Answer:
13
Step-by-step explanation:
(3-2i)(3+2i)
as (a+b)(a-b) =a²-b²
3²-(2i)²
=9-(4*-1)
=9-(-4)
=9+4
=13
Hope this helps you!
Answer:
13
Step-by-step explanation:
3^2=9, 2i*(-2i)=-4i^2=4
the 6i and -6i cancel leaving the positive 9 and 4
9+4=13
Solve the equation
3p-2q=5
q-1=3p
Answer:
p = -7/3 and q = -6
Step-by-step explanation:
3p-2q=5
Substitute q-1 for 3p
q-1-2q=5
-q-1=5
q=-5-1=-6
Substitute the value of q = -6 in q-1=3p
-6-1=3p
3p=-7
p = -7/3
0.1.13
Your vacation hotel is only 1068 feet from the historic Colonial Courthouse, but it is mile to the Fine Arts Gallery. Find the difference in the distance between the
Courthouse and your hotel and the Fine Arts Gallery and your hotel in feet. (Note that the units are different.)
The difference in distance is feet.
Answer:
[tex]Distance = 1572\ feet[/tex]
Step-by-step explanation:
Given
Courthouse = 1068 feet
Gallery = 0.5 mile ----- Missing Part of Question
What the question implies is to
determine the distance between these two locations
This is done as follows:
[tex]Distance = |Courthouse - Gallery|[/tex]
Substitute values for Courthouse and Gallery
[tex]Distance = |1068\ feet - 0.5\ mile|[/tex]
Convert 0.5 mile to feet (1 mile = 5280 feet)
[tex]Distance = |1068\ feet - 0.5 * 5280\ feet|[/tex]
[tex]Distance = |1068\ feet - 2640\ feet|[/tex]
[tex]Distance = |-1572\ feet|[/tex]
[tex]Distance = 1572\ feet[/tex]
Hence, the required distance is 1572 feet
Which number is less than 2.16? 2.3, 2.09, 2.93, or 2.9
Answer:
2.09
Step-by-step explanation:
Because:
2.3=2.30
2.9=2.90
and 2.93 is just bigger
therefore your answer is 2.09
Answer:
2.09
Step-by-step explanation:
2.93 > 2.9 > 2.3 > 2.16 > 2.09
2.09 is less than 2.16 mainly due to the fact that 9 is in the hundredths place. 16 is also in the hundredths place, but 9/100 is less than 16/100.
357,468 =
thousands 468 ones.
Not what I’m looking for maths
Answer:
Wrong
Step-by-step explanation:
You must be more specfic about how many 1000's
Which of the following employees has the greatest total employee compensation? a. Employee A: total job benefits $68,100 and total job expenses $100 b. Employee B: total job benefits $68,400 and total job expenses $300 c. Employee C: total job benefits $68,700 and total job expenses $800 d. Employee D: total job benefits $69,000 and total job expenses $1,000
Answer:
B is the correct answer
Step-by-step explanation:
Answer:
Which of the following employees has the greatest total employee compensation?
a. )) Employee A: total job benefits $68,100 and total job expenses $100
b. )) Employee B: total job benefits $68,400 and total job expenses $300 {{{ CORRECT }}}
c. )) Employee C: total job benefits $68,700 and total job expenses $800
d. )) Employee D: total job benefits $69,000 and total job expenses $1,000
Step-by-step explanation:
Edge 2021
Which expression is equivalent to the given expression? 2x - 11x-6 A. 2(x – 3) (x + 1) B. (2x + 3)(x- 2) C. (2x+ 1)(x- 6) D. 2(x + 3)(x- 2)
Answer:
Option C. (2x + 1)(x - 6)
Step-by-step explanation:
To know which option is equivalent to 2x² - 11x - 6, we shall simplify the expression as follow:
2x² - 11x - 6
Multiply the 1st term (i.e 2x²) and last term (i.e - 6) together. This is illustrated below:
2x² × - 6 = - 12x²
Next, find two factors of - 12x² such that when we add them together, it will result to the 2nd term (i.e - 11x) in the expression above.
The factors are x and - 12x
Next, replace - 11x with x and - 12x in the expression 2x² - 11x - 6 as shown below:
2x² - 11x - 6
2x² + x - 12x - 6
Next, we shall factorise the expression 2x² + x - 12x - 6 as follow:
2x² + x - 12x - 6
x(2x + 1) - 6(2x + 1)
(2x + 1)(x - 6)
Thus,
2x² - 11x - 6 is equivalent to (2x + 1)(x - 6)
Can you solve the equation 3/4(6x+9)=14 by using the divison property of equality.
Answer:
x=28/9 t- 3/2
Step-by-step explanation:
Which expression shows 7 more than the product of 8 times 9?
Answer:
Step-by-step explanation:
7 more than the product of 8 times 9
product of 8 times 9 = 8 × 9 = 72
7 more than the product of 8 times 9 = 72 + 7 = 79
Hope this helps
plz mark as brainliest!!!!!!!!!!
I will give the brainiest
Suppose x = 7 is a solution to the equation 4x - 2(x + a) = 8. Find the value of a that makes the
equation true.
2
6
3
-25
Answer:
a=3
Step-by-step explanation:
opening the bracket, we have
4x-2x-2a=8
2x-2a=8
x=7
2(7)-2a=8
14-2a=8
collect like terms
-2a=8-14
-2a=-6
divide both sides by -2
a=3
Evaluate g(x) = x2 + 5 given the inputs (-1,0,1,2}
Answer:
g(-1) = 6
g(0) = 5
g(1) = 6
g(2) = 9
Step-by-step explanation:
Step 1: Plug in -1 for x
g(-1) = (-1)² + 5
g(-1) = 1 + 5
g(-1) = 6
Step 2: Plug in 0 for x
g(0) = 0² + 5
g(0) = 0 + 5
g(0) = 5
Step 3: Plug in 1 for x
g(1) = 1² + 5
g(1) = 1 + 5
g(1) = 6
Step 4: Plug in 2 for x
g(2) = 2² + 5
g(2) = 4 + 5
g(2) = 9
Please answer the question in the photo.
The equation is sometimes true. When x = 0, 1 or -1, then the equation is true. Otherwise, the equation is false.
====================================================
Explanation:
When it comes to something like "always true" all we need is one counter example to break that statement. Pick something like x = 64 and you'll find that the left hand side becomes
[tex]x^{1/3} = 64^{1/3} = \sqrt[3]{64} = \sqrt[3]{4^3} = 4[/tex]
while the right hand side turns into
[tex]x^3 = 4^3 = 4*4*4 = 64[/tex]
This means the original equation [tex]x^{1/3} = x^3[/tex] updates to [tex]4 = 64[/tex] after plugging in x = 4. We get a false statement making the original statement false when x = 4. So saying "[tex]x^{1/3} = x^3[/tex] is always true" is not correct.
----------------------
The equation is only sometimes true for the x values 0, 1 and -1
Let's try x = 0
[tex]x^{1/3} = x^3\\\\0^{1/3} = 0^3\\\\0 = 0[/tex]
we get a true statement confirming x = 0 as a solution
Trying x = 1 leads to
[tex]x^{1/3} = x^3\\\\(1)^{1/3} = 1^3\\\\1 = 1[/tex]
also true. A similar situation happens with x = -1 as well, just that we have negatives this time.
CAN SOMONE PLEASE HELP ME ASAP PLEASEEE!!!
Answer:
z = 80°
Step-by-step explanation:
The sum of the interior angles would equal to 360°
100° + 60° + 120° = 280°
360° - 280° = 80°
Answer:
z = 80
Step-by-step explanation:
A quadrilateral has angles that sum to 360°
E + C + G + F = 360
100 + 60 + 120 + F = 360
Combine like terms
280 + F = 360
F = 360 - 280
F = 80
We know that ABCD is similar to FECG
This means that the measure of A = measure of F
z = 80
Let the universal set be the set of integers and let A = {x | ≤ 5}. Write A using the roster method.
Answer: A = {..., -1, 0, 1, 2, 3, 4, 5}
Step-by-step explanation:
We have that the set A is the set of all the integers equal to or smaller than 5.
