Answer:
1) 34 + 0i
2) 9/17 + (2/12)i
3) z = -i
Step-by-step explanation:
Part 1:(5 + 3i)(5 - 3i) = 25 - 15i + 15i - 9i²
25 - 15i + 15i - 9i² = 25 - 9i²
25 - 9i² = 25 - 9√(-1)²
25 - 9√(-1)² = 25 - 9(-1)
25 - 9(-1) = 25 + 9
25 + 9 = 34
34 = 34 + 0i
Part 2:(2 + i) / (4 + i)
[tex]\frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}[/tex]
a=2, b= 1 , c=4 , d =1
[tex]\frac{\left(2\cdot \:4+1\cdot \:1\right)+\left(1\cdot \:4-2\cdot \:1\right)i}{4^2+1^2}[/tex]
[tex]\frac{9}{17}+\frac{2}{17}i[/tex]
Part 3:[tex]\frac{z+1}{z-1}=i\\[/tex]Solve like part 2:
z = -i
Find a unit rate in the real world and add it to the discussion. You may add a picture or explain your unit
rate. Do not submit one someone else has already added. Week Two
Answer:
One bag of pretzels costs three dollars. Five bags of
pretzels costs $10. Which has the lower unit price?
You score 84 points in six games. How much do you score per
game?
It costs $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which
is a better buy?
Steve drives 78 miles on 3 gallons of gas. Find the miles per gallon.
Maria walks 12 miles in 3 hours. How many miles does she walk per
hour?
Do you have to solve it?
A group of fitness club members lose a combined toltal of 28 kilograms in 1week. There are approximately 2.2 pounds in 1 kilograms. Assuming the weight loss happened at a constant rate about pounds did the group lose each day?
Answer:8.8
Step-by-step explanation:
2.2*28=61.6
61.6/7=8.8
Pls Mark me as Brainliest
Which best describes the range of the function f(x) = { 0)* after it has been reflected over the x-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0
Answer:
all real numbers less than 0
Step-by-step explanation:
In the picture attached, the question is shown.
The function described is an exponential decay with the form:
y = ab^x
where a = 2 and b = 1/4
The range of an exponential decay function is all real numbers greater than 0. This means that after f(x) has been reflected over the x-axis its range is all real numbers less than 0.
Pls help with is geometry will like and will give Brainlyist if it will let me pls help
Answer:
I believe the answer would be CD is less than DB which is less than BC
Step-by-step explanation:
I derived this answer by looking at the angle degrees. Typically, the larger the angle, the larger the side.
line. Fill in the
(4) All linear equations have a graph that forms a
blank.
O
parabola
O
V-shaped
O
straight
O zig zag
Answer:
Straight
Step-by-step explanation:
Linear equations in the form of y = mx + b are always straight. Parabolas are quadratic equations of y = a(x-h)² + k and have a curve. V shaped are formed by absolute values y = a|x-h| + k.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g. g(x) = f(x − 3) + 4
Answer:
The correct option is D
D) The graph of function f(x) is shifted right 3 units and up 4 units
Step-by-step explanation:
Lets the function be y = f(x)
To shift the graph 3 units to the right, we add -3 to the x term of the function:
Function becomes y' = f(x-3)
Then to shift the graph up by 4 units, we add -4 to the y term of the function:
Function becomes:
y - 4 = f(x-3)
y = f(x-3) +4
g(x) = f(x-3) +4
Hence the correct option is D, as the graph is shifted to the right by 3 units and also shifted up by 4 units
Answer: The correct answer is D. The graph of function f is shifted RIGHT 3 units and up 4
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the solution set. The solution set for -p2 − 11p = 0 is { }. (Separate the solutions with a comma.)
Answer:
34.55/6.28=0
Step-by-step explanation:
whats the answer???
