Answers
Answer:
3. Definition of Midpoint
4. VAT, Vertical Angles Theorem
5. ASA, Angle-Side-Angle Theorem
Related Questions
Which of the following best defines the two quantities that are measured to find the call rate of a phone company? Group of answer choices The quantity of price measured in dollars depends on the quantity of time measured in minutes. The quantity of time measured in minutes depends on the quantity of price measured in dollars. The quantity of time measured in minutes depends on the quantity of speed measured in calls per minute. The quantity of speed measured in calls per minute depends on the quantity of time measured in minutes.
Answers
Answer:
B
Step-by-step explanation:
If the domain of the square root function f(x) is , which statement must be true?7 is subtracted from the x-term inside the radical.The radical is multiplied by a negative number.7 is added to the radical term.The x-term inside the radical has a negative coefficient.
Answers
The question was incomplete. Below you will find the missing content.
The square root function f(x) is x <= 7
Options are :
A. 7 is subtracted from the x-term inside the radical.
B. The radical is multiplied by a negative number.
C. 7 is added to the radical term.
D. The x-term inside the radical has a negative coefficient.
Option D is correct, which is : The x-term inside the radical has a negative coefficient.
Given, the domain of the square root function f(x) is x <= 7
Consider the function y = √x.
The domain of this function is x ≥ 0 and the range is y ≥ 0.
The expression inside the radical must be greater than or equal to zero.
Now, if x ≤ 7
x - 7 ≤ 0
7 - x ≥ 0
And the function y = √(7-x) will have the domain x ≤ 7.
This implies that the x-term inside the radical has a negative coefficient.
Therefore, the statement that the x-term inside the radical has a negative coefficient must be true.
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The graph of y = f(x) is shown below. Find the value of ƒ (-2).
Answers
Answer: f(-2) = 8
Step-by-step explanation: On the graph there’s a point (-2,8), so f(-2), which just means -2’s y value on the graph, is 8.
If all angles on two triangles are congruent then can we prove their congruency through ASA? If so what’s the proofs I use
Answers
ASA (Angle-Side-Angle) Congruency Criterion requires 2 Angles and one included Side to be Equal. If we have 3 angles equal we cannot prove 2 Triangles Congruent by ASA. However, we can prove that they are Similar using AAA (Angle-Angle-Angle) Similarity Criterion.
Pam’s eye-level height is 324 ft above sea level, and adam’s eye-level height is 400 ft above sea level. how much farther can adam see to the horizon? use the formula d = startroot startfraction 3 h over 2 endfraction endroot, with d being the distance they can see in miles and h being their eye-level height in feet.
Answers
Adam can see the horizon at a distance of [tex]\sqrt{6}mi.[/tex]
Given that the height of Pam's eye level above sea level is [tex]324ft[/tex] and the height of adam's eye level above sea level is [tex]400ft[/tex].
The formula used to find the distance they see in miles is [tex]d=\sqrt{\frac{3h}{2}}[/tex].
Let the height of Pam's is [tex]h[/tex] and the height of adam's is [tex]h'[/tex].
The distance of Pam from the horizon can be given as [tex]d=\sqrt{\frac{3h}{2}}[/tex].
Substitute these values,
[tex]\begin{aligned}d&=\sqrt{3\times \frac{324}{2}}\\ d&=\sqrt{486}\\ d&=\sqrt{81\times 6}\\ d&=9\sqrt{6}\end[/tex]
And the distance of adam from the horizon can be given as [tex]d=\sqrt{\frac{3h'}{2}}[/tex].
Substitute these values,
[tex]d'=\sqrt{3\times \frac{400}{2}}\\ d'=\sqrt{600}\\ d'=\sqrt{100\times 6}\\ d'&=10\sqrt{6}[/tex]
The net distance of adam from the horizon is
[tex]\begin{aligned}d_{\text{net distance}}&=d'-d\\ &=10\sqrt{6}-9\sqrt{6}\\&=\sqrt{6}\end[/tex]
Hence, the adam can see the horizon at a distance of [tex]\sqrt{6}mi[/tex].
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Answer:
B
Step-by-step explanation:
it said sooo
What is the slope in f(x)=6x+7
Answers
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{Slope = 6}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{f(x) = 6x + 7}[/tex]
Find: [tex]\textsf{The slope of the equation}[/tex]
Solution: Looking at the equation it is in standard form which is y = mx + b where m is the slope and b is the y-intercept. Looking at our expression we can see that m is equal to 6 which is our slope.
Therefore, the slope of our expression is equal to 6.
Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.
Answers
option (B) is correct the graph second represents the line that is perpendicular to the line y = 4x - 2
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line M = 4
The slope of the line which is perpendicular to the above line:
m = -1/4 = -0.25
The graph second has a slope of -0.25
[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]
y - 2 = -0.25x - 1
y = -0.25x + 1
m = -0.25
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
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Answer: C
Step-by-step explanation:
Question Progress
1/3 Marks
a)
By rounding to 1 significant figure, estimate the answers to these questions:
b)
247 × 201
756 x 8674
Homework Progress
c) 3025 × 2007
22/32 Marks
Answers
Part (a)
[tex]247 \approx 200\\\\201 \approx 200\\\\\implies 247 \times 201 \approx 200 \times 200=\boxed{40000}[/tex]
Part (b)
[tex]756 \approx 800\\\\8674 \approx 9000\\\\\implies 756 \times 8674 \approx 800 \times 9000 =\boxed{7200000}[/tex]
Part (c)
[tex]3025 \approx 3000\\\\2007 \approx 2000\\\\\implies 3025 \times 2007 \approx 3000 \times 2000=\boxed{6000000}[/tex]
Explain how the shapes shown have been sorted.
Two groups of shapes. In group A, one shape has four equal side lengths of three, and no right angles. The opposite sides are parallel. Two shapes have two pairs of opposite equal side lengths. One shape has side lengths of four and eight. The other side lengths are three and two. Opposite sides are parallel, and there are no right angles. In group B there are three four sided shapes. One has opposite equal side lengths of seven and four and four right angles. One shape has four equal side lengths of three and four right angles. One shape has one set of opposite parallel sides and one right angle. None of the side lengths in the last shape are equal.
Answers
Answer:
There are different kinds of shapes. The shapes have been sorted below:
The shape that has one shape has four equal side lengths of three, and no right angles is rhombus.The opposite sides are parallel is parallelogram .Two shapes have two pairs of opposite equal side lengths is a parallelogram.A shape that has side lengths of four and eight is quadrilateral and octagon.Opposite sides are parallel, and there are no right angles is a parallelogramHeptagon has opposite equal side lengths of sevenQuadrilaterals and triangle shape has shape has four equal side lengths of three and four right angles.Trapezoids has one set of opposite parallel sides and the shape that has one right angle is right-angled triangles.None of the side lengths in the last shape are equal is scalene triangle.What do you understand by the term shapes?The term shape is a word that connote the form or dimensions of an object and also their outline.
It is made up of outer boundary and also outer surface. Most of everything in the world today do have shape.
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It’s 12 points thank you
Answers
The value of y when x is equal to zero will be 330.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given function is;
y = 330 + 25x
We have to find the value of y when x is equal to zero.
So,
Put x = 0
y = 330 + 25x
y = 330 + 25(0)
y = 330
Hence, the value of y when x is equal to zero will be 330.
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how much will you save if you buy an item listed at 17.50 at a 35 percent discount? savings = price x discount percentage
Answers
Answer:
17.50 × 0.35 = 6.13
Step-by-step explanation:
Answer:
That would be $11.37
Step-by-step explanation:
First Multiply the discount and the original price
17.50(0.35)= 6.125 = 6.13
Use that answer and subtract it from the original price
17.50 - 6.13 = 11.37
need help asap! Fill in the blank by entering just a number…
Answers
Answer:
i think it is 102
Step-by-step explanation:
first u solve the equation to find
then substitute and solve for at a tb
next just add them to find
Which statements accurately describe the function f(x) = 3(16) superscript three-fourths x? select three options.
Answers
Range for the given Exponential function [tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex] is f(x) > 0.
the correction option is a). f(x) > 0
The function given in, the question is exponential function is given by
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex] Which is an exponential function. The domain of the give function is (-∞, ∞).
