Answer:
1042-96i
Step-by-step explanation:
(3 + 16i)(6 - 64i)
6(3 + 16i)(3 - 32i)
(6) 9 - 96i + 48i +1024
If one angle equals 34º, then the measure of its complement angle is 56º.
true or false
Answer:
true
Step-by-step explanation:
complementary angles equal 90° and 34+56 is 90°
Answer:
True
Step-by-step explanation:
Complement angle means that the two angles add up to 90 degrees. We can check this by adding the two given angles together:
34+56=90
90=90
This means that this is true.
I hope this helps and have a great day!
Which of the following is equal to 5^1/3?
A. ^3√5 B. 5^3 C. √5•3 D. √5
Answer:
A. ^3√5 is the answer.
Step-by-step explanation:
5^( 1 / 3 ) = ^3√5
Please help!!!!!!!! I’ve been stuck on this
Edna earns $680 per week and receives a raise of $95. What is her percentage increase in pay?
Answer:
13.97%
Step-by-step explanation:
Find her percent increase in pay by dividing 95 by 680:
95/680
= 0.1397
Multiply this by 100:
= 13.97
So, her percent increase in pay is approximately 13.97%
For the geometric series 2 + 6 + 18 + 54 + ... , find t n
Answer:
i believe its 162
Step-by-step explanation:
hope it helped :>
find the value of x and HI. H and J are the endpoints
Answer:
x = 6
HI = 29
Step-by-step explanation:
✔️HI = ½(AB) => Triangle Mid-segment Theorem
HI = 5x - 1
AB = 58
Plug in the values and solve for x
5x - 1 = ½(58)
5x - 1 = 29
Add 1 to both sides
5x - 1 + 1 = 29 + 1
5x = 30
Divide both sides by 5
5x/5 = 30/5
x = 6
✔️HI = 5x - 1
Plug in the value of x
HI = 5(6) - 1
HI = 30 - 1
HI = 29
Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 749. Find a linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course. Round your answer to the tenths place.
Given:
30-hour review course average a score of 620 on that exam.
70-hour review course average a score of 749.
To find:
The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.
Solution:
Let x be the number of hours of review course and y be the average score on that exam.
30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).
70-hour review course average a score of 749. So, the linear function passes through the point (70,749).
The linear function passes through the points (30,620) and (70,749). So, the linear equation is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-620=\dfrac{749-620}{70-30}(x-30)[/tex]
[tex]y-620=\dfrac{129}{40}(x-30)[/tex]
[tex]y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)[/tex]
[tex]y-620=\dfrac{129}{40}(x)-\dfrac{387}{4}[/tex]
Adding 620 on both sides, we get
[tex]y=\dfrac{129}{40}x-\dfrac{387}{4}+620[/tex]
[tex]y=\dfrac{129}{40}x+\dfrac{2480-387}{4}[/tex]
[tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex]
We need to find the y-value for [tex]x=57[/tex].
[tex]y=\dfrac{129}{40}(57)+\dfrac{2093}{4}[/tex]
[tex]y=183.825+523.25[/tex]
[tex]y=707.075[/tex]
[tex]y\approx 707.1[/tex]
Therefore, the required linear equation for the given situation is [tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex] and the average score for persons taking a 57-hour review course is 707.1.
Easy
a) -2,-5.-8.-11,...
Step-by-step explanation:
???????? what is easy??
please help me please
Answer:
that thing is not seeing properly and you can capture it again and resend it
use the figure at the right the complete inequality statements
PLEASE I NEED THIS NOW 50 POINTS
Write your answer as a function
Andy is wrapping gifts for his family. He ties 25 inches of ribbon around each gift. Which function gives the relationship between the number of
gifts (g) and the length of ribbon used (9)?
The function representing the relationship between the length of ribbon and the number of gifts is ?
The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns $90 for instructing 15 students on Monday afternoon. Last Friday, she earned $62 for working with 8 students. Lisa is also a skating instructor. She receives half the base amount that Mary does, but she is paid twice as much per student. Who would earn more money instructing a class of 20 students?
answer choice
1. 120
2. 65
3. 15
4. 10
Answer:
ok so lets divide 90 by 15 to get 6 so she gets paid 6 per student and that means lisa gets paid 12 so lets just multiply
6*20=120 so mary gets paid 120
and lisa gets paid doable that so 420
but i don't know there base pay so the i can't answer this problem
Hope This Helps!!!
