Answer:
[tex]\left( 3-2i\right) \left( 3+2i\right) =13[/tex]
Step-by-step explanation:
Note :
i² = −1
(a - b)(a + b) = a² - b²
________________
[tex]\left( 3-2i\right) \left( 3+2i\right) =3^{2} - (2i)^2[/tex]
[tex]=9 - (2)^2\times i^2[/tex]
[tex]=9 - 4(i)^2[/tex]
[tex]=9-4\times(-1)[/tex]
[tex]=9+4[/tex]
[tex]=13[/tex]
Answer: (3 – 2i)(3 2i)=13
Step-by-step explanation:
edge2020
Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below. Variance squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction Variance squared = StartFraction (9) squared minus (32) squared +
BACK
Answer:
The answer is 274
Step-by-step explanation:
Given;Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78.To Find;Variance:-Now,
Definition of Variance:
Variance is the value of the squared variation of the random variable from its mean value, in probability and statistics.So,
[tex] \frac{ {(87 - 78)}^{2} + ( {46 - 78)}^{2} + (90 - 78) {}^{2} + ({78 - 78)}^{2} + ( {89 - 78)}^{2} } {5} [/tex]
[tex]Var(X) \: = \frac{1370}{5} = 274 \\ [/tex]
Thus, The variance of the sequence is 274.
Sloane kicked a soccer ball off the ground at a speed of 48 feet per second. the height of the ball can be represented by the function h(t) = −16t2 48t, where t is the time in seconds. how many seconds did the ball travel before returning the ground? t = 0.33 seconds t = 3 seconds t = 16 seconds t = 48 seconds
Considering the function for it's height, it is found that the ball traveled for 3 seconds before returning to the ground.
What is the function for the ball's height?The height of the ball after t seconds is given by:
h(t) = -16t² + 48t.
It is at the ground at the instants of t for which:
h(t) = 0.
Hence:
-16t² + 48t = 0
-16t(t - 3) = 0.
We want t different of 0, hence:
t - 3 = 0 -> t = 3.
The ball traveled for 3 seconds before returning to the ground.
More can be learned about functions at https://brainly.com/question/25537936
Answer:
3 seconds is the answer
Step-by-step explanation:
Which measure would be best to estimate the amount of fabric
necessary to make an umbrella?
1) volume of a sphere
2) surface area of a sphere
3) volume of a hemisphere
4) surface area of a hemisphere
Surface area of a hemisphere would be best to estimate the amount of fabric necessary to make an umbrella.
What is hemisphere?A three-dimensional solid called a hemisphere is exactly half the size of a sphere.
To find the amount of fabric that is necessary to make the umbrella.
Since, the shape of umbrella is like hemisphere.
And to find the amount of fabric of umbrella would be equal to surface area of hemisphere.
Implies that,
Amount of fabric of umbrella = surface area of hemisphere.
Hence, option (D) is correct.
To know more about Hemisphere on:
https://brainly.com/question/23178590
#SPJ2
express the following rational algebraic expression to its simple form.show your solution
2. 3×-12/ 5× - 20
Question
express the following rational algebraic expression to its simple form.show your solution2. 3 × - 12 / 5 × - 20Answer
[tex]→ \frac{3 \times - 12}{5 \times - 20} \\ [/tex]
[tex] \sf \: solution→ \sf \: factor \: the \: expression \: \frac{7(a + b)}{ {a}^{2} - b } \\ [/tex]
[tex] \sf \red{ answer \: is→ \frac{9}{a - b}} \\ [/tex]
Need help.............................
Answer: The answer is 8
Step-by-step explanation: If you round 9 52/69 you get 10 approximately and -1 29/50 is approximately -2 so 10-2=8
how many seconds does it take the second hand of a clock to rotate through an angle of 72
each minute pass by, the second hand rotate 360 degrees while minute hand rotate 6 degrees= 1/60 angle rotation of second hand. Let assume that the starting time is 12:00 hour, zero minute and zero second exactly .
by this simple method you can figure out your answer that what actually it is.
GOOD LUCK !
Solve the equation 2×-31=3(×+2)
Answer:
x=-37
Step-by-step explanation:
First, rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
2*x-31-(3*(x+2))=0
(2x - 31) - 3 • (x + 2) = 0
Pulling out like terms
3.1 Pull out like factors :
-x - 37 = -1 • (x + 37)
Equation at the end of step
-x - 37 = 0
Solving a Single Variable Equation:
4.1 Solve : -x-37 = 0
Add 37 to both sides of the equation :
-x = 37
Multiply both sides of the equation by (-1) : x = -37
The major key with 2 flats is the key of _____. f major e♭ major a♭ major b♭ major *subject is music*
The major key with 2 flats is :
B♭ major
Answer:
The key of B♭ major has two flats
Step-by-step explanation:
An accidental sign consisting of two flat symbols ♭that lower a note by two half steps two semitones. The double flat symbol alters the pitch of the note to which it is attached as well as any subsequent occurrence of the same note identical line or space in the same measure.
Hope this helps
~Heaven~
The figure formed by (−3, 2), (−4, 1), and (−1, −5) is translated 3 units right and 5 units up. What are the coordinates of the new figure?
Translating the figure involves chaging the position of the figure
The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
The coordinates of the new figureThe coordinates are given as:
(−3, 2), (−4, 1), and (−1, −5)
The rule of translation 3 units right and 5 units up is:
(x + 3, y + 5)
So, we have:
(−3 + 3, 2 + 5), (−4 + 5 , 1 + 5), and (−1 + 3, −5 + 5)
Evaluate the sum
(0, 7), (1 , 6), and (2, 0)
Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
Read more about translation at:
https://brainly.com/question/11468584
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=26 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
ΔEDF is congurent with ΔBDC
DE/EF = DB/BC
The length of the ED is √182.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
EF is parallel to BC.
This means,
ΔEDF is congurent with ΔBDC
So,
DE/EF = DB/BC
BC = 2ED
DB = 26
EF = 14
Now,
DE/EF = DB/BC
DE/14 = 26/2ED
2ED² = 14 x 26
ED² = 7 x 26
ED = √182
Thus,
The length of the ED is √182.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
4. Ryan bicycled 100 miles from his home. The table shows his distance, in miles, from home at different times.
What was Ryan's average speed?
A. 5 miles/hour
B. 20 miles/hour
C. 10 miles/hour
D. 25 miles/hour
Ryan's Distance From Home
Time (hours) Distance
(miles)
1.5 30
2 40
2.5 50
3 60
Answer:
20 miles/hour
Step-by-step explanation:
To find the average speed you can divide the Distance by time.
30 ÷ 1.5 = 20
40 ÷ 2 = 20
50 ÷ 2.5 = 20
60 ÷ 3 = 20
Find the surface area of the triangular prism shown below.
the surface area should be 544 (whatever the unit is)
Step-by-step explanation:
You start by taking the rectangles on the side and finding their area.
1. (10×14)×2 ←Because there are two rectanglular sides.
2. find the area of the triangles on the side. 1/2bh = area of triangle.
(.5×8×6)×4 ← in order to find the area for all of the triangles.
3. lastly take the base of the prism and find the area then add the previously found values together.
(12×14)+(.5×8×6)×4+ (10×14)×2 = 544
(100 POINTS AND BRAINLIEST) Please use the answers that are given. Using the following data, calculate the mean absolute deviation
What is the mean absolute deviation for these data? DATA:
1 6 5 8 3 7 1 4 10 9
A: 9
B: 5.4
C: 5
D: 2.6
Answer:
2.42
Step-by-step explanation:
First, we need to find the mean
Add up all the number
1+6+5+8+3+7+1+4+10+9 = 54
Count up all the numbers (found in data)
10
Then, divide
54/10 = 5.4
Then find the absolute difference between each point and the mean and sum them together and divide by the number of points
((5.4-1)+(5.4-6)+(5.4-5)+(8-5.4)+(5.4-3)+(7-5.4)+(5.4-1)+(5.4-4)+(10-5.4)+(5.3-9)) ÷ 10
24.2 ÷ 10 = 2.42
2.42
Answer:
2.42
Step-by-step explanation:
4. Sebastian's lemonade recipe uses 4 cups
of water and 1 cup of lemon concentrate.
What is the percentage of the lemonade
recipe that is lemon concentrate,
whats 50% of 1/2 of a mile
Answer:
0.25 or 1/4
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
Half of half a mile is one quarter mile: (1/2)(1/2) = 1/4
Which graph represents the equation ? [ x - 1/2 ]^2 + [ y + 5/2 ]^2 = 1/4?
Answer: 2
Answer:
B
Step-by-step explanation:
center (1/2,-5/2)
radius=1/2
SNOWMOBILES Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours. What is the hourly rate Bruce charges to rent a snowmobile
Answer:
The answer is 33.75 per hour
Step-by-step explanation:
Divide 135 by 4
3. Make Sense and Persevere The circumference of the inner
circle is 44 feet. The distance between the inner circle and the outer
circle is 3 feet. By how many feet is the circumference of the outer
22
circle greater than the circumference of the inner circle? Use ?
for . Round to the nearest hundredth of a foot.
Answer:
9.42 feet more
Step-by-step explanation:
the outer circle is 53.42 feet
hope this helps :)
if the circumference of a round plate is a little over 31 inches. Estimate the diameter of the plate
Answer:
Step-by-step explanation:
diameter = circumference / π
= 31/π
= 9.9 ins to nearest tenth
A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the guy wire. After placing the pole, Marques measures the distance from the stake to the pole to be 3 ft. He then measures the distance from the pole to the tower to be 22 ft. Find the length of the guy wire, to the nearest foot.
The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.
How to solve the length?Here, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
First, find AB:
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Then, apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft
Therefore, the length of the guy wire is 207 ft.
Learn more about Pythagorean theorem on:
brainly.com/question/654982
Please help me solve this problem ASAP
I have a huge test coming up and I need to understand the questions
Answer:
1.25w
Step-by-step explanation:
w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here is how to solve it:
[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. if lucas been able to save this money for the year and then put it into a savings account earning 1.8% simple interest, how much money could he have in savings after 3 more years? a. $1,649.72 b. $1,055.10 c. $1,019.06 d. $1,001.04
The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
[tex]I=\dfrac{Prt}{100}[/tex]
Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,
[tex]P=83.42\times12\\P=1001.04[/tex]
The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,
[tex]I=\dfrac{1001.04\times1.83}{100}\\I=54.06[/tex]
The total total amount in his bank account after 3 years is,
[tex]A=P+I\\A=1001.04+54.06\\A=1055.10[/tex]
Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
Learn more about the simple interest here;
https://brainly.com/question/2294792
Answer:
b.
$1,055.10
Step-by-step explanation:
right on edg 22
How do solve a system of equations
Answer:
you have 3 way which one you want comparison supstitution or the third one
HELP!!! ASAP!!!
construct a sequence of ten numbers with the same property using each of the numbers from 1 to 5 twice
1+1+2+2+3+3+4+4+5+5 is your answer. If it's wrong I'm sorry
find the area of a triangle two sides of which are 8cm and 11 cm and the perimeter is 32
the area of the triangle.
solution:area of triangle= 1/2 × h × b
= 1/2 × 8 × 11
= 44cm^2
Answer:
44
Step-by-step explanation:
8+11=1932-19=13area of a triangle=½×base×height
13~hypotenuese½×8×11=44cmhope that hepls
incase u have any question coment belowUsing factor (2u – 1), sin(x) = Using factor (5u + 1), or sin(x) =
Answer:
sin(x)= 1/2 or sin(x)= -1/5
Answer: a c d e
Step-by-step explanation:2nd part
Factor 10a^3 b ^2 −5a^2 b+15a^2 b^3 PLS HELP IM STUCKK
[tex]10a^3b^2-5a^2b+15a^2b^3\\\\=5a^2b(2ab-1+3b^2)[/tex]
how to compare 10.5 to 11 and 19
Answer:
Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**
Step-by-step explanation:
You need to line each number up.
10.5
11.0
19.0
The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.
This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.
A. >
B. <
C. =
D. none of the above
Answer:
[tex]3.14 \times 10 ^{3} < 2.6 \times 10^{3} [/tex]
Step-by-step explanation:
[tex]3.14 \times 10 ^{3} [/tex]
[tex]3140[/tex]
[tex]2.6 \times 10 ^{4} [/tex]
[tex]26000[/tex]
The area of a rectangle is
3/8 in and the length is 5/8 What is the width?
Answer:
The width W is :
[tex]W=\frac{3}{5}[/tex]
Step-by-step explanation:
Let A be the area of the rectangle
Let L be the length of the rectangle
Let W be the width of the rectangle
______
Formula:
A = L × W
__________
[tex]\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}[/tex]
