Willy the Wombat is 50 feet from a tree. The tree is 75 feet tall. At what angle of elevation should Willy look to see the top of the tree? Round to the nearest degree
Answers
Explanation:
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A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock.
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 1,900 plastic books sold in San Francisco, and 300 hardcover, 200 softcover, and 400 plastic books sold in Los Angeles. The bookstore chain actually maintained the same sales figures for the first 6 months of the year. Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 600 hardcover, 600 softcover, and 600 plastic books to Los Angeles.
(a) Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.
Hard Soft Plastic
San Francisco
Los Angeles
(b) Use matrix operations to determine the inventory in each store at the end of June.
Hard Soft Plastic
San Francisco
Los Angeles
Answers
Answer:
a. Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
b) Ending Inventory: Matrix D:
Hard Soft Plastic
San Francisco 400 3,200 3,000
Los Angeles 2,800 8,400 3,200
Step-by-step explanation:
a) Data and Calculations:
Stock on January 1: Matrix A
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Sales in January: Matrix B
Hard Soft Plastic
San Francisco 600 1,200 1,900
Los Angeles 300 200 400
Restocking: Matrix C
Hard Soft Plastic
San Francisco 500 1,400 1,400
Los Angeles 600 600 600
Total Sales over the first 6 months =
Matrix B * 6 = Matrix B6
Sales in January: Matrix B
Hard Soft Plastic
San Francisco 600 1,200 1,900
Los Angeles 300 200 400
* 6
=
Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
Matrix C6 = Matrix C * 6
=
Restocking: Matrix C6
Hard Soft Plastic
San Francisco 3,000 8,400 8,400
Los Angeles 3,600 3,600 3,600
Inventory at the end of June =
Matrix A + Matrix C6 - Matrix B6
= Matrix D
Stock on January 1: Matrix A
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
+
Restocking: Matrix C6
Hard Soft Plastic
San Francisco 3,000 8,400 8,400
Los Angeles 3,600 3,600 3,600
-
Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
Ending Inventory: Matrix D:
Hard Soft Plastic
San Francisco 400 3,200 3,000
Los Angeles 2,800 8,400 3,200
Suppose you are driving to visit a friend in another state. You are driving 65 miles per hour.
You must drive 520 miles total. If you have already driven 195 miles, how long will it take you
to reach your destination? Use h to represent the number of hours it will take to reach your
destination. Use the equation 65h+195 = 520.
A.2 hours
B. 5 hours
C. 15 hours
D. 22 hours
Answers
Answer:
b.5 hours
520-195=325
325/65=5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
........................ .....
Water is leaking out of an inverted conical tank at a rate of 12,500 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate (in cm3/min) at which water is being pumped into the tank. (Round your answer to the nearest integer.)
Answers
Answer:
12500cm x3= 37500
6x3=18
37500+18=37518
The probability of an event occurring is 0.61. Which of the options below show the probability of an event that is less likely to occur? Select all that apply.
Answers
simplify (2x+y)(3x²+2xy+5y²)
Answers
Answer:
Step-by-step explanation:
6x3 +4x2y + 10xy2 + 3x2y + 2xy2+ 5y3
Solving like terms
6x3 + 7x2y + 12xy2 + 5y3
The simplified form of the expression is 6x³+5y³+12xy²+7x²y
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (2x+y)(3x²+2xy+5y²), we need to simplify it,
(2x+y)(3x²+2xy+5y²)
= 6x³+4x²y+10xy²+3x²y+2xy²+5y³
= 6x³+5y³+12xy²+7x²y
Hence, the simplified form of the expression is 6x³+5y³+12xy²+7x²y
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What is the solution to the equation Sqrt 2x+6-Sqrt x+4 = 1?
Answers
Answer:
its 5
Step-by-step explanation:
James wants to tile his floor using tiles in the shape of a trapezoid. To make
the pattern a little more interesting he has decided to cut the tiles in half
along the median. The top base of each tile is 13 inches in length and the
bottom base is 19 inches. How long of a cut will John need to make so that
he cuts the tiles along the median?
A. 16 inches
B. 3 inches
C. 6 inches
D. 32 inches
Answers
If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?
2
4
9
10
Answers
Answer:
A: 2
Step-by-step explanation:
EDGE 2021
Considering that the magnitude of the complex number x is of 13, a possible value of b is of 2.
