Answer:
-20
Step-by-step explanation:
The simplified form of the given complex number (4i)(5i) is -20.
To simplify the expression (4i)(5i), we can use the properties of complex numbers.
The imaginary unit i is defined as the square root of -1. So, i² = -1.
Now let's simplify the given expression:
(4i)(5i) = 20i²the simplified form of (4i)(5i) is -20.
Since i² equals -1, we can substitute -1 for i²:
20i² = 20(-1)
Multiplying -1 by 20, we get:
20(-1) = -20
Therefore, the simplified form of (4i)(5i) is -20.
Learn more about the complex numbers here:
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30 points. Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y=8x + 20.
Which balloon was farther from the town at the begging, and which traveled more quickly.
Answer:
C.
Step-by-step explanation:
Hope this helps.
Solves a systems of linear equations in two variables.
Solve the following systems by graphing
1) 2x + y = 5 and x-3y = - 8
2) 6x - 3y = - 9 and 2x + 2y = -6
Solve the following systems by substitution
3) y = 5x-3 and -x - 5y = - 11
4) 2x - 6 = 24 and x - 5y - 22
Solve the following systems by elimination
5) - 4x - 2y = -2 and 4x + 8y = -24
6) x - y = 11 and 2x + y = 19
PLEASE HELP FAST POINTS AND BRAINLIST FOR ANSWER!
Answer:
y = 10x
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 10
y-intercept b = 0
Step 2: Write function
Plug in variables into the general form.
y = 10x + 0
y = 10x
Answer:
y = 10x
Step-by-step explanation:
Equation of a line: y = mx + b
y = 10x + 0 is also y = 10x
2. The ratio of the length of a rectangle of its width is 6:5. Its length is 24 inches. What is its width?
Answer:
The width of the rectangle is 20 inches.
Step-by-step explanation:
Since the ratio of length to width is 6:5, the width will be 5/6 of the length. To find 5/6 of 24, multiply 24/1 by 5/6 and simplify. (24/1 is the fraction form of 24 and makes solving the problem a little easier.)
— 24/1 * 5/6 = 120/6
— 120/6 = 20
The width of the rectangle is 20 inches.
A plane can travel 5000 kilometers
in 6 hours. How far can it travel in
1.5 hours?
Answer:
1250 Kilometers.
Step-by-step explanation:
Start by finding the proper ratio of 5000:6. Now divide 6/1.5 to see what we need to divide 5000 by. 6/1.5 is 4. So divide 5000 by 4. This gives you an answer of 1250 kilometers.
Answer:
[tex]1250km[/tex]
Step-by-step explanation:
To find how far the plane can travel in [tex]1.5[/tex] hours, we need to first find the speed of the plane.
It is given that the plane can travel [tex]5000[/tex] kilometers in 6 hours, so the following equation can be written:
[tex]s = 5000km/6hours[/tex] ([tex]s[/tex] refers to the speed of the plane)
[tex]= 833\frac{1}{3}km/hour[/tex]
To find how far the plane travels in [tex]1.5[/tex] hours, we can multiply the distance it travels in 1 hour to [tex]1.5[/tex] hours:
Distance travelled [tex]= 833\frac{1}{3}\times 1.5[/tex]
[tex]=1250km[/tex]
Hope this helps :)
What is 3(3t-4)-(2t+10)
plz help
Answer: 7t-22
Step-by-step explanation:
Did this question in my notes lol
There are 15 marbles in a jar: 4 red, 5 green, and 6 yellow. You select one marble and do not replace it. Then, you select another marble. Determine if these events are independent
The events of picking marbles from the jar is independent
An event is independent if the occurrence of one event does not depend on another event.
For example, if you toss a coin and it lands on its head. You then flip another coin and it lands on its tail. These two events are independent. The face the second coin lands on do not depend on which face the first coin lands on. Also, the face that the first coin lands on does not depend on which face the second coin lands on.
In this question, after the first marble is picked, you do not return the first marble into the jar. Then you pick a second marble. The colour of the second marble does not depend on the colour of the first marble you picked. This means that the events are independent.
To learn more about independent events, please check: https://brainly.com/question/1393117?referrer=searchResults
David says that the numbers 2 and 4 are both composite numbers. Sarah says that 2 is a prime number and 4 is a composite number. Which statement explains who is correct?
Answer: Sarah is correct
Step-by-step explanation:
A composite number is referred to as a positive integer which is gotten when someone multiplies two positive integers that are smaller than the number. We should note that we should not use one while multiplying.
A prime number is a number that can only be divided when the number is being divided by one and itself. Examples are 2, 3, 7, 11 etc.
Based on the above analysis, 2 is a prime number while 4 is a composite number. Therefore, Sarah is correct.
For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field.
Suppose the field is drawn on a coordinate plane, where the x- and y-values represent the position, in yards, from the center of the field, which is located at (0, 0). The location of the cones are as follows.
Cone W is located at (-38, -53).
Cone X is located at (-38, 53).
Cone Y is located at (38, 53).
Cone Z is located at (38, -53).
What is the perimeter of the field?
A.
38 yards
B.
364 yards
C.
8,056 yards
D.
182 yards
Answer:
Because there are fewer than 30 (not no more than 30) one of the answer i x+y < 30
Because he needs both small and large another answer is x>0 and not x 0
Finally because he need at least dozen large cones the last answer is y
Step-by-step explanation:
Help anyone??????????
Answer:
x = -2, y = -4
x = -1, y = -1
x = 0, y = 2
x = 1, y = 5
Step-by-step explanation:
Just apply the formula into the different values for x.
x = -2
y = 3(-2) + 2
= -6 + 2
= -4
x = -1
y = 3(-1) + 2
= -3 + 2
= -1
x = 0
y = 3(0) + 2
= 0 + 2
= 2
x = 1
y = 3(1) + 2
= 3 + 2
= 5
What is the measure of
Part A Tim wants to buy three pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.
Answer:
The pants from the local store would be $72.00
the pants from the online store would be $85.00
the difference in price is $13.00
therefore the pants from the local store would be cheaper
Step-by-step explanation:
IM NOT SURE IF THIS ANSWERS YOUR QUESTION PLEASE CLARIFY!!!!
Which is a point 6units to the left of 4
Consider the function f(x) = 8x2 + 5x – 2.
Determine the output produced by the input value x = -2.
Answer:
f(-2) = 20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
f(x) = 8x² + 5x - 2
x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 8(-2)² + 5(-2) - 2Exponents: f(-2) = 8(4) + 5(-2) - 2Multiply: f(-2) = 32 - 10 - 2Subtract: f(-2) = 22 - 2Subtract: f(-2) = 202-b/3=-5/2
explain the process of how to solve
Answer:
b=
2
27
=13.500
Step-by-step explanation:
Write the equation of the line in slope-intercept form and general form.
(4, 2) (-3,9)
Answer:
y = -7x + 30
Step-by-step explanation:
Please help I would really appreciate it
Answer:
50°
Step-by-step explanation:
Sum of interior angle is equal to the sum of exterior angle
Jessie went to the mall and bought a CD for $12.98, a skirt for $17.50, a T-shirt for $8.50, and a bottle of water for $1.02. Use mental math to find the total amount she spent.
Answer:
$40
Step-by-step explanation:
The use of the word "mental math" means round to the nearest whole. By doing this you turn $12.98 into $13 and $1.02 into $1 which will give you $40 in total. This problem doesn't need to round as it is a simple problem. The true answer is $12.98 + $17.50 + $8.50 +$1.02= $40.
Which statement correctly compares the function shown on the graph wih the function y=5x + 5
Answer:
C the function on the graph has the same rate of change, but a lower starting point
Step-by-step explanation:
they both have the slope of 5, and the graph's y-intercept is -6. -6<5.
