Answer:
300 - 5t means that Ann pays $300 - 5 times the number of guests she brings to the gym.
when t = 5, it equals $275
when t = 10, it equals $250
when t = 15, it equals $225
when t = 20, it equals $200
Step-by-step explanation:
the picture is the qestion
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:
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
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 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
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
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
Find the area of the triangle.
18.2 m
13 m
22.3 m
[ ? ] m2
Step-by-step explanation:
The area of triangle is 53.5m2
Answer: 118.2977 sq. m.
Step-by-step explanation:
Step 1: Calculate "s" (half of the triangles perimeter):
s = a+b+c / 2
s = (13 + 18.2 + 22.3) / 2
s = 26.75
Step 2: Then calculate the Area:
Herons formula
A = √( s(s-a)(s-b)(s-c) )
A = √(26.75 (26.75 - 13)(26.75-18.2)(26.75-22.3)
A = (3√9951535) /80
A = 118.2977 sq. m.
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
Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication
Answer:
Identity property of multiplication
Step-by-step explanation:
Given
Step 5: 1x = 20
Step 6: x = 20
Required
Property that justifies step 6
It should be noted that step 6 is a result of step 5.
So, basically the question is asking for the property applied on step 5.
Given that step 5 is: 1x = 20
The property applied is the identity property of multiplication.
This is so because this property states that when 1 is multiplied to an equation, the result remains the same.
Hence;
When 1 is multiplied to x (i.e. 1x), the result is still x.
So, 1x = 20 at step 5 gives x = 20 at step 6
Answer: Option B is the correct answer.
The identity property of addition
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]
If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? Which order pair is it? {(2, 1), (4, 2), (6, 3)} {(1, 2), (2, 4), (3, 6)} {(4, 0), (6, 1), (8, 2)} {(0, 4), (1, 6), (2, 8)}
Answer:
the fourth set
Step-by-step explanation:
if you plug this equation into desmos and look at the x-values, you will see that the fourth set is the only one with points that make this equation true.
Answer:
D
Step-by-step explanation:
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]
An initial deposit of $1200 is put into an account that earns 5% interest compounded annually. Each year year an additional of $1200 is added to the account. Whats the value of the account after the 10th deposit if no withdraws or additional deposits are made.
Answer:
$1788
Step-by-step explanation:
1200 x 0.07 = 84
84 × 7 = 588
588 + 1200 = 1788
The value of the account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.
Calculation of the value:Since
The initial deposit is $1.200
The rate of interest is 5%
Now the future value be like
[tex]= (1,200 \times (1 + 0.05)^{9} - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= 1,200 \times (1.5513 - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= (1,200 \times 11.0265) \times (1.05) + 1,200[/tex]
= 13893.4711 + 1,200
= $15,093.47
hence, The value of the account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.
Learn more about rate here: https://brainly.com/question/14835033
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.
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
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
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
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 number 3^13 - 3^10 is divisible by
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!
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:
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).
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
Samatha received $500 as a graduation present and decides to invest it in an account that is
compounded continuously. How much will be in the account at the end of 5 years if the interest
rate is 3%?
Answer:
Step-by-step explanation:
m= month
3÷100= 0.03
0.03×500=$15
$15/m
$15×5×12=$900
$500-$900=
Answer: -$400
g(t)=-(t-1)^2+5
Over which interval does g have an average rate of change of zero?
Answer:
(0, 2)
Step-by-step explanation:
The graph of g(t)= -(t-1)^2+5 is an inverted parabola with vertex at (1, 5).
Making a table of t and g values would be helpful here:
t g(t) = -(t - 1)^2 + 5
------ -----
2 4
0 4
-1 1
1 5
We're looking for an interval on which the average rate of change is zero.
Note that this is the case on the interval (2, 4); g(0) = g(2) = 4, so the change in g is 4 - 4, or zero (0).
The average rate of change of [tex]g(t)=-(t-1)^2+5[/tex] is 0 in interval [tex]-1\leq t\leq 3[/tex].
Given,
[tex]g(t)=-(t-1)^2+5\\[/tex].
We have to find the interval in which [tex]g(t)=-(t-1)^2+5\\[/tex] have an average rate of change of zero.
We know that, the function [tex]f(x)[/tex] will have average range of 0 when [tex]f(b)=f(a)[/tex].
Now we calculate g(1), g(2),g(3) and g(-1),
[tex]g(1)=-(1-1)^2+5\\g(1)=5[/tex]
[tex]g(2)=-(2-1)^2+5\\g(2)=-1+5\\g(2)=4[/tex]
[tex]g(3)=-(3-1)^2+5\\g(3)=-4+5\\g(3)=1[/tex]
[tex]g(-1)=-(-1-1)^2+5\\g(-1)=-4+5\\g(-1)=1[/tex]
Since,
[tex]g(3)=g(-1)=1[/tex] so the function [tex]g(t)=-(t-1)^2+5\\[/tex] has an average rate of zero at [tex]-1\leq t\leq 3[/tex].
For more details follow the link:
https://brainly.com/question/2530409
9. A water glass can hold 2/9 of a litre of water. How many glasses of water can be filled with a 3 litre bottle?
Answer:
13.5 glasses of water
Step-by-step explanation:
If:
1 water glass can hold 2/9 of a litre
x water glasses can hold 3 litres.
Therefore, expressing it as a litre to glass ratio, we have::
[tex]\dfrac{2/9}{1}=\dfrac{3}{x} \\\dfrac{2}{9}x=3\\$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.
2) What is the value of the digit 2 in the number 529?*
12
20
29
200
Answer:
20
Step-by-step explanation:
2 in 529 is in the tens place - 10
So if 2 is in the tens place, we have 20 as the value of 2.
Answer:
the answer to ur question would be 20 B)
Rewrite the equation by completing the square.
x^2 + 2x – 48 = 0
Answer:
(x+1)^2 = 49
x = 6 x = -8
Step-by-step explanation:
x^2 + 2x – 48 = 0
Add 48 to each side
x^2 + 2x =48
Take the coefficient of x
2
Divide by 2
2/2=1
Square it
1^2 =1
x^2 + 2x +1=48+1
x^2 +2x+1 = 49
(x+1)^2 = 49
Take the square root of each side
sqrt((x+1)^2) =±sqrt( 49)
x+1 = ±7
Subtract 1 from each side
x+1-1 = -1 ±7
x = -1+7 x = -1 -7
x = 6 x = -8
The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance?
Answer:
(a)Grade =7.5% (No warning sign is needed)
(b)Rise =90 feet
Step-by-step explanation:
[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]
(a)
Rise = 63 feet
Run (Horizontal distance) = 840 feet.
[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]
A warning sign should not be posted since its grade is less than 8%.
(b)
Grade = 9%
Run (Horizontal distance) = 1000 feet.
Recall that:
Grade = Slope X 100
[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]
The road rises 90 feet over a distance of 1000 feet.