To write in the Roster Method, we must list all the elements of this set, but we know that this set extends to minus infinity, then we should start with an ellipsis:
A = {...
Which means that it continues in that direction.
Then we can implicitly write the end of our set, and also some of the points so we can know the relation between the points in the set.
A = {..., -1, 0, 1, 2, 3, 4, 5}
And that is the set A in written with the Roster Method
Describe how you would graph a figure that is translated by (x - 4, y + 2).
Answer:
see explanation
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 4, y + 2 )
This means subtract 4 from the original x- coordinate and add 2 to the original y- coordinate, that is
a point (4 , - 4 ) → (4 - 4, - 4 + 2 ) → (0, - 2 )
The resulting graph would result in moving input x by --4 horizontally and Output y by +2 vertically.
What is a translation of a point?Translations are defined by saying how much a point is moved to the left/right and up/down. Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.
Given the point (x - 4, y + 2), we can clearly observe that the graph would move vertically by +2 units while the input will be in the -ve x-axis direction from right to left and thus will move negatively by -4.
Hence, The resulting graph would result in moving input x by --4 horizontally and Output y by +2 vertically.
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Identify each of the following variables as categorical or quantitative.(a) Blood type of a randomly selected person. (b) Amount of snow (in inch) of the next snow storm in Ottawa (c) Daily exchange rate of Canadian dollar versus US dollar (d) The number of car accidents in Ottawa area tomorrow
Answer:
Step-by-step explanation:
A
three less than the product of six and an unknown number is the same as the product of three and the sum of the number and two
Answer:
6x - 3 = 3(x + 2)
Step-by-step explanation:
-4 + 5x − 7 = 10 + 3x − 2x what eqauls x
Answer:
X=21/4, or in simplest form 5.25
Step-by-step explanation:
HELLLLLPPPPPPP PLZZZZZZ HELP A$AP PLZZZZZZZZZ I WILL MARK BRAINLEST
Answer:
what do you need help with i dont see the question
Step-by-step explanation:
43% of 300 is what number
A sample of 2,000 people yielded P(hat) = .52. What is the variance of the population proportion?
a. .0056
b. .0161
c. .0112
d. .00012
Answer:
d. .00012 or 0.00012
Step-by-step explanation:
The variance of the population proportion formula is given as:
p(1 - p)/n
Where n = sample size
p = population proportion or p(hat)
n = 2000 people
p = 0.52
Variance of the population proportion = 0.52(1 - 0.52)/ 2000
= 0.52 × 0.48 /2000
= 0.2496 /2000
= 0.0001248
Therefore the Variance of the population proportion is approximately = 0.00012
21. Chandra is retiling her bathroom floor. Each tile is in the shape of a
square, and is 6.5 inches long. How many square inches does one tile
cover? *
HELPPP
Answer:
42.25 inches²
Step-by-step explanation:
Given that the tile has a square shape, and each side of the tile is 6.5 inches, the area covered by one tile in square inches = area of square = s².
Where, s = side length of square
Area of 1 tile = 6.5² = 42.25 square inches.
One tile covers 42.25 square inches.
Distribute the negative sign: -(x - 6y)
Answer:
-x + 6y.
Step-by-step explanation:
-(x - 6y)
= -1*x -1*-6y
= -x + 6y
Which of the given values is a solution to the equation −4u+3=4u−5
Answer:
u=-8
Step-by-step explanation:
-4u+3=4u-5
-4u-4u=-5-3
*Divide U by four and we are left with U. Add -5+-3 = -8
u=-8
what is the distance between (8,-3) and (4,-7) ?
Answer:
The answer is
[tex]4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(8,-3) and (4,-7)
The distance between them is
[tex]d = \sqrt{ ({8 - 4})^{2} + ({ - 3 + 7})^{2} } \\ = \sqrt{ ({4})^{2} + ( { - 4})^{2} } \\ = \sqrt{16 + 16} \\ = \sqrt{32} [/tex]We have the final answer as
[tex]4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units[/tex]Hope this helps you
A square garden has an area of 100 square feet. What is the perimeter of the garden? show your work.
Answer: 40
Step-by-step explanation: 10 • 10 equals 100, so each side is 10. Since a square has 4 sides multiply 4 by 10 which gets you 40.
Perimeter of a square garden is 40.
Here,
A square garden has an area of 100 square feet.
We have to find the perimeter of the square garden.
What is Perimeter of square?
Sum of all four sides of a square is known as Perimeter of a square.
Now,
Let side of a square garden is a.
Area of a square = [tex]side^{2}[/tex] = [tex]a^{2}[/tex]
[tex]a^{2} = 100[/tex]
[tex]a = 10[/tex]
Hence, Perimeter of a square garden = 10 + 10 + 10 + 10
= 40
So, Perimeter of a square garden is 40.
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Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103
Answer:
3.99 10-6
Step-by-step explanation:
This is simply the answer because if you multiply them all out this equation is the smallest number
Answer:
3.99*10^-6
Step-by-step explanation:
Anything taken to a negative power is going to be smaller than the original number because x^-y=1/(x^y). So since 3.99*10^-6 is smaller than 4.4*10^-5, the former is the answer.
5
Your mom is making soup. As you walk through the kitchen, you decide to taste it. You take a spoon out
of th drawer and use it to taste the soup. It is so good that you want another bite. Should you use that
same spoon? Why or why not?
Enter your answer(s) here
Answer:
no, because the spoon has been in your mouth and saliva has been on the spoon, so no you should no.
Answer: It all depends on your preference
Step-by-step explanation:
Depending on your moms and yours preference using the same spoon wouldn't be that bad. Unless you've slobbered all over the spoon, using the same spoon will not effect the soup in any shape or form.
Find the midpoint between A and C.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(0. \: 5, \: 0.5 \: )}}}}}[/tex]
Step-by-step explanation:
Given,
A ( -2 , 4 )⇒ ( x₁ , y₁ )
C ( 3 , - 3 )⇒ ( x₂ , y₂ )
Finding the midpoint between A and C
[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{ - 2 + 3}{2} \: , \: \frac{4 + ( - 3)}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{4 - 3}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{1}{2} \: , \: \frac{1}{2} }})[/tex]
[tex] \dashrightarrow{( \sf{0.5 \: , \: 0.5) \: }}[/tex]
Hope I helped!
Best regards! :D
In ΔABC, Cos A = 4/5, cosB = 3/5then a:b:c is
The ratio is 3:4:5.
Cosine by definition, is adjacent divided by hypotenuse, meaning that the value of the hypotenuse is 5. Then, we are given two other sides that are adjacent to angles A and B, which are 4 and 3 respectively.
This means that there are side lengths 3, 4, and 5, meaning that the ratio of the sides are 3:4:5.
Hope this helps.
頑張って!
Simply 2p(p+2)-3p(2p-3) =
Answer:
p (13 - 4 p)
Step-by-step explanation:
Simplify the following:
2 p (p + 2) - 3 p (2 p - 3)
Hint: | Pull a common factor out of 2 p (p + 2) - 3 p (2 p - 3).
Factor p out of 2 p (p + 2) - 3 p (2 p - 3), resulting in p (2 (p + 2) - 3 (2 p - 3)):
p (2 (p + 2) - 3 (2 p - 3))
Hint: | Distribute 2 over p + 2.
2 (p + 2) = 2 p + 4:
p (2 p + 4 - 3 (2 p - 3))
Hint: | Distribute -3 over 2 p - 3.
-3 (2 p - 3) = 9 - 6 p:
p (2 p + 9 - 6 p + 4)
Hint: | Group like terms in 2 p - 6 p + 4 + 9.
Grouping like terms, 2 p - 6 p + 4 + 9 = (4 + 9) + (2 p - 6 p):
p (4 + 9) + (2 p - 6 p)
Hint: | Combine like terms in 2 p - 6 p.
2 p - 6 p = -4 p:
p (-4 p + (4 + 9))
Hint: | Evaluate 4 + 9.
4 + 9 = 13:
Answer: p (13 - 4 p)