Answer:
\(? =-6\)
Step-by-step explanation:
Given
\(\frac{1}{x^?} = x^6\)
Required
Find ?
Apply law of indices
\(x^{-?} = x^6\)
Cancel x on both sides
\(-? = 6\)
Multiply both sides by -1
\(-1*-? = 6*-1\)
\(? =-6\)
In a random sample of 19 people, the mean commute time to work was 33.7 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a
1-distribution to construct a 80% confidence interval for the population mean μ. What is the margin of error of u? Interpret the results.
The confidence interval for the population mean u is D.
(Round to one decimal place as needed.)
The average confidence interval, according to our 80% level of confidence, falls between 31.54 and 35.86 minutes for the total population.
Why is there a 95% confidence interval?You only have a 5% probability of making a mistake with a 95% confidence interval. You have a 10% probability of being mistaken when the confidence interval is 90%. The difference between a 95 percent and 99 percent confidence interval is the width of the interval (for example, plus or minus 4.5 percent instead of 3.5 percent).
Why is a confidence interval important?Confidence intervals include details about the range in which the true value is likely to fall, as well as the kind and magnitude of the effect that has been proved. Conclusions concerning the can be made as a result of this.
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Find an equation for the line below.
Answer:
f(x) = -5/3x + 5/3
Step-by-step explanation:
if x = 4 ; f(x) = -5
if x = -2 ; f(x) = 5
f(x) = ax + b
-5 = 4a + b (1)
and
5 = -2a + b (2)
(1) + (2)
2a + 2b = 0
a = -b
(1) -5 = 4a - a
-5 = 3a
a = -5/3
Answer :
f(x) = -5/3x + 5/3
help me pls due in 5 mins
Answer: \(215\ cm^2\)
Step-by-step explanation:
Given
Here the given figure can be divided into two shapes i.e. rectangle and a trapezium
For rectangle ABCD Area = \(10\times8=80\ cm^2\)
Area of trapezium CEFD Area is \(\frac{1}{2}[\text{sum of non-parallel sides}]\times[\text{distance between them}]\)
\(\Rightarrow \frac{1}{2}\times [10+17][10]=135\ cm^2\)
Total shaded area \(=80+135=215\ cm^2\)
What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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PLEASE HELP ASAP IF U CAN.
The angle A is found in quadrant 3, such that = −
. Determine the exact value
of sec (Decimal answers using a calculator will not be accepted). [3]
10) All progression work must be shown for full marks. Any unclear or questionable steps
made will not be credited.
Prove the identity: !"#$
#%!$ − !"&$
&'($ = − ) ∙ )
Sec A is solved to be \(\frac{8}{\sqrt{55} }\)
Solving cosx / secx - cotx / tan x gives cos^2 x - cot^2 x
What is quadrant of a circle?This is division of circle into 4 parts. each part is termed a quadrant
How to solve for sec Asine θ = opposite / hypotenuse
In the third quadrant:
The opposite = -3
hypotenuse = 8
sec θ = 1 / cos θ
cosθ = adjacent / hypotenuse
From Pythagoras theorem
hypotenuse² = adjacent² + opposite²
adjacent = √64 - 9
= √55
cos θ = √55/8
sec ∅ = 1 / cos ∅ = 8/√55
How to solve cosx / secx - cotx / tan xfrom trigonometry we know that:
secx = 1 / cosx and cotx = 1 / tanx
plugging the trigonometry values to the given expression gives
cosx / secx - cotx / tan x = cosx / 1/cosx - 1/tanx / tanx
= cosx / 1/cosx - 1/tanx / tanx
= cosx * cosx - cotx * cotx
= cos^2 x - cot^2 x
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Two mechanics worked on a car. The first mechanic charged $75 per hour, and the second mechanic charged $45 per hour. The mechanics worked for a
combined total of 25 hours, and together they charged a total of $1425. How long did each mechanic work?
Answer:
First mechanic 10 hours, Second is 15 hours
Step-by-step explanation:
x + y = 25, so y = 25 - x
75x + 45y = 1425
Substitute in the first equation
75x + 45(25 - x) = 1425
75x + 1125 - 45x = 1425
30x = 300
x = 10
Therefore, y = 15
Answer:
they both worked
8 hours
If a+bi, where b is not equal to 0, is a complex zero of a polynomial with real coefficients, then so is its _____ , a-bi.
a.) linear factorization
b.) irreducible factor
c.) reducible factor
d.) complex factor
e.) fundamental theorem
f.) conjugate
Hello,
answer f: conjugate
if all coefficients are real and a+ib a zero, its conjgate a-ib is also a zero.
Find the 13th term of the geometric sequence 4, −8, 16, ...
Answer:
Step-by-step explanation:
Which expression is equivalent to
Answer:
The answer is the third option
Step-by-step explanation:
When an exponent is raised to the power of another exponent, both exponents are multiplied.
Recall that a number without an exponent is thought to be raised to the power of 1.
So after multiplying the exponents of all of the variables by 4, we are left with a solution identical to the third option.
what the answer for this area?
Answer:
the answer is 105
Step-by-step explanation:
because 5×3=15 so 15×7 =105
A construction worker earned $64 in a week. If he worked eight hours in one week, how much money did he earn per hour?
Answer:
X=8
Step-by-step explanation:
64 Divided by Eight equals Eight.
Because he worked eight hours that week and earned $64 so divide that up by eight then you got your answer.
lim (cosec 2x - xcosec³x)
x approaches 0
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
We have,
To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.
The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).
Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.
Substituting these into the expression,
We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).
Now, let's evaluate the limit term by term:
lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).
lim(x approaches 0) (x (1/(sin(x))³))
= 0 (1/(sin(0))³)
= 0 x 1/0 (which is also undefined).
Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.
Therefore,
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
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Use GeoGebra to move points A, B, and C to the locations shown by the ordered pairs in the table. Record the length of each side and the measure of each triangle for the resulting triangle. Note that the length of a line segment is denoted with two letters but no bar on top. For example, AB is read as “ the length of AB.”
Answer:
Location AB BC AC m∠ABC m∠BAC m∠ACB
A(3, 4), B(1, 1), C(5, 1) 3.61 units 4 units 3.61 units 56.31° 67.38° 56.31°
A(4, 5), B(2, 1), C(7, 3) 4.47 units 5.39 units 3.61 units 41.63° 82.87° 55.49°
A(3, 6), B(3, -2), C(-3, -2) 8 units 6 units 10 units 90° 36.87° 53.13°Step-by-step explanation:
According to the locations given in the table, diagrams have been attached using GeoGebra.
What is GeoGebra?
GeoGebra is a dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one engine.
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use the empirical rule. sketch the values and calculate the z scores. a) approximately what percentage of the observations fall between 32 and 48?
Approximately 95.45% of the observations fall between 32 and 48.
Using the Empirical Rule, we can calculate the Z scores for 32 and 48 to see what percentage of observations falls between these values.
First, calculate the Z score for 32:
Z = (32 - 40) / 4 = -2
Next, calculate the Z score for 48:
Z = (48 - 40) / 4 = 2
The Empirical Rule states that approximately 68% of the observations fall within 1 standard deviation of the mean, which is between 36 and 44 in this case. However, since the Z scores for 32 and 48 are both outside of this range, we need to calculate the percentage of observations that falls between these Z scores.
Using a standard normal distribution table, we can see that the percentage of observations between Z = -2 and Z = 2 is approximately 95.45%. This means that approximately 95.45% of the observations fall between 32 and 48.
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--The given question is incomplete; the complete question is
"Data are drawn from a normal distribution with a mean of 40. the standard deviation of 4. Use the Empirical Rule. SKETCH the values and calculate the Z scores. a) Approximately what percentage of the observations fall between 32 and 48?"--
On a coordinate plane, a curved line begins at point (negative 2, negative 3), crosses the y-axis at (0, negative .25), and the x-axis at (1, 0).
