Answer:
10a²b²6ab²
Step-by-step explanation:
Distribute the 2ab the other values
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are choise 13,14 13,14,15 15,16,17 16,17
Answer:
5
Step-by-step explanation:
Run A Regression Analysis Job Evaluation Weighted Points Avg. $ X Y Dealer 120 19944.44 Shark 145 29458.33 Laborer 175 34000 Banker 215 56875 Consultant 245 62900 Completion of:
Task A: Conduct a simple regression in Excel to create a market pay line by entering the job evaluation points (on the X axis) and the respective weighted average market base pay (on the Y axis) for each benchmark job. Completion of
Task B: What is your R squared (variance explained)? Is it sufficient to proceed? Completion of
Task C: Calculate the predicted base pay for each benchmark job. Completion of
Task D: Because your company wants to lead in base pay by 3 percent, adjust the predicted pay rates to determine the base pay rate you will offer for each benchmark job. Completion of
Task E:
Task H: Create pay grades by combining any benchmark jobs that are substantially comparable for pay purposes. Clearly label your pay grades and explain why you combined any benchmark jobs to form a grade Completion of
Task F: Use your answer to Task H to determine the pay range (i.e., minimum and maximum) for each pay grade. Completion of
Task G: Given the pay structure you have generated, consider the following: Does this pay structure make good business sense?
Do you think it is consistent with the organization’s business strategy? What are the implications of this pay structure for other HR systems, such as retention and recruiting
Answer:
task b
Step-by-step explanation:
The exchange rate for US dollars is £1=$1.62.How many dollars will I get for
a) £3. b)50p. c) £2.60 d) £5.63
Round your answer to 2 decimal places.
A person who takes a 10-minute shower might use between 20 and 25 gallons of water,depending on the speed of the water passing through the showerhead . The lower the speed, the less water that is used.
The equation w=2.5m models the amount of water, w, in gallons that passes through a showerhead in minutes.
Which is the independent variable and which is the dependent variable?
The amount of water in gallons, w, is the independent or dependent variable.
The time in minutes, m, is the independent or dependent variable.
Answer:
The amount of water in gallons, w, is the dependent variable.
The time in minutes, m, is the independent variable.
Step-by-step explanation:
The amount of water in gallons depends on the time in minutes. If the time is higher, the amount of water in gallons will be higher. If the time is lower, the amount of water in gallons will be lower.
Hope that helps.
If 18% of q is 27 , what is 27% of 2q
In this problem, there are two parts. We will need to find what q is if 18% of q is 27, and what 27% of 2q is.
First, let's set up and solve the equation for 18% of q is 27.
18 / 100 = 27 / q
100q = 486
q = 4.86
Next, we'll find the value of 2q.
2(4.86) = 9.72
Finally, we'll set up a proportion and solve for 27% of 2q.
27 / 100 = x / 9.72
100x = 262.44
x = 2.6244
If 18% of q is 27, then 27% of 2q is 2.6244 (round to tenths/hundredths place as needed).
Hope this helps!! :)
Answer:
81Step-by-step explanation: Let's first find the value of q
[tex]18/100 \times q = 27\\\frac{18q}{100} = \frac{27}{1}\\18q = 2700\\\frac{18q}{18} = \frac{2700}{18} \\q= 150.\\[/tex]
Now we can find 27% of 2q
[tex]27 \% \times 2q = \\27 \% \times 2(150)\\\frac{27}{100} \times 300\\\\= \frac{8100}{100} \\= 81[/tex]
The distance from Parrot Point Airport to the Ivy Cliffs is 291 miles at and angle of 9.1 degrees northeast. There is a wind blowing southeast at 25 miles per hour. You want to make this trip in 3 hours by flying straight there. At what speed* and heading should you fly?
Answer:
The speed V = 194.03 mph
Direction = 3.6° northeast
Step-by-step explanation:
The distance of the trip = 291 miles
The direction of flight = 9.1 degrees northeast
Speed of the prevailing wind = 25 mph
Direction of wing = southeast = 45 degrees South of East
The speed heading to Ivy Cliffs = V₁
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
V×(sin(9.1) + cos(9.1)) + 25×(sin(45) + -cos(45)) × t₂ = 291 miles
t₁ + t₂ = 3 hours
(V×(sin(9.1)-25×(sin(45))j + (V×cos(9.1) + 25×cos(45))i
The magnitude V² = V²+29.32·V +625= 291²/t₁²......(1)
Also on the return trip we have;
V²-29.32·V +625= 291²/(3-t₁)²..........................................(2)
Subtracting equation (2) from (1) gives;
58.64·V = 291²/t₁² - 291²/(3-t₁)² = 291²×(6·t-9)/(t²·(t-3)²)
V = 291²×(6·t-9)/(t²·(t-3)²)/58.64
Substituting the value of V in (2) with a graphing calculator gives;
t₁= 1.612 or 1.387
Given that magnitude of the speed going > return = V² for t₁ < t₂
t₁ = 1.387, t₂ = 1.612
From V²+29.32·V +625= 291²/t₁², we have
V²+29.32·V +625= 291²/1.387²
Which gives
V²+29.32·V -43336.5 = 0
(V + 233.35)(V-194.03) = 0
V = -233.35 mph or V = 194.03 mph
Given that V is a natural number, we have, V = 194.03 mph.
The direction is given by the relation;
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
194.03×sin(9.1 degrees)-25×sin(45 degrees)j + 194.03×cos(9.1 degrees) + 25×cos(45 degrees)i = 291/1.387
13j + 209.27i = 208.81 mph
The angle tan θ = 13/209 = 0.00622
θ = tan⁻¹(13/209.27) = 3.6°.
Please, help me with this. Solve X/6 = 7
Answer:
42
Step-by-step explanation:
Answer:
x = 42
Step-by-step explanation:
Given x/6 = 7
solution:
multiply both sides by 6
x/6*6 = 7*6
x = 42
x + y = 6
X - 4y = 1
Find the solution of the system of equations by using
elimination.
Answer:
x=5, y=1
Step-by-step explanation:
First, you need to multiply both sides of the second equation by -1 so that you can proceed the elimination process. Like this...
x + y = 6
x - 4y = 1
x + y = 6
-x + 4y =- 1
Now you can eliminate the x variable by addition process. It becomes like this...
x + y = 6
-x + 4y =- 1
5y=5
y = 1
Now, let's proceed substitution process. You can substitute the value of y into any equation that you want. I want to put the value of y into the equation of x + y = 6 .
When y=1, substitute into x + y = 6
x + 1 = 6
x = 6-1
x = 5
Hooray! Now you have the value of x and y.
x= 1 and y=5.
I hope you will understand my explanation. Bye!
If log3=0.4771 and log2=0.3010,Find the value of log12
Answer:
log 12 = 1.0761
Step-by-step explanation:
log 12
=log(3*2*2)
= log 3 +log 2+ log 2
=0.4771+0.3010+0.3010
=1.0761
Answer:
Log 12 = 1.0791
Step-by-step explanation:
=> log (12)
Prime Factorizing 12
=> log (2×2×3)
Using log rule : [tex]log (a*b) = log a+logb[/tex]
=> Log 2 + log 2 + log 3
Given that log 2 = 0.3010 , log 3 = 0.4771
=> 0.3010 + 0.3010 + 0.4771
=> 1.0791
3t+1/16-2t-3/7=t+3/8+3t-1/14
Answer:
t = -(25/112)
In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture. A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture this umbrella. (Hint: an umbrella will have no base) A cone has a volume of 150 cm3 and a base with an area of 12 cm2. What is the height of the cone? Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must be as large as possible. A winter recreational rental company is fencing in a new storage area. They have two options. They can set it up at the back corner of the property and fence it in on four sides. Or, they can attach it to the back of their building and fence it in on three sides. The rental company has decided that the storage area needs to be 100 m2 if it is in the back corner or 98 m2 if it is attached to the back of the building. Determine the optimal design for each situation.
Answer:
1. The amount of ice needed = 18 m²
2. The amount of fabric needed to manufacture the umbrella is 0.76 m²
3. The height of the cone, is 3.75 cm
4. The dimensions of the deck are;
Width = 28/3 m, breadth = 28/3 m
The area be 87.11 m²
5. The dimensions of the optimal design for setting the storage area at the corner, we have;
Width = 10m
Breadth = 10 m
The dimensions of the optimal design for setting the storage area at the back of their building are;
Width = 7·√2 m
Breadth = 7·√2 m
Step-by-step explanation:
1. The amount of ice needed is given by the volume, V, of the pyramid given by V = 1/3 × Base area × Height
The base area = Base width × Base breadth = 3 × 5 = 15 m²
The pyramid height = 3.6 m
The volume of the pyramid = 1/3*15*3.6 = 18 m²
The amount of ice needed = 18 m²
2. The surface area of the umbrella = The surface area of a cone (without the base)
The surface area of a cone (without the base) = π×r×l
Where:
r = The radius of the cone = 0.4 m
l = The slant height = √(h² + r²)
h = The height of the cone = 0.45 m
l = √(0.45² + 0.4²) = 0.6021 m
The surface area = π×0.4×0.6021 = 0.76 m²
The surface area of a cone (without the base) = 0.76 m²
The surface area of the umbrella = 0.76 m²
The amount of fabric needed to manufacture the umbrella = The surface area of the umbrella = 0.76 m²
3. The volume, V, of the cone = 1/3×Base area, A, ×Height, h
The volume of the cone V = 150 cm³
The base area of the cone A = 120 cm²
Therefore we have;
V = 1/3×A×h
The height of the cone, h = 3×V/A = 3*150/120 = 3.75 cm
4. Given that the deck will have railings on three sides, we have;
Maximum dimension = The dimension of a square as it is the product of two equal maximum obtainable numbers
Therefore, since the deck will have only three sides, we have that the length of each side are equal and the fourth side can accommodate any dimension of the other sides giving the maximum dimension of each side as 28/3
The dimensions of the deck are width = 28/3 m, breadth = 28/3 m
The area will then be 28/3×28/3 = 784/9 = [tex]87\frac{1}{9}[/tex] =87.11 m²
5. The optimal design for setting the storage area at the corner of their property with four sides is having the dimensions to be that of of a square with equal sides of 10 m each as follows;
Width = 10m
Breadth = 10 m
The optimal design to have the storage area at the back of their building having a fence on only three sides, is given as follows;
Storage area specified = 98 m²
For optimal use of fencing, we have optimal side size of fencing = s = Side length of a square
s² = 98 m²
Therefore, s = √98 = 7·√2 m
Which gives the width = 7·√2 m and the breadth = 7·√2 m.
Help, I need an answer ASAP
Answer::
SSS: When all three sides are equal to each other on both triangles, the triangle is congruent. AAS: If two angles and a non-included (you can think of it as outside) side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Therefore let's solve according to the statement..
1) yes..all three sides are equal
2)no..all sides aren't equal
3)yes..all sides are equal
4)no..all sides aren't equal
Hope this helped u..
Answer:
1) No 2) No 3) Yes; SAS 4) Yes; AAS
Step-by-step explanation:
In the first triangle, you see two sides are congruent to each other, and there is an angle but it is not in between. An Angle-Side-Side-Postulate doesn't exist, so this will be a no. For number 2, you see one angle and two sides are congruent. The angle isn't between the triangles, so this is not congruent. Again, an Angle-Side-Side Postulate doesn't exist. For number three, we see two sides are given, and the two triangles intersect. This gives us a vertical angle, and vertical angles are congruent. We can conclude these triangles are congruent by the Side-Angle-Side Postulate. Lastly, we're given one side and one angle. We can also infer that the vertical angles are congruent, so this will be the result of Angle-Angle-Side.
|3x+9|= 30
Answer: x=7, -13
Answer:
[tex]\boxed{x=7, \: x=-13}[/tex]
Step-by-step explanation:
[tex]|3x+9|= 30[/tex]
Solve for absolute value.
There are two possibilities.
One possibility:
[tex]3x+9=30\\3x=21\\x=7[/tex]
Second possibility:
[tex]3x+9=-30\\3x=-39\\x=-13[/tex]
Mr.Brown is creating examples of systems of equations. He completes the steps to find the solution of the equation below. Based on this week, what solution to the system?
•(-4,-4)
•(0,0)
•no solution
•infinitely many solutions
Answer:
infinitely many solutions
Step-by-step explanation:
0 = 0 ← is a true statement.
Indicates that the 2 lines are the same line, that is one lying on top of the other.
Thus the system has an infinite number of solutions
Because Mr. Brown arrived to an identity, we conclude that there are infinitely many solutions.
How many solutions does the system have?First, the solutions of a system of equations are the points (x, y) where the graphs of both equations intercept.
Particularly, if we have two times the same equation, then the graphs intercept in infinite points, which means that we will have infinite solutions.
So, always that we have an identity in our solution (something like 0 = 0) we have infinite solutions (that happens because we do not have restrictions for x or y, which means that for every value of x, we will find a point (x, y) that is a solution of the system).
Then we conclude that the system has infinitely many solutions.
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What is the slope of the graph shown below?
A. -2
B. 1
C. 2
D. 1/2
Answer:
i think its the answe d but not sure
The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula so that it is rewritten to solve for r. Below are various solutions that your group-mates have arrived at. Select the correct one A) r=3V4π−−−√ B) r=3V4π−−−√3 C) r=3V√34π D) r=4V3π−−−√3
Answer:
Step-by-step explanation:5
The length and width of a rectangular yard are 11 meters and 5 meters respectively. If each dimension were reduced by x meters to make the ratio of length to width 8 to 3, what would be the value of x
Answer:
x=7/5
Step-by-step explanation:
Original dimensions
Length=11 meters
Width=5 meters
Each dimension reduced by x meters
L=11-x
W=5-x
Length/width=ratio of length/ratio of width
11-x/5-x = 8/3
Cross product
(11-x)3 =( 5-x)8
33-3x=40-8x
-3x+8x=40-33
5x=7
x=7/5
Check:
11-7/5=55-7/5
=48/5
5-7/5=25-7/5
=18/5
48/5÷18/5
=48/5*5/18
=240/90
=24/9
=8/3
Length: width=8:3
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y
Answer:
135° and 45° respectively
Step-by-step explanation:
x + y = 180° (angles on a straight line)
x = 3y (corresponding angles)
3y + y = 180°
4y = 180°
y = 180/4
y = 45°
x = 180 - y
x = 180 - 45
x = 135°
Solve: 3/4y -2 = 6 - 1/4y
Answer:
8
Step-by-step explanation:
Hi there! :)
Answer:
y = 8.
Step-by-step explanation:
Starting with:
3/4y - 2 = 6 - 1/4y
Isolate the y variable to solve this equation. Begin by adding '1/4y' to both sides:
3/4y + 1/4y - 2 = 6
y - 2 = 6
Add 2 to both sides:
y = 8.
Paige launched a ball using a catapult she built. The
height of the ball (in meters above the ground) t seconds
after launch is modeled by
h(t) = -5t2 + 40t
Paige wants to know when the ball will hit the ground.
1) Rewrite the function in a different form (factored
or vertex) where the answer appears as a number in
the equation.
h(t) =
2) How many seconds after launch does the ball hit
the ground?
seconds
Answer:
5 seconds ma boii
Step-by-step explanation:
i just took tha test
Answer:
1) h(t) = -5t(t - 8)
t - 8 = 0, so
2) t = 8 seconds
Step-by-step explanation:
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.
A 2-row table with 10 columns. The first row is labeled time (minutes) with entries 0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4, 4.5. The second row is labeled temperature (degrees Celsius) with entries 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.
According to the line of best fit, at what time will the temperature reach 100°C, the boiling point of water?
Answer:
A.) 5
Step-by-step explanation:
the answers for me are 5, 5.5 ,6 ,6.5
A line of best fit will show that the time at which the temperature will reach 100°C, the boiling point of water is 6.5 minutes
What is a line of best fit?A line of best fit in a line graph is the line that allows for equal amount of outliers to the left and to the right of the line.
