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Answer:
d) Listen to his suggestions to see what might work
Step-by-step explanation:
A supervisor or team leader cannot be expected to know everything, or be completely up-to-date with the latest innovations. A lot of what comprises "best practice" is developed on the job, or propagated by personnel transfers or word of mouth. A different point of view can often be beneficial, planting the seed for a beneficial change, even if the specific suggestion is not workable.
Ursula should pay attention to all of her team members, Tom included.
ABC is reflected over the y-axis
Answer:
A'(-1, 5), B'(-2, 3), and C'(-5, 4)
Step-by-step explanation:
Given the coordinate (x, y), if reflected over the y-axis, the resulting coordinate will be (-x, y):
Given the coordinates of the triangle expressed as:
A(1. 5), B(2, 3), and C(5, 4)
When these coordinates are reflected over the y-axis, the results will be:
A'(-1, 5), B'(-2, 3), and C'(-5, 4)
Note that the x coordinates were negated while the y-coordinates remains unchanged
A drink bottler needs to fill 16 one-pint bottles and he has two tanks: one that contains 2 gallons of soda and a second that contains 3 gallons which will he need to fill the bottles?
Answer:
2 Gallons of Soda
Step-by-step explanation:
that is the answer above
Let $f(x) = x^2 - 2x$. Find all real numbers $x$ such that $f(x) = f(f(x))$. List your solutions separated by commas in any order
==========================================================
Explanation:
The given function is f(x) = x^2 - 2x
Let's apply function composition like so
[tex]f(x) = x^2 - 2x\\\\f(f(x)) = (f(x))^2 - 2(f(x))\\\\f(f(x)) = (x^2-2x)^2 - 2(x^2-2x)\\\\[/tex]
In the second step, I replaced every x with f(x). Then in the third step, I replaced f(x) with x^2-2x on the right side.
Setting this equal to f(x) gets us
[tex]f(f(x)) = f(x)\\\\(x^2-2x)^2 - 2(x^2-2x) = x^2-2x\\\\[/tex]
which is a bit cluttered. However, we have "x^2-2x" show up three times. Let's say w = x^2-2x
If we replaced all those "x^2-2x" expressions with w, then we get,
[tex](x^2-2x)^2 - 2(x^2-2x) = x^2-2x\\\\w^2 - 2w = w\\\\[/tex]
Which looks more manageable
-----------------------------------------------
Let's solve for w
w^2 - 2w = w
w^2 - 2w-w = 0
w^2 - 3w = 0
w(w - 3) = 0
w = 0 or w-3 = 0
w = 0 or w = 3
----------------------------------------------
If w = 0, then,
w = x^2 - 2x
x^2 - 2x = w
x^2 - 2x = 0
x(x - 2) = 0
x = 0 or x-2 = 0
x = 0 or x = 2 are two solutions (out of four total)
-------------------------------------------------
Or, if w = 3, then,
w = x^2 - 2x
x^2 - 2x = w
x^2 - 2x = 3
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 0
x-3 = 0 or x+1 = 0
x = 3 or x = -1 are the other two solutions
-----------------------------------------------
To summarize, the four solutions are: x = -1, x = 0, x = 2, x = 3
find the lcm of 2.5, 1.0 and 70
Answer:
Step-by-step explanation:
2.5 = 5 * .5
1 = 1
70 = 2 * 5 * 7
LCM = 2 * 5 * 7
If you include the 1/2, you will reduce the LCM to 35, but 70 will be left out of the LCM.
Which expression is equivalent to 27 + 45?
Answer:
8 x 9
Have a nice day!
a. A simple random sample of size 80 has a mean of 7.31. The population standard deviation is 6.26. Construct a 99% confidence interval for the population mean
Answer:
5.503484≤x≤9.116516
Step-by-step explanation:
The formula for calculating the CI is expressed as;
CI = x±z*s/√n
x is the mean= 7.31
z is the 99% z-score = 2.58
s is the standard deviation = 6.26
n is the sample size = 80
Substitute into the formula
CI = 7.31± 2.58*6.26/√80
CI = 7.31± 2.58*6.26/8.94
CI = 7.31± (2.58*0.7002)
CI = 7.31±1.806516
CI = (7.31-1.806516, 7.31+1.806516)
CI = (5.503484, 9.116516)
Hence the 99% confidence interval for the population mean is
5.503484≤x≤9.116516
what sum of money must be invested the interest of 4% to given on interest Rs900 in 5 yearr
Answer:
5
Step-by-step explanation:
trust
A mountain path is 12.1 miles long. If a hiker walks along the path at a rate of 1.96 miles per hour, in approximate how many hours will the hiker walks the entire trail ?
