Considering the definition of a line, the linear function that represents the total cost when x tickets are ordered is c= 20.5x + 5.50.
What is a linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Total cost in this caseIn this case, you know:
Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. This is, as service fee is a single fee applied to the total, no matter the number of tickets purchased, the value of "b" is 5.50.The total cost in dollars for ordering 5 tickets is $108.00Being Total cost= set price per ticket× amount of tickets + 5.50, then:
108=set price per ticket× 5 + 5.50
108 - 5.50= set price per ticket× 5
102.5= set price per ticket× 5
102.5÷5= set price per ticket
20.5= set price per ticket
Finally, the total cost is Total cost= 20.5× amount of tickets + 5.50.
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Answer:
Its letter A
Step-by-step explanation:
Which of the statements below is true for the following set of numbers? 20, 15, 50, 85, 75, 60
The range is 70 and the midrange 50 is .
The range and the midrange are equal.
The range is 85 and the midrange is 55.
The range is 70 and the midrange is 55.
Lisette wrote the following algebraic expression to represent “4 times as large as the product of w and 11.”
The translation of the sentence "4 times as large as the product of w and 11" to an expression is 44w
How to translate the algebraic sentence to an expressionFrom the question, we have the following parameters that can be used in our computation:
“4 times as large as the product of w and 11.”
The number is represented with w
So, the statement remains unchanged as follows
“4 times as large as the product of w and 11.”
4 times as large means 4 *
So, we have the following representation
4 times as large as the product of w and 11 ⇒ 4 * the product of w and 11.
the product of means that we multiply
4 times as large as the product of w and 11 ⇒ 4 * w * 11
Evaluate the products
This gives
4 times as large as the product of w and 11 ⇒ 44w
Hence, the expression is 44w
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Jose has a points card for a movie theater.
• He receives 50 rewards points just for signing up.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 85 points for a free movie ticket.
Write and solve an inequality which can be used to determine x, the number of visits
Jose can make to earn his first free movie ticket.
Answer:
x ≥ 10
Step-by-step explanation:
Total Points = 50 + 3.5x
Total Points ≥ 85
50 + 3.5x ≥ 85
3.5x ≥ 35
then divide both sides by 3.5
x ≥ 10
Can someone help me with my last question for my hw plz
answer:
-4
explanation:
when reflected the a will be at -2 in the third quadrant, when moved 2 units to the left you get the y coordinate of -4
hope this helped!
To find the next number in the sequence: 7, 10, 13, 16, ____ you would need to do which of the following?
Answer:
19. Add
Step-by-step explanation:
10 - 7 =
13 - 10 =
16 - 13 =
16 + 3 =
If f(x)=2x^3−x^2−16x+15 and f(−3)=0, list all of the zeros from least to greatest
x=
x=
x=
The roots from smallest to greatest are -3, 1, and 5/2 or (2 1/2).
Explain the cyclin-dependent regulation
cell cycle
Cyclins drive the events of the cell cycle by partnering with a family of enzymes called the cyclin-dependent kinases (Cdks). A lone Cdk is inactive, but the binding of a cyclin activates it, making it a functional enzyme and allowing it to modify target proteins.
hope this helps!
Answer:
Cyclins drive the events of the cell cycle by partnering with a family of enzymes called the cyclin-dependent kinases (Cdks). A lone Cdk is inactive, but the binding of a cyclin activates it, making it a functional enzyme and allowing it to modify target proteins.
Step-by-step explanation:
A pizza shop sold 18 medium pizzas. The number of large pizzas sold was 3 times as many as the number of medium pizzas sold. How many pizzas did the pizza shop sell altogether?
Answer:
18 × 3 = 54
18 + 54 = 72
Therefore, the answer is 72.
Find the difference:
16 16
Answer:
3 3/6 or 3 1/2 or 3.5
Step-by-step explanation:
brainliest
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Help please look at picture no links!!
Answer:
66
Step-by-step explanation:
[tex]1)\ \frac{28.9}{3.14} = 9.2[/tex]
[tex]2)\ \frac{9.2}{2} = 4.6[/tex]
[tex]3)\ 4.6^2 * 3.14 = 21.16 * 3.14 = 66.4[/tex]
Which statement about f(x) = 2x2 – 3x - 5 is true?
Answer:
-1, 5/2 ; f(x) = (x+1)(2x-5)
Step-by-step explanation:
2x² - 3x - 5 = 0
2x² - 5x + 2x - 5 = 0
x(2x - 5) +1(2x - 5) = 0
Factors are :
(2x - 5) = 0 ; (x + 1) = 0
2x - 5 = 0
2x = 5
x = 5/2
(x + 1) = 0
x = - 1
Zeros are ; x = 5/2 and x = - 1
BC is the diameter of the semicircle. The area of rectangle ABCD is 20 and the length of line AB is 5.What is the area of the semicircle?
Answer:
2[tex]\pi[/tex] [tex]units^{2}[/tex]
Step-by-step explanation:
BC is equal to 4 because 5*4=20.
The radius is 2. The equation for the area of a circle is [tex]\pi r^2[/tex].
Therefore, if we plug in 2 we will get [tex]4\pi[/tex].
But then we divide by 2 to get 2[tex]\pi[/tex] [tex]units^{2}[/tex] as our answer.
Hope this helped! :)
-3x-6+(-1)
i will give brainliest !
Answer:
-3x-7
Step-by-step explanation:
Let's simplify step-by-step.
−3x−6−1
=−3x+−6+−1
Combine Like Terms:
=−3x+−6+−1
=(−3x)+(−6+−1)
=−3x+−7
Answer:
=−3x−7
Evaluate -3x³-4x for x = -1.
A)-1
B)7
C)1
Answer:
B) 7
Step-by-step explanation:
-3x³-4x =
-3(-1)³-4(-1) =
-3(-1)+4=
3+4 =7
Factor the expression y^2+8x+12
Answer: y^2+8x+12
Step-by-step explanation:
Which expression is equivalent to -51 - (-60)−51−(−60)minus, 51, minus, left parenthesis, minus, 60, right parenthesis?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
-60+(-51)−60+(−51)minus, 60, plus, left parenthesis, minus, 51, right parenthesis
(Choice B)
B
60+5160+5160, plus, 51
(Choice C)
C
51-6051−6051, minus, 60
(Choice D)
D
-51+60−51+60minus, 51, plus, 60
Answer:
it's B.
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the quantity of drug in the body decreases at a rate proportional to the amount left in the body, with constant of proportionality k. Suppose that the half-life of hydrocodone bitartrate in the body is 3.9 hours, and that the oral dose taken is 9 mg.
a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.
b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.
c) Use the half-life to find the constant of proportionality k.
d) How much of the 9 mg dose is still in the body after 12 hours?
Answer:
a. dQ/dt = -kQ
b. [tex]Q = 9e^{-kt}[/tex]
c. k = 0.178
d. Q = 1.063 mg
Step-by-step explanation:
a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.
Let Q be the quantity of drug left in the body.
Since the rate of decrease of the quantity of drug -dQ/dt is directly proportional to the quantity of drug left, Q then
-dQ/dt ∝ Q
-dQ/dt = kQ
dQ/dt = -kQ
This is the required differential equation.
b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.
with t = 0, Q(0) = 9 mg
dQ/dt = -kQ
separating the variables, we have
dQ/Q = -kdt
Integrating we have
∫dQ/Q = ∫-kdt
㏑Q = -kt + c
[tex]Q = e^{-kt + c}\\Q = e^{-kt}e^{c}\\Q = Ae^{-kt} (A = e^{c})[/tex]
when t = 0, Q = 9
[tex]Q = Ae^{-kt} \\9 = Ae^{-k0}\\9 = Ae^{0}\\9 = A\\A = 9[/tex]
So, [tex]Q = 9e^{-kt}[/tex]
c) Use the half-life to find the constant of proportionality k.
At half-life, Q = 9/2 = 4.5 mg and t = 3.9 hours
So,
[tex]Q = 9e^{-kt}\\4.5 = 9e^{-kX3.9}\\\frac{4.5}{9} = e^{-kX3.9}\\\frac{1}{2} = e^{-3.9k}\\[/tex]
taking natural logarithm of both sides, we have
[tex]ln\frac{1}{2} = ln(e^{-3.9k})\\\\-ln2 = -3.9k\\k = -ln2/-3,9 \\k = -0.693/-3.9\\k = 0.178[/tex]
d) How much of the 9 mg dose is still in the body after 12 hours?
Since k = 0.178,
[tex]Q = 9e^{-0.178t}[/tex]
when t = 12 hours,
[tex]Q = 9e^{-0.178t}\\Q = 9e^{-0.178X12}\\Q = 9e^{-2.136}\\Q = 9 X 0.1181\\Q = 1.063 mg[/tex]
factorise y^6 - 64 as possible
Answer:
Step-by-step explanation:
Observe that [tex]y^6-64=y^6-2^6.[/tex]
And you factor out using this expression:
[tex](a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)[/tex]
Take a=y and b=2.
Answer:
(y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)
Step-by-step explanation:
[tex]y^{6}[/tex] - 64 ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
[tex]y^{6}[/tex] - 64
= (y² )³ - 4³
= (y² - 4)([tex]y^{4}[/tex] + 4y + 16) ← note y² - 4 is a difference of squares
= (y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)
Random samples of students at four-year colleges were interviewed several times since . Of the students who reported , the percentage who reported bingeing at least three times within the past two weeks was % of students in and of students in a. Estimate the difference between the proportions in and , and interpret. b. Find the standard error for this difference. Interpret it. c. Define the two relevant population parameters to compare in the context of this exercise. d. Construct and interpret a % confidence interval to estimate the true difference. e. State the assumptions for the confidence interval in part d to be valid.
Answer:
Step-by-step explanation:
Of The Students Who Repo Drinking Alcohol, The Percentage Who Reported Random samples of students at 112 four-year colleges were interviewed who reported bingeing at least three times within the past two weeks was 42.5% of Estimate the difference between the proportions in 2007 and 1998, and interpret.
Jason spends no more than 20% of the money he earns at his job each week. He earns $80 each week for 4 weeks. Write an inequality that describes the total amount that Jason spends during this 4-week period.
9514 1404 393
Answer:
s ≤ 4(0.20×80)
Step-by-step explanation:
The maximum Jason spends each week is 0.20 × $80. Then the amount (s) he spends in 4 weeks will be less than or equal to 4 times this product.
s ≤ 4(0.20×80)
Use the graph of the function,
f(x)=x-1/x^2+5x+6
to identify the function's
vertical asymptotes.
a. x=-1, x= 6
b. x=1, x=-6
c. x=-2, x=-3
d. X= 2, x= 3
Answer:
c. x = -2 or x = -3
Step-by-step explanation:
The vertical asymptotes occur where the denominator = 0. That happens when the f(x) is undefined. So,
x^2 + 5x + 6 = 0
(x + 2)(x + 3) = 0
x = -2 or x = -3
40% of an hour is what
Answer:
24 minutes
Step-by-step explanation:
100% = 60 minutes is 100%
So that means that 40% = 24 minutes.
Equations of Exponential Functions
Given the following equations of an exponential function
R = 10.5(0.535)t
determine the decay rate.
a. 0.535%
b. 10.5%
c. 50%
d. 46.5%
Please select the best answer from the choices provided
Answer:
D. 46.5%
Step-by-step explanation:
I calculated it logically
What type of sequence is this: an = 4 * 3(n-1)
Answer:
geometric sequence.
Step-by-step explanation:
Given the sequence an = 4 * 3(n-1)
The type of sequence written in this form is a geometric sequence. It is expressed Mathematically as;
an = ar^n-1
On comparison, we can see that;
a = 4
r = 3
a is the first term]
r is the common ratio
PLEASE someone help
7????
Step-by-step explanation:
If m = 2, n = 3 and p = 0; then what is the value of 4mp + 3n
Answer: The answer is 9.
Answer:
9
Step-by-step explanation:
4mp + 3n
Given:
m = 2
n = 3
p = 0
Work:
4mp + 3n
4(2)(0) + 3(3)
0 + 9
9
Solve this inequality for x.
Answer:
A. x ≥ 21[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
81 - 1[tex]\frac{1}{5}[/tex] x ≤ 55
-1[tex]\frac{1}{5}[/tex] x ≤ 55-81
-[tex]\frac{6}{5 }[/tex] x ≤ -26
x ≥ -26(-[tex]\frac{5}{6}[/tex]) **flip the inequality when you divide by a negative number
x ≥ 21[tex]\frac{2}{3}[/tex]
Please help I was sick and missed out on class thank you.
Answer: slope=-5 and y-intercept=1
Step-by-step explanation:
The equation given is in slope-intercept form. Slope-intercept for is y=mx+b, where m is slope and b is y-intercept.
This gives m=-5 and b=1.
What is the value of x?
sin49°=cosx