Answer:
F. -15 + 9i
Step-by-step explanation:
B = (-7 -6i)
Multiply B by F = (-15 + 9i), would give;
B × F = (-7 -6i) × (-15 + 9i)
= -7 (-15 + 9i) - 6i (-15 + 9i)
= 105 -63i + 90i - 54([tex]i^{2}[/tex])
But [tex]i^{2}[/tex] = -1, so that:
105 -63i + 90i -54([tex]i^{2}[/tex]) = 105 -63i + 90i -54(-1)
= = 105 -63i + 90i + 54
= 159 + 27i
B × F = 159 + 27i
Thus the required complex number is F (-15 + 9i).
Answer:
Multiplying F with B results in the complex expression 159 + 27i:
(B)(F)
=
(-7 − 6i)(-15 + 9i)
=
105 − 63i + 90i − 54i2 (Apply the FOIL method.)
=
105 + 27i − 54(-1) (i2 = -1)
=
105 + 27i + 54
= 159 + 27i
Step-by-step explanation:
Plato answer
Ramani has 3 times as many two -rupee coins as she has five- rupee coins . If she has in all a sum of Rs.77 , then how many coins of each denomination does she have ?
Answer:
21- two rupee coins
7- five rupee coins
Step-by-step explanation:
3x(2)=5x
6x=5x
6x+5x=77
11x=77
x= 7
thus 3x(2)means she has 21-2 rupee coins and 7-5rupee coins.
All three sides and all three angles are equal in an equilateral triangle. Could this figure
also be a parallelogram?
never
always
sometimes
Answer:
never
Step-by-step explanation:
Any triangle can never be a parallelogram because it only has three sides.
quadrilateral with parallel sides is a parallelogram.
An interval estimate for the weight of a species of primates is (12, 15) kg. Find the point estimate for the species
of primates.
Answer:
12 + 15= 27/2 = 13.5 kg
Step-by-step explanation:
Karen Gaines invested $12,000 in a money market account with an interest rate of 2.25% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
on a new house. How much did Karen withdraw from the account?
(Round to the nearest cent as needed.)
Answer:
$13,724
Step-by-step explanation:
From the above question, we are given the following values:
Principal = P = $12,000
Interest = r = 2.25% = 0.0225
Compounded semi annually = n = 2
Time (t) = 6 years
From the question, we understand that we are to find the total (full) Amount Karen withdrew.
The formula to use to calculate the Total Amount of money given that this is a compound interest question is:
Total(full) Amount = P( 1 + r/n) ^n/t
= $12,000( 1 + 0.0225/2) ^2×6
= $12,000(1.01125)^12
= $13724.093289
Approximately to the nearest cent
≈ $13,724
Therefore, Karen withdrew $13,724 from the account.
Karen Gaines invested $14000 in a money market account with an interest rate of 2.75% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
Round to the nearest cent as needed.)
Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 52 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 59 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 63 degrees. The interior angle on the left is labeled as x. 35° 48° 69° 78°.
Answer:
y = 73°
x = 35°
Step-by-step explanation:
The three angles 51° , 56° and y form a straight angle.
This means that:
51 + 56 + y = 180
107 + y = 180
y = 180 - 107
y = 73°
Answer: 35
Step-by-step explanation:
hi PLLSS HELP solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation? {–22, 14} {–14, 22} {–10, 2} {–2, 10}
Answer:
{ - 2, 10 }
Step-by-step explanation:
Given
x² - 8x = 20
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 20 + 16, that is
(x - 4)² = 36 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 4 to both sides )
x = 4 ± 6
Thus
x = 4 - 6 = - 2
x = 4 + 6 = 10
Answer:
d is it
Step-by-step explanation:
Four times the difference of 17 and a number is 84.
Which equation below can be used to find the unknown number?
A) 4(17)- n = 84
B) 4 - 17n = 84
C) 17 - 4n = 84
D) 4 (17- n) = 84
Answer:
D)
Step-by-step explanation:
a number: n
difference of 17 and a number: 17 - n
4 times the difference of 17 and a number: 4(17 - n)
4 times the difference of 17 and a number is 84: 4(17 - n) = 84
One morning, Marcia works from 08 20 to 11 15.
Find how long slie works for.
Give your answer in hours and minutes.
Answer:
2:55. That's Two hours and 55 minutes.
Step-by-step explanation: From 8:20 to 11:20 would be three hours. But the actual time is five minutes less. There are 60 minutes in one hour. So change one hour to 60 minutes and subtract 5 minutes.
2:60 - :05 = 2:55
Answer:
2 hours and 55 minutes
Step-by-step explanation:
Take 11:15 and subtract 8:20
11 : 15
-8:20
------------
We need to borrow from the hours
11 becomes 10 and 1 hour = 60 minutes so add 60 to the 15
10 :75
-8:20
------------
2: 55
This is 2 hours and 55 minutes
When graphing any equation what is a great fall back plan if you can't remember the learned procedure? (on all kinds of equations - some with x squared, x cubed etc)
Answer:
Step-by-step explanation:
Arbitrarily choose a couple of x value using the given function, and write your results in a x-y table as (x, y). Plot these points. Connect them with a smooth curve. if you have any doubts about the shape of the grqph, pick more x values in the neighborhood and plot them also.
Question 4 Multiple Choice Worth 2 points
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
XY
3
4
5
67
89
O Initial value: 1, rate of change: 2
O Initial value: 1, rate of change: 1
O Initial value: 2, rate of change: 2
O Initial value: 3, rate of change: 2
action
40 thousandths= how many hundredths? I'll mark brainliest for whoever answers first :D
Answer:
Is it 0.04?
Step-by-step explanation:
Do tell me if I'm wrong please.
The value of each digit in a number is known as the place value. The number of hundredths that 40 thousandths will have is 4.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10A thousandth is the (1/1000)th part of something, while a hundredth is the (1/100)th part of something.
Let the number of hundredths be x. Therefore, the number of hundredths can be written as,
40(1/1000) = x(1/100)
0.04 = x/100
x = 4
Hence, the number of hundredths that 40 thousandths will have is 4.
Learn more about the Place Value:
https://brainly.com/question/27734142
#SPJ2
3/5 times by 210 equals
Answer:
it equals 315
Step-by-step explanation:
Does 24,7 and 26 make a right triangle
Answer:
no it doesn't
Step-by-step explanation:
Use the Pythagorean theorem(a^2 + b^2 = c^2) to find out if 3 sides will form a right angle.
Hope this helps!! :D
Answer:
these points will not form a right-angled triangle
Step-by-step explanation:
By using pythagoras theorem
(26)²=(24)²+(7)²
676=576+49
676≠625 so these points will not form a right-angled triangle
i hope this will help you :)
The number name of 70080067
In Indian System
Answer:
Seven crore eighty thousands sixty-seven.
Step-by-step explanation:
70080067
Seven crore eighty thousands sixty-seven.
Which of the following is equivalent to (x+4)(3x^2+2x)?
Answer:
C
Step-by-step explanation:
When expanding brackets, we distribute the left terms inside the right side brackets.
(x+4)(3x^2+2x)
(x + 4)(3x²) + (x + 4)(2x)
The reason why it is + (x + 4) is because the x has a positive sign.
PLZ HELP, first person to answer and get it right, I will name BRAINLIEST! and Maybe friend you?(: Thxs appreciate it! (:
Answer:
f(3) = g(3)
The last 4 answer are below in bold.
Step-by-step explanation:
The graphs intersect at the point where x = 3.
f(3) and g(3) mean the value of f(x) and g(x) when x = 3.
f(3) and g(3) are both equal to 6 at this point , so f(3) = g(3).
f(2) = 0 and g(-2) = 0
Both cost the same for 50 texts.
h(x) = 1/4 x
When x = 10, f(x) = 10/2 + 8 = 13.
A penny is dropped onto a rectangular surface. If it is equally likely for the penny to land anywhere inside the large rectangle, what is the probability that all or part of the penny will come to rest inside the shaded area? Round your answer to the nearest whole percent. A. 23% B. 26% C. 30% D. 32%
Answer:
B. 26%
Step-by-step explanation:
You have to find the area of each rectangle then divide them to find the percentage.
6x3= 18
7x10= 70
18/70= 0.2571
Move the decimal 2 spaces: 25.71%
Then you round to the nearest whole number which is 26%.
An automobile salesman receives a monthly bonus cheque if his commission income is at least $5,800.00 in a given month. There are 45 automobiles on the lot for sale and he receives a commission of $725.00 per sale. Which inequality shows the number of automobiles,x , the salesman must sell in order for him to receive a bonus cheque at the end of the month?
Answer:
x[tex]\geq[/tex]8
Step-by-step explanation:
in order to make 5800. he would need to sell 8 cars at 725. each (5,800/725.=8) so x would have to be equal to or greater that 8
Which sequence of transformations could be used to map triangle MNO onto M"N"O"? T(–2, 4) ry-axis ry-axisT(–2, 4) T(2, –4) T(2, –4)
Answer:
(A)T(–2, 4) ry-axis
Step-by-step explanation:
The graph showing triangles MNO and M"N"O" is attached below.
From the graph, the coordinates are:
M(5,-4),N(3,-2) and O(1,-3)M"(-3,0), N"(-1,2) and O"(1,1)When we transform triangle MNO by (-2,4), we obtain:
M'(3,0), N'(1,2) and O'(-1,1)
Next, we reflect M'N'O' the y-axis.
Note: When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite.
Therefore:
Reflection of M'N'O' accross the y-axis gives: M"(-3,0), N"(-1,2) and O"(1,1).Therefore, the sequence of transformations could be used to map triangle MNO onto M"N"O" is T(–2, 4) ry-axis.
The correct option is A.
Answer:
its B
Step-by-step explanation:
The speed of light is 3 • 105 kilometers per second. What is that in standard form?
Answer:
approximately 300,000,000 meters per second
Answer:
300,000
Step-by-step explanation:
Take 3 x 10^5 and simply add 5 zeros to 3. I know what you meant with your numbers', and this is the right answer.
The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
Let H be our altitude and B our base and A the area of the triangleA= (B*H)/2 ⇒ 15=(B*H)/2 H is 1cm shorter than B ⇒ B=H+1H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
a=1b=1c= -30 Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0 Δ≥0⇔ that we have two solutions x and y x= (-1-[tex]\sqrt{121}[/tex])/2= (-1-11)/2= -6 y= (-1+[tex]\sqrt{121}[/tex])/2= 10/2 = 5We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
P(8,4) is one endpoint of PQ. M(3, 1) is the midpoint of PQ. Determine the coordinates of endpoint Q.
(3 marks)
please write all the steps, summer school is rlly bad I need help.
Answer:
(-2, -2)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in our known variables and set equation equal:
3 = (8 + x)/2
6 = 8 + x
x = -2
1 = (4 + y)/2
2 = 4 + y
y = -2
A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thickness of the filament?
Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament
[tex]=0.01 \pm 0.0002 $ Inches[/tex]
We can then calculate the least allowable thickness of the filament as:
[tex]=0.01 - 0.0002 \\=0.00998$ Inches[/tex]
The least allowable thickness of the filament is 0.00998 Inches.
Mei has 8 jars of soup. Each jar contains 300 milliliters of soup. What is the smallest pot mei can use to heat all the soup? a.2 liters b.3 liters c.1 liter d.4 liters
Answer:
Option B. 3 liters
Step-by-step explanation:
First, we shall determine the total volume of soup that Mei have. This is illustrated below:
Mei have 8 jars of soup containing 300mL each. Therefore, she has a total of = 8 x 300mL = 2400mL.
Next, we shall convert 2400mL to litres (L). This can be obtain as follow:
1000mL = 1L
Therefore, 2400mL = 2400/1000 = 2.4L
Mei have 2.4L of soup.
Since the total volume of the soup that Mei have is 2.4L, she will be needing a minimum of 3L pot to heat up all the soup.
at the end of the football season
Answer:
WHAT?
Step-by-step explanation:
VGTFTUNJMKL
Answer:
Fat monkey
Step-by-step explanation:
What ?
The point (1, 3) maps to (-1, 4). Which of the following rules would generate this transformation?
(х + 4, у – 2)
(х + 2, у – 1)
(X - 2, y + 1)
(x - 4, y + 2)
Answer:
(x-2,y+1)
Step-by-step explanation:
from point (1, 3) to (-1, 4).
x=1 to x=-1
x-2=-1
1-2=-1
from y=3 to y=4
y+1=4
3+1=4
Mrs. Nelson asked students in her class to translate the statement “Remy lost some of the $14 his mom gave him” into an algebraic expression. Four students’ solutions are shown below. Alice: 14 minus x He had $14, then he lost (subtraction) an unknown amount (x). Bobby: x minus 14 He had an unknown amount of money (x) and he lost (subtraction) $14. Camila: 14 greater-than x He had $14 more than (>) the unknown amount (x) he lost. Daniel: 14 less-than x He had $14 less than (<) the unknown amount (x) he lost. Which student’s solution is correct? Alice Bobby Camila Daniel
Answer:
Alice
Step-by-step explanation:
First we need to translate the statement and then pick from the ones given.'
So, Remy lost some of the $14 his mom gave him.
Key word Lost Some
He had 14 and lost some (x)
Lost = Minus ( - )
14 - x
Alice: 14 - x. He had $14, then he lost (subtraction) an unknown amount (x).
This answer matches our answer, therefore;
Alice: 14-x. Then he lost (subtraction) an unknown amount (x).
Answer:
A)14-x which is for Alice
Step-by-step explanation:
it says remy lost of the $14 his mother gave him it means his mom gave him $14 but he misplaced some of it ,so the expression will be 14-x
WILL MAKE BRAINLYEST PLEASE SOME ONE ANSWER MY QUESTION PLEASETo write the best estimate for the following product in scientific notation, what should be the power of ten?
Answer:
2.9403x10^15
Step-by-step explanation:
plsss mark as brainliestt :)
Answer:
2.9403x10^15
Explain:
doodidopdpop
Can someone explain how to work this out please
Answer:
8/37
Step-by-step explanation:
First subtract 450 - 370.
450 - 370 = 80
Then put it into fraction form where the increase is the numerator and the cost from last year is the denominator.
80/370
Then, simply the fraction (if possible).
8/37
Answer:
i think you have to subtract 450-370 and remember that number (80) then i think you add 370+450 (820) and then see how many 80s can go into 820 (10.2 i believe) and then that's it
Step-by-step explanation:
i believe thats it, sorry if wrong but im trying
Which of the following is the graph of the quadratic function? y=x^2+4-12
Answer:
Graph B
Step-by-step explanation:
The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis
Now the first thing we will do here is to solve the quadratic equation graph;
x^2 + 4x -12 = 0
x^2 +6x - 2x -12 = 0
x (x + 6) -2(x + 6) = 0
(x-2)(x + 6) = 0
x = 2 or -6
So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation
Graph B is the closest to what we have as answer