Answer:
a
[tex]A = \$66 \foot [/tex]
b
tex]C(10)' = \$60 / feet[/tex]
c
[tex]C(10)' = \$79.696 \ feet [/tex]
Step-by-step explanation:
From the question we are told that
The price per square foot of a floor tile is [tex]p = \$ 3[/tex]
The cost of shipping is [tex]s = \$ 20[/tex]
The current length of the square bathroom is x = 10 ft
The new length is [tex]x_ 1 = 12 \ ft[/tex]
Generally the equation representing the cost of the square tile is mathematically represented as
[tex]C(x) = 3x^2 + 20[/tex]
Generally the average rate of change of cost is mathematically represented as
[tex]A = \frac{ cost \ for\ a \ 12 feet \ bathroom - cost \ for\ a \ 10 feet \ bathroom }{12 feet - 10 feet}[/tex]
Generally the cost for flooring a 12 feet square bathroom is mathematically represented as
[tex]C(12) = 3(12)^2 + 20[/tex]
=> [tex]C(12) = \$ 452 [/tex]
Generally the cost for flooring a 10 feet square bathroom is mathematically represented as
[tex]C(10) = 3(10)^2 + 20[/tex]
=> [tex]C(10) = \$320[/tex]
So
[tex]A = \frac{ 452- 320 }{12 feet - 10 feet}[/tex]
=> [tex]A = \$66 \foot [/tex]
Generally the instantaneous rate of change of cost is obtained by the differentiating the cost function as follows
[tex]C(x) = 3x^2 + 20[/tex]
[tex]C(x)' = \frac{dC(x)}{dx} = 6x[/tex]
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
[tex]C(10)' = 6(10)[/tex]
=> [tex]C(10)' = \$60 / feet[/tex]
Generally given that the new cost function is
[tex]C(x) = 20(1 + sinx) + 3x^2[/tex]
Now the instantaneous rate of change of cost will now be
[tex]C(x)' = 20cos(x) + 6x[/tex]
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
[tex]C(10)' = 20cos(10) + 6* 10 [/tex]
=> [tex]C(10)' = \$79.696 \ feet [/tex]
Please Help!!!!
∠A and ∠B are vertical angles with m∠A=x and m∠B=4x−30.
What is m∠A?
Answer:
m<A=10
Step-by-step explanation:
I left the image below to show my work of how i got to that answer. I hope this helps!
We know vertical angles have same measure!
Thus!
A = B
=> X = 4X -30
=> 3X = 30
=> X = 10
Thus measure of angle A is 10°What is the volumn of a shoe box that is 15 x 10 x 8 =
Answer:
12 inches
Step-by-step explanation:
[tex]1200^{3}[/tex] units
15 * 10 * 8 = 1200
Five girls and two boys are standing in a line randomly. What is the probability that two boys are next to each other?
========================================================
Explanation:
Let's say the teacher pulls the two boys out of the line, and stands in their place. So we have 5 girls and 1 teacher making 6 people total.
There are 6! = 6*5*4*3*2*1 = 720 different permutations here. Order matters. This involves the teacher, so let's have him/her step out of the line and have the two boys replace the teacher's position. This guarantees the boys stick together. For any permutation, we have 2 different ways to arrange the boys. So we have 2*720 = 1440 different ways to arrange the students so that the two boys are next to each other.
This is out of 7! = 7*6*5*4*3*2*1 = 5040 different permutations overall (we're arranging 5 girls+2 boys = 7 people).
The probability we're after is going to be 1440/5040 = 2/7
--------
Or you could see it like this
1440 = 2*6!
5040 = 7! = 7*6!
So,
1440/5040 = (2*6!)/(7*6!)
1440/5040 = 2/7
Someone please help. If you don’t want to answer all that’s fine
Answer:
1. ) Plane ABC
2.) Segment AD
3.) Segment DE
4.) Segment AC
I'm sorry I don't know how to complete the 2nd half, but I hope these help. :)
Estandieu's cell phone plan includes 4 GB of data. On the 2nd day of his 31 day billing
cycle he received a text message from his service provider that he has already used
16% of his data. At this rate, will he use more than 4 GB this month?
Answer:78
Step-by-step explanation:
What is the value of x in the equation below? Round to the nearest hundredths place.
0.45 (x + 1.6) + 5 x = 18
3.01
3.17
36.44
38.4
Answer:
the answer is "B"
Step-by-step explanation:
took da quiz
Answer:
B
Step-by-step explanation:
if a man pay #357 for a book,how much will he pay for 78 books?
Answer: 27,846
Step-by-step explanation: 357 x 78 = 27,846
Answer:
$27846
Step-by-step explanation:
One book cost = $357
So, for 78 books, it will be $357 * 78
=> $27846
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
match each retirement planes to it's description
Answer:
1. 401(k)
2. IRA
3. 403(b)
Step-by-step explanation:
1. 401(k) is a employer-sponsored defined-contribution pension account
2. IRA stands for individual retirement account (hence individual)
3. 403(b) is a tax-advantaged retirement savings plan
hope this helps!!
Answer:
1.401k
2.425k
3.740k
Step-by-step explanation:
hehe naisip ko lang haha
Choose the more precise measurement A 5.7 yd B) 5.89 yd
When the unit digits are the same , we have to look at the decimal places . Since the unit digits in 5.7 and 5.89 are same , which is 5 , let us look at the decimals . As 5.89 has more decimal digits when compared with 5.7 , we say that the measurement 5.89 has more precision .
Therefore , 5.89 us has more precision .
What P:X equals 4 let q:y equals -2 which represents if x = 4 then y = -2
Answers are as followed
A. p V q
B. p V q
C. p -> q
D. p q
Answer:
p - > q is a = 4 then y = 3 equals
Ms. Lee's monthly bank statement shows an ending balance of $ 1 , 254.78 . She had one outstanding deposit of $ 352.21 and there was one outstanding check for $ 125.39 . Which of the following should the balance be in her checkbook register?
Estimate by rounding the first number to the nearest ten and the second number to the nearest hundred. 19 Х 307 II ? Х ? = ?
Answer:
6,200
Step-by-step explanation:
19-20
307-310
310 x 20= 6,200 or 20 x 310= 6,200
How would I do this
Answer:
15
Step-by-step explanation:
Since the two triangles are similar you can use the ratio 6/9 = 10/x. Then you would cross multiply. 6x=90. 90/6=15. So the answer is 15
Write the ratio: 10 to 2 as a fraction in lowest terms.
Answer:
[tex]\frac{5}{1}[/tex]
Step-by-step explanation:
10:2 would be written as [tex]\frac{10}{2}[/tex] in fraction form.
We can simplify this fraction to 5 to 1.
[tex]\frac{10}{2}=\frac{10/2}{2/2}=\frac{5}{1}[/tex]
Hope this helps.
At 8 a.m. the temperature was -14ºF. By noon, the temperature was 12ºF. Find the difference in temperature. Did it rise or drop?
Answer:
Difference=26 degrees
It rose
Step-by-step explanation:
Answer: The difference is 28 degrees and the temp. increased or was raised.
Step-by-step explanation:
Solve -12t ≥-6
.......
Answer:
t=2
Step-by-step explanation:
5. Jaxson was filling his pool. When he started, it already contained 486 gallons. He filled it for
95 minutes with water coming out of a hose at a rate of 8.4 gallons per minute.
(a) How many gallons of water are in the pool at the end of 95 minutes?
Answer:
1284 gallons
Step-by-step explanation:
95 minutes*8.4 gallons=798 gallons
486 + 798 = 1284 gallons after 95 minutes
An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection of 9 of them. If a student has figured out how to do 13 of the problems, what is the probability the he or she will answer correctly
all 9 questions? =.0147
atleast 8 questions ?
Answer:
The probability the he or she will answer correctly is 1.5%
Step-by-step explanation:
Find two numbers if their ratio is 9:11 and their difference is 6
Answer:
27 , 33
Step-by-step explanation:
Let the numbers be 9x & 11x
so
11x-9x=6
2x=6
x=3
First number is =9x=9*3=27
Second number is =11x=11*3=33
plz mark as brainliest if it helps
Answer:
27 and 33
Step-by-step explanation:
Here I would set up a system of equations:
1. I make the proportion 9/11=x/y and this cross-multiplies into 9y=11x
2. I use the other part of the problem to make my second equation, and since y is greater than x (assumed by looking at first step) this second equation is y-x=6
3. now, I will use substitution, if y-x=6, then y=x+6, so 9(x+6)=11x
4. simplify, 9x+54=11x
5. solve, 2x=54, x=27, y=x+6=33
. A recipe calls for 32 ounces of pasta to be used. How many pounds of pasta is that if 1 ounce equals about 0.06 pounds?
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If 1 ounce is equal to 0.06 pounds then 32 ounces of pasta is equivalent to 1.92 pounds of pasta.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A recipe calls for 32 ounces of pasta to be used.
Also given that 1 ounce is equal to 0.06 pounds.
Therefore, To convert the amount of pasta to pounds from ounces we have multiply the unit rate which is (32×0.06).
= 1.92 pounds.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
Tara bought 2 bottles of juice each day for 18 days. On the 19th day, Tara bought 7 bottles of juice.
Choose the expression that matches the description.
A (2 × 18) − 7
B (2 × 19) + 7
C (2 × 18) + 7
Can anyone help me please?? Thank you.
Answer:
okay well the total distance is 3 and 1/3 km and the speed that it was for him to go downstream was 2/3 km per hour
You start at(-5, -4) you move down 1 unit and up 1 unit where do you end?
Answer:
-5,-4
Step-by-step explanation:
-5,-4
down 1 unit: -5,-3
up 1 unit: -5,-4
An expression is shown below if this expression is equivalent to 60, what must be the value of a? A.) 3 B.) 4 C.) 9 D.)16
Answer:
Option (A)
Step-by-step explanation:
Given expression is,
[tex]5\sqrt{48a}=60[/tex]
Squaring on both the sides of the equation,
[tex](5\sqrt{48a})^2=(60)^2[/tex]
25(48a) = 3600
1200a = 3600
By dividing the equation by 1200,
a = [tex]\frac{3600}{1200}[/tex]
a = 3
Therefore, Option (A) will be the answer.
What is the length of the hypotenuse of the triangle?
Answer:
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. For example, if one of the other sides has a length of 3 (when squared, 9) and the other has a length of 4 (when squared, 16), then their squares add up to 25. The length of the hypotenuse is the square root of 25, that is, 5.
Step-by-step explanation:
Hope this helps! <3
A fruit company includes 1.655 ounces of pineapple juice in a 6.75 ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice?
Find the common ratio of the geometric sequence 20,80,320,...
Answer:
1:4
Step-by-step explanation:
all of the numbers are being multiplied by 4
Write an equation in point-slope form for the line. Slope is -2 and (1, 1) in on the line.
Answer:
The point-slope form is y - 1 = -2 (x-1)
Step-by-step explanation:
The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.80 meters and the sample standard deviation was 1.19 meters.
Construct a 95% confidence interval (in meters) for μ, the population mean following distance while talking on a mobile phone for the population of taxi drivers. (Round your answers to three decimal places.)
Answer:
CI = (3.462, 4.138)
Step-by-step explanation:
We are given;
Sample mean; x¯ = 3.8
Sample standard deviation; s = 1.19
Sample size; n = 50
DF = n - 1 = 50 - 1 = 49
Confidence level; CL = 95%
Significance level = (1 - 0.95)/2 = 0.025
Now,from the table attached using DF = 49, significance level = 0.025, one tail and by interpolation, we have; t = 2.01
Now, formula for confidence interval is;
CI = x¯ ± t(s/√n)
CI = 3.8 ± 2.01(1.19/√50)
CI = 3.8 ± 0.338
CI = (3.8 - 0.338, 3.8 + 0.338)
CI = (3.462, 4.138)
rewrite the function and isolate Y
