Answer:
31
Step-by-step explanation:
as we put the value of X in the function it gives 3
Rick’s Rentals is a car rental company that uses the function f(x)=22+0.10x to determine the to
tal cost of a rental as a function of how many miles a person drives. Penny’s Pencils is another company that uses a similar function g(x)=22+0.10x to determine the total cost of an order of personalized pencils as a function of the number of pencils ordered. Determine the domain and range of the company whose function is continuous and justify your answer.
Answer:
Step-by-step explanation:
The number of miles driven is sometimes written as a mixed number, and thus is a continuous variable (whereas the number of pencils purchased is not continuous (it's a whole number).
The domain of the continuous function are [0, n), where n represents the number of miles driven and is rarely over about 500 miles per day; the range is [$22, r), where r is ($0.10/mile)(number of miles driven), or approximately $50. If the renter drove 600 miles the upper end of the range would be $60. And so on.
A delivery company has a fleet of vans. The annual operating cost in dollars) per van is C = 0.37m + 2600, where m is the number of miles traveled by a van in a year. What number
of miles will yield an annual operating cost of $13,700?
mi
Answer:
Step-by-step explanation:
put C=13,700 and find m
The number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.
How to determine What number of miles will yield an annual operating cost of $13,700To find the number of miles that will yield an annual operating cost of $13,700, we need to solve the given equation for \(m\):
\[C = 0.37m + 2600\]
Given \(C = 13700\), we can substitute this value into the equation and solve for \(m\):
\[13700 = 0.37m + 2600\]
Subtract 2600 from both sides:
\[11100 = 0.37m\]
Now, divide both sides by 0.37:
\[m = \frac{11100}{0.37}\]
Calculate the value of \(m\):
\[m \approx 30000\]
So, the number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.
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If the area of a rectangle is 12[tex]b^{7}[/tex]b[tex]b^{4}[/tex] and the width of the rectangle is 4[tex]a^{2}[/tex][tex]b^{2}[/tex] , what is the length of the rectangle?
[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]
The work of a student to solve the equation 3(2x - 4) = 8 + 2x + 6
Answer:
false
Step-by-step explanation:
3(2×−4)=8+2×+6
Multiply 3 and 2 to get 6.
6(−4)=8+2×6
Multiply 6 and −4 to get −24.
−24=8+2×6
Multiply 2 and 6 to get 12.
−24=8+12
Add 8 and 12 to get 20.
−24=20
Compare −24 and 20.
Se construye cubo de madera de qué tiene 26 m de aristas y se debe cubrir todo el cubo con plástico cuántos metros cuadrados de plástico se necesitará
Answer:
i tink its a
Step-by-step explanation:
Alina thinks that the first step in solving the equation shown below could
be to use the subtraction property of equality. Olivia thinks that the multiplication
property of equality could be used first. Who is correct?
Answer:
H
Step-by-step explanation:
Both.
However, multiplication is a good deal more awkward and anytime things are awkward, there's room for errors. However the question is what to do, not which is better.
The answer is both.
It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years?
Answer:
$139 463.95
Step-by-step explanation:
100% - 4.6% = 95.4%
95.4% ÷ 100 = 0.954
0.954 --> decimal multiplier
$185 000 × 0.954^6 = $139 463.95
Hope this helps! <3
Which graph represents the solutions to x > ?
Answer:
D because all the values are greater than the point and do not include the point
Answer:
The Answer Is D
Step-by-step explanation:
A right triangle with a hypotenuse of square root of 61 has an area of 15 square inches. Find the lengths of the other two sides.
The lengths of the other two sides are 6 inches and 5 inches
Let b represent the base of the right triangle, h represent the height of the right triangle and x represent the hypotenuse.
Since the area of the triangle is 15 in², hence:
Area(A) = (1/2) * base * height
15 = (1/2)bh
bh = 30
b = 30/h (1)
Applying Pythagoras theorem also:
x² = b² + h²
(√61)² = b² + h²
61 = (30/h)² + h²
61 = 900/h² + h²
61h² = 900 + h⁴
h⁴ - 61h² + 900 = 0
h = -6, -5, 5, 6
Since the length cant be negative, hence h = 5 or h = 6
When h = 5; b = 30/5 = 6
When h = 6; b = 30/6 = 5
Therefore the lengths of the other two sides are 6 inches and 5 inches
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The manager of a children's puppet theatre has determined that the number of adult
tickets he sells for a Saturday afternoon show is a random variable with a mean of 28.3
tickets and a standard deviation of 5.3 tickets. The mean number of children's tickets he
sells is 42.5, with a standard deviation of 8.1.
(a) The adult tickets sell for $10. Let A = the money he collects from adult tickets on a
random Saturday. What are the mean and standard deviation of A?
Applying statistical concepts of multiplication of a variable by a constant, it is found that the mean of A is of $283, while the standard deviation is of $53.
When a constant is multiplied to each data in a variable:
The mean is multiplied by this constant. The standard deviation is multiplied by this constant.In this question, the variable has mean 28.3 and standard deviation of 5.3, and is multiplied by 10, hence:
[tex]28.3(10) = 283[/tex]
[tex]5.3(10) = 53[/tex]
The mean of A is of $283, while the standard deviation is of $53.
A similar problem is given at https://brainly.com/question/25639778
2. which of the following shows the cube of a binomial?
Answer:
Socratic app
Step-by-step explanation:
it will help you
what 2.3892 decimal of the round to nearest hundredths
Answer:
2.38
Step-by-step explanation:
William wish1wish woman weeks whereby when wishful willful
As you may know, the 8 would be located in the hundreaths place.
2.3892
If the number right of 8 is five for less, it says the same. If it's 5 or more, then 8 would change. In this case, 9 is more than 5 meaning that 8 becomes 9. However, we aren't quite finished yet. 9 and everything left of that number must become 0.
Your answer would be 2.39.
Please help me Asp please really fast
[f-g] (3) for f(x)=4x+3 and g(x)=8/x+2 step by step!
Answer:
10.4
Step-by-step explanation:
x=3⇒f(3)= 4×3+3=15
x=3⇒g(3)=8/3+2≈4.6
f(3)-g(3)=15-4.6=10.4
3. 13.2 -0.006
How would you show the work
Answer:
13.194
Step-by-step explanation:
13.2
- 0.006
-----------------
Just add zeros on the part where there are no numbers
13.200
- 0.006
------------------
13.194
can anyone help me with this asap. thank you in advance.
use the perimeter formula
P=2l+2w
P=2(3x+2)+2(x+4)
P=6x+4+2x+8
P=8x+12
one added to the square root of the sum of a number and one is equal to four. find the number
[tex]\stackrel{\textit{one added to the }\sqrt{\qquad }}{1+\sqrt{\quad }}~~,~~ \stackrel{\sqrt{~~}\textit{ of a number and one}}{\sqrt{x+1}}\implies 1+\sqrt{x+1}\stackrel{\textit{equals}}{=}4 \\\\\\ \sqrt{x+1}=3\implies \left( \sqrt{x+1} \right)^2=3^2\implies x+1=9\implies \boxed{x=8}[/tex]
Pete says the relationship between the amount he weighs and his age are proportional do you agree or disagree? explain
Answer:
Disagree
Step-by-step explanation:
I dont think this is a math question but answering it in a science point of view it would make sense to disagree with Pete. There is a lot of factors that go into the weight of a person such as gender, age, body frame, and height. Lots of people can vary which is why its not proportional
let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?
The value of P - Q as described in the question above is; P -Q = 2.
According to the question;
P = number of primes less than 100Q = number of primes less than 90Since, we are required to determine what the value of P-Q is;
The value of P-Q is simply the number of primes between 90 and 100.
The prime numbers between 90 and 100 are; 91 and 97.
Therefore, P - Q = 2.
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I need the answers to thisssss?
Answer:
Step-by-step explanation:
A. Zero Slope: since it is horizontal
B. Positive Slope: since it goes up and to the right
C. Undefined Slope: since it is vertical
D. Negative Slope: since it goes down and to the left
Triangle MAF has sides lengths 223, 258 , and 276. Find the measure of the largest angle. a) 68.72degrees b) 69.56degrees c)66.98degrees d) 70.45degrees
Answer:
Step-by-step explanation:
The largest angle will be opposite the longest side.
Use law of cosines
276² = 223² + 258² - 2(223)(258)cosθ
θ = 69.596009... = 69.60°
Which is closest to answer b)
Help pls ASAP plssss
Answer:
y=2x-1
Step-by-step explanation:
The y-intercept is -1
The slope is 2
Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 34-5=-2N+ 10? Select two options Ox= 5 0 -15 = -5x 0 5x = 15 0 -15 = 5x Ox = -5
Answer:
-15 = -5x
5x = 15
Step-by-step explanation:
Work out the length x. 14cm, 7cm , right angle triangle
The given triangle is a right angled triangle. So we can use the pythagorean theorem to solve this.
Hypotenuse = 14 cm
Altitude = 7 cm
Base = x cm
Using pythagorean theorem,
Hypotenuse² = Base² + Altitude²
14² = x² + 7²
14² - 7² = x²
196 - 49 = x²
147 = x²
√147 = x
12.124 = x (approx.)
_________
Hope it helps ⚜
For every 3 boys in the class, there are 4 girls. How many boys are in the class if there 24 girls in all?
Please help I do not really know what I’m doing if you could give an example of that would be good too but if not that’s OK
Answer:
the dot would be shaded in and from -6 go to the left
Step-by-step explanation:
Function or non functional???
Answer:
The relation is a function.
Step-by-step explanation:
In the given relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)}:
A relation is a function for which none of the ordered pairs have the same first component and different second components.
In the given relation:
The first component comprises of: {A, B, D, F, G}. The second component comprises of: {8, 8, 5, 5, 8}.The given relation represents a function since none of the first components have the same corresponding second components. In other words, there are no repeating values of A, B, D, F, and G. Each of these values has its own corresponding second component.
Therefore, the relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)} is a function.
Amelia had 22 sea shells. Then, she collected 9 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
Answer:
22 + 9 - S
Step-by-Step Explanation:
Amelia started with 22 seashells and found 9 more so you add that together then since she gave S amount of seashells away to her sister you minus it.
4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.
Step-by-step explanation:
n² + n < 2^n
so, let's see what happens, when I increase n by 1
(n+1)² + n + 1 < 2^(n+1) = 2×2^n
n² + 2n + 1 + n + 1 < 2×2^n
n² + 3n + 2 < 2×2^n = 2^n + 2^n
so, we added on the left and on the right side of the inequality sign compared to the original relation :
2n + 2 vs. 2^n
so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.
n² + n + (2n + 2) < 2^n + (2^n)
this inequality will remain true, if
2n + 2 <= 2^n
n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1
and therefore this relation remains true for any larger n.
How many ? yards = 6 miles
Answer:
6 miles = 10560 yards
Step-by-step explanation:
To calculate a mile value to the corresponding value in yard, just multiply the quantity in mile by 1760 (the conversion factor). Here is the formula:
Value in yards = value in mile × 1760
Suppose you want to convert 6 mile into yards. Using the conversion formula above, you will get:
Value in yard = 6 × 1760 = 10560 yards