Answer:
The correct option is B. 3√2(cos(135°) + i·sin(135°))
Step-by-step explanation:
The complex number is given as : 3 - 3i
Now, comparing this with the standard for : a + bi
⇒ a = 3 and b = -3
Now, r = √a² + b²
⇒ r = √18
⇒ r = 3√2
Now, The polar form is represented by :
z = r(cosθ + i·sinθ)
⇒ z = 3√2(cos 135° + i·sin 135°)
Therefore, the correct option is B. 3√2(cos(135°) + i·sin(135°))
Step-by-step explanation:
Plz help asap, dhhdudhdhd
Answer:
x=15°
Step-by-step explanation:
Angles ∠2 and ∠4 are supplementary, so ∠2+∠4=180°
That equals to 2x+10+4x+80=180.
You can solve that equation to find what x is equal to.
2x+10+4x+80=180
6x+90=180
6x=90
x=15°
A basketball is shot into the air. Its height is represented by the polynomial equation h(t) = –16t2 + 35t + 5, where h is the height of the basketball at t seconds. What is the height of the basketball at 1 second?
Question 15 options:
A)
24 feet
B)
14 feet
C)
56 feet
D)
8 feet
Answer:
Step-by-step explanation:
Its not 56 feet, i got it wrong
The height of the basketball at 1 second will be 24 feet. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
A basketball is shot into the air. Its height is represented by the polynomial equation which is given below.
h(t) = –16t² + 35t + 5
Where h is the height of the basketball at t seconds.
The height of the basketball at 1 second will be given as,
h(1) = –16 × (1)² + 35 × 1 + 5
h(1) = –16 + 35 + 5
h(1) = –16 + 40
h(1) = 24 feet
The height of the basketball at 1 second will be 24 feet. Then the correct option is A.
More about the function link is given below.
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answer for me the question is in the pic
Step-by-step explanation:
This isn't a function. In the second quadrant there are two y-values for the x value of -2. Your answer is B.
Answer:
B
WILL MARK BRAINLIEST!!!!! ANSWER QUICK
What is the volume of the container below?
Answer:
1,584in
Step-by-step explanation:
Find the center, radius, and intercepts of the circle given below and then sketch the graph of the circle.
x²+(y-1)^2=1
Answer:
Center (0, 1)
Radius 1
x-intercept (0, 0)
y-intercept (0, 0), (0, 2)
Step-by-step explanation:
(1) A circle that has center (a, b) and radius r can have the equation as below:
(x - a)^2 + (y - b)^2 = r^2
Re-write the original equation: x^2 + (y - 1)^2 = 1, we have:
(x - 0)^2 + (y - 1)^2 = 1^2
=> The center of this circle: (a, b) = (0, 1) and the radius r = 1
(2) To find out the x-intercept, we substitute y = 0 into original equation.
=> x^2 + (0 - 1)^2 = 1
=> x^2 + 1 = 1
=> x^2 = 0
=> x = 0
=> x-intercept (0, 0)
(3) To find out the y-intercept, we substitute x = 0 into original equation.
=> 0^2 + (y - 1)^2 = 1
=> (y - 1)^2 = 1
=> y - 1 = -1 or y - 1 = 1
=> y = 0 or y = 2
=> y-intercept (0, 0) and (0, 2)
Hope this helps!
Which of the following statements are true?
Answer: It’s A
Step-by-step explanation:
What is the area of this figure?
Break it into 2 shapes :
1 = 7 x 14 = 98
2 = 5 x 5 = 25
Now add them together:
Total area = 98 + 25 = 123 square mm
Which type of statement has the form "If A, then B'?
O A. True
O B. Conditional
C. Deductive
O D. False
Answer:
B) Conditional
because it is a " if... then"
HELP PLS!!
What is the value of x?
Enter your answer in the box.
X=
Answer:
The answer is 61
Step-by-step explanation:
The anwer is 61 becuase a triangle =180
so if 67 and 52 =119 then you have to subtract that from 180 getting
61!!!!
Hope this helps
Stay safe:)
Answer:
[tex]61 \: \: degrees[/tex]
Step-by-step explanation:
[tex]67 + 52 + x = 180 \\ 119 + x = 180 \\ x = 180 - 119 \\ x =6 1 \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
PLEASE HELP WILL MARK BRAINLIEST !!!!!!! 28 pts
The price of the box of 10 markers is $7. The price of the box of 24 markers is $14. All prices without tax and the price of the boxes are the same.
Part A:
Write an equation that tells the price Y for the number of markers X.
Part B:
How much would a box of 64 markers cost?
Answer:
It costs $34 to buy a box of 64 markers.
Step-by-step explanation:
Check whether we are working with a direct proportion, in which case the comparison between the price and the number of markers would be the same.
