Answer:
The domain is the set of all the values of x.
The range is the set of all the values of y.
Domain:{ 4 , 6 , 3 , 5 , 7 }
Range: { 6 , 10 , 3 , 9 , 4 , 8 }
Answer: Domain: (3,4,5,6,7) Range:(3,4,6,8,9,10)
Step-by-step explanation: Domain is all the x values and range is all the y values
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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(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
I've always has trouble with graphs does anyone really understand this?
Answer:
yes..the slope is rise over run...the slope is -3
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:
Pythagorean Theorem:a2 + b2 = c2
Re−write the formula solving for b2 .
Answer:
b2= a2-c2. that is the formula while making b2 subject
Answer:
[tex]b=\sqrt{c^2-a^2}[/tex]
Step-by-step explanation:
a² + b² = c²
~Subtract a² to both sides
b² = c² - a²
~Take square root of both sides
b = ±√c²-a²
Best of Luck!
I NEED HELP FAST PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
1) 10 miles
2) 6 inches
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
What is the solution to the following equation? 9x -5x + 11 = 4x -11
Answer:
the answer is no solution
Step-by-step explanation:
when u solve you end up with 0= -22
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:
The sharks foot ball team lost 5 yards in each of their three downs. Since the product of 3 and -5 is -15 the team lost a total of 15 yards in those three downs
Answer:
The answer is below
Step-by-step explanation:
A football team lost 5 yards on each of 3 plays. Explain how you could use a number line to find the team's change in field position after the 3 plays.
Solution:
Number line is a straight line on which numbers are marked and are separated at regular intervals. A number line can be used for both addition and subtraction. Addition is done by counting to the right while subtraction is done by counting to the left.
Given that the football team lost 5 yards in each of their three downs, this is the same as 3(-5) = (-5) + (-5) + (-5)
Hence since it is negative we move to the left. Starting from 0, we move 5 units to the left 3 times, this gives -15
Answer:
b^itch as^s do ur own work
Step-by-step explanation:
PLEASE HELP! 20 points
Answer: 60
Step-by-step explanation:
subtract 24 from 144, then divide each side by 2. x=60
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.
Problem 6:
*I understand how to complete the problem but I am stuck on trying to find the common difference for population 1. It's the only thing I need help with for this problem.*
The table shows two sloth populations growing over time.
time (years since 1990)
0
1
2
3
4
5
6
7
8
population 1 (thousands)
0, 90.0
1, 76.5
2, 65.0
3, 55.3
4, 47.0
population 2 (thousands)
0, 39
1, 37
2, 35
3, 33
4, 31
1. Describe a pattern in how each population changed from one year to the next.
2. These patterns continued for many years. Based on this information, fill in the extra rows in the table.
3. On the same axes, draw graphs of the two populations over time.
4. Does Population 2 ever equal Population 1? If so, when? Explain or show your reasoning.
Graphs and functions can be used to illustrate real life events.
The pattern is that; population decreases by 15% each year, while population reduces by 2000 each yearPopulation 2 and Population 1 have equal values twiceThe table is given as:
[tex]\left[\begin{array}{cccccccccc}Time&0&1&2&3&4&5&6&7&8\\P_1&90.0&76.5&65.0&55.3&47.0\\P_2&39&37&35&33&31\end{array}\right][/tex]
(a) The pattern in each population
Population 1
This population follows a geometric pattern.
The common ratio (r) is calculated by dividing the subsequent values of population 1.
We have:
[tex]r = \frac{P_1(1)}{P_1(0)}[/tex]
This gives
[tex]r = \frac{76.5}{90.0}[/tex]
[tex]r = 0.85[/tex]
Express as percentage
[tex]r = 85\%[/tex]
Next, we calculate the scale factor (k)
[tex]k = 1 - r[/tex]
[tex]k = 1 - 85\%[/tex]
[tex]k = 15\%[/tex]
Hence, the pattern of population 1 is: the population decreases by 15% each year
Population 2
This population follows an arithmetic pattern.
The common difference (d) is calculated by subtracting the subsequent values of population 1.
We have:
[tex]d = P_2(1) - P_2(0)[/tex]
[tex]d = 37 - 39[/tex]
[tex]d = -2[/tex]
-2 indicates that the population reduces, each year by 2000
(b) Complete the table
For population 1, we keep multiplying current population by 85%.
So, we have:
[tex]P_1(5) = 47.0 \times 85\% = 40.0[/tex]
[tex]P_1(6) = 40.0 \times 85\% = 34.0[/tex]
[tex]P_1(7) = 34.0 \times 85\% = 28.9[/tex]
[tex]P_1(8) = 28.9 \times 85\% = 24.6[/tex]
For population 2, we keep adding -2 to the current population
So, we have:
[tex]P_2(5) = 31 -2 = 29[/tex]
[tex]P_2(6) = 29 -2 = 27[/tex]
[tex]P_2(7) = 27 -2 = 25[/tex]
[tex]P_2(8) = 25 -2 = 23[/tex]
So, the complete table is:
[tex]\left[\begin{array}{cccccccccc}Time&0&1&2&3&4&5&6&7&8\\P_1&90.0&76.5&65.0&55.3&47.0&40.0&34.0&28.9&24.6\\P_2&39&37&35&33&31&29&27&25&23\end{array}\right][/tex]
(c) The graph of the two populations
First, we determine the equations of both populations
Population 1
We have:
[tex]P_1(0) = 90.0[/tex]
[tex]r = 0.85[/tex]
The nth term of a geometric sequence is:
[tex]P_1(n) = P_1(0) \times r^n[/tex]
This gives
[tex]P_1(n) = 90.0 \times 0.85^n[/tex]
Population 1
We have:
[tex]P_2(0) = 39[/tex]
[tex]d = -2[/tex]
The nth term of an arithmetic sequence is:
[tex]P_2(n) = P_1(0) + nd[/tex]
This gives
[tex]P_2(n) = 39 -2 \times n[/tex]
[tex]P_2(n) = 39 -2n[/tex]
See attachment for the graphs of:
[tex]P_1(n) = 90.0 \times 0.85^n[/tex] and [tex]P_2(n) = 39 -2n[/tex]
(d) Determine if both populations ever have the same value
From the attached image, the graph of both populations intersect at:
[tex](8.891,21.218)[/tex] and [tex](16.337,6.327)[/tex]
This means that both populations have equal values, twice
Read more about graphs and functions at:
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[1\4]∧-3 -27∧4/3 pls help me solve for it
Answer:
-17
Step-by-step explanation:
3. If y = -4 when x = 1/2, find y when = 2/3. MUST SHOW ALL WORK on
separate sheet of paper.
Answer:
its 21/40
Step-by-step explanation:
A complex shape made of 2 shapes. Shape 1 measures 2 centimeters by 1 centimeter. Shape 2 measures 1 centimeter by 1 centimeter. What is the area of the shape? 3 square centimeters 4 square centimeters 6 square centimeters 9 square centimeters
Answer:
77
Step-by-step explanation
add
Help!! Please!! I WILL DO ANYTHING
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
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 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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PLEASE HELPPP!!! Solve r to the nearest tenth of a centimetre.
Answer:
r = 2.7 cm
Step-by-step explanation:
From the figure attached,
To find the value of 'r' we will apply the sine rule in ΔRST,
sin(m∠R) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(20)° = [tex]\frac{r}{SR}[/tex]
sin(20)° = [tex]\frac{r}{8}[/tex]
r = 8sin(20)°
r = 8(0.34202)
r = 2.736
r ≈ 2.7 cm
PLSS HELP YALLLLLLLLL
Which equation shows the correct use of the Distributive Property?
−4(3/2x−1/2)=−15
A- 6x + 4 = –15
B- 2x – 1/2 = –15
C- –6x – 2 = –15
D- –6x + 2 = –15
Answer:
D
Step-by-step explanation:
Hope this helped!
Happy Halloween!
A line that includes the point (9, −4) has a slope of −16. What is its equation in point-slope form?
Answer:
y+4= -16(x-9)
Step-by-step explanation:
point slope form is y-y1=m(x-x1)
substitute y-(-4)= -16(x-9)
simplify y+4= -16(x-9)
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
You roll a single die numbered from 1 to 6.
What is the probability of rolling an odd
number, expressed as a fraction?
Answer: SEE EXPLANTION!
Step-by-step explanation:
In rolling a die once, you do have a 1/6 chance of getting 6. In rolling a die once (for the second roll), you do have a 1/2 chance of getting an odd number (getting 1, or 3 or 5).
Thank you!
Answer:
1/2.
Step-by-step explanation:
There are 3 odd numbers on the die (1, 3, 5) and 3 even numbers (2, 4, 6). So, the probability would be 3/6 (3 odd out of a total 6 numbers), which simplfies to 1/2.
Devina made a quilt using 142 pieces of fabric. She used 4 times as many fabric pieces to make a second quilt. For her third quilt, she doubled the number of fabric pieces that she used in her second quilt. How many fabric pieces did she use in the third quilt?
Answer:
She used 1,136 fabrics in her third quilt
Step-by-step explanation:
For the first quilt, the number of fabrics used is 142
second quilt is 4 times this = 142 * 4 = 568 quilts
For the third quilt, she doubled the number of fabrics used
That will be 2 * 568 = 1,136 quilts
pls help with shown work part dos
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
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
An ice cream shop has a selection of 10 flavors of ice cream and 5 toppings. The first menu option lets you pick three flavors and two toppings for $3.75. How many combinations can be created with the first menu option, assuming you pick different flavors of ice cream and different toppings?
Answer:
Here we want to find all the possible combinations that we can make,
First, let's define the selections that we have, and the number of options for each one of these selections. (Remember that each option can be selected only once)
we have 3 flavors and 2 toppings, so let's analyze this case:
First flavor ----- here we have 10 options
Second flavor ---- because we already selected one before, now we have 9 options.
Third flavor ---- because we already selected two before, now we have 8 options.
First topping --- here we have 5 options,
Second topping --- because we already selected one before, here we have 4 options.
Now the total number of possible combinations will be equal to the product between the number of options for each selection:
C = 10*9*8*5*4 = 14,400
