Answer:
[tex]6i[/tex]
Step-by-step explanation:
We want to write the conjugate of the complex number:
[tex]-6i[/tex]
Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.
We can rewrite our complex number as:
[tex]\displaystyle 0 - 6i[/tex]
Hence, a = 0 and b = 6.
Then its conjugate will be:
[tex]0 + 6i = 6i[/tex]
If Caleb bought 1.2 pounds of cheese that was selling for 5.95 per pound. How much did Caleb pay for the cheese.
Answer:
$7.14
Step-by-step explanation:
If each pound of cheese is $5.95. You just have to find out how much 1.2 pounds is worth. So, you multiply 5.95 times 1.2 pounds and you'll get $7.14
Multiplication is the process of multiplying. The total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the rate of cheese per pound is $5.95 per pound. Therefore, the amount that Caleb needs to make for 1.2 pounds of cheese is,
Total Amount = $5.95/pound × 1.2 pounds
= $7.14
hence, the total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.
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The width of a rectangle
is 11 feet longer than the
length. The perimeter of the The rectangle is 70 feet. Find the length and the width.
Answer:
Hello! The answer to this problem is Length= 27 and Width= 8
Step-by-step explanation:
2(11+2x) +2x = 70
6x + 22 = 70
6x = 48
x = 8
Answer:
Length = 23 feet and width = 12 feet.
Step-by-step explanation:
The width (W) = x and the length (L) is x+11 feet (length must be longer than width).
Perimeter = 2W + 2L = 70
2x + 2(x + 11) = 70
2x + 2x + 22 = 70
4x + 22 = 70
4x =- 70 - 22 = 48
x = 12 = width
So length = 12 + 11 = 23.
The expression (4c − 3d)(3c + d) is equivalent to:
A. 12c2 − 13cd − 3d2
B. 12c2 − 13cd + 3d2
C. 12c2 − 05cd − 3d2
D. 12c2 − 05cd + 3d2
E. 12c2 − 03d2
(4c - 3d)(3c + d) =
= 12c² + 4cd - 9cd - 3d² =
= 12c² - 5cd - 3d²
The expression (4c − 3d)(3c + d) is equivalent to 12c² - 5cd - 3d²
(4c − 3d)(3c + d)
Open the bracket
12c² + 4cd - 9cd - 3d²
Collect like terms
12c² - 5cd - 3d²
Hence, the equivalent value of the expression is : 12c² - 5cd - 3d²
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Please I need help ASAP, I don’t understand anything and it’s due tomorrow
Answer:
Alright, here we go.
11. Those are vertical angles. All vertical angles are equal.
6x + 7 = 8x - 17
2x = 24
x = 12
12. Those are linear angles (adjacent angles on a line). Linear angles = 180.
(11x - 15) + (5x - 13) = 180
16x - 28 = 180
16x = 208
x = 13
13. If BD is perpendicular to AC, that means ∠ABD and ∠CBD = 90°. ∠CBD is made up of angle DBE, which equals (2x - 1)° and angle CBE, which equals (5x - 42)°.
(5x - 42) + (2x - 1) = 90
7x - 43 = 90
7x = 133
x = 19
14. Angles PQS and SQR are equal and halves of angle PQR because of bisector QS. If PQR = 82°, angle PQS = 41°
10x + 1 = 41
10x = 40
x = 4
15. If the bottom angle is (x + 10)°, then the top angle is also (x + 10)° because they're vertical angles. Angle (x + 10) and angle (10x - 61) are linear angles, so they equal 180.
(x + 10) + (10x - 61) = 180
11x - 51 = 180
11x = 231
x = 21
As for y, insert 21 as x for (10x - 61).
10(21) - 61
210 - 61
149
(18y + 5) should also equal 149° bc of vertical angles.
18y + 5 = 149
18y = 144
y = 8
x = 21
y = 8
(16 is crossed off so I'm going to assume you're not doing that one.)
17. If angle MNQ = (8x + 12)°, and it's bisected by NP, we can say that angles MNP and PNQ are equal halves of (4x + 6)°. Now, we were told that angle PNQ = 78°.
4x + 6 = 78
4x = 72
x = 18
This means that angle MNQ = 78 x 2, which is 156.
Now to find y, we see that angles MNQ and RNM are linear angles, so we can say:
(3y - 9) + 156 = 180
3y - 9 = 24
3y = 33
y = 11
x = 18
y = 11
(This took a while.)
Please answer this ASAP NO PHOTOS PLEASE
Answer: 1cm cubed
Step-by-step explanation:
Cube Formula = L x W x H
= 1 x 1 x 1
= Volume of cube
= 1cm cubed
i need help asap can one of yall help me !
Answer:
(2,-1)
Step-by-step explanation:
20 labourers complete the construction of a building in 24 days.in how many days would 16 labourers complete the work in 12 days ?
Answer:
Step-by-step explanation:
-5c+5c+2c–6c–12c-16 16=c
Step-by-step explanation:
-5c+5c+2c–6c–16=c
-16c - 16=c
-16 = c + 16c
-16 = 17c
-16/17 = c
Which angle between –180° and 0 has the same cosine value as 275°
Answer:
cos (-85°)
Step-by-step explanation:
[tex] \cos(275 \degree) [/tex]
since cosine is in fourth quadrant:
[tex] \cos(275 \degree) = \cos( \{360 \degree - 275 \degree \}) \\ = \cos( - 85 \degree) [/tex]
-85° is the angle between –180° and 0° that has the same cosine value as 275°.
What is cosine?Cosine is the trigonometric function that is equal to the ratio of the side adjacent to the acute angle in a right angled triangle.
Mathematically,
Cos = Base/Hypotenuse
Now, to calculate cos(275) we have to first determine the quadrant of the given angle.
Since our angle is greater than 270 and less than or equal to 360, it is located in the Quadrant IV.
In the Quadrant IV, the values of cos are always positive.
275 is an obtuse angle so we can write,
Cos(275) = Cos{360+(-85)}
∵ Cos(360+θ) = Cosθ
∴ Cos{360+(-85)} = Cos(-85)
⇒ Cos(275) = Cos(-85)
The required answer is cos(275) = cos(-85)
Hence, -85° is the angle between –180° and 0° that has the same cosine value as 275°.
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2a+3 =(6 + 4a)
Is it true or false
Answer:
false
I hope it's helps you
Answer:
[tex]2a + 3 = (6 + 4a) \\ \\ it \: is \: false[/tex]
Evaluate the expression
(x + 3)(y - 2) , if x = -2, and y= 6
Answer:
The answer is 4
Step-by-step explanation:
Given,
[tex]x=-2,\,y=6[/tex]
Now, the expression
∴[tex](x+3)(y-2)\\=>(-2+3)(6-2)\\=>(1)(4)\\4[/tex]
hope you have understood this...
pls mark my answer as the brainliest
I wrote a cheque for $10 and he threw my 2 dollar how much do I have left
Answer:
you have $ 8
Step-by-step explanation:
cheque wrote ,=$10
and he threw =$2
then total $ left will be $8
please mark me brainleast
Evaluate the following expression
H ;-)
x = -3 and y = -2
2x² - 5xy - y³ =
= 2 · (-3)² - 5 · (-3) · (-2) - (-2)³ =
= 2 · 9 - 30 - (-8) = 18 - 30 + 8 =
= -12 + 8 = -4
Answer:
[tex]2 {x}^{2} - 5xy - {y}^{3} \\ x = - 3 \\ y = - 2 \\ 2 { (- 3)}^{2} - 5 \times - 3 \times - 2 - { (- 2)}^{3} \\ 2 \times 9 + - 30 - - 8 \\ = 18 - 30 + 8 \\ = - 4 \\ thank \: you[/tex]
Which of the following is a point of tangency on the circle below?
Answer:
Answer D but read below.
Step-by-step explanation:
The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.
Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.
However I think you are expected to answer F which is answer D.
Answer:
The answer is D.
Step-by-step explanation:
I learned it in school.
Use the story graph of each problem to fill in the blanks of the following sentence frames below.
In problem #1 the motion of the objects starts at ___ seconds and ends at ___ seconds.
The motion of the objects starts at ___ meters and ends at ___ meters.
The objects traveled ___ meters in ____ seconds.
In problem #2 the motion of the objects starts at ___ seconds and ends at ___ seconds.
The motion of the objects starts at ___ meters and ends at ___ meters.
The objects traveled ___ meters in ____ seconds.
I DONT KNOW WHAT THE ANSWER IS REALLY
An article is sold for Rs 500 at 25% gain. If an article is sold for Rs.250. What is loss percentage?
Answer:
The loss percentage is 37.5%
Step-by-step explanation:
Cost Price = 500 × 100/125 = 400
New selling price = Rs. 250 ⇒ Loss = 400 – 250 = 150
Loss percentage = 100 × 150/400 = 37.5%.
Dave has $15 to spend on an $8 book and two
birthday cards (c) for his friends. How much can
he spend on each card if he buys the same card
for each friend?
Answer:
yesjndndkkwkdkdndkiskdn
Answer:
3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50
What’s m=y2-y1 divided by x2-x1 for Y2
Answer:
slope formula
Step-by-step explanation:
Please help me with this! Write the equation of the line in fully simplified slope intercept form. Explanation and answer please ^^
Answer:
y = -1/2x - 8
Step-by-step explanation:
y = -1/2x - 8
the expression for perimeter of a rectangle
with a length of (x + 7) and a width of (2x)
Answer:
P = 6x + 14
Step-by-step explanation:
P = 2l + 2w
where P is perimeter, l is length, and w is width
l = x + 7
w = 2x
So P = 2(x+7) + 2(2x)
Distribute the 2 to the x and 7.
P = 2*x + 2*7 + 2*2x
Multiply each term out
P = 2x + 14 + 4x
Group the xs
P = 2x + 4x + 14
Combine like terms
P = 6x + 14
2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
Please answer fast step by step. I will mark the best answer as brainliest.
Answer:
Step-by-step explanation:
[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]
[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]
What is the mean of the data set rounded to the nearest tenth?
0.7 1.1 0.8 1.6 1.6 2.2 1.1
Answer:
1.3Step-by-step explanation:
Mean is the average of data set:
μ = (0.7 + 1.1 + 0.8 + 1.6 + 1.6 + 2.2 + 1.1)/7 = 1.3Mean
[tex]\\ \rm\leadsto \dfrac{\sum n}{n}[/tex]
[tex]\\ \rm\leadsto \dfrac{0.7+1.1+0.8+1.6+1.6+2.2+1.1}{7}[/tex]
[tex]\\ \rm\leadsto 1.3[/tex]
(3/5) + (-6/7)+(-2/5)+(3/14) find
Answer:
[tex] \frac{ - 31}{70} [/tex]Step-by-step explanation:
[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]
[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]
[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]
[tex] = \frac{57 - 88}{70} [/tex]
[tex] = \frac{ - 31}{70} (ans)[/tex]
if (y-b)÷(x-a)=m, then x is equal to
Step-by-step explanation:
[tex] \frac{(y - b)}{(x - a)} = m \\ y - b = m(x - a) \\ y - b = mx - am \\ mx = y - b + am \\ x = \frac{y - b + am}{m} [/tex]
how do you find a positive/negative interval?
Answer:
we need to see that weather it is in positive form or negative form
positive means add
negative means subtract
Picture shown!
If
f(x) = x^2+ 2x - 4
and
g(x) = 3x + 1
Find
g(f(x)) = [ ? ]x^2+ [ ? ] + [ ? ]
Answer:
3x^2+6x-11
Step-by-step explanation:
g(f(x)) = g(x^2+2x-4) = 3(x^2+2x-4)+1 = 3x^2+6x-11
x^2-y^2-z^2 factorise
Answer:
2(x-y-z)
Step-by-step explanation:
take common fromm all of those terms
Please help!
3x – 4 = = 35
Answer:
13
Step-by-step explanation:
3x13-4=35 Hope this helps
Step-by-step explanation:
Hope it helps.
Thank you
Find the area of the shape below
PLEASE HELP I NEED TO FINNISH THIS, I DO NOT HAVE MUCH TIME LEFT PLEASE HELPPPPPPPPPPP Thank you :)
Answer:
46.875
Step-by-step explanation:
A= l x w x h so you multiple all three numbers together and get your answer
Paul, Than, and Mike have each consumed four beers in the last two hours. Paul weighs 220 pounds, Than weighs 155 pounds, and Mike weighs 197 pounds. Who has the highest blood alcohol concentration (BAC)
Answer:
Than would
Step-by-step explanation:
since he has the lowest weight then the alcohol concentration has less place to go making his higher.