Answer:
The answer is ±6.
Step-by-step explanation:
The positive and negative square roots of 36 are 6. and −6. Both 6, and −6 are square roots of 36 since they both give 36 when squared:...
6^2=6×6=36
(−6)2=(−6)×(−6)=36
All positive real numbers have a positive and negative real square root which are additive inverses of one another.
The principal square root is the positive one and is the one meant when we use the √... symbol. So:...
√36=6
If we want to refer to the negative square root, then just put a minus sign in front:...
−√36=−6
The two square roots of -36 are 6i and -6i, where i is the imaginary unit.
What is Number system?A number system is defined as a system of writing to express numbers.
Since the square of any real number is always non-negative, there is no real number whose square is equal to a negative number.
Therefore, the expression √(-36) has no real square roots.
However, we can express the square root of -36 using imaginary numbers.
By definition, the imaginary unit "i" is equal to the square root of -1. Using this definition, we can rewrite √(-36) as:
√(-36) = √(36) × √(-1) = 6i
Therefore, the two square roots of -36 are 6i and -6i, where i is the imaginary unit.
To learn more on Number system click:
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how to do i need help solve
Answer:
51 cm^2
Step-by-step explanation:
We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.
We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2
316.1 -
is about 300. Which decimal, rounded to the nearest whole number, makes the equation true?
O
A. 31.6
B. 15.7
C. 6.1
D.3.16
Answer:
c
Step-by-step explanation:
A light bulb consumes 1800 watt-hour per day. How long does it take to consume 8550 watt-hours
Answer:
4 hours and 45 minutes
Step-by-step explanation:
8550 ÷ 1800 equals 4.75 which should translate into 4 hours and 45 minutes
Please help, its due soon
Old Faithful is a geyser in Yellowstone National Park that erupts according to an arithmetic sequence. The eruptions generally happen in 46 minute intervals with a constant difference of 12 minutes. Suppose that you are in the park and you know the last eruption was at 12:22 p.m. That eruption was the 4th eruption of the day. About when can you expect the geyser to erupt again? Explain.
Answer:
1:10 AM
Step-by-step explanation:
The 4th eruption of the day as at 12:22 PM. And since the time between each eruption gets 12 minutes added, the next eruption is going to happen in 48 minutes, which is at 1:10 AM. After that eruption, the time will reset and the next eruption will happen at 1:22 AM
An office spends $375.00 per month on office supplies.
The manager wants the company to decrease office
supply costs by 16%. How much money would that save
each month?
Answer:
$51 saved.
Step-by-step explanation:
Well 12% of $425 is found by multiplying
(.12)(425) = $51 saved.
1 3/4 + 1/6 + x = 7 1/2
n=7, x=4, p=0.45, find p4
Answer:
1.8
Step-by-step explanation:
All you need to do is use substitution....
p4
They gave us the value of p and it is 0.45, now we need to substitute it, into the expression to find the value
p4 = (0.45)4
0.45 * 4 = 1.8
so p4 = 1.8
Hope this helped!
Have a supercalifragilisticexpialidocious day!
In a first-aid kit the ratio of large bandages to
small bandages is 5 to 3. Based on this ratio,
how many large bandages are in the kit if there
are a total of 80 bandages?
A. 50
B. 48
C. 16
D. 40
Find slope of the line if it is defined through (5,10) and (5,-6)
Answer:
Undefined
Step-by-step explanation:
The slope is undefined as both points have the same x value.
Answer:
Undefined
Step-by-step explanation:
5 , 10
5 +0 = 5 <-- 5 , -6 <-- 10 - 16 = -6
m = [tex]\frac{y}{x}[/tex]
m = [tex]\frac{-16}{0}[/tex] <-- Doesn't sense. So the slope will be undefined
A Furniture maker used 9/10 of a can of paint to paint 9 chairs. she used the same amount of paint for each chair. How many cans of paint did she use for each chair in
Answer:
The person used 1/10 (one tenth) of the can to paint one chair.
Step-by-step explanation:
If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:
9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.
solve the inequality. Graph the solution on a number line. 7<_2
In a housing project there are 180 households in which English is usually spoken, 80 in which Spanish is usually spoken, and 40 in which the language is other than English or Spanish. A researcher approaches a house at random to conduct an interview. What is the chance that the usual language in that household will NOT be English
Answer:
The chance that the usual language in that household will NOT be English = 0.4
Step-by-step explanation:
As given ,
Total households in which languages spoken is English = 180
Total households in which languages spoken is Spanish = 80
Total households in which languages spoken is other than English or Spanish = 40
So,
Total households = 180 + 80 + 40 = 300
Now,
Household in which English language is not spoken = 80 + 40 = 120
So,
The chances that the usual language in that household will NOT be English = [tex]\frac{120}{300} = \frac{12}{30} = \frac{4}{10} = 0.4[/tex]
∴ we get
The chance that the usual language in that household will NOT be English = 0.4
Please help me solve
Answer:
52.3
Step-by-step explanation:
32+67+84= 183
183-(72.7 + 58)= 52.3
Simplify 7-(3x+5y)+6(2x-3y)+8y
Answer:
Step-by-step explanation:
First get rid of the parentheses. Distribute the - sign and the +6 to each one.
[tex]7-3x-5y+12x-18y+8y\\7+9x-5y-18y+8y\\7+9x-15y[/tex]
write the first six terms of the geometric sequence with the first term 6 and common ratio 1/3
Answer:
6, 2, 2/3, 2/9, 2/27, 2/81
Step-by-step explanation:
The nth term of a geometric progression is expressed as;
Tn = ar^n-1
a is the first term
n is the number of terms
r is the common ratio
Given
a = 6
r = 1/3
when n = 1
T1 = 6(1/3)^1-1
T1 = 6(1/3)^0
T1 = 6
when n = 2
T2= 6(1/3)^2-1
T2= 6(1/3)^1
T2 = 2
when n = 3
T3 = 6(1/3)^3-1
T3= 6(1/3)^2
T3= 6 * 1/9
T3 = 2/3
when n = 4
T4 = 6(1/3)^4-1
T4= 6(1/3)^3
T4= 6 * 1/27
T4 = 2/9
when n = 5
T5 = 6(1/3)^5-1
T5= 6(1/3)^4
T5= 6 * 1/81
T5 = 2/27
when n = 6
T6 = 6(1/3)^6-1
T6= 6(1/3)^5
T6= 6 * 1/243
T6 = 2/81
Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81
What is the coefficient of the term 12p+9q
Answer:
The answer is 12.
Step-by-step explanation:
12 is the coefficient because it is the number multiplied by the variable p in the equation.
I hope this helps u! :D
Last season Sarah was up to bat 48 times,and got 16 hits.what is the simplified ratio of Sara's hits to Sara's hits to Sara's at-bats
Answer:
48:16 ---> 3:1
Step-by-step explanation:
48 and 16 can both be divided by 4 which makes it 12:4 but that can still be reduced which would make it 3:1
lily bought a hockey stick priced at $75 but it was on sale for 25% after 10% sales tax,what is the total cost? I NEED HELPPPPPPPPPPPPPPP
When the radius of a sphene is doubled what is the resulting change in volume?
Answer:
3rd power
Step-by-step explanation:
When the radius of the sphere was doubled it doubled 8 times . it raised so much because of the third power.
Glad I could help (Maybe)
Find the area of the composite figure.
How many times smaller will a number become if is it decreased by 20%?
Answer:
Step-by-step explanation:
I'm unsure why my answer was deleted, randomly deleted a thoroughly explained answer.
20% is 20/100, 1/5, or 0.2
The number will decrease by a factor of 5.
Answer:1.25
Step-by-step explanation: for example 100 decreased by 20 percent is 80 so 100 divided by 80 is 1.25
You are checking a bag at the airport. Your bag weighs 16 pounds plus 2 more pounds for each souvenir you add. How many souvenirs can you add if bags can weigh no more than 50 pounds?
Answer:
16
Step-by-step explanation:
50 - 16 = 34
34 / 2 = 17
34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.
Quick check:
34 + 16 = 50
Hope this helps!
PLEASE HELPP!!
So frustrated does evaluate mean to find the value? So confused.
Answer:
yes it does
a. 27
b. -32
Step-by-step explanation:
a. 3 times 3 times 3 = 27
b. -2 times -2 times -2 times -2 times -2= -32
hope this helps!!
Hi, could someone solve this parametric system?
7х+4y – 5z = 2
3х +5y +kz = 4
X+ky +7z = k
9514 1404 393
Answer:
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
Step-by-step explanation:
The system can be solved by any of your favorite methods. Treat k as you would any number.
My row reduction software says the solution is ...
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
__
Clearly, k ≠ 31/7.
The augmented coefficient matrix is attached.
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents. (10 points)
Answer:
(1, 5)Step-by-step explanation:
Both of the graphs include infinite number of points.
The solution is the common point that belongs to both of the graphs, the intersection point.
We can see it is the point (1, 5)
This is the point when the temperature change is positive 1 degree. At this point number of visitors is equal to number of those leaving the part early.
If a number is decreased by 19 the result is -15 What is the number?
Answer:4
Step-by-step explanation:
I need help with this
look at picture
Complementary angles
Step-by-step explanation:
80° - x + 80° = 90° { being complementary angles }
160° - x = 90°
x = 180° - 90°
x = 70°
I need help ASAP!!!!!
Answer:
3
Step-by-step explanation:
The square root of 9 is 3
what is a bar diagram
Answer:
A bar graph shows amounts as bars of different sizes and, sometimes, of different colors. Longer bars represent larger numbers.
f(x) =
2x2 + 4x – 3
- 22 – 5x – 2
Find f'(x) and f''(a).
f'(x) =
PENER
-
SURRETH
HER
f''(x) =
THE
9514 1404 393
Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
__
f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
__
Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³