Answer:
I would say C. The function shown on the graph has the same rate of change but a lower starting points.
Step-by-step explanation:
I said C because if you look at the slope in the equation which is 5x and look at where the line intercepts the Y axis you can see that the rise if 5 (going up) and the run (going over) is 1 and that gives you the next point. But the 5 in the equation is higher than the starting point on the Y axis so that's why I chose the one that said the lower starting point.
hope this helps.
State the end behavior of the function.
Answer:its -1and 1
Step-by-step explanation:
because positive and negative intervals
The midpoint of ab is m(5-2). If the coordinates of a are (6,-5), what are the coordinates of b
You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability (as a decimal rounded to three places) of pulling
out a red marble?
Answer:
0.267 or 26.7%
Step-by-step explanation:
The probability of an event happening is calculated by dividing the favorable outcomes by all outcomes:
The sum of all events (marbles) is 6 + 15 + 8 + 1 = 30
The number of favorable events is 8
Therefore, the probability is 8/30 ≈ 0.267 or 26.7%
You have to get everything on your list in 5 moves.
Can you do it?
Help please
목록에있는 모든 것을 5 개의 동작으로 가져와야합니다.
which of the following if rational( )
a)
[tex]\pi[/tex]
b)log2 c)1.23123... d)none
pls help! will give brainlist!
parts of New Orleans is currently below sea level and continues to sing each year. NASA imagines shows that One part of the city is currently 6 feet (72 inches) below sea level. Each year and continues to sing two more inches. Write an expression to describe the depth of New Orleans after any given year
Answer:
depth = 6th + 2(number of years)
What is the GCF of 64, 160 and 224
Answer:
32
Step-by-step explanation:
Factorize:
64= 2x2x2x2x2x2
160= 2x2x2x2x2x5
224=2x2x2x2x2x7
If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.
Hope this helps plz hit the crown :D
The greatest common factor of 64,160, and 224 will be 32.
What is the greatest common factor?The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.
Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.
Factorize number 64.
64 = 2x2x2x2x2x2
Factorize the number 160.
160 = 2x2x2x2x2x5
Factorize the number 224.
224 = 2x2x2x2x2x7
The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.
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SOMONE PLEASE HELP ME WITH GEOMETRY PLZZZ
In the figure below, identify the altitude and the median.
Answer:
line CN is the altitude and AE is the median if i am correct
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!!
=======================================================
Explanation:
Look through the table to see when f(x) = g(x)
This happens when both are equal to 1, which is in the fourth row, or when x = -1.
In other words,
f(-1) = 1g(-1) = 1So f(-1) = g(-1)
We can then say the solution to f(x) = g(x) is x = -1.
-28=-5x+7
Solve the two step equation
Answer:
x = 7
Step-by-step explanation:
-28=-5x+7
Add 28 and 5x to both sides
5x = 35
Divide both sides by 5
x = 7
Answer: x=7
Step-by-step explanation:
Let's solve your equation step-by-step.
−28=−5x+7
Step 1: Flip the equation.
−5x+7=−28
Step 2: Subtract 7 from both sides.
−5x+7−7=−28−7
−5x=−35
Step 3: Divide both sides by -5
-5x/-5 = -35/-5
x=7
Given h(x)=4x+4h(x)=4x+4, solve for xx when h(x)=0h(x)=0
Answer:
The value of x is -1 when h(x) = 0
Step-by-step explanation:
Given function is:
[tex]h(x) = 4x+4[/tex]
The function is a linear function with one input.
We have to solve for x when h(x) = 0 this means that we have to put h(x) = 0 and find the value of x.
So,
[tex]h(x) = 0\\4x+4 = 0[/tex]
Subtracting 4 from both sides
[tex]4x+4-4 = 0-4\\4x = -4[/tex]
Dividing both sides by 4
[tex]\\\frac{4x}{4} = \frac{-4}{4}\\x = -1[/tex]
Hence,
The value of x is -1 when h(x) = 0