Answer:
\(y-3=\frac{4}{3}\left(x-1\right)\) and \(y+1=\frac{4}{3}\left(x+2\right)\)
Step-by-step explanation:
Here is how I found out the answers, i graphed them on Desmos:
\(y+1=\frac{4}{3}\left(x+2\right)\)=solid red line
\(y-3=\frac{4}{3}\left(x-1\right)\) = dotted black line
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
1.Suppose a chef ices and decorates cupcakes in batches of 100. Each batch requires 40 minutes to setup the equipment, and each cupcake in the batch takes 1.25 minutes to process. Each unit in the batch must wait for the entire batch to be processed before moving on to packaging. What is the throughput capacity (in cupcakes and/or minutes) of the icing stage? Pick the closest answer.
.6
.8
1
1.25
1.65
2
2. Refer to the previous question. What is the throughput time for a batch of cookies, in minutes? Pick the closest answer.
1.25
2.5
40
125
140
The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.
The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).
Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake
Throughput capacity = 100 cupcakes / 1.25 minutes
Throughput capacity = 80 cupcakes per minute
The closest answer is 80 cupcakes per minute, so the correct option is .8.
The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.
Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)
Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)
Throughput time = 40 minutes + 125 minutes
Throughput time = 165 minutes
The closest answer is 165 minutes, so the correct option is 165.
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In the Lewis structure of the iodite ion,
IO2-, that satisfies the
octet rule, the formal charge on the central iodine atom is:
The formal charge on the central iodine atom in the Lewis structure of the iodite ion (IO₂⁻) that satisfies the octet rule is 0.
Formal charge can be defined as the electric charge on an atom if the electrons were distributed equally between the atoms in a compound. It can be calculated using the following formula:
FC = Valence electrons - Lone pair electrons - 1/2 Bonding electrons
In the Lewis structure of IO₂⁻, there are two oxygen atoms that each contain six valence electrons, and the central iodine atom has seven valence electrons. There are two single bonds between each oxygen atom and the central iodine atom, which account for four bonding electrons.
In the Lewis structure, there are also two lone pairs of electrons around each oxygen atom. Thus, by using the above formula, we can calculate the formal charge of the central iodine atom.
FC = 7 valence electrons - 0 lone pair electrons - 1/2 (4 bonding electrons)
FC = 7 - 0 - 2 = 5.
Thus, the formal charge on the central iodine atom is 0 since it owns the same number of valence electrons that it has in an isolated atom.
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Plz classify each angle pair as complementary, supplementary, or neither
Answer:
Complementary
Step-by-step explanation:
Complementary always adds up to 90, 43 + 47 = 90. Therefore it's Complementary
Urgent! Find the length of the tangent segment AC given circle B below
Answer:
AC ≈ 12
Step-by-step explanation:
the angle between the tangent AC and the radius BC is 90°
then Δ ABC is right
note that BC = 9 ( radius of circle )
using Pythagoras' identity in the right triangle
AC² + BC² = AB²
AC² + 9² = (9 + 6)² = 15²
AC² + 81 = 225 ( subtract 81 from both sides )
AC² = 144 ( take square root of both sides )
AC = \(\sqrt{144}\) = 12
4) Hansen attaches his A+ test to the refrigerator with a circular magnet. Out of curiosity,
he measures the magnet and calculates that it has a diameter of 2 inches. What is the
magnet's area?
() Use 3.14 for л. If necessary, round your answer to the nearest hundredth.
square inches
Submit
The magnet's area is approximately 3.14 square inches.
What is circle?
Every point in a horizontal surface that is a certain distance above another point forms a circle (center).
The area of a circle is given by the formula:
\(A = \pi r^2\)
where π is approximately equal to 3.14 and r is the radius of the circle. Since the diameter of the magnet is given as 2 inches, the radius is half of that, or 1 inch.
Plugging this value into the formula, we get:
\(A = 3.14 * 1^2\)
A = 3.14 square inches
Therefore, the magnet's area is approximately 3.14 square inches.
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Rewrite 92 and 146 as a product of their prime factors
Answer:
Step-by-step explanation:
92 -- 2*2*23
146 ---2*73
Which of the following could be the side measures of a right triangle? *
1)6 ft, 5 ft, 4 ft
2)8 ft, 7 ft, 6 ft
3)10 ft, 8 ft, 6 ft
4)12 ft, 10 ft, 8 ft
Answer:
option 1
Step-by-step explanation:
please Mark me as brainlist
The set of side lengths that could represent a right triangle is
12 ft, 10 ft, and 8 ft.
Option D is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To determine which of the given sets of side lengths could represent a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).
Using this theorem, we can check each of the given sets of side lengths to see if they satisfy this condition:
6 ft, 5 ft, 4 ft
6² + 5² = 36 + 25 = 61
4² = 16
Since 61 is not equal to 16, this set of side lengths does not represent a right triangle.
8 ft, 7 ft, 6 ft
8^2 + 7^2 = 64 + 49 = 113
6^2 = 36
Since 113 is not equal to 36, this set of side lengths does not represent a right triangle.
10 ft, 8 ft, 6 ft
10^2 + 8^2 = 100 + 64 = 164
6^2 = 36
Since 164 is not equal to 36, this set of side lengths does not represent a right triangle.
12 ft, 10 ft, 8 ft
12^2 + 10^2 = 144 + 100 = 244
8^2 = 64
Since 244 is equal to 64 + 180, this set of side lengths does represent a right triangle.
Therefore,
The set of side lengths that could represent a right triangle is 12 ft, 10 ft, and 8 ft.
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rosa has a goal of running a total of 150 miles this month each day she ran for 6 miles . what expression could rosa use to determine how many miles she has left to run after running for d days
Answer:
miles left = 150 - 6d
Step-by-step explanation:
To create this expression, let 150 be the total number of miles she needs to run. If she runs 6 miles every day, the expression for miles she has left is the total miles - 6* how many days she has been running. Your final expression for miles she has left should be 150 - 6d.
Hopefully this helps- let me know if you have any questions!
What other information is needed to prove the two triangles congruent by SAS?
Answer:
RS congruent UW
Step-by-step explanation:
If these are congruent, you have congruency by SAS
Note, A$S and SAA cannot prove congruency ;(
Which of the following is a geometric sequence?A. -5,0,10,25,45B. 1,2,4,8,16C.-3,1,5,9D. 4,8,24,96,480
Solution:
We are required to determine which is a geometric sequence.
Firstly, let us look at what a Geometric sequence is .
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
In summary, a Geometric sequence has a common ratio.
Let us take a look at the options one after the other
A. -5,0,10,25,45
\(\begin{gathered} \frac{0}{5}\text{ = 0} \\ \\ \frac{10}{0}=\infty \\ there\text{ is no common ratio here, hence it is not a Geometric sequence} \end{gathered}\)B. 1,2,4,8,16
\(\begin{gathered} \frac{2}{1}=2 \\ \\ \frac{4}{2}=2 \\ \\ \frac{8}{4}=2 \\ \\ \frac{16}{8}=2 \\ We\text{ can see that this sequence has a common ratio of 2, hence it is a geometric sequence} \end{gathered}\)C.-3,1,5,9
\(\begin{gathered} \frac{1}{-3}=-\frac{1}{3} \\ \\ \frac{5}{1}=5 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)D. 4,8,24,96,480
\(\begin{gathered} \frac{8}{4}=2 \\ \frac{24}{8}=3 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)Thus, the answer is B. 1,2,4,8,16
need to find lateral area but i don’t know how.Please help
Answer: 37.69911184
Step-by-step explanation: π(4)(3) = 12π = 37.69911184
A mathematical model is given below. Construct a Matlab & Simulink model to show the behavior of the value of x. dx d²x +3+4x+6=5cos (2t). dt² dt Hint: 2 Clock Gain 2t
The Matlab & Simulink model consists of a Clock block to generate a time signal, a Gain block to multiply the time signal by 2, and a Differential Equation block to solve the given differential equation. The Scope block is used to visualize the behavior of the variable x over time.
To construct a Matlab & Simulink model for the given mathematical model, we can use Simulink's Differential Equation block and a Clock and Gain block. Here's a step-by-step guide:
1. Open Simulink in Matlab.
2. Drag and drop a Clock block from the Simulink Library Browser into the model.
3. Drag and drop a Gain block from the Simulink Library Browser into the model.
4. Double-click on the Gain block and set the Gain value to 2.
5. Drag and drop a Differential Equation block from the Simulink Library Browser into the model.
6. Double-click on the Differential Equation block and enter the equation `d²x + 3 + 4*x + 6 = 5*cos(2*t)`.
7. Connect the output of the Clock block to the input of the Gain block, and the output of the Gain block to the input of the Differential Equation block.
8. Connect the output of the Differential Equation block to a Scope block from the Simulink Library Browser.
9. Run the simulation.
The Scope block will show the behavior of the value of x over time according to the given mathematical model.
In conclusion, The Clock block provides the independent variable t, and the Differential Equation block evaluates the given equation to compute the value of x. The simulation shows the dynamic response of x as influenced by the equation and the time signal.
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in triangle ABC , seg XY || sideAC , If 2AX = 3BX and XY = 9 , then find the value of AC
The value of AC is 22.5
The property of three parallel lines and their transversals is used to solve this sum. The property explains that if the ratio of the corresponding intercepts made on any other transversal by the same parallel lines is the same as the ratio of the intercepts made on a transversal formed by three parallel lines.
XY ║seg AC
2AX = 3BX
XY = 9
Since, 2AX =3BX
∴ AX÷ BX = 3÷2
AX + BX÷ BX = 3+2÷2
AB ÷ BX = 5÷2
Δ BCA ~ ΔBYX (SAS test of similarity)
( The SAS similarity test determines whether two triangles are similar if the ratio of the lengths of two sides of one triangle equals the ratio of the lengths of two sides of another triangle, and the included angles are equal.)
∴ BA ÷ BX = AC ÷ XY ( Corresponding sides)
∴ 5÷ 2 = AC ÷ 9
∴ AC = 22.5
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please help with all the questions,,
The solution is; 81.60 is the total amount you will leave.
Here, we have,
given that,
Your bill at a restaurant is $68 and you want to leave a 20% tip.
Find the total amount of the bill
First, determine the amount of the tip
68 * 20%
=68 * .2
=13.60
so, we get,
Add this to the bill
=68 + 13.6
=81.60
Hence, The solution is; 81.60 is the total amount you will leave.
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Your bill at a restaurant is $68 and you want to leave a 20% tip. What is the total amount you will leave?
Mr. Suarez orders a cube of clay for his art class. The height of the cube is 12 inches. Write and simplify an exponential expression to find how much clay Mr. Suarez ordered. show work
Answer:
1728 inches Total
Step-by-step explanation:
Cubes have the same height width and depth therefore the Question is 12 X 12 X 12, 12 X 12 = 144 X 12 = 1728.
Help quick please! I need this asap, it’s an assignment due at 11:59! thx!
Answer:
\(y=-1(x-2)^2+1\)
Step-by-step explanation:
The parabola has the vertex (2, 1) and goes through the point (4, -3).
We will use the vertex form, given by:
\(f(x)=a(x-h)^2+k\)
Where (h, k) is the vertex and a is the leading coefficient.
Line 1)
So, by substitution:
\(\text{Vertex}=(h,k)=(2,1)\Rightarrow y=a(x-2)^2+1\)
Lines 2-4)
Since (4, -3) is a point, y = -3 when x = 4:
\(-3=a(4-2)^2+1\)
\(-3=a(2)^2+1\)
\(-4=4a\Rightarrow a = -1\)
Line 5)
By substitution, we acquire our equation*:
\(y=-1(x-2)^2+1\)
Please verify this question if it is good.If it is not good then do it for me please anyone!
Answer:
You are correct! good job!
Step-by-step explanation:
what is the cost of installing a fence around a rectangular shaped lot if the cost of the fence is $3.25 per linear foot and the lot is 80 ft. wide and 120 ft. deep?
The cost of installing a fence around an 80 ft. wide and 120 ft. deep rectangular lot, with the fence priced at $3.25 per linear foot, will be $1,300.
To determine the cost of installing a fence around a rectangular lot, you need to calculate the total length of the fence required and then multiply that by the cost per linear foot. The given dimensions of the lot are 80 feet wide and 120 feet deep.
First, calculate the perimeter of the rectangular lot. The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length (or depth) and W is the width. In this case, the perimeter is P = 2(120) + 2(80) = 240 + 160 = 400 feet.
Next, multiply the total length of the fence by the cost per linear foot, which is $3.25. So, the cost of installing the fence is 400 feet × $3.25 per linear foot = $1,300.
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Solve each equation. 4 y-6=2 y+8
The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.
According to the given question.
We have a linear equation in one variable.
4y - 6 = 2y + 8
As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by
4y - 6 = 2y + 8
⇒ 4y - 2y - 6 = 8 ( subtracting 2y from both the sides)
⇒ 2y -6 -8 = 0 (subtracting 8 from both the sides)
⇒ 2y - 14 = 0
⇒ 2y = 14
⇒ y = 14/2
⇒ y = 7
Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.
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Can someone please help me out?
Answer:
Correct answer is
\(165 {c}^{6} {b}^{6} \)
write the first five terms of the sequence. determine if the sequence is arithmetic or geometric a (1) =7, a (n-1)
The sequence with the given recursive formula a(1) = 5 and a(n) = a(n-1) - 4 for n >= 2 is an arithmetic sequence. The first five terms of the sequence are 5, 1, -3, -7, -11.
In summary, the first five terms of the sequence are 5, 1, -3, -7, -11, and the sequence is arithmetic.
To explain the answer, let's examine the given recursive formula. The initial term of the sequence is given as a(1) = 5. Then, for each subsequent term, we subtract 4 from the previous term to obtain the next term. This implies that each term is obtained by subtracting 4 from the previous term.
Starting with the initial term a(1) = 5, we can calculate the subsequent terms as follows:
a(2) = a(1) - 4 = 5 - 4 = 1
a(3) = a(2) - 4 = 1 - 4 = -3
a(4) = a(3) - 4 = -3 - 4 = -7
a(5) = a(4) - 4 = -7 - 4 = -11
We can observe that each term is obtained by subtracting 4 from the previous term, indicating a constant difference between consecutive terms. This characteristic of the sequence makes it an arithmetic sequence.
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Give an example of a rational number that is NOT a whole number.
Answer:
−3, 8, 32, 7, -5
Step-by-step explanation:
can u help me with this
Answer:
245 degrees
Step-by-step explanation:
The circle is 360 degrees and you have only found 55 and 60 you add those together and you will get 115 to find jk you first add the numbers you have then minus them with 360 because its a circle. 360-115 will be 245 that would be your answer.
Answer:
120 degree
Step-by-step explanation:
jn-60 vwrtical oopsite angle
nk 180
jk 180-60
The delivery times (in days) for a sample of 25 orders are recorded in the accompanying table. (Times marked by an asterisk are associated with customers who subsequently placed additional orders with the company ) Identify any unusual observations (suspected outliers) in the data set, and then use the results to comment on the claim that repeat customers tend to have shorter delivery times than one-time customers. 50* 62' 54' 43' 64811 64*49* 32" 65*45* 71 55" B 50* 100 49° 74° 51' 38* 89 33* 93 57* 51* 66 Identify any unusual observations (outliers) in the data set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The outliers are listed by their delivery times as follows: (Type a whole number. Use a comma to separate answers as needed) OB. There are no outliers Does the data provided agree or disagree with the claim that repeat customers tend to have shorter delivery times? Disagree O Agree
There are two outliers in the data set: 100 and 93. These values are significantly higher than the rest of the data, and they could be due to factors other than the customer's repeat status.
How to explain the informationThe 100-day delivery time could be due to a stockout, while the 93-day delivery time could be due to a holiday delay.
The data does not agree with the claim that repeat customers tend to have shorter delivery times. The average delivery time for repeat customers is 55.8 days, while the average delivery time for one-time customers is 54.6 days. This difference is not statistically significant.
There is no clear pattern of shorter delivery times for repeat customers. In fact, the longest delivery time in the data set is for a repeat customer.
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HELP PLEASE! Answer question in screenshot!
*hint* (its not A because when I tried putting it as an answer I got it wrong!)
and please give an explanation!
Thank you!
The most appropriate model to represent the data in the table is (d)
How to determine the most appropriate modelFrom the question, we have the following parameters that can be used in our computation:
The table of values
In the above table of values, we can see that
x = Number of daysy = Miles drivenTo show as the number of miles change by day
A linear or line graph has to be plotted
Hence, the most appropriate model to represent the data is (d)
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Write a real word situation that would require an exact answer
Answer:
Julie has 5 bunnies. She looses 2. How many bunnies does she have now?
Answer: 3 bunnies left
RIP BUNNIES!!
If you wanted a harder one, then please, be more specific.
what is the probability of flipping a head in 3 consecutive flips of a fair coin?
........help me........
Using the formula of volume of rectangular prism;
1. The volume of the rectangular prism is 3672cm³
2. The volume of the rectangular prism is 630in³
3. The volume of the rectangular prism is 3744ft³
What is the volume of the rectangular prism?The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:
Volume = length × width × height
V = l × w × h
By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.
1. To find the volume of the rectangular prism, we have to substitute the value into the formula;
v = 9 * 24 * 17
v = 3672cm³
2. The volume of the rectangular prism is given as;
v = 4.5 * 14 * 10
v = 630in³
3. The volume of the rectangular prism is given as;
v = 8 * 12 * 39
v = 3744ft³
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Which numerical expression represents 1/2 the sum of 7 and 5?
The Answer:
1/2(7 + 5)
To plot 5 -9 in which direction do you move second ?
Answer/Step-by-step explanation:
Left.
To move from 0 to 5 you move right 5 spaces.
I--------------->I
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Now move left 9 spaces to subtract from 5.
I<----------------------------I
I--------------->I
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10