Answer:
-0.02 gallons per mile
Step-by-step explanation:
You're in luck. The fuel consumption of the car is linear, and the slope - ie, the coefficent of the x term gives you the rate of change. In this case, it's -0.02 gallons per mile.
Clare finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in
terms of its radius r in centimeters. This is the graph Clare gets if she allows r to take on any value between 1.2 and 3.
The function that gives the surface area has the radius as a denominator.
The values r can take are; 0.1, 1, 2, and 3Reasons:
The given parameter are;
The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)
The function is used to plot the graph
The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3
The graph of a similar function representing the surface area is attached;
[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]
From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)
Therefore, Claire should use the a domain that gives a continuous graph,
given that r is a denominator of the function, by allowing the radius, r to
take on only natural number values (values larger than 0)
The domain is therefore; 0 < r < ∞
The values r can take should therefore be 0.1, 1, 2, and 3
Learn more about asymptotes here:
https://brainly.com/question/17257427
Represent the following expressions as a power of the number a where a≠0 a^2*(a^4)^3÷a^13
100 POINTS NOW
Answer:
aStep-by-step explanation:
[tex]a^2*(a^4)^3:a^{13}=[/tex][tex]a^2*(a^4)^3:a^{13}=\\a^{2 + 4*3-13}=[/tex][tex]a^{14-13}=[/tex][tex]a[/tex]Answer:
the answer is just a
Step-by-step explanation:
How to find number of combinations.
Answer: Remember, the formula to calculate combinations is nCr = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.
Step-by-step explanation:
find the least length of a rod which can be cut into exactly epual strips,each of either 36cm or 42cm in length
Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
Please help me solve this
how many solutions does  3x+9=25x+14 have?
Answer:
one solution
Step-by-step explanation:
3x + 9 = 25x + 14
-3x -3x
9 = 22x + 14
-14 - 14
-5 = 22x
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $26,780 . The variable costs will be $9 per book. The publisher will sell the finished product to bookstores at a price of $22 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer: 2,435
Step-by-step explanation:
trust
Each container on a cargo ship holds 60 boxes of furniture.
Which table shows the values for 60c, the number of boxes
in c containers?
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 300 360
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 280 320
B.
4
5
6
Number of Containers, C
Number of Boxes, 60C
240 350 460
C
Answer:
imagine cheating on your star assessment but same tho the answer is c
Step-by-step explanation:
because i solved it on paper
Answer:
Step-by-step explanation:
C
Find the circumference and the area of a circle with diameter 6 yd.
Use the value 3.14 for T, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
area = 28.27433
Circumference = 18.84956
Step-by-step explanation:
I hope that this helps!!
what is the approximate area of a circle with a radius of 11m?
Help is appreciated ty!!
Answer:
B and C
Step-by-step explanation:
Jane found multiples of 8 instead of factors and should've gotten 1, 2, 4, and 8 as her answer.
Hope this helps :)
Answer:
B& C
Step-by-step explanation:
hope it helps
solve the inequality 4x-3=2x+7
Answer: x=-2
Step-by-step explanation:
Add three to both sides of the equation
4x-3=2x+7
4−3+3=2−7+3
simplify
4=2−4
4−2=2x-4−2
simplify
2=−4
Divide both sides of the equation by the same term
2=−4
2/2=−4/2
=−2
Answer: x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.x=5
100 points if u get this right ty have a nice day !
Answer:
its 32 yards if I'm correct
Step-by-step explanation:
I'm not for sure but I remember doing something like this
what should be included in your financial plan to protect assets
Answer:
A trust could protect them. Buying liability insurance or an umbrella policy will also help protect assets in case you get sued.
Step-by-step explanation:
Sarah pays $48.00 each month to keep her house insured. If her house is valued at $223,050, about how much is Sarah paying per $100 in homeowners insurance annually? a. $0.13 b. $0.26 c. $1.55 d. $3.09
Answer:
The answer is B, $0.26
Step-by-step explanation:
$48 * 12 =$576
- 12 months in a year
$223,050 / $100 =$2230.50
$576 / $2230.50 =$0.26
Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?
PLZ PLZ PLZ explain step by step.
What is the slope of the line y=5-4x ?
Show your work
Answer:
-4
Step-by-step explanation:
The equation is in slope-intercept format, y=mx+b. The coefficient in front of the x is the slope as represented by the letter m.