What is a complex number?A complex number is modeled by:
z = a + bi.
In which:
a is the real part.b is the imaginary part.In this problem, the number is:
x = 3 + bi.
It's magnitude is given by:
[tex]|x| = \sqrt{3^2 + b^2}[/tex]
Then:
[tex]\sqrt{3^2 + b^2} = \sqrt{13}[/tex]
[tex]3^2 + b^2 = 13[/tex]
[tex]b = \pm \sqrt{4}[/tex]
[tex]b = \pm 2[/tex]
A possible value of b is of 2.
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Question 6
A cylinder has a radius of 4 cm and a height of 5 cm.
What is the volume of the cylinder when its radius is halved?
TT cm3
Answers
Step-by-step explanation:
3
[tex]3 \sqrt{xy { - }^{2} } [/tex]
PLEASE HELP ME !!!!!!!!
Answers
how do you describe the graph of |x| < 12 brainly
Answers
Answer:
Describe the two functions f(x) and g(x) , using the terms increasing, decreasing, maxima and minima. The graph of f(x) is periodic.
Answer:
Step-by-step explanation:
Please show how to do
Answers
Answer:
Slope = -3.5
Step-by-step explanation:
Find the slope using any two given pair of values. Let's use (6, -21) and (12, -42).
Slope = ∆y/∆x
Slope = (-42 -(-21)) / (12 - 6)
Slope = -21/6
Slope = -3.5
Evaluate −nz−z2−2z when n=3. Simplify your answer.
Answers
Answer: n=
−z2−5
z
Step-by-step explanation:
Let's solve for n.
(−n)(z)−z2−2=3
Step 1: Add z^2 to both sides.
−nz−z2−2+z2=3+z2
−nz−2=z2+3
Step 2: Add 2 to both sides.
−nz−2+2=z2+3+2
−nz=z2+5
Step 3: Divide both sides by -z.
−nz
−z
=
z2+5
−z
Answer:
-z^2-5z
Step-by-step explanation:
To evaluate a polynomial at a given value, we substitute the given value for the variable and then simplify using order of operations. We are given n=3, so we substitute 3 for n in the polynomial −nz−z2−2z and simplify as follows.
−nz−z2−2z
−(3)z−z2−2z
−3z−z2−2z
−z2−5z
Find the length of the side and I’ll give brainlyist
Answers
Answer:
the answer is about 7.5
Step-by-step explanation:
hope this helps
tell me if you want me to explain it
1 point
A 40-acre farm yields 600 bushels of wheat. At the same rate, how much
wheat would a 75-acre farm yield?
Answers
no. of bushels yield at 40 acre farm=600
no of bushels yield at 1 acre farm=15
no. of bushels yield at 75 acre farm=15×75
=1125
HELP ME PLSSS IM GIVING BRAINLIEST!!!
Answers
Answer:
B
Step-by-step explanation:
Find the value of 0.7 x 0.08
Answers
Answer:
0.056
Step-by-step explanation:
I used my calculator, not much work to show :)
Answer:
The answer for 0.7 x 0.08 is 0.056.
Explantion:
I am smart like that.
I am built different.
The volume of the box is 448 ft'. Find its length and width.
4 ft
X-6
X
The box has a length of
ft and a width of
ft.
What is length and width
Answers
Answer:
hi
Step-by-step explanation:
Find an answer to your question The volume of the box is 448 ft'. Find its length and width. 4 ft X-6 X The box has a length of ft and a width of ft.
hope this helps
I need help with this also
Answers
Answer:
Part A: $336.4
Part B:279.2645625
Step-by-step explanation:
$320+5.125% tax = 336.4
Part B:$279.2645625-5.125% tax = 279.2645625 bucks.
Thank you and good luck cheating
f(x) = 2x² + 4x - 5
g(x) = 6x3 – 2x2 + 3
Find (f – g)(x).
A. (f – g)(x) = –6x3 + 4x2 + 4x – 2
B. (f - g)(x) = 6x + 4x – 2
C. (f - g)(x) b= 6x? – 4x² - 4x + 8
D. (f - g)(x) = –6x2 + 4x2 + 4x – 8
Answers
The required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8
Given the following functions
f(x) = 2x² + 4x - 5
g(x) = 6x³ – 2x² + 3
In order to get the required function (f-g)(x), we will have to take the difference of the function as shown:
(f – g)(x) = f(x) - g(x)
Substitute the given parameters into the expression
(f – g)(x) = 2x² + 4x - 5 - (6x³ – 2x² + 3)
Expand
(f – g)(x) = 2x² + 4x - 5 - 6x³ + 2x² - 3
Collect the like terms
(f – g)(x) = 2x²+2x²- 6x³ + 4x -5 -3
(f – g)(x) = - 6x³+ 4x² + 4x -5 -3
(f – g)(x) = - 6x³+ 4x² + 4x - 8
Hence the required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8
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A large store has a warehouse it uses for storage. Trucks back up to the loading dock where merchandise is unloaded, sorted, and stacked in the correct area of the warehouse. The large shelves in the storage area are 17 feet 8 inches apart so the forklift machines can operate between the shelves. Is that distance greater than or less than 216 inches?
Answers
Answer:
The distance is less than 216 inches.
Step-by-step explanation:
Each feet has 12 inches.
The large shelves in the storage area are 17 feet 8 inches apart
So, in inches, this distance is of:
17*12 + 8 = 212
This distance is less than 216 inches.
How many cubes with side lengths of 1/3 cm does it take to fill the prism
Answers
Answer:
Answer:48 cubes
You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.
I hope it's helpful!
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Question: 1-3
In the figure below, ADBE is the result of a dilation of AABC with point B as the center of dilation.
E
С
Which statement best uses this information to explain why the AA criterion can be used to prove AABC - ADBE?
Answers
Answer:
I think that the answer is C
Step-by-step explanation:
8+y=18 как решить уравнения
Answers
Answer:
y=10
Step-by-step explanation:
8+y=18
(-8)
y=10
!!!!!!!!!!!
Answer:
ответ :y=10 я поставил объяснение
Which of the following expression is equivalent to 6^-7?
Answers
Answer:
B
Step-by-step explanation:
the area of a room is 55.929 square meters if its width is 5.43 meters, what is its length
Answers
Answer:
10.3m
Step-by-step explanation:
area of a rectangle is width times length, so you have to rearrange the equation
55.929 ÷ 5.43 = 10.3
Answer:
10.3 meters
Step-by-step explanation:
Area = length x width
55.929 = ? x 5.43
Divide 5.43 from 55.929
55.929/5.43 = 10.3 meters
Check = 10.3 x 5.43 = 55.929
If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?
Answers
Answer:
Rounded to the nearest integer, there are 32 boxes of labels left.
Step-by-step explanation:
Since there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain, we can determine how many boxes of labels remain through the following mathematical operations:
3/4 = 0.75
100 = 125
25.75 = X
25.75 x 125/100 = X
3218.75 / 100 = X
32.1875 = X
Thus, rounded to the nearest integer, there are 32 boxes of labels left.
Martha is following a recipe for 13 liters of punch that uses 8 liters
of pineapple juice and the rest lemonade.
How much pineapple juice is used for every liter of lemonade? What is the ratio of liters of pineapple juice to liters of punch ?
Answers
Answer:
For every 1 liter of lemonade Martha has to add 1.6 liters of pineapple juice.
The ratio of liters of pineapple juice to liters of punch is 8:13
Step-by-step explanation:
13 - 8 = 5
5 divided by 5 is 1
8 divided by 5 is 1.6
In ΔDEF, the measure of ∠F=90°, the measure of ∠E=41°, and FD = 79 feet. Find the length of DE to the nearest tenth of a foot.
Answers
Answer:
120.4ft
Step-by-step explanation:
Find the diagram in the attachment.
The triangle shown is a right angled triangle with the side DE as the hypotenuse, EF is adjacent side while DF is the opposite side.
To get DE, we will use the SOH CAH TOA trigonometry identity
Using CAH which is defined as:
Cos(theta) = Adjacent/Hypotenuse
Cos 79°= 23/Hypotenuse
Hypotenuse = 23/cos79°
Hypotenuse = 23/0.191
Hypotenuse = 120.4feet
DE = 120.4feet (to nearest tenth)
Find the measure of the numbered angles in each rhombus
Answers
Answer:
Step-by-step explanation:
I thought those lines mean that they are equal meaning that the number is 68.