The three statements that describe this function are the rate of change is $0.75, the initial fee is $2, and a twenty-mile trip is $17.
What is a function?A function shows the mathematical relation between two factors. In this case, the factors are miles and cost.
What is true about this function:The rate of change is $0.75: The difference in the cost between one mile and the next one is always $0.75. For example, a 4-mile trip is $5 and a 3-mile trip is $4.25 (5-4.25= 0.75).The initial fee is $2: When the value of the miles is 0 the cost is $2, which shows this is the initial basic fee.A twenty-mile trip is $17: The function follows the pattern 2 + x (0.75); this means 2 + (20 x 0.75) = 2 + 15 = $17.Note: This question is incomplete because the image is missing. Here is the image:
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6 sushi rolls cost $8.99
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What is the period and frequency of the function graphed and how would the equation be written
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6[distance between any successive Crest or trough]
a = - 4 (flipped)b = 2π/p = 2π/6 = π/3k = -2Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 4 \cos( \frac{ \pi}{3}x ) - 2[/tex]
Multiply 12•3/5. Simplify the answer and express it as a mixed number
Answer:
7 1/5
Step-by-step explanation:
12x3/5=36/5.
The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
we have to Multiply 12•3/5
i.e. 12 * 3 /5
= (12*3 )/5
=36/5
now, as we have to express it as a mixed number,
we get,
36/5 = 7 1/5
Hence, The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.
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A haircut cost $16 which included tax. Joan tipped 20% and paid with a $50 bill. What was her change?
Answer:
32
Step-by-step explanation:
Answer: 30.8
Explanation: 20% of 16 is 3.2
16 + 3.2 = 19.2
50 - 19.2 = 30.8
I might be wrong but that's the answer I got
which has a greater magnitude 17 ft above sea level or 11 ft
Answer:
1 - 52= 52 33= 33 52 > 33, so -52 dollars has the greater magnitude. 1 - 141 = 14 [23] = 23 14 < 23, so 23 feet has the greater magnitude.
Step-by-step explanation:
Hope This Helps
A cylinder has a highet of 20cm and a volume of 1004.8cm. Calculate the radius of the base of the cylinder
Answer:
radius = 4 cm
Step-by-step explanation:
r≈4cm
Using the formula
V=πr2h
Solving forr
r=V
πh=1004.8
π·20≈3.99899cm
Guys please help me!!!
Answer:
p = 2
q = -1
k = -1
Step-by-step explanation:
Cosine functions always start above or below 0. So, the one that starts at (0, 1) is f(x) = (p)cosx + q. Sine functions always start at 0. So, the one that starts at (0, 0) is g(x) = (k)sinx.
Using the help image attached, we know that:
p and k = amplitude (top to midline)
Negative when cosx/sinx starts at the bottomq = vertical shift (movement of midline)
For f(x) = (p)cosx + q:
p = 2
q = -1
For g(x) = (k)sinx:
k = -1
Hope this helps!
How many minutes are in 3 hours?
There are 60 minutes in one hour.
Complete the table.
Answer:
180
Step-by-step explanation:
because there are 60 minutes in an hour and you need 3 you need to add 60 + 60 + 60 or your can do 60 x 3 which equals 180
Answer:
180 minutes
Step-by-step explanation:
1 hour - 60 minutes
2 hours - 120 minutes
3 hours - 180 minutes
Because there is 60 minutes in an hour, you can do 60 x 3 = 180. This will directly tell us how many minutes are in 3 hours. Or, you can add 60 minutes 3 times for 3 hours.
So, 60 x 3 = 180. There are 180 minutes in 3 hours.
Which shapes show equivalent fractions?
A.shapes A and B
B.shapes A and D
C.shapes B and C
D.shapes A, B, and D
Answer:
B.shapes A and D
Step-by-step explanation:
Cuz if u see very carefully u will see they are cubes (except b) and A and D had one of its side's covered so the answer is simply A and D
Work out
2 × 1015
8 × 108
Give your answer in standard form
Answer:
2.03 × 103 and 8.64 × 102
Step-by-step explanation:
A ball is thrown from an initial height of 3 feet with an initial upward velocity of 44 ft/s. The ball's height h (in feet) after seconds is given by the following.
h = 3+44t-16t^2
Find all values of t which the balls height is 23 feet.
Answer:
See below ↓↓
Step-by-step explanation:
Given function
h = 3 + 44t - 16t²We need to calculate the possible values of t at h = 23 feet.
Subsituting h = 23,
23 = 3 + 44t - 16t²16t² - 44t + 20 = 0Divide throughout by 4 as it is a common factor4t² - 11t + 5 = 0Solving for 't' using quadratic formula
t = 11 ± √121 - 4(4)(5) / 8t = 11 ± √41 / 8Solutions
t = 11 + 6.4 / 8 = 17.4/8 = 2.175 secondst = 11 - 6.4 / 8 = 4.6/8 = 0.575 secondsAnswer:
t = 2.175 s (3 dp)
t = 0.575 s (3 dp)
Step-by-step explanation:
Given equation: [tex]h=3+44t-16t^2[/tex]
To find all values of t for which the ball's height is 23 ft, substitute h = 20 into the equation and solve for t:
[tex]\implies h=23[/tex]
[tex]\implies 3+44t-16t^2=23[/tex]
[tex]\implies 16t^2-44t-3+23=0[/tex]
[tex]\implies 16t^2-44t+20=0[/tex]
Factor out common term 4:
[tex]\implies 4(4t^2-11t+5)=0[/tex]
Divide both sides by 4:
[tex]\implies 4t^2-11t+5=0[/tex]
Quadratic formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
Use the quadratic formula to solve for t:
[tex]\implies t=\dfrac{-(-11) \pm \sqrt{(-11)^2-4(4)(5)} }{2(4)}[/tex]
[tex]\implies t=\dfrac{11 \pm \sqrt{41}}{8}[/tex]
Therefore,
t = 2.175 s (3 dp)t = 0.575 s (3 dp)Can y’all figure out the answer for me please
Answer:
Step-by-step explanation:
true
if angle BCA is 90° and angle EFD is 90°
and if C to A is 14, half of that is 7 which is what F to D is
Write an equation of the line in slope-intercept form.
y=
Answer:
The equation of the line in slope intercept form is y=1/3x+2
Step-by-step explanation:
14,15,3,15,14,14,18,15,8 mean ,mode,median determine which measure of center best represenrs the data
Answer:
Mean: 12.9
Mode: 14,15
Median: 14
Step-by-step explanation:
angle 1- what degree
Answer:
22 degrees
Step-by-step explanation:
The two bottom sides have the same angle which is 79 and all the angles must add up to 180, so 79 plus 79 is 158 and 180 minus 158 is 22.
Hope this helps.
BTW it's my birthday
Answer:
25°
Step-by-step explanation:
Exterior angle property of triangle:
Exterior angle of a triangle equals the sum of oppositer interior angles.
∠1 + 79 = 104
Subtract 79 from both sides
∠1 = 104 - 79
∠1 = 25°
Help picture below problem 16
Answer:
Regular Hexagon
Step-by-step explanation:
There are six sides and all sides are equal
) Find the value of b for which 50y +150 is a factor of y3 – by2 +by+3b.
[tex]f(y) = y^3-by^2+by+3b\\\\\text{Since 50y+150 is a factor of f(y), }\\\\~~~~~f\left ( -\dfrac{150}{50}\right) = 0 \\\\\implies f(-3)=0 \\\\\implies (-3)^3 -b(-3)^2+b(-3)+3b =0\\\\\implies -27-9b-3b+3b=0\\\\\implies -27-9b =0\\\\\implies 9b = -27\\\\\implies b = -\dfrac{27}9\\\\\implies b = -3[/tex]
I need to know the answer now please and thank you
27 + x = 42 what is the value of x
Answer: x = 15
Step-by-step explanation:
Given:
27 + x = 42
Subtract 27 from both sides of the equation:
x = 15
27 + x = 42
Subtract 27 from both sides:
X = 15
how would the equation be written with an amplitude of 3 maximum of 4 minimum of -2 period of 4 and midline of 1 (Will report scams)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here we go ~
The required equation is :
[tex] \qquad \sf \dashrightarrow\: y = asin(bx) +k [/tex]
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
[tex] \qquad\dashrightarrow \sf\: y = -3sin(\frac{\pi}{2}x)+1 [/tex]
help me find Find m< G .
Answer:
∠G=110°
Step-by-step explanation:
The 4 interior angles of a kite add up to 360. 100+40=140. 360-140=220. E and G are the only angles left so we know together they must equal 220. And ∠E and ∠G are congruent angles beceause of kite rules. So, we divide by 2 to get how much angle E and G are individually.
What is the surface area of this rectangular prism?
SA =
ft2
Answer:1,504
Step-by-step explanation:
20x16=320
20x12=240
16x12=192
16x20=320
12x16=192
12x20=240
add them all the answer will be 1,504
at a certain wedding, 14/25 of the guests were over 25 years old.
Rewrite the fraction in the sentence below as a percentage.
Answer:
56% of the guests were over 25 years old.
Step-by-step explanation:
To convert a fraction to a percentage, multiply the fraction by 100. So, 14/25 can be multiplied by 4 to get 56/100, which is the same as 56%.
A polynomial function has – 5+ 3t as a root. Which of the following must also be a root of the function?
a
Radical roots occur as conjugate pairs
Given - 5 + t is a root , then
- 5 - t is also a root → a
Question 1 – A two-mass (pulley) system begins in the initial configuration shown in the figure. Once this system is allowed to
move, the cart will move to the right and the suspended mass will fall with the same (magnitude of) acceleration. Determine this
acceleration, A, of this system, and the force in the cable, F, accurate to 3 sig. dig.
Assume the pulley and cable has no mass.
Answer:
the suspended mass will fall with the same (magnitude of) acceleration. Determine this
accelerat
Step-by-step explanation:
What is the length of this rectangular prism?Is it 5 or 3 or 6 or 2
If x²+ y²= 80 and xy = 12, find the value of (x - y)².
[tex](x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56[/tex]
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Answer:
b = 0.62
Step-by-step explanation:
Hello!
We can look at the y-values of the function to find our multiplier. A multiplier will determine if the graph decays or grows in an exponential function, and by how much.
When x is 0, we can see the y-value is around 3, but as x approaches 1, the y-value comes to around 2.
We can find the multiplier by dividing the current term by the previous term.
2 ÷ 32/30.6666...This number is closest to 0.62, so the approximation is 0.62.
2/3
0.6666..
Approximation is 0.62 (b)
Hope this helped! Stay healthy!♡
Write the rate in lowest terms.
A printer can print 14 pages in 56 sec.
The rate in lowest terms is ______ ?
Answer:
1 page in 4 sec.
Step-by-step explanation:
To find the rate in lowest terms, divide the 14 pages by 56 seconds and find the simplest fraction.
14/56 = 1/4 in simplest terms.
This means the rate is 1 page in 4 seconds.