Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)
Where:
[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.
[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.
If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]
[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct in
your answer
Answer:
59.5 cm
Step-by-step explanation:
Find the area of the entire rectangle first. Formula is base times height: [tex]9*8[/tex]
=72
Next, find the missing sides by subtracting [tex]8-3[/tex] and [tex]9-4[/tex].
=5 and 5
Then find the area of the triangle. Formula is base times height divided by 2: [tex]\frac{5*5}{2}[/tex]
=12.5
Then subtract to find only the shaded section: [tex]72-12.5[/tex]
=59.5 cm
Write an emergency that could happen that would have a financial cost
Answer:
Your house burning down.
Step-by-step explanation:
You would have to pay to repair it.
Answer:
Earthquake will make the building crash and people will lost their things and money. And the building need to rebuild.
The building fire will make people lost their things and the building need to rebuild.
Tsunami will make the things near beach all destroy, all the things will lost and more people will die in disaster. All the building need to rebuild in this disaster.
Bank robbery will lost money, sometimes people will kill by the gun of the thief, and the building do not need to rebuild, maybe the window need to rebuild.
Rob the shop will make the boss of the shop lose all the money in the store, the door or window might need to rebuild.
Blasting vehicle will make the things in the car lose. the car need to put the windows on again.
Terrorist attacks will lost lives more than lost money or other things.
Volcanic eruptions will make the building near burn, and so plant and many other things. The building might need to rebuild.
That is all I can think of.
A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each. Find the equation of the form P(n)
Answer:
The equation of the form P(n) is:
P(n)=-0.002n+75
Step-by-step explanation:
From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:
m=(p1-p2)/(n1-n2)
m=slope
p1=69
p2=61
n1=3000
n2=7000
m=(69-61)/(3000-7000)
m=8/-4000
m=-0.002
Now that you have the slope, you can find the the equation of the form P(n):
P(n)=-0.002(n-3000)+69
P(n)=-0.002n+6+69
P(n)=-0.002n+75
According to this, the answer is that the equation of the form P(n) is:
P(n)=-0.002n+75
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
AccelGR7_Math_T6_FSQ_OL_FY21
Look at this system of linear equations.
S2x + 3y =-4
ly = 2x +4
What is the solution to the system of linear equations?
X = -2, y = 0
x= – 1, y = 2
x = 4, y = - 4
x = 2, y = 8
Answer:
x=-2 and y =0
Step-by-step explanation:
2x + 3y=-4
y=2x + 4
2x -y = -4
4y= 0
y = 0
2x -0=-4
2x =-4
x=-2
PLEASE HELP
x + 2/3 = 9/10
Answer:
The answer is x= 7/30
Explain why a variable's coefficient is 1 unless you see another number in front of it.
For adding variables we use the coefficient as 1 if there is no number infront of variable.
What is Expression?An expression is combination of variables, numbers and operators.
A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.
Let us consider a algebraic expression
ax+by+z=0
In the given expression a, b are coefficients of x and y respectively.
We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.
Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.
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an oil company bores a hole 80m deep estimate the cost of boring if the cost is £30 for drilling the first meter with an increase in cost of £2 per meter for each succeeding meter
Answer: £188
Step-by-step explanation:
Given
The depth of the hole is 80 m
For the first meter, it is £30
After that, it is £2 per meter
after a meter, it is 79 m more
The total cost is C
[tex]\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188[/tex]
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
Mean: 10
Median: 10.5
Mode: none
Step-by-step explanation:
there is no mode, mean is 10 and median is 10.5
What is x and y please help
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
(10y + 3) - (2y - 2)
Answer:
8y+5
Step-by-step explanation:
If 3 inches of rain fell in 5 hours, how much rain fell each hour? *
Answer:
Step-by-step explanation:
you can divide 5 divided by 3 and your answer will be 0.6
3. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points
or not a triangle: 11, 13, 25
Not a triangle
Acute
Right
Obtuse
4. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points
or not a triangle. 21, 28, 35
Not a triangle
Acute
Right
Obtuse
Answer:
3) Obtuse
4) Right
Step-by-step explanation:
3)
11 + 13 > 25 It is a triangle
11² + 13² = 25²
121 + 169 = 625
290 ≠ 625
Since hypotenuse is larger, the triangle is obtuse
4)
21 + 28 > 35 It is a triangle
21² + 28² = 35²
441 + 784 = 1225
1225 = 1225
Since the hypotenuse is equal to the legs, it's a Right triangle
Help help thank you
Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS WILL GIVE BRAINLIST
Answer:
square root of 338 or 18.38
Step-by-step explanation:
since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38
An architect’s blueprint for a new house shows the kitchen being 7 inches wide. If the scale used to create the blueprint is 0.5 in. = 1 ft, what is the actual width of the kitchen?
Is (4,3) a solution to the following system?
X-y=4
2x+y=5
(1 Point)
Yes
Οr
No
(Worth 10 points)
Answer:
No, it is not a solution
Step-by-step explanation:
Given
[tex]x - y = 4[/tex]
[tex]2x + y = 5[/tex]
Required
Is (4,3) a solution?
(4,3) implies that: [tex]x = 4\ y =3[/tex]
So:
[tex]x - y = 4[/tex]
[tex]4 - 3 = 4[/tex]
[tex]1 \ne 4[/tex]
Because 1 and 4 are not equal, then (4,3) is not a solution
help would be v appreciated thx :)
Answer:
Step-by-step explanation:
PLEASE HELP ME 30 points!!!
Multiple Choice
Eighteen students in a class play baseball.
Seventeen students in the class play basketball.
Thirty students in the class play either or both sports
Select the Venn diagram that shows the number of students who play basketball and baseball.
Answer:
A
Step-by-step explanation:
its a bec count how many student are their an see if they add IP to 30
The Venn diagram which shows the number of students who play basketball and baseball is option A.
What is Venn Diagram?Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.
Let A denotes the students playing baseball and B denotes the student playing basketball.
N(A) = 18
N(B) = 17
N(A ∪ B) = 30
We know,
N(A ∩ B) = N(A) + N(B) - N(A ∪ B)
= 18 + 17 - 30
= 35 - 30
= 5
Number of students who play both baseball and basketball = 5
Number of students who plays only baseball = 18 - 5 = 13
Number of students who plays only basketball = 17 - 5 = 12
This is shown in A.
Hence the correct option is A.
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Please show your work
Answer:
9(3+c+4)=
27+9c+36=
63+9c=
Step-by-step explanation:
9(3+c+4)=
27+9c+36=
63+9c=
Sine divided by Cosine is equal to Tangent. True or false?
Answer:
True
Step-by-step explanation:
HELP!!!!! WILL GIVE BRANLIEST !!!!!
Answer:
F = (-2,4); E = (-2,0); D = (2,0)
Step-by-step explanation:
F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.
someone please help thanks
Answer:
Don't take my word for it because I havent dont this in a while but I believe it is the top right
Will mark brainlest Thanks
Answer:
the answer is d
Step-by-step explanation:
Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the
test? Round to the nearest tenth if necessary
Answer:
25 questions,
$18.75
Step-by-step explanation:
Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.
1. 84%, or 21 questions of Roy's test were correct.
Let's set the number of questions on the test as "x". We can then write this equation:
84% * x = 21
Simplify.
0.84 * x = 21
Divide both sides by 0.84
x = 25
There were 25 questions on the test.
2. Cheesecake Factory question
We need to find 15% of 125.
15% * 125 =
0.15 * 125 =
18.75
They need to leave a $18.75 tip.
I hope this helps! Feel free to ask any questions!
If l=3, w= 3, and h= 5, what is the volume of this box
Answer and Step-by-step explanation:
To find the volume, we multiply the length by the width by the height for a rectangular prism (aka the box).
length = l = 3
width = w = 3
height = h = 5
Now, we multiply each together.
3 × 3 × 5
9 × 5
45
The volume of the box is 45.
#teamtrees #PAW (Plant And Water)
Answer:
the volume of the box would be 45
Step-by-step explanation:
If 60 minutes equals one hour, which expression would you use to find the number of
hours in 240 minutes?
work out the circumference of this circle
give your answer in terms of pi
Answer:
37.68
Step-by-step explanation:
Well, the first thing first is to know the outline of the question. So I made sure I knew the diameter. In this case we didn't, so I multipilied 6 by 2 and got 12. Then I multipyed 12 by 3.14 to get 37.68
Helppppppppppp I have 3 minutes
Answer:
It definitely is linear, and it is a straight line
Step-by-step explanation:
Try using desmos, it may help
Answer:
A) it is linear and it is a straight line
Step-by-step explanation:
it is a linear equation. It will be straight
y=mx+b is linear
Please help me :) I will give Brainiest to whoever does! PLEASE HURRY
Answer:
18.33
Step-by-step explanation:
