Step 1: We need to determine b by using slope-intercept form, the given slope, and the given line.
\(-3 = 2(-4) + b\\\\-3 = -8 + b\\\\5 = b\)
Step 2: Now we create the slope-intercept form for the line.
\(y = 2x + 5\)
Step 3: We can now change the above equation to standard form.
\(y = 2x + 5\\\\-2x + y = 5\\\\-2x + y - 5 = 0\)
The equation of the line in STANDARD FORM is: D. -2x + y - 5 = 0.
Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops how many hens does her in all if every hens lays 9 on Monday how many eggs will farmer Jim collect on Monday
Question
Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops
a) how many hens does she have ?
b) if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday
Answer:
a) 240 hens
b) 2160 eggs
Step-by-step explanation:
a) Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops
Hence,
1 coop = 12 hens
20 coops = y hens
Cross Multiply
y hens = 20 coops × 12 hens/1 coop
y hens = 240 hens
Therefore Farmer Jim has 240 hens
b) We are told in question b that: if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday?
From question a) we determine that the number of hens that Farmer Jim has:
240 hens
Hence,
1 hen = 9 eggs
240 hens = z eggs
z eggs = 240 hens × 9 eggs/1 hen
z eggs = 2160 eggs
Therefore, on Monday Farmer Jim will collect 2160 eggs
Which of the following numbers is an imaginary number?
A. -3²
B. (-5)2
C. √5
D. √-49
E. -√36
Answer:
B
Step-by-step explanation:
-3^2 =+8999999999999999999999(9())))))))(-"""&+(()))))(&&%422222222222223
Which prism had the greatest volume? Is this the prism that you predicted would have the greatest volume? Which prism had the smallest volume? Why Why do you think this prism had the greatest volume? a. b. d. c. Item Name Length (in) Width (in) Height (in) Volume
It is not possible to provide a complete answer without the specific values of the length, width, and height of each prism. However, in general, the prism with the greatest volume is typically the one with the largest dimensions.
This is because volume is calculated by multiplying the length, width, and height together, so a prism with larger dimensions will have a greater volume than one with smaller dimensions.
As for the prism with the smallest volume, this would likely be the one with the smallest dimensions. Again, without the specific values, it is difficult to determine which prism has the smallest volume.
In order to predict which prism will have the greatest volume, one would need to know the dimensions of each prism. By comparing the dimensions of each prism, one can determine which one has the greatest volume. The prism with the largest dimensions will have the greatest volume, as volume is directly proportional to the dimensions of the prism.
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PLEASE HELP ME
Identify the asymptotes and where they occur in the graphs of the rational functions:
Answer:
Guess what I don't know
Step-by-step explanation:
100000000000000
4. Leah has $50. She buys 3 shirts for the same price and
gets $20.75 back. How much was each shirt?
Question I need help with 3:
The angle x in the circle is 12 degrees.
How to find angles in a circle?The angles at the circumference subtended by the same arc are equal. In other words, the angles at the circumference subtended by the same arc are congruent.
Therefore,
3x = 36°
divide both sides of the equation by 3
x = 36 / 3
x = 12
Therefore,
x = 12 degrees
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a large group of people get together. each one rolls a die 150 times, and counts the number of aces (with a single dot). about what percentage of these people should get counts in the range 20 to 30? choose the closest answer.
Based on probability calculations, approximately 7% of the people in the large group should obtain counts in the range of 20 to 30 aces when rolling a die 150 times.
When rolling a fair six-sided die, the probability of getting an ace (a single dot) is 1/6. Therefore, the probability of not getting an ace in a single roll is 5/6. To calculate the probability of obtaining a specific number of aces in 150 rolls, we can use the binomial distribution. In this case, the number of trials is 150, and the probability of success (getting an ace) in each trial is 1/6.
Using statistical calculations, we can determine the probability of obtaining counts between 20 and 30 aces. This involves summing the probabilities of getting 20, 21, 22, ..., 30 aces individually. This range of counts corresponds to a relatively small portion of the entire distribution. By calculating these probabilities and summing them, we find that the percentage of people who should obtain counts in the range 20 to 30 is approximately 7% of the total group size.
It's important to note that these calculations assume a fair six-sided die and independent rolls. The actual outcomes may vary due to chance, but on average, about 7% of the individuals in the large group would be expected to have counts in the specified range.
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X
Dogs
0
16
12
10
10
Name
Problem # 1 (worth 50 points)
Carlos and Clarita are making a lot of some of the issues they need to consider as part of their business plan to care for
cats and dogs while their owners are on vacation.
Cats
40
0
12
14
10
Space Used
A
Date
Space: Cat pens will require 6/r of space, while dog runs require 24/r. Carlos and Clarita have up to 360 f
available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Start-up costs: Carlos and Clarta plan to invest much of the $1280 they earned from their last business venture
to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run
0-24 n 40-6n
Complete the table below based on the scenario. Determine whether the combinations of cats and dogs fit within the
conditions of the constraints listed above.
-
ZOOM +
. Pampering time constraint: (25 points)
2 TS
Cost
R0-580 40-$32-5
Period
Works?
Yes if Used
Space 5360¹
and
Costs$1280
Points
10
10
10
10
10
Problem #2 (worth 50 points)
Carlos and Clarita have been worried about space and start-up costs for their pet sitting business, but they
realize they also have a limit on the amount of time they have for taking care of the animals they board. To
keep things fair, they have agreed on the following time constraints.
. Feeding time: Carlos and Clarita estimate that cats will require 6 minutes twice a day-moming and
evening to feed and clean their litter boxes, for a total of 12 minutes per day for each cat Dogs will
require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos
can spend up to 8 hours each day for the moming and evening feedings but needs the middle of the
day off for baseball practice and games.
Pampering time: The twins plan to spend 16 minutes each day brushing and petting each cat, and
20 minutes each day bathing or playing with each dog. Clarita needs time off in the morning for the
swim team and evening for her art class, but she can spend up to 8 hours during the middle of the
day pampering and playing with the pets.
Write each of these additional time constraints symbolically
. Feeding time constraint: (25 points)
a
Answer:
problem 2
Step-by-step explanation:
The feeding time constraint for cats can be written symbolically as:
12 minutes/day * number of cats <= 8 hours/day
The feeding time constraint for dogs can be written symbolically as:
20 minutes/day * number of dogs <= 8 hours/day
The pampering time constraint for cats can be written symbolically as:
16 minutes/day * number of cats <= 8 hours/day
The pampering time constraint for dogs can be written symbolically as:
20 minutes/day * number of dogs <= 8 hours/day
the grand bakery produces 60 special sourdough rolls every day. any rolls that are not sold each day are given to the employees. they have collected sales data from the past week: day rolls sold 1 50 2 50 3 48 4 60 5 53 6 60 what is the value of f6 if they use a 3-day weighted moving average with w1
Thus, the value of f6 using a 3-day weighted moving average with w1 is 60.
To calculate the 3-day weighted moving average with w1 for the value of f6, we need to first calculate the weighted average for the past three days.
The formula for weighted moving average is:
WMAt = [(P1 * w1) + (P2 * w2) + (P3 * w3)] / (w1 + w2 + w3)
where:
- WMAt is the weighted moving average for time t
- P1, P2, P3 are the values of the variable for the three time periods being averaged
- w1, w2, w3 are the weights assigned to each period (in this case, w1 = 1 and w2 = w3 = 0)
For the past three days, we have:
- Day 4: 60 rolls sold
- Day 5: 53 rolls sold
- Day 6: 60 rolls sold
Using the formula above with w1 = 1 and w2 = w3 = 0, we get:
WMA6 = [(60 * 1) + (53 * 0) + (60 * 0)] / (1 + 0 + 0) = 60
Therefore, the value of f6 using a 3-day weighted moving average with w1 is 60.
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convert 336g to m³
\(336g \: to \: m3\)
The conversion 336g to m³ is impossible because they measure different units
How to convert 336g to m³From the question, we have the following parameters that can be used in our computation:
Convert 336g to m³
To convert a unit to another, the units must measure the same quantity
Take for instance:
Grams can be converted to kilograms because they both measure mass
Using the above as a guide, we have the following:
336g to m³ cannot be done because of the different quantities they represent
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Find the simple Interest
I=?
P=$1300
R= 5%
T=6 years
$390
$1690
O $39000
Answer:
Step-by-step explanation:
P =$ 1300
R = 5% = 0.05
T = 6 years
I = P * R *T
= 1300 * 0.05 * 6
= $ 390
What is the perimeter of a triange with sides √125, √5, √20?
8√5
150
Not possible
None of the choices are correct
The perimeter of a triangle with sides √125, √5 and √20 is 8√5 units.
A triangle with sides √125, √5 and √20.
The perimeter of a shape is defined as the total distance around the shape.
Here, perimeter = √125+√5+√20
= √25×5+√5+√4×5
= 5√5+√5+2√5
= 8√5 units
Therefore, option A is the correct answer.