The function which is in format f(x) = [tex]a^{x}[/tex] where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
the Question seems to be incomplete. And options could be
a) f(x) > 0 c) f(x) ≤ 0
b) f(x) < 0 d) f(x) ≥ 0
Simplification of the given equation
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]
[tex]f(x) = 3(2^4)^{{\frac{3}{4}x}[/tex]
[tex]f(x) = 3(8)^{x}[/tex]
clearly, the range of the exponential function is f(x) > 0.
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The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?
Answers
You need to use y=mx+c to answer this so basically
gradient/slope (m) is 1.5 and the y-intercept (c) is -2
Hope this helps :)
[tex]\triangleright[/tex]Hii! [tex]\triangleleft[/tex]
-- - -- - -- - -- - -- - - - -- - -- - -- - -- - -- - -- - -- -- -- - -- -- - -- -- -- -- --- -- -- --- - -- -- --
[tex]\triangleright[/tex] [tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex] [tex]\triangleleft[/tex]
Slope = 1.5 ✅Y intercept = -2 ✅[tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]
[tex]\bullet[/tex] Let's start by examining the equation we are working with more closely
-- ↩
This particular equation is provided to us in "slope intercept form".
--
The slope intercept formula is "[tex]\boldsymbol{y=mx+c}[/tex]"
--
In this formula the letter "m" denotes the slope; the letter "c" denotes the y intercept.
(Remember, variables (letters) represent numbers! ^__^)
--
[tex]\bullet[/tex] Above is all the information we need to come up with a solution to the given problem! ^^
--
Now it's time we considered this.
"What is the slope & y intercept of the equation y=1.5x-2?"
--
If in the formula y=mx+c, the slope is m, then what is the slope in the equation y=1.5x-2?
The slope is [tex]\large\boxed{\mid \boldsymbol{1.5} \mid}}[/tex].
The y intercept is [tex]\large\boxed{\mid \boldsymbol{-2} \mid}}[/tex]
[tex]\Large\text{Great job!! c:}[/tex]
--
Hope that this helped! Best wishes!
[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]
--
[tex]\underline{\underline{\underline{\overbrace{\boldsymbol{Learn\;More!!}}}}}[/tex]
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Pls anyone answer
15 - 8 + - 9
Answers
Answer:
-2
Step-by-step explanation:
15-8+-9
bodmas
15-8=7
7-9
=-2
Detailed Solution:
= 15 - 8 + -9
= 15 - 8 - 9
= 7 - 9
=> -2
12% profit on a computer is Rs.540.
(i) Find the cost price of the computer.
(ii) Find the sale price of the computer.
Answers
Answer:
the cost price is Rs. 4500 and the sale price is Rs. 5040.
Step-by-step explanation:
Let the cost price of the compute be Rs. x.
The profit earned is, Rs. 540.
The profit percentage is, 12%.
The formula to compute profit is:
Profit = SP - CP
\begin{gathered}540=x[1+\frac{12}{100}]-x\\540=1.12x-x\\540=0.12x\\x=\frac{540}{0.12}\\x=4500\end{gathered}540=x[1+10012]−x540=1.12x−x540=0.12xx=0.12540x=4500
Compute the selling price as follows:
SP = CP + profit
= 4500 + 540
= 5040
Thus, the cost price is Rs. 4500 and the sale price is Rs. 5040.
What are the solutions to the quadratic equation below in factored form?
(2x - 1)(3x + 4) = 0
0x=
0x =
O
X =
2
16
-
x =
x =
29
3|4
x = = 1/1, X =
2
4/3
x = − 1/1
1
حرا من
Answers
Answer:
[tex]\cfrac{-4}{3} [/tex] and [tex]\cfrac{1}{2} [/tex].
Step-by-step explanation:
Equation:
[tex] \rm \: \: (2x - 1)(3x + 4) = 0[/tex]
Solution:
Set factors equal to zero,that is:
[tex](2x - 1) = 0 \: \: \: \: \: \: \: \: \: \: \: ...(1)[/tex]
[tex](3x + 4) = 0 \: \: \: \: \: \: \: \: \: \: \: \: ...(2)[/tex]
Solving for equation 1:
[tex]2x - 1 = 0[/tex][tex]2x = 0 + 1[/tex][tex]2x = 1[/tex][tex] \boxed{x = \cfrac{ 1}{2} }[/tex]Solving for equation 2:
[tex]3x + 4 = 0[/tex][tex]3x = 0 - 4[/tex][tex]3x = - 4[/tex][tex]\boxed{x = \cfrac{ - 4}{3} }[/tex]Hence,the solutions to the quadratic equation in factored form is [tex]\cfrac{-4}{3} [/tex] and [tex]\cfrac{1}{2} [/tex].
[tex]\rule{225pt}{2pt}[/tex]
Good luck on your assignment!
x=1/2 and x=-4/3 are the solutions of the equation (2x - 1)(3x + 4) = 0
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given equation is (2x - 1)(3x + 4) = 0
We have to find the solutions of the equation
As the equation is in factored form
We take each factor and solve for solution
2x-1=0
2x=1
Divide both sides by 2
x=1/2
Now 3x+4=0
3x=-4
Divide both sides by 3
x=-4/3
Hence, x=1/2 and x=-4/3 are the solutions of the equation (2x - 1)(3x + 4) = 0
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r,u,t,s are positive
RXS=15
SXT=3
TXV=7
RXV=??
Answers
The value of RXV = 35.
What are system of equation ?A set of equation which have common factor that satisfies them are called system of equations.
It is given that
RXS=15
SXT=3
TXV=7
RXV=??
RX = 15/S
S = 3/XT
XT = 7/V
On solving we get
RX = 15 * XT/3
RX =15 *7/3 V
RXV = 35
Therefore the value of RXV = 35.
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Help Me I'm So Confused I'm In 5th Grade
By the way, I'm not in high school
Answers
Answer:
The answer is the second choice: 2, 3, 6, 13, 16.
Step-by-step explanation:
Which set of numbers that has an average of 8. To find the mean, which is the same as average, we have to add the number and divide by how many numbers there are. Let's check the first set of numbers:
3+5+7+8+12=35. 35/5=7. So, we can cross out the first choice.
Let's check the second one:
2+3+6+13+16=40. 40/5=8.
The answer is the second choice: 2, 3, 6, 13, 16.
Hope this helps!
If not, I am sorry.
Answer:
Its B
Step-by-step explanation:
If you add up all the numbers and divide by the number of numbers their is your answer
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 40 km south and 113 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
Answers
5.12 minutes ≈ 5 minutes 7.2 seconds
What is Distance?Distance. The length along a line or line segment between two points on the line or line segment.
Here, The flight path of the airplane is along the line ...
y = -125/135x = -25/27x
The perpendicular line through Mt. Rainier's location is ...
y = 27/25(x -56) -40
In standard form, these two equations are ...
25x +27y = 0
27x -25y = 2512
The point of closest approach has the coordinates that are the solution to these two equations:
(x, y) = (33912/677, 31400/677)
The distance d from the origin to this point is given by the Pythagorean theorem (distance formula) as ...
d = 1256√(2/677) . . . . . km
This distance can be converted to time using the speed of the airplane:
1256√(2/677) X 60/800 = 94.2√(2/677) ≈ 5.120019 mins
Thus, 5.12 minutes after departing JBLM you will be closest to Mt. Rainier.
The attached graph shows the geometry of the problem.
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PLEASEEE HELPPPP IM BEGGIN U
[tex]Y=x^4-x^3-28x^2-20x+48[/tex]
a. How many possible negative real zeros, positive real zeros, and non-real zeros does this equation have? Explain how you determined this.
b. Graph the equation in your calculator or in a graphing app. What is the general shape of the graph and how does the graph’s shape relate to the function? What are the zeros of the graph?
c. Create a table* of synthetic substitution for various values of x.
d. Using synthetic division, show* the way to divide this equation by one of its factors.
I already finished A and B but I am stuck on the synthetic division part of the question. Thanks!
