Answer:
.
21
Step-by-step explanation:
What is the sum of the expression (8- 4 i) + (-2+7i)?
Answer:
The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
Step-by-step explanation:
In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is
(a + bi) + (c + di) = (a + c) + (b + d)i
Let us use this fact to solve our question
∵ The complex numbers are (8 - 4i) and (-2 + 7i)
∴ Their sum = (8 - 4i) + (-2 + 7i)
∵ The real parts are 8 and -2
∵ 8 + -2 = 8 - 2 = 6
∴ The sum of the real parts is 6
∵ The imaginary parts are -4i and 7i
∵ -4i + 7i = 3i
∴ The sum of the the imaginary parts is 3i
∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i
∴ (8 - 4i) + (-2 + 7i) = 6 + 3i
∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
If Jan is 3 years older now than Dale was 2 years ago, then Jan is how many older than Dale is right now.
A) 1 year
B) 2 years
C) 3 years
D) 5 years
Who likes sushi?!?!?!
Answer:
I do :)
Step-by-step explanation:
Lol I usually get the crunchy roll
In the figure, mZ2 = 3(x+15) and m23 = 24°. Find x.
3
5
6
8
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x+15)*23-(24)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(3 • (x + 15) • 23) - 24 = 0
STEP
2
:
Equation at the end of step 2
69 • (x + 15) - 24 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
69x + 1011 = 3 • (23x + 337)
Equation at the end of step
4
:
3 • (23x + 337) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 23x+337 = 0
Subtract 337 from both sides of the equation :
23x = -337
Divide both sides of the equation by 23:
x = -337/23 = -14.652
Step-by-step explanation:
Which is the best description for the graph?
Answer:
decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward
A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below what is the students error?
Answer:
Well the weight is
Step-by-step explanation:
4.53592 kilos
Answer:
4.535924 kilograms
Step-by-step explanation:
1 ounce = 0.02834952 kilogram
160 * 0.02834952 = 4.535924
what is th nth term of 4 1 -2 -5 -8
Answer:
-3
Step-by-step explanation:
Answer:
here:- a=4; d:- (1-4)=(-2-1)=>-3
so, nth term= a+(n-1)d
=> 4+(n-1)-3=>4-3n+3=>7-3n
Step-by-step explanation:
nth term=(7-3n)
Can y’all help plzzzzz
1.
m
In the figure below, m||n. Match the angle pairs with the
correct label for the pairs.
A. 24 and 26
a.
Corresponding Angles
HA
B. 25 and 28
b.
?
Same-Side Interior Angles
C. Z2 and 26
c.
?
Alternate Interior Angles
D. 24 and 25
d. ?
Vertical Angles
The matching is as follows:
1. <4 and <6 ------> same- side interior angle
2. <5 and <6 ------> vertical angles
3. <2 and <6 ------> corresponding angle.
4. <4 and <5 ------> alternate interior angle
What are properties of parallel lines?Properties of Parallel Lines
The pairs of corresponding angles are equal.The pairs of vertically opposite angles are equal.The pairs of alternate interior angles are equal.The pairs of alternate exterior angles are equal.Now, from the figure
1. <4 and <6 shows the relationship of same- side interior angle
2. <5 and <6 shows the relation of vertical angles
3. <2 and <6 shows the relation of corresponding angle.
4. <4 and <5 shows the relation of alternate interior angle
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the of a rectangle is 42 square centimeters .it lenngth is 7 centimeters . what is the width of the rectangle
Answer:
6 centimeters
Step-by-step explanation:
Area = Length * Width
42 = 7 * Width
Width = 42/7
Width = 6 centimeters
what is the value of x
х = 0/4
Answer:
0
Step-by-step explanation:
0 divided by anything is 0
can someone answer plzzzz
Answer:
6,882,000 miles
Step-by-step explanation:
What is:
6t-2/4 + 4 (t+1) when t=5
Answer:
2 /20t+7
Step-by-step explanation:
Last month, Carter earned $165 for his after-school job. If he was paid $8.25 per hour, how many hours did Carter work?
Answer:
20
Step-by-step explanation:
165 divided by 8.25 is 20.
Answer:
20 hrs
Step-by-step explanation:
Just divide $165 by $8.25
Hope this helps!
5 + 5 + 5 + 5 + 220+ 30004
Answer:
30244
Step-by-step explanation:
Please help me with this one
Can someone plz plz help me with the last 2 problems #5 and #6
i believe your answers would be
1/2c+7 and 2H-9
Please answer this correctly without making mistakes
Answer:
This is what internet says. Maybe this helps.
[tex]4=\frac{6}{a}x+5[/tex]
Solve for a.
a+(−5)=−12
Solve the following 3x + 7 = 2x + 13 over 3
Answer:
3x+7=2x+13 over 3
3 (3x )+3 (7)=2x +13 over 3×3
9x+21=2x +13
9x- 2x=13-21
7x=-8
x=8/7
Step-by-step explanation:
Step 1:Multiply both sides by the denominator
Step 3:Group like terms
Step 5: Divide both sides to find for x
Solve the formula d = rt for t.