Answer:
Slope = -4
Step-by-step explanation:
The slope can be identified by looking at the coefficient next to the variable, x. In this instance, the coefficient is -4. Therefore, the slope is -4.
please tell me what is -9d×2-d×2
Answer:
I believe it's (2d - 1) • (d + 2)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is 3 .
-4 + 1 = -3
-2 + 2 = 0
-1 + 4 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 4
2d2 - 1d + 4d - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
d • (2d-1)
Add up the last 2 terms, pulling out common factors :
2 • (2d-1)
Step-5 : Add up the four terms of step 4 :
(d+2) • (2d-1)
Which is the desired factorization
Answer - (2d - 1) • (d + 2)
Answer:
-20dStep-by-step explanation:
please tell me what is -9d×2-d×2
-9d×2-d×2
-18d -2d
-20d
Help me help help help help help
Answer:
d) 500 scoops
Step-by-step explanation:
looking at the trend of scoops sold per year, 500 seems to be the correct answer. let me know if this is wrong.
Answer:
D
Step-by-step explanation:
Since each 2 years it goes up. A and B is incorerect. The answer has to be 402-597 so the only logically asnwer is D
pls tell if this helps
In chemistry class, Bob recorded the volume of a liquid as 16.1 mL The acual volume was 15.5 mL. Use the formula to find percent error of Bobs measurement to the nearest tenth of a percent
Answer:
3.9% is the rounded version
Step-by-step explanation:
Answer:
37.0%
Step-by-step explanation:
thanks pi sa points uwu (^^)
godblesss
Write a system of equations for the following situation. There are a total of 35 questions on a test. Some questions are multiple choice and some are short answers. The multiple choice questions are worth 2 points and the short answer questions are worth 5 points. There are a total of 100 points on the test.
Answer:
m + s = 352m + 5s = 100Step-by-step explanation:
There are a total of 35 questions on a test:
m + s = 35Points from multiple choice answers = 2m
Points from short answers = 5s
There are a total of 100 points on the test:
2m + 5s = 100The condition is
There are total 35pens to buy.[tex]\\ \sf\longmapsto m+s=35[/tex]
Each pen costs 2$Each pencil costs 5$You have 100$[tex]\\ \sf\longmapsto 2m+5s=100[/tex]
What is magnitude in maths ?
Answer:
In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.
Quadratic Transformation Worksheet Nam Write the quadratic equation,
1. y = (x - 2)2 + 0
M-ental
A-buse
T-o
H-umans
Subscribe to DreamfanBG for support.
In a group of students, 50% like tea, 70% like coffee, 10% don't like both and 120 like both. By using Venn diagram, find the total number of students.
Answer:
Since 10% like neither, then 90% must like tea(T), coffee(C) or both(B). So what % like both? That % would have to be deducted from both the tea and coffee likers to arrive at tea only (TO), coffee only (CO) and those liking both and the three would have to sum to 90%, since 10% like neither. So whatever % the 120 represents it must be deducted from both the tea and coffee likers. I don’t know how to add graphics but in equation form
50-x + 70-x + x + 10 = 100, 130-x = 100, -x = -30, X = 30%,
120/30% = 400, 50%(T)-30%(B)=20%(TO) or 80, 70%-30%=40% or 160, 30% or 120, and 10% or 40
80+160+120+40=400
Answer:
Step-by-step explanation:
50% 70% 10%
like tea like coffee don't like both
100%-10% =90%
like coffee,tea or both
50% + 70% =120% - 90% = 30%
like tea + like coffee = - = like both
LIKE BOTH 30%=`120
means 1%=4
100%=400
the answer is B:
I just did the question
Answer:
huh? did you mean to send in tgis as a question or something???
What is (-1/2) in mathematics
Answer: One half is the irreducible fraction resulting from dividing one by two (2) or the fraction ... One half often appears in mathematical equations, recipes, measurements
Step-by-step explanation: For example, if you wish to halve the fraction 5/7, write “* 2” beside the denominator “7.” There is no operation to perform to the numerator. Multiply the denominator by 2 to halve the fraction. Using the same example, 7 * 2 = 14. This means that half of 5/7 is 5/14.
All percents can be written as a fraction out of ______________.
Answer:
All percent's can be written as a fraction out of 100.
Step-by-step explanation:
Percent's are usually percent's out of 100, so if you had 63%, it would be 63% out of 100, so your answer is 100
expand and simplify 4(x+3)+4(x+5)
Question 4 of 30
Find the domain of the graphed function.
Answer:
A is the answer
Step-by-step explanation:
find the limiting value using L hospital
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
__
At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
_____
I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.