Answer:
its -i
Step-by-step explanation: just did the assignment
In the given case we can conclude that Using the laws of exponents, we can simplify i³ as 1
The laws of exponents, also known as the rules of exponents, are a set of fundamental mathematical principles that govern the manipulation and simplification of expressions involving exponents. These rules are essential for working with exponential functions and equations. Here are the basic laws of exponents.
Using the laws of exponents, we can simplify i³ as follows:
i³ = i * i * i
Since we know that i² = -1, we can substitute -1 for i² in the expression:
i³ = -1 * i * i
Next, we can use the associative property of multiplication to rearrange the expression:
i³ = -1 * (i * i)
Finally, we recognize that (i * i) is equal to i² = -1, so the expression simplifies to:
i³ = -1 * -1
Therefore, i³ = 1.
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An airplane can ascend at a rate of 52 1/2 meters in 2/3 of a second how many meters can the airplane ascend in one second.
A. 34 1/3
B. 39
C. 51 1/2
D. 77 1/4
Solve by elimination. 4x-y=6 3x+2y=21
Answer:
x=3, y=6
Step-by-step explanation:
4x-y =6
3x+2y = 21
To use elimination we will multiply the first equation by 2
2(4x-y) =6*2
8x -2y =12
We will add this equation to the second equation to eliminate y
8x -2y =12
3x+2y = 21
-----------------
11x = 33
Divide each side by 11
11x/11 = 33/11
x =3
We still need to solve for y
3x+2y = 21
Substituting x=3
3*3+2y = 21
9+2y =21
Subtract 9 from each side
9-9+2y = 21-9
2y = 12
2y/2 = 12/2
y =6
I need help with #7 ?!!!
Btw #6 is correct
Choice C for problem 6 is correct. The two angles (65 and 25) add to 90 degrees, proving they are complementary angles.
===========================================
The answer to problem 7 is also choice C and here's why
To find the midpoint, we add up the x coordinates and divide by 2. The two points A(-5,3) and B(3,3) have x coordinates of -5 and 3 respectively. They add to -5+3 = -2 which cuts in half to get -1. This means C has to be the answer as it's the only choice with x = -1 as an x coordinate.
Let's keep going to find the y coordinate of the midpoint. The points A(-5,3) and B(3,3) have y coordinates of y = 3 and y = 3, they add to 3+3 = 6 which cuts in half to get 3. The midpoint has the same y coordinate as the other two points
So that is why the midpoint is (-1,3)
Find the number if: 4% of it is 31% of 16.4
Answer:
The number (x) is 127.1
Step-by-step explanation:
4% of a number (x) is equal to;
31% of 16.4
i.e 0.04x = 5.084
x = [tex]\frac{5.084}{0.04}[/tex] = 127.1
The number (x) is 127.1
Answer:
x = 127.1
Step-by-step explanation:
Let x be the unknown number.
It is given that 4% of the number is 31% of 16.4
4% of x = 31% of 16.4
[tex]x\times \dfrac{4}{100}=16.4\times \dfrac{31}{100}[/tex]
[tex]\dfrac{4x}{100}=\dfrac{508.4}{100}[/tex]
Multiply both sides by 100.
[tex]\dfrac{4x}{100}\times 100=\dfrac{508.4}{100}\times 100[/tex]
[tex]4x=508.4[/tex]
Divide both sides by 4.
[tex]x=\dfrac{508.4}{4}[/tex]
[tex]x=127.1[/tex]
Therefore, the unknown number is 127.1.
Find the sum of the geometrical equation -3 , 18 , -108 , if there are 7 terms
Hello from MrBillDoesMath!
Answer:
Sum = -119,962 ( I hope!)
Discussion:
Let's determine the pattern.
first term: -3
2nd term: (-3) * (-6) = 18 (multiply first term by -6)
3rd term: (18) * (-6) = -108 (multiply 2nd term by -6)
4th term : (-108)*(-6) = 648 ( etc)
5th term : (648)*(-6) = -3888 (etc)
6th term : (-3888)*(-6) = 23328 (etc)
7th term: (23328)*(-6) = -139967 (etc)
Sum = -119,962
A simpler way to do this is to use the formula for the sum of a geometric series to n terms. The series is
-3 Sum ( -6)^n n = 0, 1, 2, 3, 4, 5, 6
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
In an arithmetic series t6 = −4, t10 = −12. Find S10.
Answer:
[tex]S_{10}[/tex] = - 30
Step-by-step explanation:
For a given arithmetic sequence the n th term formula is
[tex]t_{n}[/tex] = [tex]t_{1}[/tex] + (n - 1)d
where d is the common difference and [tex]t_{1}[/tex] the first term
We have to find d and [tex]t_{1}[/tex]
from the given information we can write 2 equations and solve for d and [tex]t_{1}[/tex]
[tex]t_{6}[/tex] = [tex]t_{1}[/tex] + 5d = - 4 → (1)
[tex]t_{10}[/tex] = [tex]t_{1}[/tex] + 9d = - 12 → (2)
subtract (1) from (2) term by term
4d = - 8 ⇒ d = - 2
substitute d = - 2 in (1)
[tex]t_{1}[/tex] - 10 = - 4 ⇒ [tex]t_{1}[/tex] = - 4 + 10 = 6
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][2[tex]t_{1}[/tex] + (n - 1)d ], hence
[tex]S_{10}[/tex] = 5[(2 × 6) + (9 × - 2) ] = 5(12 - 18) = 5 × - 6 = - 30
The product of two numbers is 48 and one of the numbers is 12 what is the other number
Answer:
4
Step-by-step explanation:
Hello I need someone to help me with basic science Pls help will do anything!
Answer:
What you need???
Step-by-step explanation:
Answer:
I will be willing to help
Step-by-step explanation:
1. tell me what ur questions are
2. i will answer them
3. U use the answers for ur personal use
4. U thank me
5. Hope I can help
PLEASE HELP ME ASAP!!!!
Answer:
y= 5x + 3
Step-by-step explanation:
This is because you solve for slope, which is 5, then plug that into point slope form to get:
y - 8 = 5(x - 1)
y - 8 = 5x - 5
y = 5x + 3.
Answer:
y = 5x + 3
Step-by-step explanation:
Step 1. Find the slope
Each time x increases by 1 unit, y increases by 5 units.
m = slope = 5/1 = 5
Step 2. Find the y-intercept.
y = mx + b
When x = 4, y = 23.
23 = 5×4 + b
23 = 20 +b
b = 3
y = 5x + 3
The graph is a straight line with slope m = 5 and a y-intercept at y = 3.
What is the equation in the point-slope form of the line that passes through the point (-1,-4) and has a slope of -3?
Answer:
y=mx+b; y=-3x+-4
Step-by-step explanation:
Substitute the slope, and the y-intercept in place of m and b
Answer: [tex] (y+4)=-3(x+1)[/tex]
Step-by-step explanation:
We know that the equation a line in point-slope form having slope m and passing through point (a,b) is given by :-
[tex](y-b)=m(x-a)[/tex]
Then , the equation a line in point-slope form having slope '-3' and passing through point (-1,-4) is given by :-
[tex](y-(-4))=-3(x-(-1))\\\\\Righarrow\ (y+4)=-3(x+1)[/tex]
consider the triangle below
Answer:
[tex]m\angle M=90[/tex]
[tex]m\angle A=63[/tex]
[tex]m\angle N=27[/tex]
[tex]\Delta MAN[/tex] is a right triangle.
Step-by-step explanation:
Since we know that sum of all angles of triangles equals to 180 degrees.
To find the measure of our given angles we will have to find the value of x. The value of x can be found by equating the measure of all angles of our given triangle with 180.
[tex]4x-5+9x-9+10x+10=180[/tex]
[tex]23x-14+10=180[/tex]
[tex]23x-4=180[/tex]
[tex]23x=180+4[/tex]
[tex]23x=184[/tex]
[tex]x=\frac{184}{23}[/tex]
[tex]x=8[/tex]
Now let us find measure of each angle by substituting value of x in given expressions.
[tex]m\angle M=10*x+10[/tex]
[tex]m\angle M=10*8+10[/tex]
[tex]m\angle M=80+10[/tex]
[tex]m\angle M=90[/tex]
Therefore, measure of angle M is 90 degrees.
[tex]m\angle A=9*x-9[/tex]
[tex]m\angle A=9*8-9[/tex]
[tex]m\angle A=72-9[/tex]
[tex]m\angle A=63[/tex]
Therefore, measure of angle A is 63 degrees.
[tex]m\angle N=4*x-5[/tex]
[tex]m\angle N=4*8-5[/tex]
[tex]m\angle N=32-5[/tex]
[tex]m\angle N=27[/tex]
Therefore, measure of angle N is 27 degrees.
From the measures of angles we can say that triangle MAN is a right triangle.
im sorry this is math not mathimatics but what is 3 dived by 563? use paper and pencil to find quotient and remainder
Answer:
0.0053285968
Step-by-step explanation:
i am not srry
Answer:
187 r 2
Step-by-step explanation:
563/3
3 into 5=1 r 2
bring down the 2
3 into 26= 8 r 2
bring down the 2
3 into 23=7 r 2
Sam drives his car at a constant speed. He travels a distance (d) of 15 miles with 12 of a gallon of gas (g). Write an equation in the form of d=rg that represents the relationship between distance (d) and the number of gallons of gas (g), where r is the constant of proportionality.
Answer:
[tex]d =30g[/tex]
Step-by-step explanation:
Sam drives his car at a constant speed. He travels a distance (d) of 15 miles with 1/2 of a gallon of gas (g)
Distance d= 15
Gallons of gas (g)= 1/2
Equation is d= rg
Now plug in the values
15 = r* 1/2
Now we divide by 1/2 on both sides
[tex]r=\frac{15}{\frac{1}{2}}=15 * \frac{2}{1}= 30[/tex]
r=30
Now we replace the value of 'r' in the equation d=rg
[tex]d = 30g[/tex]
What are the vertical and horizontal asymptotes for the function 3x^2/x^2-4
Answer: vertical asymptotes: x = 2, x = -2
horizontal asyptote: y = 3
Step-by-step explanation:
[tex]\dfrac{3x^2}{x^2-4}[/tex]
Vertical Asymptotes are the restrictions on "x", which is denoted by the denominator being unequal to zero.
x² - 4 = 0
(x + 2)(x - 2) = 0
x + 2 = 0 and x - 2 = 0
x = -2 and x = -2
Horizontal Asymptotes are determined by the degree of the numerator (n) compared to the degree of the denominator (m) as follows:
If n > m , then no horizontal asymptote (use long division to find slant asymptote)If n = m , then horizontal asymptote is coefficient of n divided by coefficient of mIf n < m , then horizontal asymptote is: y = 0In the given problem, the degree of both the numerator and denominator is 2 so horizontal asymptote is: [tex]y = \dfrac{3}{1} = 3[/tex]
Which algebraic rule describes the transformation?
A) (x, y) → (x + 1, y − 3)
B) (x, y) → (x + 3, y − 1)
C) (x, y) → (x − 1, y + 3)
D) (x, y) → (x − 3, y + 1)
Answer:
It's B.
Step-by-step explanation:
(x, y) ---> (x + 3, y - 1)
Using point X as an example:
(x, y) ---> (x + 3, y - 1)
(0, 0) ---> (0 + 3, 0 -1)
(0, 0) ---> (3, -1)
The algebraic rule that describes the transformations is;
B) (x, y) → (x + 3, y − 1)
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, A graph where we can see a Graph of a triangle XYZ that transforms to become x'y'z'.
Since the given graph is transformed not scaled.
Thus, the dimension will be the same and we can justify the means by just Calculating for one point.
For Point x:
Original coordinates os x = (0, 0)
coordinates of the x after transformation = (3, -1)
Thus,
horizontal displacement in X = +3
vertical displacement in X = -1
therefore, (x, y) → (x + 3, y − 1) is the algebraic rule that describes the transformation.