What is the domain of the function on the graph?
Answer:
Option D
Step-by-step explanation:
correct answer on edge :)
Answer:
D <3
Step-by-step explanation:
Find the measure of the third interior angle of a triangle, given the measure of two angles.
62 and 24 and ______
We know that the sum of the internal angles is equal to 180°, then we write and solve a linear equation to see that the missing angle is 94°.
How to find the measure of the third angle?Remember that for any triangle, we know that the sum of the interior angles is equal to 180°.
In this case we know that two of the angles have a measure of 62° and 24°, and if the third angle is x, then we can write the linear equation:
62° + 24° + x = 180°
To solve this we need to isolate x, we will get:
x = 180° - 24° - 62°
x = 94°
So the measure of the third interior angle is 94 degrees.
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find the coordinates of the points of intersection of the graph y=13-x with the axes. Find the area of the right triangle formed by this line and the coordinate axis
Answer:
Y(0,13)
X(13,0)
Find the average rate of change for the function f(x)=3x+17
Using the intervals of x=3 to x=6
Show ALL your work to receive credit
Answer: what unit is this?
Step-by-step explanation:yeah I’ll need the unit to solve this question
During halftime of a football game, a sling shot launches T-shirts at the crowd A T-shirt is launched from a height of 6 feet with an initial upward velocity of 72 feet per second Use the
equation h(t) = -16 +72t+6, where t is time in seconds and h(t) is height. How long will it take the T-shirt to reach its maximum height? What is the maximum height?
Answer:
Hope this helps ;)
Step-by-step explanation:
To find the time it takes the T-shirt to reach its maximum height, we need to find the value of t when the velocity of the T-shirt is zero, because at this point the T-shirt has reached its maximum height and starts falling back down. We can find the velocity of the T-shirt by taking the derivative of the height equation with respect to time:
v(t) = h'(t) = 72
The velocity of the T-shirt is a constant 72 feet per second, so it will never reach a velocity of zero and will never reach its maximum height. The T-shirt will keep going up indefinitely.
If the problem had specified that the T-shirt was launched with an initial upward velocity of -72 feet per second (meaning it was launched downward), then we could have found the time it takes the T-shirt to reach its maximum height by setting v(t) = 0 and solving for t. In this case, we would find that t = 1, so it would take the T-shirt 1 second to reach its maximum height. The maximum height would be h(1) = -16 + 72(1) + 6 = 62 feet.
identify the graph of 5x-2y≤6
First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.
For: x=0
(-5.0) +2y =-6
0+2y = -6
2y =-6
2y/2= -6/2
y =-3 or (0 , -3)
For: x=2
(-5.2+2y)=-6
-10+2y =-6
10+10+2y=10+ −6
0+2y=4
#2y = 4
2y/2=4/2
y=2 or (2,2)
We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.
graph{(x^2+(y+3)^2-0.125)((x-2)^2+(y-2)^2-0.125)(-5x+2y+6)=0 [-20, 20, -10, 10]}
Now, we can shade the left side of the line.
We need to change the boundary to a dashed line because the inequality operator does not contain an "or equal to" clause.
graph{(-5x+2y+6) > 0 [-20, 20, -10, 10]}
What is equality?Social equality is a state of affairs in which all individuals within a specific society have equal rights, liberties, and status, possibly including civil rights, freedom of expression, autonomy, and equal access to certain public goods and social services.Equality is about ensuring that every individual has an equal opportunity to make the most of their lives and talents.To learn more about inequality refer to:
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What are the coordinates of the image of (- 4, 5) under the translation (x,y) (x-3,y+5)
(-4-3) (5+5) = -7,10
11. A cylinder and a sphere both have the same radius, 4. The height of the cylinder isequal to the diameter of the sphere. Select the expression that describes thevolume of the cylinder that is not occupied by the sphere. (Use 3.14)A. 39.67B. 85.33T1 - 128TTC. 124.560D. 128TT – 85.33TT
Given that :
the radius of the cylinder and sphere = 4 units
the height of the cylinder (h) is equal to the diameter (d) of the sphere
the diameter of the sphere = 2 x radius = 2 x 4 = 8 units
also, the height of the cylinder = 8 units
The volume of the cylinder can be calculated using the formula:
\(\begin{gathered} V=\pi r^2h \\ V=\pi\times4^2\times8 \\ V=128\pi \end{gathered}\)The volume of the Cylinder
\(\begin{gathered} V=128\times3.14 \\ V=401.92uits^3 \end{gathered}\)Answer:
Given that :
the radius of the cylinder and sphere = 4 units
the height of the cylinder (h) is equal to the diameter (d) of the sphere
the diameter of the sphere = 2 x radius = 2 x 4 = 8 units
also, the height of the cylinder = 8 units
The volume of the cylinder can be calculated using the formula:
The volume of the Cylinder
Step-by-step explanation:
Kellen is having friends over for dinner and needs to buy chicken. He is looking for the best deal. There are three package options for the chicken.
3 lbs. for $15.39
2 lbs. for $9.19
1 lb. for $7.05
Answer:
But the 2lbs.
Step-by-step explanation:
Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.
You're welcome.
HELP ILL GIVE YOU BRAINLIEST IF YOUR RIGHT ‼️‼️‼️‼️
Answer:
first question: 36
second question: 5
Step-by-step explanation:
for the first question, the parentheses just mean you are multiplying. so it would be 2 x 3 x 6 which equals 36.
For the second question, you would add d and g together and e and f, then subtract the sum of e and f from the sum of d and g.
(2 + 12) - (3 + 6)
14 - 9 = 5
Step-by-step explanation:
d=2
e=3
f=6
g=12
therefore , (2)×(3)×(6)
=36
2. d=2
e=3
f=6
g=12
(d+g) - (e+f)
(2+12) - (3+6)
(14) -(9)
=5.
The map of a town is placed on a coordinate grid. Use the map to find
the distance between the post office and the lake.
Eight less than the product of 5 and a number is 3. Use the variable b for the unknown number.
Answer:
2.2
Explanation:
5b - 8 = 3
5b = 3 + 8
5b = 11
b = 11/5
b = 2.2
Answer:
b=2.2 ✨
Explanation:
5b - 8 = 3
5b = 3 + 8
5b = 11
b = \(\frac{11}{5}\)
b = 2.2
Have a great time studying
What is the probability that the first spinner will land on B, the second spinner will land on 3, and the third spinner will land on Green?
1/24
1/12
1/8
1/4
P=x-2 ÷ x+1 for what value of x is P undefined
Answer:
x = - 1
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
x + 1 = 0 ( subtract 1 from both sides )
x = - 1
P is undefined when x = - 1
Which of the following is an advantage of using systematic random sampling?
Systematic random sampling reduces sampling variability.
Systematic random sampling does not require a finite population size.
Systematic random sampling could inadvertently miss patterns in the population.
Systematic random sampling uses clusters, which are close in proximity, making data collection easier.
This is a question that asks about the advantages of a systematic random sampling. Thus, we first take a look at the types of sampling, and then we see the advantage of systematic random sampling.
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
Systematic:
One of the bigger advantages is that the systematic sampling eliminate clusters, which means that the last option is wrong.
Inadvertently missing patterns is a problem in systematic sampling, and not an advantage, thus the third option is also wrong.
It also does not reduce sampling variability, thus the first option is wrong.
From this, it can be concluded that the correct option is:
Systematic random sampling does not require a finite population size.
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Research and find out the 10 countries where the population. is growing fastest and the 10 countries where it is the slowest growing. Explain how this information is related to the concept of percentage increase and decrease. You can either present this on a chart or have someone film you are explaining it.