Answer:
The pattern would produce main effects for both A and B, and an interaction
Step-by-step explanation:
When there is a two factor experiment having two types of level of factor A and the two level of factor B also the three of the treatment that are similar and the one is totally distinct from the others
So here the treatment pattern would be the pattern in which the important and main impact would be generated for both A and B and then an interaction
hence, the last option is correct
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Alexander owes $17.75 to his friend. He borrows $6.50 more from his friend. Which of the following numbers best represents Alexander’s total debt?
Answer:
$24.25
Step-by-step explanation:
$(17.75 + 6.5)
= $24.25
Hope this helped!
Find the sum of 1
5
and 7
10
The expression written in equivalent form with common denominators is
.
The sum is
.
Answer:
1+5+7+10=23
hope that's what u meant?
Answer:
✔ 2/10 + 7/10
✔ 9/10
Step-by-step explanation:
The Miller family wants to join a public swimming pool that charges a fee of $25.00 per year and then $3.00 for each visit.
A. Draw a graph to show the yearly cost to the Miller family.
B. Can the cost be represented by linear function? why or why not?
C. Write a function to model the yearly cost to the Miller family. Make sure to define variables.
D. If the pool decided to charge $3.50 per visit, how would you graph change?
Answer:
B) Yes
C) C = 3x + 25
Step-by-step explanation:
Given that:
Yearly charge = $25
Charge per visit = $3
The yearly cost will depend on the number of visits for the year :
B.) Cost can be represented by a linear function, as the graph it yields is a straight line graph having intercept and slope.
C.) C = mx + b
Where ;
b = intercept = yearly cost
m = slope or gradient = cost per visit
C = total cost
x = number of visits
Hence,
C = 3x + 25
6 Use the Distributive Property to simplify.
7(x-3)
Answer:
7x-21
Solution:
7 times x and 7 times negative 3
Answer:
[tex]\huge\boxed{\sf{7x-21}}[/tex]
Step-by-step explanation:
Hello.
The Distributive property states that
a(b+c)=ab+ac
Where
a, b, and c = variables/constants
Now, simplify the expression:
7(x-3)
Multiply x and 3 times 7 and subtract the products:
7x-21
I hope it helps & have an outstanding day.
[tex]\boxed{imperturbability}[/tex]
2. Graph x < 8 and x > -1.
Answer:
I'll try my best in explaining the steps.
Considering both signs are greater than and less than sign, its an open circle.
For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.
For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.
Step-by-step explanation:
Do dis pls and don’t be toxic and take points
answer choices
AAS
ASA
SSS
HL
SSA
AAA
SAS
On weekdays, a bakery sells 240 cupcakes per day. If the bakery sells 330 cupcakes per day on weekends, by what percent do the sales increase?
Answer:
Percentage increase= 37.5%
Step-by-step explanation:
Giving the following information:
Sales on weekdays (Q0)= 240 units
Sales on weekends (Q1)= 330 units
To calculate the percentage increase, we need to use the following formula:
Percentage increase= [(Q1/Q0) - 1]*100
Percentage increase= [(330/240) - 1]*100
Percentage increase= 37.5%
Water flows through a pipe at a rate of 4 quarts per month.Express this rate of flow
in gallons per day. Round your answer to the nearest hundredth.
The rate of flow of water through a pipe is gallons per day is 3.333%.
Given that, water flows through a pipe at a rate of 4 quarts per month.
We need to express this rate of flow in gallons per day.
How many quarts make a gallon?4 quarts will make a gallon.
Now, according to the question, 1 gallon of water flows through a pipe per month.
We know that number of days in a month is equal to 30 days.
Per day=1 gallon of water/Number of days in a month
=1/30 gallons of water.
The rate of flow in gallons per day=1/30 × 100
=3.3333%≈3.333%
Therefore, the rate of flow of water through a pipe is gallons per day is 3.333%.
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Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms X Clear * Undo Redo
Answer:
[tex]T_{10} = 0.05078125[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Step-by-step explanation:
Given:
Sequence = 26, 13, 6.5 ....
Solving (a): The 10th term
The sequence is a geometric progression and the nth term will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case:
[tex]n = 10[/tex]
[tex]r = \frac{T_2}{T_1}[/tex] --- Common Ratio
[tex]r = \frac{13}{26}[/tex]
[tex]r = 0.5[/tex]
[tex]a = 26[/tex] --- First term
So, [tex]T_n = ar^{n-1}[/tex] becomes
[tex]T_{10} = 26 * 0.5^{10-1}[/tex]
[tex]T_{10} = 26 * 0.5^{9}[/tex]
[tex]T_{10} = 26 * 0.001953125[/tex]
[tex]T_{10} = 0.05078125[/tex]
Solving (b): The sum of first 18 terms
This will be calculated using:
[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]
Substitute values for n, a and r
[tex]S_{18} = \frac{26 * (1 - 0.5^{18})}{1 - 0.5}[/tex]
[tex]S_{18} = \frac{25.9999008179}{0.5}[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Hence, the sum of first 18 terms is 51.9998016358
HELP ME ASAP!!
Write a rule for the nth term of the geometric sequence using the given information: a1= 5 and r=2
Answer:
[tex] \huge A (n) = 5 ({2})^{n - 1} \\ [/tex]
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]A(n) = a _ 1( {r})^{n - 1} [/tex]
a1 is the first term
r is the common ratio
From the question we have the final answer as
[tex]A (n) = 5 ({2})^{n - 1} [/tex]
Hope this helps you
According to the National Telecommunication and Information Administration, 51% of U.S. households had Internet access in 2001.
a. If we select four U.S. households at random (with replacement), what is the probability that all four had Internet access in 2001?
b. What is the probability that at least one of four randomly selected U.S. households had Internet access in 2001?
Answer:
a
[tex]P(X = 4 ) = 0.0677 [/tex]
b
[tex]P(X \ge 1 ) = 0.9424 [/tex]
Step-by-step explanation:
From the question we are told that
The probability of a US household having an internet access in 2001 is p = 0.51
The sample size is n = 4
Generally the distribution of the number of US household with internet access at 2001 follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that all four had Internet access in 2001 is mathematically represented as
[tex]P(X = 4 ) = ^{4}C_4 * (0.51)^4 (1- 0.51)^{4-4}[/tex]
=> [tex]P(X = 4 ) = 0.0677 [/tex]
Generally the probability that at least one of four randomly selected U.S. households had Internet access in 2001 is mathematically represented as
[tex]P(X \ge 1 ) = 1 - P(X < 1 ) = 1- P(X = 0 )[/tex]
=> [tex]P(X \ge 1 ) = 1- [^{4}C_0 * (0.51 )^0 * (1- 0.51 )^{4-0 } ][/tex]
=> [tex]P(X \ge 1 ) = 1- [1 * 1 * (0.49 )^{4 } ][/tex]
=> [tex]P(X \ge 1 ) = 0.9424 [/tex]
Help pleaseeeeeeeeeeeeeeeee
Answer: 0.92 feet (choice B)
You're close but not quite there. To get the answer, you divide 29.44 over 32
If you had 32 feet of banner and 32 students, then each student would get 32/32 = 1 foot. Since the length of the banner is smaller than the number of students, this means each student only gets a fraction of a foot. This fraction value is fairly close to 1 because 29.44 is close to 32.
Answer:
B: 0.92
Step-by-step explanation:
Divide the banner length by the amount of students
[tex]\frac{29.44}{32}[/tex]
what is the value of 3.85+0.004+0.117?
Answer: 3.971
Step-by-step explanation: first, you need to set up your addition problem. When adding decimals, you need to line up the decimal points. So you get something like this:
3.85
0.004
0.117
+————-
Then you add vertically and you get your answer of 3.971
Your welcome :)
The value of the given expression ( 3.85+0.004+0.117 ) is 3.971.
