Answer:
F.(8-√-11)(8+√-11)
8²-11²i²
8²-121×-1
64+121
=185
G.
(3+i)(2+i)
6+3i+2i+i²
6-1+5i
5+5i
H.
(4+6i)+(-7-7i)
5+6i-7-7i
-2-i
i.
i^24
(i^2)^12
=1
J.
(-3+10i)-(-5+4i)
-3+10i+5-4i
2+6i.
The simplified form of the expressions are 185, G. 5 + 5i, H. -2 - i, I. 1, j. 2 + 6i.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
F. (8-√-11)(8+√-11)
[tex]8^2 - 11^2 i^2\\8^2 - 121 \times -1\\64+121\\=185[/tex]
G.
(3+i)(2+i)
[tex]6+3i+2i+i^2\\6-1+5i\\5+5i[/tex]
H.
[tex](4+6i)+(-7-7i)\\5+6i-7-7i\\-2-i[/tex]
i.
[tex]i^24(i^2)^12=1[/tex]
J.
[tex](-3+10i)-(-5+4i)\\-3+10i+5-4i\\2+6i.[/tex]
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Zoey took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1. 20 plus $3. 25 per mile. The total fare was $40. 20, not including the tip.
Write and solve an equation which can be used to determine , the number of miles
in the taxi ride.
Equation:
I
Answer: I =
Submit Answer
The equation and the answer of this question is 1.20 + 3.25x = 40.20, x = 12
According to the information that has been provided to us, the cost that the taxi company charged was $1.20, in addition to $3.25 per mile, for a total fare of $40.20.
Therefore, the equation would be:
1.20 + 3.25X = 40.20
To find the distance from Zoey’s house to the airport we need to calculate the value of X
1.20 + 3.25X = 40.20
3.25X = 39
X = 39 : 3.25
X = 12 miles
As a result, the distance from the house to the airport would be around 12 miles.
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Geometry questionnn! Please help
Answer:
d
Step-by-step explanation:
you need to match up the sides, heres a drawing it doesnt have work on it but I just looked at the sides while reading the choices and the ones that matched up to the correct sides was D
Answer:
D when you draw the triangles, those sides would be similar.
Six cars pull up to a red light, one at a time. At the light, there are three lanes, one left-turn lane, one straight-going lane, and one right-turn lane. How many ways can the cars stack up so that all three lanes are occupied
According to the probability, there are 540 arrangements that can the cars stack up so that all three lanes are occupied.
How is card probability determined?Mathematicians use addition and division as well as counting to calculate probability.
There are three partitions of six using digits 1-3.
(4,1,1), (3,2,1), (2,2,2) (2,2,2)
These could be dispersed between the lanes in order that
(3) Possible solutions to (4,1,1)
There are six possible ways to solve the equation (3,2,1).
There is only one possible solution to the equation (2,2,2).
Cars must now move in the lanes in proper order.
The arrangements for (4,1,1) will be 6C4 * 2C1 = 30. Six cars are chosen, sorted, and placed in the appropriate lanes. then decide on 1 of the 2 surviving vehicles.
then place it in a lane.
The arrangements for (3,2,1) will be 6C3 * 3C2 = 60.
There will be 6C2 * 4C2 = 90 arrangements for (2,2,2).
Consequently, there will be 540 arrangements (3*30 + 6*60 + 1*90 = 90+360 + 90).
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h(a) = a^2 + 4 when a = -3
Answer:
[tex] \sf \: h(-3) = 13[/tex]
Step-by-step explanation:
Given information,
→ h(a) = a² + 4
The value of h(a) when a is -3,
→ h(a) = a² + 4
→ h(-3) = (-3)² + 4
→ h(-3) = 9 + 4
→ [ h(-3) = 13 ]
Hence, required answer is 13.
help me please !!!!!
Answer:
The answer is $28,620.
Step-by-step explanation:
$53,000 * 2.7% = 1431
$1,431 * 20 = $28,620
Hope this helped you!!!
Reuben bought 6 boxes of chocolates. Each box cost $7.36. How much did he spend?
Answer:
$44.16 he spent on chocolate
How is rotation and dilation similar?
Rotation is the process of turning a figure a specific amount around a point. When we dilate a figure, we increase or decrease its size.
The circular movement of an item about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are many conceivable central axes and rotating orientations for a three-dimensional object.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.
On a coordinate plane, forms can be rotated and dilated in addition to translated and reflected. When a shape is rotated, the new shape is consistent with the old. When you dilate a shape, the resulting shape is similar to the original.
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could anyone help me with this?
Answer:
[tex]A(t) = a(1+r)^t\\\\A(10) = 2000( 1+ .04)^{10}\\\\[/tex]
= $2960.49
option 1
simplify the equation b^5•b^8
Together, teammates Pedro and Ricky got 2861 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each player have
Answer:
Ricky 1292 Pedro 1569
Answer: Ricky had 1292, Pedro had 1569.
Step-by-step explanation: First, you subtract 277 from 2861, then divide that by 2 to find how many hits Ricky had. You then add back the 277, and you get Pedro’s hits.
How many more houses have an area between 150 and 200 than 250 and 300?
If 2E measures 45, ZF measures 98°, and e is 5 feet, then find f using the Law of Sines. Round y
nswer to the nearest foot.
e
4 feet
5 feet
6 feet
7 feet
Answer:
7 feet
Step-by-step explanation:
What is the measure of arc FH?
Answer:
140
Step-by-step explanation:
The measure of arc of FH is 140.
What is Arc?The arc of a circle between two distinct locations is known as a circular arc.
One of these arcs, the minor arc, subtends an angle at the circle's center that is less than radians (180 degrees), and the other arc, the major arc, subtends an angle higher than radians if the two points are not exactly opposite one another.
A circle's arc is referred to as a portion or section of its circumference. A chord of a circle is a straight line that joins the two ends of the arc. A semicircular arc is one whose length is exactly half that of a circle.
Therefore, The measure of arc of FH is 140.
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If 2 of the 1000 test subjects are randomly selected find the probability that they both had false positive results. Is it unlikely to randomly select 2 subjects and get 2 results that are both false positive results
Using the concept of conditional probability and the conditions provided, The answer is [tex]\frac {p^2}{2pq}[/tex] .
What do you mean by probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities can be calculated using the ratio of the number of favorable outcomes to the total number of possible outcomes. It helps us to understand the uncertainty of events.
What do you mean by false positive results?A false positive result is when a test indicates that a particular condition or attribute is present, when in reality it is not. For example, in medical testing, a false positive result would occur when a test for a disease returns a positive result but the person being tested does not actually have the disease. False positives can have serious consequences, as they can lead to unnecessary treatments, further testing, and anxiety for the person being tested.
p=probability of occurrence
q=1-p
P(false positive for both subjects | false positive for one subject) = P(false positive for both subjects and false positive for one subject) / P(false positive for one subject)
P(false positive for both subjects | false positive for one subject) = p^2 / (2pq)
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Help me on this one too please
Answer:
12. False True True False
13. Table A: f(x)=9 x=-1
Step-by-step explanation:
for table B and C the data is blurry so I cannot tell. try using math.way
Answer:
12. False, True, True, True
13. Table A, Table C, Table B
For each expression, write an equivalent expression in standard form. Show your reasoning. (x-2) (x+2)
please help!
Answer: x^2-4
Step-by-step explanation:
(x-2)(x+2)
x^2-2^2
x^2-4
Xxxxxxxxxxxxxxxxxxxx
Answer:
XXXXXXXXXXXXXXXXXXXX Ion know
WILL GIVE BRIANLIST
:The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F.
What was the average temperature for the day?
Responses
−3°F
negative 3 degrees F
−1°F
negative 1 degrees F
1°F
3°
Answer:
Step by step explanation:
To find the average temperature, you take the three different temperatures you had throughout the day and divide them by how many different kinds there are. (3).
This means that the average is 1°F. This is because you have to add -3 + 12 + (-6) = 3.
Then you have to divide 3 by the amount of numbers you need to average between. In this case, you have to divide 3 by 3.
So, your final answer is:
The average temperature for the day was 1°F
If the volume of a sphere is 36pi cubic units, what is the radius?
- 4 square root 3 units
- 9 units
- 3 units
Answer:
3 units
Step-by-step explanation:
I'm not sure how to explain it but I hope it helps.
Help it’s due in thirty minutes!!!!
Answer:
-4
Step-by-step explanation:
-5 + ______ = -9
-5 + -4 = -9
Answer:
4
Step-by-step explanation:
-5-(-9)
please also show the steps to get the answer
Answer:
95 degrees
Step-by-step explanation:
Angle S is 95 so arc QR = 95×2 = 190
Total arc is 360 degree
Now to find arc QS
arc QS + arc SR + arc QR =360
arc QR + 75 + 190 =360
arc QR = 360- 265
arc QR = 95 degrees
Which equation best describes the line shown on the graph?
Answer:
x = -2
Step-by-step explanation:
What would the answer be?
Answer:
[tex]w^{2}[/tex]
Step-by-step explanation:
Find an expression which represents the difference when (-3x - 9y) is subtracted from (-4x + 6y) in simplest terms.
Answer:
15y - x
Step-by-step explanation:
(-4x + 6y) - (-3x - 9y) = -4x + 6y + 3x + 9y
combine like terms:
15y - x
Jim wrote the following derivation of a term with a rational exponent based on a term consisting of a radicand that is less than 0
The equivalent form [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex]can be determined where the origin of the numerator of 1.
When rewriting a radical with a fractional exponent, the numerator is the power to which the radicand is increased, and the denominator is the root or index.
The link between [tex][latex] \sqrt[n]{{{a}^{m}}}[/latex]and [latex] {{a}^{\frac{m}{n}}}[/latex][/tex]also applies to rational exponents with a numerator of 1. For instance, the radical [tex][latex] \sqrt[3]{8}[/latex][/tex]
can also be expressed as [tex][latex] \sqrt[3]{{{8}^{1}}}[/latex][/tex].
Since any number retains its value when raised to the first power, [/latex]. Now that you have the equivalent form of [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex], you can determine where the origin of the numerator 1.
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Find the value of x
Pls help
Answer:
9
Step-by-step explanation:
Angles should be equal
If you start with 1 marble in a jar and double the amount of marbles in a jar every minute, you will fill the jar in 60 minutes. How many minutes will it take for the jar to be half full?
Answer: 59min
Step-by-step explanation:
Find the a if c = 5
;;;;;;
Answer:
Step-by-step explanation:
Solve this by writing an equation of ratios:
1 a
----- = -----
√3 5
5
Then 5 = √3*a, or a = -----------
√3
5√3
Rationalize the denominator: a = ----------
3
if the graph of the equation equals y=3^x is reflected on the x-axis, the equation of the reflection is
The following system of equations is _____.
y = - x +
2x + 6y = 4
independent
inconsistent
equivalent
Answer:
"equivalent"
Step-by-step explanation:
Right!!