In an earlier chapter we learned that
32=3⋅3=9
We said that 9 was the square of 3. The square of -3 is 9 as well
(−3)2=(−3)⋅(−3)=9
3 and -3 are said to be the square roots of 9.
All positive real numbers has two square roots, one positive square root and one negative square root. The positive square root is sometimes referred to as the principal square root. The reason that we have two square roots is exemplified above. The product of two numbers is positive if both numbers have the same sign as is the case with squares and square roots
a2=a⋅a=(−a)⋅(−a)
A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand.
a−−√
To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.
±9–√=±3
Zero has one square root which is 0.
0–√=0
Negative numbers don't have real square roots since a square is either positive or 0.
If the square root of an integer is another integer then the square is called a perfect square. For example 25 is a perfect square since
±25−−√=±5
If the radicand is not a perfect square i.e. the square root is not a whole number than you have to approximate the square root
±3–√=±1.73205...≈±1.7
The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers. The decimal form of an irrational number will neither terminate nor repeat. The irrational numbers together with the rational numbers constitutes the real numbers.
Example
irrationalnumber⇒19−−√≈4.35889...
rationalnumber⇒0.5=12
The value of c if, The square of a real number c is 11 less than the square of 5 is 3.74.
What is equation?In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
The square of a real number c is 11 less than the square of 5,
Write the equation as shown below,
c² = 5² - 11
c² = 25 - 11
c² = 14
c = √14
c = 3.74
To know more about equation:
https://brainly.com/question/12788590
#SPJ2
The complete question is, The square of a real number c is 11 less than the square of 5, find the value of c?
Select the correct answer
Answer:
Option B
Step-by-step explanation:
Domain of a function is represented by the set input values or x-values
Range of the function is represented by the set of output values or y-values.
From the graph attached,
y-values are varying from y = - 9 to y = 8.
Therefore, range of the function from the given graph will be,
-9 ≤ y ≤ 8
Option B will be the correct option.
Given f(x) = 5(2-x), what is the value of f(-3) ?
Answer:
f(-3) = 25
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 5(2 - x)
f(-3) is x = -3
Step 2: Evaluate
Substitute: f(-3) = 5(2 - -3)Simplify: f(-3) = 5(2 + 3)Add: f(-3) = 5(5)Multiply: f(-3) = 25Please give me the correct answer
What is the quotient of 1/10 and 9/10
Answer:
1/9 = 0.1111111
Step-by-step explanation:
jerry's softball team is made up of 15 players,and 9 of them are boys.On the team,what is ratios to boys to girls?
Answer:
9:6
Step-by-step explanation:
boys= 9 teammates
girls= 6 teammates
Question is in the image
Answer:
4.
Step-by-step explanation:
y = -2x + 3
-1 = -2(2) + 3
-1 = -4 + 3
-1 = -1
y = x - 3
-1 = 2 - 3
-1 = -1
Joan is buying a new car for a total of $23,150. If she makes equal payments for 48
months, about how much is Joan's monthly payment?
Answer:
About $482
Step-by-step explanation:
23150÷48=482.29
Round 482.29 to 482 if u want
What of the following lines is perpendicular to the line passing across the points (1,1) and (-5,-6)?
y = 6/7x + 1
y = -6/7x + 1
y = -6/7x - 1
y = 6/7x - 1
plz help urgent due now!!! i will give brainliest, and dont just take my points i need this bad, 20 points
34 Select the correct answer. Martin is ordering DVDs online. Each DVD is priced at $8.50. The website also charges a flat fee of $5.00 for shipping and handling for any size order. If Martin decides to spend no more than $56, how many DVDs can he buy?
look at pic
Answer:
i think letter d
Step-by-step explanation:
i hope you know the answer
NEED ASAP
which point represents the ordered pair (-2 1/4+ 2/3
Answer:
Point Q sry if wrong
Step-by-step explanation:
Answer:
The answer is s
Step-by-step explanation:
It’s called common sense.
write an expression equal to
[tex] {7}^{3} [/tex]
Answer:
7×7×7
Explanation:
[tex] {7}^{3} = 7 \times 7 \times 7[/tex]
When a number is raised to a power, it means that the number is multiplying itself as many times as the number written as the power.
What is the 97.2x10 for the 4th power
Which is a common denominator for 3/7 and 1/3? 21, 10, 9, 7
Answer:
a common denominator for 3/7 and 1/3 is 21
What is the slope of the line graphed below
Find the equation of the line above. Write the equation in slope intercept form.
Edmund made a scale drawing of the rectangular floor of his kitchen. In the scale
drawing, 1 inch represents 2.5 feet. The measurements of the scale drawing are
shown in the diagram.
6.4 in.
4.8 in.
what is the perimeter of the actual kitchen floor in feet?
Answer:
324
Step-by-step explanation:
Evaluate the surface integral.
S(x + y + z) dS, S is the parallelogram with parametric equations
x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 7, 0 ≤ v ≤ 3.
Answer:
[tex]\frac{115\sqrt{14} }{2}[/tex]
Step-by-step explanation:
∫∫ ( x + y + z ) ds
where :
x = u + v , y = u - v , z = 1 + 2u + v ,
0 ≤ u ≤ 5,
0 ≤ v ≤ 1
R ( u,v ) = < u+v , u-v , 1 + 2u +v > next we have to differentiate
attached below is a detailed solution
The surface integral S(x + y + z) dS, where S is the parallelogram is [tex]115\sqrt{14} /2[/tex] and this can be determined by integrating the given expression.
Given :
The surface integra S(x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 7, 0 ≤ v ≤ 3.
The following calculation can be used in order to determine the surface integral.
[tex]\rm R_u\times R_v = <3,1,-2>[/tex]
[tex]\rm ||R_u\times R_v|| = \sqrt{14}[/tex]
Now, evaluate the surface integral.
[tex]\rm I = \rm \int\int_s(x+y+z)dr[/tex]
[tex]\rm I = \int^5_{u=0}\int^1_{v=0}(u+v+u-v+1+2u+v)||R_u\times R_v||dA[/tex]
[tex]\rm I = \int^5_{u=0}\int^1_{v=0}(u+v+u-v+1+2u+v)\sqrt{14} \;du\;dv[/tex]
[tex]\rm I = \sqrt{14} \int^5_0(v+4uv+\dfrac{v^2}{2})^1_0\;du[/tex]
[tex]\rm I = \sqrt{14} (\frac{3}{2}u+4\frac{u^2}{2})^5_0[/tex]
Simplify the above expression.
[tex]\rm I = \dfrac{115\sqrt{14} }{2}[/tex]
The surface integral S(x + y + z) dS, where S is the parallelogram is [tex]115\sqrt{14} /2[/tex]
For more information, refer to the link given below:
https://brainly.com/question/22008756
What is the volume of a cylinder, in cubic feet, with a height of 5 feet and a base
diameter of 10 feet? Round to the nearest tenths place
Answer: 392.7
Step-by-step explanation:
There are 42 boys and 48 girls in sixth grade and each student must be assigned a home room. Each homeroom should have the same number of boys and the same number of girls.
what is thegreatest possible number of sixth grade students?
Answer:
50
Step-by-step explanation:
you add 42 and 48 i think
PLEASE HELP ME QUICK
A serving dish has a parabolic surface with the vertex (0, 0) at the center of the dish. When the width of the dish is 6 inches, the depth of the dish is 3 inches. The equation that models the shape of the serving dish is y = ax2. What is the value of a?
1/12
1/3
1/2
1
Answer:
B
Step-by-step explanation:
1/3
The required value of a is 1/3 for parabola [tex]y = 1/3x^2[/tex].
A parabolic dish with vertex (0,0) at the center, width is 6 inches and depth is 3 inches. y = ax² where a is to be determined.
A parabola is a cross-section cut out of the cone and represented by an equation [tex]y=4ax^2[/tex].
Here,
Vertex is at the center of the parabolic plate (0,0),
with the help of the width and depth coordinate of the one corner is(3,3).
Now put these coordinates in y = ax²
3 = a3²
a = 3/3²
a = 1/3
Thus, The required value of a is 1/3 for the parabola [tex]y = 1/3x^2[/tex].
Learn more about parabola here:
brainly.com/question/4074088
#SPJ5
Does this scatter plot show a positive trend, a negative trend, or no trend?
Answer:
no trend
a positive trend would start in the bottom left and go toward the top right
a negative trend would start at the top left and go town the bottom right
this is an example of no trend
Step-by-step explanation:
a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.
In how many map squares did we spot less than 20 plant species
help plssss
Answer:
two map squares ☺️☺️☺️☺️
2х + y = 4
у = 3х – 1
its 2 because 2plus is 2
IF I GET AN ANSWER IN 10 MIN UR VOTED BRAINLIEST
whats the best way to remember whether a number is positive or negative when adding subtracting multiplying and dividing?
Adding and subtracting with negative numbers
First, recognize that adding and subtracting are, from one viewpoint, the same thing. Subtracting a number is the same thing as adding the negative of that number. For example, 4 – 12 is the same as 4 + –12 (which, because the order of terms doesn't matter with addition, is the same as –12 + 4). With that in mind, here are the rules for adding with negative and positive numbers:
If both numbers are positive, then the answer is positive.
If both numbers are negative, then the answer is negative.
If the numbers have different signs, the answer takes the sign of the higher number.
Subtracting a negative number is the same as adding the positive of that number. For example, 5 – –4 is the same as 5 + 4.
Multiplying and dividing with negative numbers if the numbers have different signs, the answer is negative.
Find the coefficient of x^2 y^3 in the expansion of (-4x+y)^5. Give your answer as an integer.
I'll send you the picture for the question
how will u send? in another question or wat?
Answer:
cool
Step-by-step explanation:
PLEASE SHOW FULL SOLUTIONS!! Will Mark Brainliest for the best answer. The radius of a spherical balloon is 3.5 cm. What is the volume of air in the balloon? Show your answer in terms of pi or round your answer to one decimal place.
THANKS
9514 1404 393
Answer:
343π/6 cm³ ≈ 179.6 cm³
Step-by-step explanation:
The formula for the volume of a sphere is one of the volume formulas worth memorizing. It is ...
V = (4/3)πr³
For r = 3.5 cm, the volume is ...
V = (4/3)π(3.5 cm)³ = 343π/6 cm³ ≈ 179.6 cm³
The volume of air in the balloon is about 179.6 cm³.
Determine the volume of the parallelepiped with one vertex at the origin and the three vertices adjacent to it at (2, â1, â1), (2, 4, â2), and (2, â6, 1).
Answer:
23
Step-by-step explanation:
Here is the complete question
Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).
Solution
We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.
So, (1, 0, -3), (1, 2, 4) and (5, 1, 0)
[tex]A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right][/tex]
The determinant of A is the volume of the parallelepiped. So,
detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)
= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)
= 1(-4) - 1(3) + 5(6)
= -4 - 3 + 30
= 23
So the volume of the parallelepiped is 23
I need all of these please
Answer:
Step-by-step explanation:
this is the solve for the first q. only sorry
find x. please help
Answer: 29
Step-by-step explanation: 180-146= 34-5 29.
Answer:
[A] 29
Explanation:
Equation: 180 = 146 + (x + 5)
The line adds up to 180, so we need to find what x is180 = 146 + (x + 5)
Switch Sides
146 + (x + 5) = 180
Remove Parenthesis
146 + x + 5 = 180
Group Like Terms
x + 146 + 5 = 180
Add: 146 + 5 = 151
x + 151 = 180
Subtract 151 From Each Side Of Equation
x + 151 - 151 = 180 - 151
x = 29
11) Select the best answer.
How many significant figures does the following number have?
0.056
4
5
3
2
1