The irrational numbers from the list are [tex]\sqrt{ 18},\ \sqrt{78}[/tex] and [tex]\pi[/tex]
To find: all numbers that are irrational
Irrational numbers are those that cant be expressed as a ratio of integers
[tex]\frac{9}{15}[/tex]: This fraction is written as a fraction of integers 9 and 15. Thus it is a rational number.[tex]\sqrt{18}[/tex]: It can be simplified to [tex]3\sqrt{2}[/tex] and as [tex]3\sqrt{2}[/tex] cant be expressed as a fraction of integers, [tex]\sqrt{18}[/tex] is an irrational number[tex]\sqrt{9}[/tex]: The square root of 9 is 3 and 3 can be expressed as a fraction of integers 3 and 1. So, [tex]\sqrt{9}[/tex] is a rational number.[tex]\sqrt{169}[/tex]: The square root of 169 is 13. 13 can be expressed as a fraction of integers so, [tex]\sqrt{13}[/tex] is a rational number[tex]\sqrt{78}[/tex]: It cannot be simplified further and cant be expressed as a fraction of integers so, [tex]\sqrt{78}[/tex] is irrational [tex]\pi[/tex]: It has a non-terminating and non-repeating decimal expansion and so cannot be expressed as a fraction of integers. Therefore, [tex]\pi[/tex] is an irrational numberThus, the irrational numbers from the list are [tex]\sqrt{ 18},\ \sqrt{78},\ \pi[/tex]
The graph below shows the hours students spent studying and their science test scores.
Hours Spent Studying vs. Science Test Scores
A graph has hours spent studying on the x-axis and test score on the y-axis. A line has a regression equation of y = 3.1 x + 40.5.
A student gets a score of 70 on the test. Based on the trend line in the scatter plot, how much time did the student spend studying?
3.1 hours
4.5 hours
9.5 hours
40.5 hours
Answer:
4.5
Step-by-step explanation:
Just took the Test
The required time the student spends on studying is 9.5 hours. Option C is correct.
What is a scatter plot?The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.
here,
Given the regression line,
y = 3.1 x + 40.5.
Put y = 70
70 = 3.1x + 40.5
70 - 40.5 = 3.1x
x = 29.5/3.1
x = 9.51
Thus, the required time the student spends on studying is 9.5 hours. Option C is correct.
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Find x if these are similar:
7 cm, 3 cm, 12 cm, and x cm
Answer:
i want to say 28
Step-by-step explanation:
this is because 3 times 4 is 12 so i multiplied 7 by 4
Complete the missing value in the solution to the equation -4x-y=24. (__,8)
We are given y.
-4x - 8 = 24
~Add 8 to both sides
-4x - 8 + 8 = 24 + 8
~Simplify
-4x = 32
~Divide -4 to both sides
-4x/-4 = 32/-4
~Simplify
x = -8
Best of Luck!
Answer:
(56,8)
Step-by-step explanation:
-4x-y=24
-y=4(8)+24
-y=32+24
-y=56
y=56
Approximately how much fabric of each color will be needed to make a single parachute canopy?
88.5 ft
88.5 ft²
265.5 ft
265.5 ft²
Answer:b)88.5 ft squared
Step-by-step explanation:
Answer:
B) 88.5 ft²
Step-by-step explanation:
Which point on the number line represents 18?
A) E.
B) F
C) G
D) H
Answer:
E
Step-by-step explanation:
The square root of 18 is about 4.2, which means that it is slightly larger than 4. The only letter on the number line that fits this description is letter E. Hope this helps!
Point E is the location on the number that represents √18. Then the correct option is A.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The expression in the radical form is given below.
⇒ √18
We know that the value of the radical expression in the decimal number will be 4.24.
Then the location of the point will be after 4 and before 5.
The point E is the location on the number that represents √18. Then the correct option is A.
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Using the drawing Below, find all the possible situations it could be describing. Mark all situations that apply to the inequality.
A. Any temperature that is at 0°C or below will allow water to freeze.
B. Marcus saved one dollar every day from his lunch money.
C.Hank had no money for his trip so he had to keep borrowing money to make it home.
D.Carter had 5 toy cars. He gave Jamison 4 of them.
Answer:
it would be a and c
Step-by-step explanation: Because if you had a zero on a number line you would subtract 5 from the left and that would give you negative 5
In a thunderstorm, the wind velocity in meters per second can be described by the function v(p) = 5.7 √998 - p, where p is the air pressure in millibars. What is the air pressure of a thunderstorm in which the wind velocity is 49.3 meters per second?
To find the air pressure of a thunderstorm, the given wind velocity is substituted into the function and the equation is solved for the air pressure in millibars.
Explanation:To find the air pressure of a thunderstorm where the wind velocity is 49.3 meters per second, we need to substitute this given wind velocity into the given function and solve for p.
First, we equate the function v(p) = 5.7 √998 - p with the given wind velocity, so we get 49.3 = 5.7 √998 - pSecond, we isolate the square root term on one side by dividing both sides by 5.7 which gives √998 - p = 49.3/5.7Then we square both sides to get rid of the square root: (998 - p) = (49.3/5.7)² After simplifying the equation, we can solve for p, which is the air pressure in millibars.Learn more about Air pressure calculation here:https://brainly.com/question/13624217
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To calculate the air pressure during a thunderstorm with a wind speed of 49.3 m/s, use the mathematical function provided. Solve for 'p' by setting the function equal to given wind speed, isolating 'p', and calculating thereafter.
Explanation:The student's question pertains to finding an unknown in the function v(p) = 5.7 √998 - p, given that the wind velocity is 49.3 m/s. The expression given is for wind velocity in a storm, based on changing air pressure. To answer this, we need to solve the equation for 'p'.
1. First, we set the equation equal to 49.3: 49.3 = 5.7 √998 - p
2. Then we isolate the square root term by dividing by 5.7: (49.3/5.7) = √998 - p
3. After that, we square both sides to eliminate the square root: (49.3/5.7)^2 = 998 - p
4. We then isolate 'p' by subtracting the result from 998: p = 998 - (49.3/5.7)^2
Doing the calculations will give the approximate value of 'p', which is the air pressure in millibars for a thunderstorm with a wind velocity of 49.3 m/s.
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Profit definition in a number
Answer:
I'm unaware if this is what you're looking for? ♀️
Step-by-step explanation:
Your revenue minus your costs for goods or services is your gross profit. It follows a basic Sales – Cost = Profit equation. You're just subtracting a different category of cost. When you have your gross profit figure, use that number to determine your total profit. Sales – Cost = Profit
Which of the following would be the most effective means of controlling current water pollution of United States surface
waters?
Answer:
Reducing storm runoff and erosion. This would be the most effective means of controlling current water pollution of US surface waters.
Aliya draws a scale model of her mother's garden. The actual garden's measurements are 35 feet by 50 feet.
On the drawing, the length of the garden is 5 inches. What is the width of the garden on the scale drawing?
3.5 in.
2.0 in.
2.5 in.
3.0 in.
Answer:
3.5 in. if the 35 feet side is the width
Step-by-step explanation:
What are the binomial factors of the polynomial x^3-x^2-49x+49
a. (x-1),(x-7),(x+7)
b. (x+1),(x-7),(x+7)
c. (x-1),(x-7)
d. (x+1),(x+7)
Answer:A
Step-by-step explanation:
Just took the ed test
Which expression is equal to 10/√50
Please show work thx:)
so the right answer is of option B....
Answer:
√2
Step-by-step explanation:
According to the question
10/√50
So it can also be written as
10/√25×2
10/√25×√2
10/5√2
Divide both by 5
2/√2
Rationalize
2/√2 ×√2/√2
2√2/2
Divide both by 2
√2
Therefore the answer is√2
What is the surface area of the cone? Express your answer in terms of π.
Answer:
surface area of a cone = 132.935πft
Step-by-step explanation:
to find the surface area of a cone
given that
radius = 5ft
height of cone = 21ft
recall that the formulae for finding the surface area of a cone = πr( r + √ h² + r²)
so,
surface area of a cone = πr( r + √ h² + r²)
surface area of a cone = π x 5( 5 + √ 21² + 5²)
surface area of a cone = 5π ( 5 + √ 441 + 25)
surface area of a cone = 5π( 5 + 21.587)
surface area of a cone = 5π (26.587)
surface area of a cone = 132.935πft
what is the approximate area of the circle show below
Answer:
C
Step-by-step explanation:
The area of a circle can be found using
a=πr^2
First, we need to find the radius, because we have the diameter
The radius is half of the diameter
r=d/2
r=16/2
r=8
Substitute 8 in for r in the area formula
a=πr^2
a=π8^2
a=π64
a=201.06192983 cm^2
Approximately 201 cm^2, or choice C
Hope this helps!
thank you!!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
square root of 36 is 6 ^w^
u = 6
vanessa invested $2500 into an account that will increase in value 3.5% each year. write an exponential function, then find the value of the investment after 20 years
Answer: A = 2500 (1.035)^n
A= $ 4,974.47
Step-by-step explanation:
A=P(1+r)^n
A= Amount
P= Principal
R= rate
N= # of years
A= 2500(1.035)^n
N=20
2500(1.035)^20
A= 4,974.47
Please answer correctly, show all steps you did to solve this problem, and i will mark brainliest to best answer
Answer:
Since the values vary from 0.5 to 4.5, let's take 5 intervals of width 1 unit each
(Lower boundary is included, upper boundary is not)
Average
no. of --------> frequency
movies
_______ __________
0 - 1 --------------> 1
1 - 2 --------------> 5
2 - 3 --------------> 5
3 - 4 --------------> 2
4 - 5 --------------> 1
For frequencies, just count the data values in each interval
Nigel tried to solve an equation step by step.
1/2(2h-4)=20
2h−4=10 step1
2h=14 step2
h=7 step 3
What step did he FAIL on?
Answer:
the answer should be h=22 so i would say step 1
Step-by-step explanation:
The mistake was in Step 1.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The equation is
(1/2) (2h-4) = 20
2h-4 = 40
2h = 44
h = 22
The mistake was in step 1, where Nigel should have multiplied 20 by 2 and not divide it by 2.
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Please help !! I would really appreciate it
Answer:
Runner 1
Step-by-step explanation:
Runner 1's speed is the slope of the line = (20-0)/(2-0) = 10
Runner 2's speed is the slope of the line = 8.5 (the coefficient of t)
Runner 3's speed is slope = (36-18)/(4-2) = 9
The fastest pace, therefore is of runner 1, because 10>9 AND 10>8.5
Help :( look at picture
Answer: A≈201.06
We know the diamter is 8 and we're using Pi.
A=πr²
=π·8²
8 x 8 = 64
Now we multiply this by using Pi, it says Pi is 3.14. Therefore we multiply that by 64.
64 x 3.14 = 200.96
I hope this helped, have a good day!
In 2004 there were approximately 5820 cinema sites. In 2000 there were 6700 cinema sites. a. Write an equation describing the relationship. Use ordered pairs of the form (years past 2000, number of cinema sites). b.Use the equation to predict the number of cinema sites is 2009.
The equation describing the relationship between the number of cinema sites and years past 2000 is y = -220x + 6700. To predict the number of cinema sites in 2009, substitute x = 9 into the equation, resulting in a predicted value of 4720.
Explanation:To write an equation describing the relationship between the number of cinema sites and years past 2000, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, y represents the number of cinema sites and x represents the years past 2000.
The slope (m) can be found using the formula (change in y)/(change in x), and the y-intercept (b) can be found by substituting one set of ordered pairs into the equation.
From 2000 to 2004, the change in years past 2000 is 4, and the change in the number of cinema sites is -880. Therefore, the slope (m) is -880/4 = -220.
We can substitute the ordered pair (0, 6700) into the equation to find the y-intercept (b).
So, the equation describing the relationship is y = -220x + 6700, where y is the number of cinema sites and x is the years past 2000.
To predict the number of cinema sites in 2009, we substitute x = 9 (since 2009 is 9 years past 2000) into the equation:
y = -220(9) + 6700
y = -1980 + 6700
y = 4720.
Therefore, the predicted number of cinema sites in 2009 is 4720.
Which of the following measureemnts is the most percise?
A. 1 liter
B. 137 millilliters
C. 1,378 liters
D. 137 kiloliters
Answer:
B: 137 ml. (It`s the smallest unit of measurment out of all the choices)
Step-by-step explanation:
It izz wat it izzzz!!!
:)
2x - 2y = 6
3x + 2y = 9
Solve the system of equations.
A) x = 0, y = 3
B) x = 3, y = 0
C) x = 1, y = -2
D) x = -2, y = 1
Answer:
B) x = 3, y = 0
Step-by-step explanation:
I will use the subtraction method, at least i think it is the subtraction method lol:
2x - 2y = 6
3x + 2y = 9
1: Combine
5x=15
x=3
2: Substitute
2(3)-2y=6
6-2y=6
-2y=0
y=0
3: Check by pluggin answers in
2(3)-2(0)=6
6-0=6
6=6 true
3(3)+2(0)=9
9+0=9
9=9 true
DISCLAIMER: the answers might not be right, so you should check just in case and i hope this made sense, you can ask questions too.
also... i would be great if i got a brainliest because i need one more to level up but you don't have to bc i bet someone has a better explanation hehe
Choose the correct product of (8x − 4)(8x + 4).
64x^2 − 16
64x^2 + 16
64x^2 − 64x + 16
64x^2 + 64x + 16
Step-by-step explanation:
It is in the form of a² - b²
so it's correct product is
64x² - 16
so the answer is of option A.
Hope this will help u...:)
please please help me
Answer:
13 and 16 are functions.
If the x does not repeat,it is a function
Find the equation of the axis of symmetry of the following parabola algebraically:
y=-5x²+20x
Answer:
x= 2
Step-by-step explanation:
hello :
y= -5x²+20x a= -5 b= 20
the axis symmetry is the line when an equation is : x = -b/2a
x= -(20)/2(-5)
x= 2
The equation of axis of symmetry of the given parabola is x =2
What is a parabola?A parabola is a plane curve drawn so that any point on it is the same distance from the focus and the directrix.
Given is an equation of parabola, y= -5x²+20x
a= -5 b= 20
the axis of symmetry is the line when an equation is : x = -b/2a
x= -(20)/2(-5)
x= 2
Hence, The equation of axis of symmetry of the given parabola is x =2
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36 is what percent of 46
Answer:
78.26%
Step-by-step explanation:
Please help me out I know that supplimentary angles have to equal 180 but I have no idea how to solve for x since they didnt give us any angles
Answer:
x = 6
Step-by-step explanation:
13x + 2 = 12x + 8
Because of:
1) Corresponding angles
2) Vertically opposite angles
13x + 2 = 12x + 8
13x - 12x = 8 - 2
x = 6
Answer:
x = 6
Step-by-step explanation:
13x + 2 = 12x + 8
13x - 12x = 8 - 2
x = 6
Which of the following is true of the data set represented by the box plot?
box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86
Answer:
Removing the outliers would not affect the median.
Step-by-step explanation:
the sum of two numbers increased by 5
Answer:
If the sum is x, x+5
Step-by-step explanation:
The sum of the two numbers x+y = a, increased by 5, a+5.
The sum of two numbers increased by 5 to be determined.
What is the sum?The sum is defined as the addition of two or more values.
Here,
Let the two numbers be x and y.
their sum is x+y = a(let)
Now the sum is increased by 5.
=a+5
Thus, the sum of the two numbers x+y = a, increased by 5, a+5.
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