Answer:
Volume = 480 cubic inches
Explanation:
We have the following relationships to work with
width w = h -3
length l = h + 4
area of base of prism a = l x w = 60 (1)
area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)
Setting (1) = (2) gives
h² + h -12 =60
h² + h -72 = 0
Factoring the LHS we get
(h+9)(h-8) = 0
The solutions for h are
h + 9 = 0 ==> h = -9
h - 8 = 0 ==> h = 8
Since h cannot be negative, h = 8 inches
Volume = base area x h = 60 x 8 = 480 cubic inches
Note
We do not have to calculate length and width separately, but if so,
w = 8 -3 = 5
l = 8 + 4 = 12
How would I solve this?
Based on the incomplete table given, the extra production cost that was used in producing a car in the United States when compared to Japan to the nearest dollar is: $1,380
Calculations and ParametersThe production costs are given below:
Japan: $2,575
United States: $1,200
Therefore, the extra cost of production in producing it in the United States would be: 2,575-1,200=
$1,375
To the nearest dollar, it would be:
$1,380
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Help me plsssss I do not know how to solve it, I already upload the picture pls help me
The number of additional tea bags that are needed to make each additional cup of tea is: B. one.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
x and y are the points.m is the slope or rate of change.c is the intercept.Comparing the given equation with the standard form of the equation of a linear function, we have:
t ⇒ y, n ⇒ x;
t = n + 2 ≡ y = mx + c
Therefore, we can logically deduce that the slope (m) is equal to one (1).
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Complete Question:
At a restaurant, n cups of tea are made by adding t tea bags to hot water. If t = n+2. how many additional tea bags are needed to make each additional cup of tea?
The weight w of an object above the Earth varies inversely as the square of the distance d from the centre of the earth. If an astronaut weighs 80 kg on the surface of the earth, what would this weight be at an altitude of 1000 km? Assume the radius of the Earth to be 600 km. Give your answer correct to the nearest kg.
Answer:
11 kg
Explanation:
Given weight in kg ∝ d² where d is the distance of the object from the center of the earth
We can write this as an equatio
w = (k/d²) where is a constant
On the surface of the earth, d = 600, w = 80 so we get
80 = k/600² ==> k = 600² ( 80) = 600 x 600 x 80 (1)
At 1000 km altitude, the actual distance of the astronaut from the center of the earth is 1000 + 600 - 1600 km
So we get another equation w' = k/1600²
were w' is the weight of the astronaut at an altitude of 1000km
Using the value of k from (1) we get
w' = (600 x 600 x 80)/(1600 x 1600) = 11.25kg = 11 correct to the nearest kg
How does the different forms of ownership contribute to sustainable job creation
Answer:Job creation and economic growth are related. Job creation is necessary because, the more people work the more the economy become stable. Economic stability is needed before people can start making big investments in themselves and their children.
Explanation:
S21: sorting algorithms bubble sort for each set of data, write out each pass of bubble sort. 1. sort in descending order, beginning at the front: 56, 1, 23, 10, 7, 15, 11,
The sorted algorithm of the bubble sort in descending order, beginning at the front is:
56, 23, 10, 7, 15, 11, 4, 1
56, 23, 10, 15, 11, 7, 4, 1
56, 23, 15, 11, 10, 7, 4, 1
56, 23, 15, 11, 10, 7, 4, 1
What is Sorting Algorithm?This refers to the type of algorithm that is used to rearrange a given array or list elements according to a comparison operator on the elements.
Therefore, we can see that based on the bubble sort: 56, 1, 23, 10, 7, 15, 11, the correct sort in the descending order, beginning at the front is given above.
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What element MOST defines a fairy tale?
1. involving real-world historical figures
2. involving a person of royal station (e.g., prince)
3. involving actual fairies (or their regional equivalent)
4. involving some magical force
Answer:
4. involving some magical force
Explanation:
If not 4, then try 2
Which of the following is a characteristic of all minerals?
a. Contains silicon
b. Inorganic
c. Liquid
d. Man-made
Answer is b. Inorganic
The correct option is b. One main characteristic of all minerals is that they are inorganic.
What is a mineral?
A mineral is a term used to describe a naturally occurring material that has its own set of unique chemical and physical properties. These properties can vary, such as hardness, colour, acidity level, etc. Examples of minerals includes, gold, copper, crude, etc, all of these materials are not man made, they are naturally occuring.
What does inorganic mean?The term inorganic describes any material that is not made up of living matter. In other words, they are liveless substances. Hence, minerals are classified as inorganic materials due to having this very nature.
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Answer:
B. Inorganic
Explanation:
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Hope this helps!
In the figures above, lines l and m are parallel and BD bisects ABC. What is the value of x?
Answer:
54 degrees
Explanation:
Plot point X on the left of point A on line l. Lines l and m are parallel, and segment AB is the transversal. Angles BAX and ABC are alternate interior angles, so they are congruent (same angle measures). Since segment BD bisects angle ABC, angles ABD and DBC are congruent. Therefore angle ABD is 108/2 = 54 degrees. In the diagram, we can also see that angle DAB is 180-108 = 72 degrees. Since interior angles of a triangle add up to 180, angle ADB is 180-72-54 = 54 degrees.
Answer: I don't Know
Critically discuss three ways in which physical activities could improve your quality of life
Answer:
hola
Explanation: