Slope of the function is -2/5 and intercept is -1/3 .
Given values of x and y of a function .
Now,
Firstly,
Slope = y2 -y1 /x2 - x1
slope = -2/15 - (-1/30) / -1/2 -(-2/4)
slope = -2/5
Secondly,
Calculate intercept,
y = mx + c
c = y- intercept
-3/5 = -2/5 *2/3 + c
c = -1/3
Hence slope and intercept can be found out with the standard equation y = mx + c .
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recently, it has been discovered that some people have an extra type of cone other than the three that most people with normal color vision have. what might be different for a person with a fourth type of cone?
A person having Tetrachronacy or the Fourth type of cone will be able to see more colors outside the conventional visible spectrum.
Recently, it has been found that some individuals possess a fourth form of the cone in addition to the three that the majority of people with normal color vision do.
When a person has tetrachromacy, their retina has four cone types instead of the typical three that most people do. It is caused by a hereditary mutation and only affects women.
In the retina, cones are a particular kind of photoreceptor cell. They enable us to see in color. We can see fine details because of the macula, the area of our retina where cones are concentrated. The retina has about 6 million cones and 120 million rods. A photopigment in the fourth type of cone found in tetrachromats enables them to perceive more colors outside of the conventional visible spectrum. ROY G. BIV is a better-known name for the spectrum (Red, Orange, Yellow, Green, Blue, Indigo, and Violet).
Cone cells come in three different subtypes:
Red-sensing cones (60 percent)Green-sensing cones (30 percent) andBlue-sensing cones (10 percent)To read more about cones, visit https://brainly.com/question/14836856
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Please answer correctly! I will mark you as Brainleist!
Answer:
V ≈ 1847.26
Step-by-step explanation:
Circular Cone Formulas in terms of radius r and height h:
The volume of a cone:
V = (1/3)πr2h
Slant height of a cone:
s = √(r2 + h2)
Lateral surface area of a cone:
L = πrs = πr√(r2 + h2)
The base surface area of a cone (a circle):
B = πr2
The total surface area of a cone:
A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Therefore, the solution V = πr 2h / 3 = π·142·9/ 3 ≈ 1847.25648
What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet? Round to the nearest tenth.
Enter your answer and also show your work to demonstrate how you determined your answer. Review the rubric below to see how you will be evaluated.
Answer:
30.6
Step-by-step explanation:
The closest shape to a tree trunk is a cylinder.
Area of a cylinder: 1/3πr^2h
1/3πr^2h
1/3π(1.5)^2(13)
1/3π(2.25)(13)
1/3π(29.25)
30.6
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Answer:
33.9 minutes
Step-by-step explanation:
a staright line has equation 3y-3x=4. Write down the equation of another straight line parallel to it.
Answer:
Step-by-step explanation:
1 Factor out the common term 33.
3(y-x)=4.
3(y−x)=4.
2 Divide both sides by 33.
y-x=\frac{4.}{3}
y−x=
3
4.
3 Subtract yy from both sides.
-x=\frac{4.}{3}-y
−x=
3
4.
−y
4 Multiply both sides by -1−1.
x=-\frac{4.}{3}+y
x=−
3
4.
+y
5 Regroup terms.
x=y-\frac{4.}{3}
x=y−
3
4.
\frac { 32 x ^ { 2 } } { y } + \frac { 108 y ^ { 2 } } { x } y 32x 2 + x 108y 2
Therefore , the solution of the given problem of fraction comes out to be 4((2x)³ + (3y)³) /xy.
What exactly is a fraction?To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the fraction to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the exponent or population of a complicated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of a total number or item.
Here,
Given : 32x²/y + 108y²/x
=> (32x³+ 108y³ ) /xy
=> 4(8x³ + 27y³) /xy
=> 4((2x)³ + (3y)³) /xy
Therefore , the solution of the given problem of fraction comes out to be
4((2x)³ + (3y)³) /xy.
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si el cartón de huevos es la unidad, y son 30 huevos, responde:
¿cuántos huevos hay en un medio cartón?
Answer:
quince
Step-by-step explanation:
si el cartón de huevos es la unidad, y son 30 huevos,
responde:
¿cuántos huevos hay en un medio cartón?
translation:
if the egg carton is the unit, and it is 30 eggs,
answer:
how many eggs are in a half carton?
30 divided by 2
30
----- = 15
2
Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2. 5 cm base diameter, what is the maximum height each tooth can be? Assume that the students use all the clay. A. 1. 25 cm B. 2. 27 cm C. 2. 47 cm D. 3. 57 cm E. 4. 50 cm.
The maximum height each tooth is 2.47cm.
The first step is to determine the maximum volume of a tooth.
Maximum volume of a tooth = volume of the block / number of teeth
81 cm³ / 20 = 4.05cm³
The formula to determine the height of a cone is:
Height = volume ÷ \(\frac{1}{3}\)πr²
Where:
π = pi = 22/7 r = radius = 2.5 / 2 = 1.25cmHeight = 4.05 ÷ \(\frac{1}{3}\) x \(\frac{22}{7}\) x 1.25² = 2.47 cm
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can someone prove this for me please
Tan theta * tan 2theta = 1, cos 2theta =?
Answer:123445
Step-by-step explanation: sorry I need to answer a question to get a free answer so sorry
in herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to what?
In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.
THE MATCHING LAW
Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.
After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.
Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.
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is 14.23 a irrational or rational number
Answer:
Rational
Step-by-step explanation
It can only be irrational if it repeated, but this one doesn't so it is rational.
Hope that helped
Expand the expression 4(y+z)
Answer: 4y+4z
Step-by-step explanation:
(Q2) The set of line segments _____ meet the requirements to form a triangle.8 cm4 cm3 cm
To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.
We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.
In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.
In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.
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Put each line into slope-intercept form.
1. 2y = 2x - 2
2. x+y=9.
1: y=x-1
2: y=-x+9
I need to write at least 20 characters so here’s a sentence you just read
A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10L of a 20% alcohol solution? Pls help
0.18x + 4 - 0.40x = 2
-0.22x = -2
x = 9.09
Therefore, the pharmacist should mix 9.09 liters of 18% alcohol solution and 0.91 liters of 40% alcohol solution to make 10 liters of 20% alcohol solution.
\(x=\textit{Liters of solution at 18\%}\\\\ ~~~~~~ 18\%~of~x\implies \cfrac{18}{100}(x)\implies 0.18 (x) \\\\\\ y=\textit{Liters of solution at 40\%}\\\\ ~~~~~~ 40\%~of~y\implies \cfrac{40}{100}(y)\implies 0.4 (y) \\\\\\ \textit{10 Liters of solution at 20\%}\\\\ ~~~~~~ 20\%~of~10\implies \cfrac{20}{100}(10)\implies 2 \\\\[-0.35em] ~\dotfill\)
\(\begin{array}{lcccl} &\stackrel{Liters}{quantity}&\stackrel{\textit{\% of Liters that is}}{\textit{alcohol only}}&\stackrel{\textit{Liters of}}{\textit{alcohol only}}\\ \cline{2-4}&\\ \textit{1st Sol'n}&x&0.18&0.18x\\ \textit{2nd Sol'n}&y&0.4&0.4y\\ \cline{2-4}&\\ mixture&10&0.2&2 \end{array}~\hfill \begin{cases} x + y = 10\\\\ 0.18x+0.4y=2 \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{using the 1st equation}}{x+y=10\implies y=10-x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation from above}}{0.18x+0.4(10-x)=2}\implies 0.18x+4-0.40x=2 \\\\\\ -0.22x+4=2\implies -0.22x=-2\implies x=\cfrac{-2}{-0.22}\implies \boxed{x\approx 9.09} \\\\\\ \stackrel{\textit{since we know that}}{y=10-x}\implies y\approx 10-9.09\implies \boxed{y\approx 0.91}\)
I need help with number 8….
Pls help
The equation properties are:
The distributive propertyThe associative property.The associative property.How to determine the properties?
The equations are given as:
3 * (6 + 2) = 3 * 6 + 3 * 25 * (7 * 8) = (7 * 5) * 85 * 3 * 7 = 7 * 3 * 5The distributive property of an equation states that:
a * (b + c) = ab + ac
This means that 3 * (6 + 2) = 3 * 6 + 3 * 2 is represented by the distributive property.
The associative property of an equation states that:
a * (b * c) = (a * b) * c
This means that 5 * (7 * 8) = (7 * 5) * 8 and 5 * 3 * 7 = 7 * 3 * 5 are represented by the associative property.
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What conclusion can be drawn about why volunteer divers are essential in helping the rescue
efforts of coral reefs?
A. The volunteer divers receive the same training as the marine scientists.
B. The faster the volunteer divers are trained, the quicker the coral reefs can be saved.
C. The more volunteer divers that participate, the faster the recovery attempt can occur.
D. The volunteer divers that help save coral reefs will motivate others to want to join in this
effort.
Bart R
The correct answer is C. The more volunteer divers that participate, the faster the recovery attempt can occur.
What are threats to coral reefs?There are numerous dangers to coral reefs, such as:
Climate Change - Coral bleaching is brought on by rising sea temperatures, which can result in coral death.
Pollution: Excess nutrients in the water from runoff from agriculture, sewage, and other sources can result in algae blooms that prevent coral from receiving sunlight, which ultimately kills the coral.
Overfishing - Removing an excessive number of fish can upset the delicate balance of the reef ecosystem and harm the coral.
Since they can contribute more labour to aid in the restoration and maintenance of coral reefs, volunteer divers are crucial to the rescue operations of coral reefs.
Hence, the correct answer is C. The more volunteer divers that participate, the faster the recovery attempt can occur.
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What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2
No links please. Will give Brainlest on who is right. (This gamer girl is bad at math uwu)
Answer:
1
Step-by-step explanation:
Determine the inverse of Laplace Transform of the following function.
F(s) = s³-15s^2 +6s+12 / (s²-4) (s²-6s+5)
The inverse Laplace transform of F(s) = (s³-15s²+6s+12)/((s-2)(s-1)(s-5)) is f(t) = (3/2)e^(2t) + (1/2)e^(t) - (1/2)e^(5t) + (5/2)sin(t) - (1/2)cos(t). It involves exponential and trigonometric functions.
To find the inverse Laplace transform of F(s), we first need to factorize the denominator of F(s) as (s - 2)(s - 1)(s - 5). We can rewrite F(s) as [(s³ - 15s² + 6s + 12) / ((s - 2)(s - 1)(s - 5))]. Using partial fraction decomposition, we express F(s) as [(A / (s - 2)) + (B / (s - 1)) + (C / (s - 5))]. By equating the numerators and solving for the constants A, B, and C, we find A = 3/2, B = 1/2, and C = -1/2.
The inverse Laplace transform of F(s) is now obtained by using the linearity property of the Laplace transform and the known inverse Laplace transforms. The inverse Laplace transform of A/(s - p) is A * e^(pt), so the first term in the inverse transform of F(s) is (3/2)e^(2t). Similarly, the inverse Laplace transform of B/(s - q) is B * e^(qt), so the second term is (1/2)e^(t). The inverse Laplace transform of C/(s - r) is C * e^(rt), so the third term is -(1/2)e^(5t).
The remaining terms involve sine and cosine functions. The inverse Laplace transform of 1/(s - p)^2 + q^2 is sin(qt)e^(pt), so the fourth term is (5/2)sin(t). The inverse Laplace transform of (s - p)/((s - p)^2 + q^2) is -cos(qt)e^(pt), so the fifth term is -(1/2)cos(t). Combining all these terms, we obtain the inverse Laplace transform of F(s) as f(t) = (3/2)e^(2t) + (1/2)e^(t) - (1/2)e^(5t) + (5/2)sin(t) - (1/2)cos(t).
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He pays for the board game and pays $1.54 the tax rate is 5.5%
What is the original price of the board game, before tax?
