To simplify -2i * -3i, multiply -2 by -3 to get 6, then multiply i by i to get i². Because i² is equivalent to -1 in the complex number system, multiply 6 by -1 to get your answer, which is -6.
Explanation:When multiplying two complex numbers like −2i and (−3i), the 'i' terms get multiplied together separately to the numerical terms. This is due to the distributive property of multiplication.
So, if we apply the multiplication, we would have −2 multiplied by −3 which gives us 6. Then, i multiplied by i gives us i². The term i² is defined as -1 in the realm of complex numbers.
Putting these together we get 6 x -1, that results in −6.
Therefore, the simplified value of the expression is -6, which corresponds with option c.
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Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.
The first play of a football game resulted in a loss of 12 and 1/2 yards . Then a penalty resulted in another loss of 5 yards .What is the total loss or gain?
What is the range of f(x) = 5x?
Option: A is the correct answer.
A. All positive real numbers.
Step-by-step explanation:Domain of a function--
It is the set of all the possible x values for which a function is defined.
Range of a function--
It is the set of all the values which is attained by the function in it's specified domain.
We are given a exponential function f(x) by:
[tex]f(x)=5^x[/tex]
We know that domain of such a function is all the real numbers.
But the function:
[tex]f(x)=5^x>0[/tex]
for all the x.
Hence, the range is all positive real numbers.
Also, by the graph of the function this may be observed( since, the graph lie above the x-axis )
2/9 of the people on the restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant? Please give a simple explanation, with why you did each, Thanks!
Sam Taylor earns 6 1/2% commission on sales of $4,226 as an advertising agent. What is his commission?
The commission of Sam Taylor as an advertising agency will be $274.69.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
Sam Taylor earns a 6 1/2% commission on sales of $4,226 as an advertising agent.
Then the commission of Sam Taylor as an advertising agency will be
P = (6 1/2%) x $4,226
P = 6.5% x $4,226
P = 0.065 x $4,226
P = $274.69
The commission of Sam Taylor as an advertising agency will be $274.69.
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Deandre bought 9 pounds of rice for $5 . How many pounds of rice did he get per dollar?
If 3x - 1 = 11, what is the value of x2 + x?
The value of x² + x will be 20 when 3x - 1 = 11 .
Given, equation : 3x - 1 = 11
Firstly find the value of x from the equation .
Equation : 3x - 1 = 11
3x = 11 + 1
3x = 12
x = 4
Substitute x in x² + x .
= (4)² + 4
= 20
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The ratio of Isabella's money to Shane's money is 3:11. If Isabella has $33, how much money do Shane and Isabella have together? Use diagrams to illustrate your answer.
Carlos finds the absolute value of -5.3, and then finds the opposite of his answer. Jason finds the opposite of -5.3 and then finds the absolute value of his answer. What final value is greater? EXPLAIN
Two years ago, Ben borrowed $150 from his brother to buy a CD player. He agreed to pay $15 in interest. What is the simple annual interest rate for this loan?
Answer:
The simple annual interest rate is 5 %.
Step-by-step explanation:
Simple interest formula is,
[tex]I=\frac{P\times r\times t}{100}[/tex]
Where, P is the principal amount,
r is the rate per period,
t is the number of periods,
Here, P = $ 150,
I = $ 15,
t = 2 years,
By substituting the values,
[tex]15=\frac{150\times r\times 2}{100}[/tex]
[tex]15=\frac{300r}{100}[/tex]
[tex]15=3r[/tex]
[tex]\implies r = 5\%[/tex]
Hence, the simple annual interest rate is 5 %.
If m angle abf=7b-24 and m angle abe=2b find m angle ebf
angle ABE is equivalent
to the whole angle, and it measures 2b.
while the angle ABF is only a portion of angle ABE, and it
measure 7b - 24.
since we know the measure of the whole angle and a part of
the angle, we can then subtract to find the left over angle (angle EBF), so
Angle EBF = Angle ABE - Angle ABF
Angle EBF = 2b – (7b – 24)
Angle EBF = 24 – 5b
Find f(–4) for f(x) = 9(3)x.
Answer:
1/9
Step-by-step explanation:
find the difference. k-5/k^2-9k+20
The cost of two mopeds is the same as the cost of seven bicycles. The cost of one bicycle is $152. Therefore, the cost of one moped is
7 x 152 = 1064 for 7 bikes
since 2 mopeds cost that amount divide by 2 for the price of 1 moped
1064/2 = $532
If AB=3x+2 and AC=X+14. Find BC
B = 3x/A + 2/A
C = x/A + 14/A
I hope this helps please give me brainliest
BC = AC-AB
BC = (x+14) -(3x+2)
BC = -2x+16
Me.kirk drove 164 miles in the morning and 219 miles in the afternoon. Estimate the total number of miles she drove that day
william won 50 tickets at the arcade. he redeemed 30 tickets for a prize and gave 5 tickets to ketelyn. which expression can william use to find how many tickets he has left
a car travels 177 miles in 3 hours. find the average speed of the car in feet per second. round to the nearest whole number.
