are irrational numbers always/sometimes/never rational numbers
Which of the following represents two lines that are coplanar and do not intersect?
A. Perpendicular
B. Skew
C. Parallel
D. Intersecting
Two lines that are coplanar and do not intersect are called parallel lines. This means they exist within the same plane and while they never meet, they continue indefinitely in the same direction.
Explanation:Of the given options: Perpendicular, Skew, Parallel, and Intersecting, the term that represents two lines that are coplanar (existing in the same plane) and do not intersect is Parallel. A brief explanation of each option: A. Perpendicular lines are coplanar and do intersect at a right angle. B. Skew lines are not coplanar, hence they do not intersect nor are they parallel. C. Parallel lines are coplanar and do not intersect at any point. D. Intersecting lines are coplanar and do cross at some point.
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Give an example of addition problem in which you would and would not group the addends differently to add
Answer:
The numbers which have unit digit Zero for a two digit number, and for three digit number ones and tens place should be equipped with zero,So on..... does not require addends to group together.
For example, addition problem in which you would not regroup addends
→ 10+20+30
→ 30 +40 +50
→ 100+200+300
And Addition Problems in which you will regroup addends
→ 17 +5 +3=(17+3)+5=20+5=25
→ 4+9+6=(4+6)+9=10+9=19
→ 13+19+17=(13+17)+19=30+19=49
Which unit of measurement would be most appropriate to measure the distance between Atlanta, GA and Nashville, TN? A) centimeters B) inches C) kilometers D) yards
Answer is of course C
Since 1970, the # (in thousands) of males M and females F attending institutes of higher education can be modeled by: M=0.091t^3-4.8t^2+110+5,000 and F=0.19t^3-12t^2=350t+3,600 where t is the number of yrs since 1970. Write a model for the total # of people attending institutes of higher education.
The total number of people attending higher education institutions is modeled by T = 0.281t^3 - 16.8t^2 + 460t + 8,600, representing the sum of the models for males and females attending colleges.
Explanation:To answer the student's query regarding the total number of people attending institutes of higher education, we need to create a model that includes both the number of males and females attending as described by their respective equations. The model for the number of males attending college is given by M = 0.091t^3 - 4.8t^2 + 110t + 5,000, and the model for the number of females is F = 0.19t^3 - 12t^2 + 350t + 3,600. To find the total number of students, T, we simply add the two models together: T = M + F.
Therefore, the model for the total number of people attending institutes of higher education is:
T = (0.091t^3 - 4.8t^2 + 110t + 5,000) + (0.19t^3 - 12t^2 + 350t + 3,600)
Combining like terms, we get:
T = (0.091t^3 + 0.19t^3) - (4.8t^2 + 12t^2) + (110t + 350t) + (5,000 + 3,600)
Which simplifies to:
T = 0.281t^3 - 16.8t^2 + 460t + 8,600
This equation represents the total number of students, in thousands, attending institutes of higher education t years since 1970.
-3p-(-8+4p) combining like terms & distributive property
In a video game, a character is healed at a constant rate as long they are standing in a certain circle. Complete the table
Jeff's dog weighs 76 pounds what is the
Dog's weight rounded to the nearest ten pounds
The dog's weight rounded to the nearest ten pounds is 80 pounds.
The dog's weight, 76 pounds, can be rounded to the nearest ten pounds.
To round to the nearest ten pounds, we look at the digit in the ones place. If the digit is 0, 1, 2, 3, or 4, we round down to the nearest ten. If the digit is 5, 6, 7, 8, or 9, we round up to the nearest ten.
In this case, the digit in the ones place is 6. Since 6 is greater than 5, we round up to the nearest ten.
So, the dog's weight rounded to the nearest ten pounds is 80 pounds.
Twice a number (x) is less then 10
dave has 30% off coupon for pair of jeans priced at $78.95. he will also have to pay a 6% sales tax and a 1% local option tax at the register. how much will he have to pay for the jeans?(p.s. please work it out in detail, so I can get a better understanding instead of just putting the answer. )
Answer:
$59.13355 ≈ $59.14
Step-by-step explanation:
Marked Price = $78.95
Discount @ 30% = 0.30 x $78.95
= $23.685
Selling Price = Marked Price - Discount
= $78.95-$23.685
= $55.265
Sales tax @ 6% = 0.06 x $55.265
= $3.3159
Local Option Tax @ 1% = 0.01 x $55.265
= 0.5526
Hence Billing amount = Selling Price +Sales tax + Local Option Tax
= $55.265 + $3.3159+$0.5526
= $59.13355
≈ $59.14
...anybody know this one
Solve the absolute value equation. Graph the solution. 2|3x-5|-8=8
Answer:
x = -1 or x = 4[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
2 * | 3x - 5 | - 8 = 8. Add 8 to both sides.
2 * | 3x - 5 | - 8 + 8 = 8 + 8
2 * | 3x - 5 | = 16 Divide both sides by 2.
[tex]\frac{2 * | 3x - 5 | }{2}[/tex] = [tex]\frac{16}{2}[/tex]
| 3x - 5 | = 8 Write two equations.
3x - 5 = 8 | 3x - 5 = -8 Solve both equations.
3x - 5 + 5 = 8 + 5 | 3x - 5 + 5 = -8 + 5
3x = 13 | 3x = -3 Simplify.
x = 4[tex]\frac{1}{3}[/tex] | x = -1
What is 4,785 rounded to the nearest thousand?
Estimate: 25.73 – 2.19
In the number 12.057,which digit has the greater value,the 5 or 7?explain
For what value of x do the functions f(x)=−52x+4 and g(x)=−12x−4 have the same output?
Answer:
-52x+4
Step-by-step explanation:
I took the test .
Any nonzero integer divided by 0 equals 0. True or false? Justify your answer.
Any nonzero integer divided by 0 equals 0 is a false statement.The correct statement is 0 divided by any integer is 0.
What is an integer ?An integer is a number which has no fractional part means the digits after the decimal part are all 0.
According to the given question Any nonzero integer divided by 0 equals 0 it is false statement.
0 divided by any non zero integer is is 0.
Suppose we have 0 no. of chocolates and we have to give those chocolates to 10 people.How many chocolates will each person have ? 0 isn't it because we have 0 chocolates means we don't have any chocolates.
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7,000 is ten times as much as what number?
7.3579 E8 in standard form
For this case we have the following exponential expression:
[tex] 7.3579 E8
[/tex]
We can rewrite the exponential expression in scientific notation as follows:
[tex] 7.3579 E8 = 7.3579 * 10 ^ 8
[/tex]
Then, to write the number in its standard form, we move the decimal point 8 spaces to the right. This is because the exponent is positive.
We have then:
[tex] 7.3579 * 10 ^ 8 = 735790000
[/tex]
Answer:
7.3579 E8 in standard form is:
[tex] 735790000 [/tex]
How many people must attend the third show so that the average attendance per show is 3000 write an equation too
The third show must be attended by 3500 people.
To find the number of people that must attend the third show so that the average attendance per show is 3000, we can use the concept of averages.
The average attendance per show is the sum of the attendances divided by the number of shows.
In this case, we have attended 1 show by 2580 people, 2 shows by 2920 people, and the attendance for the third show is x people. So, the equation to represent the average attendance per show of 3000 is:
(2580 + 2920 + x) / 3 = 3000
To solve this equation, we can multiply both sides by 3 to eliminate the denominator and get:
2580 + 2920 + x = 9000
Then, we combine like terms:
5500 + x = 9000
Finally, we subtract 5500 from both sides to isolate x:
x = 3500
Therefore, for the average attendance per show to be 3000, the third show must be attended by 3500 people.
The probable question may be:
How many people must attend the third show so that the average attendance per show is 3000 write an equation too
1 show is attend by 2580 people,
2 show is attend by 2920 people,
3 show is attend by x people.
correct answer is x=3500
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in feet of the cable above the roadway, x is the horizontal distance in feet from the left bridge support, a is a constant, and (h, k) is the vertex of the parabola. At a horizontal distance of 30 ft, the cable is 15 ft above the roadway. The lowest point of the cable is 6ft above the roadway and is a horizontal distance of 90 ft from the left bridge support. Which quadratic equation models the situation correctly? y = -0.0025(x - 90)² + 6y = -0.0025(x - 30)² + 15✔ y = 0.0025(x - 90)² + 6y = 0.0025(x - 30)² + 15
The main cable attaches to the left bridge support at a height of 26.25 ft.The main cable attaches to the right bridge support at the same height as it attaches to the left bridge support. What is the distance between the supports?Answer:
The equation that models this situation correctly is C. y = 0.0025(x-90)² + 6.
Step-by-step explanation:
To find the quadratic equation that best models this equation, the only piece of information we need is "The lowest point of the cable is 6ft above the roadway and is a horizontal distance of 90 ft from the left bridge support."
The keyword lowest tells us the value is a minimum. Therefore, the parabola must be a positive one, because negative parabolas have maximum values. This disqualifies answer choices A and B because they have negative a values.
We also know the vertex occurs at (90, 6) because this is where the lowest point is. Therefore, the equation should be y = 0.0025(x-90)² + 6. (Note: the information about point (30, 15) is not relevant to the problem.)
What is 0.0000855 in scientific notation
Answer:
8.55 x 10^-5
Step-by-step explanation:
we need to write 0.0000855 in scientific notation
To get the number in scientific notation, we need to move the decimal point after the first number
To get the decimal number after the first number we move the decimal point 5 places to the right
0.0000855 becomes 00008.55
We moved 5 places to the right, so we multiply by 10^-5
[tex]8.55 \cdot 10^{-5}[/tex]
FIND THE VALUE OF EACH EXPRESSION IN LOWEST TERMS
The value of each expression in the lowest term is [tex]3\frac{19}{20}[/tex] .
In mathematics, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.
Expressions might be simple or complex, based on the number of components and operations involved. To perform calculations, represent relationships, describe patterns, and communicate mathematical ideas, expressions are generally used.
Given that
[tex]2\frac{1}{5}[/tex] + [tex]1\frac{3}{4}[/tex] = [tex]\frac{11}{5}[/tex] + [tex]\frac{7}{4}[/tex]
= [tex]\frac{44+35}{20}[/tex]
= [tex]\frac{79}{20}[/tex]
= [tex]3\frac{19}{20}[/tex] .
Hence, on solving the given expression, the answer is [tex]3\frac{19}{20}[/tex] .
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two minor league baseball players got a total of 378 hits. washington had 4 more hits than sanchez. find the number of hits for each player.
Use the digits 3,7,1 and 5 to write a number that rounds to 1,700
What is 0.000000783 written in scientific notation?
Enter your answer in the box.
=7.83 × 10-7
Step-by-step explanation:
Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work
The diameter of the average cell in the human body is 1 x 10-5 meters
Since we are given that:
1 meter = 1 x 10^9 nanometers
We can use the conversion factor:
1 x 10^9 nanometers / 1 meter
Therefore:
diameter = 1 x 10^-5 meters * (1 x 10^9 nanometers / 1 meter)
diameter = 10,000 nanometers
Rachel flips a coin 150 times and finds that the probability of the coin landing heads up is Rachel wants to flip the same coin 15 more times. On the first 14 flips, the coin lands heads up. Which statement best describes the probability of the coin landing heads up on the 15th flip?
a.The probability of the coin landing heads up is
b.The probability of the coin landing heads up is 1.
c.The probability of the coin landing heads up is
d.The probability of the coin landing heads up is
every coin flip, it has a 1/2 probability of landing on heads.
it doesn't matter what the flips were before it.
Probability is 1/2
What is 50= 28.10 + 0.15m
How to convert 8.5 hours to hours and minutes
Final answer:
To convert 8.5 hours to hours and minutes, we use the conversion factor that there are 60 minutes in an hour. Multiplying 0.5 hours by 60 minutes gives us 30 minutes, so 8.5 hours is equivalent to 8 hours and 30 minutes.
Explanation:
To convert 8.5 hours to hours and minutes, we need to understand that there are 60 minutes in one hour. The integer part of 8.5 hours is 8 hours. The decimal part (0.5) represents the fraction of an hour. To find out how many minutes are in 0.5 hours, we multiply by the number of minutes in one hour (60 minutes).
0.5 hour × 60 minutes/hour = 30 minutes.
Therefore, 8.5 hours is equivalent to 8 hours and 30 minutes. This process of conversion makes use of the conversion factors such as 24 hours per day, 60 minutes per hour, and 60 seconds per minute.