Question 8 of 10
2 Points
For any nonnegative real number a, (√a)^2 = ____.
A. √a
В. а
C. 1
D. a^2
Answer:
B
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] = [tex]a^{\frac{1}{2} }[/tex]
Thus
([tex]\sqrt{a}[/tex] )² = [tex]a^{\frac{1}{2} }[/tex] × [tex]a^{\frac{1}{2} }[/tex] = [tex]a^{(\frac{1}{2}+\frac{1}{2}) }[/tex] = [tex]a^{1}[/tex] = a → B
What is the result of adding these two equations?
\begin{aligned} 5x-y &= 6 \\\\ -2x+y &= 8 \end{aligned}
5x−y
−2x+y
=6
=8
Answer:
the result of adding these two equations is
3x = 14
Step-by-step explanation:
We are given two equations
5x − y = 6 eq. 1
−2x + y = 8 eq. 2
Add the like terms together
5x - 2x = 3x
− y + y = 0
6 + 8 = 14
So the result of adding these equations is
3x + 0 = 14
3x = 14
Bonus:
The value of x is
3x = 14
x = 14/3
Answer:
3x = 14
Step-by-step explanation:
It worked on khan
Which calculator correctly shows the quotient 6.47x10^-15/3.36x10^-29
1.92559524e+14
Step-by-step explanation:
6.47 x 10^-15 and 3.36 x 10^-29 are written in scientific notation. In this way, we have a quotient of two numbers written in scientific notation. To solve this problem, we have:
6.47/3.36 x 10^{[-15-(-29)]}=1.92559524 x 10^{(-15+29)}
Therefore 1.92559524 x 10^{14} or 1.92559524e+14
1.92559254e+ 14 is the correct value of the given expression.
What are mathematical operations?
The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
given a number 6.47x10^-15/3.36x10^-29
Solving this given number using PEMDAS
=> 6.47x10^-15/3.36x10^-29
=> (6.47 * 10⁻¹⁵) / (3.36 * 10⁻²⁹)
=> (6.47 / 3.36) * 10⁻¹⁵ ⁺ ²⁹
=> 1.92559254 * 10¹⁴
in Scientific notation:
=> 1.92559254e+ 14
therefore, the correct value of the given expression is 1.92559254e+ 14.
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Suppose you will perform a test to determine whether there is sufficient evidence to support a
claim of a linear correlation between two variables. Find the critical values of r given the
number of pairs of data n and the significance level a.
n=12. a.= 0.01
Answer:
The critical values of r are -0.708 and 0.708.
Step-by-step explanation:
A statistical test is being performed to determine whether there is any linear correlation between two variables.
The hypothesis can be defined as follows:
H₀: There is no linear correlation between two variables, i.e. ρ = 0.
Hₐ: There is a significant linear correlation between two variables, i.e. ρ ≠ 0.
The test statistic is given as follows:
[tex]t = \frac{r\sqrt{n-2}}{\sqrt{1-r^{2}}}[/tex]
The degrees of freedom of the test is:
[tex]\text{df}=n-2=12-2=10[/tex]
The significance level of the test is, α = 0.01.
The critical values of r are:
[tex]r_{\alpha/2, (n-2)}=r_{0.01/2, (12-2)}=r_{0.005, 10}=\pm0.708[/tex]
*Use the r critical value table.
Thus, the critical values of r are -0.708 and 0.708.
From the 'r' table, the values of 'r' are -0.708 and 0.708.and this can be determined by using the hypothesis test.
Given :
Suppose you will perform a test to determine whether there is sufficient evidence to support the claim of a linear correlation between two variables.Number of pairs of data n and the significance level a is n = 12, a = 0.01.The hypothesis test is performed in this problem. The null and alternate hypothesis is:
[tex]\rm H_0 : p=0\\[/tex]
[tex]\rm H_1:p\neq 0[/tex]
The t-statistics is given by:
[tex]\rm t =\dfrac{r\sqrt{n-2} }{\sqrt{1-r^2} }[/tex]
Degree of freedom is given by:
df = n - 2 = 12 - 2 = 10
The significance level for this test is [tex]\alpha = 0.01[/tex]
Now, the critical value r is given by:
[tex]\rm r_{\alpha /2,(n-2)}=r_{0.01/2,(12-2)}=r_{0.005,10} = \pm0.708[/tex]
So, from the 'r' table, the values of 'r' are -0.708 and 0.708.
