is drawn inside a circle such that it's vertices lie on the circle.
You need to remember that the vertices of the square lie on the circumference of circle and the center of circle is also the midpoint of diagonals of the square i.e. Diagonal of the square is equal to diameter of the circle.
We could also see the image of such figure.
Which table represents a linear function?
Answer:
B. Is linear
Step-by-step explanation:
if you graph it it’s a straight line going up
Hope this helps! ;-)
PLEASE HELP ASAP!! DUE IN 10 MINUTES!! I'LL MARk BRAINLIEST ADN HIGH POINTS!! PLEASE HELP!!
Answer:
*speedrunning intensifies*
A:
Min is 15
LQ is 23
Median is 36
UQ is 38
B:
IQR is 38 minus 23, or 15, I guess that the data is not very consistent and it is spread out?
C:
Min is calculated by looking at the end of the far left line
LQ is the far left of the box
Median is the line inside the box
UQ is the the far right of the box
IQR is UQ subtract LQ
I answered because I wanted you to get brainliest!
I WILL GIVE BRAINLIST HURRY PLS
The box plot shows the total amount of time, in minutes, the students of a class spend reading each day:
What information is provided by the box plot? (3 points)
The mean for the data
The median for the data
The number of students who provided information
The number of students who read for more than 21.5 minutes
Answer:
10000000 Thousand second ........°°°°°°
2x^2-8x factor
the folowing polynomials
Malik randomly selects 60 students at Williams High School about their favorite flavor of milkshake. Of the students selected, 24 identified chocolate as their favorite milkshake. There are 1,990 students at Williams High School. Based on the data, what is the most realistic estimate for the number of students at Williams High School whose favorite ice-cream is Chocolate? A. 60 Students, B. 796 Students, C. 1,194 Students, or D. 1,400 Students?
Answer:
B
Step-by-step explanation:
The answer is B as this is a simple ration question.
All you need to do is convert the question into ration fraction form:
24/60 =x/1990
x is the number of people whose favourite ice-cream is chocolate.
Do cross multiply on both sides and you will get 47760=60x.
x= 796.
Thus, you get your answer.
Hey guys! Please read this whole thing!
Ok, so I just went into this coarse and I read the lesson and it can’t answer this anywhere! Should I just like ignore the 4 in there? If not, can you walk me through step by step how I would find the volume in this question? I’m completely stuck. Help!
Answer: Yes, you can ignore the four on this one. Since the shape is irregular, you have the separate them. The bigger box will be 54.
Length(6) × Width(3) × Height(3)
Do the same for the smaller box = 3 × 1 × 2
The volume of this irregular shape will be 60.
The circumference of a circle is approximately 43.96 centimeters. What is the radius of the circle? 3.14 for Pie
-7 Centimeters
-11 Centimeters
-14 Centimeters
-22 Centimeters
Answer:
7 Centimeters
Step-by-step explanation:
if f(x) = 7 x - 3 and g(x) = x^2 - 4x - 8 find (f+g)(x)
Answer:
x² + 3x - 11
Step-by-step explanation:
Adding functions: (f + g)(x) is equivalent to f(x) + g(x)
Here, we are given:
f(x) = 7x - 3g(x) = x² - 4x - 8Simplify:
(7x - 3) + (x² - 4x - 8)
7x - 3 + x² - 4x - 8
x² + 3x - 11
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I need the answer for the what if one
so you would ski down the mountain to the nearest foot is 2556.06ft
y X X
y = 85 when x = 17
Using the information above, write an equation for y in terms of x.
y=
?
Answer:
y= x5
Step-by-step explanation:
y = 5 times the number of x.
A basketball team made $3,094 selling team hats. Each hat sold for $34. How many hats did the team sell?
Answer:
The team sold 91 hats.
Step-by-step explanation:
$3,094 ÷ %34 = 91
3(2x + 5)= 4 (c-3) I know how to solve it but can someone explain it.
Answer:
3x×2c+1
Step-by-step explanation:
6x+15 =4c-12
[tex] \frac{6x + 15}{4c - 12} = \frac{4c - 12}{4c - 12} [/tex]
[tex] \frac{6x + 15}{4c - 12} [/tex]
[tex] \frac{3x + 5}{2c - 4} [/tex]
[tex]3x + 5 \div 2c - 4[/tex]
[tex]3x \times 2c + 5 - 4[/tex]
[tex]3x \times 2c + 1[/tex]
Which statements about the design are true? select three options. each sprinkler head is placed more than 3 feet from the walkway. if two additional sprinkler heads are placed on the lawn, every square foot of the yard would be watered. the total area watered by each sprinkler is approximately 63.6 square feet. the total area watered by all the sprinklers is approximately 254 square feet. if the sprinklers were placed in two straight lines on the yard, they would water a greater amount of the lawn.
The true statements are:
A. Each sprinkler head is placed more than 3 feet from the walkway.C. The total area watered by each sprinkler is approximately 63.6 square feet.D. The total area watered by all the sprinklers is approximately 254 square feet.Calculations and Parameters:Given that:
Sprinkler head = More than one grid box awayEach grid= 3 feetSprinkler distance= 1.5 boxesRadius=?Area=?To find the radius, 3 * 1.5= 4.5 feet.
The area of each circle=
[tex]3.15(4.5)^2 \\= 63.585 \\ 63.6 ft^2.[/tex]
Hence, the statements that are true are options A, C, and D.
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Answer:
It is A C D
Step-by-step explanation:
:) good luck
A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Explain.