Answer: 336+6i
The key to solving this problem is to choose which parts you should solve first.
2i(3-4i)+8(4-5i)(4+5i)
let's divide this expression to three parts:
2i(3-4i), 8 and (4-5i)(4+5i)
first let's solve 2i(3-4i):
2i(3-4i) =
2i × 3 + 2i × -4i =
6i - 8i² =
6i + 8
(4-5i)(4+5i):
(4-5i)(4+5i) =
16 + 20i - 20i -25² =
16 + 25 =
41
8(4-5i)(4+5i):
8(4-5i)(4+5i) = 8 × 41 = 328
Now let's put back these parts:
2i(3-4i)+8(4-5i)(4+5i) =
6i + 8 + 328 =
6i +336 OR 336 +6i
Nancy put 80 acorns in her backyard. Then, she made a graph of how many acorns different types of squirrels
ate.
how many acorns were left after the squirrels ate?
Answer:
16
Step-by-step explanation:
If we take the partial image to be 1/2 of a full image, then there are a total of
5 1/2 + 2 + 6 + 2 1/2 = 16
acorn images on the graph. Each image represents 4 acorns, so a total of ...
4 × 16 = 64
acorns are represented on the graph. Since these are ones the squirrels ate, the remaining 80 -64 = 16 acorns were left uneaten.
In an isosceles triangle, the longest side measures c units. The other sides of the triangle measure a units. Which equation can be used to determine if the triangle is a right triangle?
a squared = c squared
2 a squared = c squared
a Superscript 4 Baseline = c squared
2 a = c
Answer:
2a² = c²
Step-by-step explanation:
Right triangles follow the Pythagorean Theorem, a² + b² = c². The hypotenuse (c) must be the longest of the sides. In the given triangle, both legs measure a units. So, a = b. Therefore, we have a² + a² = c² or 2a² = c².
The equation can be used to determine if the triangle is a right triangle is c² = 2a².
What is Pythagorean Theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.
The longest side measures c units.
The other sides of the triangle measure a units.
As, we know that longest side is the Hypotenuse.
Using the Pythagorean Theorem
H² = P² + B²
c² = a² + a²
c² = 2a²
So, the Correct statement is c² = 2a².
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Solve for x.
0.3 (12x – 16) = 0.4(12 — 3x)
A: 2
B: -4
C: 4
D: -2
Answer:
Step-by-step explanation:
the answer is 2 if you go to the website www.tiger-algerbra.com>drill>0.3(12x-16)=0.4(12-3x)
A container holds 2/3 gallon of apple juice if four people from the cross country track trans share the juice equally how much juice will each team member get
Answer:
you divided and the answer is 1/6
Step-by-step explanation:
Answer:
1.) You would divide to solve this problem.
2.) Each runner will get 1/6 gallon of apple juice.
Step-by-step explanation:
I'm SO sorry for the late answer, but I do hope this helps! Have a good day and stay safe! :D
(I'm not sure on how to explain this answer, sorry!)
The population of a small town can be described by the equation PN equals 4000+70n. Where n is the number of years after 2005. Explain in words what this equation tells us about how the population is changing.
Answer:
The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).
ALG II NEED HELP QUICK WILL MARK BRAINLIST
Answer:
type the question that is the answer
Step-by-step explanation:
A random sample of individuals living in a country reveals that most of its population is between the ages 0 and 29. What would this country's age pyramid look like?
Step-by-step explanation:
The Population pyramids or the age pyramid visualizes the demographic structure of any population. It is the graphical illustration which shows the distribution of the various age groups in the population.
The width of the pyramid represents the size of a population for a given age. Men are shown to the left and the women on the right.
The population pyramid between the age group will look like a pyramid with a very large width at the bottom and narrowing top.
The relationship between two variables is inverse when a decrease in one variable is associated with an increase in the other variable. A. False B. True
Answer: True
If one variable goes down, then the other goes up, and vice versa. Think of it like a see-saw. We'll have x on one side pushing down to make y go up. An example of this would be y = 1/x which graphs out a hyperbola.
