Answer:
-i
Step-by-step explanation:
We are to find the value of i^31
Note that i^2 = -1
Expanding i^31
i^31 =
= (i^2)15 * i
= (-1)^15 * i
= -1 * i
= -i
Hence the equivalent is -i
Finding missing angle. PLEASE HELP ME!
Answer:
x=147°
Step-by-step explanation:
1. Analyze: The angle opposite to the 33 degree angle is 33 degrees because they are vertical angles.
2. Make an equation: The sum of all four angles (x, the angle opposite of x, the 33 degree angle, and the angle opposite of the 33 degree angle) is 360°. Therefore the equation would be (33°x2)+2x= 360°.
3. Solve for x:
a. Multiply 33 by 2
66+2x=360
b. Subtract 66 from both sides
66+2x=360
-66 -66
2x=294
c. Divide both sides by 2
[tex]\frac{2x}{2} =\frac{294}{2}[/tex]
x=147
4. Remember to add your label- the degree sign (°)
x=147°
Consider a triangle ABC like the one below. Suppose that B = 39°, C=114, and a = 59. (The figure is not drawn to scale.) Solve the triangle.
Answer:
A = 27, b = 81.7856, c = 118. 723
Step-by-step explanation:
I used the Law of Sine, so if sin isnt what you need for this problem, my answer isn't what you need.
Classmates Joan, Peta, and Linda each received $400 as graduation gift. Joan deposits her money in an account that earns 7% interest compounded annually and keeps the money in the account for three years. Peta deposits her money, plus an extra $70, in an account that earns 8% interest compounded annually and keeps the money in the account for two years. Linda deposits her money in an account that earns 5% compounded'annually and keeps the money in the account for one year.
Who has more money when they close their accounts and why?
A) Joan, because she kept her money in the longest.
B) Linda, because of her interest rate.
C) Peta, because she invests the most.
D) They all make the same amount.
9514 1404 393
Answer:
C) Peta, because she invests the most
Step-by-step explanation:
The additional $70 that Peta invests is equivalent to more than 2 years' interest at either of the other rates. Not only does Peta invest more money, she does so at a higher interest rate.
Peta will have the most money in her account when she closes it.
__
The balances will be ...
Joan $490.02
Peta $548.21
Linda $420.00
The diameter of a round skating
rink is 15 m. Find the circumference
of the rink to the nearest meter.
Answer: 47 meters
Step-by-step explanation:
The equation for the diameter of a circle is [tex]C=d\pi[/tex], so we just multiply the diameter (15) by [tex]\pi[/tex]. [tex]15\pi[/tex], or roughly 47.1238898038. Rounded to the nearest meter, 47 meters. Also, happy pi day!
g(x) = x-6
Domain of g: ?
k(x) = x
Domain of k: x > 0
Range of k: y > 0
Answer:
1. All real numbers
2. All real numbers
3.x>=0
4.y>=-6
Step-by-step explanation:
The domain of the sum of the functions is x ≥ 0 and the range of the function is y ≥ -6.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a functions g(x) and k(x)
g(x) = x - 6
The domain of the function:
D: x ∈ (-∞, ∞) or
All real numbers.
k(x) = √x
The domain of the function k(x) is x ≥ 0
The range of the function k(x) is y ≥ 0
The sum of the functions:
= g(x) + k(x)
= x - 6 + √x
= x + √x - 6
The domain of the function is x ≥ 0
The range of the function is y ≥ -6
Thus, the domain of the sum of the functions is x ≥ 0 and the range of the function is y ≥ -6.
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A perfect square is the product of any positive whole number used as a factor exactly two times. [Example: 49 is a perfect square because 7 × 7 = 49] The positive whole number N, when multiplied by 150, is a perfect square. What is the least possible positive whole number value for the number N?
Answer:
300
Step-by-step explanation:
What is the value of g(2)?
Answer:
i think its 2
D
according to me
Answer:
A
Step-by-step explanation:
use the second formula since x = 2
[tex] {2}^{3} - 9 \times {2}^{2} + 27(2) - 25 = 8 - 36 + 54 - 25 = 1[/tex]
Urgent solve this please
Answer:
39.12
Step-by-step explanation:
One of the properties of a rectangle is that every angle in it is congruent. This means that when a diagonal is drawn (a segment connecting opposite corners), a right triangle is formed. One can apply the Pythagorean theorem, this theorem states the following;
[tex]a^2 + b^2 = c^2[/tex],
Where (a) and (b) are the legs, or segments adjacent (next to) the right angle, and (c) is the hypotenuse (the side opposite the right angle).
The legs of the right triangle formed by the diagonal in a rectangle will be the sides of the rectangle. Using this knowledge, one can state the following,
[tex]a^2 = b^2 = c^2\\\\21^2 + 33^2 = c^2[/tex]
Simplify,
[tex]441 + 1089 = c^2\\\\1530 = c^2[/tex]
Inverse operations,
[tex]1530 = c^2\\\\39.1152=c[/tex]
Jack collected 18 ten dollar bills while selling tickets for a show. He gave 1 over 6 of the bills to the theater and kept the rest. How much money did he keep?
Answer:
150
Step-by-step explanation:
Collected bills: 18 * 10= 180
1/6 of 180 = 30
180-30=150
Answer:
15 ten dollar bills, 150 dollars
Step-by-step explanation:
1/6 of 18 is 3, so he gave 3 bills to the theater and kept the other 15 for himself
Find the vertex of the function. ill mark brainlist
Answer:
(2,-9)
Step-by-step explanation:
What are the zeros of f(x) = x(x-7)?
A. x = 0 and x = -7 O
B. x = 0 only ооо O
c. x = 0 and x = 7
D. X = 7 only
Answer:
c. 0 and 7
Step-by-step explanation:
. Express the ratios in its simplest form (a) 15:12 (b) 42:1
Find the value of "x" in the following 2:x :: 4:6
Answer:
See answers below
Step-by-step explanation:
Given the following ratios. We are to express them in their simplest forms
15:12
= 15/12
= (3*5)/(3*4)
= 3/3 * 5/4
= 5/4
b) 42:1
= 42/1
= 42
Given that 2:x :: 4:6
2/x = 4/6
Cross multiply
4x = 2*6
4x = 12
x = 12/4
x = 3
Hence the value of x is 3
What is the coordinates after (x+2, y + 3)
Answer:
L is (2,4) M (3,1,) N(0,4)
Step-by-step explanation:
L 0+2=2 so x is 2
L 1+3=4 so y is 4
M 1+2=3 so x is 3
M -2+3=1 so y is 1
N -2+2=0 so x is 0
N 1+3=4 so y is 4
On Monday, mark ran 1 1/3 miles to school and then 2 1/5 miles to his grandmother’s house after school. On Tuesday, he ran twice as much as the previous day. How far did mark run on Tuesday?
On Monday Mark ran for a distance of [tex]\frac{53}{15}[/tex] miles and on Tuesday he ran for a distance of [tex]\frac{106}{15}[/tex] miles.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that on Monday , Mark ran [tex]1\frac{1}{3}[/tex] miles to school and then [tex]2\frac{1}{5}[/tex] miles to his grandmother's house.
This meant the total distance he ran on Monday can be calculated by adding both the distances he travelled on the particular day i.e.,
= [tex]1\frac{1}{3}[/tex] miles + [tex]2\frac{1}{5}[/tex] miles
= [tex]\frac{4}{3}[/tex] miles + [tex]\frac{11}{5}[/tex] miles
Now , to add two fractions we need to equal denominator.
= [tex]\frac{20+33}{15}[/tex]
= [tex]\frac{53}{15}[/tex] miles
Now , on Tuesday he ran twice as much as Monday. So , the distance he ran on Tuesday is equal to :
= 2 × [tex]\frac{53}{15}[/tex] miles
= [tex]\frac{106}{15}[/tex] miles
Therefore , on Monday Mark ran for a distance of [tex]\frac{53}{15}[/tex] miles and on Tuesday he ran for a distance of [tex]\frac{106}{15}[/tex] miles.
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Kiran scored 223 more points in a computer game than Tyler. If Kiran scored 409
points, how many points did Tyler score?
Answer:
186
Step-by-step explanation:
Tyler: 223 less than Kiran
Kiran: 409
409 - 223 = 186
What is the factored form of X^9+27 A (x^3-3)(x^6+3x^3+9) B(x^3+3)(x^6-3x^3+9) C(x-3)^3(x^6+3x^3+9) D(x+3)^3(x^6-3x^3+9)
Answer:
D
Step-by-step explanation:
A bag of 3 books weighs 0.75 pounds how much will a bag of 10 books weigh
Answer:
$2.50
Step-by-step explanation:
if 3 books=0.75 lbs.
then...
1 book= 0.25
so...
0.25x10=...
10 books= $2.50
Candice bought a pencil box, shown below, to take with her to school
What is the volume of the pencil box?
Answer:
50.75
Step-by-step explanation:
You Just have to multiply length - width - and height - and you're good to go!
please help me i really need help please help please
Answer:
3.605 ft is the answer.
Step-by-step explanation:
Applying Pythagoras theorem,
a^2 + b^2 = c^2
2^2 + 3^2 = c^2
4 + 9 = c^2
13 = c^2
3.605 = c
therefore, the answer is 3.605.
:)
what is the volume of the figure?
In this figure what is the value of v
please help i really need help please
Answer:
14) equilateral triangle
15) right triangle
16) equilateral triangle
Step-by-step explanation:
14) equilateral triangle
15) right triangle
16) equilateral triangle
Which of the following sets of sides does not form a right triangle?
6, 8, 10
7, 24, 26
5, 12, 13
8, 15, 17
Answer:
7, 24, 26
Step-by-step explanation:
The correct triple should be 7,24,25
Activity
Part A
Match the factors affecting cost to their definitions. Write the name of the factor next to its definition
Answer:
cost of materials - the value of all things needed to create the good or service
opportunity cost - the value of a product given up to produce or obtain another product
fixed cost - costs that are not affected by the level of production
sunk cost - past costs that cannot be recovered
marginal cost - change in total cost that arises when the quantity produced changes by one unit
Step-by-step explanation:
Answer:
cost of materials: the value of all things needed to create the good or service
opportunity cost: the value of a product given up to produce or obtain another product
fixed cost: costs that are not affected by the level of production
sunk cost: past costs that cannot be recovered
marginal cost: change in total cost that arises when the quantity produced changes by one unit
Find the biggest even number from the
following numbers.
a. 825
b. 106
c. 610
d. 452
How does 2(3m+6) compare to 5(2m+3)-4m when m is a postive intenger .
Answer:
5(2m+3)-4m is 3 less than 5(2m+3)-4m
Step-by-step explanation:
How does 5(2m+3)-4mcompare to 5(2m+3)-4m when m is a postive intenger .
Expand 2(3m+6) and 5(2m+3)-4m
For 2(3m+6)
= 2(3m)+2(6)
= 6m+12
For 5(2m+3)-4m
= 5(2m)+5(3)-4m
= 10m+15-4m
= 10m-4m+15
= 6m+15
Take their difference
6m+15 -(6m+12)
=6m-6m+15-12
= 3
Hence 5(2m+3)-4m is 3 less than 5(2m+3)-4m
Choose the division equation that represents the fraction shown.
one fourteenth = ________
1 ÷ 14 = ________
14 ÷ 11 = ________
13 ÷ 14 = ________
14 ÷ 13 = ________
Answer:
the answer is a
Step-by-step explanation:
division equation is 1÷14
Given that f(x) = x2 – 13x + 40 and g(x) = x - 5, find f(x) = g(x) and
express the result in standard form.
Answer:
Step-by-step explanation:
f(x)=g(x)
x²-13x+40=x-5
x²-14x+45=0
what is the answer and how did you get it
Answer:
The second ball
Step-by-step explanation:
If you cared to do simple math the percent comes to ...
75%
64%
60%
50%
When peanuts are packaged in their shells, most shells have two peanuts inside, but some have three and some only have one. A quality control inspector wants to determine if more than 10% of all shells contain just one peanut. If the inspector were to conduct a hypothesis test for p, the proportion of shells with just one peanut, what would be the appropriate pair of hypotheses for the inspector to use
Answer:
c- H0: p = 0.1 and Ha: p > 0.1
Step-by-step explanation: