10 POINTS + BRAINLIEST ANSWER!
At 12 P.M. on Sunday, there are 25,000 people in a football stadium that holds 65,000. Every minute after 12 P.M., the number of people in the stadium increases by 550. If m represents the time, in minutes, after 12 P.M., which of the inequalities below gives the set of minutes in which the football stadium is below capacity?
A. 550m < 25,000
B. 550m < 65,000
C. 550m + 25,000 < 65,000
D. 25,000 - 550m < 65,000
helpppppppppppppppppppppppp
A man is in a tree house 7 ft above the ground. He is looking at the top of another tree that is 24 ft tall. The bases of the trees are 40 ft apart. What is the angle of elevation from the man's feet to the top of the tree? Round to the nearest degree.
A. 23
B. 31
C. 67
D. 59
Final answer:
The angle of elevation from the man's feet to the top of the tree is approximately 31 degrees.
Explanation:
To find the angle of elevation from the man's feet to the top of the tree, we can use the tangent function.
The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the height of the tree (24 ft) and the adjacent side is the horizontal distance between the two trees (40 ft).
Therefore, tan(angle) = opposite/adjacent = 24/40 = 0.6.
Taking the inverse tangent, we get angle = arctan(0.6).
Rounding to the nearest degree, the angle is approximately 31 degrees.
which expression is equivalent to -3(2m-1)-n
6m-n-3
6m-n+3
-6m-n-3
-6m-n+3
The rate, r, at which people get sick during an epidemic of the flu can be approximated by r = 1600te^(−0.5t), where r is measured in people/day and t is measured in days since the start of the epidemic.
(a) When are people getting sick the fastest?
(b) How many people get sick altogether?,
If Ge=46 and dh=15 find gf
Answer:
GF=26.4
Step-by-step explanation:
21^2+16^2=C^2
441+256=c^2
697=c^2
GF=26.4
I hope this helps
Please help me with #1!!!!
which of the following is the solution to the equation c + (4-3c) - 2 = 0
Final answer:
The solution to the equation c + (4 - 3c) - 2 = 0 is found by simplifying and solving for c, which results in c = 1.
Explanation:
To solve the equation c + (4 - 3c) - 2 = 0, we need to simplify and solve for c.
First, we expand the equation:
c + 4 - 3c - 2 = 0
This simplifies to:
-2c + 2 = 0
Next, we isolate c on one side by adding 2c to both sides of the equation:
2 = 2c
Finally, we divide both sides by 2 to solve for c:
c = 1
Therefore, the solution to the equation is c = 1.
What are all solutions to the equation 2 cos Θ = 1 for 0 ≤ Θ ≤ 2pi? Round to the nearest hundredth.
θ ≈ 1.32, 4.97
θ ≈ 1.05, 5.24
θ ≈ 0.52, 2.62
θ ≈ 0.05, 2.89,
Answer:
1.a
2.d
3.c
4.a
5.b
Step-by-step explanation:
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111 is what percent of 300
Answer:
37
Step-by-step explanation:
bc its 37
What’s the answer to this?
What is the value of n?
Please explain I'm really lost :(
PLEASE PLEASE HELP ME!!!!
Which expression best estimates -18 1/4 divided by 2 2/3?
18/3
-18/3
-18/(-3)
18/(-3)
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
[tex]-18\dfrac{1}{4}\div 2\dfrac{2}{3}[/tex]
We need to find the best estimation:
First we change the mixed fraction into improper fraction:
[tex]-18\dfrac{1}{4}\approx -18[/tex]
and
[tex]2\dfrac{2}{3}=\dfrac{8}{3}=2.6666....\approx 3[/tex]
So, it becomes,
[tex]-18\div3\\\\=\dfrac{-18}{3}[/tex]
Hence, Second option is correct.
12 stamps increased by 125%
The center of a circle is located at (3,8) and the circle has a radius that is 5 units long What is the general form of the equation for the circle
Let p=x^2+6
Which equation is equivalent to (x^2+6)^2-21=4x^2+24 in terms of p?
Choose 1 answer:
A. p^2-4p-21=0
B. p^2+4p−45=0
C. p2−4p−45=0
D. p^2+4p−21=0
Final answer:
The equation equivalent to (x^2+6)^2-21=4x^2+24 in terms of p is A. p² - 4p - 21 = 0.
Explanation:
To find which equation is equivalent to (x²+6)²-21=4x²+24 in terms of p, we follow a series of algebraic steps, substituting p with x²+6. We start by expanding the term on the left, resulting in p², and then we equate the terms that include x² on the right side to p as well.
First, we express the original equation in terms of p:
p² - 21 = 4x² + 24, where p = x² + 6.
Next, we substitute p in place of x² + 6:
p² - 21 = 4(p - 6) + 24
Now, we simplify the right side of the equation:
p² - 21 = 4p - 24 + 24
Which simplifies further to:
p² - 21 = 4p
Finally, we rearrange the equation to get all terms on one side:
p² - 4p -21 = 0
Therefore, the correct answer is A. p² - 4p - 21 = 0.
1 question. 11 points. thanks for the help
The equation p = 1.7t² + 18.75t + 175 approximates the average sale price p of a house (in thousands of dollars) for years t since 2010.
What is the best estimate for the price of the house in year 2020
The equation [tex] p= 1.7t^{2}+18.75t+175 [/tex] approximates the average sale price p of a house (in thousands of dollars) for years t since 2010.
We have to calculate the best estimate for the price of the house in year 2020.
So, we have to calculate the best price of the house after 10 years.
So, putting the value t=10 in the given equation.
[tex] p= 1.7t^{2}+18.75t+175 [/tex]
[tex] p= (1.7 \times 100)+(18.75 \times 10)+175 [/tex]
p = 532.5= 533 (Rounded)
Since it approximates the average sale price p of a house (in thousands of dollars).
Therefore p=$533,000
Therefore, the best estimate for the price of the house in year 2020 is $533,000.
Please show all sork
which of the following is an x-intercept of the function f(x)=x^2-25
A.-5
B.-20
C.-25
D.-15
The x-intercept of the function f(x) = x^ 2-25 is -5. The correct option is A.
What is the intercept function?A rational function's intercept is the location on its graph where it crosses either the x- or y-axis. When the independent variable is 0, use the intercept function to find the value of the dependent variable (zero).
For instance, if your data points were collected at room temperature and above, you can use the intercept function to forecast a metal's electrical resistance at 0°C.
The x-intercept of a function is when the y-value is 0.
Replace y with 0 in the equation. You get the following.
[tex]x^2 - 25 = 0[/tex]
Add 25 to both sides
[tex]x^2 = 25[/tex]
Take the square root.
[tex]x = - \sqrt{25}[/tex]
[tex]x = -5[/tex]
Therefore, the correct option is A. -5.
To learn more about the intercept function, refer to the link:
https://brainly.com/question/11872755
#SPJ2
Can any one help me with this! Please look at the picture below just the circled numbers!!
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
a group of 31 friends gets together to play a sport. first people must be divided into teams. each team has to exactly 4 players, and no one can be on more than one team. how many can they make? (it is possible that not everyone can be on a team.)
Assume that the committee consists of 6 Republicans
and 8 Democrats. A subcommittee consisting
of 7 people is to be selected.
(1) How many such subcommittees are possible
if each subcommittee must contain exactly 3
Republicans and 4 Democrats?
(1) How many such subcommittees are possible
if each subcommittee must contain at least 1 and
no more than 3 Republicans?,
The question requires the application of combination formulas to calculate the number of possible subcommittees with specific party member composition requirements.
Explanation:The question deals with combinations in mathematics, specifically combinatorial calculation to determine the number of ways a subcommittee can be formed given certain restrictions on a party composition.
Part 1:
To find out how many subcommittees can be formed containing exactly 3 Republicans and 4 Democrats, we use the combination formula which is C(n, k) = n! / (k! * (n - k)!), where n is the total number of items to choose from, k is the number of items to choose, and '!' denotes factorial. There are 6 Republicans, so we can choose 3 of them in C(6, 3) ways and there are 8 Democrats from which we can choose 4 in C(8, 4) ways. The total number of such subcommittees is the product of these two combinations.
Part 2:
For the second part, we consider subcommittees with at least 1 and no more than 3 Republicans. This means we must calculate the sum of subcommittees for when there are exactly 1, 2, or 3 Republicans, combined with the appropriate number of Democrats to make a total of 7 members. We use the combination formula again for each scenario and add the results together.
The roots of the quadratic equation $z^2 + az + b = 0$ are $2 - 3i$ and $2 + 3i$. What is $a+b$?
The value of [tex]$a + b$[/tex] is 9.
To solve this problem
We can use the fact that the roots of the equation are given as[tex]$2 - 3i$ and $2 + 3i$.[/tex]
Quadratic equation roots occur in pairs of complex conjugates. Since[tex]$2 - 3i$[/tex] is the first root in this instance,[tex]$2 + 3i$[/tex] is the other root.
We now understand that the coefficient of the [tex]$z$[/tex] term is equal to the opposite of the sum of the roots of a quadratic equation. Stated otherwise, the total of the roots equals [tex]a[/tex] Thus, the two roots can be added together:
[tex]$(2 - 3i) + (2 + 3i) = 4$[/tex]
Therefore[tex], $-a = 4$, or $a = -4$.[/tex]
Next, we can use the fact that the product of the roots of a quadratic equation is equal to the constant term divided by the coefficient of the [tex]$z^2$[/tex]term.
[tex]$(2 - 3i)(2 + 3i) = 4 - 6i + 6i - 9i^2 = 4 + 9 = 13$[/tex]
So, [tex]$b = 13$.[/tex]
Finally, we can find the sum[tex]$a + b$:[/tex]
[tex]$a + b = -4 + 13 = 9$[/tex]
Therefore, the value of [tex]$a + b$[/tex] is 9.
99 points
What is the approximate volume of the cone?
Use 3.14 for π
1272 cm³
2120 cm³
4239 cm³
6359 cm³
Who, in 1706, first gave the greek letter "pi" its current mathematical definition? *?
determine the relation of the following lines y = -2x +4 and y= -2x +1
Which of the two functions below has the largest maximum y-value?
f(x)=-x^4-2
g(x)=-3x^3+2
A. There is not enough information to determine
B. The extreme maximum y-value for both f(x) and g(x) is infinite
C. f(x)
D.g(x)
Answer: D. g(x)
Step-by-step explanation: since,f(x)=-x^4-2
x^4>=0 for all x so,-x^4<=0 for all x
⇒ -x^4-2<=-2 for all x
⇒ f(x)<=-2 for all x so, maximum possible value of f(x)=-2
whereas g(x)= -3x^3+2 can take values from (-∞,∞)
so, g(x) has the maximum y value