Answer:
6i3√ or 6i√3
Step-by-step explanation:
it takes away the - it is a trick question
Using root properties and complex numbers, it is found that the equivalent expression is:
[tex]6i\sqrt{3}[/tex]
----------------------------------
The most widely used definition in complex numbers is:
[tex]i^2 = -1 \rightarrow \sqrt{-1} = i[/tex]
The expression is:
[tex]2\sqrt{-27} = 2\sqrt{3 \times -9} = 2\sqrt{3 \times 9 \times -1}[/tex]
Applying the property:
[tex]2\sqrt{3 \times 9 \times -1} = 2\sqrt{3}\sqrt{9}\sqrt{-1} = 6i\sqrt{3}[/tex]
[tex]6i\sqrt{3}[/tex] is the equivalent expression.
A similar problem is given at https://brainly.com/question/13201088
Use the formula A = Ibh find the height to the nearest tenth of a triangle with a base of 15 and an area of 200.
Answer:
26.7Step-by-step explanation:
The formula of an area of a triangle:
[tex]A=\dfrac{1}{2}bh=\dfrac{bh}{2}[/tex]
b - base
h - height
We have b = 15, A = 200.
Substitute:
[tex]200=\dfrac{15h}{2}[/tex]
[tex]200=7.5h[/tex] divide both sides by 7.5
[tex]\dfrac{200}{7.5}=\dfrac{7.5h}{7.5}[/tex]
[tex]h\approx26.7[/tex]
The sum of two consecutive integers is −85 . Find the two integers.
Answer:
-42 + -43
-40 + -40= -80
-2 + -3= -5
Simplify: (1-sin^2 x)/(1+tan^2 x)
Answer:
[tex]cos^{4}[/tex] x
Step-by-step explanation:
Using the trigonometric identities
1 + tan²x = sec²x and 1 - sin²x = cos²x
secx = [tex]\frac{1}{cosx}[/tex]
Given
[tex]\frac{1-sin^2x}{1+tan^2x}[/tex]
= [tex]\frac{cos^2x}{sec^2x}[/tex]
= [tex]\frac{cos^2x}{\frac{1}{cos^2x} }[/tex]
= cos²x × cos²x
= [tex]cos^{4}[/tex] x
write a expression the product of eght and seven less than a number
Answer:
Step-by-step explanation:
The question says that you are multiplying 8 and something together. So to start with, it looks like this.
8*something.
Now you have to get 7 less a number which is 7 - x
So something is 7 - x
8(7 - x) is your answer.
jonathan went for a jog. every time he stops to tie his shoelaces, his jog lasts 2 1/2 minutes longer. if he stops to tie his shoelaces four times, how much longer does his jog take
Final answer:
When Jonathan stops to tie his shoelaces four times, each adding 2 1/2 minutes, his jog takes an extra 10 minutes in total.
Explanation:
Jonathan stops to tie his shoelaces four times during his jog. Each time he stops, it adds 2 1/2 minutes to his total jog time. To find out how much longer his jog takes, we need to multiply the number of stops by the additional time per stop.
Let's calculate this step by step:
Convert the additional time per stop to an improper fraction, which is 5/2 minutes or 2.5 minutes.Multiply the number of stops, which is 4, by the additional time per stop, which is 2.5 minutes.The total additional time is 10 minutes (2.5 minutes/stop x 4 stops).So, if Jonathan stops to tie his shoelaces four times, his jog will take an extra 10 minutes in total.
Which of the following deductions are you most likely to see on
your pay stub?
Health insurance deduction.
Office cupcake deduction.
Social Security deduction.
Municipal tax deduction,
Answer:
Health insurance deductionSocial Security deduction.Step-by-step explanation:
Rarely does the payroll office want to get involved in minor in-office expenses, such as coffee, donuts, or cupcakes. Perhaps more rarely, will a municipality impose a payroll tax.
However, it is quite common to see health insurance costs and Social Security taxes deducted from gross pay.
how do you solve for 6y - 8= 2 (3y -4)
Answer:
Infinte solutions
Step-by-step explanation:
First you have to do the multiplication
6y - 8 = 6y - 8
since both sides are equal it means that the equation has infinte solutions, because if you keep solving you will get
6y - 6y = -8 + 8
0 = 0
What is the image point of (2,8) after a translation left 3 units and up 1 unit?
