Answer:
[tex]\Huge \boxed{3+16i}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]3+\sqrt{-16} * 6-\sqrt{-64}[/tex]
Using imaginary number rule : [tex]\sqrt{-n} =\sqrt{n} *i[/tex]
Where [tex]n[/tex] is a positive integer.
[tex]3+\sqrt{16} *i* 6-\sqrt{64}*i[/tex]
[tex]3+4i* 6-8i[/tex]
Multiplying.
[tex]3+24i-8i[/tex]
Combining like terms.
[tex]3+16i[/tex]
[tex]\rule[225]{225}{2}[/tex]
Answer:
3 + 16i
Step-by-step explanation:
3 + √-16 * 6 - √-64
= √-16 * 6 = 24i; √-16 * 6; √-16 = 4i
= 4 * 6i multiply the numbers 4 * 6 = 24
= 24 i
√-64 = 8i; √64 apply a radical rule
= √-1 √64
= √64 i; √64 = 8
= 8i
= 3 + 24i - 8i
= 3 + 16i
Evaluate 8-m/n+p^2 when m=8,n=2,p=7
Answer:
[tex]0[/tex]
Step-by-step explanation:
[tex] \frac{8 - m}{n + p {}^{2} } = \frac{8 - 8}{2 + 49} = \frac{0}{51} = 0[/tex]
Which addition expression has the sum 8 – 3i ? (9 + 2i) + (1 – i) (9 + 4i) + (–1 – 7i) (7 + 2i) + (1 – i) (7 + 4i) + (–1 – 7i)
Answer:(9+4i) + (-1-7i), or B on edgunity
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
granola sells for 2.75 per pound.how much will 7 pounds cost?
Answer:
19.25
Step-by-step explanation:
if it sells per pound you would just multiply by 7 because thats what your looking for
have a great day :)
Answer:
$19.25
Step-by-step explanation:
One lb of granola sells for $2.75. You are trying to find how much 7 pound costs. Multiply 2.75 with 7:
($2.75/1 lb of granola) x (7/7) = (2.75 * 7/7 lb of granola)
Simplify:
2.75 * 7 = 19.25
7 lbs of granola costs $19.25
~
Five times the sum of a number and 27 is greater than or equal to six times the sum of that num
solution set of this problem?
Question:
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.
What is the solution set of this problem?
Answer:
[tex]x \leq -21[/tex]
Step-by-step explanation:
Given
Represent the number with x
So:
[tex]5 * (x + 27) \geq 6 * (x + 26)[/tex]
Required
Determine the solution set
[tex]5 * (x + 27) \geq 6 * (x + 26)[/tex]
Open Both Brackets
[tex]5 * x + 5 * 27 \geq 6 *x + 6 * 26[/tex]
[tex]5x + 135 \geq 6x + 156[/tex]
Collect Like Terms
[tex]5x - 6x \geq 156-135[/tex]
[tex]- x \geq 21[/tex]
Multiply both sides by -1
[tex]x \leq -21[/tex]
Hence, the solution set is [tex]x \leq -21[/tex]
Answer:
[tex]x\leq -21[/tex]
Step-by-step explanation:
A 12 pack of soda cost $3.25 What is the unit price
Answer:
About $0.2708 per unit ' each can '.
Answer:
$.27
Step-by-step explanation:
$3.25 / 12 = 27
Samantha conjectures that for x < -1, it is true that x5 - 2 > x. Is her conjecture correct? Why or why not?
Answer:
The conjecture cannot work for any negative numbers, It works for x > 1.3.
Step-by-step explanation:
An odd power preserves the sign. For |x| > 1, the power increases the magnitude. For x < 0, adding -2 only increases the magnitude more. A negative number of larger magnitude will not be "greater than" the reference. It will be "less than."
It only takes a counterexample to show the conjecture is incorrect.
x^5 -2 ?? x
(-2)^5 -2 ?? (-2)
-32 -2 ?? -2
-34 < -2 . . . . . . not greater than
someone pls help me !
Solve x^3 = 64 over 27
Answer:
x = 4/3
Step-by-step explanation:
x³ = 64/27x³ = 4³/3³ ⇒ expressing 64 and 27 as cubes∛x³= ∛4³/3³ ⇒ cube roots of both sidesx = 4/3 ⇒ answeris 12 rational or irrational
Answer: Rational
Step-by-step explanation: 12 is a rational number because it can be expressed as the quotient of two integers: 12÷ 1
Distance Traveled and Gas Left in Tank Distance Traveled (in miles) 0 90 180 270 Amount of Gas Left in Tank (in gallons) 15 12 9 6 How many gallons of gasoline does the car have left after it has traveled 330 miles?
Answer:
4 gallons of gasoline the car has left after it has traveled 330 miles.
Step-by-step explanation:
We are given with the following data of Distance Traveled and Gas Left in Tank below;
Distance Traveled (in miles) Amount of Gas Left in Tank (in gallons)
0 15
90 12
180 9
270 6
330 ?
As we can see from the table that for every 90 miles of distance traveled, there has been a reduction of 3 gallons of gas which is left in the tank, i.e;
From 90 to 180 - Gas reduced from 12 to 9
This means that in 1 gallon of gas, the distance traveled is = [tex]\frac{90}{3}[/tex] = 30 miles
So, from distance 270 to 300, the amount of Gas Left in Tank = 6 - 1 = 5 gallons
From distance 300 to 330 miles, the amount of Gas Left in Tank = 5 - 1 = 4 gallons
Hence, 4 gallons of gasoline is left after the car has traveled 330 miles.
What do Steven Hawking and Thomas Edison have in common?
The question is incomplete, the complete question is as follows:
What do Steven Hawking and Thomas Edison have in common
- Both men made mathematics discoveries
- Both men made discoveries that were well-received
- both men created technological inventions
- Both men used observations in their field of study
Answer:
- Both men made discoveries that were well-received
Step-by-step explanation:
Stephen Hawking and Thomas Edison were two great physicist or scientists, whose discoveries were well-recieved by all over the world.
Stephen Hawking gave theories in cosmology such as black holes that includes the second law, that states that black hole will never reduce its shape.
Thomas Edison was one of the great inventors in the history in different feilds such as mass communication, electric power generation, motion pictures, and sound recording. some of the inventions include Automatic Telegraph and tin foil phonograph.
They both have given scientific research and logics for their discoveries and so people accepted them.
Hence, the correct answer is " Both men made discoveries that were well-received ".
The answer is:
Both men made discoveries that were well-received.2. Use the ideas in drawings (a) and (b) to find the solution to
Gauss's Problem for the sum 1 + 2 + 3 + ... + n. Explain
your reasoning.
Answer:
Step-by-step explanation:
Hello, I will compute twice the sum so I need to compute,
[tex]\begin{aligned}1&+2&+...+&(n-1)&+n\\\\n&+(n-1)&+...+&2&+1\\\\-&-----&---&---&---\\\\(n+1)&+(n+1)&+...+&(n+1)&+(n+1)\end{aligned}[/tex]
1+n = n+1
2 + n-1=n+1
...
n-1+2=n+1
n+1=n+1
So, this is n times n+1 so it is n*(n+1)
[tex]2(1+2+3...+n)=n(n+1)\\\\1+2+3...+n=\dfrac{n(n+1)}{2}[/tex]
how long will an object take to travel 4.8km at 48m/s?
Answer:
what is your fav movie or show on netfix
Step-by-step explanation:
Answer:
[tex] \boxed{\sf Time \ taken \ (t) = 100 \ s} [/tex]
Given:
Distance (d) = 48 km = 4800 m/s
Speed (s) = 48 m/s
To Find:
Time taken (t)
Step-by-step explanation:
Formula:
[tex]\boxed{ \bold{ Speed \ (s) = \frac{Distance \ (d)}{Time \ (t)}}}[/tex]
Substituting value of s & d in the equation:
[tex] \sf \implies 48 = \frac{4800}{t} \\ \\ \sf \implies t = \frac{4800}{48} \\ \\ \sf \implies t = 100 \: s[/tex]
[tex] \therefore[/tex]
Time taken (t) = 100 s
if john gets 1 apple and already has 20 in a basket how many do you have in total.
Answer:
21
Step-by-step explanation:
the reason it is 21 is because u have 20 then u add 1 so it is 21 20+1=21
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
John already has 20 apples. If John gets 1 more apple, he would have 21 apples in total.
The word gets means addition. 20 plus 1 equals 21.
John has 21 apples after he gets another apple.
Ok technically I would have 0 apples since I didn't receive any only John did.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
yh so um What is 1/8of 48?
Answer: 1/8 of 48 is 6.
Step-by-step explanation: working this on a calculator helps as well! I hope that makes everything make sense
Answer:
6
Step-by-step explanation:
of means multiplication
Find the point P that partitions the line segment AB given the ratio.
A (3, 6) B(4, 3) with the ratio 2:1
(11 over 3,4)
(4,11 over 3)
(5, 8)
(10, 12 over 5)
Answer:
(11/3, 4)
Step-by-step explanation:
To calculate the coordinates of the point that partitions the line segment in the given ratio, we shall be using the internal division formula.
Mathematically, that is ;
= {(mx2 + nx1/(m+n), (my2 + ny1)/(m + n)}
m and n represents the ratios 1:2
(x1, y1) represents the coordinates of A
(x2,y2) represents the coordinates of B
From the question, let’s list out the individual values;
m = 2
n = 1
x1 = 3
x2 = 4
y1 = 6
y2 = 3
Substituting these values in the equation, we have;
(2(4) + 1(3)/(1+2) , (2(3) + 1(6)/(1 + 2))
= (8 + 3)/3 , (6 + 6)/3)
= (11/3, 12/3)
= (11/3 , 4)
hewo, cuties. I hope chu all has goodday UwU
3 - 2= 1
8 / 2=4
1 x 3 =3
1 4 3 = ily uwu
Answer:
1 4 3 4 4 = ilyvm
1 4 3 3 = ilyt
Step-by-step explanation:
Combine the like terms to create an equivalent express −3x−6+(−1)
Answer:
-3x-5
Step-by-step explanation:
-3x-6+(-1)
-3x-6-1
-3x-5
What is 2x^2=18 Solve it please!
Answer:
3
Step-by-step explanation:
[tex]2x^{2} = 18\\ => x^{2} = \frac{18}{2} =9\\ => x = \sqrt{9} = 3[/tex]
Hope u'll like it.....
Step-by-step explanation:
2x²=18
x²=18/2
x²=9
squaring both sides
and we get
x=3
Which of the following depicts a graph of a polynomial with a negative leading coefficient?
Answer:
Graph D.
Step-by-step explanation:
Hey there!
A coefficient is the number being multiplied by the variable,
Example: 5x - 5 is a coefficient
Graph d has a negative slope meaning the slope would be,
-1, -2, -3, -4, -5, ect.
So graph D is correct.
Hope this helps :)
What is an equivalent expression for s^-10 divided by s^3
Answer:
s^-13
Step-by-step explanation:
you subtract when it is division
s^-10 / s^3
-10 - 3 = -13
s^-13
Answer:
s^0.03333333333
Step-by-step explanation:
s^1/10 divided by s^3
3^2. is an example of
Answer:
3 times 2 which is 6
Step-by-step explanation:
A=
f forr
2
=
o
Need help with that plz help me
Answer:
r = 2a + k
Step-by-step explanation:
Hope this helps :D
The null hypothesis suggests that the two samples come from ___________ distribution(s), and the experimental hypothesis suggests that the two samples come from _____________ distribution(s). Group of answer choices the same; different different; different different; the same the same; the same
My question is, y=mx+b solve for b
Answer:
Step-by-step explanation:
Water flows through a pipe at a rate of 1300 cubic meters per month. Express this rate of flow in pints per day. Round your answer to the nearest whole number. please help. I'm so dumb I cant figure this out lol.
Answer:
70 pints per day
Step-by-step explanation:
1 cubic meter is 2113.38 pints
on average, there is 30 days in a month
2113.38 divided by 30 is 70.44600
70.44600 is about 70
Answer:
91590
Step-by-step explanation:
A turf roller is 0.8m wide with a
diametrer of o.4m. find the area
of the lawn
covered in m², if the
roller rotates, 20 times
Answer:
≈ 20.11 m²
Step-by-step explanation:
Area of lawn covered by one full rotation:
Ch = πdw, whereC= circumference of the roller, w = width of the roller, d = diameter of the rollerArea covered by 20 rotations of the roller:
20*πdw = 20π*0.4*0.8 ≈ 20.11 m²Can anyone pls help with this question?
Simplify the following algebraic fraction.
Answer:
work is pictured and shown
Face east, turn through an angle of 180 degree to your right, your final direction will be _________________.
east
north
south
west
Calculate the length of the third side of a triangle where AB = 6cm, BC = 8cm.
7cm
9cm
10cm
12cm
Pick out the sets of number that is NOT Pythagorean triples.
9, 40, 46
16, 30, 34
10. 24, 26
50, 120, 130
No rushing, take your time and give accurate answers.
Answer:
West
10 cm
The first one
tolong dibantu yah pliss..
Answer:
Step-by-step explanation:
a. 4/7 + 3/8 = 32/56 + 21/56 = 53/56
b. 2/5 + 5/8 = 16/40 + 25/40 = 41/40 = 1 1/40
c. 3/8 + 2/10 = 15/40 + 8/40 = 23/40
d. 4/5 + 2/6 = 24/30 + 10/30 = 34/30 = 1 4/30 = 1 2/15
e. 5/6 + 2/9 = 15/18 + 4/18 = 19/18= 1 1/18
f. 2/15 + 5/12 = 8/60 + 25/60 = 33/60 = 11/20