The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
The given decimal number is 9.78778777....
We need to check whether the given decimal number is a rational or irrational number.
What are rational and irrational numbers?Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.
So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.
Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
To learn more about rational and irrational numbers visit:
https://brainly.com/question/3386568.
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I will give you 5 stars and a brainlist.
Answer:
D.
Step-by-step explanation:
Answer: D.
this is the correct answer! pls give the other person who answered before me brainiest! (trying to help em out lol)
In the equation below identify the y- intercept
21. Given that f(x)= x^3– x² + 5x and g(x)= x^3 +5x^2 –2 determine
(g-f)(x)
Answer:
(g - f)(x) = 6x² - 5x - 2
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x³ - x² + 5x
g(x) = x³ + 5x² - 2
(g - f)(x) is g(x) - f(x)
Step 2: Evaluate
Substitute: (g - f)(x) = x³ + 5x² - 2 - (x³ - x² + 5x)Distribute -1: (g - f)(x) = x³ + 5x² - 2 - x³ + x² - 5xCombine like terms: (g - f)(x) = 6x² - 5x - 21. A right triangle is shown.
25 cm
7 cm
Based on this information, what is the length of the base of this triangle?
HELP PLS I BEG YOU
Answer:
24 is the answer
Step-by-step explanation:
answer is 24 for base
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point
(6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
I realize that the equation is different, but do it in the same way, it'll help! It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.
need help asap
hsjshsuehdue
what is the range of the data 79, 52, 85,94, 71, 82, 84, 66, 58, 98, 72, 100
Answer:
48 pllz can i have brainiest plzz
Step-by-step explanation:
Answer:
48 is a answer
Step-by-step explanation:
formula for range is highest - lowest
100 - 52
48
what is 100,000,000,000,000,000, divided by 100
Answer:
1e+14
Step-by-step explanation:
[tex] - 20x - 5[/tex]
what does equal
[tex]x[/tex]
i still need help im the highest in class but need help
Answer:
A 16%
Step-by-step explanation:
What is 180 pi divided by 420 pi simplified?
Answer:
3/7
Step-by-step explanation:
-2/3h-4=4/3
a. -3
b.-8
c.3
d.8
Answer:
its b
Step-by-step explanation:
Which step contains an error?
O step 2
O step 4
O step 6
O step 8
Answer:
C
Step-by-step explanation:
Step 6
What is the opposite of
V3?
HURRY!!!!!
Answer: V^3
V times V times V
Step-by-step explanation:
I think?
How do linear and exponential functions compare over time?
Answer:
Exponential Functions
In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier—it will never be the same, but there will be a pattern.
SOMEONE HELP!! PLEASE
The train travels 50 miles per hour. On the graph, it shows the distance going up by one hundred every two hours. One hundred divided by two is fifty.
The average teenager spends 2.9 hours a day watching television. How much time do they spend each week watching television?
Answer:They spend 8 hours
Step-by-step explanation:2.9 times 3
Ashley is a software saleswoman. Her base salary is $1,500, and she makes an additional $60 for every copy pf history is fun she sells. Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 23 copies of History is Fun
Answer:
2,880
Step-by-step explanation:
P + 60N = x
1500 + 60(23) = x
1500 + 1380 = x
2880 = x
A train traveling at a speed of 20mph departs from Manhattan and heads towards New Jersey. At the same time, a train heading to Manhattan from New Jersey is departing at the same time, and will be going 40mph. If the two places are 120 miles apart, how far from New Jersey will the trains meet?
E. 40 miles F. 60 miles G. 80 miles H. 100 miles
PLS ANSWER WITH THE WORK..... THE ANSWER IN THE ANSWER SHEET IS G 80 MILES BUT I NEED THE WORK ON HOW TO GET TO TE ANSWER.
They will be at exactly 80 miles because the train going from Manhattan to jersey and the train going from Jersey to Manhattan meet at 80 because 60 is the halfway stop and the train going from Jersey is 20 mph more. Therefore, 80 mph is the answer
Hope this helps!
Write the equation of the line given the following: Passes through (-2, 7) and is parallel to the graph y=-8x-2.
Answer:
y = -8x+9
Step-by-step explanation:
7 = -8(-2) - b
7 = 16 - b
-9 = -b
b = 9
y = -8x+9
A spinner can land on either red, blue, green, or yellow. You spin once.
Find the number of possible outcomes in the sample space.
Please show me how to solve this.
Answer:
You have a 25% chance on landing on any of the colors
Step-by-step explanation:
You Look at all of the posible ways you can land on which is Red, Blue, Green, and Yellow there are four colors in the spinner if you divide the number of colors (4) and divide it by 100 you will get 25 and that is your answer
Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
here, we have,
In this problem,
You Look at all of the possible ways you can land on which is Red, Blue, Green, and Yellow
there are four colors in the spinner
if you divide the number of colors (4) and divide it by 100
you will get 25 and that is your answer
Hence, Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors.
More can be learned about sample spaces at brainly.com/question/25861936
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What is the result of 4 ➗8/12
A) 1/6
B) 3/8
C) 3
D) 6
This is an edge unit test with 1 hour left please help me
Answer: D
Step-by-step explanation:
1. There are 3 boys for every 6 girls at a
movie. If there are 24 girls, how many
boys are at the movie?
Boys
Girls
3
24
There are
boys at the movie.
Answer:
3 boys for 6 girls.
Answer- 12 boys for 24 girls
Answer:
[tex]*[/tex] [tex]12[/tex] [tex]*[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]There[/tex] [tex]are[/tex] [tex]12[/tex] [tex]boys[/tex] [tex]because:[/tex]
[tex]\frac{24}{6}[/tex] = [tex]4[/tex]
[tex]--------------------------------------------[/tex]
[tex]and[/tex] [tex]4\cdot3[/tex] = [tex]12[/tex]
[tex]which[/tex] [tex]equals[/tex] [tex]12[/tex] [tex]boys.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
,,,,,,,,,,,,,,,,,,,lllllllll..........
Answer: 7
Step-by-step explanation: The opposite of Multipication is division so divide 84 by 12
Answer:
k=7
Step-by-step explanation:
Call me weird but I love these types of questions.
Ok to solve this here's what you need to do.
Your solving for k right?
So make an equation.
Product is the result of multiplication so 12 and k would be 12k.
It needs to equal 84 so 12k=84
Now you need to get rid of 12.
You need to use the opposite operation as the number your trying to get rid of. In this case it would be division.
[you do not divide the x because you need it alone on one side]
So 12k divided by 12 = 84 divided by 12
12k/12 is k because a number divided by itself is 1.
84/12 is 7.
that leaves us with k=7
Thats it!
If you need further help don't be afraid to reach out and I hope this helped! <3
4/5 as a decimal plsss help
Can someone please help this exam is timed!!
all real numbers
all real numbers greater than or equal to -2
all real numbers greater than or equal to -5
all real numbers greater than or equal to 0
Answer:i think all real numbers greater than or equal to -2
Step-by-step explanation:
hope this helps
A puppy weight increases by 15% each week for the first 6 months. The puppy currently weight 3.7 pounds. which expression will not calvulate how much the puppy will weigh in 1 week? A) 3.7(0.15) B) 3.7(1.15) C) 3.7 + 3.7(0.15) D) 3.7 + 0.555
Answer:
B) 3.7(1.15)
Step-by-step explanation:
what is the value of (-0.7)(6.0)
Answer: Look below
Step-by-step explanation: its not letting me put the answer in its said its i
Write 3 9/10 as an improper fraction.
Answer:
39/10
Step-by-step explanation:
Answer:
39/10
Step-by-step explanation:
to make 3 9/10 an improper fraction all you have to do is take the whole number-3 and take the denominator-10 and multiply them 3 x 10 = 30, then add it to the numerator 9 + 30 equals 39 this is your new numerator
find the x in the given triangle, step by step explanation please
Answer:
x = 42.67
Step-by-step explanation:
x + 2x + 7 + 45 = (3 - 2) * 180
3x + 52 = 180
- 52 - 52
3x = 128
/ 3 / 3
x = 42.67