Answers
Given
Commutative Property
Find
Explain and give example of commutative property
Explanation
Commutative Property states that the change in the order of two numbers while adding and multiplying them does not affect the result.
Commutative Property of Addtion : It states that changing the order of the addends does not change the value of the sum.
example :
3 + 4 = 7
4 + 3 = 7
so ,
3 + 4 = 4 + 3 = 7
Commutative Property of Multiplication : It states that the order in which we multiply two numbers does not change the final product.
Example :
3 * 4 = 12
4 * 3 = 12
so ,
3 * 4 = 4 * 3
Final Answer
Hence , Commutative Property states that the change in the order of two numbers while adding and multiplying them does not affect the result.
Examples :
\(\begin{gathered} 3+4=4+3 \\ 3\times4=4\times3 \\ \end{gathered}\)Related Questions
please help! thank uu!~
Answers
The intermediate step in the form (x+a)²=b as a result of completing the square for the given equations is (x+4)²=18.
The given quadratic equation is x²+4x-9=-4x-7.
Here, x²+4x-9+4x=-7
x²+8x=-7+9
x²+8x=2 ------(i)
Choose coefficient of x, that is 8.
Half of coefficient of x is 4.
Take square of 4, that is 4²=16
Add 16 to both the sides of the equation, we get
x²+8x+16=2+16
(x+4)²=18
Therefore, the intermediate step in the form (x+a)²=b as a result of completing the square for the given equations is (x+4)²=18.
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MARKING AS BRAINLIST PLS HELP!! 15 points ASAP
Answers
Answer:
Set your calculator to Degree mode.
55^2 = 90^2 + 50^2 - 2(90)(50)cos(C)
3,025 = 10,600 - 9,000cos(C)
-7,575 = -9,000cos(C)
cos(C) = 101/120
C = cos^-1 (101/120) = 32.7°
Which graph shows a function increasing at a varying rate? Explain your choice.
Answers
Therefore , the solution of the given problem of graph comes out to be line is the right response C.
What is graph?Graphs are used by mathematicians to logically represent or chart claims or values in such a visual manner. A graph point typically depicts the relationship among both two or more things. A specific type of non-linear train assembly made up of nodes and lines is known as a graph. Glue ought to be used to connect the boundaries, also known as nodes. In this network, the node numbers were also 1, 2, 3, but also 5, whereas the edge numbers are 1, 2, 3, but also 4, as well as (2.5), (3.5), (4.5), and (4.5). (4.5).
Here,
The graph demonstrating a function growing at a variable rate is one in which the slope of the line has been steeper in some locations and less steep in others.
We can see from the provided graphs that only graph (C) exhibits a rising function with a variable rate.
The line is steep and indicates a rapid rate of growth on the left side of the graph.
The line becomes less steep as we travel to the right side of the graph, suggesting a slower rate of increase. As a result, the function is growing at a variable pace.
Graphs (A) and (B) on the other hand, show an increase that is consistent over time. Given that it has a decreasing portion, graph (D) isn't even an increasing function.
Therefore, line is the right response (C).
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I need all the roots of the graph
Answers
Answer:
It looks to be -4, -2, 1, and 3
Sandra has a bag of animal cookies. The bag contains the cookies below. What is the probability that Sandra chooses a bear cookie first, eats it, and thenselects a lion cookie?9 lions5 elephants 3 tigers9 Bears 18/5218/5181/65081/676
Answers
ANSWER:
The probability of choosing a bear first then a lion is 81/650
SOLUTION:
This is a permutation and probability problem
The total cookies are 26
The combination for the total cookies is 26 * (26-1) = 26*25
The permutation for choosing a bear then a lion is 9 * 9
The probability is the permutation of choosing the bear over the permutation in total combination for total cookies
\(\frac{9\times9}{26\times25}=\frac{81}{650}\)7.15z + 2.3z = ?z i hate math
Answers
Answer:
9.45z :)
Step-by-step explanation:
Given AC and BD bisect each other at O prove AC is congruent to c
Answers
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
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what fraction is equivalent to 1.5/9
Answers
Answer:
1.5/9 = 1 1/2 / 9 = 3/2 /9 = 3/18 = 1/6
Step-by-step explanation:
The fraction that is equivalent to 1.5 / 9 is expressed as:
3/18.
