Answer:
answer is 8x+10x
18x
is the answer
g(t)=-(t-1)^2+5
Over which interval does g have an average rate of change of zero?
Answer:
(0, 2)
Step-by-step explanation:
The graph of g(t)= -(t-1)^2+5 is an inverted parabola with vertex at (1, 5).
Making a table of t and g values would be helpful here:
t g(t) = -(t - 1)^2 + 5
------ -----
2 4
0 4
-1 1
1 5
We're looking for an interval on which the average rate of change is zero.
Note that this is the case on the interval (2, 4); g(0) = g(2) = 4, so the change in g is 4 - 4, or zero (0).
The average rate of change of [tex]g(t)=-(t-1)^2+5[/tex] is 0 in interval [tex]-1\leq t\leq 3[/tex].
Given,
[tex]g(t)=-(t-1)^2+5\\[/tex].
We have to find the interval in which [tex]g(t)=-(t-1)^2+5\\[/tex] have an average rate of change of zero.
We know that, the function [tex]f(x)[/tex] will have average range of 0 when [tex]f(b)=f(a)[/tex].
Now we calculate g(1), g(2),g(3) and g(-1),
[tex]g(1)=-(1-1)^2+5\\g(1)=5[/tex]
[tex]g(2)=-(2-1)^2+5\\g(2)=-1+5\\g(2)=4[/tex]
[tex]g(3)=-(3-1)^2+5\\g(3)=-4+5\\g(3)=1[/tex]
[tex]g(-1)=-(-1-1)^2+5\\g(-1)=-4+5\\g(-1)=1[/tex]
Since,
[tex]g(3)=g(-1)=1[/tex] so the function [tex]g(t)=-(t-1)^2+5\\[/tex] has an average rate of zero at [tex]-1\leq t\leq 3[/tex].
For more details follow the link:
https://brainly.com/question/2530409
The 10 students on the Deca Team were trying to decide in what order they should
sit on the bench during the session. In how many different ways can they arrange
themselves from left (next to the coach) to right at the end of the bench)?
Answer:
3628800
Step-by-step explanation:
10 students were trying to decide in how many ways they can arrange themselves from left to right.
There are 10 spaces and 10 students are to be sit.
Let us think of the first student.
10 empty spaces are there, so first student has 10 options.
Now, there are 9 empty spaces, so second student has 9 options.
Now, there are 8 empty spaces, so third student has 8 options.
Now, there are 7 empty spaces, so fourth student has 7 options.
:
:
Last student will have only 1 option.
So total number of ways [tex]= 10 \times 9 \times 8 \times 7 \times .....\times 1 = 3628800[/tex]
OR
Simply we can use the formula:
Number of ways to arrange n persons in a straight line = [tex]n![/tex] = [tex]10! = 3628800[/tex]
Can someone help me please
Answer: valu of a
Step-by-step explanation: I Did the test
Answer:
The value of A affects the answer.
While hovering near the top of a waterfall in a national park at 4096 feet, a helicopter pilot accidentally drops his sunglasses. The height h (t )of the sunglasses after t seconds is given by the polynomial function h (t )equals negative 16 t squared plus 4096. When will the sunglasses hit the ground?
Answer:
This means that the sunglasses will hit the ground after 16 secondsStep-by-step explanation:
Given the height h (t )of the sunglasses after t seconds modeled by the polynomial function h(t ) = -16t²+ 4096
Since the sunglasses hit the ground, the height of the glass on the ground will be 0feet. Substituting h(t)= 0 into the formula to know the time it takes the glass to hit the ground will give;
0 = -16t²+ 4096
0+16t² = 4096
16t² = 4096
Dividing both sides by 16;
16t²/16 = 4096/16
t² = 256
Taking the square root of both sides
√t² = √256
t = 16 seconds
This means that the sunglasses will hit the ground after 16 seconds
A hockey stick is regularly $54.99, but is on sale for 20% off. What is the price of the hockey stick, including 13% tax?
Answer:
$49.71
Step-by-step explanation:
Take $54.99 - 20% to get $43.99 add 13% and get $49.71
What is the value of r in the equation?
-1.5(4-1)=-12
-6
Answer:
-4
Step-by-step explanation:
-1.5 (4-r) = -12 Distribute the -1.5.
-6 - 1.5r = -12 Add 6 to both sides.
-1.5r = 6 Divide both sides by -1.5.
r = -4
Answer:
[tex] \boxed{\sf r = - 4} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: r: \\ \sf \implies - 1.5(4 - r) = - 12 \\ \\ \sf Divide \: both \: sides \: of \: - 1.5(4 - r) = - 12 \: by \: - 1.5 : \\ \sf \implies \frac{ - 1.5(4 - r)}{ - 1.5} = \frac{ - 12}{ - 1.5} \\ \\ \sf \frac{ \cancel{ - 1.5}}{ \cancel{ - 1.5}} = 1 : \\ \sf \implies 4 - r = \frac{ - 20}{ - 1.5} \\ \\ \sf \frac{ - 20}{ - 1.5} = 8 : \\ \sf \implies 4 - r = 8 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies (4 - \boxed{ \sf 4}) - r = 8 - \boxed{ \sf 4} \\ \\ \sf 4 - 4 = 0 : \\ \sf \implies - r = 8 - 4 \\ \\ \sf 8 - 4 = 4 : \\ \sf \implies - r = \boxed{ \sf 4} \\ \\ \sf Multiply \: both \: sides \: of - r = 4 \: by \: - 1: \\ \sf \implies - r \times ( - 1) = 4 \times ( - 1) \\ \\ \sf - r \times ( - 1) = r : \\ \sf \implies r = 4 \times ( - 1) \\ \\ \sf \implies r = - 4[/tex]
The sum of the interior angles of a polygon is 9x³. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?
Answer:
n = 7
Step-by-step explanation:
The sum of the interior angles of a polygon is 9[tex]x^2[/tex]. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?
The sum of the interior angles of a concave polygon can be found using the formula S = (n - 2)*180.
n= number of sides of the polygon
n-2 * 180 = the sum of the interior angles
9[tex]x^2[/tex]= the sum of the interior angles
9[tex]x^2[/tex]= (n-2) *180
x= 3+ n
9 [tex](3+n)^{2}[/tex]=(n-2) *180
9 (9+6n+n^2) = (n-2) *180
81+54n+9n^2 = (n-2) *180
n = 7
10. 80 machines can produce 4800 identical pens in 5 hours. At this rate
a) how many pens would one machine produce in one hour?
b) how many pens would 25 machines produce in 7 hours?
Answer:
12 and 2100
Step-by-step explanation:
(a)
Divide 4800 by 5 for pens per hour produced by 80 machines.
4800 ÷ 5 = 960 pens per hour
Divide 960 by 80 for pens per hour produced by 1 machine.
960 ÷ 80 = 12
Thus 1 machine produces 12 pens per hour
(b)
Multiply 12 by 7 for pens produce in 7 hours by 1 machine.
12 × 7 = 84 pens per hour
Multiply 84 by 25 for pens produced in 1 hour by 25 machines.
84 × 25 = 2100
Thus 2100 pens are produced by 25 machines in 1 hour
the number 3^13 - 3^10 is divisible by
A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 8 tiles are in the Product spot in 2 columns with 4 rows: 1 is labeled + x squared, 1 is labeled + x, the 3 tiles below + x squared are labeled negative x, and the 3 tiles below the + x tile are labeled negative. What are the factors of the polynomial? (x − 1) and (x + 3) (x + 1) and (x − 3) (x − 2) and (x + 3) (x + 2) and (x − 3)
Answer:
The factors of the polynomial are:
(x + 1) and (x - 3).
Step-by-step explanation:
Consider the image attached.
The upper tiles shows: (x + 1)
And the left tiles shows: (x - 3)
So, the factors of the polynomial are:
(x + 1) and (x - 3).
Answer:
x+1 and x -3
Step-by-step explanation:
3. Find the cost of 1 km of pipe at 7 cents for every 40 cm.
Answer:
$175.
Step-by-step explanation:
There are 100 centimeters in meter and 1000 metres in a kilometer so we have 100,000 cm in a kilometer.
So the required cost
= 0.07 * 100,000 / 40
= 7000 / 40
= $175.
Answer:
Hello! :) The answer will be under “Explanation”
Step-by-step explanation:
As my answer I got $175
1km would equal to 100,000 cm
1m would be 100cm
That means 1 km = 100 000 cm
Now you have to divide.
100,000 divided by 40 equals to 2,500($0.07)
=$175
If we do the math correctly we can now see that the answer should be $175
Hope this helps! :)
By:BrainlyMember ^-^
Good luck!
Express as a trinomial (2x-5) (3x-8)
Answer:
6x^2 -31x +40
Step-by-step explanation:
2x * 3x + 2x * - 8 + -5 * 3x -5 * -8 Distributive property
6x^2 -16x -15x + 40 Math
6x^2 -31x +40 Answer
Find the next 4 terms of this Fibonacci sequence -x, x+y, y
Answer:
see explanation
Step-by-step explanation:
Any term in a Fibonacci sequence is the sum of the previous 2 terms.
Given the first 3 terms then
a₄ = a₂ + a₃ = x + y + y = x + 2y
a₅ = a₃ + a₄ = y + x + 2y = x + 3y
a₆ = a₄ + a₅ = x + 2y + x + 3y = 2x + 5y
a₇ = a₅ + a₆ = x + 3y + 2x + 5y = 3x + 8y
Thus the next four terms are
x + 2y, x + 3y, 2x + 5y, 3x + 8y
easy 20 points pls answer i need it fast
Answer:
2.94117647
Step-by-step explanation:
17 x 2 = 34
50 -34 = 16
The answer is 2 with a remainder of 16
Lisa is currently taking physics as one of her electives in school. Her grade at the end of the year is determined by the average of four exams, each worth 100 points. On her first test she got an 84, on her second she got a 92, and on her third an 80. What must she score on her fourth exam to get exactly 80% in the course?
Answer: 64
Step-by-step explanation:
From the question, we are informed that Lisa is currently taking physics as one of her electives in school and that her grade at the end of the year is determined by the average of four exams, each worth 100 points.
First test = 84,
Second test = 92
Third test = 80
Forth test = y
The fourth test is denoted by y.
Since we are told that she must get exactly 80% in the course and she took 4 exams, that means her total score will be: = 80 × 4 = 320
Therefore,
84 + 92 + 80 + y = 320
256 + y = 320
y = 320 - 256
y = 64
The fourth exam's score is 64
Solve the system of equations. y=x^2-5 y=2x+3
None of these answers work. I believe you recorded the equations incorrectly.
the picture is the qestion
Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbor’s dogs. How many days will Maisie have to walk the dogs to earn enough money to buy the tickets? Let d = the number of days worked. What equation will you use to solve this word problem? What equivalent equation can you write after combining like terms? How many days will Maisie have to walk the dogs?
Answer:
15d + 50 = 125
15d = 75
5 days
Step-by-step explanation:
Her total must equal $125.
She has $50 so far.
50 + _____ = 125
In the blank, we will put what she will earn by walking the dogs.
Each day she will earn $15. In d number of days, she will earn 15d.
The equation is:
50 + 15d = 125
15d + 50 = 125
We can subtract 50 from both sides to get
15d = 75
Now we solve the equation to find the number of days.
We divide both sides by 15.
15d/15 = 75/15
d = 5
She will need to walk the dogs for 5 days.
B, A, C are the answers
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190. Approximately when will the projectile hit the ground? 1.5 seconds 3.2 seconds 5.3 seconds 6.2 seconds
Hello! :)
—————— ☆ ☆———————————————————————————-
Answer:
5.3 seconds
Step-by-step explanation:
The answer is 5.3 seconds because
If you solve this equation than you will see how it is 5.3 seconds.
Equation: [tex]h (t) = -16t ^ 2 + 48t + 190 [/tex]
Also if you graph it, the answer will be 5.3 seconds
—————— ☆ ☆————————————————————————————
Hope this helps! :)
By: BrainlyMember ^-^
Good luck!
Answer:
^ as the other person said, it's 5.3
Step-by-step explanation:
edge
9. A water glass can hold 2/9 of a litre of water. How many glasses of water can be filled with a 3 litre bottle?
Answer:
13.5 glasses of water
Step-by-step explanation:
If:
1 water glass can hold 2/9 of a litre
x water glasses can hold 3 litres.
Therefore, expressing it as a litre to glass ratio, we have::
[tex]\dfrac{2/9}{1}=\dfrac{3}{x} \\\dfrac{2}{9}x=3\\$Divide both sides by$ \dfrac{2}{9}\\x=3 \div \dfrac{2}{9}\\x=3 \times \dfrac{9}{2}\\\\x=13.5[/tex]
Therefore, 13.5 glasses of water can be filled with a 3 litre bottle.
Can someone write these decimals in order starting with the smallest please:) 0.6, 0.64, 0.06, 0.604, 0.0604
Answer:
[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]
Step-by-step explanation:
In ascending order: (starting from the smallest)
[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]
Answer:
.0604 < .604 < .06< .64 < .6
Step-by-step explanation:
.6= 6/10
.64=.64/100
.06=6/100
.604=604/1000
.0604=604/10000
20 points and brainliest!
Tree Diagrams
1. For what type of situation is a tree diagram a suitable way to organize information?
2. Explain how to read a tree diagram to determine the possible outcomes for that situation.
Answer: Use a tree diagram for conditional probability
The first branch lists the elements in the starting field-- how many items or outcomes. Like heads or tails, how many of each color of marbles or socks, etc. The next branch shows the set of outcomes from the first event and what is available for the next event. The branches are labeled with fractions to tell the chances of each outcome.
Step-by-step explanation:
A tree diagram is good for determining probability when there are multiple steps in the "draw" and multiple outcomes-- sometimes chances of event a and b "this and that" or event a or b "this or that"
You use the fractions on each branch to calculate the final outcome. If it's a and b, you multiply the fractions on each "trail" you follow through the branches to get the defined final outcome.
If it is a or b, you add the fractions to get the probability of the defined final outcome.
The vertex form of the equation of a parabola is y = = 6(x-2)²-8.
What is the standard form of the equation?
A. y = 12x2 - 6x + 8
B. y = 6x2 - - 24x + 16
c. y = 6x2 - 4x + 4
O D. y = 12x2 - 12x + 16
Answer:
B. y = 6x^2 - 24x + 16.
Step-by-step explanation:
y = 6(x - 2)^2 - 8
y = 6(x^2 -4x + 4) - 8
y = 6x^2 - 24x + 24 - 8
y = 6x^2 - 24x + 16.
Find the area of △ABC with side lengths b = 9 and c = 14, and included angle A = 145∘. Round your answer to the nearest tenth.
Answer:
12 as well 45 78 u want to go 89
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answer:
Abigail was four times faster in the skateboard than when she is walking
Step-by-step explanation:
Let the total distance to travel be d
distance traveled on skateboard = 2/3 * d = 2d/3
distance walked = 1/3 * d = d/3
So let the time taken to skate be t, then time taken to walk home will be 2t since it is 2 times longer.
Now, the speed on both trips is distance/time
For the snowboard trip, speed is 2d/3/t = 2d/3t
For the walking trip, distance would be;
d/3/2t = d/6t
So let’s compare these two speeds.
Obviously the speed on the skateboard is greater than that walking.
So we can equally divide the speed on the skateboard by that while walking to know how many times faster it is.
Thus, mathematically we have
2d/3t divided by d/6t
So that would be;
2d/3t * 6t/d = 4
So this means she was four times faster on the skateboard
Use the drawing tools to form the correct answer on the grid. Graph a linear function with these key features: positive on (-8, ∞) negative on (-∞, -8) y-intercept of 4 I NEED AN ANSWER ASAP plz help
Answer:
see below
Step-by-step explanation:
The positive/negative information tells you the x-intercept is (-8, 0). The y-intercept information tells you the y-intercept is (0, 4). Those two points are sufficient to let you draw the graph with a drawing tool.
__
A "linear function" is a straight line. This one goes through the points listed above.
I need help with this it’s URGENT!
Answer:
y = -7
Step-by-step explanation:
A horizontal line has an equation of the form
y = b,
where b = y-intercept
The y-intercept is -7, so the equation is
y = -7
Answer:
Y=-7
Step-by-step explanation:
No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).
For a class project, a teacher cuts out 15 congruent
circles from a single sheet of paper that measures 6
inches by 10 inches. How much paper is wasted?
O (60 - 152) square inches
O 150 square inches
O 45 square inches
O (60 - ) square inches
Answer:
its 60-15(pie) sq inches
Step-by-step explanation:
Find the circumference of the circle. Use
3.14 for T. Round to the nearest tenth.
16.4 miles
J
к
M
[? ]miles
Answer:
51.5 milesSolution,
Diameter(d)= 16.4 miles
Radius(r)= 16.4/2= 8.2
Circumference of the given circle= ?
Now,
Circumference of circle:
[tex]2\pi \: r[/tex]
= 2 * 3.14 * 8.2
= 51.496
= 51.5 miles
Hope this helps...
Good luck on your assignment..
Answer:
51.5 miles
Solution,
Diameter(d)= 16.4 miles
Radius(r)= 16.4/2= 8.2
Circumference of the given circle= ?
Now,
Circumference of circle:
= 2 * 3.14 * 8.2
= 51.496
= 51.5 miles
Simplify: ( ++)2 + ( −+)2 + ( +−)2
Answer:
[tex]-2[/tex]
Step-by-step explanation:
[tex]( ++)2 + ( -+)2 + ( +-)2[/tex]
[tex]++ = +[/tex]
[tex]-+ = -[/tex]
[tex]+- = -[/tex]
[tex]( +)2 + ( -)2 + ( -)2[/tex]
[tex]2-2-2[/tex]
[tex]=-2[/tex]