Answer:
Step-by-step explanation:
The domain are the values of the input variables x that will make the function exist.
Given the function:
f(x) = 65x
Note that x is the time and time cannot be negative. Hence the domain of the function will be all positive real numbers. It is expressed according to the set notation:
DOMAIN: [0, ∞)
The range are the values of the output function f(x) that will make the function exist. Since the minimum value of x is 0, then
at x =0 , f(x) = 65(0)
f(x) = 0
The minimum value of f(x) = 0
Hence the range can also exist on all positive real number.
RANGE: [0, ∞)
Help!! Please!! I WILL DO ANYTHING
The number line shows the solution to an inequality. 40 45 50 55 60 Create an inequality represented by the number line using the variable n. 1 1 2 3 4 5 6 + 7 > 8 9
Answer:
55
45-55
Step-by-step explanation:
Multiply (5t^6)(7t^3) =
Answer:
[tex]35t^{9}[/tex]
Step-by-step explanation:
Since you're multiplying these terms together, you would multiply the base numbers and add the exponents.
Base: 5 × 7 = 35
Exponents: 6 + 3 = 9
Hope this helps! I apologize if I'm incorrect
The multiplication of this expression (5t⁶)(7t³) is 35t⁹
To determine the multiply of
(5t⁶)(7t³)
First multiply the base numbers.
Base: 5 × 7 = 35
Then, add the exponents together
Exponents: 6 + 3 = 9
Therefore, the final expression is 35t⁹
Learn more about Exponents here:
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13.2 + 0.05 - 5.45 can u please solve it I need it right now really fast.
Answer:
7.8
Step-by-step explanation:
13.2 + 0.05 - 5.45
~Add
13.25 - 5.45
~Subtract
7.8
Best of Luck!
Answer:
7.8 is the answer
What is the factor of x*4-8x*2 +16
Answer: 12
Step-by-step explanation: x*4-8x*2 +16= −4⋅(3x−4)= 12
Keith has $500 in a savings account at the beginning of summer he wants to atleast have $200 at the end of summer he withdraws $25 per week for food clothing and movie tickets how many weeks can keth with draw from his account
Answer:
12 weeksStep-by-step explanation:
"Keith has $500 in a savings account at the beginning of summer he wants to atleast have $200 at the end of summer he withdraws $25 per week for food clothing and movie tickets how many weeks can keth with draw from his account"
given data
amount at hand=$500
amount expected= $200
weekly deduction from amount at hand=$25
Note: this is a reduction situation at a rate of $25
the expression for the situation is given as
y=c-mx
where y=200
c=500
m=25
substituting we have
200=500-25x
solving for x we have
200-500=-25x
-300=-25x
divide both sides by 25 we have
x=300/25
x=12 weeks
After a baby was born, he began to gain weight at a rate of 1.25 pounds per
month. The weight of the baby at birth was 7 pounds. Make a table of values
and then write an equation for W, in terms of t, representing weight, in
pounds, of the newborn baby t months after birth.
Answer:
W = 7 + 1.25t
0 month= 7
1 month = 8.25
2 month = 9.5
3 month = 10.75
If you find a piece of wood that is 35.57 cm long and you break
off 13.42 cm, how long is the piece of wood now?
cm
Answer:
22.15cm
Step-by-step explanation:
Answer:
22.15 cm
Step-by-step explanation:
35.57-13.42=22.15
PLEASE HELP! 20 points
Answer: 60
Step-by-step explanation:
subtract 24 from 144, then divide each side by 2. x=60
Green's Gym charges a one-time application fee of $50 plus $30 per session for a personal trainer. Breakout Gym charges an annual fee of $250 plus $10 for each session with a trainer. For how many sessions is the cost of the two plans the same? Write and solve an equation to represent this problem. Make sure to create a let statement: Example: Let s = number of gym sessions.
Answer:
10 sessions
Step-by-step explanation:
let s be the number of gym session
and let y be the cost
the cost can be represented as
y=ms+c
given data
Green's Gym
c=$50
m=$30
y=30s+50------------1
Breakout Gym
c=$250
m=$10
y=10s+250------------2
equating 1 and 2 we can find s, which is the number of session
30s+50=10s+250
30s-10s=250-50
20s=200
s=200/20
s=10
therefore the number of session is 10
can anyone help me with the bottom problem
Answer:
E
Step-by-step explanation:
they have the same dimensions it is just flipped around
Use the distributive property to write an equivalent expression. 4(16 + Y)
Answer:
46+y
Step-by-step explanation:
PLEASE HELP QUICK!!
Select the equation that is in Standard Form:
1.) y = 3x + 4
2.) 3y = 4x + 8
3.) 3x + 4y = 8
Answer: 3.) 3x+4y=8
Step-by-step explanation: It is in standard linear form AX+BY=C
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
not enough info
Step-by-step explanation:
unless there is a way to confirm the other 90° angle, u cant say anything. it would be asa if u could. not sure if this is 100% correct, the lines are perpendicular, so it would be 90, but idk lol
Answer: i think it is (A
Step-by-step explanation:
jill write's 2 to the 3 power times 4 to the 3 power =8 to the 6 power and the teacher marked it wrong. Explain Jill's error
Answer:
Jill did 2*4 = 8. and then she added 3+3 for the exponets. This led her to get 8 ^6. What she should have done instead of figure it out separately. This would have led her to get 8*64, which is, 8^3.
Step-by-step explanation:
I've always has trouble with graphs does anyone really understand this?
Answer:
yes..the slope is rise over run...the slope is -3
Communities A,B and C are faced with acurate water problem. The distance between A and B is 5km and that of A and C is 7km, the angle between path AB and Ac is 45 degree . If a well is to be dug for the communities such that it would have equal distance in the path linking each communities. A) indicate by using of sketching the exact place to dug the well. B) measure the distance between communities B and C
Answer:
B) The distance between communities B and c is 4.95 km.
Step-by-step explanation:
A) Join communities B and C. Then bisect angles A, B and C to determine the mid point equidistant to the three communities. The point where the three bisectors meet, w, is the exact place to dig the well.
The sketch is in the attachment to this answer.
B) Since we have two sides and an included angle, the cosine rule is applicable to determine a (distance between B and C).
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A
b = 7 km, c = 5 km and A = [tex]45^{o}[/tex]. So that;
[tex]a^{2}[/tex] = [tex]7^{2}[/tex] + [tex]5^{2}[/tex] - 2(5 x 7) Cos [tex]45^{o}[/tex]
= 49 + 25 - 70 x 0.7071
= 74 - 49.497
= 24.503
⇒ a = [tex]\sqrt{24.503}[/tex]
= 4.95
The distance between communities B and c is 4.95 km.
please help I'm so confused rn so please helppp!!!!!
look at the screenshot
Answer:
there's no screenshot attached
Cate and Elena were playing a card game. The stack of cards in the middle had 26 cards in it, to begin with. Cate added 5 cards to the stack. Elena then took 13 cards from the stack. Finally, Cate took 4 cards from the stack. How many cards were left in the stack?
Answer:
14
Step-by-step explanation:
so, 26+5-13-4=ANSWER!!!!!
26 cards to begin with.
Cate added 5 cards to the deck. +5
elena took 13 cards from the deck. -13
Cate took 4 cards from the deck. -4
hey i need someone to help me with this equation its confusing
Answer:
$4
Step-by-step explanation:
Sylvia: 35.50 + 6*16 = 131.50
Raul: 15.50 + 6*20 = 135.50
135.50 - 131.50 = 4
Flat fee is a one time cost. The hourly rate you have to multiply by the number of hours (6 in this case), and then add them.
100 POINTS COME HELP
Answer:
218
Step-by-step explanation:
Answer:
218
Step-by-step explanation:
(x2 + 2xy + y2)(x+1)
A) X3 + 2x2y + x2 + y2 +xy2
B) X2 + 2xy + y2
C) x3 + x2 +2x2y +xy2 + y2 + 2xy
D) x2 + y2 + 2xy + x + 1
Please show me how you solved it, I'm struggling with these and need an example to follow off of to complete the assignment so I can understand it better. Thank you!
Answer: x3 + x2 +2x2y +xy2 + y2 + 2xy
[1\4]∧-3 -27∧4/3 pls help me solve for it
Answer:
-17
Step-by-step explanation:
Mr. Jeffries has $72 in his wallet. He pays $67 in cash for groceries and withdraws $49 in cash from his bank account. How much can he spend before he has no cash left in his wallet?
Answer:
Step-by-step explanation:
72-67 is 5
49+5 is 54
he can spend 54 dollars
The path of a diver is modeled by the function f(x)=−9x2+9x+1, where f(x) is the height of the diver (in meters) above the water and x is the horizontal distance (in meters) from the end of the diving board.
a. What is the height of the diving board?
The diving board is
meter(s) high.
b. What is the maximum height of the diver?
The maximum height of the diver is
meter(s).
c. Describe where the diver is ascending and where the diver is descending. Round your answers to the nearest tenth, if necessary.
The diver is ascending from
meter(s) to
meter(s) and descending from
meter(s) until hitting the water after approximately
meter(s).
Answer:
A) the diving board is 1m high.
B) maximum height of the diver is 3.25 meter(s)
C)i)the diver is a ascending from 0 metres to 0.5 metres.
II) the diver descends from 0.5 metres to 1 m
Step-by-step explanation:
A) We are given the function;
f(x) = −9x² + 9x + 1
Now, the height of the diving board will be when x = 0 metres. This is because at x = 0, the driver didn't jump.
Thus;
f(0) = -9(0²) + 9(0) + 1
f(0) = 1 m
Thus, the diving board is 1m high.
B) From quadratic equations, we can say that in the given function, we have as follows;
a = -9
b = 9
c = 1
Now, a < 0
This means that the parabola opens down and it's vertex formula will be used and value of x plugged into the given function to get the maximum height.
Thus, vertex is;
x = -b/2a
x = -9/(2 × -9)
x = 1/2
x = 0.5 m
Thus;
Max height = -9(0.5²) + 9(0.5) + 1
Max height = 3.25 m
The maximum height of the diver is 3.25 meter(s)
C) Since the parabola opens down, the diver is ascending from 0 metres to 0.5 metres.
Similarly, the diver descends from 0.5 metres to 1 m
The path of the diver is an illustration of a quadratic function.
The height of the diving board is 1 meterThe maximum height of the diver is 3.25 mThe diver ascends from 0 meters to 0.5 metersThe function is given as:
[tex]\mathbf{f(x) = -9x^2 + 9x + 1}[/tex]
(a) The height of the diving board.
This is represented by the constant term in the function.
So, we have:
[tex]\mathbf{Height = 1}[/tex]
Hence, the height of the diving board is 1 meter
(b) The maximum height of the diver
We have:
[tex]\mathbf{f(x) = -9x^2 + 9x + 1}[/tex]
Differentiate
[tex]\mathbf{f'(x) = -18x + 9}[/tex]
Set to 0
[tex]\mathbf{-18x + 9 = 0}[/tex]
Collect like terms
[tex]\mathbf{18x = 9}[/tex]
Divide through by 18
[tex]\mathbf{x = 0.5}[/tex]
Calculate f(0.5)
[tex]\mathbf{f(x) = -9x^2 + 9x + 1}[/tex]
[tex]\mathbf{f(0.5) = -9(0.5)^2 + 9(0.5) +1}[/tex]
[tex]\mathbf{f(0.5) = 3.25}[/tex]
Hence, the maximum height of the diver is 3.25 m
(c) The depth, the diver ascends to
In (b), we have:
[tex]\mathbf{x = 0.5}[/tex]
This means that, the diver ascends from 0 meters to 0.5 meters
Read more about quadratic function at:
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A garden is in the shape of a square with a perimeter of 48 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside. If the material used to build the two fences is $ 1.21 per foot, what was the total cost of the fences?
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer:
Step-by-step explanation:
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer:
The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Step-by-step explanation:
numeros enteros cuyo valor absoluto sea menor que 11
Answer:
The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.
El valor absoluto de cualquier número positivo es el número en sí, por lo que 11 tiene 11 como valor absoluto. Además, el valor absoluto de un número negativo es su opuesto (positivo), por lo que también tiene 11 como valor absoluto.
Step-by-step explanation:
I NEED HELP FAST PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
1) 10 miles
2) 6 inches
pls help with shown work part dos