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Debbie is making an abstract painting with two triangles. The dimensions of the painting are shown below: Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches. The total area of the two triangles is _____ square inches.
The entire figure could be taken as a trapezium
A=1/2h(a+b)
h=8, a=6 and b=10
A=1/2×8(6+10)
A=4×16
A=64sq Inch
Answer:
128 or 56
Step-by-step explanation:
(8 X 10) + (6 X 6)
80 + 48 = 128
OR
No 10 eliminate it because it on the line
8 X (6 X 6) = 48 + 8 = 56
Help!!due today help as quickly plz 3 and 4
Answer and Step by Step explanation:
3. 7(1.5) + 2(4) + 3(6.5) + 5(7)
= 10.5 + 8 + 19.5 + 45
= 83 grams of salt
You look at the x-axis of the graph and that is the amount of grams of salt, and the dots represent one container. So you multiply the number of dots (containers) by the amount of grams (stated on the number line).
4. 83 x 2
= 166 grams of salt
This is because you already solved how much one of each container would be in the last question (question 3), so you would just have to multiply it my 2 to get the answer.
Bryce did chores every single day in september.It took Bryce 7/8 hours to completing his chores on 20 of the days.The remaining days of the month it took him 1 hours to complete his chores.How many hours did Bryce do chores in September?(there are 30 days in September). ANSWER STEP BY STEP. PLZZZ ANSWER I REALLY NEED HELP
Answer:
Step-by-step explanation:
Because Bryce did 7/8 hours every day for 20 days,
7/8 hours is 52.5 minutes.
so then times 20, you will get 1050 minutes.
Then divided by 60(minutes per hour) you will get 17.5 hours,
which means she did 17 hours and 30 minutes in the first 20 days,
then you plus the last 1 hour per day for 10 days,
you will get 10 hours plus 17 hours and 30 minutes.
So Bryce have worked 27 and 30 minutes in september.
(I wish this could help you)
Answer:
27.5 hours
Step-by-step explanation:
Total hours:
20*7/8 + 10*1= 35/2+10=17.5+10= 27.5 hours
-If f(x) = 4x - 6 and g(x) = 2x, find Ax) g(x).
A. 6x² – 8x
B. 6x2 – 12x
C. 8x2 - 12x
D. 6x - 6
Answer:
Step-by-step explanation:
2x(4x -6)
8x^2 - 12x
the answer is c
The sides of a triangle measure 15 cm, 20 cm, and 25 cm.
What is the area of the triangle?
What is the following product?
RootIndex 3 StartRoot 4 EndRoot times StartRoot 3 EndRoot
2 (RootIndex 6 StartRoot 9 EndRoot)
RootIndex 6 StartRoot 12 EndRoot
RootIndex 6 StartRoot 432 EndRoot
2 (RootIndex 6 StartRoot 3,888 EndRoot)
Answer:
RootIndex 6 StartRoot 432 EndRoot
Step-by-step explanation:
To find the following product
[tex] \sqrt[3]{4} \times \sqrt{3} [/tex]
we can rewrite the radicals and then replace them into the multiplication, as follows:
[tex] \sqrt[3]{4} = 4^{\frac{1}{3}} = 4^{\frac{1}{3} \times \frac{2}{2}} = 4^{\frac{2}{6} = \sqrt[6]{16}[/tex]
[tex] \sqrt{3} = 3^{\frac{1}{2}} = 3^{\frac{1}{2} \times \frac{3}{3}}} = 3^{\frac{3}{6}} = \sqrt[6]{27} [/tex]
[tex] \sqrt[3]{4} \times \sqrt{3} = \sqrt[6]{16} \times \sqrt[6]{27} = \sqrt[6]{16 \times 27} = \sqrt[6]{432} [/tex]
Answer:
C edge 2021 :)
Step-by-step explanation:
What is the m < FAB?
Answer:
∠ FAB = 75°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FAB is an external angle, thus
13x - 3 = 3x + 2 + 55 = 3x + 57 ( subtract 3x from both sides )
10x - 3 = 57 ( add 3 to both sides )
10x = 60 ( divide both sides by 10 )
x = 6
Thus
∠ FAB = 13x - 3 = 13(6) - 3 = 78 - 3 = 75°
Please tell me which option it is !?!?
Answer:
it is the second option. answer is x[tex]\leq[/tex]-8/3 or x>4
Step-by-step explanation:
we have the inequality 3x+8/x-4=0
we first multiply both sides by 4 the 4 cancels out on the left-hand side and 4*0 is 0 so we now have 3x+8=0 then we subtract both sides by 8 and get 3x=-8 then we divide both sides by 3 and get x=-8/3
x[tex]\leq[/tex]-8/3 works in the original inequality
-8/3[tex]\leq[/tex]x[tex]\leq[/tex]4 does not work
x>4 does work
Answer:
its the first one I promise I even used a special calculator to be sure it is 100% the first option trust me
In order to solve 439-165 would I need to regroup to solve? If yes in what place? Why?
Yes, you need to regroup in the ________place because
______________________.
Answer:
Yes you would need to regroup in the tens place because 3 is less than 6.
Answer:
Yes you would need to regroup in the tens place because 3 is less than 6.
Have a great day
what is (3²-2³)⁶⁶ total
Answer:
1
Step-by-step explanation:
(3²-2³)⁶⁶ = (9 - 8)⁶⁶ = (1)⁶⁶ = 1
(3²-2³)⁶⁶ total is 1
To evaluate (3²-2³)⁶⁶, we will first simplify the expression we have in the bracket before carrying out the power operation
From (3²-2³)⁶⁶
(3²-2³) can be simplified as shown below
3² = 3 × 3 = 9
and
2³ = 2 × 2 × 2 = 8
∴ (3²-2³) = (9 - 8) = (1)
∴ (3²-2³)⁶⁶ becomes (1)⁶⁶
(1)⁶⁶ = 1
(NOTE: 1 raised to any power is 1)
Hence, (3²-2³)⁶⁶ total is 1
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All identities are equations, and all equations are identities.
A. True
B. False
this is false not all equations and all equations are identities are same
Solve systems of equations for x + y, please!! 12x - 8y = -12 6x + 4y = -30
Answer:
x = -3, and y = -3, or the ordered pair is (-3, -3)
Step-by-step explanation
To solve this system, you can use the elimination method:
First, write both equations down.
12x - 8y = -12
6x + 4y = -30
If you multiply the second equation by 2, you can eliminate x. Rewrite the first equation, and multiply the second one by 2:
12x - 8y = -12
12x + 8y = -60
Once added, you get the equation:
24x = -72
x = -3
Now, we just plug -3 into one of the equations and solve for y:
12x - 8y = -12
12(-3) - 8y = -12
-36 - 8y = -12
-8y = 24
y = -3
So, x=-3, and y=-3, or the ordered pair is (-3, -3)
help someone please
Answer:
C) [tex]1\frac{6}{100}[/tex]
Step-by-step explanation:
Hope this helps!
hi can anybody tell me the answer i will mark them as brainlest
Answer:
A cuboid has 6 faces its that simple
PLEASE HELP!!! The figure shown below is a square. Give the angle value (numerical, not the letters)
Answer:
45
Step-by-step explanation:
if it is a square then all angles are 90 degrees. the line halfs them all meaning 90/2=45
Answer:
Step-by-step explanation:
Diagonals of square bisect the angles ∠D,∠E, ∠F & ∠G
And we know ∠D = 90
∠2 = 90/2= 45
Please help me out with this please
The diameter of the circle is 8 units.
Circumference = pi x diameter
Circumference = 3.14 x 8 = 25.12 units.
The answer is B 25.1
Find the value of n (picture provided)
Answer:
B
Step-by-step explanation:
Absolute value works like this.
For any number you put inside the absolute value bars, it will always come out positive, so -5 and 5 can work.
Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has
10 pens left for himself.
Answer:
Im assuming they want to know how many were given to each friend? each friend would get 5 gel pens
Step-by-step explanation:
subtract the 10 that ram kept for himself from the original 35,you get 25,then divide 25 by 5 (because there is 5 friends ) which is 5 gel pens per friend
Arthur is organising his collection of DVDs. He has 112 altogether.
The ratio of comedy films to
action to horror is 6 : 7 : 3
How many of each type of DVD does he have?
Comedy
Action
Horror
Answer:
42 Comedy, 49 Action, 21 Horror
Step-by-step explanation:
6 comedy : 7 action : 3 horror = 16 parts or if you think of it as a fraction, 16 is the denominator and the numbers for each ratios are the numerators
112 (the total)/16 = 7 movies per part
6 parts of comedy = 6 x 7 = 42
7 parts action = 7 x 7 =49
3 parts horror = 3 x 7 = 21
Another way to think of it is:
(ex. comedy)
6/16=x/112
(CROSS MULTIPLY HERE)
16x=672
x=42
please help with my HOMEWORK question
please explain step by step what to do I need help
what is 16-2t=5t+9
Answer:
t = 1
Step-by-step explanation:
16 - 2t = 5t + 9
1) First move 5t to the left side
16 - 2t - 5t = 9
2) Then move 16 over to the right side
-2t -5t = 9 - 16
3) simplify both sides
-7t = -7
4) divide both sides by 7
-t = -1
5) divide both sides by -1
t = 1
Hope that helped : )
Order the cones from least volume to greatest volume
Cone A r=5 inches h=6 inches
Cone B r= 7 inches h=4 inches
Cone C r=6 inches h=5 inches
Answer:
Cone A, Cone C, Cone B
Step-by-step explanation:
The volume of a cone is V=πr^2h/3 where V represents the volume, r represents the radius, and h represents the height.
That means the volume of cone A would be:
V = π * 5^2 * 6/3
V = π * 25 * 2
V = 50π
And the volume of Cone B would be:
V = π * 7^2 * 4/3
V = π * 49 * 4/3
V = 65.33π (about)
Lastly, the volume of Cone C would be:
V = π * 6^2 * 5/3
V = π * 36 * 5/3
V = 60π
65.33π > 60π > 50π
Therefore, Cone B has the largest volume, then Cone C, and, lastly, Cone A.
A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?
Let h represent the hours traveled.
Let m represent the miles traveled.
m = 45h
h = 45m
m = 45 + h
h = 45 – m
Answer:
m=45h
Step-by-step explanation:
The independent variable here is h, the number of hours it traveled, and this determines m.
A college student reads an online ad for concert tickets and purchases a $200 ticket with the money that his parents
gave him for his textbooks.
The student's choice to spend the money his parents gave him on a concert ticket instead of textbooks is an example of
a(n)
Answer:
Irresponsible choice
Step-by-step explanation:
If his parents gave him 200 dollars to purchase textbooks. He chose to spend it on concert tickets.
Please let me know if this is correct!!!!!
Mrs. Le has 40 markers for her art class. 20% of the markers are red. How many markers are red?
Sorry wrong question delete this awnser
Find the height of the tree.
05
19
021
20
The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function?
{x: x = –1, 0, 1, 2}
{y: y = –7, –2, 3, 8}
{x: x = –7, –2, –1, 0, 1, 2, 3, 8}
{y: y = –7, –2, –1, 0, 1, 2, 3, 8}
Hey!!!
Range={y:y=-7,-2,3,8}
The right answer is of option B.
Explanation:
RangeThe set of second components or the set of elements of B are called the range.
Hope it helps...
Good luck on your assignment..
Stay safe....
Answer:
It is "B", on edge.
Step-by-step explanation:
hope it helps!