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.
7x^2+8=18x Need help learning factoring please put work so I can understand
Answer:
(x - 2)(7x - 4)=0
Step-by-step explanation:
[tex]7 {x}^{2} + 8 = 18x \\ 7 {x}^{2} - 18x + 8 = 0 \\ 7 {x}^{2} - 14x - 4x + 8 = 0 \\ 7x(x - 2) - 4(x - 2) = 0 \\ (x - 2)(7x - 4) = 0[/tex]
A concert hall has seven sections. Each section has 23 rules. Please roll has 14 seats. If the theater sells out pretty particular performance, how many people attended? If the average ticket sold for $20, how much was collected at the box office? Need to write an equation. Thanks
Answer:
The number of people that attended the performance = 2,254
Amount collected at box office = $45,080
Step-by-step explanation:
For the theater to sell out a performance, it means it was filled to the brim( completely filled)
We have 7 sections, with 23 rows each
The total number of rows will be 23 * 7 = 161 rows
Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats
Secondly we want to know how much was collected at the box office given the average ticket price
The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080
Is 0.35217534 a rational
Answer: YES
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is in integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
--------------------------------------------------------------
0.35217534
It is a terminating decimal, which fits the third point.
So it is rational.Hope this helps!! :)
The price of apples can be determined by the equation P = 0.23n, where P is the price and n is
the number of apples. What is the constant of proportionality (unit rate)?
Answer:
0.23
Step-by-step explanation:
Basically, the unit rate is how much its increasing every time you add on. So if it were 2+2+2 the unit rate would be 2! Hope this helps!
Which of the following is the rule for the geometric sequence 1, 3, 9, 27, . . .?
Answer:
[tex]a(n) = 1 \times {3}^{n - 1} [/tex]
Step-by-step explanation:
We started at 1And it seems that index after index it multiplies by 3The formula for the geometric sequence defined implicitly is a(n) =a(1)r^(n-1)[tex]a(n) = a(1) {r}^{n - 1} \\ a(n) = 1 \times {3}^{n - 1} [/tex]
Answer:
D
Step-by-step explanation:
(20 points & brainliest)
Answer:
1
Step-by-step explanation:
Anything to the power of 0 is 1, so the answer is 1.
2) translation: 1 unit left and 2 units up
Answer:
[tex](x,y)\rightarrow(x-1,y+2)[/tex]
Step-by-step explanation:
One unit left would be subtracting 1 from the pre-image's x-value.
Two units up would be adding 2 to the pre-image's y-value.
The translation rule would be:
[tex](x-1,y+2)[/tex]
Hope this helps.
The coordinates after the translation of 1 unit left and 2 units up will be (x-1,y+2).
What is geometric transformation?It is described as the alteration of the geometric body's form and coordinates. It is also known as a two-dimensional transformation. Rotation, translation, reflection, and gliding translation are just a few of the geometric transformations that may affect geometry.
It is given that the coordinates of the points are (x,y)
We have to find the coordinates after the translation of 1 unit left and 2 units up.
A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.
The final unit would be to deduct 1 from the x-value of the pre-image. The pre-y-value images would be increased by 2 by moving two units higher.
Thus, the obtained coordinates will be (x-1,y+2).
The question is incomplete.
The complete question is" if the coordinates of the points are (x,y). What will be the coordinates after the translation of 1 unit left and 2 units up?
Learn more about the geometric transformation here:
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The graph shows the favorite colors chosen by some middle school students. Which statement is supported by the information in the graph?
Answer:
Um you didnt attach a file or anything make one again and ill answer it just attach a screenshot of the problem
Step-by-step explanation:
Answer:The answer is C :exactly 18% of the students chose blue as their favorite color.
F(x) = x + 4
G(x) = x^2 + 4
Find (fog) (3)
6b^2+8b-10=0
please show how to do work
Greetings from Brasil....
Let's solve this 2nd degree equation.
6b² + 8b - 10 = 0 dividing all terms by 2
3b² + 4b - 5 = 0 applying the baskara formula
Δ = 4² - 4 · 3 · (- 5)
Δ = 76
b = (- 4 ± √76)/6 so
b' = (- 4 + √76)/6b'' = (- 4 - √76)/6Two angles are supplementary if the sum of their measures is 180.
45 + 4x = 6x + 5
I don't understand how to do it can you pleas help put??
Answer:
x=20
Step-by-step explanation:
45+4x=6x+5
45=2x+5
40=2x
20=x
x=20
Answer:
x = 20
Step-by-step explanation:
45 + 4x = 6x + 5
45 - 5 =6x - 4x
40 = 2x
x = 40/2
x = 20
Check:
45 + 4*20 = 6*20 + 5
45 + 80 = 120 + 5 = 125
Look at the number in the place-value table. The value of the 8 in the hundreds
place is how many times the value of the 8 in the tens place?
Hundred
Thousands
Ten
Thousands
Thousands
Hundreds
Tens
Ones
6
5
S
S
0
(3) 100
>) 10
») 80
0800
Oh
Answer:
10 times the value
Step-by-step explanation:
The value of 8 in the hundreds place (800) is 10 times the value of 8 in the tens place (80).
I figured this out by dividing 800 by 80 = 10.
Similar triangles assignment
Answer:
Not similar
Step-by-step explanation:
Answer:
D. Not Similar
Step-by-step explanation:
It's not A because AA doesn't prove congruence.
It's not B because SSS is not on the diagram, unless it's given that three sides are congruent to each other.
It's not C because there's not any sides that are congruent to one another unless it is given.
The temperature falls 15º and then rises 18°
Answer:
3 degrees
Step-by-step explanation:
Answer:
3 more then the original number
Step-by-step explanation:
If the sum of 3 and y is the sum of 2 and 2
Answer:y=1
Step-by-step explanation:
Answer:
y=4/3
Step-by-step explanation:
3+y=2+2
3y=4
y=4 divided by 3
y=4/3
Can anyone help me please very urgent due tonight being graded need help 2.Joey gets an allowance of $17 per week. He wants to buy a new basketball that costs $43.67. When will Jose be able to buy the basketball if he has already saved $22.22, but also has to pay $13.45 each week for snacks and school supplies? make an equation or inequality and solve. Show your work
(4a - 6) (30-26 +5)
Answer:
36a-54
Step-by-step explanation:
(4a - 6) (30-26 +5)
(4a - 6) (9)
36a-54
plz mark as brainliest if it helps
What is the slope of the line that passes through the points:
(6,-4), (15,-4)
-8/21
0
-8/9
Undefined
Answer:
0
Step-by-step explanation:
m=[-4-(-4)]÷[15-6]=0
Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. C. What is the length of bottom side of the scaled copy?
Answer:
The length of bottom side of the scaled copy is 12 u
Step-by-step explanation:
To solve this problem we have to know that to calculate the area of a triangle we use the following formula
a = area
b = base
h = height
a = b * h
In the triangle A the base and the height are equal to 3
b = h
Now that we know that b & h we can calculate the base of the scaled copy
72 u² = b * b
72 u² = (b)²
√(72 u²) = b
12 u = b
The length of bottom side of the scaled copy is 12 u
Can anyone help me please??
Answer:
I believe the answer is B 0.6
I hope this helps :)
Answer:
0.6
Step-by-step explanation: Since its 6, the probability should be 0.6
if 8 people shared 44 crackers equally how many crackers does each person get
Answer:
Each person gets 5 and 1/2 crackers.
Step-by-step explanation:
44/8=5.5
Answer: each person gets 5 and 1/2 crackers
Does anyone know what these are?? I desperately need help :((
Answer:
3) x=7
4) x=6
5) x=8
6) x=4
AB=24
Step-by-step explanation:
3) 3x+4x=49
7x=49
x=49÷7
x=7
4) (8x-14)+(4x+1)=59
12x-13=59
12x=59+13
12x=72
x=6
5) 6x-7=5x+1
6x-5x=1+7
x=8
6) 6x+2x+1=33
8x=33-1
8x=32
x=4
AB=6x=6(4)=24
Identify the perimeter and area of a square with diagonal length 16 cm. Give your answer in simplest
radical form
Answer:
32r2, 128 cm ^2
The area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
What is a square?A square is a parallelogram, whose all sides are congruent and all angles are right angle.
Given that, a square with diagonal length 16 cm
Let the side of the square be a,
We know that, all sides of a square are congruent,
And, the diagonal divides it into two congruent right triangles,
Therefore, using Pythagoras theorem,
a²+a² = 16²
2a² = 256
a² = 128
a = 8√2
Area = side²
Therefore, area = 128 cm²
perimeter = 4×sides = 32√2 cm
Hence, the area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
For more references on squares, click;
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Help!!! What is the area of this shape????????
Answer:
.
Step-by-step explanation:
Area of the triangle = 1/2 × the height × base length
Area = 1/2 × 5 × (8 + 8)
= 1/2 × 5 × 16
= 40 cm²
What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural Number Natural Number Whole Number
Answer:
1/3 is a rational number
Step-by-step explanation:
h(t) = at^2 + vt +h0
Witch statment describes a unit rate 1 sara ate 1 cookie 2 sara is driving 16 miles 3 sara is driving 30miles per hour 4 sara ate three crackers and 1 apple
Answer:
3; Sara is driving 30 miles per hour
Step-by-step explanation:
Here in this question, we want to select which of the options represent what a unit rate is.
When we talk of rate, we are referring to how a particular measured entity is changing in relation to another measured entity. Hence, we are simply looking at how there is a change between two measurable quantities.
Option 1 is not rate, it only tells us Sara ate 1 cookie. How Sara did this, we do not know, whether fast or slow
Option 2 is just measuring distance. We only know that Sara traveled a particular distance. We do not know how fast, or slow this has occurred
Option 3 is our answer. It clearly tells us how the distance Sara is traveling is measured against time
Option 4 is not correct, we only know the number of crackers and apples are, the rate at which this is done, we do not know
the ordered pair (a,b) gives the location of point P on the coordinate plane. The value of b is negative. The value of a is not 0. Where could point P be located on the coordinate plane?
Answer:
P can be located anywhere below the x-axis but not directly on the y-axis
Step-by-step explanation:
To start, "a" refers to the x coordinate for P and "b" is the y coordinate. The y axis is the vertical line on a graph and anything below the point of 0 is negative. If x can't be 0, that also means that it can't be on the y axis. So, if the x coordinate can be any number and y is negative, P can be anywhere below the x-axis and not on the y-axis (drawing a graph will help with understanding, too).
How many solutions are there to the equation below?
6x + 30 + 4x = 10(x+3)
O A. 1
B. Infinitely many
O c. o
Answer:
B
Step-by-step explanation:
6x + 30 + 4x = 10(x+3)
10x + 30 = 10x + 30
0 = 0