Calculations ↓Instead of a write 1 :1bcInstead of b write 3 :1*3cInstead of c write 7 :1*3*7Multiply :1*2121Evaluated expression ↓21
can u help... 8th grade math
Which expression is equivalent to i 233?
1
–1
i
–i
Step-by-step explanation:
i¹ = i
i² = i×i = -1
i³ = -1 × i = -i
i⁴ = -i×i = - -1 = 1
i⁵ = 1×i = i
...
so, when the exponent of i modulo 4 (the remainder when dividing by 4) = 0, then the result is 1.
= 1, then the result is i
= 2, then the result is -1
= 3, then the result is -i
233 modulo 4 = 1 (233/4 = 58, remainder 1).
so, the result is i (the third answer option).
Resuelva los siguientes sistemas de ecuaciones 3x+2y₌75x–2y₌1
1)
[tex]x = 25 - \frac{2}{3} y[/tex]
[tex]y = 37.5 - 1 \frac{1}{2} x[/tex]
2)
[tex]x = 1 + 2y[/tex]
[tex] y = \frac{1}{2} - \frac{1}{2} x[/tex]
Mike, Roy, and Leen are eating sweets. • Mike eats 2 less than Roy. • Leen eats three times more than Mike and Roy combined. • Altogether they ate 24 sweets. How many sweets did Roy eat?
Answer:
Roy eat 4 sweets
Step-by-step explanation:
Roy =R
Mike= (R-2)
Leen= 3(R+ R-2)
R + (R-2) + 6R-6 = 24
8R-8=24
8R=32
R=4
Mike 4-2 = 2
Leen 3(4+2) = 18
4+2+18=24
What do we do to both sides of this equation to solve?
x+3=5
Question 1 options:
Subtract 3 from both sides
Add 3 to both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Subtract 3 from both sides.
Step-by-step explanation:
x + 3 = 5
x = 5 - 3
x = 2
I know I`m late sorry, still wanted to answer
. _ .
Q6. The first three terms of an arithmetic series are 60, 4p and 2p-6 respectively (a) Show that p= 9 (b) Find the value of the 20th term of this series. (c) Prove that the sum of the first n terms of this series is given by the expression 12n (6 - n)
Answer:
p=9
t20=516
Step-by-step explanation:
a
4p-60=2p-6-2p
6p=54
p=9
b
a=60.. d=24
t20=a+19d
=60+19×24
=516
c
Sn=12.5+12.3+12.1
=12n(6-n)
I need help now!!!!
help me need the correct answer!!!!!!!!!!!!
Step-by-step explanation:
so, the garden seems to be rectangular.
it has a length.
and width = length - 2
I assume the fence should go all around the rectangular garden.
that means it has to cover 2 lengths and 2 widths.
fence = 2×length + 2×(length - 2) =
= 2×length + 2×length - 4 = 4×length - 4 =
= 4×(length - 1)
length = 7.5 m
so, he will need
4×(7.5 - 1) = 4×6.5 = 26 meter of fencing.
James is competing in the shot put event for his tracJames is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below,
h(x)= -0.05x^2+ x + 6
where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot.
In this situation, the height of the shot starts to increase when
x = feet. (11 , 0, 10, or 6)
It continues to increase until
x = feet, (6, 20, 11, or 10)
and then the height decreases until
x = feet. (10, 20, 24, or 11)
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h(x) represent the height of the shot put, when the horizontal distance is x feet.
h(x)= -0.05x² + x + 6
From the graph of h(x):
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
Find out more on equation at: https://brainly.com/question/2972832
Find f(2) if f(x) = (-2x)^2 / (7x-4)
Answer:
4/3
Step-by-step explanation:
f(2) = (-2*2)^2 / (7(2))-4)
f(2) = (-4)^2 / 14-4
f(2) = 16 / 12
f(2) = 4 / 3
Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already :D
Here is how it is graphed:
x = 2y – 1
2x + y = 13
Solve this system of equations.
Answer:
(5,3)
Step-by-step explanation:
Use desmos. I'll attach the graph below.
Solution is:
(5,3)
Find five numbers so that the mean, median, mode and range are all 4
Answer:
4, 4, 4, 4, and 4
Step-by-step explanation:
mode = 4
median = 4
so we know two of the five numbers are 4;
[tex](x+x+x+4+4)/5 =4[/tex]
[tex](3x+8x)/5 = 4[/tex]
multiply both sides by 5
[tex]3x+8=20\\3x=20-8\\3x=12\\x=4\\[/tex]
therefore; the numbers are all 4
In a game, the suit and number of a card must be guessed while it is facedown. If the odds of guessing the suit correctly are 13/52 and the odds of guessing the number are 4/52, then what are the odds of guessing both the number and suit correctly?
Answer:
1/52.
Step-by-step explanation:
The suit AND the number must be correct.
When you see AND in a probability question think 'multiply'.
That would be 13/52 * 4/52
= 52/(52)^2
= 1/52.
Why does 2pi radians equal 360 degrees?
Answer:
So there are 2 pi radians in one revolution and since there are also 360 degrees in one revolution, this gives us a way to convert from radians to degrees. 2 pi radians equals 360 degrees or you can divide both sides by 2 and use pi radians equals 180 degrees.
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
Work Shown:
[tex]a^2 + b^2 = c^2\\\\a^2 + 5^2 = 8^2\\\\a^2 + 25 = 64\\\\a^2 = 64-25\\\\a^2 = 39\\\\a = \sqrt{39}\\\\a \approx 6.244998\\\\a \approx 6.2[/tex]
Please help me with this question
And I will give you stars. (-:
Please include full explanation and working. Thank you! :-)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Total Mini - Easter eggs = 1345
Number of students = 26
So, let's find how many eggs will each student get through division ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{1345}{26} = 51 +remainder= 19[/tex]
So, each student will get 51 mini - Easter egg each.
And there would be 19 remaining eggs in there ~
Select the expression that simplifies to a value of 6.
2×5−23+3
53÷5×2−2
6+22×6÷3
33÷3×2÷3
Circle e has a radius of 40 inches with m arc ABC=324 degrees. Find the exact length of arc ABC.
Which of the following is equivalent to (6x^4)(3x^2)?
1.(6*3)x^(4*2)
2.(6+3)x^(4*2)
3.(6*3)x^(4+2)
4.(6+3)x^(4+2)
Answer:
3.
Step-by-step explanation:
remember, when we multiply the same basic term, we add the exponents.
so,
x⁴×x² = x⁶
now, when there are other factors, we need to multiply them in too.
so,
(6x⁴)(3x²) = 6×3×x⁴×x² = 18x⁶ or simply (6×3)x^(4+2)
Find the probability of rolling a 6 -sided dice and getting a number that is a divisor of 20.
Explanation:
On the die, the divisors or factors of 20 are: 1, 2, 4, 5
We have 4 faces we want out of 6 faces total
So 4/6 = 2/3 is the probability of getting a divisor of 20.
(x-5)^2+2=11 solve by using square roots.
Work Shown:
[tex](x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\[/tex]
One of the roots of the quadratic equation 2x^2+10x+c=0 is equal to 2. Find the value of coefficient c.
Answer: c = -28
Step-by-step explanation:
substitue x for 2
2(2^2) + 10(2) + c = 0
8 + 20 + c = 0
28 + c = 0
c = -28
The value of coefficient c of the quadratic equation 2x^2+10x+c=0 is -28.
One of the roots of the quadratic equation 2x^2+10x+c=0 is equal to 2.
What is the root?The roots of a quadratic equation are the values of the variable that satisfy the equation.
They are also known as the solutions or zeros
The equation is 2x^2+10x+c=0.
a=2, b=10 and c=?
To substitute x for 2
2(2^2) + 10(2) + c = 0
8 + 20 + c = 0
28 + c = 0
c = -28
To learn more about the quadratic equation visit:
https://brainly.com/question/1214333
A full-length mirror cost $144.99 when the cpi was 163. what will a full-length mirror cost when the cpi is 211, to the nearest cent? a. $305.93 b. $214.59 c. $187.68 d. $88.95
The cost of a full-length mirror when the cpi is 211 is $187.68. Then the correct option is C.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
A full-length mirror cost $144.99 when the cpi was 163.
The cost of a full-length mirror when the cpi is 211, to the nearest cent will be
[tex]\dfrac{x }{211} = \dfrac{144.99}{163}\\\\x \ \ \ = \$187.68[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
Find two numbers who have a sum of 21 and a product of 104.
Please include the following in your response:
1) The system of equations used to solve the problem (These are the two equations)
2) The two numbers (The answer)
3) A brief explanation of how you found the numbers
The two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104
System of equationsLet the two unknown numbers be x and y
If the sum of the numbers is 21, hence;
x + y = 21
x = 21 - y
If the product is 104, then;
xy = 104
(21-y)y = 104
21y - y^2 = 104
y^2-21y + 104 = 0
Factorize the result
y^2-8y - 13y+ 104 = 0
y(y-8) - 13()y-8) = 0
y = 13 and 8
Hence the two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104
Learn more on system of equation here: https://brainly.com/question/847634
What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?
A number line goes from negative 5 to 10. Point D is at negative 4 and point F is at 9. A line is drawn from point D to point F.
1
2
3
4
Answer:
A) 1
Step-by-step explanation:
We want to find G such that ...
(G-F)/(D-G) = 8/5
5(G-F) = 8(D-G)
5G -5F = 8D-8G . . . . eliminate parentheses
13G = 8D +5F . . . . . . add 5F +8G to both sides
G = (8D +5F)/13 . . . . divide by the coefficient of G
G = (8(-4) +5(9))/13 = (-32 +45)/13 = 13/13
G = 1 . . . . . . matches choice A
Answer:
A
Step-by-step explanation:
EDGE 22
4x+y=17
7y=4x-9
Please show work!
I'm very desperate right now for this answer!
Answer:
x=4
y=1
Step-by-step explanation:
4x=7y+9
4x+y=17
7y+9+y=17
8y=17-9
8y=8
y=1
so
4x=7*1+9
4x=16
x=16/4
x=4
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.5. The cooler has 16956cmCubed of water in it. How many cups can be filled from the cooler?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.
Answer: the answer is 150 :)
Step-by-step explanation: Volume of a cone is
V = 1/3 pi * r^2 *h
The volume of one cone is
pi = 3.14
r = d/2 = 6/2 =3
h=9
Substitute what we know
V = 1/3 * (3.14) * (3^2) * (9)
= 27* 3.14
= 84.78 cm^3
The water cooler has 12717 cm^3 water
Divide the water by the volume of the paper cup cone and we will know how many paper cup cones we can fill, assuming we fill them completely.
12717/ 84.78 = 150
We can fill 150 paper cup cones. have a great day!
If the diameter of a circle has 4 units, what is its circumference?
Answer:
The circumference of a circle with diameter 4 is 12.57.
Determine whether these two triangles are similar, and if so what is the ratio of their sides?
Yes, ratio = 3/4
No, these triangles are not similar
Yes, ratio=3/8
Yes, ratio=4/5
Answer:
not similar
Step-by-step explanation:
4/3 = 1.3333...
10/8 = 1.25
The ratios are not equal, so the triangles are not similar.
and right triangle sin (40 - x)° equals cos(3x)° degrees what is the value of x.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sin(40 - x) = \cos(3x) [/tex]
[tex]\qquad \sf \dashrightarrow \: \cos\{90 - (40 - x ) \} = \cos(3x) [/tex]
[tex]\qquad \sf \dashrightarrow \:90 - (40 - x) = 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:90 - 40 + x = 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:3x - x = 50[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 50[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 25 \degree[/tex]
