30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
A rectangle has one side of 10cm
We need to find how fast is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
This can be written as A=10x
Now differentiate with respect to t.
dA/dt=10 dx/dt
increasing at 3cm per minute
dx/dt=3
dA/dt=10 (3)
dA/dt=30
Hence 30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
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x-5/3=1 in the simplest form
[tex]\\ \sf\longmapsto x-5/3=1[/tex]
[tex]\\ \sf\longmapsto x=1+5/3[/tex]
[tex]\\ \sf\longmapsto x=3+5/3[/tex]
[tex]\\ \sf\longmapsto x=8/3[/tex]
Done
[tex]\sf \longmapsto \: x- \dfrac{5}{3} =1[/tex]
Simplify both sides of the equation[tex]\sf \longmapsto \: x + \dfrac{ - 5}{ 3} = 1[/tex]
Add 5/3 to both sides[tex]\sf \longmapsto x + \dfrac{ - 5}{3} + \dfrac{5}{3} = 1 + \dfrac{5}{3} [/tex]
[tex]\sf \longmapsto \: x = \dfrac{8}{3} [/tex]
[tex] \boxed{\sf { \red{ x = \dfrac{8}{3}}} }[/tex]
Kross bought 3 cans of paint. The total was less than $60. How much was each can?
inequalities btw!!
Step-by-step explanation:
two equations if you want an inequality
y = -3x + 60
3x <= 60
graph it and you get x = 20 which is your answer
what is coefficient of 10 and a constant of 5?
Answer:
10x+5.................
Find the size of angle XZY.
Give your answer to 1 decimal place,
Z
15 cm
Y
6 cm
Answer:
23.6 degrees
Step-by-step explanation:
In a class of 35 student 19 takes history and 12 take Economic.if 5 take both subject how many take neither?
i need help, I need to find the answer to my math problem, The question is "what is 2+2" im struggling, Please help ASAP. Thank You.
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Thx for the points:) have a nice day
Given: 3x < 3.
Choose the solution set.
{x | x > 0}
{x | x < 0}
{x | x > 1}
{x | x < 1}
if you know this can you help ihave to have an 85 or above in math
Answer:
Divide 3 on both sides to get x < 1
Step-by-step explanation:
Hope this helps :)
A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500. The counselor converts the frequency table to a conditional relative frequency table by column. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0. 12, 0. 88, 1. 0. The third column is labeled lower than 90 with entries 0. 28, 0. 72, 1. 0. The fourth column is labeled total with entries X, Y, 1. 0. What is the value of X? 0. 16 0. 20 0. 24 0. 40.
Answer:
it's 0.24 because if you do 500/120 in the first data table it gives u 0.24 and bc I just took the test
The frequency table is used to find the relative frequency. The value of x is 0.24. Option C is correct.
How to find the relative frequency?Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
The given data from the table as follows;
The subgroup count of the column = 120
The total count = 500
Let x be the relative frequency
The relative frequency is found as;
[tex]x = \dfrac{120}{500} \\\\x = 0.24[/tex]
Therefore, the value of x is 0.24. So, Option C is correct.
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Please show work, I have no idea how to do this
Answer:
161 Remainder 4
Step-by-step explanation:
trust me on this
Answer:
_
161.2 BUT if with remainder it is 161 with a remainder of 4
Step-by-step explanation:
By the way the 2 is a repeating number so make sure to add that line at the top.
Kayla is serving vegetables at a soup kitchen. She has 18 carrot sticks and 12 baby potatoes that she
wants to divide evenly, with no food left over. What is the greatest number of plates Kayla can
prepare?
A:18
B:12
C:6
D:3
Answer:
C:6
Step-by-step explanation:
Keith spent $8 on tomatoes. How many did he get?
Answer:
its got 6
Step-by-step explanation:
I REALLY DONT KNOW
Answer:
Step-by-step explanation:
Let t be the unit cost of the tomatoes: e. g., t = $1.25/lb.
If Keith spent $8 on tomatoes, the number he bought would then be
$8
------------- = 6.4 lb of tomatoes
$1.25/lb
Of course he couldn't buy 0.4 tomato, but this method of calculating how many tomatoes he could buy theoreticallyl is correct.
The general formula would be
$8
------------ and the end result would be the number of pounds Keith could
$t / lb buy for $8.
What are the values of the two angles?
Answer:
the angle 3x is 42 degrees, the angle 12x-30=138 degrees
Step-by-step explanation:
first, write an equation to represent the problem.
3x+(12x-30)=180
3x+12x=210
15x=210
x=14
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in 2 steps, one being Theory and the second being Solving. I'll start off with Theory.
Theory
There are many theorems in Geometry, from the very simple to the very complex, you also have got the standard information that is usually known by many people.
In this case, we can see that it is a Supplementary Angle. We know that Supplementary Angles add up to 180 degrees and Complementary Angles add up to 90 degrees.
Now that we know that we can solve the problem.
Solving
So, we know that both angles have to add up to 180 degrees because the line is a straight line and that means that the angles on it must be 180 degrees.
Since we know this, we can state the following equation:
[tex]3x+12x-30=180[/tex]
We can say this due to the rule of Supplementary angles adding up to 180 degrees.
We can now use Algebra to simplify the equation:
[tex]3x+12x-30=180\\3x+12x=210\\15x=210\\x=14[/tex]
After doing algebra we can see that x s equal to 14 degrees, we can check our answers by putting that back into the equation.
[tex]3(14)+12(14)-30=180?\\42+168-30=180?\\210-30=180?\\180=180[/tex]
We have proven that our answer is correct, therefore the answer is [tex]x=14[/tex] degrees.
Cheers!
Which rate describes a unit rate of 6:1? A.) 12 tires for 3 cars B.) 30 miles for 5 hours C.) $35 for 5 set of markers D.) 45 miles in 9 hours
Answer:
B.) 30 miles in 5 hours
Step-by-step explanation:
If you were to simplify all the ratios:
A) 12:3 divided by 3/3 is 4:1
B) 30:5 divided by 5/5 is 6:1
C) 35:5 divided by 5/5 is 7:1
D) 45:9 divided by 9/9 is 5:1
B is 6:1.
How many pounds is a pepper?
I really need to know.
Answer:
4-5 ounces or 113-142 grams
Step-by-step explanation:
Triangles ABC has vertices A(1,-1) B(1,-5) and C(5,-5). A dilation with a scale factor of 0.25 and true center at (-3,3) is applied to the triangle. What are the coordinates of A’B’C’ in the dilated image?
Answer:
A'(-2, 2)B'(-2, 1)C'(-1, 1)Step-by-step explanation:
For scale factor k and center of dilation (p, q), the transformation is ...
(x, y) ⇒ (kx +(1-k)p, ky +(1-k)q)
For k=1/4 and (p, q) = (-3, 3), the coordinates are transformed to ...
(x, y) ⇒ (1/4x -9/4, 1/4y +9/4)
Then the preimage points are dilated to ...
A(1, -1) ⇒ A'(1/4 -9/4, -1/4 +9/4) = A'(-2, 2)
B(1, -5) ⇒ B'(1/4 -9/4, -5/4 +9/4) = B'(-2, 1)
C(5, -5) ⇒ C'(5/4 -9/4, -5/4 +9/4) = C'(-1, 1)
Pleaaas help meeeee pleasssss
Answer:
For the first row, it's 6, 12, 18, 24, 30
Second row: 4, 8, 12, 16, 20
Step-by-step explanation:
You're just counting by multiples of 6 for the first row and 4 for the second row. Denominator means the number underneath the fraction line
Which is the simplified form of the expression ? A. B. C. D.
What is dehydration reaction ?
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Step-by-step explanation:
i dont get it can u guy help me
Answer:
y = x + 8
Step-by-step explanation:
Let's build the equation:
There are 8 entries to start
y = 8
Adding 1 entry every day
y = x + 8
Solve the equations. 81^x^2=27^x
Answer: 81ײ=27× x = 6
A fruit basket contains oranges and grapefruits. 1/3 of oranges and 1/4 of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket before you threw out the spoiled ones?
Answer:
Below.
Step-by-step explanation:
1/3 is equivalent to 4 oranges so number of oranges = 3 * 4 = 12.
In the same way there are 7 * 4 = 28 grapefruit.
Total pieces of fruit = 12 + 28
= 40.
can someone help me please i need to get this right
Answer:
If there are 2 quarters for every 3 nickels,
then there are [tex]45*\frac{2}{3} =30[/tex] quarters.
If there are 2 dimes for every quarter,
then there are [tex]30*2=60[/tex] dimes.
If the number of pennies and nickels together are equal to the number of dimes, then there are [tex]60-45=15[/tex] pennies.
Which sentence in this conclusion paragraph most clearly reminds the reader of the main points?
(1) As the evidence has shown, Faith is not only Goodman Brown's wife but also a symbol of his weakening faith. (2) He ignores her advice not to leave Salem, and he loses her in the woods, two events that show that his faith is fading
(3) Indeed, the ending of the story suggests that his faith is never restored.(4) In many ways, Goodman Brown's relationship with faith and Faith is a warning.
(A. Sentence 1
( B. Sentence 4
( C. Sentence 2
( D. Sentence 3
No links.
Answer:
Step-by-step explanation:
I’m doing this too right now and can’t figure it out
The answer is A. Sentence 1
GEOM AGAIN::: PLS ANSWEE QUICK.
Answer:
multiplication property
The answer is Reflexive property
Please help me I do not understand what to do or what the answer is.
Answer:
the slope is
2/3x+2
Hope This Helps!!!
Help?
I tried : 3b^2(2b-1)(2b+1) and it was wrong ):
Answer:
b(3b−10)(b−1)
Step-by-step explanation:
b(3b−10)(b−1)
This one as well, does anyone know the answer?
what is (x-2) (3x-4)=
a.3x² - 6x-8
b.3x² - 2x - 8
c.3x² + 10x + 8
d.3x² - 10x + 8
Answer:
D. 3x^2-10x+8
Step-by-step explanation:
[tex] \: \: \: \: \: [/tex]
D. 3x²- 10x + 8hope it helps
refer to the attachment
[tex] \: \: \: \: \: [/tex]
100 PTS! HELP QUICK!!
Answer:
x=1
Step-by-step explanation:
The graph shows which inequality? The vertex is (-4, -3)
Refer to the attachments.