Answer:
(- 1, 9 )
Step-by-step explanation:
A translation of 3 units left, subtract 3 from the original x- coordinate
A translation of 1 unit up, add 1 to the original y- coordinate.
The rule is (x, y ) → (x - 3, y + 1 ), thus
(2, 8 ) → (2 - 3, 8 + 1 ) → (- 1, 9 )
The image point of (2,8) is (-1,9).
What is the image point?The term P', which is pronounced "P prime," is used to refer to the reflection of point P across the line, which is considered to be the "image" of point P.
Given point is (2,8).
And the translation is left 3 unit and up 1units of the point (2,8)
By increasing or decreasing the output or the input, you may change the direction of the function's graph to the right, left, up, or down. A function's output can be increased to shift the graph up. The graph is shifted downward when a function's output is subtracted from.
That means -3 and +1 respectively.
Now the image point of (2,8)
= (2-3, 8+1)
= (-1, 9)
Therefore, the image point is (-1,9).
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acme movers charges $150 plus $30 per hour to move household goods across town. hanks movers charges $55 per hour. for what lengths of time does it cost less to hire banks movers?
Answer:
For the length of time less than 6 hours cost less to hire Hanks movers
Step-by-step explanation:
Let
x -----> the time in hours
y ----> the total cost in dollars
we know that
Acme movers
[tex]y=30x+150[/tex] ----> equation A
Hanks movers
[tex]y=55x[/tex] ----> equation B
Equate equation A and equation B and solve for x
[tex]55x=30x+150[/tex]
[tex]55x-30x=150[/tex]
[tex]25x=150[/tex]
[tex]x=6\ hours[/tex]
That means-----> For x= 6 hours The cost in both companies is the same
Verify
For x=6 hours
Acme movers
[tex]y=30(6)+150=\$330[/tex]
Hanks movers
[tex]y=55(6)=\$330[/tex]
If x < 6 hours ----> It cost less to hire Hanks movers
If x > 6 hours ----> It cost less to hire Acme movers
therefore
For the length of time less than 6 hours cost less to hire Hanks movers
What number should both sides of the following equation be multiplied by to solve for x?
x/4.5 = 6
4
4.5
6
Answer:
The answer is 4.5
Step-by-step explanation:
Which pipe configuration can deliver more water to
residents, one 8-cm pipe or two 4-cm pipes? Show your
work and explain your reasoning.
4 cm
8 cm
4 cm
Answer: One 8-cm pipe (Its is greater than the total area of of two 4-cm pipes)
Step-by-step explanation:
The area of a circle can be calculate with this formula:
[tex]A=\pi r^2[/tex]
Where "r" is the radius of the circle.
We need to calculate the area of 8-cm pipe. In this case:
[tex]r=8cm[/tex]
Then, substituting the radius into the formula, we get:
[tex]A=\pi (8cm)^2\\\\A=201.06cm^2[/tex]
Now we must calculate the area of the two 4-cm pipes.
Since they are two pipes, the formula is:
[tex]A=2\pi r^2[/tex]
In this case:
[tex]r=4cm[/tex]
Then, substituting into the formula, we get:
[tex]A=2\pi (4cm)^2\\\\A=100.53cm^2[/tex]
Therefore, since the area of one 8-cm pipe is greater than the total area of of two 4-cm pipes, we conclude that the pipe configuration that can deliver more water to residents is:
One 8-cm pipe
Who was a painter, sculptor, architect, engineer, scientist, philosopher, and a visionary? This person was commissioned by the duke of Milan to create a huge bronze statue of his father on a horse.
A Lorenzo Ghiberti
B Sandro Botticelli
C Leonardo da Vinci
D Donatello
Leonardo Da Vinci was a painter, sculptor, architect, engineer, scientist, philosopher, and a visionary. He was also commissioned to create a bronze statue nicknamed "Leonardo's Horse".
3,486÷ 2=n
please show work so I can understand it
Hello!
3,486 / 2 = n
n = 1743
work:
you simply divide 3,486 by 2
if you divide each number by two (right to left)
6 / 2 = 3
8 / 2 = 4
4 / 2 = 2
3 / 2 = 1.5
since there is a decimal in this, multiply it by 10 and add it to the number before. this number will go on the right side of the total
1.5 * 10 =15
15 + 2 = 17
17 4 3 are the final numbers in order. put them together and you have 1743
(this is my personal way of doing it, but there are plenty more ways to do it)
I hope this helps, and have a nice day!
the ratio of 1/2 to 3 is equal to the ratio of 5 to what number
plz halp ;(
Answer:
5 : 30
Step-by-step explanation:
Note that [tex]\frac{1}{2}[/tex] × 10 = 5
Thus 3 × 10 = 30
Hence
[tex]\frac{1}{2}[/tex] : 3 = 5 : 30
Ratios are used to relate quantities of different measurement
The ratio is equal to the ratio of 5 andThe ratio is given As
[tex]Ratio = \frac 12 : 3[/tex]
Represent the new numbers with P1 and P2.
So, we have:
[tex]P1 : P2 = \frac 12 : 3[/tex]
The second number is 5 So, we have:
[tex]5 : P2 = \frac 12 : 3[/tex]
Multiply the ratio by 10
[tex]5 : P2 = \frac 12 \times 10: 3 \times 10[/tex]
[tex]5 : P2 = 5: 30[/tex]
By comparison
[tex]P2 = 30[/tex]
Hence, the ratio is equal to the ratio of 5 and
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A circular region with a 15-mile diameter has a population density of about 5000 people per square mile. Find the radius of the region
Anything helps thank you!!<3
Answer:
Radius = Diameter / 2
Therefore Radius = 15 / 2 = 7.5 miles
Step-by-step explanation:
I need help please?!!!
Answer:
-31
Step-by-step explanation:
You subtract a positive minus a negative and keep the sign of the larger number, in this case being 78.
19. Select other ways to write 50,897. Mark all that apply.
A
(5 X 10,000) + (8 X 100) + (9 X 10) + (7 X 1)
50,000 + 800 + 90 +7
5,000 + 800+90 +7
D
fifty thousand, eight hundred ninety-seven
Answer:
Step-by-step explanation:50,897 is in standard form.
Expanded form is adding all your place values which is 50,000+800+90+7. There was a 0 in the thousand place so you do not add anything for that place value.
So (5×10,000) + (8×100) +(9×10)+(7×1) which is each number times it place value then add them all up.
Written form would be fifty thousand, eight hundred and ninety seven. So your answer is A, B, D
Colleen divided integer “a” by -6 and got six. Then she divided six by integer B and got -3. Find the quotient of integer a and integer b
Answer: [tex]\frac{a}{b}= 18[/tex]
Step-by-step explanation:
You know that the quotient Colleen got when she divided an integer “a” by -6 was 6. This can be expressed as:
[tex]\frac{a}{-6}=6[/tex]
Then, you can find that integer solving for "a":
[tex]a=(6)(-6)\\\\a=-36[/tex]
The quotient Colleen got when she divided 6 by an integer “b” was -3. This can be expressed as:
[tex]\frac{6}{b}=-3[/tex]
Therefore, you can find that integer solving for "b":
[tex]6=(-3)(b)\\\\\frac{6}{-3}=b\\\\b=-2[/tex]
Knowing the values of "a" and "b", you can divide these integers in order to find the quotient between thenm
[tex]\frac{a}{b}=\frac{-36}{-2}}= 18[/tex]
Answer:
You know that the quotient Colleen got when she divided an integer “a” by -6 was 6.
Step-by-step explanation:
the other person is correct
Mike had 116 dollars to spend on 8 books. After buying them he had 12 dollars. How much did each book cost?
Answer:
each book costs $13
Step-by-step explanation:
Let the cost of each book be $x
cost of buying 8 books = $8x
It is given that with an original amount of $116, after buying 8 books, he had $12 left over. Hence,
$8x + $12 = $116 (dropping the $ signs)
8x + 12 = 116
8x = 116 - 12
8x = 104
x = 13 (each book costs $13)
Answer:
he possibly spent $13 on order to end up with $12 left.
Step-by-step explanation:
1) look. at the number 116 you can use a calculator.
2) if 14 only leaves you with nothing you take it away
3) add 13 + 8X that should give you 104
4). substract 116-104 your total should be $12
I hope I helped you.
write an algebraic expression to represent the following verbal expression
the cube of the difference of a number and 43.
A. x cubed - 43 cubed
B. (x-43) cubed
C. (43-x) cubed
D. (x+43) cubed
i already know C is incorrect
Factor the trinomial (
If the expression is not a factorable using integers enter prime)
A^+4a+12
Answer:
Prime.
Step-by-step explanation:
A^2+4a+12
Not factorable.
What is the answer to the math problem. And Avoid asking rhetorical questions.
Ask friendly, clarifying questions.
Don't set traps.
Ask open-ended questions.
Be grateful.
Avoid stress.
Avoid being too direct.
Silence is golden.
Solve for a:
3a +11 > 5
Subtract 11 from both sides:
3a >-6
Divide both sides by 3:
a > -6/3
a > -2
The Correct graph is the second one, because it has the dot on the -2 and the arrow points to the right
The 2 number line shows the solutions to the inequality 3a + 11 > 5 and the correct option is B.
The image shows two number lines, and asks which one shows the solutions to the inequality 3a + 11 > 5.
To solve this inequality, we can subtract 11 from both sides, and then divide both sides by 3. This gives us a simpler inequality: a > -2.
This means that all values of a that are greater than -2 are solutions to the inequality. On a number line, this can be represented by an open circle at -2, and an arrow pointing to the right.
The number line on the left of the image shows exactly this. Therefore, the number line on the left shows the solutions to the inequality 3a + 11 > 5.
The number line on the right of the image does not show the solutions to the inequality correctly. The open circle at -2 is missing, and the arrow points to the left, which is incorrect, since the solutions to the inequality are all values of a that are greater than -2, not less than -2.
Here is a more detailed explanation of the steps involved in solving the inequality:
1. Subtract 11 from both sides:
3a + 11 > 5
-11 - 11
3a > -6
2. Divide both sides by 3:
3a > -6
3 / 3
a > -6 / 3
3. Simplify:
a > -2
Therefore, the solution to the inequality is a > -2. On a number line, this can be represented by an open circle at -2, and an arrow pointing to the right.
The number line on the left of the image shows exactly this. Therefore, the 2 number line on the left shows the solutions to the inequality 3a + 11 > 5 and the correct option is B.
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What is the approximate value of the square root of 8 to the nearest tenth?
Answer:
8.0
Step-by-step explanation:
8.0 cause you move it over one place value which would be your tenth place
Round the number 936,949 to the nearest hundred
The temperature drops 28°. After the drop, the thermometer reads 48°. Which integer represents the number of degrees the temperature drops?
Answer: The answer is -28
Step-by-step explanation:
Trust me
Final answer:
The integer representing the temperature drop of 28°, leaving the thermometer at 48°, is -28. The original temperature before the drop was 76°.
Explanation:
The integer that represents the number of degrees the temperature drops when the temperature drops 28° and the thermometer reads 48° afterwards is -28. To find this, we use the final temperature (48°) and add the temperature drop (28°) to determine the original temperature. However, since it is a temperature drop, we have to add a negative sign to the drop, making it -28°. Therefore, the original temperature was 48° + 28° = 76°. The decrease in temperature is represented by the negative integer -28°.
A city water tank holds 20 gallons of water. A technician empties 25% of the tank. How many more gallons of water must be removed from the tank so that it has of the water that it started with?
The technician must remove _______ more gallons of water for the tank to have of the water that it started with.
More gallons of water in the tank have 2/5 water in it
what is the absolute value of -1/3 as a mixed fraction
Answer:
Step-by-step explanation:
/ -1/3 / = 1/3
Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2). A coordinate plane with a line passing through (negative 5, 4) and (0, 3). A coordinate plane with a line passing through (negative 4, negative 6) and (0, 3). A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4).
A function with direct variation is a linear function that passes through the origin (0, 0) and has a constant rate of change, the slope. Only the line passing through (negative 1, negative 4), (0, 0), and (1, 4) from the given options fulfills these conditions.
Explanation:In Mathematics, a function with direct variation is a linear function that passes through the origin (0, 0). It can be represented as the equation y = mx, where m is the slope of the line. The slope of the line determines if it is a direct variation. If it's a positive slope, y increases as x increases. If it's a negative slope, y decreases as x increases.
From the given options, only the coordinate plane with a line passing through (negative 1, negative 4), (0, 0), and (1, 4) represents a function with direct variation as it's a straight line passing through the origin.
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x + 8 = -7 help me our only got 5 more minutes !
x + 8 = -7
move +8 to the other side
sign changes from +8 to -8
x+8-8= -7-8
x=-7-8
Answer:
x= -15
Answer:
x=-15
Step-by-step explanation:
Subtract 8
x-8+8=-7-8
x=-7-8
x=-15
Simplify the expression where possible. (-4x^2)^2
Answer:
16x^4 is your answer
Step-by-step explanation: