Answer:
-12.25
Step-by-step explanation:
Let's investigate what happens when negative values appear under the radical symbol (as the radicand) for cube roots and square roots.
In some situations, negative numbers under a radical symbol are OK. For example, radnegnew14is not a problem since (-2) • (-2) • (-2) = -8, making the answer -2. In cube root problems, it is possible to multiply a negative value times itself three times and get a negative answer.
Difficulties, however, develop when we look at a problem such as radnegnew214. This square root problem is asking for a number multiplied times itself that will give a product (answer) of -16. There simply is no way to multiply a number times itself and get a negative result. Consider: (4) • (4) = 16 and (-4) • (-4) = 16.
CUBE ROOTS:
radnn1
BUT
SQUARE ROOTS:
n2
Yes, (-2) x (-2) x (-2) = -8.
No problem.
Nope! (4) x (4) ≠ -16.
Nope! (-4) x (-4) ≠ -16.
bullet Square roots are the culprits! The difficulties arise when you encounter a negative value under a square root. It is not possible to square a value (multiply it times itself) and arrive at a negative value. So, what do we do?
statement
The square root of a negative number does not exist among the set of Real Numbers.
When problems with negatives under a square root first appeared, mathematicians thought that a solution did not exist. They saw equations such as x2 + 1 = 0, and wondered what the solution n3 really meant.
In an effort to address this problem, mathematicians "created" a new number, i, which was referred to as an "imaginary number", since it was not in the set of "Real Numbers". This new number was viewed with much skepticism. The imaginary number first appeared in print in the year 1545.
def The imaginary number "i" is the square root of negative one.
neg i
An imaginary number possesses the unique property that when squared, the result is negative.
irad1
Consider: irad2a
The process of simplifying a radical containing a negative factor is the same as normal radical simplification. The only difference is that the irad4 will be replaced with an "i ".
As research with imaginary numbers continued, it was discovered that they actually filled a gap in mathematics and served a useful purpose. Imaginary numbers are essential to the study of sciences such as electricity, quantum mechanics, vibration analysis, and cartography.
When the imaginary i was combined with the set of Real Numbers, the all encompassing set of Complex Numbers was formed.
Overnight, the temperature in Mayville was 4°F. But by the following afternoon, the temperature had risen 11°F. What was the temperature in Mayville that afternoon? To solve the problem, Rose added 4+11 and came up with an answer of 7°F. Is Rose correct? Why or why not?
Answer:
Rose was wrong because 4 + 11 is not 7; the answer would be 15*F
Step-by-step explanation:
4+11 = 15
hope this helps
Rose is incorrect as the temperature in Mayville that afternoon
(4 + 11)°F = is 15°F not (-4 + 11)°F = 7°F.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Overnight, the temperature in Mayville was 4°F.
But by the following afternoon, the temperature had risen 11°F.
∴ The temperature in Mayville that afternoon is the sum of the total temperatures which is,
= (4 + 11)°F.
= 15°F
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Identify the hypothesis and conclusion of each statement.
13. If the ball is red, then it will bounce higher.
14. If a plane contains two lines, then they are coplanar.
15. If the light does not come on, then the circuit is broken.
16. You must wear your jacket if it is cold outside.
Any conditional is of the form "if hypothesis, then conclusion"
=============================
13.
Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
=============================
14.
Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar
=============================
15.
Hypothesis = The light does not come on
Conclusion = The circuit is broken
=============================
16.
Hypothesis = It is cold outside
Conclusion = You must wear your jacket
It might help to rewrite the original sentence as "If it is cold outside, then you must wear your jacket" to have it match up with the "if P, then Q" format (P and Q are the hypothesis and conclusion in that order).
The Hypothesis and Conclusion of each statement are;
13. Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
14. Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar
15. Hypothesis = The light does not come on
Conclusion = The circuit is broken
16.Hypothesis = It is cold outside
Conclusion = You must wear your jacket
What is The Hypothesis and Conclusion?
The conclusion is “then,” part of a conditional statement.
The hypothesis is the “if,” part of a conditional statement
Now,
To find the hypothesis and conclusion of each statement we can change any conditional is of the form "if hypothesis, then conclusion"
The first statement is;
13. If the ball is red, then it will bounce higher.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
And, The second statement is;
14. If a plane contains two lines, then they are coplanar.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar.
And, Third statement is;
15. If the light does not come on, then the circuit is broken.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = The light does not come on
Conclusion = The circuit is broken.
And, Fourth statement is;
16. You must wear your jacket if it is cold outside.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = It is cold outside
Conclusion = You must wear your jacket
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what is the Greatest Common Factor (GCF) between two
numbers is
Please help me
Mary is half of her sister's age. The sum of their
ages is 18. How old is her sister?
Answer:
Mary's sister is 12 years old.
Step-by-step explanation:
If Mary is half of her sister's age, her sister is 2 times her age.
Represent M as Mary's age...
M+2m=18
3m=18
3m/3=18/3
m=6
But because Mary is a half of her sister's age...
6*2=12
Answer:
12 years
Step-by-step explanation:
12/2 = 6
12 + 6 = 18
Is 8.15 a natural number whole number integer rational irrational or real number ?
Answer:
Rational
Step-by-step explanation:
A rational number is a number expressed as a fraction. So the number could be a decimal or percent.
Hope This Helps :)
8.15 is a rational number
Rewrite the expression by factoring out −x4. +5x2−x42−x4
Answer:
783735e826w826
Step-by-step explanation:
1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1
Answer the question and I will mark brain also explains why you chose your answer :)
Answer:
1. 700
2.1050
Step-by-step explanation:
you add 310 and 390 and get 700
350 plus 700 is 1050
9 POWERED C = 243 (INDICES)
9^c = 243
3^(c)*2 = 243
3^(c)*2 = 3^5
Since the bases are the same the powers can be equated.
2*c =5
c = 5/2
c = 2 1/2
Check
9^2.5 = 243
Use the ^ or y^x or x^y key
64 cm
64 cm
48°
*nor drawn to scale
What is the value of x?
o
A. 42°
B. 48°
Ο Ο Ο
C 64°
O D. 84
URGENT PLS I WILL GIVE MAX POINTS PLEASE
Answer: D
Step-by-step explanation:
My Teacher gave me the answer
Point C is on line segment \overline{BD} BD . Given CD=2x,CD=2x, BD=3x+4,BD=3x+4, and BC=2x-1,BC=2x−1, determine the numerical length of \overline{BD}. BD
Answer:
[tex]BD = 19[/tex]
Step-by-step explanation:
Given
[tex]CD = 2x[/tex]
[tex]BD = 3x + 4[/tex]
[tex]BC = 2x -1[/tex]
Required
Find BD
Since C is on BD, we have:
[tex]BD = BC + CD[/tex]
Substitute values for BD, BC and Cd
[tex]3x + 4 = 2x - 1 + 2x[/tex]
Collect Like Terms
[tex]3x - 2x - 2x = -1 - 4[/tex]
[tex]-x = -5[/tex]
Multiply through by -1
[tex]x = 5[/tex]
Substitute 5 for x in [tex]BD = 3x + 4[/tex]
[tex]BD = 3 * 5 + 4[/tex]
[tex]BD = 19[/tex]
What is the midpoint of the segment with the following endpoints.
(9, 2) and (5,5)
A diesel train traveled to Las Vegas and back. The trip there took ten hours and the trip back took 14 hours. It averaged 60 mph on the return trip. Find the average speed of the trip there.
if it is 9:38 what time would it be a half and hour later
Answer:
If it was 9:38 it would be 10:08
Step-by-step explanation:
Adding 30 to 38 would be 68. And since an hour is only 60 minuets long you would change the hour to 10 and add the 8 minuets.
Hope this helped! :))
Hector is visiting a cousin who lives 400 miles away he has driven 75 miles how many more miles does he need to drive to reach his cousin’s home let d be how many miles left to reach his cousins house
Answer: Hector needs to drive 325 more miles.
42 is 6 times larger than which number
Answer:
The answer is 7
Step-by-step explanation:
6*7=42
Answer:
252
Step-by-step explanation:
42 x 6 = 252
To cheek the answer: 252 ÷ 42 = 6
Your answer should be a polynomial in standard form.
(q^2-2q+5)(q^2-5)=
Answer:
q⁴ - 2q³ + 10q - 25
Step-by-step explanation:
Step 1: Write out expression
(q² - 2q + 5)(q² - 5)
Step 2: Distribute
q⁴ - 2q³ + 5q² - 5q² + 10q - 25
Step 3: Combine like terms
q⁴ - 2q³ + 10q - 25
The value of the expression is
_____?
Answer:
the answer is 86!
hope this helped
Answer:
the answer to your question is 86
Here are two five-pointed stars. A student said, “Both figures A and B are polygons. They are both composed of line segments and are two-dimensional. Neither have curves.” Do you agree with the statement? Explain your reasoning.
Answer:A
Step-by-step explanation:
Bcnitsreksbeux
Solve it
it's easy
take as much time you need☺️
Step-by-step explanation:
101^2= [100+1]^2
[100]^2 +1^2+2×100×1
=10000+1+200
=10201
HOPE IT HELP.......
$500 deposit over 20 years with an interest rate of 5%
Answer: $1,104
Step-by-step explanation:At the end of 20 years, your savings will have grown to $1,604.
You will have earned in $1,104 in interest.
1
The admission fee to a movie is $12.50. Each concession item costs $1.75.
How much does it cost to go to the movie and then purchase 3 items at the
concession stand?
Tuition at Lukedale College costs $6,860 this year. Jasper earned a dance scholarship that will cover 25% of the cost. How much money will the dance scholarship cover?
Answer:
$1715
Step-by-step explanation:
You have to find out what 25% of $6,860 is, which is the same as dividing the total by 4, since 1/4 = 25%. So,
$6,860/4=$1715
Can someone please help me out I need this equation to be completed 5x+5x=10x I don’t understand someone please help
Answer:no solution
Step-by-step explanation:combine like terms and then subtract 10 from the other side and it becomes no solution
In segment AC, point B is between A and C. Which of the following is true?
A. Point A + Point B = Point C
B. AB + AC = BC
C. AB + BC = AC
Answer:
b
Step-by-step explanation:
Answer:b
Step-by-step explanation:
Plane zwv and plane tuv intersect at
Answer:
Option (1)
Step-by-step explanation:
Planes ZWV (shaded side) and plane TUV (Top of the box) are the two sides of the given cube or box in the picture attached,
Common edge of the given planes is side SV.
Common edge or the line where two planes meet is the line of intersection of two planes.
Therefore, line SV will be the line of intersection of the given planes.
Option (1) will be he answer.
a house with an original value of $210,000 increased in value to $300,000 in 5 years what is the ratio of the increase in value to the original value of the house ?
Answer:
6%per year
Step-by-step explanation:
210000/300000=.7
it increased by 30%
30/5=6%per year
The ratio of the increase to the original will be 0.43.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Original value = $210,000
Final value = $300,000
Increment = 300000 - 210000 = 90000
The ratio of increment to original
⇒ 90000 / 210000 = 0.43
Hence "The ratio of the increase to the original will be 0.43".
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Enter the equation of the line in slope-intercept form. Slope is 4, and (3,4) is on the line. The equation of the line is y=
Answer:
y= 4x - 8
Step-by-step explanation:
hope this helps :)
Evaluate the function 7(x) = 2x+8 when x = 6.
O 96
O 28
O 20
O 16
Answer:
20
Step-by-step explanation:
Substitute x = 6 into f(x), that is
f(6) = 2(6) + 8 = 12 + 8 = 20
Miranda needs to cut strips of paper that are 1/8 of an inch. If she has piece of paper that is 7 and 3/4 inches long. How many strips of paper can she make? *
Answer:
62
if you turn 1/8 and 7 3/4 to decimals they turn into 1/8=0.125 and 7 3/4=7.75 and 7.75/0.125=62
16 PS 19
E question Help
Some friends played a board game. During the game, one unlucky player had to move back 9 spaces
7 turns in a row. Find a number to represent that player's movements for those 7 turns
Answer:
-63
Step-by-step explanation:
Because -9 x 7 = -63. If the signs are different then it will be negative. -9 x 7 = -63 is the same like 9 x 7 = 63. I hope this answer your question!