You are taking a multiple-choice test that has 44 questions. each of the questions has 55 answer choices, with one correct answer per question. if you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?
Name the quadrant in which sinθ < 0 and cosθ > 0.
I
II
III
IV
Answer:
IV/ fourth quadrant
Step-by-step explanation:
Name the quadrant in which sinθ < 0 and cosθ > 0
means, "which quadrant is sin negative and cos positive?"
the quadrant where cos is positive is at the 4th quadrant
Twice the difference of a number and 5 is 2.
Use the variable W for the unknown number
By converting the verbal statement into an algebraic equation, we establish that the variable W, which represents the unknown number, is 6.
Explanation:The question involves an algebraic expression, and it can be solved by first translating the verbal statement into an equation. Here, we're told that twice the difference of a number and 5 is 2, with the variable W representing the unknown number. The equation would therefore look like this: 2(W - 5) = 2.
To isolate W, next you divide each side by 2 yielding: W - 5 = 1.
Finally, to get W on its own, simply add 5 to both sides of the equation to get: W = 1 + 5, so W = 6.
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A total of 35 pints of blood were collected at a local blood drive how many quarts of blood were collected
How do you solve -5+-3?
Suppose that a subset of 4 balls will be randomly selected from a collection of 4 amber balls, 4 blue balls,4 copper balls, and 4 green balls (so 16 balls in all). what is the probability that exactly two of the colorswill be present (and exactly two of the colors will be absent) in the set of randomly selected balls
16% can be fonud..............................................................
Im not sure
select two answers please!!!!!
Write the equation in standard form using integers.
y=4x+9
To convert the equation y = 4x + 9 to standard form, you subtract 4x from both sides to get -4x + y = 9, and then multiply by -1 to obtain 4x - y = -9, which is in the standard form with A, B, and C as integers.
Explanation:To write the equation y = 4x + 9 in standard form using integers, we need to rearrange the equation so that it has the form Ax + By = C, where A, B, and C are integers, and A should be non-negative. Let's perform the transformation step by step:
Start with the given equation: y = 4x + 9.Subtract 4x from both sides of the equation to move the term with the variable x to the left side: -4x + y = 9.To ensure that the coefficient for x is non-negative, we can multiply the entire equation by -1 to get: 4x - y = -9, which is now in standard form with A = 4, B = -1, and C = -9.In the process of constructing a table or plotting points, you would select values for x, calculate the corresponding y values, and then plot these values on a graph to visualize the line as described in Table A1 and Figure A1. Additionally, understanding that equations like 7y = 6x + 8, 4y = 8, and y + 7 = 3x are all linear equations, and understanding the relationship between independent and dependent variables, such as the year and the number of flu cases, is important in the context of mathematics and linear equations.
The arctic lion's Mane Jellyfish is one of the largest known animals. Its tentacles can be as long as 120 feet. Find how this length compares to your height. Round your height to the nearest foot. 120 feet is time as long as feet.
Answer:
sea creature is 20 times more long as compared to me.
Step-by-step explanation:
If my height is 6 feet and the length of arctic jellyfish is 120 feet then i have to compare my length with the length of the jellyfish.
[tex]\frac{\text{Length of jellyfish}}{\text{My length}}=\frac{120}{6}[/tex]
[tex]\frac{\text{Length of jellyfish}}{\text{My length}}=20[/tex]
Length of jellyfish = 20 times (my height)
The the sea creature is 20 times more long as compared to me.
MATH HELP
Match the expression to the product
Expressions: 3 x (-4/10), -3 x (-4/10), -2 x (8/9), 2 x (8/9)
Products: -1 1/5, 1 7/9, 1 1/5, -1 7/9.
A school used 15 kilograms of peaches to make 100 cups of fruit salad. what quanity of peaches did the school put in each fruit salad
Amount of peaches in each cup is 150 grams.
Given that;
Amount of peaches in school = 15 kilogram = 15,000 gram
Number of cups = 100 cup
Find:
Amount of peaches in each cup
Computation:
Amount of peaches in each cup = Amount of peaches in school / Number of cups
Amount of peaches in each cup = 15,000 / 100
Amount of peaches in each cup = 150 grams
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You and two friends pay $40 for tickets. The cost was divided 3 ways in the ratio 1 : 3 : 6. How much did each person pay?