A. t=d/r
B. t= rd
c. t= r/d
D. t= d-r
Answer:
A,t=d/r
Step-by-step explanation:
if d=rt t=?
d/r=rt/r (to get alone t we devided by r on both sides)
d/r=t
i think it is clear
&i hope it helps you
find the perimeter of a circle whose diameter is 12.6 cm please help and show working
Answer:
39.584034 cm
Step-by-step explanation:
Firstly find the radius, 6.3 cm. Then plug into the formula, 2πr.
I used 3.14159 as pi.
work:
2 * 3.14159 * 6.3
6.28318 * 6.3
39.584034
Is 60N Cold or hot
Answer:
It is warm.
Step-by-step explanation:
In order to test for the significance of a regression model involving 5 independent variables and 123 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are
Answer: The numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .
Step-by-step explanation:
We know that , for critical value of F, degrees of freedom for numerator = k-1
and for denominator = n-k, where n= Total observations and k = number of independent variables.
Here, Numbers of independent variables(k) = 5
Total observations (n)= 123
So, Degrees of freedom for numerator = 5-1=4
Degrees of freedom for denominator =123-5= 118
Hence, the numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .
The rule (x, y)→(x−1, y-3) represents a translation 1 unit ____ and 3 units ____
Answer: left, down
Hope this helps.
You need to purchase supplies for building a backyard deck. Your boss gives you the supply list and asks that you get the best deal by buying from either True Builder or Quality Supplies. You call both stores, and they provide the price information that you put into the table below. Which store provides the lowest total cost, and what is the cost without sales tax?
Answer:
a) The store which provides the lowest total costs is:
True Builders
b) The cost without sales tax is:
$407.48
Step-by-step explanation:
Data and Calculations:
Product Quantity True Builders Quality Suppliers
Price Costs Price Costs
Bricks 120 $2.20 $264.00 $2.25 $270.00
2 x 4 boards 40 ft $0.75 30.00 $0.70 28.00
1 x 6 boards 120 ft $0.60 72.00 $0.65 78.00
2 x 6 boards 30 ft $0.80 24.00 $0.80 24.00
Paint 2 gal. $15.50 31.00 $11.25 22.50
Paint Brushes 2 $7.50 15.00 $9.75 19.50
Total costs $436.00 $442.00
Imputed Sales Tax of 7% 28.52 28.92
Without Sales Tax $407.48 $413.08
Answer:
Quality Supplies 442.00
Step-by-step explanation:
f(x)=x-5
g(x) = 2x+1
Write the expressions for (f-g)(x) and (f+g)(x) and evaluate (fg)(4).
Answer:
(f - g)(x) = -x - 6
(f + g)(x) = 3x - 4
(f*g)(4) = -9
Step-by-step explanation:
These are your equations:
f(x) = x - 5
g(x) = 2x + 1
To find (f - g)(x), subtract g(x) from f(x).
(f - g)(x) = x - 5 - (2x + 1)
(f - g)(x) = x - 5 - 2x - 1
(f - g)(x) = -x - 5 - 1
(f - g)(x) = -x - 6
To find (f + g)(x), add f(x) with g(x).
(f + g)(x) = x - 5 + 2x + 1
(f + g)(x) = 3x - 5 + 1
(f + g)(x) = 3x - 4
To find (f*g)(4), you need to first find (f*g)(4). You can do this by multiplying f(x) wih g(x).
(f*g)(x) = (x - 5)(2x + 1)
(f*g)(x) = 2x² - 9x - 5
Now that you have (f*g)(x), solve with x as 4.
(f*g)(4) = 2(4)² - 9(4) - 5
(f*g)(4) = 2(16) - 9(4) - 5
(f*g)(4) = 32 - 36 - 5
(f*g)(4) = -9
The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f(x)=x-5
g(x) = 2x+1
According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4
[f + g ](x) = 3x - 4
[f - g ](x) = x - 5 - 2x - 1
[f - g ](x) = -x - 6
(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5
(f.g)(4) = 2[4]² - 4[4] - 5
= 32 - 16 - 5
= 11
(f.g)(4) = 11
Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
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PLEASE HELP WITH THIS WILL GET EXTRA POINTS
Answer:
1.2
2.4
3.6
4.8
5.9
6.4
7.3
8.6
Step-by-step explanation:
5. A Ferrari gets 14 miles per gallon of gas. Gas costs $3.18 per gallon. If the Ferrari's gas
tank holds nineteen gallons, and assuming the tank was empty, how much would it cost to fill
the tank and how far could the Ferrari go before it ran out of fuel?
Answer:
44.52
Step-by-step explanation
Let z = 1 + 3i and w = -3 - 4i.
Use the drop down menus to complete the statements.
The sum z + w is equal to - -i
The sum w + z is equal to - 2 - i
The result supports that complex number addition is
Step-by-step explanation:
z+w= 1+3i-3-4i = -2-i
w+z=-3-4i+1+3i = -2-i
So, z+w = w+z
So, complex number addition is commutative
If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
What is commutativity property of addition?We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.
How to solve it ?Here z = 1 + 3i and w = -3 - 4i.
Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i
and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i
i.e. z + w = w + z
Clearly, the addition obeys the commutative property.
Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
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