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how to find plato algebra 1 answers
To find Plato's Algebra 1 answers, it's important to understand the principles of algebra, apply them to solve problems, and practice regularly. Seek help from tutors, textbooks, and online resources, and strive to understand the process, not just find the answers.
Explanation:Finding answers to Plato's Algebra involves understanding the concepts and principles of Algebra, applying these to solve problems, and continuously practising. Consider seeking help from your teacher, using textbooks, online resources, and practicing more problems. Whatever resources you use, it's crucial to check your answers with a credible source. Remember, the goal is not only to find the answers but to understand how to solve different algebraic problems.
In Algebra 1, you will come across different topics such as equations, inequalities, functions, and graphing. Each topic requires understanding the fundamental concepts and practising the exercises.
For example, if you're solving a linear equation, it's important to know that what you do on one side of the = sign has to be done on the other side to maintain balance. With lots of practice, Algebra 1 will become easier to grasp.
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A baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop. How many scoops will she need for the recipe?
Answer:
Step-by-step explanation:
8
She will need 8 scoops for the recipe if the baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A baker has 2 2/3 cups of flour for her recipe
2 2/3 = 8/3
She only has a 1/3 cup scoop.
Scoops she will need for the recipe = (8/3)/(1/3) = 8
Thus, she will need 8 scoops for the recipe if the baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop.
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How much cash did the person who filled out this deposit slip receive? a. $849.25 b. $715.56 c. $7,621.53 d. $721.50
Answer: its D $721.50
Drea and Sajini both worked at a local ice cream shop over the summer. Together, they earned a total of $425. Drea earned $25 more than Sajini. Write a system of two equations with two variables to model this problem. Use an algebraic method (substitution or linear combination) to solve the system. Graph both equations. Be sure to include the solution on your graph. How much did each person earn?
ps i can graph it myself i guess i just need the rest
Answer:
The money earned by Drea was [tex]\$225[/tex]
The money earned by Sajini was [tex]\$200[/tex]
Step-by-step explanation:
Let
x------> money earned by Drea
y------> money earned by Sajini
we know that
[tex]x+y=425[/tex] -----> equation A
[tex]x=y+25[/tex] ----> equation B
substitute equation B in equation A
[tex](y+25)+y=425[/tex]
solve for y
[tex]2y=425-25[/tex]
[tex]y=400/2=\$200[/tex]
Find the value of x
[tex]x=y+25[/tex] ----> [tex]x=200+25=\$225[/tex]
using a graphing tool
solve the system of equations
Remember that the solution of the system of equations is the intersection point both graphs
The intersection point is [tex](225,200)[/tex]
see the attached figure
Answer:
Drea: $225
Sajini: $200
Step-by-step explanation:
D + S = 425
D = S + 25
S + 25 + S = 425
2S = 400
S = 200
D = 200 + 25 = 225
Write Y=x^2+18x+90 In vertex form
Answer:
y = (x + 9)² + 9
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
given a parabola in standard form : ax² + bx + c : a ≠ 0
the the x-coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² + 18x + 90 is in standard form
with a = 1, b= 18 and c = 90
[tex]x_{vertex}[/tex] = - [tex]\frac{18}{2}[/tex] = - 9
to find the corresponding y-coordinate substitute x = - 9 into the equation
y = (- 9)² + 18(- 9) + 90 = 81 - 162 + 90 = 9
⇒ y = (x + 9)² + 9 ← in vertex form
A store is offering a 20% discount on all sales over $50.if you purchase a shirt and a pair of jeans for $62.50,what is the amount of the discount you would receive
Answer:
50 dollars
Step-by-step explanation:
If you have a 20% discount,that means you pay for 80% of your items. So to find percent you make 80 percent 0.8 and then multiply by 62.50.
Answer:
$10
Step-by-step explanation:
You would multiply $62.50 by 20% or .2 to find the discount which is $10. If you need to find the sale price you would subtract $62.50 - $10 = $52.50.
Your discount amount is $10
Your Sale Price is $52.50
On Monday,it took Helen 3 hours to do a page of science homework exercises.The next day she did the same number of exercises in 2 hours. If her average rate on Monday was p exercises per hour what was her average rate the next day .In terms of p?
