The given functions are
g(x) = 2x^2 + 5
p(x) = x^2 - 2x
g(x)/p(x) = (g/p)x = (2x^2 + 5)/(x^2 - 2x)
The answer is (2x^2 + 5)/(x^2 - 2x)
Describe the intervals over which the given function is decreasing
Answer:
a. is answer sure fix answer
how to solve 2k+5 when k=8
2k + 5 = 2(8) + 5 = 16 + 5 = 21
k is substituted into the expression
you are conducting 2x2 factorial design with factor a and b. they each contain two levels. which pairs of number represent simple main effect of a at b2
So, the pairs of numbers that would represent the simple main effect of therapy (factor a) at the group setting (b2) in this example would be a1b2 (cognitive-behavioral therapy at the group setting) and a2b2 (relaxation therapy at the group setting).
In a 2x2 factorial design, there are two independent variables, each with two levels. This means that there are a total of four treatment conditions in the experiment. The simple main effect of one of the independent variables (in this case, factor a) at a specific level of the other independent variable (in this case, b2) refers to the effect of that independent variable on the dependent variable when the other independent variable is held constant at a specific level.
To understand this concept more clearly, let's consider an example. Suppose that in your experiment, factor a is the type of therapy (cognitive-behavioral therapy vs. relaxation therapy) and factor b is the type of treatment setting (individual vs. group). In this case, the simple main effect of therapy (factor a) at the group setting (b2) would refer to the effect of therapy on the dependent variable when the treatment setting is held constant at the group level.
The simple main effect of therapy (factor a) at the group setting (b2) would be calculated by comparing the mean response for the cognitive-behavioral therapy condition (a1b2) to the mean response for the relaxation therapy condition (a2b2). This would allow you to determine whether there is a significant difference in the mean response between the two therapy conditions when the treatment setting is held constant at the group level.
So, to answer your question, the pairs of numbers that would represent the simple main effect of therapy (factor a) at the group setting (b2) in this example would be a1b2 (cognitive-behavioral therapy at the group setting) and a2b2 (relaxation therapy at the group setting).
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The power P that must be delivered by a car's engine varies directly as the distance dthat the car moves and inversely as the time t required to move that distance. To move the car 1,400ft in 70s, the engine must deliver 112kilowatts (kW) of power. Find the distance (in feet) the car moves when 148kW of power is delivered for 90s. Enter the answer as an integer. Round to the nearest whole unit, if needed.
Answer:
P ∝ d
P ∝ 1/t
Using this information, we can establish a formula:
P = Kd/t , where K is some constant
We need to determine that constant using the initial conditions.
d = 2100 ft
t = 70 s
P = 180 KW
K = Pt/d
K = [(180 kW)(70s)] / 2100 ft
K = 6 kW s / ft
We can now find the distance of the car when P = 204 kW and t = 90s
P = Kd/t
d = Pt/K
d = [(204 kW)(90 s)] / (6 kWs /ft)
d = 3060 ft
permieter of 2 rectangles is 54 cm.
work out the area of a square
The Area of Square is 81 cm².
let the side of the square which is length for both rectangles be a.
let the width of rectangle be x and y.
So, x+ y= a
sum of perimeters= 54
2 (a +x ) + 2 (a+ y) = 54
2a+ 2x + 2a+ 2y = 54
2a + 2a + 2(x+ y) = 54
4a + 2 (a) = 54
4a + 2a = 54
6a = 54
a= 54/6
a= 9
So, area of square
= 9 x 9
= 81 cm²
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show that the volume of the unit cube is one
Check the picture below.
Find the perimeter of the figure. If you need to use in your computation, approximate its value as 3.14.
Rectangle topped by a semicircle
10 m
a. 35.57 m
b.
65.40 m
C.
59.70 m.
d. 49.70 m
The total perimeter of the given composite figure is; 74.55 meters
How to find the perimeter of a composite figure?The perimeter of the given figure can be calculated by dividing the figure into two parts : One is semi-circle and second is rectangle.
To find Perimeter of rectangle :
Length of the rectangle = 18 m
Width of the rectangle = 15 m
Perimeter = (2 × Length) + Width
Perimeter = (2 × 18) + 15
Perimeter = 36 + 15
Perimeter = 51 meters
To find perimeter of semi-circle :
Radius of semi-circle = 15/2 = 7.5 m
Perimeter of semi-circle = π × radius
Perimeter = 3.14 × 7.5
Perimeter = 23.55 meter
So, Total Perimeter of the figure = 51 + 23.55
= 74.55 meter
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Ella has brought 36 pounds of dog food. She feeds her dog 3/4 pounds for each meal. For how many meals will the food last?
Answer:
48 meals
Step-by-step explanation:
36/(3/4) = (36 *4)/3 = 48
One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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Joe added 1,500 liters of water to his pool. How many kiloliters did he add to his pool?
Answer:
1.5 kiloleter
Step-by-step explanation:
1 kiloleter = 1000 liters
so
1500 liters = 1.5 kiloleters
pls mark brainliest if possible lol
Answer:
1 1/2 kl
Step-by-step explanation:
1 kiloliter is a 1,000 liters, so 1 liter and 500 is 1/2 of 1,000
Based on aâ poll, among adults who regret gettingâ tattoos, 18â% say that they were too young when they got their tattoos. Assume that eight adults who regret getting tattoos are randomlyâ selected, and find the indicated probability. Complete partsâ (a) throughâ (d) below.
a. Find the probability that none of the selected adults say that they were too young to get tattoos.
b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c. Find the probability that the number of selected adults saying they were too young is 0 or 1.
d. It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?
Answer:
a) 20.44% probability that none of the selected adults say that they were too young to get tattoos.
b) 35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c) 56.34% probability that the number of selected adults saying they were too young is 0 or 1.
d) No
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they say they were too young when they got their tattoos, or they don't say that. Each adult is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
18% say that they were too young when they got their tattoos.
This means that \(p = 0.18\)
Eight adults who regret getting tattoos are randomly selected
This means that \(n = 8\)
a. Find the probability that none of the selected adults say that they were too young to get tattoos.
This is P(X = 0).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{8,0}.(0.18)^{0}.(0.82)^{8} = 0.2044\)
20.44% probability that none of the selected adults say that they were too young to get tattoos.
b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.
This is P(X = 1).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 1) = C_{8,1}.(0.18)^{1}.(0.82)^{7} = 0.3590\)
35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c. Find the probability that the number of selected adults saying they were too young is 0 or 1.
Either a. or b.
20.44 + 35.90 = 56.34
56.34% probability that the number of selected adults saying they were too young is 0 or 1.
d. It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?
Now \(n = 9\)
It is significantly low if it is more than 2.5 standard deviations below the mean.
The mean is \(E(X) = np = 9*0.18 = 1.62\)
The standard deviation is \(\sqrt{V(X)} = \sqrt{n*p*(1-p)} = \sqrt{9*0.18*0.82} = 1.15\)
1 > (1.62 - 2.5*1.15)
So the answer is no.
What do the following equations represent? X+3y=5 4x+12y =20
Answer:
Same line in both equations-------------------------
Given linear equations:
x + 3y = 5 and 4x + 12y = 20If we simplify the second equation by dividing all terms by 4, it will be equal to the first equation.
These equations represent the same line.
Bob is saving up for a new phone. He has about $150 right now but she has a job and gets paid $15 an hour to babysit. If he works everyday for about a month, how much money should she have? Write an equation.
Current Balance: $150
Income rate: 15x
Equation: 15x+150
Find the radius of a circle given that the area is three times its circumference
Answer:
Radius of the circle = 6 units
Step-by-step explanation:
Let the radius of the circle be r
According to the given condition:
Area of the circle = 3 times the circumference of the circle
\(\therefore \pi r^2 =3\times 2\pi r\\\therefore r^2 = \frac{3\times 2\pi r}{\pi}\\\therefore r^2 = 3\times 2r\\\therefore r = 6\: units\\\)
On average, 24% of customers who buy shoes in a particular store buy two or more pairs. One weekend, 350 customers purchased shoes. How many can be predicted to buy two or more pairs? If 107 customers buy more than two pairs, did more customers than normal buy two or more pairs?
It is predicted that__________
customers bought two or more pairs out of 350 customers. There were customers than normal who bought two or ___ pairs.
Mark and a friend went out for dinner. The bill was $23.40. They will leave a 20% tip. How much of a tip will they leave
Answer: $4.68
Step-by-step explanation: $23.40 % 20% = $4.68.
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
To reduce laboratory costs, water samples from five public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.007 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from five public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary?
Answer:
Step-by-step explanation:
Given that:
The numbers of the possible public swimming pools are 5
From past results, we have 0.007 probability of finding bacteria in a public swimming area.
In the public swimming pool, the probability of not finding bacteria = 1 - 0.007
= 0.993
Thus;
Probability of combined = Probability that at least one public
sample with bacteria swimming area have bacteria
Probability of combined sample with bacteria = 1 - P(none out of 5 has
bacteria)
Probability of combined sample with bacteria = 1 - (0.993)⁵
= 1 - 0.9655
= 0.0345
Thus, the probability that the combined sample from five public swimming areas will show the presence of bacteria is 0.0345
From above, the probability that the combined sample shows the presence of bacteria is 0.0345 which is lesser than 0.05.
Thus, we can conclude that; Yes, the probability is low enough that there is a need for further testing.
(-5x) ×(-6) please it is urgent
Answer:
30x
Step-by-step explanation:
Answer:
30x
Step-by-step explanation:
a negative multiplied by a negative is positive.
-5x x -6 =30x
Hope I helped!
Is this possible?
a=b
a²=ab
a²-b²=ab-b²
(a+b)(a-b)=b(a-b)
(a+b)=b
a+a=a
2a=a
2=1
Answer:
No. It is not possible.
Step-by-step explanation:
No, that is not possible.
The problem lies in that \(a=b\).
Looking at your fourth line of work, \((a+b)(a-b)=b(a-b)\)
You divided by \((a-b)\).
And because \(a=b\), \(a-b=0\)
This means that when you divided by \((a-b)\) you divided by zero, which cannot happen.
Convert 33kilo to pounds using unit fraction
The conversion of 33 kilo to pounds using unit fractions is given by 72.765 pounds
How to convert from kilo to pounds?There are several units used by scientist to measure different things such as weight, temperature, mass, length etc. Units can be converted from one form to another.
Kilograms written as kg is a unit of mass
Milligrams written as mg is also a unit of mass.
Convert kilo to pounds:
1 kilo = 2.205 pounds
33 kilo = 2.205 × 33
= 72.765 pounds
That is,
A kilo is equivalent to 2.205 pounds
In conclusion, the conversion of 33 kill to pounds is 72.765 pounds.
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20,30,13,10,14,10,10,?,?,?
Answer:
10,13,14,20,30.............
The pressure, P (in lbs/ft2 ), in a pipe varies over time. Five times an hour, the pressure oscillates from a low of 90 to a high of 230 and then back to a low 90. The pressure at t = 0 is 90.
Question: Find a possible formula for P=f(t)
P=160-70*cos(2π*(1/12)*t)
• Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).
First, we find the amplitude by taking the difference between the peak values and dividing by two:
Amplitude=(230+90)/2=70
We can find the center value by either adding 70 to the minimum or subtracting 70 from the maximum:
90+70=160
230-70=160
This tells us that the Center Value=160
The frequency that we are operating at is given as:
f = 5/hour
so in minutes
f=5*(1/60)/minute=5/60=1/12 per minute
So, combining everything we get
P=160-70*cos(2π*(1/12)*t)
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A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61
Evaluate the expression, given functions f , and g :
f(x) =7x−4
g(x) =11−x2
3f(1)−4g(−2)=
Number
The solution of the function 3f(1) - 4g(-2) is -19.
How to solve functions?The functions can be solved as follows;
f(x) = 7x - 4
g(x) = 11 - x²
Therefore, let's solve the composite function as follows:
A composite function is generally a function that is written inside another function.
Hence,
3f(1) - 4g(-2) = ?
f(1) = 7(1) - 4 = 7 - 4 = 3
g(-2) = 11 - (-2)² = 11 - 4 = 7
Therefore,
3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19
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Suppose that a random sample of size 100 is to be selected from a population with mean 50 and standard deviation 8. What is the probability that a sample mean will be greater than 50.8? Round your answer to three decimal places.
Answer:
0.159
Step-by-step explanation:
Given that:
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
Probability that Sample mean (m) will be greater Than 50.8
Using the relation :
(sample mean - population mean) / (standard deviation /sqrt(n))
P(m > 50.8)
Z = (50.8 - 50) / (8/ sqrt(100))
Z = 0.8 / (8/ 10)
Z = 0.8 / 0.8
Z = 1
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence,
P(Z > 1) = 0.159 ( 3 decimal places)
The probability that a sample mean will be greater than 50.8 is P(Z > 1) = 0.159.
Given that,
Suppose that a random sample of size 100 is to be selected from a population with a mean of 50 and a standard deviation of 8.
We have to determine,
What is the probability that a sample mean will be greater than 50.8?
According to the question,
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
The probability that Sample mean (m) will be greater than 50.8.
Therefore,
\(\dfrac{(sample \ mean - population \ mean) \times \sqrt{n}}{standard \ deviation}\)
Where P(m > 50.8)
\(Z = \dfrac{50.8 - 50 \times \sqrt{100}}{8}\\\\Z =\dfrac{ 0.8 \times 10 }{8}\\\\Z = \dfrac{0.8 }{0.8}\\\\Z = 1\)
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence, The probability that a sample mean will be greater than 50.8 is P(Z > 1) = 0.159.
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Find Tan a and 10 B. Right each answer as a fraction and as I get decimal rounded to the nearest 10th.
Answer:
\(tanA=\frac{12}{20}\\\\tanB=\frac{20}{12}\)
Step-by-step explanation:
\(tan(theta)=\frac{Opp}{Adj}\)
Unless you want to solve for A and B plug that into inverse calculator.
A = tan^-1 ( 12/20 ) = 31°
A = 31.0°
B = tan^-1 ( 20/12 ) = 59.0°
B = 59.0°
algebra 1 slope intercept form: write an equation
Ok, so
A line passes through the points (20,-14) and (4,-14). We are asked to find the equation of this line.
First, we're going to find the slope of the line.
For this, remember that:
Given two points (x1,y1) and (x2,y2), the slope (m) between them can be found using the equation:
\(m=\frac{y_2-y_1}{x_2-x_1}_{}\)If we replace our values, we notice that:
\(\begin{gathered} x_1=20 \\ x_2=4 \\ y_1=-14 \\ y_2=-14 \end{gathered}\)And replacing in the equation:
\(m=\frac{-14-(-14)}{4-20}=\frac{0}{-16}=0\)The slope of our line is 0.
Now, given the slope "m" and one point (x1,y1), the equation in slope-intercept form can be found using the formula:
\(y=y_1+m(x-x_1)\)Replacing (x1,y1) as (4,-14) and m=0:
\(\begin{gathered} y=-14+0(x-4) \\ y=-14 \end{gathered}\)Therefore, the equation of the line is y=-14
Avi’s dining room measures 124 square feet and is in the shape of a square. Which is the best estimate of the length of one side of the room, to the nearest tenth of a foot?.
If the area of the square is 124 square feet. Then the best estimate of the length of one side of the room will be 11.1 feet.
What is a square?It is a polygon with four sides. The total interior angle is 360 degrees. A square's opposite sides are parallel and all the sides are equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
Avi’s dining room measures 124 square feet and is in the shape of a square.
Then the best estimate of the length of one side of the room, to the nearest tenth of a foot will be
The area of the square is given as
Area = a²
Where a is the side length of the square.
Then we have
a² = 124
a = √124
a = 11.1355
a ≅ 11.1 feet
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C. 11.1
i did that and then I did this.
Emily is walking around her neighborhood. After walking for 6 minutes, she traveled 4 blocks. After walking for a total of 15 minutes at the same rate, she traveled 10 blocks. Given that Emily walked at the same pace the entire time, how long did it take her to travel 8 blocks?
Answer:
12 minutes
Step-by-step explanation:
Answer: 12 Minuets
Step-by-step explanation: