Answer:
[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]
Step-by-step explanation:
From the given information:
Let assume the population is denoted by L
The rate of change of the young adults per year given can be represented as;
[tex]\dfrac{dL}{dx}= -x^2 +90x - 200[/tex]
where;
x = 0 since 2010
[tex]dL = -x^2 +90x -200 dx[/tex]
[tex]L = \int( -x^2 +90x -200 ) \ dx[/tex]
[tex]L = - \dfrac{1}{3}x^3 + 45x^2 -200x +C[/tex]
here;
L(0) = 31000
∴
[tex]- \dfrac{1}{3}(0)^3 + 45(0)^2 -200(0)+C= 31000[/tex]
C = 31000
[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]
On Friday night, the owner of Chez Pierre in downtown Chicago noted the amount spent for dinner for 28 four-person tables.
95 103 109 170 114 113 107 124 105 80 104 84 176 115 69 95 134 108 61 160 128 68 95 61 150 52 87 136
(a) Find the mean, median, and mode.
(b) Do these measures of center agree? Explain.
(c) Make a histogram or dot plot.
(d) Are the data symmetric or skewed? If skewed, which direction?
Answer:
median: 104.5
mean: 102.4
mode: 95
Step-by-step explanation:
Find the value of x. Please help!!!!
Answer:
9°
Step-by-step explanation:
In a ∆, equal sides make equal angle to the third side. So the angle that's not mentioned is same '2'.
Sum of angles in a ∆ = 180°
80° + m/_2 + m/_2 = 180°
80° + (5x + 5) + (5x + 5) = 180°
10x + 90° = 180°
10x = 90°
x = 9°
The graph of f(x) - 3* -6 is shown below. g() is a transformation of f(x).
How would you write the equation for the function g(x)?
15
10
5+
g(x)
is 2015 16
f(x) = 13*-6 -10
5
10
15 20 25
5
15+
O
A. g(x) - 3* +2
B. g(x) =
Ο Ο
2--13*-6
c. g(x)=13* +3
D. g(x)= - 4*+3
o
Answer:
[tex]g(x) = \frac{1}{4}3^x +3[/tex]
Step-by-step explanation:
Given
[tex]f(x) =\frac{1}{4}3^x -6[/tex]
[tex]g(x) \to[/tex] translate f(x) 9 units up
Required
Find g(x)
The translation rule is:
[tex]g(x) \to f(x) + 9[/tex]
So, we have:
[tex]g(x) = f(x) + 10[/tex]
[tex]g(x) = \frac{1}{4}3^x - 6 + 9[/tex]
[tex]g(x) = \frac{1}{4}3^x +3[/tex]
Raden says that a trapezoid is a
quadrilateral because it has four sides.
Amanda says that a trapezoid is a
parallelogram because it has a pair of
parallel sides. Who is correct? Explain.
Answer:
Raden is correct
Step-by-step explanation:
A quadrilateral is any polygon that has four sides and four angles.
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides and angles of a parallelogram are equal. Also, the diagonals are equal to each other and bisect each other.
A trapezoid is a quadrilateral with atleast a pair of parallel sides. It has no perpendicular sides or right angles.
Raden is correct because a trapezoid is a quadrilateral since it has four sides. Amanda is not correct because for a trapezoid to be a parallelogram it must have two pairs of parallel sides and not just a single pair of parallel side.
Question 6 of 10
Classify the following triangle. Check all that apply.
O A. Isosceles
B. Equilateral
O C. Obtuse
D D. Scalene
E. Right
OF Acute
SUB
Answer: a b f
Step-by-step explanation: I need brainliest for next rank I’d appreciate it
WILL GET 100 POINTS IF U ANSWER THIS!!!
If 4x=28, find the value of 29-5x.
Answer:
-6
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Answer:
-6 (not 100% sure)
Step-by-step explanation:
4x = 28
4 × 7 = 28
so
29 - 5x
if x is 7, 5 × 7 = 35
29 - 35 = -6
Are women better at multitasking than men? Researchers conducted a multitasking experiment in which 120 men and 120 women played a computer game in which they were asked to carry out two tasks at the same time. The female group had an average speed that was faster than that of the male group.
Answer:
Yes, women better at multitasking than men.
Step-by-step explanation:
Given
[tex]n_1=120[/tex] --- Men
[tex]n_2=120[/tex] --- Women
[tex]\bar x_2 > \bar x_1[/tex] --- Women with greater average speed
Required
Does women better at multitasking?
When making comparison between two variables that are subjected to the same conditions;
If both variables have different mean values; the variable with the greater mean value performs better.
So, in this case:
[tex]\bar x_2 > \bar x_1[/tex] means that women perform better than men, at multitasking.
A. Match the given solid figures to its corresponding formulas. Write the
letter of the correct answer in the blank.
please help
This is a Right answer....
How many solutions are there to this equation?
3(3x−1)=6x−3
A. no solutions B. one solution C. two solutions D. infinite solutions
Answer:
B. One solution
Step-by-step explanation:
The only solution is x = 0
find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees
Answer:
c
Step-by-step explanation:
Solve for X. Round to the nearest tenth of a degree, if necessary.
7.9
4.1
R
S.
Answer:
30
Step-by-step explanation:
this is a right triangle which is 30 60 90 and the smaller angle is always 30
Answer: 59.7
Step-by-step explanation:
somebody help me and show your work pls
Answer:
40x(14)
Step-by-step explanation:
5x(2)y(0)(2x(4)(3)
5x(2)x1) x8x(12)
5x(2)x8x(12)
40x(14)
will give brainliest if u answer this right^ p-20=46
Answer:
you forgot to link the photo
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
p-20=46
p= 46+20
p=66
Someone please help!