Answer:
It's 3/2p!
Step-by-step explanation:
Because Helen do the same number of exercises on 2 days, the time to do and the average rate are inversely proportional!
So, if on Monday, Helen's average rate is p then on the next day, her average rate is:
p × 3 ÷ 2 = [tex]\frac{3p}{2}[/tex]
=3/2p
Brainliest?
In which equation is the constant of proportionality 5?
a. x = 5y
b. y = 5x
c. 6 = x + 5
d. 6 = 5 - x
What do you need to know?
Answer:
Math
Step-by-step explanation:
Answer:
D. 51%
Step-by-step explanation:
How do you solve:
3(a+2)=2(a-7) and 9(t-1)=6(t+2)-t
Answer:
t=3
Step-by-step explanation:
Simplifying
5 + -1(t + 3) = -1 + 2(t + -3) Reorder the terms:
5 + -1(3 + t) = -1 + 2(t + -3)
5 + (3 * -1 + t * -1) = -1 + 2(t + -3)
5 + (-3 + -1t) = -1 + 2(t + -3)
Combine like terms: 5 + -3 = 2
2 + -1t = -1 + 2(t + -3)
Reorder the terms:
2 + -1t = -1 + 2(-3 + t)
2 + -1t = -1 + (-3 * 2 + t * 2)
2 + -1t = -1 + (-6 + 2t)
Combine like terms: -1 + -6 = -7
2 + -1t = -7 + 2t
Solving
2 + -1t = -7 + 2t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-2t' to each side of the equation.
2 + -1t + -2t = -7 + 2t + -2t
Combine like terms: -1t + -2t = -3t
2 + -3t = -7 + 2t + -2t
Combine like terms: 2t + -2t = 0
2 + -3t = -7 + 0
2 + -3t = -7
Add '-2' to each side of the equation.
2 + -2 + -3t = -7 + -2
Combine like terms: 2 + -2 = 0
0 + -3t = -7 + -2
-3t = -7 + -2
Combine like terms: -7 + -2 = -9
-3t = -9
Divide each side by '-3'.
t = 3
Simplifying
t = 3
What graph represents the system of linear inequalities? 4x+y>1 y≤32x+2
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]4x+y>1[/tex] -----> inequality A
The solution of the inequality A is the shaded area above the dashed line
The equation of the dashed line is [tex]4x+y=1[/tex]
The slope of the dashed line is negative
The y-intercept of the dashed line is the point [tex](0,1)[/tex]
The x-intercept of the dashed line is the point [tex](0.25,0)[/tex]
[tex]y\leq \frac{3}{2}x+2[/tex] -----> inequality B
The solution of the inequality B is the shaded area below the solid line
The equation of the solid line is [tex]y=\frac{3}{2}x+2[/tex]
The slope of the solid line is positive
The y-intercept of the solid line is the point [tex](0,2)[/tex]
The x-intercept of the solid line is the point [tex](-1.33,0)[/tex]
using a graphing tool
The graph in the attached figure
I need help!!!!
Can someone help me
Please help how to answer this
Answer:
1563.2
Step-by-step explanation:
The value of 3 in 156.32 is 0.3
The value of 3 in 1563.2 is 3
So 0.3 × 10 = 3
omg it was wrong help!!!!!
Answer:
b is 63, not -63
Step-by-step explanation:
Answer:
-2 degrees per hour
-63 m
Step-by-step explanation:
Cooled means the temperature is decreasing
-14 degrees/7 hours
-2 degrees per hour
The total change in elevation will be a negative number
(-3*21) =
-63 m
Please help. Due today.
Answer: Try checking B
Step-by-step explanation:
Answer: lower right hand corner
In this corner is an expression that has "pi" in it that doesn't cancel out like it does in the upper left hand corner. The number pi is irrational because it cannot be written as a fraction of two whole numbers. We can sorta get close when we say 22/7 = 3.14129 but the more accurate version of pi is pi = 3.14159; however we cannot get an exact match.