Given :
The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 7 cm and the width is 4 cm .To find :-
how fast is the area of the rectangle increasing?Solution :-
As we know that :-
A = lbTo find the rate :-
d(A)/dt = d(lb)/dt .Differenciate :-
dA/dt = l (db/dt ) + b (dl/dt )Substitute :-
dA/dt = 6*7 + 4* 8 dA/dt = 42 + 32 cm²/s dA/dt = 74 cm²/sPlease help me out I am not good at math so I would very appreciate
The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumference of circle B and circle A (in cm)?
9514 1404 393
Answer:
2πr cm
Step-by-step explanation:
The circumference of a circle of radius r is ...
C = 2πr
For a radius of (r cm), the circumference is ...
A = 2π(r cm) = 2πr cm
For a radius of (2r cm), the circumference is ...
B = 2π(2r cm) = 4πr cm
Then the difference between the circumferences is ...
B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference
Mr. Thompson asked 50 students were about their
favorite ice cream.
1/5 of the students chose Vanilla
1/2 of the students chose Chocolate The remaining chose Strawberry
How many students chose Strawberry as their favorite flavor?
What decimal represents the students who
prefer cookie dough?
Answer:
0.12 chose strawberry as their favorite
Which expression is equivalent to √10/4√8?
Answer:
A
Step-by-step explanation:
A
As part of an environmental impact study, a power company wants to estimate the difference in mean water temperature between the discharge of its plant and the offshore waters. How many sample measurements must be taken at each site to estimate the true difference between means to within .2°C with 95% confidence? Assume that the standard deviation in readings is about 1.5°C at each site and the same number of readings will be taken at each site.
Using the z-distribution, it is found that 217 sample measurements should be taken at each site.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Estimate of the standard deviation of 1.5, thus, [tex]\sigma = 1.5[/tex].
We want the sample for a margin of error of 0.2ºC, thus, we have to solve for n when [tex]M = 0.2[/tex].
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.2 = 1.96\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.2\sqrt{n} = 1.96(1.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(1.5)}{0.2}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96(1.5)}{0.2})^2[/tex]
[tex]n = 216.1[/tex]
Rounding up:
217 sample measurements should be taken at each site.
A similar problem is given at https://brainly.com/question/17039768
please help me plsssssss! asappp. I'll mark brainlest and give points
Answer:
Step-by-step explanation:
1)a) Abscissa of O 0
Abscissa of A 4
Abscissa of B -3 {opposite of 3}
Abscissa of C 3 {3 is the only positive integer like A}
Abscissa of D -4.5
Abscissa of E -6
Abscissa of F -1 {Midpoint of AE = (6+4)/2 = 10/2 = 5th number from -6 or 4}
b) OB = 3 units
DA = 8.5 {4.5 +4 = 8.5}
susan and teo play soccer susans team plays every five days and teos team plays every six days when will they play on the same day
Answer: On day 30
Step-by-step explanation:
1. skip count by both 5 and 6 and look for the first number they have in
common 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
6, 12,18, 24, 30, 36, 42, 48, 54, 60
30 is the first number in common
angela neli are going to the movies
Answer:
thats good what are you waatching?
Step-by-step explanation:
Hope that helps
Evaluate.
0.2^3÷0.4⋅60+3.6÷1.2
Enter your answer as a decimal
Answer:
what that's grade? ha
that's first year college
I bought 3,000,000 shares at .000007. what would my gain be if it reached .01 .
If 1 share had an initial cost of $0.000007, then 3,000,000 shares would be worth
(3,000,000 shares) × ($0.000007/share) = $21
If the price increases to $0.01 per share, then the same number of shares would have a value of
(3,000,000 shares) × ($0.01/share) = $30,000
So you've gained a net profit of $30,000 - $21 = $29,979, which corresponds to a
$29,979 / $21 = 1,427.57 = 142,757%
increase in value.
What are the domain and range of the function
Answer:
2nd option
Step-by-step explanation:
domain: x<5 (-∞ , 5)
range: (-∞ , ∞)
Which is the best description of the data in the
histogram?
O Students mostly studied about 6 hours.
O Students who studied longer did better on the test.
O Students' study times did not vary by much.
O The majority of students studied between 4 and 8
hours.
Which is the best description of the data in the
histogram?
O Students mostly studied about 6 hours.
O Students who studied longer did better on the test.
O Students' study times did not vary by much.
O The majority of students studied between 4 and 8
hours.
Answer: D
Step-by-step explanation:
EDGE22
A truck can be rented from company A for $100 a day plus $0.60 per mile. Company B charges $40 a day plus $0.90 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A less than rental cost of Company B?
Answer: past 200 miles
Step-by-step explanation:
What is the answer to this question number 2
Answer:
B
Step-by-step explanation:
number of adults=a
number of children=1
cost of adult tickets=$9 per adult
cost of children's tickets=$6 per child
Total cost=$78
9(a)+6(1)=78
9a+6=78 B
do have a great day ahead...
Write the expression using exponents. g⋅g⋅g⋅g⋅g
To Baker’s plus their contents have a mass of 180.4 g the total mass of the contents is 56.8 g each Baker has the same mess right and solve an equation to find the mass of one bigger
cuanto es 21:45 dividido a 7:15?
Answer:
Entraría 3 veces.
Step-by-step explanation:
Podemos probar esto encontrando el máximo común divisor entre 21 y 45
21: 1,3,7,21
45: 1,3,5,9.15,45
Encontramos que 3 es el máximo factor común. Entonces dividimos ambos números por 3. Para obtener 7:15.
Can anyone help me on this question? Thank you so much! ( ¿Alguien puede ayudarme con esta pregunta? ¡muchas gracias! )
Answer:
3 cups of milk are required for each cup of flour.
Answer:
3 cups of milk
Step-by-step explanation:
1 cup divided by a 1/2 cup is 2.
1 1/2 cups multiplied by 2 is 3 cups.
Tyler has two maps of Ohio
Answer:
that’s nice good for him
Please help
Solve for w
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 4. If there were 2874 yes votes, what was the total number of votes?
Answer:
6702
Step-by-step explanation:
2874/3*(3+4)=6702
HELP PLEASEEE I WILL GIVE BRAINLIEST
Answer:
140 degrees.
Step-by-step explanation:
180-110 is 70. Bottom triangle is isosceles, meaning that the bottom left corner is also 70 degrees. The top angle in the bottom triangle is 180-70-70, 40. Flip it to the other side and the bottom angle of the top triangle is 40. Again, an isosceles triangle, so that the top left angle of the top triangle is also 40. 180-40 is 140.
Write and solve a proportion to find the perimeter of a square when its side length is 12.
Ty
Its 12 points
Answer:
48
Step-by-step explanation:
setup a ratio using the length and perimeter then reduce it.
[tex] \frac{2}{8} [/tex]
reduces to
[tex] \frac{1}{4} [/tex]
the numerator is length and denominator is perimeter. setup the proportion
[tex] \frac{1}{4} = \frac{12}{p} [/tex]
cross multiply
[tex]1p = 48[/tex]
1 times p = p, so the answer is 48
help help help help thankyou
Answer:
3.4×10⁴
Step-by-step explanation:
1.6×10⁴=1.6×10000=16000
5×10⁴=5×10000=50000
5000-16000=34000
=3.4×10⁴
The elevator is a business center has a weight limit of 1800 pounds assume the average person weighs 160 pounds and has 3 pounds of items with them what is the greatest number of people that can ride the elevator at one time
1. In each table, determine if y is proportional to x. Explain why or why not.
1.
x
y
2.
х
y
3.
х
y
3
12
3
15
6
4
5
20
4
17
9
6
2
8
LO
19
12
8
8
32
6
21
3
2
1.
2.
3.
everyone was a little confused sooo this is better!!
Answer:
3 is the answer
Step-by-step explanation:
ooooooooooooooooooooo
Solve the inequality
X/3+9> 14
[tex]\\ \sf\longmapsto \dfrac{x}{3}+9>14[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{3}>5[/tex]
[tex]\\ \sf\longmapsto x>3(5)[/tex]
[tex]\\ \sf\longmapsto x>15[/tex]
Answer:
the answer is x>15
Step-by-step explanation:
Y=arccos(1/x)
Please help me do them all! I don’t know derivatives :(
Answer:
sorry bro I even don't know coz I am class 7
mowed 3 yards for $35.00
Answer:
AYO HE LOOKIN SPIFFY
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
sorry i don't know
Step-by-step explanation:
sorry