The line plot of the data above will have time on the horizontal axis and temperature on the vertical axis.
Plotting the points on the graph and drawing a line of best fit will show that the time at which the temperature will reach 100 °C is 6.5 minutes.
Therefore, the time at which the temperature will reach 100°C, the boiling point of water is 6.5 minutes.
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Help me please I can’t figure it out
Answer:
2 m
Step-by-step explanation:
The bottom length of the bottom cuboid is equal to the top length of the bottom cuboid.
8 = 3 + c + 3
8 = c + 6
8 - 6 = c
2 = c
Answer:
2 is the missing length
Step-by-step explanation:
3 + x+ 3 =8
6+x =8
x= 8-6
x=2
9. A open-sea diver dove down 42 ft. to harvest sponges. After rising 28 ft. how far was the diver from
the surface? (Hint: Drawing a diagram may help you answer this.)
Answer:
14 feet away from the surface. -14
Step-by-step explanation:
The diver was 42 feet below the surface.
He went up 28 feet.
We have to find out how far he is from the surface.
All you would do is subtract 42 - 28.
This would be 14 feet.
This means the diver is 14 feet away from the surface.
The diver is 14 feet away from the surface.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The diver was 42 feet below the surface.
He went up 28 feet.
So, after moving 28 feet up the remaining distance would be
= 42 - 28.
= 14 feet
Hence, the diver is 14 feet away from the surface.
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Driving on the highway, you can safely drive 60 miles per hour. “How far can you drive in ‘h’ hours?” What is the range of the function which defines this situation?
A. 60
B.the number of hours you drive
C.the amount of gas you use
D.the distance you drive
Answer:
D.the distance you drive
Step-by-step explanation:
The range of the function is the values of the output
h is the input
60h is the output
60 = miles driven = distance
Answer:
the answer would be D. the distance you drive
Step-by-step explanation:
because i took the quiz and put this answer and got it right
Need help quick quick quico
Answer:
7 batches
Step-by-step explanation:
Stephanie casts a shadow of 1.2 m and she is 1.8 m tall. A wind turbine casts a shadow of 10m at the same time that Stephanie measured her shadow. Draw a diagram of this situation
and then calculate how tall the wind turbine is.
Answer:
see below for a diagram15 mStep-by-step explanation:
Stephanie is 1.8/1.2 = 1.5 times as tall as her shadow is long. We expect the same is true of the wind turbine.
The wind turbine's shadow is 10 m long, so its height is 1.5·(10 m) = 15 m.
The wind turbine is 15 m tall.
Julie gathered data about the numbers of pages and chapters in several books by her favorite author.The equation of the line of best fit is y = 15.261x + 8.83. Based on the line of best fit, approximately how many pages are predicted to be in a book with 8 chapters? A. 113 B. 122 C. 131 D. 193
Answer:
C
Step-by-step explanation:
To get the approximate number of pages in the chapters, what we need to do is to substitute for the value of x in the line of best fit equation.
Thus, we have;
y = 15.261(8) + 8.83 = 122.088 + 8.83 = 130.918
This is approximately equal to 131
To which set or sets below does the number -7/8 belongs to ?
Answer:
-7/8
Step-by-step explanation:
What is a square root
Answer:
A square root of a number is a value that, when multiplied by itself, gives the number.
Examples:
4 multiplied by itself is 16. Therefore, the square root of 16 is 4.
(4 x 4 = 16)
The same goes for every number.
(3 x 3 = 9) square root of 9 is 3
(5 x 5 = 25) square root of 25 is 5
finding the number which was multiplied to itself giving the given product of question
Find the value of x if 12x=34^2 - 26^2
Answer:
40
Step-by-step explanation:
[tex] 12x = 34^2 - 26^2 \\
12x = (34+26)(34-26)\\
12x = 60\times 8\\\\
x = \frac{60\times 8}{12}\\\\
x = 5\times 8\\
x = 40[/tex]