Answers
Answer:
a) positive real zeros: 2 or 0; negative real zeros: 2 or 0; complex zeros: 0, 2, or 4. (rule of signs)
b) ∪-shaped, as for an even-degree polynomial with positive leading coefficient. See attached.
c, d) See attached
Step-by-step explanation:
Descarte's rule of signs gives bounds on the number of positive and negative real roots. The numbers it gives may be reduced by multiples of 2, as complex roots will come in conjugate pairs. The total number of roots of all kinds will match the degree of the polynomial.
Synthetic division is essentially polynomial long division with some modifications:
the variables are omitted ("place value" is used instead)the constant in the divisor is negated so its product with the partial quotient can be added to obtain the new dividendthe divisor binomial is assumed to have a leading coefficient of 1.__
a)The signs of the terms of the given polynomial are + - - - +. There are two sign changes, so 2 possible positive real roots.
When the signs of the odd-degree terms are changed, the signs become + + - + +. There are still two sign changes, so 2 possible negative real roots.
Either or both of these numbers can be reduced by 2 if the roots include a conjugate pair. That is, there may also be 0 possible positive real roots, and 0 possible negative real roots.
The number of non-real (complex) zeros may be any multiple of 2 up to the degree of the polynomial. The may be 0, 2, or 4 possible non-real zeros.
__
b)The graph is the first attachment. It shows 4 real zeros: x = -4, -2, 1, 6.
Since the polynomial is of even degree (4) and has a positive leading coefficient (+1), we expect the general shape to be ∪-shaped. It is.
__
c)The second attachment shows synthetic division using x = -4. (The binomial divisor is (x+4).) The remainder (lower right value in the tableau) is the value of y when x=-4. The third attachment shows synthetic division using the value x=3. (y is -210 when x=3.)
Maybe this is the table you want:
[tex]\begin{array}{|c|c|c|}\cline{1-3}x&-4&3\\\cline{1-3}y&0&-210\\\cline{1-3}\end{array}[/tex]
__
d)The second attachment shows synthetic division by the factor (x+4).
_____
Additional comment
The synthetic division attachments show instructions for carrying out the synthetic division and interpreting the results. As we said above, "the entry on the left" is the opposite of the constant in the binomial divisor. It is the actual value of x you want to use to evaluate the function.
The equations shown are merely for the purpose of indicating the operations that are used. An actual synthetic division tableau is simply a 3-row table of numbers, with the bottom row being the quotient coefficients and remainder.
Find the y-intercept and the slope of the line.
6x-2y=5
Answers
Answer:
m=3
b=(0,5)
Step-by-step explanation:
Solve for y, Look at the picture to help.
Answers
Using two triangle concepts, it is found that the solution for y is of y = 70º.
What are the two triangle concepts used in this problem?The sum of the internal angles of a triangle is of 180º.The sum of an angle with it's external angle is also of 180º.Hence:
x + y + 70 = 180.y + 3x - 10 = 180 -> y = 190 - 3x.Then:
x + y + 70 = 180
x + 190 - 3x + 70 = 180.
2x = 80.
x = 40.
Hence:
y = 190 - 3x = 190 - 3(40) = 70º.
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Solve x - 6 = 8.
O A. x = 14 and x = -2
B. x=-14 and x = 2
OC. x 14 and x = -14
-
OD. x = -14 and x = −2
Answers
Step-by-step explanation:
please mark me as brainlest
Use the law of cosines round to the nearest tenths
Answers
Answer:
x = 11.5
Step-by-step explanation:
Formula
a^2 = b^2 + c^2 - 2*b*c * cos(A) Substitute givens in formula
Givens
b = 31c = 26A = 21oa = x Let a = x to present the formula in it's most normal waySolution
a^2 = 31^2 + 26^2 - 2 * 31 * 26 * cos(21) Find -2*31*26*cos(21)
a^2 = 961 + 676 -1504.93 Combine
a^2 = 1637 -1504.93 Combine again
a^2 = 132.07 Take the √ on both sides
√a^2 = √132.07
a = 11.5 Rounded.
Answer
x = 11.5
The branches of a tree diagram are weighted probabilities.
True
Or
False
Answers
Answer:
The correct answer is True
Answer:
True
Step-by-step explanation:
Each branch of a tree diagram is the likelihood of that outcome happening. You multiply as you go along the branch.
Which is equivalent to 80^1/4x
Answers
Answer:
x=20
Step-by-step explanation:
80^1/4x
or,80/4=x
or,20=x
•°•x=20
ans
An automobile company is running a new television commercial in five cities with approximately the same population. the following table shows the number of times
the commercial is run on tv in each city and the number of car sales in hundreds). find the linear regression line for the data given in the table. round any intermediate
calculations to no less than six decimal places, and round the coefficients to two decimal places.
number of tv commercials, x
car sales, y (in hundreds)
13 6 12 14 17
3 28 97
Answers
The linear regression equation is y = 0.50x - 0.36
How to determine the linear regression equation?The proper format of the table of values is:
Number of tv commercials, x: 13 6 12 14 17
Car sales, y (in hundreds): 3 2 8 9 7
Next, we determine the linear regression equation using a graphing calculator.
From the graphing calculator, we have the following summary:
Sum of X = 62Sum of Y = 29Mean X = 12.4Mean Y = 5.8Sum of squares (SSX) = 65.2Sum of products (SP) = 32.4The regression equation is the calculated as:
y = bx + a
Where
b = SP/SSX = 32.4/65.2 = 0.49693
a = MY - bMX = 5.8 - (0.5*12.4) = -0.36196
Substitute these values in y = bx + a
y = 0.49693x - 0.36196
Approximate
y = 0.50x - 0.36
Hence, the linear regression equation is y = 0.50x - 0.36
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HELP! WILL GIVE BRAINLIEST AND 100 POINTS!
A study showed that low-intensity vibration therapy reduces pain levels in patients with fibromyalgia. During each session in the study, vibration pads were placed on the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.
Another study is being designed to examine whether low-intensity vibration therapy also reduces pain in patients suffering from ruptured disks in the lumbar region of the back. Three hundred male patients are subjects in the new study.
Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (4 points)
Part B: If the study consisted of 150 male and 150 female patients instead of 300 male patients, would you change the study design? If so, how would you modify your design ? If not, why not? (4 points)
Part C: Could your design be double-blind? Explain. (2 points)
Answers
Answer:
Part A: The appropriate design for the study includes;
Treatment used; Chamomile oil treatment
Method of treatment; Application of the chamomile oil to the cervical region of patients experiencing pain due to pinched nerves
Treatment assignment; Treatment should be assigned to patients with pinched nerves
Variables that should be measured; Reduction or relief of pain as reported by the patients
Part B; The study should be administered equally to both male and female as the symptoms can be experienced by both male and female
Part C; The design could be double blind by replacing the chamomile administered by placebo, thereby preventing bias from both researcher and participants in the results of the research.
Step-by-step explanation:
(-2/3)^3 (Evaluate)
A: 8/9
B: 6/9
C: -8/27
D: 8/27
Answers
Answer:
C
Step-by-step explanation:
using the rule of exponents
[tex](\frac{a}{b}) ^{m}[/tex] = [tex]\frac{a^{m} }{b^{m} }[/tex] , then
[tex](\frac{-2}{3}) ^{3}[/tex]
= [tex]\frac{(-2)^{3} }{3^3}[/tex]
= [tex]\frac{-8}{27}[/tex]
= - [tex]\frac{8}{27}[/tex]
Definition:
[tex]a^2=a\cdot a\\\\a^3=a\cdot a\cdot a\\\\a^4=a\cdot a\cdot a\cdot a\\\vdots\\a^n=\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}[/tex]
also
[tex]a^1=a\\\\a^0=1[/tex]
We have
[tex]\left(-\dfrac{2}{3}\right)^3=\left(-\dfrac{2}{3}\right)\cdot\left(-\dfrac{2}{3}\right)\cdot\left(-\dfrac{2}{3}\right)=-\dfrac{2\cdot2\cdot2}{3\cdot3\cdot3}=-\dfrac{8}{27}[/tex]
[tex]\huge\boxed{C:\ -\dfrac{8}{27}}[/tex]
