Answer:
-39 cm²/h
Step-by-step explanation:
The area of the rectangle is A = hw where h = height and w = width.
So the rate of change of area with respect to time is
dA/dt = d(hw)/dt
dA/dt = hdw/dt + wdh/dt
Given that at an instant h = 3cm, w = 8 cm and dh/dt = + 11 cm/h and dw/dt = -9 cm/h(negative since it is decreasing)
So, dA/dt = hdw/dt + wdh/dt
dA/dt = 3 cm × (+11 cm/h) + 8 cm × (-9 cm/h)
dA/dt = 33 cm²/h - 72 cm²/h
dA/dt = -39 cm²/h
11. There are 14 boys and 16 girls in Mr. Allen's
class. What is the ratio of girls to the total
number of students in the class? Write the
ratio in 3 ways.
Answer:
16 : 30, 16 to 30, 16/30
Step-by-step explanation:
Answer:
The ratio of boys to girls in the simplest form is 7:8
Step-by-step explanation:
There are 14 boys and 16 girls in a class. The ratio of boys to girls in the class is 14:16 or 7:8.
(1+h): - 1
A. lim
h>0
h
f(0) =
х
a =
1
B. lim
h>0
cos(1 + h) +1
h
f(3) =
a =
7T
5(4+ h)" - 5120
C. lim
h->0
h
f(x) =
a =
4
o
D. lim
h 0
e4h - 1
h
f(x) =
a =
e
Х
Pls take a look at the picture
Each of these limits correspond to the derivative of some function f(x) at a point x = a.
Recall the limit definition of a function f(x) :
f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h
Then if x = a, we get
f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h
From here, it's easy to identify what each function and point should be:
(a) f (a + h) = (1 + h)¹ʹ³ → f(x) = x ¹ʹ³ and a = 1
(that's a 1/3 in the exponent)
(b) f (a + h) = cos(π + h) → f(x) = cos(x) and a = π
(c) f (a + h) = 5 (4 + h)⁵ → f(x) = 5x ⁵ and a = 4
(d) f (a + h) = exp(4h) = exp(4 (0 + h)) → f(x) = exp(4x) and a = 0
(where exp(x) = eˣ )
Express 12/7 as a mixed number
Answer:
1 5/7
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Answer:
[tex] \frac{12}{7} = 1 \frac{5}{7} [/tex]
Please answer these in a fraction form. Thank you have an AMAZING day!
1. 2/5 ÷ 3 1/10 = ?
2. 4 1/3 ÷ 4/7 = ?
3. 3 1/6 ÷ 9/10 = ?
4. 5/8 ÷ 2 7/12= ?
Answer:
use Photomath app to answer your question.
Factor
4y(3x+2)-2(3x+2)
Answer:
[tex]2(3x+2)(2y-1)[/tex]
Step-by-step explanation:
Hope I helped!
Answer:
(4y − 2)(3x + 2)
Step-by-step explanation:
4y(3x + 2) − 2(3x + 2) = (3x + 2)[4y − 2]
What is 5c - 3d - 12c + d - 6 written in simplest form
Answer:
the answer is -7c - 2d - 6
Step-by-step explanation:
Simplify the expression.
Hoped this helped!
brainly, please?
The required simplest form of the given expression is given as -7c -2d -6.
Given that,
To determine the simplest form of the given expression 5c - 3d - 12c + d - 6.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
= 5c - 3d - 12c + d - 6
Adding alike terms,
= -7c -2d - 6
Thus, the required simplest form of the given expression is given as -7c -2d -6.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Factor completely. Be sure to factor out the GCF when necessary. Select "Prime" if the polynomial cannot be factored.
Answer:
There is no problem to factor.
Step-by-step explanation:
-2 - 5r = 18
help mee
Answer:
r = -4
Step-by-step explanation:
-2 - 5r = 18
+2 +2
––––––––
-5r = 20
/5 /5
––––––
-r = 4
/-1 /-1
–––––
r = -4
Name another ordered pair that is on the graph
of the equation represented by the table.
HELP MEH ASAP PLS PLZ PLZ
Answer:
(5,30)
Step-by-step explanation:
That is the constant change in the y's as the x's increase by 1?
12 - 6 = 6
18 - 12 = 6
24 - 18 = 6
The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.
(5,30)
Simplify the following expression completely: v^13*v^14
____________________________
1.) Multiply:[tex]13+14=27[/tex]- When multiplying powers of the same base, all you have to do is add the exponents to multiply them.
So your answer is [tex]\bold{v^{27}}[/tex].
____________________________
A triangle has side lengths of (6p - 7) centimeters, ('7p - 2) centimeters, and
(69 - 9) centimeters.
Answer: 10
Step-by-st
the base of a triangular pyramid has a base of 3 inches and a height of 2 inches the height of the pyramid is 6 inches find the volume
Answer:
6
Step-by-step explanation:
3 x 2 =6
6 / 2 =3
3 x 6 = 18
18 / 3 = 6
So your answer is 6
Can some body help me with this
Answer:
1 is 11
3 is 12
5 is the same answer as 3
Step-by-step explanation:
for #1 the angle is 90 degrees and its asking to find x you can set up the equation by sayin 46+4x=90 you substract 46 by 46 and subtract 90 by 46 then you will get 4x=44 dived 4 on each side and you will get x = 11
for #3 the angle is equal to 180 you set up the eqation by saying 36+12x=180 you subtract 36 by itself and 180 by 36 then you will get 144 now your equation is 12x = 144 now divide 12x by 12 and 144 by 12 and you will get x = 12
Write the numerical co-efficient of each term of the following expressions:
A) − xyz – 3oy + 6yz +4
Answer:
Uncertain if the second term is 30 and not 3o. IF 30, then the coefficients are
-1, 30 and 6.
Step-by-step explanation:
Coefficients are numbers ahead of the variables (letters).
The number 4 is called a constant. A constant is not a coefficient.
The coefficient (number ahead of the letters) of -xyz is -1.
Hope this helps.
Find the value of x.
F
8
E
Х
Н.
Х
-
Answer:
Step-by-step explanation:
x = 8
given that (-7,-1) is on the graph of f (x) find the correponding point for the function f (x+1 )
Answer:
X=-7 so -7+1 is -6 hope this helps
A $129.50 stereo is discounted 40%.The next month the sale price is discounted 60%. Is the stereo now free if not what is the sale price?
Let’s see if any of you get it my teacher asked me this on Thursday I got it right. Must shows step-by-step explanation
Answer:
no, it is not free. $31.08 is the sale price
Step-by-step explanation:
1 - .4 = .6 –––––> paying 60% of original price with first discount
129.50 • .6 = $77.70
1 - .6 = .4 ––––––> paying 40% of the discounted price
77.70 • .4 = $31.08 is the sale price
George paid $49 for a pair of shoes that was on sale for 20% off the
original price. What was the original price of the shoes?
Answer:
58.8
Step-by-step explanation: Im pretty sure this is the answer but im sorry if im wrong UwU
The children at Colin Powell Middle School donated 400 can goods to help
feed the homeless. 100 of the cans were corn. When the children sort the
cans in boxes, what is the probability (in percent) of the first can pulled
being a can of corn?
Answer:
25%
Step-by-step explanation:
400 divided by 100 = .25 which is 25%
look back at the question on page 437. how does this tall tale explain changes in nature? provide evidence to support your answer from Paul Bunyan
Answer:
ayeee yooooo my guy someone is not gonna read the whole book for 5 points.
Step-by-step explanation:
i'm sorry but did you read to question?? you sure you did?
Find the slope of the line passing through the points (-7, 5) and (2,5).
Answer:
slope = 0
Step-by-step explanation:
Use formula to find the slope: m = (y2 - y1) / (x2 - x1)
Set (x1, y1) = (-7, 5)
Set (x2, y2) = (2, 5)
m = (5 - 5) / (2 - (-7))
m = (5 - 5) / (2 + 7) FYI, negative * negative = positive
m = 0 / 9
If you plot the coordinates, they'll lie on a horizontal line. Therefore, the slope of the line is 0.
HELP PLEASE IT IS NOT 1/5 AND IT IS NOT 20% OR 80%!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It would be 80% of the number. It would become 5/4 times smaller. I think.
Step-by-step explanation:
which graph represents the inequality x > 15
Answer:
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Anyone 100% know dis answer
Answer:
Rotational symmetry
Step-by-step explanation:
The rectangle rotated 180 degrees to get the transformed rectangle.
find each unknown. Double a known fact.
9 x 4=
Answer: 36
Step-by-step explanation:
Marsha bought a new car for $21,152.25.
The options she picked cost $2,150. The
sales tax was $1,007.25. What was the base
price of Marsha's car?
Answer:
17,995
Step-by-step explanation:
21,152.25 - (2,150 + 1,007.25) = 17,995
Answer:
$17,995
Step-by-step explanation:
If you want to find the base, find out how much it costs without the options and the sales tax as they're just taxes and etc added to the car.
2,150 + 1,007.25 = 3157.25 (Total amount of taxes)
21,152.25 - 3157.25 = 17,995
find the value of x please help
Will give brainliest
Simplify the expression 7(4p)
Answer:
28p
Step-by-step explanation:
7x4=28 and then you have to put the p after it.
Which could be the function graphed below?
f(x)= x-2
f(x)= VX-3+1
f(x) = 2x+4
f(x)= x + 1 + 8
Answer:
f(x) = √x - 2
Step-by-step explanation:
that graph is what the graph of a square root looks like translated 2 units down
since the translation is vertical, the -2 must be outside the square root
A person places $37700 in an investment account earning an annual rate of 5%,
compounded continuously. Using the formula V = Peșt, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 16 years.
Answer:
8,229,437 cents
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^n
Given
Principal invested = $37700
rate r = 5% = 0.05
Time t = 16years
Substitute into the formula
A = 37700(1+0.05)^16
A = 37700(1.05)^16
A = 37700(2.1829)
A = 82,294.37
Hence the amount of money, to the nearest cent, in the account after 16 years is 8,229,437 cents