Answer:
Hsvdbdbdb
Step-by-step explanation:
Evdghdbdbs
Clare puts $600.00 into an account to use for school expenses. The account earns 10% interest, compounded annually. How much will be in the account after 5 years?
Answer:
\(A=\) $\(966.306\)
Step-by-step explanation:
we know that
The compound interest formula is equal to
\(A=P(1+\frac{r}{n})^n^{t}\)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\(t= 5\) \(years\)
\(P=\) $\(600.00\)
\(r=10\)% \(=10/100=0.10\)
\(n=1\)
substitute in the formula above
\(A=600(1+\frac{0.10}{1})^1^*^5\)
\(A=600(1.10)^5\)
\(A=\) $\(966.306\)
How much cardboard is needed to make the tissue box above? Square inches 8 3 3
To calculate the amount of cardboard needed to make the tissue box, we need to find the surface area of the box. Based on the dimensions provided (8 inches, 3 inches, and 3 inches), we can assume this is a rectangular box.
The surface area of a rectangular box is given by the formula:
Surface Area = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height of the box.
Substitute the given dimensions into the formula:
Surface Area = 2(8)(3) + 2(8)(3) + 2(3)(3)
Surface Area = 48 + 48 + 18
Add the values:
Surface Area = 114 square inches
Therefore, you will need 114 square inches of cardboard to make the tissue box.
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please help. answer my last question
What is your last question?
-2(4-x)=6(12-x)
A x=10
Bx=64
Cx=-10
Dx=-64
HELP ME !! PLEASE! !! I WOULD REALLY APPRECIATE IT!!!!
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* I'm b0red. Someone talk to me.......Please
Answer:
Hi I will talk with you
Step-by-step explanation:
Have a nice day! :)
The classifications regarding the number of solutions for the systems of equations in this problem are given as follows:
No solution: 4^x + 1 = 3^x - 1, 2x - 5 = 3^x + 2.One solution: 4^x = 2^-x, 3x + 1 = 2^-xTwo solutions: 1.5x + 2 = 2^x + 1.How to verify the number of solutions of a system of equations graphically?Each equation of the a system of equations corresponds to a curve, and to verify the number of solutions graphically in a system of equations, we must find the number of times that the curves intersect.
For this problem, we have that:
In graph 1, the curves do not intersect, hence the system 4^x + 1 = 3^x - 1 has no solution.In graph 2, the curves intersect once, hence the system 4^x = 2^-x has one solution.In graph 3, the curves intersect once, hence the system 3x + 1 = 2^-x has one solution.In graph 4, the curves intersect twice, hence the system 1.5x + 2 = 2^x + 1 has two solutions.In graph 5, the curves do not intersect, hence the system 2x - 5 = 3^x + 2 has no solution.More can be learned about a system of equations at https://brainly.com/question/24342899
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Cuatro hermanos reciben una herencia de la siguiente manera: el 1ro recibe S/.1358,el 2do S/.576, mas que el 1ro, el 3ro S/.378, mas que el 2do y el 4to S/.200, menos que el tercero.¿Cuanto fue la cantidad repartida?
HELPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP PLEASE
Graph y+6=4/5(x+3) using the point and slope given in the equation.
Use the line tool and select two points on the line.
The graph of the equation is added as an attachment below
Graph of Linear EquationThe graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation.
If all variables represent real numbers one can graph the equation by plotting enough points to recognize a pattern and then connect the points to include all points.
We have to write the equation in slope-intercept form
y = mx + c
Recall that the function is given as
y + 6 = 4/5(x + 3)
Open the brackets
y + 6 = 4/5x + 4/5(3)
Evaluate the products
y = 4/5x + 12/5 - 6
Evaluate the like terms
y = 4/5x -18/5
Next, we represent the graph on the coordinate plane using a graphing tool
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10, 7, 3.5
what's the answer
Answer:
7
Step-by-step explanation:
what is 10km times 1hour and 2 min
Answer:
20km/h
Step-by-step explanation:
Multiply h by 1 .
10 k m ⋅ h ⋅ 2
Multiply 2 by 10 .
20 m h