Answer:
60
Step-by-step explanation:
Central Angle = Intercepted Arc
The central angle is 60 so the intercepted arc is 60
Answer:
the answer is 60. It says at r and s 60 degrees. so that is the answer
Step-by-step explanation:
Can someone help please simply answer only
Answer:
2nd option
Step-by-step explanation:
there is no need to make a like of best fit because the x axis is already acting as one.
How much will a person pay for 7.5 pounds of bananas at a price of $2.07 per pound?
The price the person will pay is
(Round to the nearest cent.)
Answer:
$15.57
Step-by-step explanation:
2.07 times 7.50 = $15.57!
The amount of money that he pays for 7.5 pounds of bananas will be $15.525.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The price of bananas is at a rate of $2.07 per pound. Then the amount of money that he pays for 7.5 pounds of bananas is given as,
⇒ $2.07 x 7.5
⇒ $15.525
Then the amount of money that he pays for 7.5 pounds of bananas will be $15.525.
More about the rate link is given below.
https://brainly.com/question/14731228
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Which value is equivalent to cos 10°?
sin 30°
O sin 25°
O sin 70°
O sin 80°
Answer:
13
Step-by-step explanation:
Someone please help
Answer:
I'm not 100% but I think it could be x4 and then +5?
Step-by-step explanation:
Kip is going to meet his family.
Predict the number of kilometers that will
remain after 7 hours.
The table shows the number of
kilometers he needs to travel until he
reaches them.
Enter the correct answer.
DONE
Hour
1
2
3
4
5
6
7
Kilometers
196
166
136
106
76
46
?
Answer: 16 kilometres
Step-by-step explanation: Every hour, the distance left is decreased by 30. So, 46-30= 16.
Carol Byrd gets a student rate of $30.00 a month. There is a $200 deductible; but no coinsurance payment. She
recently received treatment for a covered condition. The bill was $2,050.00. Carol's insurance company provided
payment of 80% of the bill less the deductible.
What was the company's payment?
What was Carol's total cost (ignoring the monthly premium)?
Answer:
$160
Step-by-step explanation:
100/100 = 100 ÷ 100 = 100% = 1. Multiply a number by the fraction 100/100
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The company payment is $1440.
Carol's total cost is $610.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of the bill = $2,050
Company payment = 80% of the bill less the deductible
This means,
80/100 x 2,050 = 1640
Company payment.
= 1640 - 200
= $1440
Now,
Carol's total cost.
= 2,050 - 1440
= $610
Thus,
The company payment is $1440.
Carol's total cost is $610.
Learn more about percentages here:
https://brainly.com/question/11403063
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Sara leaves home at 7 A.M. traveling at a rate of 45 mph. Her son discovers that she has forgotten her briefcase and starts out to overtake her. Her son leaves at 7:30A.M. traveling at a rate of 55 mph. At what time will he overtake his mother?
Answer:
B I think
Step-by-step explanation:
Answer:
Dude, there is no option?
Step-by-step explanation:
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
=} (x-6) and passes through tho point (-2,-2)?
y-4=
y=-3x - 19
y=-x+ 10
y = fx-1
y = 2 x + 1
Answer: y=-x+ 10
Step-by-step explanation:
what is 3 × 8000283743729.
Dear user,
3 × 8000283743729 = 2.4000851
Answer:
24000851231187
hope this helps!
Pls mark as brainliest!
13. Solve this equation for A: A/2=4
O A. 2
OB.4
C.6
D. 8
Step-by-step explanation:
A/2 = 4
A = 4 x 2
A = 8
I think this should be the answer
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?
A n; n - 4; 4n
B n; 4 - n; n + 4
C n; n/4; n + 4
Answer:
38
Step-by-step explanation:
38 because
Which of the following equations describe the line shown below? Check all that apply!
Answer:
C and E
Step-by-step explanation:
Use the slope formula to first find the slope of the line.
The slope formula is y₂₋y₁ / x₂₋x₁ where (x₁ , y₁) is a point on the graph and (x₂ , y₂) is the other point on the graph. Substituting the values into the slope formula will give you 2 as the slope.
