Plot √2 and √3 on the number line.
Which statements are true? Check all that apply.
StartRoot 2 EndRoot < 2
StartRoot 2 EndRoot < StartRoot 3 EndRoot
StartRoot 2 EndRoot > 1.5
StartRoot 3 EndRoot < 3
StartRoot 2 EndRoot is about 0.5 less than StartRoot 3 EndRoot.
StartRoot 3 EndRoot is about 0.3 greater than StartRoot 2 EndRoot.
Answers
Answer:
The statements (1), (2), (4) and (6) are true.
Step-by-step explanation:
Consider the diagram below for the number line.
The first statement is: [tex]\sqrt{2}<2[/tex]From the number line it is clear that the above statement is true.
The second statement is: [tex]\sqrt{2}<\sqrt{3}[/tex]From the number line it is clear that the above statement is true.
The third statement is: [tex]\sqrt{2}>1.5[/tex]The value of √2 is 1.414. This value is less than 1.5.
So, the above statement is false.
The fourth statement is: [tex]\sqrt{3}<3[/tex]From the number line it is clear that the above statement is true.
The fifth statement is: [tex]\sqrt{2}=\sqrt{3}-0.5[/tex]The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.
Thus, the above statement is false.
The sixth statement is: [tex]\sqrt{3}=\sqrt{2}+0.3[/tex]The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.
Implying, √3 = √2 + 0.318.
⇒√3 = √2 + 0.3
Thus, the above statement is true.
1,2,4,6 are the correct options.
Related Questions
David played a slot machine. W(t) models his winnings (in dollars, where a negative number means David is losing) as a function of time t (in hours).
When did David's winnings decrease faster?
A. Between 1 and 4.5 hours since he started playing
B. Between 4.5 and 6 hours since he started playing
C. The winnings decreased at the same rate over both intervals
Answers
David's winnings decrease faster Between 4.5 and 6 hours since he started playing. so option B is correct.
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
David played a slot machine.
W(t) models his winnings (in dollars, where a negative number means David is losing) as a function of time t (in hours).
Lets calculate the average rate of change of W(t).
ARC ( 1, 4.5)
[tex]W(t) = \dfrac{W(4.5)- W(1)}{4.5-1}\\\\W(t) = \dfrac{-70}{3.5}\\\\W(t) = -20\\[/tex]
ARC( 4.5, 6)
[tex]W(t) = \dfrac{W(6)- W(4.5)}{6-4.5}\\\\W(t) = \dfrac{-51}{1.5}\\\\W(t) = -34\\[/tex]
Thus, the average rate of change over the interval ( 4.5, 6) is greater than the average rate of change over the interval ( 1, 4.5).
Hence, David's winnings decrease faster Between 4.5 and 6 hours since he started playing.
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Rafael is wrapping presents for his sister's birthday party, but he is unsure how many feet of wrapping paper is left on the roll. It takes 1.3 feet of wrapping paper to wrap each gift.
If Rafael has a total of P feet of wrapping paper on the roll, which of the following expressions represents the number of presents he can wrap?
ANSWERS
A.
1.3 ÷ P
B.
1.3 × P
C.
P - 1.3
D.
P ÷ 1.3
Answers
Which correlation coefficient represents a moderate negative correlation? r = –0.04 r = –0.24 r = –0.64 r = –0.94
Answers
The correlation coefficient is a number that indicates the direction
and closeness of points of a line of best of fit.
So it tells us two things.
It tells us the direction of the line of best fit
and it tells us the closeness of the points.
Usually, anything between -0.9 and -0.6 has a moderate negative correlation. If you look at this on a graph, you will notice that the points definitely resemble a line so we say it's moderate.
It will be a negative correlation because the slope is negative.
Answer:
c. r = –0.64
Step-by-step explanation:
edgu 2020
Find the equation of the line. Use exact numbers. Please hurry
Answers
Answer:
y = -3x +7
Step-by-step explanation:
The y intercept is 7. It is where the line crosses the y axis
We also need to find the slope
We need two points (0,7) and (3,-2)
m = (y2-y1)/(x2-x1)
= (7 - -2)/(0-3)
(7+2)/(0-3)
9/-3
-3
The equation of a line is
y = mx+b where m is the slope and b is the y intercept
y = -3x +7
park ranger spent $208 to buy 12 trees.Redwood trees cost $24 each and spruce trees cost $16 each. How many of each tree did the park ranger buy? Answer: The park ranger bought 2redwood trees and ______ spruce trees
Answers
Answer:
The park ranger bought 2 redwood trees and 10 spruce trees.
Step-by-step explanation:
24 * 2 = 48
208 - 48 = 160
160 / 16 = 10
7p select which that apply
Answers
Answer:
7 times p
7 multiplied by p
The product of 7 and p
Step-by-step explanation:
The question is 7p. Usually, when a number and a variable is placed side by side, it means you are multiplying:
7 times p
7 multiplied by p
The product of 7 and p
are all your answer choices, for they all deal with multiplying 7 with p.
~
What is the value of y?
O A. Cannot be determined
O B. 60
O C. 36
O D. 120
HELP!
Answers
Answer: 60
Step-by-step explanation:
The three interior (inside) angles in a triangle will always add up to 180°.
60 + 60 + y = 180
120 + y = 180
-120
y = 60
60 * 3 = 180
Answer:
B. 60
Step-by-step explanation:
It is an equilateral triangle, meaning all sides and angles are equal. This also means that if the angle of point B is 60°, then the angle of points C and A are also 60°.
Simplify the expression where possible. (x 3y 2) 4
Answers
Answer:
4x 12y 8
Step-by-step explanation:
hopefully this helps you
The value of the solution of the expression (x³ y²)⁴ is, x¹² y⁸.
Used the rule of the exponent to solve the equation that states,
[tex](x^{m} )^n = x^{m \times n}[/tex]
[tex](xy)^{m} = x^m \times y^m[/tex]
Given that,
The expression is,
(x³ y²)⁴
Now apply the rule of the exponent to solve the equation as
[tex](x^3 y^2)^4[/tex]
It can be written as,
[tex](x^3 )^4 \times (y^2)^4[/tex]
Multiply the powers,
[tex](x^{3\times4} y^{2\times 4} )[/tex]
[tex]x^{12} y^{8}[/tex]
Therefore, the solution of the expression (x³ y²)⁴ is, x¹² y⁸.
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can someone help me find the surface area?
Answers
Your answer would be 56m².
To find the surface area, you need to add up the total number of squares that can be seen on the outside of the solid.
First you have the front end which is made up of 4 squares, and there would be another one on the same side, so this comes to 8m².
The surface on top contains 12 squares, and this would also be the same on the bottom of the solid, so you get 24m².
The surface on the right-hand side also contains 12 squares and would be doubled on the other side, so this also comes to 24m².
Therefore your final answer is 8 + 24 + 24 = 56m².
I hope this helps!
If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?
00
Answers
There are 8 students in the range 12 cm to 13.9 cm
How many students are in the range
From the question, we have the following parameters that can be used in our computation:
The data values
Also, we have
Range = 12 cm to 13.9 cm
Looking through the data values, we have:
12.1, 13.5, 12.4, 13.7, 12.0, 13.8, 12.5, and 13.1
Counting these values, we have
Count = 8
Hence, there are 8 students in this range
Graph the function f(x) = (x + 1)(x - 5). Use the drop-
down menus to complete the steps needed to graph the
function
Graph: f(x) = (x + 1)(x - 5)
y
6
-4
-2
1. Identify the x-intercepts: (-1,0) and (5,0)
2. Find the midpoint between the intercepts: (2,0)
3. Find the vertex:
4. Find the y-intercept:
5. Plot another point, then draw the graph.
Draw
Click or tap the graph to plot a point.
Answers
Answer:
Vertex is (2,-9)
Y- intercept is (0,-5)
Step-by-step explanation:
The vertex of the parabola are (2, -9).
The x-intercepts: (–1, 0) and (5, 0).
The midpoints between the intercept are (2, 0).
The y-intercept is (0, -5).
What is equation of the vertex of a parabola?The equation of the vertex of the parabola;
y = a (x - h)² + k
Where h and k are the vertexes of the parabola.
Given that;
Graph the function f(x) = (x + 1)(x – 5).
Now, Comparing this to the general form, the vertex is (2, -9).
And, The x-intercept is the point where the graph intersects the x-axis or the point where y or f(x) is 0.
f (x) = 0
(x + 1) (x - 5)= 0
x = - 1
x = 5
Thus, The x-intercepts: (–1, 0) and (5, 0).
The midpoints between the intercept are;
(- 1 + 5) / 2, (0 + 0)/2
(2, 0)
Hence, The midpoints between the intercept are (2, 0).
The y-intercept is the point where the graph intersects the y axis or the point where x is 0.
f(0) = (0+1). (-5) = 1(-5) = -5
The y intercept is (0, -5).
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Kiran, Mai, Jada, and Tyler went to their school carnival. They all won chips that they could exchange for prizes. Kiran won as many chips as Jada. Mai won 4 times as many chips as Kiran. Tyler won half as many chips as Mai.
Write an expression for the number of chips Tyler won. You should only use one variable: , which stands for the number of chips Jada won.
Answers
Answer:
Mai, Tyler Kiran,Jada ratio = 4,2,1,1Tyler is double that of Jada
So expression could be f(t) 2 x 1t x 5 = 10
Step-by-step explanation:
The expression for the number of chips Tyler won, based on the number of chips Jada won, is 2j.
Explanation:In this problem, we are asked to develop an expression for the number of chips Tyler won based on the amount Jada won. The relationships between the chips won are as follows: Kiran won as many chips as Jada (so if Jada won j chips, Kiran also won j chips), Mai won 4 times as many chips as Kiran (so Mai won 4j chips), and Tyler won half as many chips as Mai (so Tyler won 1/2 * 4j = 2j chips).
So, using j to represent the number of chips Jada won, the expression for the number of chips Tyler won would be 2j.
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Combine the like terms to create an equivalent expression:
- 2k - (-5) +1
Answers
Answer:
=−2k+6
Step-by-step explanation:
(happy to help)
Final answer:
Combining like terms in the expression -2k - (-5) + 1 results in -2k + 6.
Explanation:
Combine the like terms to create an equivalent expression:
Given expression: -2k - (-5) + 1
To combine like terms, simplify each part of the expression:
-2k stays as is.
-(-5) becomes +5.
1 stays as is.
Combining these simplified parts: -2k + 5 + 1 = -2k + 6
Given the function f(x) = -2x2 + 4x - 7, find f(-4).
-55
-7
25
Answers
Answer:
f(-4)= -55
Step-by-step explanation:
We want to find f(x), or y, when x is equal to -4.
Therefore, we can substitute -4 in for x in the function.
f(x) = -2x^2 + 4x - 7
Substitute -4 in for x
f(-4) = -2(-4^2) + 4(-4) - 7
Evaluate the exponent
f(-4)=-2(16)+4(-4)-7
Multiply -2 and 16
f(-4)= -32+4(-4)-7
Multiply 4 and -4
f(-4)=-32-16-7
Subtract
f(-4)=-55
16-16-7
-7. -7 is correct
Explain how to find the volume of any composite figure
Answers
Answer: you can find the composite figure's volume by finding the volumes of those combined rectangular prisms and adding them up.
Step-by-step explanation:
Answer:
Sample response: Look at the figure and take note of the types of three-dimensional figures that make it up. Find the volume of each figure. Add the volumes to find the total volume.
Step-by-step explanation:
.) 3x –9y=-18
What is the answer to this
Answers
Solving steps:
3x - 9y = -18
divide both sides by 3
3x - 18 + 9y
therefore, x = 6+3y
We cannot solve this further, therefore x = 6 + 3y
Write an expression to represent:
Eight less than the product of two and a number xxx.
Answers
2x - 8
Answer:
its 2x−82, x, minus, 8.
Step-by-step explanation:
4.)
5x+4y=-30
3x –9y=-18
What is the solution to this problem
Answers
[tex]5x + 4y = - 30 | \times ( - 3) \\ 3x - 9y = - 18 | \times 5 \\ \\ - 15x - 12y = 90 \\ 15x - 45y = - 90[/tex]
Now add 2 equations
[tex] - 57y = 0 \\ y = 0[/tex]
Now we need to put y into any equation
[tex] - 15x - 12 \times 0 = 90 \\ - 15x = 90 \\ x = - 6[/tex]
Answer: (-6;0)
What kind of triangle is this?
A.obtuse
B.supplementary
C.acute
D.right
Answers
Answer:
option D
Step-by-step explanation:
Since one of the three angles is 90° , it is a right triangle
An online pet store offers the hamster house shown in the figure below.
Choose all of the expressions that could be used to find the volume of the hamster house,
6 ft
4 ft
2 ft
3 ft
1 ft
A. (1 x 3 x 4) + (2 x 5 x 3)
B. (1 x 3) + (4 X 2) + (5 x 3)
C. (1 x 3 x 2) + (6 x 3 x 2)
D. 3 x (1 + 4) + 2 x (5+3)
E (3 x 4) +1(2 x 5) + 3
Answers
Answer:
D
Step-by-step explanation:
Answer: A And C ez
Step-by-step explanation:
what is the value of the expression
Answers
Answer:
Step-by-step explanation:
Multiplying bases with exponents means you have to multiply the base and add the exponent. So:
(10⁴)(5²) = 50⁶
(10³)(5³) = 50⁶
Now the equation is (50⁶/50⁶)³
Anything divided by itself will be one, so the number inside the parentheses is 1.
Now the equation is 1³, and 1x1x1 is 1.
What is the standard form of this function?
f(x) = (x - 2)2 + 6
A. f(x) = x² – 8x+10
B. f(x) = x2 - 8x + 10
C. f(x) = -x² - 6x + 10
D. f(x) = x2 - 4x + 10
Answers
Answer:
D
Step-by-step explanation:
(x-2)(x-2)+6
FOIL
Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.
Choose True or False for each statement about the equation.
It is equivalent to 15x – 3)(2x + 1) = 0. A
It is equivalent to (5x – 3)(2x + 1) = 0.
A
True
True
B
False
False
A solution of the equation is x =
A
True
True
B
False
A zero of the equation is 2.
A
True ®
True
B
False
False
please hurry
Answers
Answer:
It is equivalent to 15x – 3)(2x + 1) = 0. False
It is equivalent to (5x – 3)(2x + 1) = 0 True
Either x=-1/2 or 5/3
Step-by-step explanation:
Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.
It is equivalent to 15x – 3)(2x + 1) = 0. False
It is equivalent to (5x – 3)(2x + 1) = 0 True
When you take pull-out (2x+1), you will be left with (5x-3)
5x (2x + 1) - 3(2x + 1) = 0.
(2x+1)(5x-3)=0
Either 2x + 1 = 0
2x = -1
Divide both-side of the equation by 2
2x/2 = -1/2
x= -1/2
OR
5x-3 =0
5x = 3
Divide both-side of the equation by 5
5x/5 = 3/5
x = 5/3
Either x=-1/2 or 5/3
A map is drawn with a scale of 1/2 inch equal to 5 actual miles. If the map distance between two cities is 8 inches, what is the real distance between these cities in miles?
A. 40 miles
B. 16 miles
C. 4 miles
D. 100 miles
E. 80 miles
Answers
Answer:
E.
Step-by-step explanation:
1 / 2 : 5
8 : 80
They are directly proportional, and 1 / 2 -> 8 = 16
5 * 16 = 80
80 Miles.
The real distance between these cities is in miles if a map is drawn with a scale of 1/2 inch is equal to 5 actual miles. If the map distance between two cities is 8 inches is 80 miles.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
The distance between two cities = 8 inches,
The scale 1 / 2 inches or 0.5 = 5 miles
So for 1 inch, the actual distance will be 2 × 5 = 10 miles,
Hence, for 8 inches the distance will be = 8 × 10 = 80 miles,
Therefore, the real distance between these cities is in miles if a map is drawn with a scale of 1/2 inch is equal to 5 actual miles. If the map distance between two cities is 8 inches is 80 miles.
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If f(x) = -2x + 8 and g(x) = x + 7, what is
F•g)(2)?
Answers
which are examples of varibles
Answers
Answer: usually letters are one of the variables in math (x,y) such as 7+x=10, x+4=10
Step-by-step explanation:
an element, feature, or factor that is liable to vary or change
Need help figuring this out!
Answers
Answer:
1. 10 + 10 + 10 = 30
2. 5 + 5 + 10 = 20
3. 4 + 4 + 5 = 13
4. 5 + 9 x 2 = 23
Step-by-step explanation:
I hope this helps! Stay safe and have a wonderful day! :3
Answer:
5 + 4 + 10 = 19
Step-by-step explanation:
the boy is wearing a pair of shoes and holding two popcorns.
Answer will get the brainliest
Answers
PLEASE ANSWER (20 points) :)
Answers
Answer:
1. (x + 4)(9x + 6)
2. (3x + 6)(3x + 4)
3. (9x + 4)(x + 6)
Step-by-step explanation:
9x² + 42x + 24
9x² + 36x + 6x + 24
9x(x + 4) + 6(x + 4)
(x + 4)(9x + 6)
9x² + 30x + 24
9x² + 12x + 18x + 24
3x(3x + 4) + 6(3x + 4)
(3x + 4)(3x + 6)
9x² + 58x + 24
9x² + 54x + 4x + 24
9x(x + 6) + 4(x + 6)
(9x + 4)(x + 6)
The regular polygon with 6 sides has a perimeter of 164. Find the length of the side of
this regular polygon.
Answers
Answer:
27 1/3
Step-by-step explanation:
The polygon has a perimeter of 164 and 6 sides.
Divide 164 by 6 sides to get the side lengths for each side.
164/6 = 27 1/3
Final answer:
To find the length of a side of a regular hexagon with a perimeter of 164 meters, you divide the perimeter by the number of sides, which results in approximately 27.33 meters per side.
Explanation:
The regular polygon in question is a hexagon since it has 6 sides. To find the length of one side of the polygon, we divide the perimeter of the polygon by the number of sides it has. The formula for the perimeter (P) of a regular polygon is P = number of sides × length of one side.
Given the perimeter (P) is 164 meters, we find the length of one side (s) by dividing the perimeter by the number of sides (6).
Length of one side (s) = P / number of sides = 164 / 6 = 27.333... meters
Therefore, the length of one side of the hexagon is approximately 27.33 meters.