The statement "two variables is inverse when a decrease in one variable is associated with an increase in the other variable." is True statement.
What is Inverse Proportion?One kind of proportionality relationship is inverse proportion. If two quantities are inversely related, one will increase while the other will decrease. Building a wall would be an example of an inverse proportion in action.
Given:
We know in direct relation if one quantity increase then another quantity increase.
and, in Inverse Relation if one quantity increase then other Quantity decrease.
So, two variables is inverse when a decrease in one variable is associated with an increase in the other variable is true statement.
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I want the answer for this doubt Click on the link
Answer:
[tex] {x}^{2} = 16 \\ x = 4 \\ y = 1[/tex]
Solve for b.
5 = b/2
Answer: b=10.
Step-by-step explanation: 5=b/2 b/2=5 2b/2=(5)(2) b=10
(1. - 2.9), (3, - 1.9), (3, 3), (1, 2)
Fallon connects the points to make a polygon. Which shape does she draw?
f
A
square
B
rectangle
С
trapezoid
D
parallelogram
The width of a rectangle measures (5.5d+9.7f)(5.5d+9.7f) centimeters, and its length measures (5.1d-3.5f)(5.1d−3.5f) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. 21.2d+12.4 B. 9.7−7f+21.2d C. 21.2d+12.4f D. 6.2+10.6d
Answer: C. 21.2d+12.4f
Step-by-step explanation:
Given, The width of a rectangle measures[tex](5.5d+9.7f)[/tex] centimeters, and its length measures [tex](5.1d-3.5f)[/tex] centimeters.
Perimeter of rectangle = 2 (length + breadth)
[tex]= 2 ((5.5d+9.7f)+ (5.1d-3.5f) )\\\\=2 (5.5d+9.7f+5.1d-3.5f)\\\\= 2(5.5d+5.1d+9.7f-3.5f)\ \ \ [\text{Combine like terms}]\\\\= 2(10.6d+6.2f)\\\\= 21.2d+12.4f\ \ \ [\text{Multiply 2 inside the bracket}][/tex]
Hence, the correct option is C. 21.2d+12.4f .
HELP ME PLEASE IM NOT GOOD AT MATH!!!! 4
Answer:
The answer should be 1/12 because a a cube has 6 sides rolling it twice would make it 12.
Hope This Helps!
Riangle ABC is isoscelesGJ bisects ∠FGH and is a perpendicular bisector of FH. Triangle F G H is cut by perpendicular bisector G J. Line segments F J and J H are congruent. Angle F G J and J G H are both 30 degrees. What is true of triangle FGH? It is a right triangle. It is an obtuse triangle. It has exactly 2 congruent sides. It has exactly 3 congruent sides.
Answer:
It has exactly 3 congruent sides.
Step-by-step explanation:
Since ∠FGJ = ∠JGH = 30° and GJ is a perpendicular bisector of FH, ∠GJF = 90°. So in ΔFGJ, ∠FGJ + ∠GJF + ∠GFJ = 180°.
So, 30° + 90° + ∠GFJ = 180°
120° + ∠GFJ = 180°
∠GFJ = 180° - 120°
∠GFJ = 60°
Also, since GJ is the perpendicular bisector of FH, ∠GJH = 90°. So in ΔJGH, ∠JGH + ∠GJH + ∠JHG = 180°.
So, 30° + 90° + ∠JHG = 180°
120° + ∠JHG = 180°
∠JHG = 180° - 120°
∠JHG = 60°
Since ∠FGH = ∠FGJ + ∠JGH = 30° + 30° = 60°
Since ∠FGH = ∠GFJ = ∠JHG = 60°
So, ΔFGJ is an equilateral triangle. Since all its angles are equal, so also, all its sides are equal. So, ΔFGJ is congruent by SSS and AAA so its 3 sides are congruent.
So exactly 3 sides are congruent in ΔFGJ.
Answer:
It has exactly 3 congruent sides
Step-by-step explanation:
took the unit test on edg 2020
16= -16h i have no clue what the answer is so ya :/
Answer:
Hey there!
-16h=16
Divide both sides by -16
h=-1
Hope this helps :)
Answer:
h = -1
Step-by-step explanation:
inverse operation:
16 = -16h
divide by -16 on both side
-1 = h
b/11-6b/11=10/11 solve for b asap
I hope this helps you
b-6b/11=10/11
-5b=10 (divide -5 both of sides)
b=-2
M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM
Answer:
[tex]AM =40[/tex]
Step-by-step explanation:
Given
[tex]AM = 5x + 10[/tex]
[tex]MB = 4x + 16[/tex]
Required
Determine AM
Since M is the midpoint, we have that;
[tex]AM = MB[/tex]
Substitute values for AM and MB
[tex]5x + 10 = 4x + 16[/tex]
Collect Like Terms
[tex]5x - 4x = 16 - 10[/tex]
[tex]x = 6[/tex]
To solve for AM; substitute 6 for x in [tex]AM = 5x + 10[/tex]
[tex]AM = 5 * 6 + 10[/tex]
[tex]AM =30 + 10[/tex]
[tex]AM =40[/tex]
Brian is on the swim team. Each day he swims 900 m. How many kilometers does he swim each day?
Answer:
he swims 0.9 kilometers each day.
Step-by-step explanation:
Answer:
He swims 0.9km each day.
Step-by-step explanation:
To convert m to km divide by 1000
900/1000 =0.9
Solve for m: am/c = n
Hey there! I'm happy to help!
We want to get m all by itself on one side of the equation. To do this, we use inverse operations on both sides of the equation to cancel out variables on one side to isolate m.
am/c=n
We multiply both sides by c.
am=nc
We divide both sides by a.
m=(nc)/a
I hope that this helps! Have a wonderful day! :D
Find the coordinates of
the missing endpoint if M
is the midpoint of AB.
A(4, -8) and M(5,-2)
Answer:
B = (6, 4)
Step-by-step explanation:
You know that the midpoint is calculated as ...
M = (A +B)/2
Solving this for B, we find ...
2M = A + B
B = 2M - A
Filling in the coordinate values, we get ...
B = 2(5, -2) -(4, -8) = (2·5-4, 2(-2)+8)
B = (6, 4)
15 divided by 4 and 1/6
Answer:
15÷4÷1/6.
first of all change ÷ to ×.
which will be 15×1/4×6/1.
which will be 15×1/2×3.
which is 15×3=45/2.
the answer is 22.5 or 22 whole number 1/2.
15 divided by 4 and 1/6 is equal to 18/5 or 3 and 3/5.
To divide 15 by 4 and 1/6, we can convert the mixed number 4 and 1/6 into an improper fraction.
4 and 1/6 can be written as (4 x 6 + 1) / 6 = 25/6.
Now, we can divide 15 by 25/6:
15 ÷ (25/6) = 15 x (6/25)
= (15 x 6) / 25
= 90/25.
Now, the fraction 90/25 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
= 90/25
= (90 ÷ 5) / (25 ÷ 5)
= 18/5.
Therefore, 15 divided by 4 and 1/6 is equal to 18/5 or 3 and 3/5.
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In a survey, 3 out of 5 people preferred rice to noodles. If 75 people were
surveyed, how many preferred rice?
Will award the brainlest
Answer:
45 people
Step-by-step explanation:
3/5 x 75 = 45, therefore, 45 people out of 75 preferred rice to noodles.
Answer:
45 prefer rice out of 75 surveyed.
Step-by-step explanation:
75 divided by 5 is 15. 15 x 3 = 45!
3/5 = 45/75
Explain why angle is considered a defined term in geometry.
Answer:
Step-by-step explanation:
In Euclidean geometry there are three undefined terms: Points, line and plane. An angle is a defined term, since it is formed by two lines that intersects each other and are coplanar.
4. Kennedy buys a computer that was reduced in a sale by 10%. If the sale price of the
computer is now N$11 480. 50, what was the original price of the computer?
Answer:
N$12 576. 11
Step-by-step explanation:
Loss%=10%
S.P= N$11 480.50
C.P =?
Loss%=100(C.P - S.P)/C.P
10=100(C.P-11 480.50)/C.P
10C.P=100C.P - 1 148 050
1 148 050=100C.P - 10C.P
1 148 050=90C.P
C.P=N$12 576.11
The episodes of a TV program are each 40 minutes long. Phill watches four episodes together. How long is he watching TV for ? Give your answer in hours and minutes.
Answer:
He is watching TV for 2 hours and 40 minutes.
Step-by-step explanation:
We are given that the episodes of a TV program are each 40 minutes long. Phill watches four episodes together.
As it is stated that the length of each episode of a TV program is 40 minutes, so the length of four episodes is given by;
1 episode = 40 minutes
4 episodes = 4 [tex]\times[/tex] 40
= 160 minutes
So, the length of four episodes together is 160 minutes.
Now, we have to convert the time in hours and minutes;
As we know that 1 hour = 60 minutes
160 minutes = 120 minutes + 40 minutes
= 2 hours + 40 minutes
Hence, the length of four episodes together is 2 hours and 40 minutes.
Side length of square = 4.5 in
Perimeter of square=
Answer:
18 in
Step-by-step explanation:
(4.5)(4)=18
Side Length * Sides = 18 in
Select all expressions that are equivalent to 6(b+2)-b. A) 5b+12 B) 7b+8 C) 6b+8-b D) 5b+8 E) 6b+12-b
Answer:
A, E
Step-by-step explanation:
Wanted expression: 6(b+2)-b
Let's factorise each expression and make it look like the wanted expression as much as possible.
A: 5b+12
In this case we do not have a "-b" at the back, to make it similar to the given expression we can insert a "-b" at the back while adding 1 b to the front (5b) of the expression.
6b+12-b
6(b+2)-b
B: 7b+8
8b+8-b
8(b+1)-b
C: 6b+8-b
2(3b+4)-b
D: 5b+8
6b+8-b
2(3b+4)-b
E: 6b+12-b
6(b+2)-b
The 2 expressions out of A-E that are the same as the wanted expression are A and E.
hope this helps :))
A company ships coffee mugs using boxes in the shape of cubes. The function g(x) = the cube root of x gives the side length, in inches, for a cube with a volume of x cubic inches. Suppose the company decides to double the volume of the box. Which graph represents the new function?
Step-by-step explanation:
Initially, let the side of the cubical box is [tex]a[/tex] inches,
So, the volume of the box, [tex]x = a \times a \times a= a ^3[/tex].
Given that [tex]g(x)=\sqrt[3]{x} =\sqrt[3]{a^3}[/tex]
[tex]\Rightarrow g(x)=a \; \cdots (i)[/tex]
On doubling the volume of the box, the new volume is [tex]2x[/tex].
So, [tex]g(x)=\sqrt[3]{2x} =\sqrt[3]{2a^3}[/tex]
[tex]\Rightarrow g(x)=\sqrt[3]{2} a \; \cdots (i)[/tex]
As [tex]\sqrt[3]{2} >1[/tex], so the graph of [tex]g(x)=\sqrt[3]{2} a[/tex] will be above of the [tex]g(x)=a[/tex] as shown in the graph.
Which equation describes a line that passes through (-6,8) and is perpendicular to the line described by y=2x-4
Step-by-step explanation:
Hey, there!!
The given is a point (-6,8) through which a line passes. And is perpendicular to the line y = 2x-4
The equation for point (-6,8) is,
(y-8)= m1(x+6)...........(i)
and given equation is y = 2x-4............(ii)
Now, from equation (ii).
slope (m2)= 2 { as equation (ii) is in the form of y= mx+c where m is a slope}.
Now, For perpendicular,
m1×m2= -1
m1×2= -1
[tex]m1 = \frac{ - 1}{2} [/tex]
Therefore, m1 = -1/2.
Putting, the value of m1 in equation (i).
(y-8) = -1/2×(x+6)
2(y-8)= -1(x+6)
2y - 16 = -x -6
x+2y-10 = 0......... is the required equation.
Hope it helps...
i. dont know what to do jesys chrusr