Answer:
= [tex]-\sqrt{5} i[/tex]
Step-by-step explanation:
First, reorder the terms:
[tex]\sqrt{5} i[/tex]
Then, find the complex conjugate (a pure imaginary number is its opposite):
[tex]-\sqrt{5}i[/tex]
How many times larger is 4 x 10 ^16 than 4 x 10^6?
Answer:
10^10 timesStep-by-step explanation:
To find it we will divide:
4 x 10^16 / 4 x 10^6 = 4/4 x 10^(16 - 6) = 1*10^10=10^10 timesThe first number is 10^10 times larger
Answer:
1e+16 and 1000000 multiply it then divide...
Step-by-step explanation:
Use spherical coordinates. Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 81, above the xy-plane, and below the cone z = x^2 + y^2.
Answer:
The volume of the solid is 243[tex]\sqrt{2} \ \pi[/tex]
Step-by-step explanation:
From the information given:
BY applying sphere coordinates:
0 ≤ x² + y² + z² ≤ 81
0 ≤ ρ² ≤ 81
0 ≤ ρ ≤ 9
The intersection that takes place in the sphere and the cone is:
[tex]x^2 +y^2 ( \sqrt{x^2 +y^2 })^2 = 81[/tex]
[tex]2(x^2 + y^2) =81[/tex]
[tex]x^2 +y^2 = \dfrac{81}{2}[/tex]
Thus; the region bounded is: 0 ≤ θ ≤ 2π
This implies that:
[tex]z = \sqrt{x^2+y^2}[/tex]
ρcosФ = ρsinФ
tanФ = 1
Ф = π/4
Similarly; in the X-Y plane;
z = 0
ρcosФ = 0
cosФ = 0
Ф = π/2
So here; [tex]\dfrac{\pi}{4} \leq \phi \le \dfrac{\pi}{2}[/tex]
Thus, volume: [tex]V = \iiint_E \ d V = \int \limits^{\pi/2}_{\pi/4} \int \limits ^{2\pi}_{0} \int \limits^9_0 \rho ^2 \ sin \phi \ d\rho \ d \theta \ d \phi[/tex]
[tex]V = \int \limits^{\pi/2}_{\pi/4} \ sin \phi \ d \phi \int \limits ^{2\pi}_{0} d \theta \int \limits^9_0 \rho ^2 d\rho[/tex]
[tex]V = \bigg [-cos \phi \bigg]^{\pi/2}_{\pi/4} \bigg [\theta \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3} \bigg ]^{9}_{0}[/tex]
[tex]V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ][/tex]
V = 243[tex]\sqrt{2} \ \pi[/tex]
ONLY DO THE THE ONES THAT HAVE BLUE NEXT TO THEM!!!
Answer:
You need to have an attachment or question for us to help you. :3
Step-by-step explanation:
PLEASE
Solve for x and y by graphing the system of linear equations.
y=-7/2x+3
y=-3/2x-1
Answer:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
Step-by-step explanation:
hope its right
the research director at NASA must choose five experiments for the next space shuttle. Twelve experiments are proposed. in how many ways can this decision be made if order does not matter.. how many ways can this be arranged?
Answer:
95040Step-by-step explanation:
This is the combination of 5 experiments out of 12
Formula to find the combination:
P(n,r) = n!/(n-r)!P(12,5) = 12!/(12-5)! = 12!/7! = 12*11*10*9*8 = 95040So this can be arranged in 95040 ways
7. You bought three erasers and a magazine for $6. You spent a total of $18. How much did
each eraser cost?
Answer:
each eraser cost $4
Step-by-step explanation:
Answer:
$12
Step-by-step explanation:
Which equation is the inverse of y = 9x2 – 4?
Answer:
C
Step-by-step explanation:
For edge
Answer:
correct C on e2021
Step-by-step explanation:
I Need help fast What is 18/1.69= because i don't want to fail and please give the right answer
Answer:
10.650887574
Step-by-step explanation:
Hope this helps. Good luck!
Answer: 10.6508
If you get the app Socratic, it tells you the answers from all different websites
How many metres and centimetres are in 3080mm
Answer:
3080mm = 3.08 meters
3080mm = 308 centimeters
Step-by-step explanation:
1 meter = 1000 mm
3080mm = 3080/1000 = 3.08 meters
1 centimeter = 10 mm
3080mm = 3080/10 = 308 centimeters
A commuter train travels 45 miles in 34 minutes. What is its speed in miles per hour?
What is the simplest form of 1.764?
0 21
0 42
0 3²(7²)
22(32)(74)
please explain why because I don’t want someone to guess this is kinda important, ty
Answer:
[tex]1764 = 2^2 \times 3^2 \times 7^2[/tex]
Step-by-step explanation:
Divide by the prime numbers in increasing order until you find all the prime factors.
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17
1764/2 = 882
882/2 = 441
441/3 = 147
147/3 = 49
49/7 = 7
7/7 = 1
[tex]1764 = 2^2 \times 3^2 \times 7^2[/tex]
Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another
right triangle. Which congruence theorem can be used to prove that the triangles are congruent?
AAS SSS
SAS
HL
Answer:
the answer is hl
Step-by-step explanation:
its d
Answer:
the d
Step-by-step explanation:
HL
Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69, 65. 87.
What is the mean height of Bella's corn stalks?
A 69 cm
B. 75 cm
C. 78 cm
D. 80 cm
E. 81 cm
Answer:
d
Step-by-step explanation:
.................have a great day
Erica makes $27 an hour how much does ahe make in 140 hours
Answer:
$3,780
Step-by-step explanation:
27*140=3780
Sammy deposits $200 in an account at his bank.The simple interest rate is 8%.How much interest will he earn in three years
Answer:
$48
Step-by-step explanation:
Multiply 200 by 0.08 or 8%. That is how much interest he will earn in a year. Then multiply the product by 3.
In the graph above what is the average speed for the object?
a. 0.4m/s
b. 2.5m/s
c. 3m/s
d. 0.8m/s
Answer:
c
Explanation:
Just because
On average, 2.8 babies are born each day at a local hospital. Assuming the Poisson distribution, what is the probability that no babies are born today?
Answer:
The probability is [tex]P(X = 0) = 0.6997[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 2.8[/tex]
Generally the Poisson distribution constant [tex]\lambda[/tex] is mathematically represented as
[tex]\lambda = \frac{1}{\mu }[/tex]
=> [tex]\lambda = \frac{1}{2.8 }[/tex]
=> [tex]\lambda = 0.3571[/tex]
Generally the probability distribution for Poisson distribution is mathematically represented as
[tex]P(X = x) = \frac{(\lambda t)^x e^{-t \lambda}}{x!}[/tex]
Here t = 1 day
Generally the probability that no babies are born today is mathematically represented as
[tex]P(X = 0) = \frac{(0.3571 * 1 )^0 e^{-1 * 0.3571}}{0!}[/tex]
=> [tex]P(X = 0) = 0.6997[/tex]
is x= 3 a solution to the equation 2(2x +1) + x = 8x +2-3x
I think u got right answer...
Help please I’ll mark as brainliest!
Answer:
I think its B cause i was solving it and my answer came close to letter B
Step-by-step explanation:
i tried
2/v+1/w+1/2 solve for v
Answer:
look go search Math - way its a calculator and type in your question ir really helps gives you the answer
Step-by-step explanation:
PLZ HELP ASAP (This is not a text or an exam)
Answer:
x=4
Step-by-step explanation:
As the two angles are clearly congruent because of the bisector, we set them equal to each other:
7x=3x+16
4x=16
x=4
Therefore, the value of x is 4 and not 9
Please help!!!
If h(x)= -3x-10, find h(-3)
Please give an explanation too. Thank you.
Answer:
h(-3)=-1
Step-by-step explanation:
Replace all x in h(x)= -3x-10 by -3:
h(-3)=-3(-3)-10
Now multiply -3 and -3:
h(-3)=9-10
Simplify 9 and -10 (aka add 9 and -10 together):
h(-3)=-1
Answer: h(-3)=-1
Hope this helps!
Answer:
-1
Step-by-step explanation:
If h(x)= -3x-10 and we want to solve for h(-3) then we have to plug in -3 for all x variables. h(-3)= -3(-3)-10, then solve using PEMDAS.
First multiple h(-3)= 9-10, multiple -3*-3 to get 9.
Then subtract, h(-3)=-1
I believe SAS is the correct answer but SSS is also possible so which one is it?
A) -2/3
B) -1/3
C) 1/3
D) 2/3
Answer:
D
Step-by-step explanation:
(0, -3), (6,1) these are the points
Using the slope formula:
1+3/6-0= 4/6=2/3
Thus, it is D
During a period of 112 minutes, a music station played 40 minutes of commercials. What
is the ratio of music they played to commercials they played?
Answer:
9:5
Step-by-step explanation:
112 - 40 = 72. 112 represents the total time, but you are comparing music to commercials, so you have to subtract the commercial time from the total time.Find the GCF of 72 and 40, which is 8. Divide 72 and 40. The simplified ratio is 9:5.Help anyone 5th grade math
Answer:
Equal???
Step-by-step explanation:
What type of transformation has occurred?
A Translation
B Dilation
C Reflection
D Rotation
Answer:
B dilation
Step-by-step explanation:
the shape didnt move but it got bigger
what is the slope and the y-intercept for the equation y = -3 + 6x?
Answer:
slope-6
y-intercept-(0,-3)
Step-by-step explanation:
con las medidas de los lados 8cm , 9cm ,2cm se existe un triángulo ?
Answer:
si
Step-by-step explanation:
la longitud mayor es menor que la suma de las otras 2 longitudes que es 10
If 900 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box?
Answer:
1400
Step-by-step explanation: