Ralph would choose any number that is a perfect square.
The pattern Ralph likes is that he prefers numbers that are perfect squares. A perfect square is an integer that is the square of an integer. For example, he likes 25 because it is 52, 400 because it is 202, and 144 because it is 122. Numbers like 24, 300, and 145 are not perfect squares and therefore are not liked by Ralph.
To determine which number Ralph would like from a given list, you should identify which numbers are perfect squares. For instance, between the numbers 146 and 144, Ralph would like 144 as it is a perfect square (122) whereas 146 is not a perfect square.
1/5n -3/4 + 7/10n
Need to simplify
Convert 1.50 μm² to square meters.
As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to miles per minute. At this speed, how many miles will Jupiter travel in 4 minutes? Do not round your answers.
Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
First to convert it you need to multiply 8 miles per second by 60 seconds because there are 60 seconds in a minute:
8 miles x 60 s
1 second 1 min
The unit of seconds will cancel out so you will get 480 miles/ min
To get how far it travels in 4 min you need to multiply the speed by 4 minutes
480 miles x 4 min
1 min
The unit of minutes will cancel out to get 1920 miles
Therefore, Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.
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ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the steps you took to find the orthocenter including any necessary points or slopes you had to derive.
To find the orthocenter of triangle ABC with vertices A(0,6), B(4,6), and C(1,3), one must plot the triangle, calculate the slopes of its sides, find the slopes and equations of the altitudes, and determine their intersection point, which is the orthocenter.
The question involves finding the orthocenter of the triangle ABC with vertices A(0,6), B(4,6), C(1,3). To find the orthocenter, we have to identify the altitudes of the triangle and find their point of intersection. Here are the steps:
Plot the points A(0,6), B(4,6), C(1,3) on the Cartesian coordinate system and draw the triangle ABC.Find the slopes of the sides of triangle ABC: The slope of AB is 0 (horizontal line), the slope of BC and AC can be found using the formula [tex](y_2 - y1) / (x_2 - x1)[/tex].Determine the slopes of the altitudes: The slope of an altitude is the negative reciprocal of the slope of the side it is perpendicular to.Find the equations of the lines representing the altitudes by using the point-slope form of the equation of a line, which involves a point on the line (vertex of the triangle) and the slope you've just found.Calculate the point of intersection of any two altitudes. The intersection point is the orthocenter of the triangle.Upon completing these steps, the point of intersection is the orthocenter of the triangle ABC.
Marge has 4 more than 2 times as many books as Susan. If Marge has 22 books and x is the number of books that Susan has, the relationship can be written as 4 + 2x = 22. How many books does Susan have?
8
9
10
11
You measure a piece of rope and find its length to be 13 m. Find the percent error of this measurement.
please help on number 13
Given that the hypotenuse of this right triangle is 25 cm long and that tan(θ) = 3find the values of x and y, accurate to the nearest tenth.
Answer:x ≈ 7.9; y ≈ 23.7
Step-by-step explanation:
The right triangle above you can use SOHCAHTOA and determine that tanθ =
y
x
. Replacing tanθ with 3 you get
3 =
y
x
3x = y
Then use the Pythagorean Theorem to
x2 + y2 = 252. Replace y with 3x
x2 + 9x2 = 625
10x2 = 625
x2 =
625
10
x =
25
10
= 7.9
Since,
y = 3x
y = 3(7.9) = 23.7
Select the equation of the line that passes through the point (3, 5) and is perpendicular to the line x = 4.
y = 5
x = 5
y = 4
x = 3
In 1992, jason bought a gallon of gas for $1.23. yesterday, he bought a gallon of gas for $2.19. what is the percentage increase of the price of a gallon of gas from 1992 to yesterday? if necessary, round to the nearest tenth of a percent.
Answer:
39.7
Step-by-step explanation:
A sample of carbon-12 has a mass of 6.00 g. How many atoms of carbon-12 are in the sample?
I have the answer but I don't understand how to solve it.
What is 6/24 simplified?
Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)?
f(x) = −6(x + 1)(x + 5)
f(x) = −6(x − 1)(x − 5)
f(x) = −5(x + 1)(x + 5)
f(x) = −5(x − 1)(x − 5)
Answer:
Option A
Step-by-step explanation:
The equation has x intecepts at -1 and -5.
Hence function would be of the form
a(x+1)(x+5) for some real a.
To find a, let us use y intercept
When x =0 we have y =a(1)(5)
y intercept is given as -30
i.e. 5a = -30
a=-6
So
f(x) = -6(x+1)(x+5)
Option A is the right answer.
For each function, what is the output of the given input?
For f(x) = 4x+7, find f(4)
Answer:
f(4)=23
Step-by-step explanation:
Plug 4 in to the function
f(4)=4(4)+7
f(4)=16+7
f(4)=23
Final answer: 23
why is a circle not a polygon
Let's first go over the definition of a polygon.
A polygon a figure formed by coplanar segments. The segments are called sides.
A circle is not considered a polygon because it's formed by a curve rather than line segments.
I know the answer, but how to solve?
Working alone mona can paint a room in 4 hours. lisa can paint the exact same room in 3 hours. how long should it take to paint the room if they work together?
To find out how long it would take Mona and Lisa to paint the room together, we need to calculate their combined work rate. Mona can paint the room in 4 hours, so her work rate is 1/4 of the room per hour. Lisa can paint the room in 3 hours, so her work rate is 1/3 of the room per hour. Their combined work rate is 7/12 of the room per hour. Therefore, it would take them approximately 1 hour and 43 minutes to paint the room together.
Explanation:To find out how long it would take Mona and Lisa to paint the room together, we need to calculate their combined work rate. Mona can paint the room in 4 hours, so her work rate is 1/4 of the room per hour. Lisa can paint the room in 3 hours, so her work rate is 1/3 of the room per hour. To calculate their combined work rate, we add their individual work rates: 1/4 + 1/3 = 3/12 + 4/12 = 7/12 of the room per hour. Since they are working together, we can use their combined work rate to determine how long it would take to paint the entire room. The formula to calculate time is: Time = Work / Rate. In this case, the work is the entire room, which is 1, and the rate is 7/12 of the room per hour. Therefore, the time to paint the room when they work together is: Time = 1 / (7/12) = 12/7 hours, or approximately 1 hour and 43 minutes.
Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. Show the correct substitution of the values a, b, and c into the quadratic formula?
Answer:
A. Is The Answer
Step-by-step explanation:
Did On Edge 2022
What is the amount of sales tax owed on a $39 jacket if the tax rate is 5%?
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.
What is the average rate of change?
A 75 feet per hour
B 200 feet per hour
C 116 feet per hour
D 100 feet per hour
23!-22! is equal to what and how ?? ...?
8x + 2y= 10
Solve the equation for y ...?
what is 2/5 as percentage
Answer:
40
Step-by-step explanation:
divide 2 by 5 and you get 0.40 and then multiplicate by 100 and you get 40
The blueprints for a me house are scaled so that 1/4 inch equals 1 foot, what is the scale factor in terms of inches to inches?
What are the constant terms in the expression?
8m−5n+2+m−14
Answer: [tex]2 , -14[/tex]
Step-by-step explanation:
We know that the constant terms are the specific terms in an algebraic expression that have only numbers or numerical value or without any variable.
For example : The constant term in [tex]4x^2 -5m+16[/tex] is 16.
Let's take one more example , the constant term in [tex]3x-2y-4-7xy[/tex] is -4.
Given expression is : [tex]8m-5n+2+m-14[/tex]
Here, the terms are : [tex]8m,\ -5n,\ 2,\ m,\ -14[/tex]
Terms having variable = [tex]8m,\ -5n,\ m[/tex]
Terms without variable = [tex]2 , -14[/tex]
⇒ Constant terms =[tex]2 , -14[/tex]
Hence, the constant terms in the given expression = [tex]2 , -14[/tex]
Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?
A.10 weeks
B.12 weeks
C.15 weeks
D.20 weeks
find three solutions of the equation y=2
Ashley's penny bank is 1/4 full. After she adds 400 pennies, it is 2/3 full. How many pennies can Ashley's bank hold?
the function p(t)=350e^-.2t represents the population of a city, in thousands, t years after 2010. determine the population of the city in 2014
Select all of the following that are a direct variation.
Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.
Arcade games are 50 cents or $1.
To go tubing it is $5 to rent the tube and $7 for each hour.