Answer:
-19
Step-by-step explanation:
Answer:
− 10 n d + 5
Step-by-step explanation:
Which expression is a cube root of -2?
A. Cubed root of 2 (cos(90°) + isin(90°))
B. Cubed root of 2 (cos(120°) + isin(120°))
C.cubed root of 2 (cos(60°) + isin(60°)).
D. Cubed root of 2 (cos(260°) + isin(260°))
If you raise a cube root of -2 to the third power, the resulting number will have a congruent argument. We have
-2 = 2(cos 180º + i sin 180º)
Pick a number from the 4 given options, and raise it to the third power using DeMoivre's theorem. For example,
[tex]\left(\sqrt[3]{2}\left(\cos90^\circ+i\sin90^\circ\right)\right)^3=2\left(\cos(3\cdot90^\circ)+i\sin(3\cdot90^\circ)\right)=2(\cos270^\circ+i\sin270^\circ)=-2i[/tex]
so the first option is not a cube root of -2 because the argument 270º is not congruent to 180º. Similarly, the second and fourth options are also not cube roots of -2.
On the other hand,
[tex]\left(\sqrt[3]{2}(\cos60^\circ+i\sin60^\circ)\right)^3=2(\cos180^\circ+i\sin180^\circ)[/tex]
so the third option is a cube root of -2.
The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?
Answer:
The z-score for 7.90 oz. is -3.57
Step-by-step explanation:
Data
mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.From definition of z-score:
Z = (x - mean)/sd
Replacing with data:
Z = (7.9 - 8.15)/0.07
Z = -3.57
What value ofj makes this addition sentence true? (Hint: Use properties of addition)
64+ (98 +28) = (j +64) + 98
Choose the function that is graphed below
A. Y=9^x
B. Y=3*3^x
C. Y=3^x
Answer:
B
Step-by-step explanation:
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
(2a -5)²(3a -4b)(3a +4b)Step-by-step explanation:
There are a couple of factored forms that are used here:
(a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b
a² -b² = (a -b)(a +b)
__
Part A:
Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.
√(4a²) = 2a
√25 = 5
The factoring is ...
4a² -20a +25 = (2a -5)²
__
Part B:
This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.
√(9a²) = 3a
√(16b²) = 4b
Using the above factored form, we have ...
9a² -16b² = (3a -4b)(3a +4b)
Moore's law states that the maximum number of transistors that can fit on a silicon chip doubles every two years. The function f(x)= 42(1.41) to the X power model the number of transistors, in millions, that can fit on a chip, where X is the number of years since 2000. Using this model, in what year can a chip hold 1 billion transistors?
Answer:
multiply 42 m by 1.41 = 59.22
59.22 x 59.22 = 3507.0084
3507 = 3 billion
59.22 x 20 = 1 billion
Step-by-step explanation:
The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of the room?
The area of the room is blank square feet.
Answer:
60ft^2
Step-by-step explanation:
60% of 10 is 6 and LxW is 10x6 so the area is 60 feet
Rewrite the expression with a positive rational exponent simpmplify if possible 8^-5/3
Answer:
Step-by-step explanation:
hello : here is an solution
SDRTYUK243567Iaqwertyh.
Answer
B, i think
Step-by-step explanation:
line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis
Answer:
(0,12)
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
PLEASE HELP ME!!!!!!!! I CANT GET IT! PLEASE HELP QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The length of a rectangle is four times its width. The width of this rectangle is 9 inches less than its length. Find the length and the width of the rectangle.
You answer would be 27, if I did my maths correct.
You get 27 by doing:
9*4=36
36-9=27
Correct me if I am wrong thank you!
Answer:
At first I got 39 but then I redid it and got 27!
Look at the pic in the corner it’s math
Answer:
The third one
Step-by-step explanation:
Its because we need to find the number that it has grown.
so we add the number that it grew to the size it was before.
Answer: 1.85 + x = 5.30
Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.
X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.
So we can write this as 1.85 + x = 1.30.
I need help with this please, I’m not sure if I should use the a^2+b^2=c^2
Answer:
yes, use the Pythagorean theorem
Step-by-step explanation:
it would be 6^2+15^2=c^2
Change these times to the 12-hour clock.
07:10
17:30
Answer:
7:10 am
5:30 pm
Marco is going to a local fair. He spends $5 on admission to the fair. He wants to go on rides that cost $0.75 per ride. Write an inequality and solve it to find the maximum number of times Marco can go on the ride if he wants to spend at most $35
Answer:
(35-5) / 0.75 = amount of times he can ride.
30/0.75 = 40
Does this help?
Step-by-step explanation:
Which equation has no solition
Answer:
Inconsistent equations: No solutions
For instance, 3=3 is a identity equation. A equation like 3=5 is a conflicting equation, since 3 isn't equivalent to 5. On the off chance that during the time spent tackling a equation you end up with a conflicting equation (accepting you didn't commit an error), at that point the first condition has no arrangements.
Step-by-step explanation:
HELP ASAP 100 POINTS!!!!
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer: After 30 days, you would have $30,000
Step-by-step explanation: The question clearly gives us a progression which is best described as an arithmetic progression, that is, every term (or every day's amount of money) is determined by adding a fixed amount to what you already have from the previous term (or previous day).
In order to determine the amount earned after a given number of days, we will begin by determining a formula that can be suited for calculating all through any given number of days.
The first amount is fixed already, and we shall call that a. So a equals 1000. The amount added to that is 1000, so for day 2, you shall have 1000 plus 1000 which gives you 2000. The amount added we shall call d, so for day one you earned 1000, for day two you earned 1000 plus 1000. For day three you will earn 2000 plus 1000, which gives you 3000.
Having taken day one as a, and each successive 1000 as d, observe the following trend;
Day 1 = a
Day 2 = a + d
Day 3 = a + (3 - 1)d which gives you a + 2d
Since the first day has been represented by a, the third day shall be less by one common difference which is d. Hence the formula for day n can be expressed as follows;
Day ₙ = a + (n - 1)d
Where n is the number of days, the nth day shall be less by 1 since the term already includes day 1, which is the first term, hence every term shall always be less by 1. In other words, the 30th day (or 30th term) shall be less by 1 shown as follows
Day 30 = 1000 + (30 - 1) 1000
Day 30 = 1000 + (29 x 1000)
Day 30 = 1000 + 29000
Day 30 = 30000
Answer:
You would get 1000 everyday because you would get the previous day, you would have 30,000
Step-by-step explanation:
Find the least common denominator (LCD) of
3
7
and
5
8
Answer:
56
Step-by-step explanation:
7 is a prime number
7*8 = 56
The least common denominator is 56
3/7 * 8/8 = 24/56
5/8*7/7 = 35/56
Answer:840
Step-by-step explanation:
I have no access at 6 pm
Answer:
A and E
Step-by-step explanation:
I would plug in N as any number just to see if they are equal. I did 5.
A. 28(5)-35= -105
B. 28(5-35)= -840
C. 28(5-7)= -56
D. 7(4*5-35)= -105
E. 7(4*5-5)= 105
If 50% of an item is 22.00 what is the original price ?
Answer:
$44
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
What is the area of the triangular part of the flag below
Find the area of the irregular figure. Round your answer to the nearest hundredth if necessary.
Answer:
Step-by-step explanation:
Area of the figure = Area of semicircle + area of rectangle
Area of semicircle:
d = 14 mm
r = 14/2 = 7 mm
Area = (1/2)πr²
[tex]=\frac{1}{2}*\frac{22}{7}*7*7\\[/tex]
=11 *7
= 77 mm²
Area of rectangle:
length = 14 mm
Width = 10 mm
Area = length *width
= 14 * 10
= 140 mm²
Area of the figure = 77 + 140 = 217 mm²
What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
A. 14 units
B. 13 units
C. 12 units
D. 5 units
Answer: 13 units
Step-by-step explanation:
Write a problem that could be modeled with y = 200(0.9)^x
Answer:
Step-by-step explanation:
A new TV sells for $200. Every year, the TV loses 10% of the initial value.
If cos omega =
3
5
find tan omega
Answer:
mmm 30
Step-by-step explanation:
A rectangular prism. A rectangle has a base of 7 inches and height of 3 inches. Another rectangle has a base of 7 inches and height of 4 inches. Another rectangle has a base of 7 inches and height of 5 inches. 2 triangles have a base of 3 inches and height of 4 inches. What is the area of one of the triangular faces? in.2
Answer:
6 in.2Step-by-step explanation:
Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?
Answer:
62.5%
Step-by-step explanation:
Total money with Jackson = $8
Money spent for buying collectible = $5
__________________________________________________
Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100
Numerically A as percentage of b will be expressed as (A/B)100 %
It means that if there are 100 items instead of B item then what will be the value of A.
______________________________________________________
Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)
Substituting the total money and money spent for buying collectible
we have
Percentage of money spent = 5/8 * 100 = 0.625*100 = 62.5%
Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.
Select the correct answer.
Which statement describes the situation shown in the graph?
Answer:
there is no photo??where are the graphs??
Find the quotient.
1. 48÷3=
.
2. In the expression, 96 divided by 8 = a , the quotient a =
.
3. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are
lizards in each group.
Answer:
48÷3=16
Step-by-step explanation:
In the expression, 96 divided by 8 = a , the quotient a =12
. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are2
lizards in each group.
Answer:
1. 16
2. 6
3. 2
Step-by-step explanation:
The top of the gumball machine on the left is a sphere with a diameter of 20 inches. When the machine is full it can hold 3500 gumballs, leaving 40% of the space in the machine empty. What is the approximate radius of each gumball? Round to the nearest hundredth and use 3.14 for Pi
Answer:
0.555 in
Step-by-step explanation:
The first thing we must do is calculate the volume of the machine, the volume of a wait is:
v = (4/3) * pi * (r ^ 3)
we know that the diameter is twice the radius, therefore:
r = d / 2 = 20/2
r = 10, replacing:
v = (4/3) * 3.14 * (10 ^ 3)
v = 4186.66 in ^ 3
Now, we know that by leaving 40% of space in the machine there are 3,500 chewing gums, therefore, 60% of that volume is chewing gum.
4186.66 * 0.6 = 2512
to calculate the volume of a chewing gum:
3500 * v = 2512
v = 2512/3500
v = 0.7177 in ^ 2 is the volume of a single chewing gum
if we solve the sphere formula for r, we are left with:
r ^ 3 = v * (3/4) / pi
replacing
r ^ 3 = 0.7177 * (3/4) /3.14
r ^ 3 = 0.1714
r = 0.1714 ^ (1/3)
r = 0.555
the radius of each gum is 0.555 in
