Answer:
C. Identity Property
Step-by-step explanation:
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The equation [ a + bi + 0 + 0i = a + bi ] is identity property. Then option C is correct.
What is identity property?For addition, 0 serves as the identification element. The initial number is obtained by adding any number to 0. Example ( a+0=a). 1 serves as the identity element in multiplication. The result of multiplying any number by 1 is the original number.
The expression is,
a+ bi + 0+0i = a+bi
In the above number a+bi, another zero complex number 0 + 0i is added the result is the same as before. Hence, it is identity property.
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Suppose that COP and TOD are vertical angles, m COP = 11x - 17
and m TOD = 9x + 11.
Determine the Measure of COD
Determine the measure of POT
Answer:
Step-by-step explanation:
If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.
m COP = m TOD
Given
COP = 11x - 17
TOD = 9x + 11.
Substitute:
11x-17 = 9x+11
11x-9x = 11+17
2x = 28
x = 28/2
x = 14
Get <COD
<COP = 11(14)-17
<COP = 154-17
<COP = 137
<COD = 180-<COP
<COD = 180-137
<COD = 43°
Similarly:
<POT = 180 - <TOD
<POT = 180 - [9(14)+11]
<POT = 180 - 137
<POT = 43°
what does 6 x 9 equal?
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
Question 3/3 Devon opened a bank account with $225. He saves $25
per month. What is the least amount of months it will take him to save $750?
Answer:
21 Months
Step-by-step explanation:
If he already has $225, we can do 750 - 225 to get 525. $525 represents how much more money he needs to reach his goal of $750. So we can do 525 divided by 25, since that is how much he makes per month, giving us 21. 21 is how many months it will take until he gets to $750 without spending anything.
Which ones no long answer just which one
A,C,D
(going top left to bottom right)
(a) b
(c) (d)
e f
Based on the lesson, identify the first operation needed to solve the following equation. x/11 - 2 = 3 multiplication subtraction addition division
The number 2 should be added to both sides of the given linear
equation to enable the variable x be made the subject of the equation.
Response:
The first operation that needed to solve the equation is; AdditionWhich sequence of steps are needed to solve the given equation?The given equation is presented as follows;
[tex]\mathbf{\dfrac{x}{11} - 2} = 3[/tex]
The solution of the above equation van be found by making x the
subject of the equation.
Removing the 2 from the left hand side of the equation will isolate the [tex]\dfrac{x}{11}[/tex]
, from which the value of x can be found by multiplying by 11.
First operation;
To remove the 2, we have;
2 - 2 = -2 + 2 = 0, adding 2 to both sides of the equation gives;[tex]\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2[/tex]
[tex]\dfrac{x}{11} + 0 = 3 + 2 = 5[/tex]
[tex]\dfrac{x}{11} = 5[/tex]
Second operation;
[tex]\dfrac{x}{11} \times 11 = 5 \times 11 = 55[/tex]
x = 55
The first operation that needs to be needed to solve the given equation
is therefore;
AdditionLearn more about solving equations here:
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Answer: It would be addition
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what is the expanded form of 1 to the 10th power?
Answer:
1
Step-by-step explanation:
since 1*1 will always be 1, 1 raised to any power will be 1.
I need help asap thx.
Answer:
35
Step-by-step explanation:
because the straight line is 180 so if you add 35+55=90 and 90+90=180
Answer:
35°
Step-by-step explanation:
What I did was look at ∠ABC and know that collinear is a straight line, and that a straight line is equal to 180°. Then I saw that ∠ABD was a right angle or 90° and that ∠BCE was equal to 55°, so I added those 2 together and got 145°. then I subtracted that from the 180°. because that is what a straight line equals and I got 35°. So, I would say ∠DBE is equal to 35°.
John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea
and was left with 11 crayons. How many crayons did the pack contain?
Answer:
24
Step-by-step explanation:
13+11=24
Which is the value of this expression when a=5 and k=-2?
[3^2a^-2]^k
[3a^-1]
Answer: 125/27 as a decimal 4.62963
Step-by-step explanation:
((32)(5−2))−2(3(5−1))
((32)(5−2))−2(3(5−1))
ASAP PLS Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20° more
than the measure of the second angle. What is the measure of each angle?
Answer:
80°, 40° and 60°
Step-by-step explanation:
Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)
so we will have an equation of
180°=2x + x + (20°+x)
160°=4x
40°=x
so the second angle is 40° as it is represented by just one X
therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!
Whats (2^–1)^3 with the same base but one exponent??
Step-by-step explanation:
[tex] ({2}^{ - 1} )^{3} [/tex]
[tex] {2}^{ - 3} [/tex]
........
Answer:
2^-3
Step-by-step explanation:
When multiplying two exponents with the same base, we basically add the exponents.
Which equation is true
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
a fraction is basically saying the numbers are being divided so if you do -20 divided by 2 then you would get negative 10 since a negative divided by a positive would be a negative.
The quotient of a number and 3 is less than 24
Answer:
6 is the answer
Step-by-step explanation:
I am a two digit number
My ones digit is equal to 7minus 3
My tens digit and my ones when added together equals to an even number
What number am I?
If Khalid uses 3 liters of paint to cover 8 square meters of wall. How much paint does Khalid need to paint 40 square meters of the wall.
Answer:
15l
Step-by-step explanation:
There are 5 8sq m in 40sq m
total paint is 5*3=15
Write thirty eight thousandths as a decimal
Answer:
0.0038
Step-by-step explanation:
The thousands spot is four away from the decimal so you would put the eight right there, the three in front of it, and fill in the other spots with zeros.
What is the value of x in the equation -6x = 5x + 22?
Options:
A. ) –22
B. ) –2
C. ) 2
D. )22
Thank you!
Answer:
D
Step-by-step explanation:
collect like terms and divide by -11
Find the value of x and y that satisfy both of the equalities x /y= 2/3 and y/12 = 3/4.
Answer:
x=6;y=9
Step-by-step explanation:
First you try to find y in the second equation --> y/12=3/4
You divide 12 by 4 to see how many times y/12's denominator and numerator is bigger. 12/4 is 3, so to find y you multiply 3*3. so 9/12=3/4. To check this, you multiply 3 on each side of the fraction -->
3*3=9 4*3=12.
Then, you can just put y into the first equation, which is x/y=2/3. Pluck that in, and you get x/9=2/3. Do the same thing you did in the first step, and you should get 6/9=2/3. Hope this helped :)
Answer:
x=6; y=9
Step-by-step explanation:
If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for
which f(x) = g(x) is true.
x=
y = f(x)
3
y = g(c)
2
1
1
х
-2 -1
2
3
Answer:
Examine the chart and graph.
On the left is a 5-column table with 10 rows titled Religion in North America. The first column is titled Religion with entries Christianity, Unaffiliated, Judaism, Buddhism, Islam, Hinduism, Other Religions, Folk Regions, and Total. The second column is titled 2010 population with entries 266,630,000; 59,040,000; 6,040,000; 3,860,000; 3,480,000; 2,250,000; 2,200,000, 1,020,000; and 344,530,000. The third column is titled percent in 2010 with entries 77.4, 17.1, 1.8, 1.1, 1.0, 0.7, 0.6, 0.3, and 100.0. The fourth column is titled 2050 Projected Population with entries 286,710,000; 111,340,000; 5,920,000; 6,080,000; 10,350,000; 5,850,000; 6,540,000; 2,630,000; and 435,420,000. The fifth column is titled percent in 2050 with entries 65.8, 25.6, 1.4, 1.4, 2.4, 1.3, 1.5, 0.6, and 100.0. On the right is a pie chart titled Religions Practiced in Central America. Christianity is 95.86 percent, Agnostic 2.42 percent, Native Religions 0.99 percent, Atheism 0.15 percent, Spiritism 0.13 percent, and Other is 0.44 percent.
Which is the
Step-by-step explanation:
if there is 99 apples and i take one of them how many apples are there now
Is -4/-5 positive or negative
Answer:
Positive
Step-by-step explanation:
A negative divided by a negative can cancel out to make a positive. So, [tex]\frac{-4}{-5} = \frac{4}{5}[/tex].
I hope this helps!
Answer:
i believe its positive because 2 negatives make a positive
What are Two figures that are proportional in size
1) x- y=-2
4x - y = 1
Answer:
x=1 y=3
Step-by-step explanation
There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many student clubs are boys?
Answer:
14
Step-by-step explanation:
a man spent 58% of his income and the amount of money left was $210. Find his income
Answer:
500 $
Step-by-step explanation:
[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]
[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]
[tex]\frac{21}{50}x=210\\[/tex]
[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]
x=500
<3
Red
determine the range of the following graph:
Answer:
The range of a function is the set of outputs the function can give
The y-axis on the graph shows as the output of the function
From the graph, we can see that the outputs of this specific function range from 0 to 5
Therefore, the range of this function is: [0 , 5]
Pls help! What is the expression in simplest radical form?
√504
I need help on this will give brainlist
need help again please
If a seed is planted, it has a 70% chance of growing into a healthy plant.
If 8 seeds are planted, what is the probability that exactly 4 don't grow?
Answer:
Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%
Step-by-step explanation:
Binomial Distribution
Consider a random experience that has only two possible outcomes: Success or Failure. Let's call p to the probability that the event has a successful outcome and q to the failure outcome.
It follows that p+q=1, or q=1-p.
Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the Binomial Distribution formula:
[tex]\displaystyle P_{x} = {n \choose x}\cdot p^{x}\cdot q^{n-x}[/tex]
Where :
[tex]\displaystyle {n \choose x}[/tex]
Is the number of combinations, calcula ted as follows:
[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]
A planted seed has a 70% chance of growing into a healthy plant. The successful outcome has p=0.7 and q=0.3.
The experience is repeated n=8 times. We want to calculate the probability of having 4 failures (not growing seeds) or x=4 successes.
Apply the formula:
[tex]\displaystyle P_{4} = {8 \choose 4}\cdot 0.7^{4}\cdot 0.3^{8-4}[/tex]
[tex]\displaystyle P_{4} = 70\cdot 0.7^{4}\cdot 0.3^{4}[/tex]
[tex]\displaystyle P_{4} = 0.1361[/tex]
Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%