What is summation?
The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.
first, you need to set up your addition problem. When adding decimals, you need to line up the decimal points. So you get something like this:
3.850
0.004
0.117
+————-
3.971.
Then you add vertically and you get your answer of 3.971.
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HELP Identify any vertical, horizontal, or oblique asymptotes in the graph of y = f(x). State the domain of f
Step-by-step explanation:
hope this helps, happy learning
Two vertical asymptotes exist. The leftmost one's equation is, x = -6, and the rightmost one's equation is, x = 6.
What is oblique asymptotes?An asymptote along a line is called an oblique or slant asymptote. Oblique asymptotes are formed when the degree of the denominator of a rational function is one less than the degree of the numerator. For example, the function has a vertical asymptote at the line and an oblique asymptote about the line. (-, -6) U (-6, 6) U Domain: (6, )On the f(x) graph, there are two vertical asymptotes. The equation for the left one is x = -6, and the equation for the right one is x = 6.Because there are vertical asymptotes at x=-6 and x=6, the domain of f is (-infinity -6) U (-6,6) U.Domain: ,(-∞, -6) U (-6, 6) U (6, ∞)
There are two vertical asymptotes on the f(x) graph. The leftmost one's equation is:
x = -6
and the equation of the rightmost one is:
x = 6
Part B
The vertical asymptotes at x=-6 and x=6 define the domain of f as follows:
(-∞, -6) U (-6, 6) U (6, ∞)
Therefore, Two vertical asymptotes exist. The leftmost one's equation is x = -6, whereas the rightmost one's equation is x = 6.
The complete question is:
Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain of f. Identify any vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. There is only one vertical asymptote. Its equation is (Type an equation.)OB. There are two vertical asymptotes. The equation of the leftmost one is and the equation of the rightmost one is (Type an equation.)OC. There are no vertical asymptotes.
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Use root test to determine the series is convergent/divergent or inconclusive
You can first condense the series to make it simpler to study. If n is odd, then n = 2k - 1, and if n is even, then n = 2k for some k ≥ 1. So for each k, you can pair up the k-th terms of the odd- and even-indexed series.
odd:
[tex]\dfrac1{3^{\frac{n+3}2}}=\dfrac1{3^{k+1}}[/tex]
even:
[tex]\dfrac1{3^{\frac n2}}=\dfrac1{3^k}[/tex]
So the series can be re-indexed as
[tex]\displaystyle\sum_{n=1}^\infty a_n=\sum_{k=1}^\infty a_k=\sum_{k=1}^\infty \left(\frac1{3^{k+1}}+\frac1{3^k}\right)=\sum_{k=1}^\infty\frac4{3^{k+1}}[/tex]
By the root test, the series converges, since
[tex]\displaystyle\lim_{k\to\infty}\sqrt[k]{\left|\frac4{3^{k+1}}\right|}=\frac13\lim_{k\to\infty}\left(\frac43\right)^{\frac1k}=\frac13<1[/tex]
x = 8 is a solution for the equation x/2 = 4
Answer:
x = 8 is a solution for the equation
Mike was training for a marathon. On his first day, he ran 2.45 kilometers. On the second day, he ran 3.8 kilometers. How far did he run altogether?
Answer:
6.25 kilometers
Step-by-step explanation:
2.45km + 3.8km
= 6.25km
Answer: 6.25 Kilometers
Step-by-step explanation:
First, take 2.45 Kilometers from day one
Then take 3.8 Kilometers from day two
Now add them together for the result of
6.25 Kilometers
I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $20per foot, and the fencing for the east and west sides costs $10 per foot. If I have a budget of $200 for the project, what are the dimensions of the garden with the largest area I can enclose? HINT [See Example 2.]
ft (smaller value) ? ft (larger value)
ft2
Answer:
Length = [tex]5\ \text{ft}[/tex]
Breadth = [tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the length of the garden
and [tex]y[/tex] be the width of the garden
From the details of the cost in the question we get
[tex]20x+2\times (10y)=200\\\Rightarrow 20x+20y=200\\\Rightarrow x+y=\dfrac{200}{20}\\\Rightarrow x+y=10\\\Rightarrow y=10-x[/tex]
Now area of the garden is
[tex]A=xy\\\Rightarrow A=x(10-x)\\\Rightarrow A=10x-x^2[/tex]
Differentiating with respect to x we get
[tex]\dfrac{dA}{dx}=10-2x[/tex]
Equating with 0
[tex]0=10-2x\\\Rightarrow x=\dfrac{-10}{-2}\\\Rightarrow x=5[/tex]
Double derivative of the area is
[tex]\dfrac{d^2A}{dx^2}=-2<0[/tex]
So, area is maximum at [tex]x=5[/tex]
[tex]y=10-x=10-5\\\Rightarrow y=5[/tex]
So, the length and breadth of the rectangle is [tex]5\ \text{ft}[/tex].
Find the values of a and b such that x² + 2x - 7 = ( x + a )² + b
Answer:
a = 1 ; b = - 8
Step-by-step explanation:
x² + 2x - 7 = (x² + 2x + 1) - 1 - 7 = (x + 1)² - 8
a = 1
b = - 8
Answer:
a = 1 , b = -8
Step-by-step explanation:
(x+1)^2 = x^2+2x+1
x^2+2x+1-8 = x^2+2x-7
if a(2x-3)=bx+5 then the solution for x in terms of a and b is
Answer:
x=(3a+5)/(2a-b)
Step-by-step explanation:
first we distribute the a to the 2x and -3
2ax -3a=bx+5
we move the -3a over by adding 3a
2ax=bx+5+3a
then we move the bx over
2ax-bx=5+3a
we can now group the left side like this
x(2a-b)=5+3a)
to find x all we must do is divide both sides by (2a-b)
x=(3a+5)/(2a-b)
How much does Kelly make an hour if she worked 35 hours and made $323.75 this
week?
Answer: $9.25 an hour
Step-by-step explanation:
3. Express the following algebraic expressions in standard form.
4. (x + 7)(x - 2) = 0
5. 2x(x + 1) = 12
Answer:
x^2+5x-14=0
Step-by-step explanation:
(x+7)(x-2)=0
x (x-2)+7 (x-2)=0
x^2-2x+7x-14=0
x^2+5x-14=0
A liquid storage container is leaking at a rate of 2/3 gallon every 1/4 hour. What is the unite rate?
Answer:
2 gallons an hour
Step-by-step explanation:
This is a fraction equal to
2 gal ÷ 1 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
2 gal
÷ 1
1 hours
÷ 1
=
2 gal
1 hour
=
2 gal
hour
= 2 gal per hour
Answer:
3/8
Step-by-step explanation:
1/4 ÷ 2/3 = 3/8
Find the percent as a fraction. Simplify if possible.
33 1/3%
Answer:
The answer would be 100/3
Step-by-step explanation:
Answer: 33 1/3% as a fraction is 1/3. It cannot be simplified. Hope this helps!
A train stops at Atlanta, then at Bayville, and then at Colleyville. The
distance from Atlanta to Colleyville is 25.5 miles, and the distance from
Atlanta to Bayville is 10 2/3 miles.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as what is required of the question is not stated.
However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.
Represent the distance from Atlanta to Colleyville with AC
Represent the distance from Atlanta to Bayville with AB
Represent the distance from Bayville to Colleyville with BC
So, we have that:
[tex]AC = 25.5\ miles[/tex]
[tex]AB = 10\frac{2}{3}\ miles[/tex]
The relationship between AB, AC and BC is:
[tex]AC = AB + BC[/tex]
Make BC the subject of formula:
[tex]BC = AC - AB[/tex]
[tex]BC = 25.5 - 10\frac{2}{3}[/tex]
Convert fraction to decimal
[tex]BC = 25.5 - 10.7[/tex]
[tex]BC = 14.8[/tex]
Hence, the distance from Bayville to Colleyville is 14.8 miles
A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours? A y=55x+190 B y=55x+45 C y=45x+190 D y=45x+55
Answer:
The linear function that models the charge for hiring the technician for x hours is y=45*x + 55
Step-by-step explanation:
The linear function is defined by the equation
f(x) = mx + b or y = mx + b
where m is the slope of the line and b is the y-intercept.
In this case you want to represent a linear function that models the charge for hiring the technician for x hours, that is, y represents the charge for hiring the technician and x the number of hours.
Given the coordinates of two points (x1, y1) and (x2, y2), you can determine the equation of the line first knowing the slope m by:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
In this case, the points are:
(x1,y1)= (3,190)(x2,y2)= (7,370)So:
[tex]m=\frac{370-190}{7-3}[/tex]
Solving:
m=45
To obtain the value of b, once you have replaced the value of m in the equation, you must substitute the values of x and y for the values of the coordinates of one of the points, and solve for b to obtain its value. In this case you replace the value of point 1:
[tex]y=45*x+b[/tex]
[tex]190=45*3+b[/tex]
And you get:
190= 135 + b
190 - 135= b
55= b
So, the linear function that models the charge for hiring the technician for x hours is y=45*x + 55
We want to find a linear equation that models the charge for hiring the technician for x hours.
The correct option is D, the equation is:
y = ($45/h)*x + $55
We know that a general linear equation is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we have two points, one given by:
(3 hours, $190)
The other given by:
(7 hours, $370)
Then the slope is given by:
[tex]a = \frac{\$ 370 - \$ 190}{7h - 3h} = \$ 45/h[/tex]
This means that he charges $45 per hour.
Replacing that in the general equation we get:
y = ($45/h)*x + b
To find the value of b, we use the fact that he charges $190 for 3 hours, then we can solve:
$190 = ($45/h)*3h + b
$190 = $135 + b
$190 - $135 = b = $55
Then the equation is:
y = ($45/h)*x + $55
So the correct option is D.
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17. Find m2 USW if m_ USW = 7x - 34 and m2 TSR = 4x + 29.
Answer:
Step-by-step explanation:
Find the diagram attached. From the diagram, we can see that;
<USW = <TSR (vertically opposite angles)
Given
<USW = 7x-34
<TSR = 4x+29
Equate
7x-34 = 4x+29
7x-4x = 29+34
3x = 63
x = 63/3
x = 21°
Find <USW
<USW =7x-34
<USW =7(21)-34
<USW = 147-34
<USW = 113°
Hence the measure of <USW is 113°
Rhombus ABCD has the following vertices:
A(-8,11)
B(-1, -13)
C(14,7)
D(7,31)
Is rhombus ABCD a square, and why?
Answer: No because BC is not perpendicular to AB.
Step-by-step explanation:
Yes, rhombus ABCD is a square as all four angles of the rhombus are right angles.
A square is a special type of rhombus where all four sides have the same length and all four angles are right angles.
In this case, we can see that all four sides of the rhombus have the same length by calculating the distance between each pair of vertices. For example, the distance between A and B is:
distance = [tex]\sqrt{[/tex] [tex]((-8 - (-1))^2[/tex] + [tex](11 - (-13))^2[/tex])
distance = [tex]\sqrt{[/tex] ([tex]7^2[/tex] + [tex]24^2[/tex])
distance = [tex]\sqrt{[/tex] (625) = 25
The distance between each other pair of vertices is also 25, so all four sides of the rhombus have the same length.
We can also see that all four angles of the rhombus are right angles by calculating the angles between each pair of adjacent sides. For example, the angle between sides AB and BC is:
angle = arctan((13 - (-13))/(-8 - (-1)))
angle = arctan(26/7)
angle = 78.6°
The angle between each other pair of adjacent sides is also 78.6°, so all four angles of the rhombus are right angles.
Therefore, rhombus ABCD is a square.
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