Answers
Answer:
See explanation
Step-by-step explanation:
It is impossible to take the square root of a negative number. Try any value, nothing works. [tex]2^2 = 4[/tex], and [tex]-2^2 = 4[/tex]. It just doesn't work. This is why there is no real number that satisfies [tex]\sqrt{-4}[/tex] (however it is represented as [tex]2i[/tex], i being "the imaginary number" that mathematicians made up to represent it).
When we are finding the cube root of a number, we are looking for a number that when multiplied by itself 3 times, will equal the number.
This is different than squared. Any number, positive or negative, squared will be positive. However, we can test out values and see we can end up with a negative when cubing.
For example: [tex]5^3 = 5\cdot 5\cdot 5 = 125[/tex]
HOWEVER:
[tex]-5^3 = -5 \cdot -5 \cdot -5 = -125[/tex]
We know that [tex]2^3 = 8[/tex], this means that [tex]-2^3 = -8[/tex] (as [tex]-2 \cdot -2 \cdot -2 = -8[/tex])
Hope this helped!
Related Questions
To play a game on a game board, Drew puts his game piece on START. On his first turn, he moves his game piece ahead 7 spaces. On his second turn, Drew moves his game piece back 4 spaces how many spaces away from START is his game piece now? Write an expression for the situation, then solve.. PLEASE HELP ME.
Answers
Answer:
3 spaces away from start
Step-by-step explanation
7 spaces forward
4 spaces back
7 minus 4 = 3
what 21 divided by 21
Answers
A plane consists of an infinite set of lines
Answers
Answer:
true
Step-by-step explanation:
definition of a plane
a speedboat that costs $45,000 is depreciating at a rate of 20% per year. Find the value of the boat after 4 years.
Answers
Answer:
$18,432
Step-by-step explanation:
After the first year, the speedboat is now worth $36,000 because 20% of 45,000 is 9,000, and 45,000 - 9,000 = 36,000. After the second year, it is now worth $28,800. After the third year, it is worth $23,040 since 20% of 28,800 is 5,760 and 28,800 - 5,760 = 23,040. After four years, the boat that once was worth $45,000 is now worth $18,432.
After 4 years, the value of boat is $9,000.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
A speedboat costs $45,000 is depreciating at a rate of 20% per year.
So, The depreciating amount after one year = 20% of $45,000
= 20/100 × 45,000
= $9,000
Thus, The value of boat after 4 years = $45,000 - 4 × $9,000
= $45,000 - $36,000
= $9,000
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Evaluate g(-4) when g(b)
=
- 4(12.5b - 2)
Can someone help please?
Answers
PLEASEEE HURRYYY
find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5
Answers
Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is the radius.
[tex](x-(-2))^2+(y-(-4))^2=(5)^2[/tex]
[tex](x+2)^2+(y+2)^2=25[/tex]
Now, put x=2.
[tex](2+2)^2+(y+2)^2=25[/tex]
[tex](4)^2+(y+2)^2=25[/tex]
[tex](y+2)^2=25-16[/tex]
[tex](y+2)^2=9[/tex]
Taking square root on both sides.
[tex]y+2=\pm\sqrt{9}[/tex]
[tex]y+2=\pm3[/tex]
[tex]y+2=-3\text{ or }y+2=3[/tex]
[tex]y=-5\text{ or }y=1[/tex]
So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
show that (-3, 2) (1, -2) and (9, -10) are collinear?
Answers
Answer:
See below
Step-by-step explanation:
See attached
Given points:(-3, 2), (1, -2) and (9, -10)Method 1Plot points on a graph and connect them, if they make a straight line, then they are collinearMethod 2Chose 2 pairs of points and find a slope, if slopes are equal then they are collinearm1 = (-2 - 2)/(1+3) = -1m2 = (-10 +2)/(9 - 1) = -1How many packs of DVD's can you buy with one hundred twelve dollars if one pack costs fourteen dollars ?
Answers
Answer:
8 packs
Step-by-step explanation:
112/14=8
there are quite a bit of them but i just need someone to convert these fractions to decimals....thanks<3
Answers
Answer:
1/9=0.111111111 2/9=0.222222222 3/9=0.333333333 4/9=0.444444444
5/9=0.555555556 6/9=0.666666667 7/9=0.777777778 8/9=0.888888889
Step-by-step explanation:
sorry i dont have time to do them all but heres all of the nines
find the derivative of y=cos^2(5x^3-2x)
Answers
Step-by-step explanation:
Use power rule and chain rule.
y = cos²(5x³ − 2x)
dy/dx = 2 cos(5x³ − 2x) (-sin(5x³ − 2x)) (15x² − 2)
dy/dx = 2 cos(5x³ − 2x) sin(5x³ − 2x) (2 − 15x²)
Use double angle formula to simplify:
dy/dx = sin(10x³ − 4x) (2 − 15x²)
what is 2 x d x 5 x d x d x 5
Answers
Answer:
i dunno
Step-by-step explanation:
ok so say d= 2
in that case the answer will be 400 but u can put anything in place as d all you have to do is multiply easy
Find the area of △ABF. Round the area to the nearest whole number, if necessary.
Answers
Answer:
Area of ΔABF = 6 square units
Step-by-step explanation:
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the ΔABF is 6 units².
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
To find the area of the ΔABF, we need to find the length of the base and the altitude of the triangle. Therefore, we can write the lengths as,
Base, FA = [tex]\sqrt{[-5-(-2)^2]+[4-1]^2}[/tex]
=√[(-5+2)² + (3)²]
= √[(-3)² + (3)²]
= √(9 + 9)
= √18
= 3√2
Altitude, BF = [tex]\sqrt{[0-(-2)^2]+[3-1]^2}[/tex]
=√[(0+2)² + (2)²]
= √[(2)² + (2)²]
= √(4 + 4)
= √8
= 2√2
Now, the area of the triangle can be written as,
Area of the triangle = (1/2) × Base × Altitude
= 0.5 × 3√2 × 2√2
= 6 units
Hence, the area of the ΔABF is 6 units².
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There are 50 campers at a daycamp and 10 counselors write the ratio of campers to counselors as a fraction explain how to use equivalent fractions to write a related rate and unit wait what does the unit 830
Answers
Given that there are 50 campers at day camp and 10 counselors.
The ratio of campers to counselors as a fraction is given by .
Using equivalent fractions we have .
Thus, the related rate and unit rate to the ratio of campers to counselors is given by .
The unit rate indicates that for every counselor, there are 5 campers.
Your welcome :3
complete the sentence. the midpoint btween 2 and 10 is
Answers
Answer:
6
Step-by-step explanation:
PLEASE HELP ME ILL GIVE YOU BRAINLIEST PLUS 20 POINTS BUT IT HAS TO BE CORRECT. g(x)=square root sign x+3
Answers
g(x)=✔️x+3
X+3=0
X=-3
Answer:
Step-by-step explanation:
Domain: 0,∞),{x|x≥0}
Range: 3,∞),{y|y≥3}
Consider the algebraic equation x + 3 = 9.
How many values could we substitute for x to have a true number sentence
Answers
Answer:
isn't it only one
Step-by-step explanation:
Because 6+3=9
The National Academies of Sciences Engineering, and Medicine
determined the daily water intake is about 15.5 cups for males per day
How much water should a young man drink per day in liters?
4 cups = 1 qt, 1.06 gts = 1 L
Answers
Greetings from Brasil...
According to the annex, we note that
1 qt = 1 quart = 0.95L
To solve this problem, just apply some rules of 3.....
1st - how many qt's are in 15.5 cups
qt cup
1 ---------- 4
X ---------- 15.5
4 · X = 1 · 15.5
4X = 15.5
X = 15.5 ÷ 4
X = 3.875qt
Last rule of 3 to know how many liters there are in 3.875qt:
qt litres
1 ---------- 0.95
3.875 ---------- Y
1 · Y = 0.95 · 3.875
Y = 3.68LIn a day a young man should drink 3.68L of water
Adam’s bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:
Transaction
Cost ($)
Car payment
260.16
Groceries
97.98
Parking ticket
75.00
DVD box set
115.35
Antique lamp
68.53
Suit
331.84
Adam is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Adam afford this?
a.
Yes, he can make the purchase and still have money left over.
b.
Yes, but doing so will clear out his account.
c.
No, purchasing that would overdraw his account.
d.
No, he is overdrawn already.
Answers
Answer: B. Yes, but doing so will clear out his account.
Step-by-step explanation:
I just took a test and answered it correct.
Since Adam’s bank account has a balance of $1213.69 before he starts spending money. So, option b.Yes, but doing so will clear out his account.
Calculation of the amount:Since
Adam’s bank account has a balance of $1213.69 before he starts spending money.
The total of transactions should be like
= $260.16 + $97.98 + $75 + $115.35 + $68.53 + $331.84
= $948.85
Now the balance amount is
= $1,213.69 - $948.85
= $264.84
Based on this, we can say that the option b is correct.
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Please help me solve this radical problem
Answers
Factor 20r+60t to identify the equivalent expressions.
