Answer:
f(x)=15 when: 0<x(less than or equal to)3
f(x)=22 when: 3<x<7
f(x)=30 when: 7(is less than or equal to)x
Part B- Evaluate the function for f(2): 15
Step-by-step explanation:
Algebra Nation; Section 8 topic 6
The domain of each function is the set of all possible values of t for which the function is defined. In this case, the domain of each function is:
For f(t) = 15: 0 < t ≤ 3
For f(t) = 22: 3 < t ≤ 7
For f(t) = 30: t > 7
How to calculate the domain?The admission prices at the amusement park can be represented as functions of the amount of time a customer spends at the park. Let's denote the amount of time by t (in hours). Then we can define the following functions:
For t ≤ 3: f(t) = 15
For 3 < t ≤ 7: f(t) = 22
For t > 7: f(t) = 30
The domain of each function is the set of all possible values of t for which the function is defined. In this case, the domain of each function is:
For f(t) = 15: 0 < t ≤ 3
For f(t) = 22: 3 < t ≤ 7
For f(t) = 30: t > 7
Note that the domain for each function reflects the fact that customers can only be charged according to the specified rates for the corresponding time intervals.
Additionally, since the amusement park is open for 15 hours a day, 7 days a week, we can say that the total operating time is 15 x 7 = 105 hours per week.
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A large farm tractor costs $98,424, If a farmer makes 36 equal payments, how much Is each payment?
Answer:
Step-by-step explanation:
2,734 is your answer.
The base of a ladder is 10 feet from the side of a building. The top of the ladder reaches a window that is 24 feet above the ground, What is the length of the ladder? A. 14 ft B. 22 ft C. 26 ft D. 34 ft
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Pythagorus theorem,
here, the perpendicular height = 24 ft and the base = 10ft ,
hence then length of the ladder is the Hypotenuse.
so we get as,
[tex]l \: = \sqrt{ {24}^{2} + {10}^{2} } [/tex]
[tex]l \: = \sqrt{576 + 100} [/tex]
[tex]l \: = \sqrt{676} [/tex]
hence, l = 26 ft
so the length of the ladder is 26 feets.
Answer: 26
Step-by-step explanation:
Find the maximum walking speed of a coyote with legs 0.46 m long. How much faster can a giraffe walk than a coyote?
Answer:
7.03 ft/s
Step-by-step explanation:
To obtain speed using the model :
Speed = sqrt(gL)
L = Length of leg, g = acceleration due to gravity
Length of leg of a giraffe = 6.03
g = 9.8 m/s or 32 ft/s²
Speed of giraffe in ft/s = sqrt(32 * 6.03) = 13.89 ft/ s
Speed of coyote ; L = 0.46 m
L in feets = 0.46 * 3.23 = 1.4858 feets
s = sqrt(1.4858 * 32) = 6.895 ft/s = 6.86 ft/s
Difference in speed :
13.89 - 6.86 = 7.03 ft/s
Giraffe has 7.03ft/s more speed Than a coyote
What is the slope and y - intercept of the function y = 2x + 1?
Answer:
Slope: 2/1 Y-Intercept: 1
Step-by-step explanation:
what is the value of x in this equation??
50+30x=250+10x
Answer:
x = 10
Step-by-step explanation:
PLEASE HELP!! ILL MARK BRAINLYEST!!
Which graph is best to show categorical data?
A. box-and-whisker plot
B. line graph
C. scatter plot
D. circle graph
Answer:
A
Step-by-step explanation:
Find the solution of 64 = 16u algebraically.
please I’m desperate
Answer:
u = 4
Step-by-step explanation:
Divide by 16 on both sides. [Division Property of Equality]
64/16 = 16u/16
u = 4
==================================================================Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
I need help with this
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
c the student who missed 14 items
Answer:
The answer is B: The student who missed 14 items caused the distribution to be skewed to the right.
what is the value of this questiom ?
hiii please help i’ll give brainliest:)
Answer:
I would choose A
Step-by-step explanation:
Can anyone explain how you graph things for example, like y=x-4 how would you graph that
Answer:
In basicallity if a question such as this pops up, the correct way to go would first be to graph this. y=x-4 would be equivalent to x=4.
My paper work is below:
y = x - 4
0 = x - 4
-x = -4
x = 4
Hope this helped..
Pls help me on this what is the correct answer
Answer:
C 61,705
Step-by-step explanation:
10.9% of 35,000 = 3,815
3,815 x 7 = 26,705 (interest is added per year and 3,815 is the interest amount)
35,000 + 26,705 = 61,705 ( the original loan plus the interest for 7 years)
In ADEF, the measure of
measure of ZD to the nearest degree.
E
52
X
F
D
14
Answer:
74 degrees
Step-by-step explanation:
Assuming we have the following
FD = 14
DE = 52
m<F = 90degrees
Required
m<D
DE = hypotenuse
FD = adjacent
Using the SOH CAH TOA identity
Cos m<D = adj/hyp
Cos m<D = 14/52
m<D = arccos(0.2692)
m<D = 74.38
m<D to the nearest degree is 74degrees
Find the 25th term: 53, 50, 47, 44, 41,
Answer:
-19
Step-by-step explanation:
38
35
32
29
26
23
20
17
14
11
8
5
2
-1
-4
-7
-10
-13
-16
-19
The 25th term of the given arithmetic sequence is -19.
The given arithmetic sequence is 53, 50, 47, 44, 41.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d
Here the first term of the sequence is a=53 and the common difference is
50-53=-3
Put, a=53, d=-3 and n=25 in the general form an arithmetic sequence, we get
a25=53+(25-1)×(-3)
= 53+24×(-3)
= 53-72
= -19
Therefore, the 25th term of the given arithmetic sequence is -19.
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once again some one good at 7th grad math i need your help
Answer:
(1.) -32.4 (2.) 99.94
Step-by-step explanation:
plz mark 5 str, helpful, and brainliest!
can some one give me a hand here???????
Sharon sells her doll collection online for $245. She budgets $23 of the money for bedroom decorations and $145 for the monthly payment on her clarinet. Her budget also includes $68 for books and $42 for music. Which is a true statement about Sharon’s budget?
Answers:
Sharon will have a balanced budget.
Sharon will have a budget defi cit of $133.
Sharon will have a budget surplus of $33.
Sharon will have a budget defi cit of $33.
help pls lol
Answer:
She have a budget deficit of 33
Step-by-step explanation:
The sum of the digits in a two digit number is 5. If 27 is subtracted from the number then places of the digits are interchanged. Find the number. Please answer this with clarification! Thankyou<3
Please find the attached photograph for your answer
What are the coordinates of the point on the directed line segment from (−1,−8) to (5,−2) that partitions the segment into a ratio of 1 to 2?
I need help quick
Answer:
There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].
Step-by-step explanation:
There are two possible options depending on what the point of origin is. Vectorially speaking, we can determine the coordinates of the point that partitions the segment is described below:
[tex]P(x,y) = A(x,y) + r\cdot [B(x,y) - A(x,y)][/tex] (1)
Where:
[tex]A(x,y)[/tex] - Point of origin.
[tex]B(x,y)[/tex] - Point of destination.
[tex]r[/tex] - Partition factor.
Option 1: [tex]A(x,y) = (-1, -8)[/tex], [tex]B(x,y) = (5, -2)[/tex], [tex]r = \frac{1}{3}[/tex]
[tex]P(x,y) = (-1, - 8) + \frac{1}{3}\cdot [(5,-2)-(-1,-8)][/tex]
[tex]P(x,y) = (-1, -8) + \frac{1}{3}\cdot (6,6)[/tex]
[tex]P(x,y) = (-1,-8) + (2,2)[/tex]
[tex]P(x,y) = (1, -6)[/tex]
Option 2: [tex]A(x,y) = (5,-2)[/tex], [tex]B(x,y) = (-1,-8)[/tex], [tex]r = \frac{1}{3}[/tex]
[tex]P(x,y) = (5,-2) + \frac{1}{3}\cdot [(-1,-8)-(5,-2)][/tex]
[tex]P(x,y) = (5,-2) +\frac{1}{3}\cdot (-6,-6)[/tex]
[tex]P(x,y) = (5,-2) +(-2,-2)[/tex]
[tex]P(x,y) = (3, -4)[/tex]
There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].
Mr. Crawford put $4500 into bank at an interest rate of 3%. How much money will she have in the back after 5 years?
Explain please. Brainlist if correct.
Answer:
He will have $5175.
Step-by-step explanation:
3% of 4500 is 135. 135x5=675. Add 675 to 4500 which equals 5175.
The figure below is a net for a right rectangular prism.
7 m
8 m
7 m
14 m
7 m
7 m
What is the surface area of the right rectangular prism, in
square meters?
The surface area of the right rectangular prism has a length of 7 m, a width of 8 m, and a height of 14 m, is 532 square meters.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
The figure below is a net for a right rectangular prism.
Then the surface area of the rectangular prism will be
Surface area = 2(LW + WH + HL)
Surface area = 2(7 × 8 + 8 × 14 + 14 × 7)
Surface area = 2(56 + 112 + 98)
Surface area = 2 × 266
Surface area = 532 square meters
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Expressions equivalent to 3^10
Answer:
59049+0
59048.1+0.9
59048.01+0.99
...
Step-by-step explanation:
There's infinite.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3^{10}}[/tex]
[tex]\mathsf{= 3\times 3\times3\times 3 \times 3\times 3\times3\times3\times3\times3 }[/tex]
[tex]\mathsf{3\times3 = \bf 9}[/tex]
[tex]= 9\times9\times 9\times 9\times9[/tex]
[tex]\mathsf{9\times9 = \bf 81}[/tex]
[tex]\mathsf{= 81\times81\times 9}[/tex]
[tex]\mathsf{81 \times 81 = \bf 6,561}[/tex]
[tex]\mathsf{= 6,561\times9}[/tex]
[tex]\mathsf{\bf = 59, 049}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 59,049}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I'll give you brainiest if you help me.
Answer:
88 degrees.
Step-by-step explanation:
Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)
Find the length of x.
Guys pls help me!!!!!!
Answer:
Horizontal lines have no vertical change -- it continues straight left or right. In other words, the change in the y values between any points on the graph is 0, since there is no change. This means that the slope of a horizontal line is 0
Step-by-step explanation:
hope this helps
Answer:
0
Step-by-step explanation:
The line's slope remains constant throughout, its a line that passes through the y - axis therefore it's slope will be 0.
Choose the expression that represents a quadratic expression.
A.) 6x4 − 5x3 + 3x2 −7x − 8
B.) 5x3 + 3x2 −7x − 8
C.) 2x2 + 3x − 1
D.) 3x − 1
Answer:
C. 2x^2 + 3x - 1
is the answer
Which of these quadrilaterals are rectangles?
Quadrilateral
Rectangle/Not rectangle
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TUT
D
>
Co
MY
Со
Answer:
a square can be a rectangle so I would think that the first and second option would be rectangles.
Step-by-step explanation:
I hope this helped sorry if not
A rectangle has an area of 30 square meters and a perimeter of 34 meters. What are the dimensions of the rectangle.
Answer:
15m times 2m
Step-by-step explanation:
Mr. pope lost 10 pounds in one month. At the end of the month, he weighed 240 pounds. By what percentage did Mr. Pope decrease he weight?
a. (4%)
b. (7%)
c.(10)
d.(15%)
Mr. Pope decreased his weight by 4 percent.
What is percentage?A percentage is a portion of a whole thing written as a number between 0 and 100 instead of fraction.
Given that, Mr. pope lost 10 pounds in one month. At the end of the month, he weighed 240 pounds.
we need to find the percentage of decrease of his weight,
So, basically we will use here the concept of percentage change,
Formula = final amount - initial amount / initial amount x 100
Since, he lost 10 pounds and has 240 pounds so, initially he weighted = 240 + 10 = 250 pounds
So, percentage decreased = -10 / 250 x 100 = -4% [minus is the sign for decrease]
Hence, Mr. Pope decreased his weight by 4 percent.
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