For every 1/4 kilometre of a walkathon a walker drank a bottle of water. How much water did the walker drink after walking 3 kilometres?
Answer:
12 bottles of water.
Step-by-step explanation:
Since each walker drinks a bottle of water every 1/4 kilometre, we know that one walker drinks 4 bottles of water every kilometre since 4/4 = 1. We are trying to find how much water they drank after walking 3 kilometres, so we would multiply 3 by 4 getting us an answer of 12.
leo le debe 15.00 pesos. Si su madre le da 60.00 pesos de paga y se gasta 20.00 con sus amigos
¿cuanto dinero le queda?
¿tendrá pendiente alguna deuda?
Answer:
Le quedan 25 pesos
No tendrá pendiente ninguna deuda
Step-by-step explanation:
60-15-20=25
Plz help plz "??????????????
if m<1=25 what is the measure of an angle that is complementary to <1
Answer:
65°
Step-by-step explanation:
The sum of the measures of complementary anfglwes is 90°.
Let a = the measure of the complement.
m<1 + a = 90
25 + a = 90
a = 65
65 inches is how many feet? (Round to nearest hundredth) *
Answer:
5.42 feet
Step-by-step explanation:
12 inches=1 foot
65/12=5.41667
5.41667=5.42 feet
Answer:
5.42 feet
Step-by-step explanation: i hope its right and sorry if it's wrong
What is the value of N in this proportion 16/40= 8/n
Answer:
n = 20
Step-by-step explanation:
[tex]\frac{16}{40} = \frac{8}{n}[/tex]
Cross multiplication would result in:
16 * n = 8 * 40
16n = 320
n = 320 / 16
n = 20
Therefore the value of "n" in this proportion is 20.
Hope this helps!
How do you simplify √(29-12 √5)?
Answer:
2 sqaure root 5 -3
Step-by-step explanation:
See the Image below:)
(2[tex]\sqrt{5}[/tex] - 3)
What is simplification?The process of replacing a mathematical expression with one that is equivalent, simpler, and typically shorter. Examples of simplification include simplifying algebraic expressions in computer algebra, simplifying Boolean expressions in logic optimization, and simplifying by conjunction elimination in logic inference to produce a formula that is simpler but typically non-equivalent.
Given equation [tex]\sqrt{(29 - 12\sqrt{5}) }[/tex]
[tex]\sqrt{(29 - 12\sqrt{5}) }[/tex] = [tex]\sqrt{(9 + 20 - 2 x 3 x 2\sqrt{5}) }[/tex]
= [tex]\sqrt{(3^{2} + (2\sqrt{5} )^{2} - 2 x 3 x 2\sqrt{5}) }[/tex]...…(1)
the equation is now in the form of (a - b)² = a² + b² + 2ab
equation (1) can be written as where a = 2√5 and b = 3
[tex]\sqrt{(2\sqrt{5} - 3 )^{2} }[/tex] = 2√5 - 3
Hence the simplified equation is 2√5 - 3
Learn more about simplification;
https://brainly.com/question/23509407
#SPJ2
i need help asap thank you
Answer:G
Step-by-step explanation:Since it is decreasing in size, the coordinates have to be negative so the only answer is G
If 4, m & 9 are in continued proportion. Find the value of m.
Answer:
M =6
Step-by-step explanation:
T2/T1=T3/T2
M/4=9/m
M^2=36
M=+ or - 6
As m is continued ignore - 6
Then get m =6
!!!! URGENT evaluate the geometric series below !
Answer:
C
Step-by-step explanation:
S(6)= -2(1-(-3)^6)/1-(-3)
10.3.23
Question Help
o
In a recreation center with 1,500 members, 200 are high school students. Of the members, 300 regularly swim. The 45 students of the high school swim team are
all members and practice at the pool every week. What is the probability that a high school member selected at random is on the swim team?
The probability is
o
(Simplify your answer.)
Answer:
The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: High school student.
Event B: Is on the swin team.
Probability of selecting a high school student:
Of the 1500 students, 200 are on high school. So
[tex]P(A) = \frac{200}{1500}[/tex]
Probability of selecting a high school student who swims:
Of the 1500 students, 45 are high school students who swim. So
[tex]P(A \cap B) = \frac{45}{1500}[/tex]
What is the probability that a high school member selected at random is on the swim team?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225[/tex]
The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]
Plz help me well mark brainliest if correct
Answer:
I think it is b) 70
Step-by-step explanation:
Arrange the numbers in ascending order then find the middle number.
Answer:
70
Step-by-step explanation:
Write down all the data points: 20, 40, 50, 70, 80, 90, 110 and identify which is in the very middle.
Rewrite the following logarithmic expression as an exponential expression
[tex]\huge{ \mathrm{ \underline{ Answer }\: \: ✓ }}[/tex]
The logarithmic expression for the given exponential expression is :
[tex]\large\boxed{ \mathrm{ log_{4}(b )= a}}[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]
a number cubed decreased by 1 is equal to the product of the number and 12
Answer:
x³ - 1 = 12x
Step-by-step explanation:
A number cubed decreased by 1 is equal to the product of the number and 12
x³ - 1 = 12x
Find the slope of the line?
Answer:
slope = 1/6
Step-by-step explanation:
(-3--4)/1--5)
rise/run
so slope = 1/6
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answer:
17 years
Step-by-step explanation:
We can use a known formula (n being the number of years)
n = log(17323/8500) / log (1+ 0.045) = 16.17