Answers
20r + 60t
The greatest common factor we can factor from both of these terms is 20.
20(r + 3t). This is the final answer.
Answer: It is 4(5r+15t) and it 20(r+3t)
Step-by-step explanation:
sorry I don't know how to explain it to u
9x+5y=8
3x–y=4
what is the y-value of the solution to the system?
Answers
Answer:
y=7.51
Step-by-step explanation:
First, you have to simplify one of the equations down
3x-y=4
y=-4+3x
Second, you insert the value of y into the other equation and then solve for x
9x+5(-4+3x)=8
9x-20+15x=8
24x=28
x=1.17
Last, insert the value of x into the original equation and then solve for y
y=4+3(1.17)
y=7.51
Will mark you brainliest
Answers
Answer:
its f
Step-by-step explanation:
Suppose Bill rides his car at 30 mph. If he travels at this speed, what dista
will he cover in 2 hours?
Answers
Answer:
60miles
Step-by-step explanation:
Answer:
60 miles
Step-by-step explanation:
If he's going 30 miles/hour, then you just multiply 30 by 2.
Which number is irrational?
3-27/3
25/9
pi/3•27
4.12
Answers
Answer:
pi/3•27
Step-by-step explanation:
Correct on that quiz. Edg2021
What is the inverse of the function h(x) =3/2(x-11)
Answers
Answer:
Step-by-step explanation:
Answer:
[tex]h^{-1}[/tex](x) = [tex]\frac{2}{3}[/tex] x + 11
Step-by-step explanation:
let y = h(x) and rearrange making x the subject , that is
y = [tex]\frac{3}{2}[/tex] (x - 11 ) ← multiply both sides by 2 to clear the fraction
2y = 3(x - 11) ← distribute
2y = 3x - 33 ( add 33 to both sides )
2y + 33 = 3x ( divide all terms by 3 )
[tex]\frac{2}{3}[/tex] y + 11 = x
Change y back into terms of x with x = [tex]h^{-1}[/tex](x) , thus
[tex]h^{-1}[/tex](x) = [tex]\frac{2}{3}[/tex] x + 11
Helppp!!! Louis donated money to what he believed to be a reputable charity. He later
discovered it was a scam. What action should he take to seek retribution?
Report the incident to the Federal Trade Commission.
File a complaint with the Federal Bureau of Investigation.
Post bad reviews on social media.
Call the local police department.
Answers
Answer:
Report the incident to the federal trade commission
The action he should take to seek retribution is to report the incident to the Federal Trade Commission, the correct option is A.
What is the work of Federal Trade Commission?The Federal Trade Commission is an Independent entity, its main goal is the enforcement of civil law and protection of consumer rights.
Louis donated money to what he believed to be a reputable charity. He later discovered it was a scam.
He should seek help from Federal Trade Commission.
To know more about Federal Trade Commission
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find the distance between each pair of points (-1 -4) and (1, -1)
Answers
Answer:
Square root of 13, or 3.60555127546 (95% sure)
Step-by-step explanation:
Pythagorean Theorum
The two bases of the "triangle" are lengths of 2 and 3
2^2=4 3^2=9
4+9=13
square root of 13 is 3.60555127546
Which scenario could be represented by the algebraic expression n minus 13? A) Ariel wants to find the difference of a number and 13. B) Ariel wants to find the product of 13 and a number. C) Ariel wants to find the sum of a number and 13. D) Ariel wants to find the difference of 13 and a number.
Answers
Answer:
A. Ariel wants to find the difference of a number and 13.
Step-by-step explanation:
Just took the test
Answer:
A
Step-by-step explanation:
A EDGE 2021
Solve: 8- (y + 3) = 11
y = 6
y = 3
y=0
y = -6
Answers
Answer:
y = - 6
Step-by-step explanation:
Given
8 - (y + 3) = 11 ← distribute and simplify left side
8 - y - 3 = 11
5 - y = 11 ( subtract 5 from both sides )
- y = 6 ( multiply both sides by - 1 )
y = - 6
Write 4.81 as a mixed number in simplest form.
Answers
Answer:
Step-by-step explanation:
4.81
[tex]=\frac{ 481}{100} \\=4\frac{81}{100}[/tex]
Answer:
4 [tex]\frac{81}{100}[/tex]
Step-by-step explanation:
A mixed number is a combination of a whole number with a fraction. To make the fraction part, we need to take the decimal. In this case, the decimal is .81
.81 is equivalent to 81/100
81/100 is already in its simplest from since 81 is not divisible by 2
The final answer is 4 [tex]\frac{81}{100}[/tex]