Now use the point-slope formula to find the correct answers.
Point-slope form is y₋y₁ = m(x₋x₁) where y₁ and x₁ are a point on the graph and m is the slope. Substitute both points into the formula (separately) to get C and E as your answers.
HELPPPPP plsssss 3|2x+5|=9x-6
Answer:
[tex]3 |2x + 5| = 9x - 6 \\ \\ 6x + 15 = 9x - 6 \\ \\ 6x - 9x = - 15 - 6 \\ \\ - 3x = - 21 \\ \\ x = \frac{21}{3} \\ \\ x = 7 \\ \\ [/tex]
Someone please help
Answer:
A
Step-by-step explanation:
The 3D shape of the 5 cubes put to a 2D-plane will be representing the diagram A.
Answer: A
Step-by-step explanation:
This is because Option A has 5 cubes, as well as the model above which also has 5 cubes. When you change the angle of the way you are looking at Option A it will be similar to the plan above
What is the value of the expression shown below 10+(2x3)^2 divided by 4x (1/2)^3
Answer:
10 + (2 x 3)^2 / 4 x (1/2) ^3
First do the parentheses
2 x 3 = 6
1 / 2 = 0.5
We are left with
10 + 6^2 /4 x 0.5^3
Do exponents
6 x 6 = 36
0.5 x 0.5 x 0.5 = 0.125
10 + 36 / 4 x 0.125
Divide by 4 and multiply by 0.125
36 / 4 = 9
9 x 0.125 = 1.125
We are left with
10 + 1.125 = 11.125
The answer is 11.125
Step-by-step explanation:
Admission to a museum is $8 for adults and hall that price for children. If 350 adults went to the museum, and $3200 was collected. How many children went to the museum that day?
[tex]2 3/5 × 3 1/3[/tex]
Answer:
26/3
Step-by-step explanation:
2 3/5 × 3 1/3
Change to improper fractions.
13/5 × 10/3
Multiply both fractions.
130/15
Simplify.
26/3
What is the slope-intercept equation of the line below?
Answer:
y = 1/2x +5
Step-by-step explanation:
The slope intercept form of a line is
y= mx+b where m is the slope and b is the y intercept
y = 1/2x +5
Answer:
y = 1/2x +5
Step-by-step explanation:
The y intercept is 5 because the line goes 5 units up.
and the slope is 1/2
the radius of a circle is 2.9 in. Find the circumference to the nearest tenth (help please)
Answer:4.18
Step-by-step explanation:
2.9+2/9
Answer:18.2in
Step-by-step explanation:
circumfernce =2 pi r
pi=22/7
c=2 x 22/7 x 2.9
c=18.2 in
what is the area of the triangle below?
Points O, A, B lie on a line. OA = 12 cm and OB = 9 cm. Find the distance between the midpoints of segments
OA
and
OB
in each case.
a
Point O lies on segment
AB
.
Answer:
10.5
Step-by-step explanation:
Let E be the midpoint of OA and F be the midpoint of OB.
If point O is placed between A and B, then points E and F are placed on different sides from O. The segment OE has length 12÷2=6 cm and segment OF has length 9÷2=4.5 cm. Than EF=6+4.5=10.5 cm.
If point O is placed outside the segment AB, then point B is closer to point O than point A, because OA>OB. Since OE=6 cm and OF=4.5 cm, EF=6-4.5=1.5 cm.
If the order of points is A, O, B, then the midpoints of AO and OB will be separated by half the length of AB: (12 cm + 9 cm)/2 = 10.5 cm.
please mark me brainliest :)
Answer:
10.5 cm
Step-by-step explanation:
I need help please!!!
Which of the following is the equation of a line in slope- intercept form fo a line with slope =2/3 and y-intercept at (0,-2)? A. y= -3/2x -2 B. y=-2/3x +2/3 C. y= -2x - 2/3 D. y= 2/3x -2
Answer:D
Step-by-step explanation: