The Required equilibrium solution are (400, 40) (500, 50) (600,60).
To find the equilibrium solutions and to enter answer as a list of ordered pairs (A,L), where A is the number of aphids and L the number of ladybugs.
equation is the relationship between variable and represented as y =ax+b is example of polynomial equation.
since the equilibrium solution given by the expression
L = 10A
where A is the number of aphids and L the number of ladybugs.
And ordered pairs with equilibrium solution of one with 400 aphids and 40 ladybugs, one with 500 aphids and 60 ladybugs and one with 600 aphids and 60 ladybugs are (400, 40) (500, 50) (600,60).
Thus, The Required equilibrium solution are (400, 40) (500, 50) (600,60).
Learn more about equation here:
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!!!! URGENT evaluate the geometric series below !
Answer:
C
Step-by-step explanation:
S(6)= -2(1-(-3)^6)/1-(-3)
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:
ANSWER ASAP
Jennifer painted a tabletop that is shaped like a semi-circle. The diameter of the tabletop is 10 feet. What is the
area of the tabletop in square feet?
Answer:
12.5 pi or 39.26990
Step-by-step explanation:
First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:
[tex]\frac{\pi r^2}{2}[/tex]
We can substitute what we have:
[tex]\frac{25\pi }{2}[/tex]
This gives us:
12.5 pi or 39.26990(Not sure what format you need it in)
What is the first term of a 14-term arithmetic sequence where the last term is −12 and the sum is 42?
A. 6
B. 7
C. 13
D. 18
please explain answer
=========================================
Work Shown:
Here are the variables we're working with
a = first termb = last term (aka nth term)n = number of termsS = sum of the first n termsIn this case, we know that
a = unknown (what we want to solve for)b = -12 n = 14S = 42We can use this formula to help find the answer
S = (n/2)*(a+b)
This formula only works for arithmetic sequences
So,
S = (n/2)*(a+b)
42 = (14/2)*(a+(-12))
42 = 7(a-12)
42/7 = a-12
6 = a-12
6+12 = a
18 = a
a = 18 is the first term of this arithmetic sequence
That's why the answer is choice D.
-----------
Side note: your book or your teacher may use the notation [tex]S_n = \frac{n}{2}(a_1+a_n)[/tex] but I figured it would be easier to use 'a' and b in place of [tex]a_1[/tex] and [tex]a_n[/tex] respectively.
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.
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
please hbelpppppppppppppppppppppppp quick
Answer:
#1 I believe the answer is 4 and for 2 I believe the answers are 3&4
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]
To predict what diameter a child would draw a nickel given family income, it would be most appropriate to: ___________
a. Use the regression equation
b. Use the mean y-value
c. Use the P-Value
d. Use the residual
Answer:
a. Use the regression equation
Step-by-step explanation:
Given
See attachment for missing part of question
Required
What can be used to predict diameter, given family income
We can see (by observation) that the data on the table can only be represented on a scattered plot, and scattered plot uses regression equation for data prediction.
i.e. [tex]y = mx + b[/tex] --- equation of line of best fit
In this case;
[tex]x \to income[/tex]
[tex]y \to diameter[/tex]
When the x value (income) is known, we can simply plug in the value in the above equation to get the y value (diameter)
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!
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)
10.3.23
Question Help
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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]
Find the slope of the line?
Answer:
slope = 1/6
Step-by-step explanation:
(-3--4)/1--5)
rise/run
so slope = 1/6
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
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
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
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
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
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
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....
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]
Which choices are equivalent to the fraction below? Check all that apply.
Answer:
the answer is B & F
find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees
Answer:
c
Step-by-step explanation:
Someone need help guys :/ yeah me please help me
Answer:
Step-by-step explanation:
yes two triangles are congruent by SSS theorem (side Side Side)
A toy has an original price of $12. Find the new price after 45% decrease
Answer:
New price =$6.60
Step-by-step explanation:
[tex]deduction \ percent = 45\% \\\\dedecution \ price = \frac{45}{100} \times12 = \$5.40\\\\\ Therefore , cost \ of \ toy \after \ deduction = 12 - 5 .40= \$ 6.60[/tex]
Hello there I hope you are having an great day :) A toy has an original price of $12. Find the new price after 45% decrease,
Find the original price - $12
Get the the discount percentage - 45%
Calculate the savings: 45% of $12 = 3.73
Subtract the savings from the original price to get the sale price: $12 - $3.73 = £8.27
Original Price = Sale Price / ( 1 - Percent Off / 100 ) = 21.8182 that would b the answer :)
Frankie scores a 70% on her math test. The test had 20 questions. How many questions did she get correct?
Answer:
14 questions correct
Step-by-step explanation:
x/20 *100 = 70
so x/ 20 = 70/100(0.7)
x/20 = 0.7
x = 0.7*20
x =14
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.
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
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
Plz help plz "??????????????