Solving the quadratic equation, it is found that the number of teams is greater than 1000 after 3.1 years.
The number of teams after x years is given by:
[tex]T(x) = 17.155x^2 + 193.68x + 235.81[/tex]
Initially, there are T(0) = 236 teams. If will 1000 be when T(x) = 1000, thus:
[tex]17.155x^2 + 193.68x + 235.81 = 1000[/tex]
[tex]17.155x^2 + 193.68x - 764.19 = 0[/tex]
Which has coefficients [tex]a = 17.155, b = 193.68, c = -764.19[/tex], then:
[tex]\Delta = (193.68)^2 - 4(17.155)(-764.19) = 89950.66[/tex]
[tex]x_{1} = \frac{-193.68 + \sqrt{89950.66}}{2(17.155)} = 3.1[/tex]
[tex]x_{2} = \frac{-193.68 - \sqrt{89950.66}}{2(17.155)} = -14.3[/tex]
We want the positive root, so the number of teams is greater than 1000 after 3.1 years.
A similar problem is given at https://brainly.com/question/10489198
Pete needs weight exactly 250 grams of sugar which method could Pete use to most accurately weight the sugar
Answer:
Well a scale or a food scale.
Step-by-step explanation:
Unless theres other options, a small Cale would work just fine
Patrick deposits $500 in a savings account, and he makes no deposits. How much money does Patrick have the savings account after 5 years?
explain how your know that 88is a solution to the equation 1/8 R = 11 complete the sentences
The word solution means to
88 is a solution to 1/8 R = 11 because
Answer:
In this equation R would equal 88 because it satisfies the equation.
Step-by-step explanation:
You must solve for R by isolating the variable(which is R). To move the 1/8, multiply both sides by 8. You would do this because 8 is the reciprocal of 1/8. With R on it's own, to keep both sides equal multiply 11*8. That equals 88, which satisfies the equation, which is why 88 is the solution.
Hope this helps :)
In the interval 0° < x < 360°, find the values of x for which sin x = 0.6691 Give your answer tot he nearest degree
Answer:
x are 42 and 138degees
Step-by-step explanation:
Given the expression sin x = 0.6691
sin x = 0.6691
Take the sin inverse of both sides
sin⁻¹(sin x) = sin⁻¹(0.6691 )
x = sin⁻¹(0.6691 )
x = 41.99
x = 42 degrees (to the nearest degree)
Since sin theta is positive in the second quadrant;
x = 180 -theta
x = 180 - 42
x = 138degrees
Hence the value of x are 42 and 138degees
Which of the statements about the graph is true? :((
Answer: D / none are true
Since it's proportional (it's a straight line), B and C are automatically wrong. A would seem true at first glance, BUT if you look closely at the graph, the slope of the graph is actually 2x.
Look at the beginning of the line. It starts at 18 (x = 0/y intercept) and at x = 1, you can see that y is at 16. The y value goes down by 2 every time x increases by 1. This means that the equation of the graph is -2x + 18 = y.
The graph is proportional and has an equation of y = -2x + 18. This means that A, B and C are incorrect.
Answer:
Your answer is D.Step-by-step explanation:
It is a straight line also known as proportional. The first impression, A appears to be accurate, but closer inspection reveals that the graph's slope is actually 2x. 18 (x = 0/y intercept) and ends at x = 1, where little y is at 16. Any time x expands by one, the y value falls by two. This says that the graph's equation is -2x + 18 = y.
one question please help!!! ill mark brainliest!!!!!!!
Melanie invested $5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 11 years? Answer: 3562
Answer:
11749
Step-by-step explanation:
PLSSSSSSSSSSS HHELPP IM BEGGING YOU
Drag the correct number of pieces to show how to find the area of the shaded figure in two different ways. Pieces can be rotated to fit.
Answer:
Step-by-step explanation:
As you can see from the attached picture below, the only figure that is equal to 5 whole units would be the final triangle. That is because it has 2 whole units in the middle, two half units in the top which equal 1 whole unit. And 2 units in each side corner which when combined would equal 2 whole units making it a total of 5. The rest of the shapes either hold more than 5 or less than 5 units. In the picture below, the top 3 shapes hold more than 5 units while the bottom two triangles hold less than 5.
helo me please please
i) Area = length x width
=250 x 100
= 25000 cm2
ii) it is a square so the sides are equal
Area = 10 x 10
= 100cm2
iii) 25000/100
250 tiles will be needed
Iv) one tile is 4.75 dollars
Total tiles are 250
Cost for tiling
=250 x 4.75
=1187.5
Hope this helps
Can someone help me? What is the solution for x-2 > 15 ?
Thank you!
Answer: X=17
Step-by-step explanation:
Answer:
Any number above 17
18 works.
Step-by-step explanation:
18-2 = 16
16 > 15
> means the number on the left is greater.
Hope this helps.
Simplify.
(6^2)^4
O 6^6
O 6^8
O 36^4
0 6^2
Answer:
its b and c dude
Step-by-step explanation:
Answer:
6^8
Step-by-step explanation:
Hope that helped!
Plz, mark brainiest, only 3 more till I level up!
Have a great day!!
Please help, I don’t understand this
Answer:
same here
have a nice day
help help help help help help
Answer:
1. B
2. =
3. 0.6, 1/2, -1.7, -1.75
4. Thomas won
. 5 (3 ⋅ 6) = (5 ⋅ 3) + (5 ⋅ 6
Answer:
they are not = to each other
Step-by-step explanation:
what does (-2,-3) look like on a graph
Answer:
looks like a line kinda
Step-by-step explanation:
If x - y=5, x + y = 59, and x > y, what is the value of xy?
Answer:
864
Step-by-step explanation:
∵X-Y=5 and.
∵X+Y=59 add the two equations
∴2X=64
∴X=32 (substitute in any equation)
∴32 - Y=5
∴Y = 27
∴ So . X×Y=32 × 27=864
Answer:
x=32, y=27
Step-by-step explanation:
32-27=5
32+27=59
32>27
32x27=864
When Ben does his math homework, he finishes 10 problems every 7 minutes. At this rate, how long will
it take him to complete 35 problems?lols please help.
Answer:
in 7 minutes he solve 10 problems
he solve one problem in = 7/10= 0.7 minute
he solve 35 problem in = 0.7x35= 24.5 minute
Step-by-step explanation:
hope it helps ❤️
You pick a card at random. 6 7 8 9 What is P(not 9)? Write your answer as a percentage. %
Answer:
75%
Step-by-step explanation:
You pick a card at random. 6 7 8 9 What is P(not 9)? Write your answer as a percentage. %
Given the following
Total cards = 4 (6,7,8,9)
If the card is not 9, the required card will be (6,7,8)
Number of cards that are not 9 is 3
Probability = expected/total
Pr(not 9) = 3/4
express as percent
Pr(not 9) = 3/4×100
Pr(not 9) = 75%
Answer:
50%
Step-by-step explanation:
There are 4 cards, numbered 6, 7, 8, and 9. The numbers greater than 7 are 8 and 9. There are 2 numbers greater than 7.
P(greater than 7) =
2
4
Write your answer as a decimal. Then convert your answer to a percentage.
2
4
= 0.5 = 50%
P(greater than 7) = 50%
Find the radius of each circle using 3.14
or 22/7 for pi. Round to the nearest tenth if
necessary.
Circumference =25.1 ft
Answer: The answer is 3.99 but I think you would just round it to 4.
3 5⁄7 + 1 9⁄14
helppppppppppppppppppppp
Find the volume of a pyramid with a square base, where the area of the base is
8.3 mº and the height of the pyramid is 6.3 m. Round your answer to the nearest
tenth of a cubic meter.
Answer: 17.4 m^3
Step-by-step explanation:
V= 1/3 Bh
B=8.3
H=6.3
V=1/3 (8.3)(6.3)
V=17.43
V=17.4m^3
A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a profit of $3.10 per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?
Answer:
The constraints are as follows;
1) 2·x + 2·y ≤ 120
2) 3·x + 4·y ≤ 160
3) x = 2.30
4) y = 3.10
5) P = 2.3·x + 3.10
Step-by-step explanation:
The question is a word problem, with the analysis as follows;
The profit from the roast beef special per sandwich = $2.30
The profit from the turkey special per sandwich = $3.10
The number of slices of bread in the roast beef special = Two slices
The number of slices of cheese in the roast beef special = Three slices
The number of slices of bread in the turkey special = Two slices
The number of slices of cheese in the turkey special = Four slices
The number of slices of bread the deli has = 120 slices
The number of slices of cheese the deli has = 160 slices
Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;
For the number of slices of bread used;
2·x + 2·y ≤ 120...(1)
For the number of slices of cheese used;
3·x + 4·y ≤ 160...(2)
x = 2.30
y = 3.10
The profit 'P' is given by the following equation
P = 2.3·x + 3.10.
Answer:
its a
Step-by-step explanation:
trust
Help is needed, thank you so much!
Answer:
t=36
Step-by-step explanation:
54-18 = 36
Answer:
t + 18 = 54
Step-by-step explanation:
t + 18 = 54
subtract 18 from both sides
t = 36
The temperature during the night was 36 degrees
Hope that helps
6
Select all the expressions that equal 4×10
Answer:
40
Step-by-step explanation:
5 × 8 = 40
1 × 40 = 40
2 × 20 = 40
A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in square centimeters?
A - 603.19 cm2
B - 245.04 cm2
C - 376.99 cm2
D - 188.50 cm2
Answer:
245.04 cm
Step-by-step explanation:
I'll give you a brainiest, but please help me with this question. I need help.
Hope it helps you!.......
Answer:
Angle B would be 56 degrees.
The x-coordinate of the vertex of the function y=-x²+bx+3 is 10. Determine the y-coordinate of the vertex.
Answer:
103Step-by-step explanation:
Given function:
y = -x² + bx + 3The x-coordinate of a quadratic function y = ax² + bx + c is determined by:
x = -b/2aThe given function has:
x = 10, and a = -1Find the value of b:
10 = -b / -2b = 20The function is:
y = -x² + 20x + 3The y-coordinate of the vertex is:
y = -(10²) + 20*10 + 3 = -100 + 200 + 3 = 103Answer:
Solution given:
y = -x² + bx + 3
we have
The x-coordinate of a quadratic function y = ax² + bx + c is determined by:
x = [tex] \frac{ - b}{2a} [/tex]
we have
x = 10, and a = -1
Substituting value of a in -b/2a
we get
b = 20
now
The y-coordinate of the vertex is:
y = -(10²) +20*10+ 3 = -100 + 200 + 3 = 103 is your answer.
Henry has a box of toys that weighs 7 pounds. He has another box of toys that weighs 84 ounces. How many ounces do both boxes weigh altogether?
Answer:
196 ounces
Step-by-step explanation:
1 pound = 16 ounces
16 x 7 = 112
112 + 84 = 196 ounces
PLEASEEEEEEEEEEE HELPPPPPPPPP WITH THISSSSSSSSS
Answer:
P = 10x + 2
Step-by-step explanation:
Formula to find perimeter:
P = 2(l + w)
P = 2(4x + 1 + x)
P = 2(5x + 1)
P = 10x + 2