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PLEASE HELP.I WILL GIVE YOU BRAINLIEST
Answer:
A. 140
Step-by-step explanation:
The angle symbol on angles 1 and 2 indicates they are equal. Since angle 2 is 40 degrees, angle 1 is as well. Angles 1 and 4 are also equal because they are vertical angles. Angle 1+Angle 4 is 40+40=80. The sum of all of the angles is 360. 360-80=280. Since angles 3 and 5 are also vertical angles, 280/2=140. Therefore angle 5 is 140 degrees.
A yogurt costs 40p how many can be bought for three pounds
Answer:
How much does it cost?
How much is it per pound?
How many pounds is it?
If you can answer theres I can give you the answer.
A two-digit number read from left to right is 20% greater than the same number read from right to left. Find the number.
Answer:
54
Step-by-step explanation:
We'll call the number "ab".
From left to right, the value of this number will be \(10a+b\).
From right to left, the value of this number will ve \(10b+a\).
From the question,
\(10a+b=1.2(a+10b)\\10a+b=1.2a+12b\\8.8a=11b\)
For a and b to be whole numbers,
\(\left \{ {{a=5} \atop {b=4}} \right.\)
So the number is 54.
yakubu and bello owned a business in which the ratio of their shars was 3:5, respectively. if yakubu later sold 3/4 of his share to bello for N180000, what is the value of the business?
The value of the yakubu and bello business is N80,000.
Let's start by determining the original value of Yakubu and Bello's shares in the business before the sale took place.
The ratio of their shares is given as 3:5, which means Yakubu owns 3 parts and Bello owns 5 parts out of a total of 3+5 = 8 parts.
Now, let's assume the value of the business is represented by "V" (to be determined).
Since Yakubu later sold 3/4 of his share to Bello, this means he sold 3/4 * 3 = 9/4 parts of the business to Bello.
The value of 9/4 parts of the business is N180,000, so we can set up the following equation:
(9/4) * V = N180,000
To solve for V, we multiply both sides of the equation by 4/9:
V = (4/9) * N180,000
V = N80,000
Therefore, the value of the business is N80,000.
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let g( x)be a vertical stretch by a factor of 2 and a horizontal translation 3 to the left of f (x )= x ^ 5 + 3x .write a rule for g( x )
Let us first do the stretch factor of 2
\(2x^5+6x\)and then, we have to translate 3 units to the left
\(2(x+3)^5+6(x+3)\)So we get that
\(g(x)=2(x+3)^5+6(x+3)\)The graph shows the range of amounts of carbon dioxide (CO2) given off to produce one kilowatt/hour for different methods
of electricity production.
How does the amount of carbon dioxide given off by nuclear power compare with the amount of carbon dioxide produced by other
sources of energy?
A)
B)
C)
D)
Nuclear power produces the second lowest amount of carbon dioxide in
the graph.
Nuclear power produces the second highest amount of carbon dioxide in
the graph.
G
Nuclear power produces less carbon dioxide than all other sources of
power in the graph.
Nuclear power produces more carbon dioxide than all other sources of
power in the graph.
You have a set of 10 cards: five red and five blue. Each group of five colored cards is numbered one through five. What is the probability of drawing a red four and then a blue four, while replacing the card between the drawings?
1/100
1/10
1/20
1/90
The probability of drawing a red four and then a blue four is:
P = 1/100
How to get the probability?
We know that there are 10 cards in total, then the probability of drawing a red four (there is only one of these cards) is:
p = 1/10
Now we put the red four again, the probability of getting a red blue is computed in the same way:
q = 1/10
The probability for both events happening consecutively is:
P = p*q = (1/10)*(1/10) = 1/100
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(a) Write each set using the listing method, if necessary. Then decide which of the sets are equal.
A = {6, 8, 10, 14}
B = {x | x is an even number from 6 through 14. }
C = {x | x is a number from 6 through 14 and is divisible by 2. }
Multiple choice:
- Sets A and B are equal.
- Sets A and C are equal.
- Sets B and C are equal.
- Sets A, B, and C are equal.
- None of these sets are equal to one another.
Explain your reasoning.
(a) Write each set using the listing method, if necessary. Then decide which of the sets are equal. A = {6, 8, 10, 14} B = {x
None of these sets are equal to one another.
Set A is given as {6, 8, 10, 14}. This is a listing of specific numbers in ascending order.
Set B is defined as {x | x is an even number from 6 through 14}. In this set, the elements are described using a rule or condition. The set includes all even numbers between 6 and 14, inclusive.
Set C is defined as {x | x is a number from 6 through 14 and is divisible by 2}. Similar to set B, set C also uses a rule or condition to describe its elements. The set includes all numbers between 6 and 14 that are divisible by 2, i.e., all even numbers between 6 and 14.
Now, let's analyze the equality of the sets:
Set A contains the specific elements {6, 8, 10, 14}.
Set B contains the even numbers from 6 through 14, which are {6, 8, 10, 12, 14}.
Set C also contains the even numbers from 6 through 14, which are {6, 8, 10, 12, 14}.
Comparing the sets, we can see that Sets B and C have the same elements, {6, 8, 10, 12, 14}. Therefore, Sets B and C are equal.
However, Set A only contains the elements {6, 8, 10, 14}, which is not the same as the elements in Sets B and C. Therefore, Set A is not equal to Sets B and C.
In summary:
- Sets A and B are not equal.
- Sets A and C are not equal.
- Sets B and C are equal.
- None of these sets are equal to one another.
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Solve the inequality 34q−23q<512q−112 and write the solution in interval notation.
Answer: \(q=\frac{112}{501}\)
Step-by-step explanation:
1) Add similar elements: 11q < 512q - 112
2) Subtract 512q from both sides: 11q - 512q < 512q - 112 - 512q
3) Simplify: -501q < -112
4) Multiply both sides by -1 to reverse the inequality: (-501q)(-1) > (-112)(-1)
5) Simplify: 501q > 112
6) Divide both sides by 501: \(\frac{501q}{501} > \frac{112}{501}\)
7) Simplify: \(q=\frac{112}{501}\)
solve |x+6| - 7 = 8
plzzzzzz
Answer:
X=9
Step-by-step explanation:
9+6=15
15-7=8
Absolute value equals a positive
Let f(x)=-3x-1 and g(x)=x^2+5 find(f•g)(-2)
Answer:
To find (f•g)(-2), we need to first calculate f(-2) and g(-2).
f(-2)=-3(-2)-1=-7
g(-2)=(-2)^2+5=9
Then, we can calculate (f•g)(-2) as follows:
(f•g)(-2)=f(-2)g(-2)=-7*9=-63
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I need help. This is a geometry project, and I need a reason why this picture is relevant to corresponding angles? It would also help if I could get a definition for corresponding angles. Please help me. I need this done today!
The picture presented is relevant to corresponding angles because it exemplifies what a corresponding angle is.
What is a corresponding angle?To have a corresponding angle the first condition is to have two or more parallel lines. Parallel lines are those that are equidistant. Now, if these two or more parallel lines are crossed by another line, an angle will be created in each line and because the lines are parallel the angle will be the same for the liens involved. This exact concept is exemplified in the rubric cube because the parallel lines crossed by another line will have the same or corresponding angles.
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What is the LCM of 20, 10 and 50?
1.50
2.100
3.10
4.200
Step-by-step explanation:
2 _|_20, 10, 50
5 _|_ 10, 5, 25
1 _|_ 2, 1, 5
Further, it is not divisible.
So, LCM = 2×5×2×5
LCM = 100 is the answer.
Hope it helps :)
\(.\)
The radius of a sphere is 22 millimeters. Find its surface area in square centimeters. Round your answer to the nearest hundredth (two decimal places). Use 3.14 to approximate pi.
Answer:
Surface area = 4πr² = 4 * 3.14 * 22² = 6082.12
Answer:
60.79 square centimeters
Step-by-step explanation:
The surface area of the sphere is 6,079.04 square millimeters. Since there are 100 square millimeters in a square centimeter, dividing by 100 converts the surface area to 60.79 square centimeters.
What is the slope of a line that is parallel to the line y 3/4x+2
Answer:
-4/3
Step-by-step explanation:
mtan × mline = -1
mtan× 3/4 = -1
mtan =-4/3
Simplify:1/6x+42+2/5x-8/3x-19
Answer:
C; -21/10X + 23
Step-by-step explanation:
Combine like terms and simplify
What is the slope of the line that passes through the points (8,8) and (20, -2)?
Answer:
-5/6
Step-by-step explanation:
Use slope intercept form: \(\frac{y_2-y_1}{x_2-x_1}\)
\(\frac{-2-8}{20-8}\) = \(\frac{-10}{12}\) = -5/6
solve for x−4 + x ≤ 9
Answer:
x ≤ 6.5
Step-by-step explanation:
x−4 + x ≤ 9
Combine like terms
2x-4≤ 9
Add 4 to each side
2x-4+4≤ 9+4
2x≤ 13
Divide by 2
2x/2 ≤ 13/2
x ≤ 6.5