How to Find the Equivalent Fraction?Equivalent fractions are different fractions that represent the same value or proportion, although they may have different numerators and denominators.
To find an equivalent fraction for 1.5/9, divide both the numerator and denominator by their greatest common divisor (GCD), which in this case is 0.5.
Dividing 1.5 by 0.5 and 9 by 0.5, we will have the following:
(1.5 ÷ 0.5) / (9 ÷ 0.5) = 3/18
Hence, the equivalent fraction for 1.5/9 is 3/18.
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Organize the following data in a stem-and-leaf plot.
219 151 199 186 170 186 194
184 196 185 174 186 197 170
178 179 182 193 195 171
b) Use your stem-and-leaf plot to determine the median and the mode.
C)Calculate the mean of the data.
Answers
```
15 | 1
17 | 0 0 1 4
18 | 2 4 5 6 6
19 | 3 4 5 6 7 9
```
b) To find the median, we need to put the data in order from least to greatest:
```
151 170 170 171 174 178 179 182 184 185 186 186 186 193 194 195 196 197 199 219
```
There are 20 numbers in the data set, so the median is the average of the 10th and 11th numbers:
```
Median = (185 + 186) / 2 = 185.5
```
To find the mode, we look for the most common value in the data set. In this case, the stem-and-leaf plot shows that there are two modes: 186 and 170.
c) To calculate the mean, we add up all the numbers and divide by the total number of numbers:
```
Mean = (219 + 151 + 199 + 186 + 170 + 186 + 194 + 184 + 196 + 185 + 174 + 186 + 197 + 170 + 178 + 179 + 182 + 193 + 195 + 171) / 20
Mean = 1849 / 20
Mean = 92.45
```
Therefore, the mean of the data is 92.45.
Question 2
A box contains 22 coloured pencils.
6 pencils are pink, 9 pencils are blue and 7 pencils are yellow.
Write down the ratio pink pencils : not pink pencils.
Give your answer in its simplest form.
Answers
Answer:
3/8 or 3:8
Step-by-step explanation:
pink : not pink
6 : 16
Think of it as a fraction. Simplify it in the same way.
6/16 simplifies to 3/8
So the pink:notpink ratio is 3/8 or 3:8
when simplified it becomes 3:8
Convert the polar equation r
4 = 2 sin θ cos θ into an equation in Cartesian (rectangular) coordinates.
Answers
The Cartesian equation of the polar equation r = 4 sin(θ)cos(θ) is:
x = 4 cos²θ sinθ
y = 4 sin²θ cosθ
We have,
We can use the following conversions from polar to Cartesian coordinates:
x = r cosθ
y = r sinθ
To convert the polar equation r = 4 sin(θ)cos(θ) into Cartesian coordinates, we substitute r with its equivalent value 4 sin(θ)cos(θ) and use the above conversions:
x = (4 sinθ cosθ) cosθ
y = (4 sinθ cosθ) sinθ
Simplifying these expressions, we get:
x = 4 cos^2θ sinθ
y = 4 sin^2θ cosθ
The Cartesian equation of the polar equation r = 4 sin(θ)cos(θ) is:
x = 4 cos^2θ sinθ
y = 4 sin^2θ cosθ
or, in standard form:
x = 4xy
This is the Cartesian equation in terms of x and y, obtained by replacing sinθ and cosθ with x and y, respectively.
Thus,
The Cartesian equation of the polar equation r = 4 sin(θ)cos(θ) is:
x = 4 cos²θ sinθ
y = 4 sin²θ cosθ
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The height of a building, measured in feet, is an example of:_______.
a. qualitative data
b. either qualitative or quantitative data
c. feet data
d. quantitative data
Answers
Answer:
Option d (quantitative data) is the correct choice.
Step-by-step explanation:
Quantitative data seems to be a collection or kind of data which is concerned regarding quantitative information or methods. That indicates its value, as well as the condition, could be represented arithmetically. All evidence that can be quantified, checked, and suitable for statistical analysis categorizes as quantitative methods.The remaining three options do not apply to the specified scenario. Therefore the description made will serve as an example of quantitative data.
12 -4x = -8x wat i s te answer to tis
Answers
Answer:
-3 =x
Step-by-step explanation:
12 -4x = -8x
Add 4x to each side
12 -4x+4x = -8x+4x
12 = -4x
Divide each side by -4
12/-4 = -4x/-4
-3 =x
emily has saved 75.25 so far for a new phone. the cell phone that she want costs 102.19 How much more money does she need to purchase a phone
Answers
Answer:
emily has saved 75.25 so far for a new phone. the cell phone that she want costs 102.19
How much more money does she need to purchase a phone?
The Correct Answer Is $ 26.94
xXxAnimexXx
Have a great day!
A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10 a pound. How many pounds of wooden blocks and plastic bricks should be used to make a 10-pound mixture that would sell for $80?
Answers
Answer: 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Step-by-step explanation:
Let x = Quantity of wooden blocks.
y = Quantity of plastic bricks.
As per given , we ahve
5x+10y=80 (i)
x+y=10 (ii)
Multiply 5 on both sides of (ii), we get
5x+5y=50 (iii)
Eliminate (i) from (iii), we get
5y=30
⇒ y= 6
Put y=6 in (ii), we get
x+6=10
⇒ x= 10-6= 4
Hence, 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Rose has a savings account. Every month she deposits $20 in it. The graph shows the relationship between the months and the balance of Rose’s savings account. Write an inequality to show when Rose will have more than $160 in her savings account. Explain your answer.
Answers
The graph shows that Rose's savings account balance increases by $20 each month.
How to explain the informationThe balance of her account after m months is 20m dollars. We want to find an inequality that shows when 20m>160, or when m>8.
Therefore, the inequality that shows when Rose will have more than 160 dollars in her savings account is m>8.
Here is a table of values that shows that Rose will have more than 160 dollars in her savings account after 8 months:
Month | Balance
------- | --------
1 | 20
2 | 40
3 | 60
4 | 80
5 | 100
6 | 120
7 | 140
8 | 160
In conclusion, the graph shows that Rose's savings account balance increases by $20 each month.
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Round your answer to the nearest 10th
Answers
Answer:
Step-by-step explanation:
sry ion no 11
At 1800 hours an IV is infusing at a rate of 20 gtt/min. How much can you expect the patient to receive during the next 7 hours and 20 minutes given a drop factor of 16 gtt/mL? Round your answer to the nearest mL.
Answers
..Given:
\(\begin{gathered} R=20\frac{gtt}{\min } \\ T=7\text{hours and 20minutes} \\ F=16\frac{\text{gtt}}{mL} \end{gathered}\)To Determine: The number of mL
Calculate the total number of gtt for the time given
\(\begin{gathered} 1\min =20\text{gtt} \\ 7\text{hours and 20minutes=7}\times60\min utes+20\min utes=420+20=440\min utes \\ 440\text{minutes}=440\times20gtt=8800gtt \end{gathered}\)using the drop factor
\(\begin{gathered} 16\text{gtt}=1mL \\ 8800\text{gtt}=8800\times\frac{1}{16}mL=550mL \end{gathered}\)Hence, the mL the patient would receive is 550mL
a
Ms. Gardner is thinking of a number.
The number is not odd.
The sum of its digits is divisible by 7.
The number is a multiple of 13.
It is greater than 4.5.
It is a multiple of 4.
It is less than 7.8 +23.
What is the number? Is more than one answer possible?
The possible number(s) is/are I
(Use a comma to separate answers as needed.)
needed
Answers
Based on the information provided, it can be inferred that the number Mrs. Gardner thought of is 52.
How to find the number that Mrs. Gardner thought of?To find the number we must take into account all the clues they give us, for example:
It is not odd, so we know the number is even.
The sum of their numbers is 7.
1 + 6, could be 16 or 612 + 5, could be 25 or 523 + 4, could be 34 or 43It is a multiple of 13.
The only possible multiple of 13 is 52.52 ÷ 13 = 4Is greater than 4 × 5 = 20
52 > 20It is a multiple of 4.
52 ÷ 4 = 13It is less than 7 × 8 + 23 = 79.
52 < 79Based on the above, the number Mrs. Gardner thought of is 52.
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Someone help
A)17/15
B)15/17
C)17
D)8/17
E)17/8
Answers
Answer:
B) 15/17
Step-by-step explanation:
You want the sine of acute angle A in the right triangle shown.
SineThe sine of the angle is the ratio ...
Sin = Opposite/Hypotenuse
We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)
The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.
CheckThe value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.
Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.
The sine of angle A is 15/17.
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Find the average rate of change for the function f(x)=3x+17
Using the intervals of x=3 to x=6
Show ALL your work to receive credit
Answers
Answer: what unit is this?
Step-by-step explanation:yeah I’ll need the unit to solve this question
The equation for the line shown in the graph below is y= 2x + b in slope intercept form.
What is the value of b?
Answers
Answer:
-3
The y-intercept is where the line touches the y-axis
On the graph the line touches the y-axis at y=-3
Therefore the y-intercept is y=-3
Help
Find a if A = 8a
Answers
Answer:
a(A) = 0
Step-by-step explanation:
Helpppppppppp sjsndkejsnsnsb
Answers
Answer:
18.8 fleck dickon Dunn dream fun deep
.The Tigers scored nine times fewer points than the Eagles. The Tigers
scored 18 points. How many points did the Eagles score
Answers
Answer:
2
Step-by-step explanation:
18/9=2
its 9 times fewer than 18
HELP!
Freediving means diving without the aid of breathing equipment. Suppose that an athlete free dives to an elevation of -42 meters in 60 seconds. Find the average rate of change in the diver's elevation
Answers
Answer:
- 0.7 m/s
Step-by-step explanation:
Because we are talking about "elevation", we assume that going upwards will result in a positive elevation change and going downwards will result in a negative elevation change.
We also assume, since we are talking about free-diving, that he starts from the surface (i.e elevation 0 m) and he free dives to a distance of 42 meters downwards (i.e elevation of -42)
In our case, the change in elevation
= final elevation - intital elevation
= -42 - 0
= -42 m
time elapsed is given as 60 sec.
Hence rate of change of elevation
= change in elevation ÷ time elapsed
= -42 ÷60
= - 0.7 m/s
Using the table of integrals, solve
Answers
The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.
The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.
To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.
It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.
Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.
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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A
How do we solve function using table of integral?Using the table of integral, we say
∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx
u = x+7 ⇒ du = dx
= ∫sec (u) du
Expand the fraction by tan (u) + sec (u)
= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)
= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du
Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du
= ∫(i/v)dv
= In(v)
Undo substitution v = tan(u) + sec(u)
=In(tan(u) + sec(u))
= In(tan(x+7) + sec(x +7))
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What's the measure of X
Answers
180-25-85= 70°
the answer is A 70°
Mr. Griggs took his two daughters to the movies to see Frozen 2. He paid 19 dollars in all for the tickets. An adult ticket costs 9 dollars. Write and solve an equation to find how much each child ticket cost.
Answers
Answer:
19 - 9 = 2x
$5 per child ticket
Step-by-step explanation:
19 - 9 = 2x
10 = 2x
10 ÷ 2
X= 5
$5 per child ticket
Jaden and Emilia biked
88 miles from Daytona Beach to Jacksonville in
2 days. They spent 4 hours biking the first day and
6 hours biking the second day. They biked at one speed the
first day and a different speed the next day. At what speed
(miles per hour) could they have biked each day? Explain.
Answers
Answer:
7 mph, 10 mph
Step-by-step explanation:
For example, let's break up the trip into 28 miles the first day and 60 miles the second day.
They biked 28 miles the first day at 7 miles per hour.
7 miles/hour * 4 hours = 28 miles
On the second day, they biked 60 miles at 10 miles per hour.
10 miles/hour * 6 hours = 60 miles
28 miles + 60 miles = 88 miles, the distance they biked altogether.
The times are 4 hours the first day and 6 hours the second day.
The speeds were 7 mph and 10 mph, 2 different speeds.