Answer:
6.2 hours
Step-by-step explanation:
d=rt where d is distance, r = rate and t - time
12.1 = 1.96t
Divide each side by 1.96
12.1/1.96 = 1.96t/1.96
6.17346 = t
Answer: 6.2 hours
Step-by-step explanation: I divided 12.1 by 1.96
Find the slope, if it exists, of the line containing the points (10,-3) and (10,-8).
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
m=
Answer:
The slope is undefined.
Step-by-step explanation:
The line must pass through the points (10,-3) and (10,-8), meaning that it must be vertical. The slope of a line is undefined if the line is vertical.
Write the following as an inequality.
x is greater than – 3 and less than or equal to 4
Use x only once in your inequality.
Answer:
-3<x≤4
Step-by-step explanation:
Answer:
4 [tex]\geq[/tex] x > -3
Step-by-step explanation:
I just put the written form into inequality form.
A student is chosen at random from a large statistics class and asked how much time (in whole hours) she spent studying during the past 24 hours. Describe the sample space S of possible outcomes:
Answer:
24
Step-by-step explanation:
The sample space is the total possible values of an experiment or research. Since the total number of hours is 24, then the total possible number (or the limit she can use have) is 24. This she cannot exceed this 24 hour limit. Then we call this the total possible outcome and thus the sample space.
The table below represents average food costs broken down by meal. If you
were planning a trip, how much should you budget for food costs per day?
Breakfast
Lunch
Dinner
$12.98
$18.95
$26.58
A. $20.00
B. $60.00
C. $80.00
D. $45.00
By taking the addition of the values in the table and overestimating a little bit, the correct option is B: $60.00
How much should you budget for food costs per day?Here we have the following table of average costs:
Breakfast $12.98Lunch $18.95Dinner $26.58Assuming you eat these 3 per day, the total cost in food per day is the sum of all the values in the table.
It gives:
Total cost: $12.98 + $18.95 + $26.58 = $48.51
Notice that these are average costs, so you should budget a little bit over that just in case, then the correct option is $60, which is the first option over the average total cost.
Learn more about additions:
https://brainly.com/question/25421984
#SPJ1
Answer:
45
Step-by-step explanation:
!!!HELP PLEASE ASAP!!! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.
Answer:
population standard deviation = 7.68sample standard deviation = 8.87Pick only one of these values. So if the first one doesn't work, then try the other one. Unfortunately, your teacher isn't clear on which value to go with.
===========================================================
Explanation:
Nice work on getting the mean so far.
To get the standard deviation, we'll use the value 236 in the table. This value is the sum of everything above it. So it's the sum of the [tex](x-\overline{x})^2[/tex] values. We call this the sum of the squared errors. The errors themselves being [tex]x-\overline{x}[/tex]
So we'll divide 236 over n = 4 to get 236/4 = 59
This will get us the population variance. Apply the square root to get [tex]\sqrt{59} \approx 7.68[/tex] which is the population standard deviation.
So if your teacher wants the population standard deviation, then the answer is 7.68
------------
If that answer doesn't work, then try this section.
Unfortunately, there are two flavors of standard deviation. The good news is that we don't have to do much work to find the sample standard deviation.
Instead of dividing by n = 4, we'll divide by n-1 = 4-1 = 3.
So 236/3 = 78.667
Since the value is approximate, I'll leave it as a fraction.
This represents the sample variance.
Apply the square root to get the sample standard deviation
[tex]\sqrt{\frac{236}{3}} \approx 8.87[/tex]
and that value is the sample standard deviation.
If the answer in the previous section doesn't work, then the answer must be 8.87
Please help me with this question and don't report
Answer:
50 ft
Step-by-step explanation:
For this problem we will use the Pythagorean theorem which is: a^2+b^2= c^2
I found the length for both of the legs on this triangle which are: 30 ft (for the side on the far left) and 40ft (for the other leg of the triangle whose hypotenuse is the walkway).
Now that we know the two legs we can use the Pythagorean theorem:
40^2 + 30^2 = 2500
then take the square root of 2500 in order to find the hypotenuse length:
Square root of 2500= 50ft
plz consider marking me as brainliest, it truly helps me!
Answer:
50ft
Step-by-step explanation:
trust me on this answer
A biologist is researching a newly discovered species of bacteria. At time t = 0 hours, she puts 100 bacteria into what she has determined to be a favourable growth medium. The population of bacteria doubles every 3 hours. How many bacteria are there in 6 hours? a)200 b)100 c)400 d)600
Answer:
I'm sorry but I don't know this one
Need Help this is due in 30 minutes!
