Step-by-step explanation:
8.a.
a function is something that looks like
y = ax + b or similar.
it describes the way to calculate the result for whatever input value you can come up with.
so,
C = 12×d + 8
you could also say
C(d) = 12×d + 8
as, when you rent, you have to pay these $8 in any case, no matter how long you stay, and you need to pay $12 per day you stay.
funny thing is : you understood this perfectly well when doing b.
c.
the constant rate of change is always the factor of the input variable. here : 12
it is the ratio of (y change) / (x change)
or here (C change / d change).
it indicates that for any increase of d by 1 (staying one day longer) the charges C increase by 12.
9.a.
remember, what we just said about the rate of change ?
it is (result change) / (input change).
between 2010 and 2015
the input changed by +5 (from 2010 to 2015).
the result changed by +6.25 (from 37 to 43.25).
the rate of change is therefore
6.25/5 = 1.25 = 1 1/4 = 5/4
the function is therefore
population in millions = (years since 2010)×5/4 + 37
p = y×5/4 + 37
b.
now we want to find the number of years (y) so that the result of that equation is 50.
50 = y×5/4 + 37
13 = y×5/4
52 = 5y
y = 52/5 = 10.4
so, this will be during the 11th year after 2010 = 2021.
10.
be careful and concentrate.
you see that the sequence goes up 20, when n goes up 5 (and not just 1) ? there was your initial mistake.
a.
again, remember the change rate : it is result change / input change.
so, we have here 20/5 = 4.
so,
C(n) = 4×n + 50
b.
n = 12
C(12) = 4×12 + 50 = 98
c.
now we have C(n), and want to find for which n this is true.
C(n) = 78
78 = 4×n + 50
28 = 4×n
n = 7
after 7 visits the costs are 78.
there are the basic costs of 50 (for n = 0 or 0 visits) and then extra 4 for every visit.
d.
the x-axis is for the number of visits, the y-axis for the costs.
so, the line starts at the point (0, 50), and then passes through the points of the original table (5, 70), (10, 90), (15, 110). and if you want you can calculate the points for higher x (or number of visits).
Frank had 42 rocks that he wanted to share with his friends. If he gave each friend the same number of rocks(and kept the same number of rocks for himself), how many rocks did each person get ?
Answer:6. 42 split 7 ways is 6
Step-by-step explanation:
Please help!!
Determine whether the inverse of F(x) is a function.
Answer:
Two crates, A and B, are connected with a rope of negligible mass over a frictionless pulley as represented in the diagram shown on the left. The crates are at rest.
Crate A has an unknown mass and hangs vertically to the right of the slope and crate B, with mass 14 kg, hangs on the slope to the left. The slope makes and angle of 68° with the horizontal.
The coefficient of static friction between crate B and the surface of the slope is 0.3. The direction of the frictional force is up the slope. Calculate the mass of crate A.
Find the equation of the line through (2,1) which is parallel to the line y=−7x−1.
Give your answer in the form y=mx+b
Answer:
y=-7x+15
Step-by-step explanation:
Dr. Brennen donated 49 duffle bags of First-aid kits to the Bahamas Red Cross. Each bag
contained 604 First-aid kits. How many First-aid kits did the Red Cross receive in all?
Answer:
29,596 first aid kits
Step-by-step explanation:
This is a multiplication problem. There are 604 kits in each duffle bag, and there are 49 duffle bags, so the equation is 604 x 49.
In the first step, we multiply 604 by 9 to get 5,436. In the second, we multiply 604 by 40 to get 25,160. Then we add the two numbers together to get 29,596.
Hope this helped :)
7.
"iş, oluş, durum bildiren köklere fiil kökü denir. Fill
kökleri -mek / -mak mastar eki ile anlamlı şekilde
söylenir."
Açıklamaya göre verilen sözcüklerden hangisi-
nin kökü fiil değildir?
A) evim
B) seçim
C) giyim
D) verim
Answer:
ABWJRIRISBDBDBHSHS
Step-by-step explanation:
Hatdog HWHWHWHSHSHSQIWIW
A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins, is given by: T(t) = -0.013t^2 + 0.3172t +98.6. When does the patient reach its maximum value? what is the patient's maximum temp?
Answer:
no entiendo, perdóname, suerte
12
Fill in the blank: What's the length of the missing
side?
Ilype your answer
Answer:
13
Step-by-step explanation:
Using Pythagoras Theorem:
[tex]a^2+b^2=c^2[/tex]
Substitute values of a and b:
[tex]5^2+12^2=25+144=169[/tex]
[tex]c^2=169\\c=13[/tex]
The length of the missing side is 13.
WILL GIVE BRAINIEST IF CORRECT
Which of the following doesn't belong? Explain.
Step-by-step explanation:
a. 5x² - 80
b. 5(x² + 4x - 4x -16)
5(x² - 16)
5x² - 80
c. 5x² - 20x + 20x - 80
5x² - 80
d. 5x² - 11
D doesn't belong because 5x² - 11 is not the answer to A, B, or C.
Savanna have 40 iris blooms last year this year she had 50% more iris blooms how many more iris blooms did savanna have this year
Answer:
6
Step-by-step explanation:
-3, -8, -13, -18,.. Find the nth term
Answer:
The nth term of the sequence is -5n + 2 (or 2 - 5n)
Answer:
[tex]a_{n}[/tex] = - 5n + 2
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = - 5 , then
[tex]a_{n}[/tex] = - 3 - 5(n - 1) = - 3 - 5n + 5 = - 5n + 2
Kevin buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 4 oatmeal cookies. What is the probability that Kevin randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects an oatmeal cookie
Answer:
4/13 or 30.769%
Step-by-step explanation:
sole the inequality x-8>-4
Answer:
[tex]x>4[/tex]
Based on this, we know the correct number line will be an empty bubble with a line going to the right of 4.
Step-by-step explanation:
[tex]x-8>-4[/tex]
add 8 to both sides of the inequality
[tex]x>4[/tex]
Solve 4x-4 < 7x - 19
Answer:
x<5
Step-by-step explanation:
cuz im a methnerd l
Answer:X>5
Step-by-step explanation:
Translate the sentence to an equation. Then solve and check.
3/4 of a number is equal to 36.
The equation is [?] . (Type an equation using x as the variable.)
The solution is x= [?] . (Simplify your answer.)
Suppose that x is that number thus:
[tex] \frac{3}{4} x = 36 \\ [/tex]
Multiply both sides by 4
[tex]4 \times \frac{3}{4} x = 4 \times 36 \\ [/tex]
[tex]3x = 144[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{144}{3} \\ [/tex]
[tex]x = 48[/tex]
There u go...
Have a great day ❤
Step-by-step explanation:
3/4 of x=36
the equation is algebra
3/4×x=36
3/4x=36
36×4/3
=28
HEEEEELP!!!!! what are 5 expressions that are equivelent to 8x+16
Answer:
8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)
Step-by-step explanation:
Keith’s Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements
in the Greenville, South Carolina, area. Of these 15 trucks, 6 have brake problems. A sample
of 5 trucks is randomly selected.
a. What is the probability that 2 of those tested have defective brakes? (5 marks)
b. Is this a discrete or continuous distribution? Explain.
Answer:
= 0.419
Step-by-step explanation:
in pic
(Hope this helps can I please have brainlist (crown)☺️)
may's dog weighed 16kg. the dog lost 800g after it fell ill.
Answer:
15200g
Step-by-step explanation:
Hope the Dog gets better XD
Step-by-step explanation: First you have to convert kilograms to grams. You have to multiply kilograms by 1,000 to get grams. 16kg*1,000=16,000. Then do this 16,000-800=15,200
Help ASAP PLEASSEEEEE for 30 points
First picture:
5). 343
Second Picture:
1). 89
2). -26
3). 20
4). 62
Third Picture:
Equation 1: Associative
Equation 2: Commutative
Equation 3: Associative
Equation 4: Distributive
Equation 5: Commutative
Equation 6: Associative
Last Picture:
1). B).
2). C).
Please mark Brainleist
What is the mean? 3 8 7 2 9 6 6 7
Answer:
6
Step-by-step explanation:
To find the mean, you add up all the numbers and divide that by the number of numbers there are.
In this case, the total is [tex]3+8+7+2+9+6+6+7=48[/tex]
There are 8 numbers.
Thus, the mean is 48 ÷ 8 = 6
Hey there!
When you hear/see the word “mean” in mathematics it usually means “average” or “total”.
Formula: sum of the total numbers ÷ total numbers in the data plot
YOUR EQUATION:
3 + 8 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8
= 11 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8
= 18 + 2 + 9 + 6 + 6 + 7 ÷ 8
= 20 + 9 + 6 + 6 + 7 ÷ 8
= 29 + 6 + 6 + 7 ÷ 8
= 35 + 6 + 7 ÷ 8
= 41 + 7 ÷ 8
= 48 ÷ 8
= 6
Therefore, your mean is: 6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find the equation of the line passing through the point (-5,2) with slope 1/3. Show work.
Hello!
First, let's write our equation in point-slope form.
Point-Slope Form:
y-y1=m(x-x1)
y1= the y-coordinate of the point
m=the slope
x=the x-coordinate of the point
y-2=1/3(x-(-5)
y-2=1/3(x+5)
y-2=1/3x+5/3
y=1/3x+5/3+2
y=1/3x+3.7
Hope it helps.
~A smiley teen
#CarryOnLearning
[tex]MagicalNature[/tex] here to help
Which value is a solution of the inequality x∕5 + 2 ≤ 6?
[tex] \rm \frac{x}{5} + 2 \leqslant 6[/tex]
[tex] \rm x + 2 \leqslant 6 \times 5[/tex]
[tex] \rm x + 2 \leqslant 30[/tex]
[tex] \rm x \leqslant 30 - 2[/tex]
[tex] \rm x \leqslant 28[/tex]
[tex]\dfrac x5 +2 \leq 6 \\\\\\\implies \dfrac x5 \leq 4 \\\\\\\implies x \leq 20 \\\\\text{Interval,} ~ (-\infty, 20][/tex]
A rectangular garden is 20ft longer than it is wide. It’s area is 6300ft^2. What are its dimensions
Answer:
Length = 90 feet
Width = 70 feet
Step-by-step explanation:
The area of a rectangle is found by finding the product of the length. Therefore, the following formula equation can be made:
[tex]A=lw[/tex]
The problem tells us that the area of the garden is 6,300 square feet and that the length is 20 feet longer than the width. Therefore, our equation can be rewritten as such:
[tex]6300=(w+20)(w)~or~6300=w(w+20)[/tex]
Now that there are no longer two different variables, we can solve for w.
[tex]6300=w(w+20)\\\\6300=w^2+20w\\\\0=w^2+20w-6300[/tex]
We are left with a trinomial so we'll use the quadratic formula to further solve for w.
[tex]w=\frac{-20\pm\sqrt{20^2-4(1)(-6300)} }{2(1)}\\\\w=\frac{-20\pm\sqrt{400+25200} }{2}\\\\w=\frac{-20\pm\sqrt{25600} }{2}\\\\w=\frac{-20\pm160}{2}\\\\\\w=70\\or\\w=-90[/tex]
Since distance cannot be negative, w = -90 cannot be a solution for this problem. Therefore, the width of the rectangular garden is 70 feet.
Now that the width has been found, we know the length is 20 feet longer than it. Therefore, the length is 90 feet.
Un estudiante de Astronomía sabe que Venus le da la vuelta al Sol 225 días y Marte 687 días . Si sabe que la última vez que v s , tierra y Marte se alinearon fue hace 1805645 días , ¿ en cuanto tiempo se volverán a alinear los 3 planetas al mismo punto?
solve: |2(x-5)|+11=17
Answer:
x = 8, x = 2
Step-by-step explanation:
|2(x-5)|+11=17
|2(x-5)| = 6
|(x-5)| = 3
x = 8 AND x = 2 because of the absolute value.
Brainliest, please :)
The solution of the given equation will be x = 2 and 8.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The expression is;
| 2 (x - 5) | + 11 = 17
Now, Solve the expression is;
| 2 (x - 5) | + 11 = 17
Subtract 11 both side,
| 2 (x - 5) | + 11 - 11 = 17 - 11
| 2 (x - 5) | = 6
Reduce modulus we get;
2 (x - 5) = ±6
Take positive sign,
2 (x - 5) = 6
x - 5 = 6/2
x - 5 = 3
x = 3 + 5
x = 8
And, Take negative sign,
2 (x - 5) = -6
x - 5 = -6/2
x - 5 = -3
x = 5 - 3
x = 2
Thus, The solution of the given equation will be x = 2 and 8.
Learn more about the modulus function visit:
https://brainly.com/question/16817454
#SPJ5
Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me
3
Which number line shows a number equivalent to
1 Sume
Choose 1 answer:
ctions
++
wat tract
>
2
0
1
A
U
HHH
iz 1
X 8 min
>
2
0
1
N
ctions
FE
4HHHH
0
>
2
1
iz 2
6 3 mor
Answer: B
Step-by-step explanation:
2/3 means 1.5
AT WHAT X-VALUE DOES A
RELATIVE MINIMUM
OCCUR?
Answer:
x ≈ 4.239
Step-by-step explanation:
A relative minimum is found at the bottom of any U-shape on the graph. If you expand the graph shown until it has a suitable scale, it can show you the relative minimum occurs at x ≈ 4.239.
__
Additional comment
The relative maximum occurs at the top of any ∩-shape. The graphing calculator can show you that occurs at x ≈ -1.573.
i need help on this math problem
Answer:
I can't see the problem I am blind but still very hard to see it's not quite clear
A line has a slope of –8 and includes the points (5,–3) and (4,z). What is the value of z?
Question 8 of 10 What is sin 30º? 60 2 901 D A B. c.. () E. E )
Answer:
A. [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
sin 30°
Step 2: Solve
Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.
Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.
Substituting it into sin, we have:
sin 30° = 1/2 = 0.5
∴ our answer is A.