$ 14 ÷ 24 = $0.58 and $ 7 ÷ 10 = $ 0.70
The prices differ, so they are not directly proportional.
The reason is that both prices include the price of the box, which is the same. This can be thought of as the constant.
If you were to draw a graph of price (on the y -axis) and number of markers (on the x -axis) you would get a straight line where the
y -intercept would be the price of the box and the slope would be the price of a marker. (rate of change of price)
Let's find the slope.
m = (y _2 − y _1 /x _2 − x _1)
m = ($14 −$ 7 /24− 10) = ($ 7 /14 markers) = $ 0.50 / marker
Therefore each marker costs
$ 0.50 or 50 c
the price of 64 markers is:
64 × 0.5 = $ 32.00 ← this is just the markers,
How much does the box cost? Consider
$ 7 for 10 markers at $ 0.50 each
$ 7 − 10 × $ 0.50 = $ 7 − $ 5 = $ 2
The box itself costs $2
The total cost of 64 markers in a box would be:
$ 2 + $ 32 = 34#
Which expression is equivalent to
Answer:
[tex]x^{\frac{1}{8} } y^{8}[/tex]
Step-by-step explanation:
[tex]x^{1/4 \times 1/2} y^{16 \times 1/2}[/tex]
[tex]x^{1/8} y^{8}[/tex]
Answer:
x^1/8 y^8
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
What is the Slope of the line through (-1,2) & (-3,-2)
I promise this isn't a test .-.
Answer:
2
Step-by-step explanation:
We can find the slope of the line using
m = (y2-y1)/(x2-x1)
= (-2-2)/(-3- -1)
= -4/(-3+1)
= -4/(-2)
=2
Y(1 - 2x) + xy²(I - 2x)²
Answer:
=i2xy2−4ix2y2+4x3y2−2xy+y
Step-by-step explanation:
Let's simplify step-by-step.
y(1−2x)+xy2(i−2x)2
Distribute:
=(y)(1)+(y)(−2x)+i2xy2+−4ix2y2+4x3y2
Answer: =y+−2xy+i2xy2+−4ix2y2+4x3y2
Hope this helps.
What is the scale factor of the dilation?
2
3
1/2
1/3
A blueberry grows at the rate of 0.7mm per week. If the biggest blueberry in my farm is now 4.9mm, how long has it been growing for?
Answer:
7 weeks
Step-by-step explanation:
4.9/0.7=7
The answer is not c
Answer:
the answer is a. hope this working helps
What is the perimeter of triangle PQR?
Answer:
Perimeter ⇒ 33 ( units )
Step-by-step explanation:
As you can see, the points share a common y - value, so that they should be positioned with a horizontal distance among them;
[tex]Distance Among Points ( - 9, - 2 ), and ( - 2, - 2 ) , 9 + 2 = 11 units difference,\\[/tex]
Now if the difference is 11 units, we can determine the perimeter of this equilateral Δ assuming the sides are of equal length ( ≅ ) knowing that they do ∈ to an equilateral Δ;
[tex]Side 1 Length - 11 units,\\Side 2 Length - 11 units,\\Side 3 Length - 11 units,\\\\Perimeter = 11 * 3 = 33 units,\\\\Perimeter of Triangle PQR = 33 ( units )[/tex]
Solution; Perimeter ⇒ 33 ( units )
Answer:
33
Step-by-step explanation:
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3,−2), B(6, -2), C(6, 5) D(3,5). What is the area of this rectangle
Answer:
Step-by-step explanation:
[tex]Distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\[/tex]
A(3,-2) ; B(6,-2)
[tex]AB=\sqrt{(6-3)^{2}+(-2-[-2])^{2}}\\\\ =\sqrt{3^{2}+(-2+2)^{2}}\\\\=\sqrt{9+0}=\sqrt{9}\\\\[/tex]
AB = 3 units
B(6,-2) ; C(6,5)
[tex]BC=\sqrt{(6-6)^{2}+(5-[-2])^{2}} \\\\=\sqrt{0+(5+2)^{2}}\\\\=\sqrt{(7)^{2}}\\[/tex]
BC = 7 units
Area of rectangle = length * width
= AB * BC
= 3 * 7
= 21 square units
Which rule describes the composition of transformations
that maps pre-image ABCD to final image A"B"C"D"?
Orx-axis 07-61(x, y)
O T-620rx-axis (x, v)
O Rogo T-6, 1(x, y)
OT-610 RO, 900(x,
Answer:
[tex] T_{-6, 1} \circ r_{x-axis} (x, y) [/tex]
Step-by-step explanation:
We can see in the picture that the first step is transform ABCD to A'B'C'D'. To do this, ABCD is reflected over the x-axis.
Then, A'B'C'D' should be translated -6 units to the right, that is, on the x-axis; and 1 unit up, that is, on the y-axis.
The composition transformation process is from ABCD to A'B'C'D', then
to A''B''C''D''.
Correct response:
The composition transformation is; [tex]\underline{T_{-6, \, 1} \ \circ \ r_{x - axis}(x, \, y)}[/tex]Process used for finding the composition transformationThe given coordinates of the pre-image ABCD are;
A(3, 5), B(6, 5), C(4, 1), D(1, 1).
The coordinates of the image D'C'A'B' are;
A'(3, -5), B'(6, -5), C'(4, -1), and D'(1, -1).
Therefore, the rule that gives the coordinates of A'B'C'D' from ABCD
(x, y) [tex]\underrightarrow{Rule}[/tex] (x, -y)
The rule for a reflection across the x-axis is; (x, y) [tex]\underrightarrow{r_{x-axis}}[/tex] (x, -y)
Therefore;
The rule that gives A'B'C'D', from ABCD is a reflection across the x-axis.
The rule that gives A''B''C''D'' from A'B'C'D' is the a translation 6 units left and 1 unit up, which is; [tex]\mathbf{T_{-6, \, 1}}[/tex]
Therefore composition transformation that maps pre-image ABCD to
final image A''B''C''D'' is given by a reflection followed by a translation,
with the second transformation coming first in the expression as follows;
[tex]\underline{T_{-6, \, 1} \ \circ \ r_{x-axis}(x, \, y)}[/tex]Learn more about composition transformation here:
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Peter's bank offered him a 4.85% interest rate for his mortgage. If he
purchases 3 points, what will be his new rate?
A. 0.375%
B. 1.75%
C. 4.475%
D. 4.575%
Answer:
C
Step-by-step explanation:
The new rate would be 3.75% when Peter's bank offered him a 4.85% interest rate for his mortgage. If he purchases 3 points.
What is mortgage?
A mortgage is an agreement between you and a lender that gives the lender the right to take your property if you fail to repay the money you've borrowed plus interest.
Mortgage loans are used to buy a home or to borrow money against the value of a home you already own.
Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.
A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)
New interest rate=4.5%-0.75%=3.75%
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Convert the angle \theta=\dfrac{8\pi}{9}θ=
9
8π
theta, equals, start fraction, 8, pi, divided by, 9, end fraction radians to degrees.
Answer:
[tex]160^\circ[/tex] is the degrees value of [tex]\theta = \dfrac{8 \pi}{9}[/tex].
Step-by-step explanation:
We are given the following details about the angle [tex]\theta[/tex]:
[tex]\theta =\dfrac{8\pi}{9}\text{ radians}[/tex]
It is know that the relation between radians and degree units is as follows:
[tex]\pi \text{ radians} = 180 ^\circ[/tex]
We can use simply use unitary method to convert radian value of [tex]\theta[/tex] to degrees.
[tex]\pi \text{ radians} = 180 ^\circ[/tex]
[tex]\Rightarrow 1 \text { radian}= \dfrac{\pi}{180} ^\circ[/tex]
[tex]\Rightarrow \dfrac{8\pi}{9} \text{ radians} = \dfrac{180}{\pi} \times \dfrac{8\pi}{9} ^\circ\\\Rightarrow \dfrac{180 \times 8}{9}^\circ\\\Rightarrow 20 \times 8^\circ\\\Rightarrow 160 ^\circ[/tex]
Hence, [tex]\theta = 160^\circ[/tex]
This Venn diagram has three regions.
In which region does any rhombus belong?
A
B
C
Answer:
um idk- if I got this right but I got B or C...
Answer:
A
Step-by-step explanation:
A rhombus is made up of 4 sides of equal length.
Also my sis took the quiz and that was the answer.
HOPE THIS HELPS!
and sorry I'm late
The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 121. Find the original number.
help!!!!!
Answer: 47, 74
Step-by-step explanation:
Let x = units digit
x – 3 = tens digit
Then the number is 10(x – 3) + x and the reversed number is 10(x) + (x – 3)
Equation
The reversed number plus the original number equal 121.
10(x) + (x – 3) + 10(x – 3) + x = 154
10x + x – 3 + 10x -30 + x = 121
22x – 33 = 121
22x = 154
x = 7 (units digit)
x – 3 = 4 (tens digit)
Answer
The number is (4 X 10) +7 or 47.
A student timed his drive to work each day for three days. The times are shown below:
20 minutes
22 minutes
18 minutes
What was his mean time?
Answer:
20 minutes
Step-by-step explanation:
The mean, or average of a data set can be found by adding all the values together, and dividing by the number of values.
The data set is: 20 minutes, 22 minutes and 18 minutes
1. Add the values together
Add all the numbers in the set together.
Data set: 20, 22, 18
Add them: 20+22+18
60
2. Divide by the number of values
Count how many numbers are in the set.
In this set, there are 3 numbers.
Divide 60 by 3
60/3 =20
20 minutes
His mean time is 20 minutes.
Answer:
30 minutes
Step-by-step explanation:
Mean means the average so the average equals (20+22+18)/2
= 30
Omar's credit card has an APR of 26% calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
1
End of Previous
Month Balance
$0.00
2 $301.23
3 $254.41
4 $169.46
$191.45
6 $121.58
7 $195.55
New
Charges
$301.23
$266.65
$89.54
$198.32
$165.98
$211.34
$397.54
Payment
Received
$0.00
$320.00
$180.00
$180.00
$240.00
$140.00
$340.00
Finance
Charges
$0.00
$6.53
$5.51
$3.67
$4.15
$2.63
$4.24
Principal
Paid
$0.00
$313.47
$174.49
$176.33
$235.85
$137.37
$335.76
New
Balance
$301.23
$254.41
$169.46
$191.45
$121.58
$195.55
$257.33
On what amount of money will Omar be charged interest for month 8?
A. $257.33
B. S340.00
C. $195.55
D. $397. 54
Answer:
D. $397. 54
Step-by-step explanation:
Answer:
257.33
Step-by-step explanation:
Need Help!
Find the distance between the pair of points: (2,0) and (6,-3)
Answer:
The distance between the pair of points is 5 units.
Step-by-step explanation:
The first thing we must know in order to solve this problem is the distance formula.
[tex]Distance(d)=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1})^2}[/tex]
We will use the coordinate point (2,0) for our (x₂,x₁) and the coordinate point (6,-3) for our (y₂,y₁). Now, let's plug in these numbers into our formula.
[tex]d=\sqrt{(6-2)^2+(-3-0)^2}[/tex]
[tex]d=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]d=\sqrt{16+9}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]d=5[/tex]
So, the distance between the two given points is 5 units.
For a given rectangle the length equal 3x + 2 and the width equal 5 what is the area of the rectangle
Answer:
15x + 10.
Step-by-step explanation:
To find the area of a rectangle, recall the formula is A = l × w. Therefore:
A = (3x + 2) (5)
Distribute the '5':
A = 15x + 10
Therefore, the area of the rectangle of 15x + 10.
Answer:
15x+10 units ^2
Step-by-step explanation:
The area of a rectangle can be found using:
A = l * w
The length of the rectangle is 3x+2 and the width is 5.
l=3x+2
w=5
Substitute these values into the formula.
A= 3x+2 *5
This can be rewritten as: (Commutative property of Multiplication)
A= 5* 3x+2
A= 5(3x+2)
Distribute the 5. Multiply each term inside the parentheses by the number outside the parentheses.
A= (5*3x) + (5*2)
A= 15x +10
A= 15x+10 units^2
The area of the rectangle is 15x+10 square units.
An orchard has 672 pear trees. The number of rows exceeds the number of trees per row by 4. How many trees are there in each row?
Parallelogram ABCD is rotated 45° counterclockwise using the origin as the center of rotation
-5
A
4
3
D
2 3
С
Which graph shows the image of ABCD?
Graph A
I just took the quiz on edge
The graph that shows the image of ABCD is graph A. which shows that On a coordinate plane, parallelogram A'B'C'D' has points (-2, 5), (0, 3), (0, -1.2), (-2, 1)
What is a parallelograms?A parallelogram is known to be a kind of quadrilateral angles that is known to have two pairs of parallel sides.
When you look at the options, None of them are not good matches to the real coordinates. When you round up to tenths, they should be:
A'(-2.1, 5.0), B'(0, 2.8), C'(0, -1.4), D'(-2.1, 0.7)Therefore, the closest match is graph A.
See full question below
Parallelogram ABCD is rotated 45° counterclockwise using the origin as the center of rotation. On a coordinate plane, parallelogram A B C D has points (2, 5), (2, 2), (negative 1, negative 1), (negative 1, 2). Which graph shows the image of ABCD? On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (0, 3), (0, negative 1.2), (negative 2, 1). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (negative 2, 1), (0, negative 1), (0, 3). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (3, 0), (negative 1.5, 0), (0.5, 2). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (1, 2), (negative 1.5, 0), (2.8, 0).
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How would you write 4.3756 x 104 in standard form?
Answer:
43756
Step-by-step explanation:
Multiply
We need to write the given number in standard form.
The standard form of the given number is [tex]43756[/tex].
The given number [tex]4.3756\times 10^4[/tex] is in scientific form.
The scientific form of a number is given by
[tex]m\times 10^n[/tex]
where, [tex]m[/tex] is a non zero number generally between one and ten
and [tex]n[/tex] is the exponent which is an integer.
The standard form is the product of [tex]m\times 10^n[/tex]
So, the standard form of the given number is [tex]43756[/tex].
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