Express 8e^i16pie in rectangular, polar and trignometric form?
Euler's formula immediately gives
[tex]8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8[/tex]
and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.
If the ratio of the sides of two similar prisms is 4:1. Is the ratio of the volume of the prisms the same? (4:1)
Answer:
The ratio of their volumes is not the same 4:1, but [tex](4:1)^3[/tex] = 64:1.
Step-by-step explanation:
Measurements in Similar Figures
In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the other corresponding lengths can also be expressed as a:b.
In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the areas can be expressed as (a:b)^2 and the ratio of the volumes can be expressed as (a:b)^3.
We are given the ratio of the sides of two similar prisms as 4:1. The ratio of their volumes is not the same 4:1, but [tex]\mathbf{(4:1)^3}[/tex] = 64:1.
40 percent of the people in the club are new this year if there are 12 be people how many people are in the club
Answer:
The answer is 30
Step-by-step explanation:
12 ÷ 40% = 30
David's Parents have a sandwich shop. They sell sandwiches for $5 each and
bottles of water for $1 each. The owners, David's Parents, need to earn a total of
$100 by the end of the day.
a) Write a linear equation that describes the problem
b) What are the slope and the y-intercept and what do they represent?
c) Graph the linear equation the shop's revenue. Make sure to label both axes with
appropriate titles.
d) Then use the graph to determine how many sandwiches the shop must sell if no
waters are sold.
Answer:
d is answer have a great day
What value of b will cause the system to have an
infinite number of solutions?
6
y = 6x-b
+3x+12y=-3
-3x + y = -3
b =
Answer: b=6
Step-by-step explanation:
I hope this helps on edge
To make the system have an infinite number of solutions, the value of b can be any real number.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
For the system to have an infinite number of solutions, the two equations must be dependent, which means that one of the equations can be obtained by a linear combination of the other two equations.
So,
Let's rearrange the given equations into the slope-intercept form:
y = 6x - b _____(1)
3x + 12y = -3 ______(2)
-3x + y = -3 ______(3)
From equation (3),
y = 3x - 3 _______(4)
Now,
We can see that equation (1) is a multiple of equation (4) with a slope of 6/3 = 2.
Specifically, equation (1) can be obtained by multiplying equation (4) by 2 and then subtracting b from both sides.
So,
2(3x - 3) - b = 6x - b
Simplifying this expression.
6x - b = 6x - b
Since this equation is true for any value of x and b, we have an infinite number of solutions.
Therefore,
To make the system have an infinite number of solutions, the value of b can be any real number.
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are the triangles congruent? if they are, state how they are congruent.
Answer: Yes
Step-by-step explanation: by SAS
Answer:
Step-by-step explanation:
ASA postulate of congruence.
Question 1
2 (4x - 1) + 6
Equivalent to what
Answer:
2 (4x - 1) + 6 = 8x + 4 = 4(2x+1)
Step-by-step explanation:
2 (4x - 1) + 6
= (2*4x + 2*-1) + 6
= 8x - 2 + 6
= 8x + 4
= 4/(2x+1)
Answer:
4(2x+1)
Step-by-step explanation:
First, factor it out:
2(4x-1+3)
Then calculate:
2(4x+2)
Factor out 2:
2 • 2(2x+1)
Then finally multiply:
4(2x+1)
Francesca obtains a loan of $18.965.00. The loan has a simple interest rate of 3%. How much interest will Francesca owe at the end of the first year?
Answer:
$568.95
Step-by-step explanation:
Given parameters:
Value of loan = $18965
Interest rate = 3%
Time = 1year
Unknown:
Interest = ?
Solution:
The interest on a particular amount is given as:
I = [tex]\frac{PRT}{100}[/tex]
I is the interest
P is the principal
R is the rate
T is the time
I = [tex]\frac{18965 x 3 x 1}{100}[/tex] = $568.95
Use the inequality below to find the value of r .
150 - 5 r ≥ 87.5
a. r ≥ 12.5
b. r ≤ 12.5
c. r ≥ -(12.5)
d. r ≤ -(12.5)
helppp me please i’m going to fail
Given m||n, find the value of x.
x=21
Step-by-step explanation:
• 8x - 7 = 9x - 28
(group like terms)
• 8x - 9x = -28 + 7
• -1x = - 21
(negative cancels out)
• x = 21
ANSWER PLEASE LIKE FR
Answer:
63 grams
Step-by-step explanation:
42*4+Δ = 42+ 3*Δ
168 +Δ = 42 +3Δ subtract a triangle from both sides
168+Δ-Δ=42+3Δ-Δ
168 = 42 +2Δsubtract 42 from both sides
168-42 = 2Δ
126 = 2Δ divide both sides by 2
63 = Δ
an object is traveling at a steady speed of 10 1/5 km/h. how long will it take the object to travel 4 4/5
Incomplete question but the comnplete question is how long will it take the object to travel 4 4/5km
Answer: time taken for the object to travel = 0.47 hrs
Step-by-step explanation:
Step 1 -- The formulae to represent the relationship of speed, distance and time .
Speed = Distance / Time
Where Speed = 10 1/5 km/h
Distance = 4 4/5 km
Step 2 --- Solving
Time = Distance / Speed
= 4 4/5 km / 10 1/5 km/h
= 24/ 5 x 5/ 51 = 24/51 =0.47 hrs
0r
4. 8 / 10.2 = 0.47 hrs
Therefore the time taken for the object to travel = 0.47 hrs
What is 11/12 divided by 1/3
Answer:
Step-by-step explanation:
11/12 ÷ 1/3 = 2 3/4, or 11/2 as a improper fraction
hope this helps
Answer:
11/12 divided by 1/3 is the same as 11/12 * 3/1, which is 33/12.
Step-by-step explanation:
Justin played video games for the following amount of time this past week 42 mins, 35 mins, 28 mins, 55 mins, and 57 mins what was the median amount of time justin played video games this past week
Answer:
42 minutes
Step-by-step explanation:
Put all numbers in order then cross out a number from each side until you reach the middle.
28, 35, 42, 55, 57
/ 35, 42, 55 /
/ / 42 / /
Answer:
3 hours and 37 minutes
Step-by-step explanation:
42+35+28+55+57=217
217/60=3.61666.....
217-60-60-60=37
Can someone help me please?
Answer:
the first one and the last three
Step-by-step explanation:
that should be it.
PLEASE NEED HELP URGENTLY!
Raul tried to find the midpoint between 5 & 3i and 12 + 7i. Check his work below.
Sum=(5+(-3))+(12+7)i
=2+19i
so the midpoint is 1+ 19over2 i
What mistake did Raul make?
AHe subtracted the values instead of adding them.
BHe did not add the corresponding parts of the complex numbers.
CHe found the sum instead of the average because he forgot to divide by two.
DHe added the numbers in the wrong order.
Answer:
B.He did not add the corresponding parts of the complex numbers.
Step-by-step explanation:
A mid point is a point that is of equal distance to two reference points.
Given: Find the midpoint of 5+(-3)i and 12+7i.
These expressions have two parts: the value and complex number parts.
Thus the addition ought to have been;
(5+(-3i)) + (12+7i) = (5 - 3i) + (12 + 7i)
= (5 + 12) + (-3i + 7i)
= 17 + 4i
The midpoint can be determined as:
[tex]\frac{(17 +4i)}{2}[/tex]
Thus it can be observed that Raul did not add the corresponding parts of the complex numbers.
Answer:
bbbbbbbbb
Step-by-step explanation:
Select the expression that is NOT equivalent to 2 × (3 + 6).
A. 6 + 12
B. (2 × 3) + (2 × 6)
C. (2 × 6) + (2 × 3)
D. (2 × 3) + (3 × 6)
Answer:
D
Step-by-step explanation:
in answer D, the values would equal "6" and "18" which is not equivalent to the given equation
IM DUMB HELP ME WAAAAAAAAA
Answer:
Sales tax (6.5% of Subtotal) would be
The total amount comes out to
Step-by-step explanation:
The first step is to add the sales tax percentage to the gratuity percentage. In this example, that would equal 24.5%. Next, we must divide the sum of the sales tax percent and the gratuity percent by 100 to convert to a decimal. So, 24.5% divided by 500 comes out to 0.245. Then, multiply the result by the amount of the bill to find what the sales tax and gratuity add to the bill. However, we do not have the bill amount given, so we must figure that out. In order to do this,
HELP!!!!
What is the result when the number 80 is decreased by 8%?
Answer:
79.92
Step-by-step explanation:
Step-by-step explanation:
80 decreased by 8% means;
80 - (8/100 × 80) = 80 - (0.8 × 8)
= 80 - 4.8 = 75.2
The first term of a sequence is 18, and the fifth term is 54. What is the common difference between each two consecutive terms? 36 27 18 9
Will give brainliest
Answer:
9
Step-by-step explanation:
Sorry to lazy to type
Calculation is up
Answer:
The answer to your question will be 9, sorry that im late!
Step-by-step explanation:
i need help answering this
I NEED HELP WITH B AND E
I need help on this question
Answer:
B. 63 degrees
Step-by-step explanation:
Its the same angle as the one above it.
I hope this helps :)
Have a nice day!
Answer:
B
Step-by-step explanation:
If lines AB and CD are parallel, then angle h is equal to 63 degrees
Which expression is equivalent to 8/9 divided 3/4?
don't feel like using my brain
Answer:
32/27
Step-by-step explanation:
The fractional division is draculated as follows:
(a/b) / (c/d) = (a*d) / (b*c)
then:
(8/9) / (3/4) = (8*4) / (9*3) = 32/27
What is the area of the right triangle shown below?
1.5
2.5
Answer:
Hello! The answer is 1.5
The area of the given right-angle triangle will be 1.5 unit².
What is a triangle?
A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°.
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
Given the tringle with,
Base =1.5 unit
Hypotaneous = 2.5 unit
By Pythagoras theorem
Perpendicular² = (Hypo² - Base²)
Perpendicular² = 2.5² - 1.5²
Perpendicular = 2 units.
Now the area of the right-angle triangle is
⇒ (1/2) × base × height.
Area = (1/2) × 1.5 × 2 ⇒ 1.5 unit²
Hence the area of the given triangle will be 1.5 unit².
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The solution to -3(2 - 5x) = 3x + 12 is
1. -2.25
2. -1.625
3. 1.5
4. 3
Answer:
1.5
Step-by-step explanation:
i am not certain but this is how I got it
First distribute which gives you the -3 with 2 I switched them around so I did -3(-5x+2) and you will get 15x-6
Then the opposite of subtraction is addition so you add 6 to both sides so you add six to 12 and to 6 leaving you with 15x=3x+18 you then will subtract 3x from 15x and 3 leaving you with 12x=18 the divide the numbers
After you divide you get 3/2 then put it has a decimal and you get 1.5
What is Gia's final number if her starting number is 9?
) Gia's final number is
Plaseeeeeeeeee
Answer:26
Step-by-step explanation:
Gia's final number, if her starting number is 9 is 22
How to determine Gia's final number?The rule of Gia's number is given as:
y = 2x + 4
Where x represents the starting number and y represents the final number.
Substitute 9 for x in y = 2x + 4
y = 2 * 9 + 4
Evaluate
y = 22
Hence, Gia's final number is 22
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Selecting which is the digit six is 10 times the value of the digit six in 3.161
Step-by-step explanation:
All the answers which apply are D and F
Answer:
I think it is d but I am now overthinking it so don't put too much trust in that
Given: log 5=a, log 3=b, log 2=c. Find: log30 8
Answer:
log 30 = abc
Step-by-step explanation:
Given:
log 5 = a
log 3 = b
log 2 = c
Find:
log 30
Computation:
log a + log b + log c = log abc
log 5 + log 3 + log 2 = log 30
log 30 = (a)(b)(c)
log 30 = abc