Final answer:
The property illustrated in the equation is the Commutative Property of Addition. It states that the order in which numbers are added does not affect the sum.
Explanation:
The equation showcases the Commutative Property of Addition. This property asserts that altering the order of addends doesn't impact the sum. Specifically, the given equation, 6 + 4 + 3, demonstrates this property as it equals 6 + 3 + 4. In essence, rearranging the sequence of addends doesn't alter the total, underscoring the flexibility of addition. This fundamental property simplifies mathematical operations, allowing for easier manipulation and calculation of sums, regardless of the order in which numbers are combined.
The Commutative Property of Addition plays a pivotal role in arithmetic, streamlining calculations and enhancing mathematical efficiency.
Help ME!!!!!! The question is : Write a positive or a negative number to represent each situation.
-3 because below is less and 3 less than zero is -3
6 because sea level would be zero and 6 above is 6
-5 cause your losing 5 pounds which means its 5 less so -5
4 because say you have zero dollars then you find 4 you now have positive 4
John shot a toy rocket into the air. Consider the graph below which shows the relationship between the height of the rocket from ground level and the time elapsed.
Which statement best interprets information provided by the graph?
A. The height of the rocket changes at a constant rate for the entire time.
B. The height of the rocket increases for some time and then decreases for some time.
C. The height of the rocket remains constant for some time.
D. The height of the rocket decreases for some time and then increases for some time.
The height from the ground increases from 4 to 26, then decreases from 26 to 0.
Why the others are wrong.
A. The height of the rocket changes at a constant rate for the entire time.
The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.
C. The height of the rocket remains constant for some time.
The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.
D. The height of the rocket decreases for some time and then increases for some time.
This implies the graph decreases first then increases. However, the rocket will increase, then decrease.
which of the following is a factor of 3x^3-12x?
3x-4
x+2
x+3
x-4
Answer:
x + 2
Step-by-step explanation:
3x^3 - 12x
=3x(x^2 - 4)
= 3x(x + 2)(x - 2)
so (x+2), (x - 2) and 3x are the factors of 3x^3 - 12x
answer:
x + 2
Answer:
x + 2
Step-by-step explanation:
given
3x³ - 12x ← factor out 3x from each term
= 3x(x² - 4) ← x² - 4 is a difference of squares, hence
= 3x(x - 2)(x + 2) ← fully factorised
hence x + 2 is a factor of the polynomial
I need help with 11 please I will give 10 points
a. true
b. true
c. true
Name two streets that appear to be a parallel to each other
Need help with both plzz help with both
Parallel streets are roads that run alongside each other without intersecting. An example of this can be seen with 7th Avenue and 8th Avenue in New York City.
Explanation:In the realm of Geography, the concept of parallel streets refers to streets that run concurrently to each other without ever intersecting. Imagine two streets in your town or city that never meet regardless of how far they stretch - they maintain the same distance apart. For example, in New York City, 7th Avenue and 8th Avenue run parallel to each other on the west side of Manhattan.
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The dot plot below represents a set data. Which set of data does this represent?
Answer:
The correct answer would be (1, 3, 3, 4, 5, 6)
Step-by-step explanation:
The reason why it is this answer is because there is one X above 1, two X's above 3, one X above 4, one X above 5, and one X above six. Moving up in the numbers, depending on how many X's there are above each number, you can easily tell that the dot plot shows the data of 1, 3, 3, 4, 5, and 6.
Answer is D
Step-by-step explanation:
Write down each number there is a X on and you get the numbers for answer choice D
The recipe for Jack's Famous Chili uses 222 teaspoons (\text{t})(t)left parenthesis, t, right parenthesis of red hot chili powder for each cup (\text{c})(c)left parenthesis, c, right parenthesis of tomato sauce.
His rival, Marsha, claims her chili is spicier. She makes chili in large quantities, and uses the chart below.
Whose chili is spicier?
Chili powder (\text{t})(t)left parenthesis, t, right parenthesis Tomato sauce (\text{c})(c)left parenthesis, c, right parenthesis
444 3.53.53, point, 5
888 7.07.07, point, 0
121212 10.510.510, point, 5
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Jack's
(Choice B)
B
Marsha's
(Choice C)
C
They are equally spicy.
Answer: A=jack
Step-by-step explanation:
Answer:
Choice A (Jack)
Step-by-step explanation:
Hope this helps!
Which graph shows a graph of a circle with equation x 2 + (y+3) 2 =9
The graph of the circle is given in the image attached
To graph the circle represented by the equation x^2 + (y+3)^2 = 9, identify the center at (0,-3) and radius 3, then plot the center and draw the circle on a graph.
Explanation:The student's question relates to the equation of a circle in Cartesian coordinates and how to graph it. Given the equation x2 + (y+3)2 = 9, we can determine the center and the radius of the circle it represents. To graph the circle, first identify the center, which in this case is at (0, -3), because the equation can be written in the standard form (x - h)2 + (y - k)2 = r2 where (h, k) is the center and r is the radius. Then find the radius by taking the square root of the right side of the equation, which is 3 in this case.
Plot the center on the Cartesian graph, and draw a circle around it with a radius of 3 units, ensuring that possible points on the circle follow the equation such as (0,0), (-3,-3), and (3,-3) for instance.
What is the measure of ∠MNO?
Answer:
∠MNO = 51°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
3x + 15 + 2x + 25 + 5x + 10 = 180 ← simplify left side
10x + 50 = 180 ( subtract 50 from both sides )
10x = 130 ( divide both sides by 10 )
x = 13
∠MNO = 2x + 25 = (2 × 13) + 25 = 26 + 25 = 51°
Solve the equation, , using the quadratic formula.
Question 4 options:
x = -1 or
x = -1 or x = 2
x = 1 or
x = 1 or
Answer:
[tex]x=1\ or\ x=-\frac{1}{2}[/tex]
Step-by-step explanation:
To solve the given quadratic equation [tex]2x^2-x-1=0[/tex] you can apply the Quadratic formula, which is shown below:
[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Where:
[tex]a=2\\b=-1\\c=-1[/tex]
Therefore, when you substitute values into the Quadratic formula shown above, you obtain the following solution:
[tex]x=\frac{-(-1)\±\sqrt{(-1)^2-4(2)(-1)}}{2*2}[/tex]
[tex]x=1\ or\ x=-\frac{1}{2}[/tex]
What could be the area of a face of the rectangular prism?
A.)5m^2
B.)6m^2
C.)7m^2
D.)9m^2
The answer is B.
This is because the formula is length × width.
So the 3 formulas we would have are 2 × 4, 4 ×3, and 3 × 2.
This means your possible answers are 8, 12 and 6.
The only answer that matches up is 6 or B.
The area of a rectangular prism is [tex]6m^{2}[/tex] since option B is correct.
Definition of area of rectangular prism:The surface area of a rectangular prism may be determined using the following formula because all of its faces are rectangles and opposite faces are equal: 2 (width x length) + (length x height) + (width x height) = Surface Area
How to calculate the area of the rectangular prism?Because the formula is length x width, this is the case.2×4, 4×3, and 3×2 are the three formulas we'd have.As a result, your options are 8, 12, and 6.The only answers that are correct are 6 or B.
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are these triangles similar? if so, what postulate or theorem justifies that they are similar?
Answer:
Yes The triangles are similar by SAS Similarity Theorem
Step-by-step explanation:
we know that
Side-Angle-Side Similarity, states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar
In this problem
Angle L is congruent with Angle Z
so
Verify if the included sides are proportional
so
[tex]\frac{LJ}{ZY}=\frac{KL}{XZ}[/tex]
substitute the values
[tex]\frac{3}{1.5}=\frac{4}{2}[/tex]
[tex]2=2[/tex] -----> is true
therefore
The triangles are similar by SAS
The choir sold boxes of candy and teddy bears near Valentine’s Day to raise money. They sold 57 items altogether. Bears sold for $8.00 each and each box of candy sold for $6.00. They collected $380. How much of each item did they sell
Answer:
19 bears, 38 boxes of candy.
Step-by-step explanation:
We can use a system of equations (b = # of bears, c = # of candy boxes):
b + c = 57, 8b + 6c = 380.
We can use substitution by isolating b in the first eq.: b = 57 - c, then substitution b with 57 - c in the second eq.: 8(57 - c) + 6c = 380.
Then, we solve: 456 - 8c + 6c = 380, 76 = 2c, c = 38 candy boxes.
Finally we plug in 38 for c in the first eq.: b + 38 = 57, b = 19 bears.
Find the volume of the rectangular prism
Answer:
V = 490 cm^3
Step-by-step explanation:
V = l*w*h
V = 7*10*7
V = 490 cm^3
To find the volume of a rectangular prism, we use the formula
Volume = length × width × height.
Since the rectangular prism has a length of 10 cm, a width of 7 cm, and a height of 7 cm we can plug this information into the formula.
(10 cm) (7 cm) (7 cm)
10 × 7 = 70
70 × 7 = 490 cm³
simplify the expression 7√5-3√80
To simplify the expression 7√5-3√80, the second term is broken down and then subtracted from the first term, resulting in the final simplified answer of √5.
Explanation:To simplify the expression 7√5-3√80, we should first break down the second term, 3√80, into simpler terms.
The second term can be rewritten as 3√(4*20), since 4*20 = 80. Then this can be further broken down into 3√(4*4*5) which equals 3*2√5. In other words, 3√80 equals 6√5.
So, the original expression, 7√5-3√80, can now be rewritten as 7√5 - 6√5.
Since these two terms share the same radical, √5, you can subtract them just like you would subtract regular numbers. So, 7√5 - 6√5 equals 1√5, which simplifies further to √5.
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To simplify the given expression, we simplify the square roots and combine like terms. The expression simplifies to -5√5.
Explanation:To simplify the expression 7√5-3√80, we need to simplify the square roots.
The square root of 5 cannot be simplified further, but the square root of 80 can be simplified as the square root of 16 times the square root of 5.
Therefore, the expression becomes 7√5 - 3√16√5.
The square root of 16 is 4, so the expression simplifies to 7√5 - 3(4)√5. Continuing to simplify, we get 7√5 - 12√5.
Combining the like terms, we have (7-12)√5, which simplifies to -5√5.
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how do i find the length of side labeled y?
Answer:
y = 3
Step-by-step explanation:
The side labeled 'y' is the 'adjacent side' of the 30° angle. The hypotenuse of this right triangle is 2√3.
The trig function relating this 30° angle, the 2√3 hypotenuse and the adj. side labeled 'y' is the cosine:
adjacent side y
cos 30° = ---------------------- = --------- , and the value of cos 30° is (√3)/2.
2√3 2√3
Solving for y, we get 2√3 (√3)/2, or y = 2(3)/2, or y = 3
f(x) =
x^2/
(x^2 − 9)
Where is the auction increasing and decreasing?
Critical numbers= 2
Answer:
Step-by-step explanation:
The first thing to do is get a graph of the function if you can.
The graph helps you see the following.
The critical points are at +/- 3The graph is increasing from -∞ ≤x<-3 Watch that you do not include - 3The graph is increasing form -3<x<0The graph is decreasing from 0<x<3The graph is decreasing from 3<x<∞Answer:
Increasing: on the interval of x: (-∞, 0)
Decreasing: on the interval of x: (0, ∞)
Step-by-step explanation:
See attached photos, one is done using calculus, the other is done using the graph. (I'm not sure which level of math you are in)
*For the graph, you can see that f(x) is always increasing from (-∞, 0), and always decreasing from (0, ∞)
Please please help me I am struggling !
1/6 1/2 5/6 what’s next and what’s the rule ??
Answer:
7/6
Step-by-step explanation:
The sequence is an AP the rule is common difference it's called arithmetic progression.
1+2-3-4+5+6-7-8+...-60
A) -60
B) -30
C) 0
D) 36
E) 60
Answer and explanation please!
Answer:
I'm not sure you put the right information for this one, because
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36
so, to find the next number that equals 60, we have to subtract 60 to 36.
60 - 36 = 24
The answer to this question is zero 0
The point ( -6 , 8 ) is reflected across the y axis. What is the coordinates of the reflection
The new coordinations would be (6,8)
Answer:
(6, 8)
Step-by-step explanation:
The y- axis (the vertical axis) acts as a mirror point. When reflecting over the y axis, the y value will stay the same. Think about looking into a mirror on your wall, your height is the same on both sides of the vertical reflecting object
The x-value will change and be the other side of the y-axis. It will be the same distance away from the y-axis that is was, but will have an opposite sign.
Here is was 6 units to the left of the y-axis (where x values are negative), now it is 6 units to the right of the y-axis (where x values are positive)
A triangle has side lengths 14,48, and 50 is it an acute angle an obtuse angle a right angle or no solution.
Answer:
No solution, a triangles angles must measure up to 180 degrees, and that clearly isnt close to it. Therefore, the answer is no solution. An obtuse is an angle greater than 90 degrees, whereas an acute is less.
Step-by-step explanation:
What is the final amount if 1920 is increased by 5% followed by a further 15% increase? Give your answer rounded to 2 DP.
2318.4 is the correct wander
Explain how you can prove that three weeks is less then 24 days
Answer:
7 is the number of how many days are in a week. So 7 x 3 is 21. That is less than 24 days. 24 days is 3 weeks and 3 days.
Step-by-step explanation:
Well, there is 7 days in a week.
So, in 3 weeks, there are 3 times more days than 7 days.
Therefore, there are 21 days in three weeks, and 24 days are more than 21 days, or three weeks.
Simplify to create an equivalent expression 6(7-3y)+6(y+1)
Answer:
6(7 - 3y) + 6(y + 1) = 42 - 18y + 6y + 6 =
-12y + 48 = 12(4 - y)
The expression 6(7-3y)+6(y+1) simplifies to 48-12y by distributing the 6 and combining like terms.
Explanation:To simplify the expression 6(7-3y)+6(y+1), we need to apply the distributive property and then combine like terms.
First, distribute the 6 into the parentheses: 6×7 - 6×3y + 6×y + 6×1.This simplifies to: 42 - 18y + 6y + 6.Then combine like terms (-18y and 6y): 42 - 12y + 6.Finally, add the constants (42 and 6): 48 - 12y.The simplified equivalent expression is 48 - 12y.
To check that the expression is reasonable, you can substitute values for y and see if the original and the simplified expressions yield the same result.
Thus, for the given equation, the result is obtained as: 48 - 12y.
Which of the statements below is true for the following set of numbers? 20, 15, 50, 85, 75, 60
The option (D) the range is 70 and the midrange is 35 is correct option (D) would be correct.
What is the range?It is defined as the difference between the maximum value in the data set to the minimum value in the data set.
The range is a quick yet effective technique to understand the distribution of the numbers in the data collection. Furthermore, since it simply calls for a simple arithmetic operation, it is simple to calculate. The standard deviation, a different measure of spread, can also be estimated using the range.
Range = max value - min value
Range = 85 - 15
Range = 70
Mid range = 70/2 = 35
Thus, the option (D) the range is 70 and the midrange is 35 is correct option (D) would be correct.
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Without specific statements to evaluate, we can't determine which is true for the set of numbers given. These numbers could represent heights in inches, and more context is needed to provide an accurate answer.
Explanation:The student may be asking which statement regarding the listed set of numbers is true. These numbers are 20, 15, 50, 85, 75, 60. Without knowing the specific statements, we cannot definitively say which one is true or false. However, we can examine the statistics provided for a different data set of students' heights and base our answer on typical statistical questions.
A true statement about this set could be related to trends, averages, medians, modes, ranges, or any other statistical measure. For example, if asked whether this set of numbers could represent a set of heights, the answer could be true, assuming these numbers are in inches since all fall within a plausible range of human heights.
More context or specific questions about the data set would be needed for a more precise answer. The reference information about the heights of students, percentile data, and uniform distributions provide examples of typical problems in a statistics class.
What are the steps she used ?
The students at the engineering conference ate more than 20 pizzas. The inequality x > 20 represents the situation. Which graph represents the inequality?
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x----> the number of pizzas
we know that
The inequality that represent the situation is
[tex]x>20[/tex]
The solution is all real numbers greater than 20
In a number line the solution is the shaded area to the right of the dashed line at x=20 (open circle)
see the attached figure
Answer:
A
Step-by-step explanation:
Hope this helps Bai! I did it on edg btw! <3
2(a-1) (a+6) Please Is important
Answer:
2a² + 10a - 12
Step-by-step explanation:
To expand 2(a - 1)(a + 6), first expand the parenthesis
= 2(a² + 6a - a - 6)
= 2(a² + 5a - 6) ← distribute the terms in the parenthesis by the 2 outside
= 2a² + 10a - 12
PLEASEEEEEEE HELP ME!
Answer:
DC = 6
Step-by-step explanation:
Given in the question,
radius = 3x
tangents to the circle = 12 + 5x and 8 + 7x
If you draw line from A to D, two right angle triangle will be form ADC and ADB
having radius = 3x
By using pythagorus theoremhypotenuse² = base² + height²Since, both triangle share same hypotenuse AD
so,
ΔADC ΔADBbase² + height² = base² + height²3x² + (8 + 7x)² = 3x² + (12 + 5x)²
3x² will be cancel out
(8 + 7x)² = (12 + 5x)²
64 + 112x + 49x² = 144 + 120x + 25x²
rearranging like terms
49x²-25x² +112x - 120x + 64 -144 = 0
24x² - 8x - 80 = 0
(x- 2)(x + 5/3)
x = 2
x = -5/3 rejected as radius can't be negative
So,
length of radius = 3x = 6