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.
To know more about the domain follow
https://brainly.com/question/26098895
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write 19/41 in lowest forms
Answer:
19/41
Step-by-step explanation:
this fraction cannot be simplified since 19 is a prime number.
What is 5g+7g and g(5+7)?
Answer:
12g and 12g
Step-by-step explanation:
5g + 7g = 12g
g(5+7) = g(12) = 12g
What is the 15th term in the sequence with the given formula?
An = 7n – 10
what is1 00 + 84 – 62x = 494
Debby used a garden hose to fill up a 4-gallon bucket in just 1/6 of a minute. At what rate does water flow through the hose?
Answer:
24 gallons
Step-by-step explanation:
Jamie sees a sale at the Gaming Store where all games are the same price. He buys 3 video games. His sister talks him into also buying two $1.50 candy bars and a $2.00 drink for a total of $57.50. Write an equation to find the price of one video game.
Answer: 3x + 5 = 57.50
Step-by-step explanation:
Assume that the price of one video game is x. Jamie bought 3 video games so the expression will be:
= 3x
His sister talked him into buying two $1.50 candy bars and a $2.00 drink. The total of this is:
= 1.50 + 1.50 + 2.00
= $5.00
The total amount spent on both the video game and the snacks is $57.50. Equation will therefore be:
3x + 5 = 57.50
Can someone please help me with math.
Please help! I need answers for both questions it’s very confusing!
Answer:
for number 5 its:
-15 -8 8/9 -3.3
and for number 6 its:
-3.3 -8 8/9 and -15
also sorry if its wrong
Need help ASAP please help
A triangular pyramid has a volume of 48 in3. The base edge is 9 in and the base height is 4 in. Find the height of the pyramid.
Answer:
8 in
Step-by-step explanation:
First of all we have to find the area of the base triangle.
For do this we can use this formula:
A = (base edge x base height)/2
A = (9 x 4)/2 = 18 in^2
The formula for find the volume of a pyramid is:
V= Base area x height)/3
So the height can be find in this way
3 x V = base area x height
height = (3 x V)/base area
height = (3 x 48)/18 = 8 in
Answer:
pretty sure it is 8in I think
plzzzzz help i really need it guys thxxxxxxxx!
Answer:
11. m=-1/4 b=5 equation is y=-1/4x+5
12.m=4/3 b=0 equation is y=4/3x
Step-by-step explanation:
Need help with this asap!
Answer:
Step-by-step explanation:
area circle = πr² or π(d/2)² but how to find the diameter?
The only angles I can see to calculate is in the small right triangle
The smaller angle on the right is ...
sin Ф = opp/hyp = 6/10 Ф = 36.87°
This angle is the same as the small angle on the LARGE right triangle
So now I want to calculate the side (diameter) opposite the smaller angle
sin Ф = opp/hyp = diameter/300 = sin 36.87°
diameter = 300 sin 36.87°
= 300 (6/10)
= 180 ft
area circle = πr² or π(d/2)²
area circle = π(180/2)²
area circle = 25446 ft² which is close to answer A 25434 ft²
There is actual no need to find the sin Ф wasted step
just use 6/10 small triangle is similar to diameter/300 the large triangle
opp / hyp small 6/10 = diameter/300 diameter = 180
area circle = π(180/2)² = 25446
The Smiths spend 8% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $3,920 on entertainment. What was their total budget last year?
Answer:
4.8
Step-by-step explanation:
What is the solution to this system of linear equations?
Answer: To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations.
Step-by-step explanation: hope this helps
I'm not exactly sure what this question is asking? This is all information that is given. I don't really need an answer and I could just figure out the rest from there-
Answer:
i think it wants you to find how mnay cubits the pyramid is- but like how are you supposed to do that with the info given hdjbfsd sorry shawty i would ask a teacher on this one :(
Step-by-step explanation:
Are you an equation because you are driving me crazy...
Sheeeeeeeeeeeeeeeeesh, whats the snap???
Step-by-step explanation:
A rectangular tank with length 50 cm and width 30 cm contains 36 litres of water. Find the depth of the water.
Answer:
24cm
Step-by-step explanation:
Given data
Length=50cm
Width= 30cm
Volume = 36liters
=36000cm^3
We know that the expression for volume is
V= L*W*H
substitute
36000=50*30*H
36000= 1500*H
H= 36000/1500
H= 24cm
Hence the height is 24cm
it's been 2 hours and no one answered my question what the heck
Answer:
Ask it again and more people will have a chance to see it
Step-by-step explanation:
Each quadrilateral below is a parallelogram . find the missing measures .
Answer:
AD = 8
DC = 15
m∠A = 112°
m∠B = 68°
m∠C = °
Step-by-step explanation:
If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.
To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.
To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.
To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.
180 - 68 = 112.
To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.
And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.
PLEASE HELP
Is th function shown a linear function?
EXPLAIN PLZZ
NO LINK
Which graph best represents the equation 2x + 4y = -8?
Answer:
y = -1/2x - 2
Step-by-step explanation:
2x + 4y = -8
4y = -2x - 8
y = -1/2x - 2
jane leaves her bicycle at 8:00 AM, traveling at an average speed of 15mph. her brother frank leaves home in his car at 10:30 AM, traveling the same route as Jane at an average speed of 40 mph. at what time will they meet? i will give brainliest
Answer: 11:00
Step-by-step explanation:
Answer: 11:00
Step-by-step explanation:
Which inequality represents this situation?
The number of students, s, who ride in a bus is less than 30.
s< 30
s> 30
S 30
ss 30
Answer:
s<30
Step-by-step explanation:
s is the number of students. the staement says the number of students is less than 30
Vani signed up for a streaming music service that costs $12 per month. The service allows Vani to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1.25 per song. How much total money would Vani have to pay in a month in which she downloaded 30 songs? How much would she have to pay if she downloaded s songs?
Answer:
49.5$
Step-by-step explanation:
first you need to multiply 1.25*30 which will give you 37.5 then from there add the monthly cost which is 12$ giving you the total of 49.5$
Question of
Two sides of a trangle have the following measures 7, 10 Find the range of possible measures for the third side.
Answer:
3 < x < 17
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
10 - 7 < x < 10 + 7
3 < x < 17
Program the VR Robot to drive in a square. Make each side of the square 3 grid squares long. What is the area of your square in mm? Use a calculator and/or pencil and paper to find out.
Answer:
9 mm squared
Step-by-step explanation:
hope this helps, lol :b
un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco
Answer:
El pH del refresco es 3.42.
Step-by-step explanation:
Se puede calcular el pH del refresco usando la siguiente fórmula:
[tex]pH = -log([H^{+}])[/tex]
En donde:
[H⁺]: es la cocentración de los iones H⁺ de la solución
Entonces, el pH es:
[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]
El resutlado obtenido nos permite concluir que ese refresco es ácido.
Por lo tanto, el pH del refresco es 3.42.
Espero que te sea de utilidad!
Usando su fórmula, se encuentra que el valor de PH de ese refresco es dado por 3.42.
Cual es la fórmula para el valor de PH?Es dada por:
[tex]pH = -\log{H^{+}}[/tex]
Onde [tex]H^+[/tex] es la concentración.
En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:
[tex]pH = -\log{H^{+}}[/tex]
[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]
[tex]pH = 3.42[/tex]
El valor de PH de ese refresco es dado por 3.42.
Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414
9=7+a
a+8=b+5
what is b
Answer:
b=5
Step-by-step explanation:
9=7+a
-7
2=a
a+8=b+5
10=b+5
-5
5=b or b=5
Brittany bought 3 bracelets and 2 necklaces for $21. Each bracelet cost $5. The necklaces were all the same price. What is the cost for 1 necklace?
Answer:
The cost for 1 necklace is $3.
Step-by-step explanation:
With the information provided, you can say that the amount spent in bracelets and necklaces is equal to the price per bracelet for the number of bracelets plus the price per necklace for the number of necklaces, which is:
c=3x+2y, where:
c is the total cost
x is the price per bracelet
y is the price per necklace
Now, you can say that c=21 and x=5 and solve for y to find the price per necklace:
21=(3*5)+2y
21=15+2y
21-15=2y
6=2y
y=6/2
y=3
According to this, the answer is that the cost for 1 necklace is $3.
100 points!
At what point(s) do these graphs intersect? y=x^2 = 3x-5
y=4x+1
Seth’s solution:
y=x^2 +3x-5
y=4x+1
x^2 =3x-5=4x+1
x^2 -x-6=0
(x-3)(x+2)=0
x=3 and x=-2
The graphs intersect at (-2,0) and (3,0).
Is Seth's solution correct? Explain.
Answer:
Solution is correct till finding the roots:
x = 3, x = -2Then Seth should find the respective y- points using either equation:
y = 4*3 + 1 = 13and
y = -2*4 + 1 = -7Correct solution is:
(3, 13) and (-2, -7)Answer:
Seth's answer is incorrect.
Step-by-step explanation:
He is correct with all of his steps until he reaches the roots... the correct roots are, y = 4(3) + 1 = 13 y = 4(-2) + 1 = -7
So the correct answer would actually be: The graphs intersect at the coordinates (3,13) and (-2,-7)