Question
The quotient of a number and 5 has a result of 2. What is the number
Answer:
Probably 10
Step-by-step explanation:
10/5=2
On a piece of paper graph f(x) 2x(3)^x then determine which graph represents the function
Answer:
ok
What do you want me to answer ?
Please answer fast!!!!!
Explain the steps you would use to solve the equation. Find the solution.
8^2x=4096
Answer:
x = 2
Step-by-step explanation:
note that 4096 = [tex]8^{4}[/tex] , then
[tex]8^{2x}[/tex] = [tex]8^{4}[/tex]
Since bases on both sides are equal, both 8 , then equate the exponents
2x = 4 ( divide both sides by 2 )
x = 2
Answer:
x = 2
Step-by-step explanation:
[tex]8^{2x} = 4096[/tex]
Step 1 :- Write 4096 in the exponential form with the base of 8.
[tex]8^{2x} = 8^4 [/tex]
Step 2 :- Since the base of both equation is same , set the exponents equal.
2x = 4
Step 3 :- Divide both side by 2
[tex]{2x}{2} = \frac{4 }{2}[/tex]
x = 2
What does 8 represent in the decimal 478.92?
Answer:
ones
Step-by-step explanation:
Can someone help me solving this problem? I'm confuse so I want help..
question :
a) The length and breadth of a rectangular room are 10m and 8m respectively. How many pieces of carpet 5m long and 2m wide are required to cover it's floor?
Please help me solving this problem !
Answer: 8
Step-by-step explanation:
find the gradients of line a and b
Answer:
Gradient of A: 2
Gradient of B: -1
Step-by-step explanation:
Gradient = change in y/change in x
✔️Gradient of A using two points on line A, (2, 5) and (0, 1):
Gradient = (1 - 5)/(0 - 2) = -4/-2
Simplify
Gradient of A = 2
✔️Gradient of B using two points on line B, (0, 5) and (5, 0):
Gradient = (0 - 5)/(5 - 0) = -5/5
Simplify
Gradient of B = -1
Just Question B!
One of the numbers in the diagram is chosen at random, find the probability that the number is in set B, giving your answer as a decimal.
Gibing brainlist!
Answer:
0.4 or 0.40
Step-by-step explanation:
There are 10 total numbers. 4 of them are in set B.
So, 4/10 are in set B.
The probability is 0.4 because 4 divided by 10 is 0.4.
Using the net below, find the surface area
of the pyramid.
sto
5 in
5 in.
Surface Area
=
[?] in?
Enter
Answer:
Using the net below, find the surface area
of the pyramid.
sto
5 in
5 in.
Surface Area
=
[?] in?Step-by-step explanation:
if the slope of one of these perpendicular lines is -4/5 the slope of the other line is ____
f(x)=3x^2 and g(x)=x+2 find (f.g)(x)
Answer:
3[tex]x^{3}[/tex] + 6[tex]x^{2}[/tex]
Step-by-step explanation:
(f · g )(x) = 3[tex]x^{2}[/tex] · (x + 2) = 3[tex]x^{3}[/tex] + 6[tex]x^{2}[/tex] (Multiply the two terms by distributing)
please help me to solve this
Answer: x= 112°, y = 34°
Step-by-step explanation:
"Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle."
That means the angle adjacent to 56° = 90° - 56° = 34°"The angle formed at the centre of the circle by lines originating from two points on the circle's circumference is double the angle formed on the circumference of the circle by lines originating from the same points."
The angle adjacent to the left of ∠X = 2(34°) = 68°x = 180° - 68° = 112°
The angle adjacent to the right of ∠X = the angle adjacent to the right of ∠X = 68°y = 68 ÷ 2 = 34°
Circle theorems source: https://revisionmaths.com/gcse-maths-revision/shape-and-space/circle-theorems#:~:text=Angles%20formed%20by%20drawing%20lines%20from%20the%20ends,the%20point%20on%20the%20circumference%20our%20triangle%20touches.
HELP QUICKLY PLEASE!!
Answer:
D
Step-by-step explanation:
Because the first equation is equivalent to 1, and d is equivalent to 1, the rest are incorrect
What is 4 and 2/3 written as a radical?
Answer:
14/3
Step-by-step explanation:
4 and 2/3 = 4 2/3 = 4 + 2/3 = 4/1 + 2/3 = 12/3 + 2/3 = 14/3
Two sides of a triangle have the following measures, Vind the range of possible measures for
the third side,
13) 8,7
14) 12,6
A) 1
B) 2 < x < 14
C) 1
D) 1
A) 8
B) 9
C) 8 < X < 18
D) 6 < X < 18
Answer:
[tex](13)\ 1 <x < 15[/tex]
[tex](14)\ 6 <x < 18[/tex]
Step-by-step explanation:
Question 13:
[tex]a,b = 8,7[/tex] -- the two sides
Using triangle inequality theorem, we have:
[tex]a + b > x[/tex]
[tex]a + x > b[/tex]
[tex]x + b > a[/tex]
So, we have:
[tex]a + b > x[/tex]
[tex]8 + 7 > x[/tex]
This gives:
[tex]15 > x[/tex]
[tex]a + x > b[/tex]
[tex]8 + x > 7[/tex]
Collect and evaluate like terms
[tex]x > -1[/tex]
[tex]x + b > a[/tex]
[tex]x + 7 > 8[/tex]
Collect and evaluate like terms
[tex]x > 1[/tex]
Ignore the inequality with a negative value.
So, we have:
[tex]x > 1[/tex] and [tex]15 > x[/tex]
Rewrite as:
[tex]1< x[/tex] and [tex]x < 15[/tex]
Merge
[tex]1 <x < 15[/tex]
Question 14:
[tex]a,b = 12,6[/tex] -- the two sides
Using triangle inequality theorem, we have:
[tex]a + b > x[/tex]
[tex]a + x > b[/tex]
[tex]x + b > a[/tex]
So, we have:
[tex]a + b > x[/tex]
[tex]12 + 6 > x[/tex]
This gives:
[tex]18 > x[/tex]
[tex]a + x > b[/tex]
[tex]12 + x > 6[/tex]
Collect and evaluate like terms
[tex]x > -6[/tex]
[tex]x + b > a[/tex]
[tex]x + 6 > 12[/tex]
Collect and evaluate like terms
[tex]x > 6[/tex]
Ignore the inequality with a negative value.
So, we have:
[tex]x > 6[/tex] and [tex]18 > x[/tex]
Rewrite as:
[tex]6< x[/tex] and [tex]x < 18[/tex]
Merge
[tex]6 <x < 18[/tex]
find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2
Hi!
[tex]3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}[/tex]
what is the measure of < B ? help !!
The choose (C) 60
The measure of the angles of a triangle is 180, and this triangle is equilateral, so 180/3=60, each angle is 60°
10 − 3(2a − 1) = 3a + 1
Answer:
4/3 =a
Step-by-step explanation:
10 − 3(2a − 1) = 3a + 1
Distribute
10 -6a +3 = 3a+1
Combine like terms
13 -6a = 3a+1
Add 6a to each side
13-6a+6a = 3a+6a +1
13 = 9a+1
Subtract 1 from each side
13-1 = 9a+1-1
12 = 9a
Divide by 9
12/9 = 9a/9
4/3 =a
a = 4/3
Step-by-step explanation:10 - 3( 2a - 1 ) = 3a + 1
use the distributive property to multiply -3 by 2a -110 - 3 × 2a -3 × -1 = 3a + 1
10 - 6a + 3 = 3a + 1
collect like terms10 + 3 - 6a = 3a + 1
13 - 6a = 3a + 1
Subtract 3a from both sides13 - 6a - 3a = 3a - 3a + 1
13 - 9a = 1
subtract 13 from both side13 - 13 - 9a = 1 - 13
- 9a = - 12
divide both side by -9-9a / - 9 = - 12 / - 9
a = 4/3
What are equivalent expressions please explain
Answer:
Equivalent expressions are expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify.
Step-by-step explanation: