The function y=5. 45+1. 05(x+7) can be used to determine the cost in dollars for a prepaid cell phone plan of x minutes What is the rate of change with respect to the number of minutes purchased
Answers
According to the function, the rate of change with respect to the number of minutes purchased is $1.05 per minute.
The function given in the problem is y = 5.45 + 1.05(x + 7), where y represents the cost in dollars for a prepaid cell phone plan of x minutes. This means that if you want to know how much it will cost to purchase a certain number of minutes, you can simply plug in that number for x and the equation will give you the corresponding cost in dollars.
Now, the rate of change with respect to the number of minutes purchased is also known as the slope of the function. This tells us how much the cost will change for each additional minute purchased. To find the slope, we need to take the derivative of the function with respect to x.
The derivative of y with respect to x is given by:
dy/dx = 1.05
This means that for each additional minute purchased, the cost will increase by $1.05.
To know more about function here
https://brainly.com/question/28193995
#SPJ4
Related Questions
Pls helppls if u can
Answers
Answer:
C
Step-by-step explanation:
How do you prove the side side side congruence theorem?
Answers
By side side side congruence theorem if any two triangles have three pairs of congruent sides, then the triangles are congruent.
We know that side side side (S-S-S) congruence theorem is a theorem for triangle congruence.
It states that if any two triangles have three pairs of congruent sides, then the triangles are congruent.
We need to prove: the SSS congruence theorem
Consider ΔABC and ΔPQR
here, AB = PQ, BC = QR and AC = PR
Construct a congruent copy of triangle ABC that shares a side with PQR.
∠SQR ≅ ∠ABC and AB = QS
In ΔABC and ΔSQR,
AB = QS ..............(by construction)
∠SQR ≅ ∠ABC ..............(by construction)
BC = QR ..............(given)
ΔSQR ≅ ΔABC ...............(SAS congruence theorem)
So, by corresponding angles of congruent theorem,
∠A ≅ ∠S and ∠ACB ≅ SRQ
But the quadrilateral PQRS is a kite, since we have QP = QS and RP = RS
We know that the diagonal divides the kite into two congruent triangles. Here, the diagonal QR divides the kite into ΔSQR and ΔPQR.
But ΔSQR ≅ ΔABC
so we have ΔPQR ≅ ΔABC
Hence the side side side congruence theorem proved.
Therefore, if any two triangles have three pairs of congruent sides, then the triangles are congruent.
Learn more about the SSS congruence theorem here:
https://brainly.com/question/11139068
#SPJ4
what is the factored forn
Answers
i need help please thanks
Answers
Answer:
here is the answer. hope it's helpful
Write an example from daily life that uses each type of real number.
rational numbers
Answers
Write an example from daily life that uses rational numbers .
Real numbers that may be expressed as p/q, where p, q are integers, and q 0, are rational numbers. The money we have is a rational number. If we spend some sum out of it, it is subtraction of rational number.The running race involves rational numbers if you're an athlete.Rational numbers include the following:the distance runthe time needed to complete the distance,the number of competitors placing first, second, or thirdthe number of heartbeats you take per minute.We use fractions to represent taxes.If you split a pizza or any other food.When you finish a piece of your work, you indicate that you have done half, or 50%.Loan and mortgage interest rates.Savings account interest.To learn more about rational numbers, refer:
https://brainly.com/question/12088221
#SPJ4
if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is convergent.T/F
Answers
If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.
This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.
If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.
Then, we have:
0 ≤ Sn ≤ M1 for all n (Sn is bounded)
0 ≤ Tn ≤ M2 for all n (Tn is bounded)
Now, let's consider the partial sums of the series ∑an∑bn:
Pn = a1(T1) + a2(T2) + ... + an(Tn)
Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.
Using the properties of the partial sums, we have:
0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)
Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.
Therefore, the given statement is True.
learn more about convergent series here : brainly.com/question/32202517
#SPJ11
Two trains, Train A and Train B, weigh a total of 437 tons. Train A is heavier than Train B. The difference of their weights is 415 tons. What is the weight of each train?
Answers
Step-by-step explanation:
A + B = 437
A - B = 415 (for that sequence it is important to know that A is larger than B).
A = 415 + B
that we use now in the first equation :
415 + B + B = 437
2B = 22
B = 11
A = 415 + B = 415 + 11 = 426 tons
B = 11 tons
Please answer each step, step by stepLeo solve the equation for C but made an error. his work is shown below. What is wrongThe error is in line___The correct solution is_____
Answers
Answer:
The error is in line iii
And the correct solution is;
\(4c^2+1=d\)Explanation:
Given the equation;
\(c=\frac{1}{2}\sqrt[]{d-1}\)Solving for d, we have;
multiply through by 2 to get;
\(2c=\sqrt[]{d-1}\)then we will square both sides;
\(\begin{gathered} (2c)^2=d-1 \\ 4c^2=d-1 \end{gathered}\)Adding 1 to both sides;
\(4c^2+1=d\)Therefore;
The error is in line iii
And the correct solution is;
\(4c^2+1=d\)So, who is ready for the weekend?
Answers
Answer:
pls follow me now now I help
Under the right growing conditions, a particular
species of plant has a doubling time of 12 days. Suppose a
pasture contains 46 plants of this species. How many
plants will there be after 20, 65, and x days?
Answers
Based on the information, we can infer that after 20 days there will be 153 plants and after 65 days there will be 498 plants.
How to find the number of plants after 20 and 65 days?To find the number of plants that will be after 20 and 65 days we must take into account the number of initial plants and the number of days required for the plantation to double.
Every 12 days it doubles.Initial amount 46 plants.According to the above, we must make a rule of 3 as shown below:
12 - 92
20 -
= 20 * 92 / 12 = 153
12 - 92
65
= 65 * 92 / 12 = 498
According to the above, after 20 days there will be 153 plants and after 65 days there will be 498 plants.
Learn more about plants in: https://brainly.com/question/22167412
#SPJ1
Points that are on the same line are collinear. Use the definition of slope to determine whether the given points are collinear.
(-2,6),(0,2),(1,0)
Answers
Using the definition of slope, the points (-2 , 6), (0 , 2), and (1 , 0) are collinear.
Three or more points are said to be collinear if they lie on a single straight line.
To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.
m = (y2 - y1)/(x2 - x1)
Getting the slope of each pair of points:
(-2 , 6) and (0 , 2)
m = (y2 - y1)/(x2 - x1)
m = (2 - 6)/(0 - -2)
m = -4/2
m = -2
(0 , 2), and (1 , 0)
m = (y2 - y1)/(x2 - x1)
m = (0 - 2)/(1 - 0)
m = -2/1
m = -2
(-2 , 6) and (1 , 0)
m = (y2 - y1)/(x2 - x1)
m = (0 - 6)/(1 - -2)
m = -6/3
m = -2
Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is equal with each other, then they are collinear.
Learn more about collinear points here: https://brainly.com/question/17314715
#SPJ4
« 13. Given that R= {a,b,c}, S = {b, c, d}
and T = {c, d, e}, list the elements of
R U S U T. the u is a union set pls help
Answers
Answer:
R= {a,b,c}
S = {b, c, d}
T = {c, d, e},
Step-by-step explanation:
R U S U T. ={a,b,c}U{b, c, d}U{c, d, e},={a,b,c,d,e}
The density of a fish tank is 0.2 fish over feet cubed . There are 8 fish in the tank. What is the volume of the tank?
Answers
Answer: 16 feet cubed
Step-by-step explanation:
Answer:
The answer is 40 ft³
Step-by-step explanation:
I took the test. Simple as that
In ΔRST, t = 9.5 inches, ∠R=149° and ∠S=12°. Find the length of r, to the nearest 10th of an inch.
Answers
Answer:
15
Step-by-step explanation:
Its right bro trust me
A popular video game retailer develops apps. The total profit, in dollars per day, after x days can be modeled by the function R(x) = 2x^3 - 20x^2 + 26x + 48. The total
cost, in dollars per day, after x days, can be modeled by the function A(x) = x^2 - 2x - 3. After how many days does the retailer start making money?
8
16
32
64
Answers
The video game retail company started making profit from sales after 8 days as obtained from the profit function given.
Using the profit function given, we could use the trial by error method to obtain when he started making profit.
The profit function :
R(x) = 2x³ - 20x² + 26x + 48
At, x = 8
R(8) = 2(8³) - 20(8²) + 26(8) + 48 = 0
At, x = 9
R(9) = 2(9³) - 20(9²) + 26(9) + 48 = 120
At x = 16 ;
R(16) = 2(16³) - 20(16²) + 26(16) + 48 = 3536
At x = 32 ;
R(32) = 2(32³) - 20(32²) + 26(32) + 48 = 45936
From the profit values obtained, we could see that, profit made after 8 days is 0 ; and the profit made after 9 days is 120
Hence, we could conclude that, the retail company started making profit after 8 days where the profit value is Zero.
Learn more :https://brainly.com/question/16866047
Answer:
After 8 days
Step-by-step explanation:
the reciprocal of 6 and -12y - 18x
Answers
The reciprocal of 6 and -12y -18x are:
\( \frac{1}{6} and \: \frac{1}{ - 12y - 18x} \)
there are 150 pear trees and peach trees in the orchard. There are 20 more peach trees than pear trees. How many pear trees and how many peach trees?
Answers
Which of the following shows the correct first step to solve x^2-18x=-45
A x^2 - 18x + 18= -45 + 18
B. x^2 - 18x + 9 = -45 + 18
C. x^2 -18x + 81 = -45
D. X^2 -18 + 81 = -45 + 81
Answers
Answer:
D, X^2 -18 + 81 = -45 + 81
Step-by-step explanation:
it is complating squer method that used for solving x in a quadratic equetion . in this step you will add
(y/2)^2 if y is the cofitient of x .
Suppose you are conducting a study to compare firefly populations exposed to normal daylight/darkness conditions with firefly populations exposed to continuous light (24 hours a day). You set up two firefly colonies in a laboratory environment. The two colonies are identical except that one colony is exposed to normal light/darkness conditions and the other is exposed to continuous light. Each colony is populated with the same number of mature fireflies. After 72 hours, you count the number of living fireflies in each colony. Questions: Is this an experiment or an observation study? Explain. Is there a control group and a treatment group? Identify each group.
Answers
The study outlined above is an experiment. In the study, two firefly colonies are set up in a laboratory environment and are subjected to different conditions. Therefore, it is an experimental design as the researcher is actively manipulating the independent variable which is the exposure of fireflies to light.
An observational study would involve recording data on a subject without manipulating their environment or situation. An observational study would have a less controlled environment in which the researcher does not interfere with the study subjects. There is a control group and a treatment group. The control group is the colony that is exposed to normal daylight/darkness conditions. The treatment group is the colony that is exposed to continuous light. The control group is used to provide a baseline measure or standard of comparison for the experiment.
It provides a way to compare the difference between the treatment group and the control group. Thus, the control group is the normal light/darkness colony, and the treatment group is the continuous light colony.
Know more about control group and a treatment group here:
https://brainly.com/question/29070427
#SPJ11
pleaseee help me! :(
Answers
Answer:
x=27
Step-by-step explanation:
2x+6 = 60 because equaliteral triangle has 60 degrees per angle, and trangle with sum of all angles = 180 degrees
60=2x+6
54=2x
x=27
how do i solve 1) −10+ r = 3+r-7
Answers
Answer: No Solution
Explanation: 10 + r = 3 + r - 7
Combine like terms: 10 + r = -4 + r
Subtract R to both sides: 10 = 4
There is NO SOLUTION
The sum of three consecutive integers is 45. Find the value of the middle of the three.
Answers
Answer:
18
Step-by-step explanation:
Let, the three consecutive numbers be x, 2x and 3x
According to question,
x + 2x + 3x = 45
or, 5x = 45
or, x = 45/5
or, x = 9
Since , the middle among three of the integers is 2x
so, 2x = 2× 9 = 18
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
$15,095.39
Explanation:
A = 13,000(1 + (0.03/4) )^(5x4)
A = 13,000(403/400)^20
A = $15,095.39385
Partial Question 4 Determine the limit of the sequence (1) {2} [Select] n+3 (2) { (+³)"} [Select] (3) {n sin()} [Select] (4) {sin(nπ)} [Select] Answer 1: the limit DNE, the sequence diverges Answer
Answers
The limit of the sequence (1) {2}, (2) {(-1)^n}, and (3) {n sin(n)}, converges to DNE (does not exist) or the sequence diverges. The limit of the sequence (4) {sin(nπ)} is undefined, as it oscillates between -1 and 1.
In the case of sequence (1) {2}, the limit is a constant value, and the sequence converges to that value. However, in the case of sequence (2) {(-1)^n}, the sequence oscillates between -1 and 1, and there is no single value that it approaches as n tends to infinity. Therefore, the limit does not exist, and the sequence diverges.
Sequence (3) {n sin(n)} also does not have a limit as n tends to infinity. The term n sin(n) oscillates between positive and negative values without approaching a specific value. Hence, the limit of this sequence is DNE, and it diverges.
In the case of sequence (4) {sin(nπ)}, the term sin(nπ) oscillates between -1 and 1 as n varies. Since there is no convergence to a specific value, the limit of this sequence is undefined.
To learn more about limit click here: brainly.com/question/12211820
#SPJ11
What are the approximate solutions to the equation-1+3=12x+5?
Answers
The value of x in this equation is -¼ so, the approximate solution to the equation "-1+3=12x+5" is (x = -¼).
As equation given is -1+3=12x+5
Thus, 2 = 12x+5
12x = -3
x = -3/12
x = -¼
Hence the value of x in this equation is -¼.
The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable. As a result, this equation has a single solution, x = 5/2. A linear equation with two variables, however, has two solutions.
Visit here to learn more about the equation: https://brainly.com/question/10413253
#SPJ4
What is the slope of a line parallel to the line whose equation is x-3y=-27 Fully reduce your answer
Answers
Answer:
1/3Step-by-step explanation:
Note that any line parallel to the given line will have the same slope as the line given.
Given the equation of the line expressed as x - 3y =-27
Rewrite in standard form y = mx+c where m is the slope
x - 3y =-27
-3y = -x -27
Multiply through by -11
3y = x+27
Divide through by 3
y = 1/3 x + 9
Since the slope of the line is 1/3, hence the slope of a line parallel to the line is also 1/3
Helppppppppppppppppppppppppp
Answers
Answer:
H
Step-by-step explanation:
there is + between x and 1/3
Answer:
H
Step-by-step explanation:
the answer is H
because the constant of proportionality is just added as a constant
Please help me with these questions!! this is due at 11:59 pm EST. If you could explain how you got your answers too, that would be so helpful!! (please show your work)use the right triangle ️RST and the given information to solve each problem. 7. Find TM if RM = 4 and MS = 9 8. Find RT if RS = 20 and RM = 8 9. Find TS if RM = 5 and MS = 7 10. Find RT if RM = 1/2 and MS = 1/4 thank you so much if you can help me!!
Answers
We can make a drawing to see better:
7) We know that RM = 4 and MS = 9, so:
\(\begin{gathered} \tan a=\frac{MS}{RM}=\frac{TM}{MS} \\ TM=\frac{MS^2}{RM}=\frac{9^2}{4}=\frac{81}{4}=20.25 \end{gathered}\)The answer is TM = 20.25
8) We know that RS = 20 and RM = 8, so:
\(\begin{gathered} \sin b=\frac{RM}{RS}=\frac{RS}{RT} \\ RT=\frac{RS^2}{RM}=\frac{20^2}{8}=\frac{400}{8}=50 \end{gathered}\)The answer is RT = 50.
9) We know that RM = 5 and MS = 7, so:
\(\begin{gathered} \tan b=\frac{RM}{MS}=\frac{RS}{TS} \\ TS=RS\cdot\frac{MS}{RM} \\ RS=\sqrt[]{RM^2+MS^2} \\ TS=\sqrt[]{RM^2+MS^2}\cdot\frac{MS}{RM} \\ TS=\sqrt[]{5^2+7^2}\cdot\frac{7}{5}=\sqrt[]{25+49}\cdot\frac{7}{5} \\ TS=\sqrt[]{74}\cdot\frac{7}{5}\approx12.043 \end{gathered}\)The answer is TS = 12.043
10) We know that RM = 1/2 and MS = 1/4, so:
\(\begin{gathered} \sin b=\frac{RM}{RS}=\frac{RS}{RT} \\ RT=\frac{RS^2}{RM}=\frac{RM^2+MS^2}{RM} \\ RT=\frac{(\frac{1}{2})^2+(\frac{1}{4})^2}{\frac{1}{2}}=2\cdot(\frac{1}{4}+\frac{1}{16}) \\ RT=2\cdot\frac{4+1}{16}=\frac{5}{8}=0.625 \end{gathered}\)The answer is RT = 5/8 = 0.625
–/1 points] details tanapmath7 2.3.026. my notes ask your teacher find the domain of the function. (enter your answer using interval notation.) f(x) = 6-x /4 x − 5
Answers
In interval notation, the domain of the function f(x) is (-∞, 5/4) U (5/4, +∞).
To find the domain of the function f(x) = (6 - x) / (4x - 5), we need to identify any values of x that would result in division by zero or any other undefined operations.
The function f(x) would be undefined if the denominator, 4x - 5, equals zero. So, we set 4x - 5 = 0 and solve for x:
4x - 5 = 0
4x = 5
x = 5/4
Therefore, the function f(x) is undefined when x = 5/4.
However, since division by zero is the only operation that would cause the function to be undefined, the domain of f(x) is all real numbers except x = 5/4.
In interval notation, the domain of the function f(x) is (-∞, 5/4) U (5/4, +∞).
Learn more about interval notation here:
https://brainly.com/question/29252068
#SPJ11
The speed of a car traveling on a straight road increases from 63 m/s to 75 m/s in 4.2 s. What is the car's acceleration
Answers
Answer:
2.857m/s^2
Step-by-step explanation:
Acceleration (a) is the change in velocity (v) over the change in time (t), represented by the equation a = v/t.