Answer:
E
Step-by-step explanation:
Since all the numbers are hundredths decimals, let multiply by the power of 2 of the base 10. So let multiply the equation by
[tex]10 {}^{2} [/tex]
So our new equation is
[tex]3 3{x}^{2} + 71x - 14 = 0[/tex]
Solve by AC method
[tex]ac = - 462[/tex]
[tex]b = 71[/tex]
We must think of two numbers that
Multiply to -462 and Add to 71. Set up equation
The numbers are 77 and -6.
So our new equation is
[tex] {33x}^{2} + 77x - 6x - 14 = 0[/tex]
Solve by factoring by grouping
[tex](33 {x}^{2} + 77x) - (6x - 14)[/tex]
Factor out 11 for the first equation
[tex]11x(3x + 7) - 2(3x + 7)[/tex]
So our factors are
[tex](11x - 2)(3x + 7)[/tex]
Set each equal to zero
[tex]11x - 2 = 0[/tex]
[tex]11x = 2[/tex]
[tex]x = \frac{2}{11} [/tex]
[tex]3x + 7 = [/tex]
[tex]3x = - 7[/tex]
[tex]x = \frac{ - 7}{3} [/tex]
help
The points (63, 121), (71, 180), (67, 140), (65, 108), and (72, 165) give the weight in pounds as a function of height in inches for 5 students in
a class. Give the points for these students that represent height as a function of weight
{(121, 63), (180, 71), (140, 67), (108, 65), (165, 72)}
{(121, 140), (180, 71), (140, 67), (108, 65), (165, 72);
{(121, 71), (180, 63), (140, 67), (108, 65), (165, 72)}
{(63, 121), (71, 180), (67, 140), 65, 108), (72, 165))
Answer:
{(121, 63), (180, 71), (140, 67), (108, 65), (165, 72)}
Step-by-step explanation:
We have:
Weight as a function of height.
Give the points for these students that represent height as a function of weight:
Inverse of the input, that is, in the (x,y) format, (x,y) -> (y,x), the coordinates are exchanged, and thus, the correct option is:
{(121, 63), (180, 71), (140, 67), (108, 65), (165, 72)}
help with num 12 please. thanks
Step-by-step explanation:
Given:
[tex]x = e^{-t}\sin t[/tex]
Taking the 1st and 2nd derivatives of the above expression,
[tex]\dfrac{dx}{dt} = -e^{-t}\sin t + e^{-t}\cos t[/tex]
[tex]\dfrac{d^2x}{dt^2} = e^{-t}\sin t - e^{-t}\cos t -e^{-t}\cos t[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- e^{-t}\sin t[/tex]
[tex]\:\:\:\:\:\:\:\:\:= -2e^{-t}\cos t[/tex]
Therefore,
[tex]\dfrac{d^2x}{dt^2} + 2\dfrac{dx}{dt} + 2x[/tex]
[tex]= -2e^{-t}\cos t + 2(-e^{-t}\sin t + e^{-t}\cos t)[/tex]
[tex]\:\:\:\:+ 2e^{-t}\sin t[/tex]
[tex]= -2e^{-t}\cos t - 2e^{-t}\sin t + 2e^{-t}\cos t + 2e^{-t}\sin t[/tex]
[tex]= 0[/tex]
This shows that [tex]x = e^{-t}\sin t[/tex] is the solution to the differential equation
[tex]\dfrac{d^2x}{dt^2} + 2\dfrac{dx}{dt} + 2x = 0[/tex]
35. Graph the following system of equations and find the x-coordinate of the solution.
3x+ 3y=3
Y=-1/2x+2
x=2
x= -2
X = 3
x=0
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Answer:
(b) x = -2
Step-by-step explanation:
The graph shows the lines intersect at (x, y) = (-2, 3).
The x-coordinate of the solution is x = -2.
Given the flag ABCDE, determine the single rule (x,y) that creates the
transformed figure A'B'C'D'E'. Fill in your answer below in the format (x,y)--
>
WILL GIVE BRAINLIEST
Answer:
(y, -x)
Step-by-step explanation:
Rotation of 90°
(Clockwise)
(x, y) ---> (y, -x)
Rotation of 90°
(CounterClockwise)
(x, y) --> (-y, x)
Rotation of 180°
(Both Clockwise and Counterclockwise)
(x, y) ---> (-x, -y)
Rotation of 270°
(Clockwise)
(x, y) ---> (-y, x)
Rotation of 270°
(CounterClockwise)
(x, y) ---> (y, -x)
Question 1
The perfect square among the following options is
8
Say
27
216
256
Answer:
217 is the perfect swuare i think
What is the surface area of the composite figure?
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Answer:
382 cm²
Step-by-step explanation:
The side facing is a trapezoid with bases 8 and 14 cm, and height 7 cm. Its area is ...
A = 1/2(b1 +b2)h
A = (1/2)(8 +14)(7) = 77 . . . . cm²
The perimeter of the face is ...
7 cm + 8 cm + 9 cm + 14 cm = 38 cm
The total surface area is the sum of the lateral area and the base area.
SA = LA + BA
SA = (38 cm)(6 cm) + 2×(77 cm²) = 228 cm² + 154 cm²
SA = 382 cm²
The surface area of the composite figure is 382 square centimeters.
_____
Additional comment
The lateral area is the width of a rectangular face (6 cm) times the total of all of the lengths of those faces. That total is the perimeter of the trapezoidal base (38 cm).
There are two trapezoidal bases that contribute area. The first calculation figured the area of one of them.
8b²+7b factorize it i want the explantion also pll help
b(8b+7)
Answer:
Solution given;
8b²+7b
let look what is common there;
8*b*b+7*b
over here b is common
take common and keep other remaining on bracket
b(8b+7)
In a simple way b(8b+7) is a factorise form of
8b²+7b
Does the point (0, 0) satisfy the equation y = x2?
Answer:
The point is a solution
Step-by-step explanation:
y = x^2
Substitute the point into the equation and see if it is true
0 = 0^2
0=0
True
The diagonal of rectangle ABCD measures 2 inches in
length.
What is the length of line segment AB?
3
1 inch
B
60°
03 inches
04 inches
43 inches
2
30
D
Answer:
B. √3 inches
Step-by-step explanation:
Apply trigonometry ratio to solve for AB
AB = DC (opposite sides of a rectangle are equal)
Given,
reference angle (θ) = 30°
Hypotenuse = BD = 2
Adjacent = DC = ?
Apply CAH, which is:
Cos θ = Adj/Hyp
Substitute
Cos 30° = DC/2
2*Cos 30° = DC
2*√3/2 = DC (Cos 30° = √3/2)
DC = √3 in.
AB = DC. Therefore,
AB = √3 inches
HELP. Need help on this
Answer:
what are the answers
Step-by-step explanation:
A pair of fair dice are rolled. Find the probability of rolling a sum that is a multiple of 3 or a multiple of 4.
Answer:
0.5555 = 55.55% probability of rolling a sum that is a multiple of 3 or a multiple of 4.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Possible outcomes:
For the pair of dice:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
So 36 total outcomes.
Desired outcomes:
Sum being multiplies of 3 or multiples of 4, so:
(1,2), (1,3), (1,5)
(2,1), (2,2), (2,4), (2,6)
(3,1), (3,3), (3,5), (3,6)
(4,2), (4,4), (4,5)
(5,1), (5,3), (5,4)
(6,2), (6,3), (6,6)
3 + 4 + 4 + 3 + 3 + 3 = 20
Probability:
[tex]p = \frac{20}{36} = 0.5555[/tex]
0.5555 = 55.55% probability of rolling a sum that is a multiple of 3 or a multiple of 4.
Help ASAP PLEASE (STATISTICS) !!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
i cant see it good
Step-by-step explanation:
prob its me
The angles in a triangle are 100, 40, and 40 degrees. Classify the triangle by its angles and sides.
A. Right isosceles
B. Right Scalene
C. Obtuse scalene
D. Acute isosceles
E. Acute scalene
F. Obtuse isosceles
Answer:
F. Obtuse isosceles
Step-by-step explanation:
Since we have an angle that is 100 degrees, we have an obtuse angle
We have two angles that are 40, which means we have two sides that are equal length, because two angles have the same measure. That means it is isosceles
The triangle is an obtuse isosceles
Please help with this question
9514 1404 393
Answer:
21 pounds
Step-by-step explanation:
Let x represent the number of pounds of Type A coffee in the blend. Then the number of pounds of Type B coffee is 4x, and the cost of the blend is ...
4.35x +5.40(4x) = 544.95
25.95x = 544.95 . . . . . . . . . . simplify
x = 21 . . . . . . . . . . . . . . . divide by 25.95
21 pounds of Type A coffee were used.
