[297÷3 + { 4 × 3 ( 20 – 36 ÷ 5 – 2)}]
Here is the answer to your problem:
https://brainly.in/question/10886862The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.
Answer:
1 is your answer. I HOPE IT WILL HELP YOU A LOT.
Solve the equation z^4+4z^2+16=0
Answer:
As this is a quartic equation, we should expect four roots (although some may end being repeated). Notice also that the equation is symmetrical, which suggests that there might be an element of symmetry in the answer.
First, as this equation is a quadratic in terms of z2 , we can use our formula for finding the roots of a quadratic equation to give the value(s) of z2 . [If you have a problem seeing this, use the substitution y=z2 , and you get a quadratic in y .]
z2=−4±42−4×1×16√2×1=−4±16−64√2
=−4±−48√2=−2±12−−√i=−2±23–√i
=4(−12±3√2)i
=4(cos(2kπ3)+isin(2kπ3)) , where k∈1,2
=4e2kiπ3
As this is the value of z2 , whereas we want z , we need to take the square roots of both sides
z=4–√ekiπ3+nπ , where n∈0,1
=2e(k+3n)iπ3
=2cis((k+3n)iπ3)
As we have two values of k and two values of n , this gives us four solutions.
Writing these angles in terms of degrees, we have: 60, 120, 240 and 300
Evaluating, we end up with the four solutions
z=1±3–√i∪z=−1±3–√i
You can substitute z^2 = x,
Then you get x^2+4x+16=0
Step-by-step explanation:
z=1±3–√i∪z=−1±3–√i
You can substitute z^2 = x,
Then you get x^2+4x+16=0
Then you can use classical x1,2 = (-b +- √[b^2–4ac])/2a
X1,2=(-4+-√[16–16*4])/2
After you solve that you substitute back z^2 = x
Mack beat his opponent by
SEVEn points in a game which
ends when a total of
101 points have been scored.
How many point did Mark
have
Answer:
94
Step-by-step explanation:
When a player reaches 101 points, they win. So that means that Mack reached 101 points. Since his opponent was seven points behind, we can subtract 7 from 101 to find Mark's, that is Mack's opponent's, score:
[tex]101-7=94[/tex]
Therefore, we can safely conjecture that Mark scored 94 points.
Please Help! I will give you a lot of points! You don't have to show your work unless you want to. Just the answer.
Answer:
52
Step-by-step explanation:
15+7+19+11+0=52
may help.
Convert into numbers
[tex]\\ \sf\longmapsto 15+7+19+13+11+0[/tex]
[tex]\\ \sf\longmapsto 22+32+11[/tex]
[tex]\\ \sf\longmapsto 55+11[/tex]
[tex]\\ \sf\longmapsto 66[/tex]
Katrina said the number
0.101100111000... is a rational number because it consists
only of the digits 0 and 1, and these digits repeat. Do you
agree or disagree? Explain.
A regular hexagon is a six sided figure with all sides equal and all six angles equal. Find the length of the sides if the perimeter of the regular hexagon is 396 yd.
find gf(2) if f(x)=2x+1,g(x)=3x-2
Answer:
13
Step-by-step explanation:
To find g f(2) , evaluate f(2) and substitute the value obtained into g(x)
f(2) = 2(2) + 1 = 4 + 1 = 5 , then
g(5) = 3(5) - 2 = 15 - 2 = 13
alexandra already has 10 plants in her backyard and she also can grow 2 plants with every seed packet she uses .with 14 seeds packets how many total plants can alexandra have in her backyard
what is the absoulute value of -6
Answer:
Step-by-step explanation:
The absolute value of -6 is 6. Absolute value is the distance a number is from zero. For example -6 is 6 spaces away from zero.
Answer:
6
Step-by-step explanation:
The absolute value of a negative number is there positive, in this case being 6
Please Help! I will give you a lot of points and the brainiest!
--This is Hindu-Arabic math, so you can't use our regular number system
simplify :
10b + a+ 6b + 10
Step-by-step explanation:
i think 16b+a+10 is the answer
write an expression that removes any perfect square factors in the radicand. Assume all variables are positive.
Find the probability that a student earns a grade of A,B, or C
P=
Answer:
Step-by-step explanation:
Answer: 0.86
Step-by-step explanation:
9. Use Structure Point K is of the way from |(4,-5) to L(0, -7). a. What are the coordinates of Kif n = 4? b. What is a formula for the coordinates of K for any n?
Dividing the segments, it is found that:
a) The coordinates of K if n = 4 are [tex](5,-frac{9}{2})[/tex]b) [tex]K - J = \frac{1}{n}(J - L)[/tex]----------------------------
The endpoints are [tex]J(4,-5)[/tex] and [tex]L(0,-7)[/tex].Point K is (x,y).Since point K is [tex]\mathbf{\frac{1}{n}}[/tex] of the way from J to L, it means that:[tex]K - J = \frac{1}{n}(J - L)[/tex]
And this is the answer to option b.
----------------------------
Option a:
If [tex]\mathbf{n = 4}[/tex], it has that:
[tex]K - J = \frac{1}{4}(J - L)[/tex]
This is applied to find both the x-coordinate and the y-coordinate of K.
----------------------------
The x-coordinate of K is x.The x-coordinate of J is 4.The x-coordinate of L is 0.Thus:
[tex]K - J = \frac{1}{4}(J - L)[/tex]
[tex]x - 4 = \frac{1}{4}(4 - 0)[/tex]
[tex]x - 4 = 1[/tex]
[tex]x = 5[/tex]
----------------------------
The y-coordinate of K is y.The y-coordinate of J is -5.The y-coordinate of L is -7.Thus:
[tex]K - J = \frac{1}{4}(J - L)[/tex]
[tex]y - (-5) = \frac{1}{4}(-5 - (-7))[/tex]
[tex]y + 5 = \frac{2}{4}[/tex]
[tex]y = \frac{1}{2} - 5[/tex]
[tex]y = \frac{1}{2} - \frac{10}[2}[/tex]
[tex]y = -\frac{9}{2}[/tex]
The coordinates of K if n = 4 are [tex](5,-frac{9}{2})[/tex]
A similar problem is given at https://brainly.com/question/20847604
How can you solve
an equation or inequality by graphing?
Jacey likes to do jumping jacks while eating jelly beans. She can eat about 41 jelly beans in 10 minutes. If she has eaten 1,231 jelly beans how many minutes has she been doing jumping jacks?
Answer:
About 300 minutes
Step-by-step explanation:
She can eat 41 jelly beans in 10 minutes and she has eaten 1231
You need to divide 1231 by 41 (then you will know how many sets of 41 jelly means she ate)
It will give you 30.024390...
and if she at this many sets of 41 and each 41 is 10 minutes,
then you have to multiply 30 by 10
you get about 100 minutes
I think :)
5 1⁄3 ÷ 2 2⁄7. Porasseee heppp
Answer:
Simple Division. See explanation.
Step-by-step explanation:
Simply put, 5 1/3 divided by 2 2/7 is 2.333333 (continues on forever)
This in fraction form however is 2 1/3.
Final answer: 2 1/3 in fraction form, and 2.333 in decimal.
Which of the following is the correct way to express 320 in scientific notation?
A. 3.2 x 10²
B. 32.0 x 10²
C. 3.2 x 10³
D. 0.32 x 10²
Answer:
Hi, there!
Option A. 3.2 x 10²
Step-by-step explanation:
320 written in scientific notation is 3.2 × 102.
2.
The perimeter of a rectangle is 82 meters. If the length of the rectangle is 20 meters more than the width
of the rectangle, find its length and width.
Answer:
30.5 meters
10.5 meters
Step-by-step explanation:
x = length
y = width
x = y + 20
2x + 2y = 82 (the perimeter of a rectangle)
using the first equation as substitute in the second equation we get
2×(y + 20) + 2y = 82
2y + 40 + 2y = 82
4y = 42
y = 42/4 = 21/2 = 10.5 meters
x = y + 20 = 21/2 + 20 = 21/2 + 40/2 = 61/2 = 30.5 meters
Which number is rational ?
Answer:
D.
Step-by-step explanation:
pi is not a rational number.
decimals is also not a rational number.
therefore the answer is D.
please solve this by using formula
Answer:
mark me as brainliest ❤️
Find x and RS if RS = 5x, ST = 3x, and RT =48
Answer:
x = 6, RS = 30
Step-by-step explanation:
5x + 3x = 48
8x = 48
8x/8 = 48/8
x = 6
RS = 5x
RS = 5(6)
RS = 30
Write the following as an algebraic expression. Simplify if possible.
Add 9x - 8 to 4x - 1.
Answer:
13x -9
Step-by-step explanation:
4x-1 + 9x-8
Combine like terms
4x +9x -1-8
13x -9
Answer:
9x+−8+4x+−1
(9x+4x)+(−8+−1)
13x+−9
Step-by-step explanation:
so sorry if wrong
Evaluate the expression x²+yz for x=-3, y=5, and z=2
Answer:
I think that the answer is 19.
Step-by-step explanation:
Writing out the problem
x²+yz
Substituting the given values of the variables
(-3)²+(5)(2)
Simplifying (-3)², which is 9
9+(5)(2)
5 times 2 equals 10
9+10
19
I hope this helped you. Enjoy your day, and take care :)
Use the quadratic formula to solve for x.
2x² – 5x-1=0
Answer:
[tex]x=\frac{5±\sqrt{33} }{4}[/tex]
Step-by-step explanation:
2+ai=6-2i/b+1 solve for a and b
Step-by-step explanation:
I hope it will help you so .
Consider the function below.
g(x) = 2x - 1
Find the difference quotient below (where h = 0) and simplify your answer.
g(x + h) - g(x) / h
Answer:
Step-by-step explanation:
What is 2x+2y=8 in standard form
Answer:
x+y=4
Step-by-step explanation:
2x+2y=8
By taking out 2 from 2x+2y as common terms, we get
2(x+y)=8
Now, by dividing both sides by 2, we get
2(x+y)/2=8)2
x+y=4
Y/3 -4 = 2 What does Y equal?
Answer:
y = 18
Step-by-step explanation:
y/3 - 4 = 2
y/3 = 6
y = 18