Formula for the volume of a sphere: V = 4/3 x pi x r^3
V = 4/3 x pi x 6^3
V = 4/3 x pi x 216
V = 288 pi in^3
Hope this helps!
Answer:
288 pi in ^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3 where r is the radius
V = 4/3 pi *( 6)^3
V = 4/3 pi (216)
V = 288 pi in ^3
Can y’all help me out?
Answer:
Expression is equivalent to (x^1/4 y^16)^1/2 is x^1/8 y^8
Solve log2(x + 5) + log2(x − 5) = log211.
Answer:
x = 6
Step-by-step explanation:
log2(x + 5) + log2(x − 5) = log2 11.
We know that loga (b) + log a(c) = log a( bc)
log2(x + 5) (x − 5) = log2(11)
Multiply
log2(x^2 -25) = log2(11)
Raise each side to the power of 2
2^log2(x^2 -25) = 2^log2(11)
x^2 - 25 = 11
Add 25
x^2 -25 +25 = 25+11
x^2 = 36
Taking the square root of each side
x = ±6
But x cannot be negative because then the log would be negative in log2(x-5) and that is not allowed
x = 6
Answer:
x = 6
Step-by-step explanation:
[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] 11
Determined the define range.
[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] (11), x ∈ ( 5, + ∞ )
We know that [tex] log_a ( b ) + log_a ( b ) [/tex] = [tex] log_a( bc) [/tex]
[tex] log_2[/tex] ( x + 5 ) ( x - 5 ) = [tex] log_2[/tex] ( 11).
[tex] log_2[/tex] ( ( x + 5 ) × ( x - 5 ) ) = [tex] log_2[/tex] ( 11).
Use indentity :- ( a + b ) ( a - b ) = a² - b².
[tex] log_2[/tex] ( x² + 25) = [tex] log_2[/tex] ( 11).
Since , the base of the logarithm are the same. set the arguments equal.
x² - 25 = 11.
Move constant to the right-hand side and change their sign.
x² = 11 + 25
x² = 36.
Take square root of each side.
√x² = √36
x = ± 6
x = 6
x = -6, x ∈ ( 5, + ∞ )
Check if the solutions is in determine range.
x = 6
A researcher decides to find out whether giving students positive
reinforcement improves or impairs their grades. The researcher's sample
group consists of the following 8 students:
0 Jack
1 Tucker
2 Susie
3 Jill
4 Charianna
5 Trey
6 Ashton
7 Jordan
52197 66082 97867 49397 47924 78900 59414 64755 48733
Which of the following represents a 5-person group selected for the
treatment group using the first number in the line from a table of random
numbers above?
A. Charianna, Tucker, Jack, nobody, Ashton
B. Tucker, Susie, Trey, Ashton, Jordan
C. Trey, Susie, Tucker, Jordan, Ashton
D. Charianna, Tucker, Jack, Ashton, Trey
Answer: C. Trey, Susie, Tucker, Jordan, Ashton
========================================================
Explanation:
The random sub-sequence 52197 66082 helps directly determine who we pick.
The digit 5 is first of that sequence, so we pick Trey first (as he's the 5th student). Then we pick student #2 next, who is Susie.
Up next is student #1, and that would be Tucker
Up next is student #9, but the list only goes high as 7. So we skip over 9
Jordan is next up since 7 is the next digit
Finally, the last selection is Ashton because 6 follows after.
--------------
In other words, the sequence 52197 6 will lead to these selections in the order provided.
5 = Trey2 = Susie1 = Tucker9 = skip, since it's not on the list7 = Jordan6 = AshtonSide note: if we wanted a 6th student, then we'd have to skip over the next 6 since we cannot pick Ashton twice. The 6th selection would be Jack since he's student #0
Which of the following is the equation of a line in a slope= 5 and y-intercept at (0,-3)?
Answer:y=5x-3
Step-by-step explanation:
Two exponential functions are shown in the table.
Which conclusion about f(x) and g(x) can be drawn from
the table?
X
Х
f(x)=2*
g(x) =
2
4
1
4
1
O The functions f(x) and g(x) are reflections over the x-
axis.
O The functions f(x) and g(x) are reflections over the y-
axis.
O The function f(x) is a decreasing function, and g(x) is
an increasing function.
The function f(x) has a greater initial value than g(x).
1
2
1
0
-1
1
2
A-NI-
-2
4
Save and Exit
Nex
Submit
Given:
The two exponential functions are shown in the given table.
To find:
The correct conclusion about the functions f(x) and g(x).
Solution:
The given functions are:
[tex]f(x)=2^x[/tex]
[tex]g(x)=\left(\dfrac{1}{2}\right)^x[/tex]
The function g(x) can be written as:
[tex]g(x)=\dfrac{1}{2^x}[/tex]
[tex]g(x)=2^{-x}[/tex]
[tex]g(x)=f(-x)[/tex]
It means the graphs of f(x) and g(x) are reflections over the y-axis. So, option B is correct.
Since [tex]g(x)\neq -f(x)[/tex], therefore the functions f(x) and g(x) are not the reflections over the x-axis. So, option A is incorrect.
The function f(x) is an increasing function because the base of the exponent is [tex]2>1[/tex]. The function g(x) is a decreasing function because the base of the exponent is [tex]\dfrac{1}{2}<1[/tex]. So, option C is incorrect.
At x=0 the value of f(x) is 1 and the value of g(x) is also 1. It means the functions has same initial values. So, option D is incorrect.
Therefore, the correct option is B.
We can conclude that g(x) is a reflection over the y-axis of f(x).
How to find the transformation that relates the two functions?
The two functions are:
f(x) = 2^xg(x) = (1/2)^xYou can see the graph of these functions at the end of the answer.
You can also notice that g(x) can be written as:
g(x) = (1/2)^x = 2^(-x) = f(-x)
Then this is a reflection over the y-axis, thing that you can also see in the graph below.
So the correct option is:
"The functions f(x) and g(x) are reflections over the y-axis."
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Which of the following is the best definition of the sample space of a
probability event?
A. The number of successful outcomes
B. The measure of how likely an event is to occur
O O O O
C. The set of all possible outcomes
D. The most likely outcome
Answer:
C:The set of all possible outcomes
Can help me with on this quick
Answer:
18
Step-by-step explanation:
Picture is right there pls help
Answer: B
Step-by-step explanation:
Using slope formula, change in y (3) over change in x (2) is 3/2. So the equation would be y=3/2x.
if 2^x > 4^ 15 and x is a positive integer, what is the least possible value of x?
Answer:
x = 31
Step-by-step explanation:
2^x > 4^ 15
Rewrite 4 as 2^2
2^x > 2^2^ 15
We know a^b^c = a^(b*c)
2^x > 2^ (2*15)
2^x > 2^30
Since the bases are the same, the exponents must follow the inequality
x> 30
simplify:-a). (-5a²)²(6ab²)(-3ab²)
Bernard wants to give a book and a CD to Rachel for Rachel's birthday. Bernard has 2 books and 3 CDs. Tell whether the situation involves combinations or permutations. Then give the number of possible outcomes.
Answer:
6, permutation
Step-by-step explanation:
Book 1, CD 1
Book 1, CD 2
Book 1, CD 3
Book 2, CD 1
Book 2, CD 2
Book 2, CD 3
There are 6 permutations.
Solve the formula for the specified variable.
W=X+Xyz for z
Answer:
z= (w-x)/ xy
Step-by-step explanation:
w= x+xyz solve for z
w= x+xyz, isolate the term that has z by subtracting x from both sides (because is the opposite of adding x to the term xyz we try to isolate)
w-x = xyz, divide both sides by xy assuming that xy≠0 (because is the opposite of multiplying z by xy to solve for z, and xy≠0 because we do not want to divide by 0)
(w-x)/xy = z
Instructions: Find the measure of the missing angle using the Exterior Angle Sum
Theorem
Answer:
It's an isosceles triangle equal 2 sides so
it will be x+67 ° +67 ° =180° ( sum of angle in triangle)
x+134 °=180 °
x =180 - 134
x = 46 °
The measurement of the missing angles in the given triangle is 67.
Use the concept of isosceles triangle defined as:
A triangle with two equal-length sides is said to be isosceles.
An isosceles triangle has equal angles on either side of its equal sides.
In the given figure,
One angle is 67 degrees
And two sides are equal.
Let the missing angle is x°
Since the two sides of this triangle are equal,
So this is an isosceles triangle.
Then two opposite angles must be equal.
For a triangle,
The sum of interior angles = 180°
Therefore,
67° + 67° + x° = 180°
x° = 46°
Hence,
The measurement of the missing angle is 46°
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Aa dealer bought a laptop for rs 45000 and sold it to retailer again sold it to a customer at 25% profit. how much did the customer pay for the laptop.
Answer:
Rs 56250
Step-by-step explanation:
Given:
Cost price of laptop (CP) = RS 45000
Profit (P) = 24 % = 0.24
The selling price of dealer (SP) = Cost price of customer,
So,
Selling price of dealer = [tex]\tt CP + Profit \:Percentage \:of \:C.P[/tex]
Selling price of dealer = CP(1+ Profit %)
Substituting value
Selling price of dealer = 45000(1+0.24)
Selling price of dealer = 45000*1.24
Selling price of dealer = 56250
Therefore, the Customer paid Rs 56250 for the laptop.
Answer:
Rs 56,250
Step-by-step explanation:
To calculate how much the customer paid for the laptop, we need to determine the total price after the retailer added a 25% profit margin.
If the dealer purchased the laptop for Rs 45,000, then Rs 45,000 is 100%. If the dealer sells it to a customer at 25% profit, it was sold at 125% of its purchase price.
Therefore, to calculate how much the customer paid for the laptop, we need to find 125% of Rs 45,000:
[tex]\begin{aligned}\sf 125\%\;of\;45000&=\sf\dfrac{125}{100} \times 45000\\\\&=\sf\dfrac{125\times 45000}{100} \\\\&=\sf\dfrac{5625000}{100} \\\\&=\sf56250\end{aligned}[/tex]
Therefore, the customer paid Rs 56,250 for the laptop.
In the data set below, what is the mean absolute deviation? 9,8,3,2,5 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD):
Answer:
3
Step-by-step explanation:
9,8,3,2,5
3
3/5=0.6
0.6
What is the difference of the polynomials?
Answer:
(B) mn+3
Rule of algebra: *INTEGERS*
like sign➡ add
unlike sign➡ subtract
Step-by-step explanation:
Because the m2n2 is got subtract by m and n that's why it bacames a constant mn.
Answer:
[tex](m^{2} n^{2} -7)-(mn+4)[/tex]
[tex]=m^{2} n^{2} -7-mn-4[/tex]
[tex]m^{2} n^{2} -mn-11[/tex]
Option C is your answer
----------------------------------
Hope it helps...
Have a great day!!
Which is a y-intercept of the continuous function in the table? х – 4 -3 -2 -1 0 1 f(x) -10 0 0 – 4 -6 0 2 O (0,6) O (-2, 0) O (6,0) 0 (0, -2)
Plz Hurry
Answer:
x:-4,-3,-2,-1,0,1
f(x):-10,0,0,-4,-6,0
from the table we can see when x=0, y=-6
Therefore the y-intercept will be (0,-6)
OAmalOHopeO
The y intercept of the continuous function in the table is given by the relation f ( 0 ) = -6
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the values of x be x = { -4 , -3 , -2 , -1 , 0 }
Let the values of y be y = { -10 , 0 , 0 , -4 , -6 }
Now , the y intercept of the function is when the value of x = 0
So , when x = 0 , the value of y = -6
And , f ( 0 ) = -6
Therefore , the y intercept is ( 0 , -6 )
Hence , the y intercept of the function is ( 0 , -6 )
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Find the BD in the image below
Answer:
x = 10
The both line crosses with a little hyphen, meaning those are same
Answered by GAUTHMATH
the shape of a quadratic equation is called a...?
Answer:
If you mean graphing its called a parabola
Step-by-step explanation:
The shape of a quadratic equation is called a Parabola.
The graph of a quadratic equation is a curve known as a parabola. The shape of a parabola can vary depending on the values of "a," "b," and "c" in the quadratic equation.
If "a" is positive, the parabola opens upwards, forming a U-shape.If "a" is negative, the parabola opens downwards, forming an inverted U-shape.The point where the parabola intersects the x-axis is called the vertex. The axis of symmetry is a vertical line passing through the vertex, dividing the parabola into two symmetrical halves.The x-intercepts are the points where the parabola intersects the x-axis. The y-intercept is the point where the parabola intersects the y-axis. It represents the value of the quadratic equation when "x" is equal to zero.Therefore, the shape is parabola.
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Which of the following is most likely the next step in the series?
| || H
Oat И
O B. #
och
#
D.
Answer:
D makes sense. I think the answer is D.
anyone help me please
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 - x = 25
Answer:
[tex]x1 = - 4.525[/tex]
[tex]x2 = 5.525[/tex]
Step-by-step explanation:
[tex]x1 = \frac{1 - \sqrt{101} }{2} [/tex]
[tex]x2 = \frac{1 + \sqrt{101} }{2} [/tex]
The Y-intercept (b0) represents the a. variation around the sample regression line. b. change in estimated Y per unit change in X. c. predicted value of Y when X = 0. d. predicted value of Y.
The predicted value of Y when X = 0. Therefore, option D is the correct answer.
What is Regression analysis?Regression analysis is one of the sophisticated statistical modeling techniques in which we try and establish a relationship between variables, the dependent or response variable, and one or more independent or explanatory variables.
The linear regression equation of a single variable can be written down as: Y=a+bX
According to the definition of the equation of regression analysis, the Y-intercept represents the predicted value of Y when X = 0.
The Y-intercept, as the name suggests, is the point when the regression line crosses the y axis. This happens only when the value of the x variable is zero:
Y-intercept = Y(0)=a+b(0)
Y-intercept=a
Therefore, option D is the correct answer.
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Answer the following
Help solve 4 and 5 please
Answer:
Step-by-step explanation:
4). a). If the diagonals of a parallelogram are congruent, then it must be a RECTANGLE.
b). If the diagonals of a parallelogram are perpendicular, then it must be a SQUARE.
c). If the diagonals of a parallelogram bisect the angles of the parallelogram, then it must be a RHOMBUS.
d). If the diagonals of a parallelogram are perpendicular and congruent, then it must be a SQUARE.
e). If a parallelogram has four congruent sides, then it must be a SQUARE.
5). Given quadrilateral SELF is a rhombus.
a). All sides of a rhombus are equal,
Therefore, ES = EL = 25
b). Diagonals of a rhombus bisects the opposite angles,
Therefore, m∠ELS = m∠FLS
3x - 2 = 2x + 7
3x - 2x = 7 + 2
x = 9
c). Diagonals of the rhombus bisect the opposite angles, and adjacent angles are supplementary.
m∠ELF = 2(m∠ELS) = 2(2y - 9)
m∠LES = 2(m∠LEF) = 2(3y + 9)
And 2(2y - 9) + 2(3y + 9) = 180
(2y - 9) + (3y + 9) = 90
5y = 90
y = 18
Which parent function is represented by the graph?
Can someone explain to me by steps on how to do this?
Answer:
h = 8 sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = 8 / h
h sin 45 = 8
h = 8 / sin 45
h = 8 / (1 sqrt(2)
h = 8 sqrt(2)
Answer:
right answer is option D
Step-by-step explanation:
tan 45 = BC/8. ; BC - Lower side
BC = 8
h = 8sq. + 8sq = √128 = 8√2
Find the value of x. Round the length to the nearest tenth.
Answer:
7.9ft
Step-by-step explanation:
Cos44 x 11
= 7.912737804
≈ 7.9 ft
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what is the measure of arc MP
Answer:
[tex]m\widehat{MP}=118^{\circ}[/tex]
Step-by-step explanation:
In any circle, the measure of an inscribed angle (an angle created when the intersection of two chords is on the circle) is equal to half of the arc it forms. In this case, [tex]\angle MPN[/tex] is an inscribed angle that forms [tex]\widehat{MN}[/tex]. Therefore, the measure of arc MN must be twice the measure of angle MPN:
[tex]m\widehat{MN}=2\cdot m\angle MPN,\\m\widehat{MN}=2\cdot 31^{\circ}=62^{\circ}[/tex]
Since we want to find the measure of arc MP, we need to know that there are 360 degrees in a circle. Since [tex]\overline{PN}[/tex] is a diameter of the circle (line that has two endpoints on the circle and that passes through the center of the circle), each side of [tex]\overline{PN}[/tex] must be 180 degrees.
Therefore, we have:
[tex]m\widehat{MN}+m\widehat{MP}=180^{\circ},\\62^{\circ}+m\widehat{MP}=180^{\circ},\\m\widehat{MP}=\boxed{118^{\circ}}[/tex]
12 5/6 - 3 5/12 - 1 1/2 =??
Answer:47/12
=3.9167
Step-by-step explanation:
Step-by-step explanation:
I hope this will help you
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