Answer:
Y=9x-5
Step-by-step explanation:
in y=mx+b form
Please mark me brainiest
How many onto functions are there from{1,2,3,4,5} to
{1,2,3}?
The number of onto (surjective) functions from a set of size m to a set of size n can be calculated using the Stirling numbers of the second kind. In this case, we need to determine the number of onto functions from a set of size 5 to a set of size 3.
To find the number of onto functions, we can use the Stirling numbers of the second kind. The Stirling number S(m, n) represents the number of ways to partition a set of size m into n non-empty subsets.
In this case, we want to find the number of onto functions from a set of size 5 to a set of size 3. The Stirling number S(5, 3) gives us the desired count.
Calculating S(5, 3) using mathematical formulas or referring to a table of Stirling numbers, we find that S(5, 3) equals 25.
Therefore, there are 25 onto functions from the set {1, 2, 3, 4, 5} to the set {1, 2, 3}.
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Last week a pizza restaurant sold 36 cheese pizzas, 64 pepperoni pizzas, and 20 veggie pizzas. based on this data, which number is closest to the probability that
the next customer will buy a cheese pizza?
a) 0.84
b) 0.64
c 0.36
d 0.30
I spent 3/4 of this weeks allowance on candy. Of the money she spent on candy, 56 was spent on gummy bears. What fraction of this weeks allowance does ice spend on gummy bears
The fraction of this week's allowance spent on gummy bears is 56/x. The money spent on candy will be 3/4x. Now, out of the total amount spent on candy, 56 were spent on gummy bears.
Given that,
56 was spent on gummy bears.
I spent 3/4 of this week's allowance on candy.
Let the week's allowance be x
Therefore, money spent on candy = 3/4 of x = (3/4)x
To find:
A fraction of this week's allowance is spent on gummy bears.
Now, we know that 56 was spent on gummy bears.
Therefore, the fraction of this week's allowance spent on gummy bears is 56/x.
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desribe what the value of 3/7 as a decimals would look like.
The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.
Answer:
false
true
true
false
.......
A rectangle has the following vertices. Find the area of the rectangle. (-8, – 6), (4,2), (4, -6), (-8, 2) (1 point)
O 48 square units
0 144 square units
0 38 square units
O 96 square units
Answer:
D. 96
Step-by-step explanation:
3. Robin drove 80 miles in 1.6 hours.
At what rate was Robin driving?
A 80 miles per hour
B 70 miles per hour
C 65 miles per hour
D 50 miles per hour
Answer quick plzz no website
Answer:
c
Step-by-step explanation:
hope this help!
have a good day :)
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In a recent survey, people were each asked the number of times they have been on an airplane. Here is a list of the responses.
20,7,4,6,21,10,4,12
Answer:
4,4,6,7,10,12,20,21
Step-by-step explanation:
slader the shortest path between two points on a curved surface, such as the surface of a sphere, is called a geodesic. to find a geodesic, one has first to set up an integral that gives the length of a path on the surface in question. this will always be similar to the integral (6.2) but may be more complicated (depending on the nature of the surface) and may involve different coordinates than x and y. to illustrate this, use spherical polar c
A geodesic is the shortest path between two points on a curved surface, such as a sphere. To find a geodesic, an integral is set up to determine the length of a path on the surface.
This integral is similar to the one used for flat surfaces but may be more complex and involve different coordinates depending on the nature of the curved surface. In the case of a sphere, spherical polar coordinates are commonly used.
The length of a path on a curved surface can be expressed using an integral similar to Equation (6.2) for flat surfaces. However, when dealing with a sphere, the integral may involve different coordinates, specifically spherical polar coordinates. Spherical polar coordinates consist of three components: radius (r), polar angle (θ), and azimuthal angle (φ). By expressing the path in terms of these coordinates, the integral can be set up to calculate the length of the geodesic.
To illustrate this, let's consider the example of finding the geodesic on the surface of a sphere. The integral would involve integrating the square root of the sum of squared differentials of the three spherical polar coordinates, weighted by the appropriate metric coefficients. The specific form of the integral would depend on the metric tensor associated with the spherical polar coordinate system. By minimizing this integral, the geodesic between two points on the sphere can be determined. In summary, finding the geodesic, or shortest path, between two points on a curved surface involves setting up an integral to calculate the path length. The integral is similar to the one used for flat surfaces but may be more complex and use different coordinates, such as spherical polar coordinates for a sphere. By minimizing the integral, the geodesic on the curved surface can be found.
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Please help me solve this please
You are given the following information about a population:
⢠There are two alleles: C and c.
⢠C codes for green hair and c codes for white hair.
⢠C is dominant over c.
⢠The frequency of the c allele is 0.3.
⢠The population is comprised of 100 individuals.
Assuming the population is in Hardy-Weinberg equilibrium, how many individuals have green hair?
A. 9% of the population will have green hair.
B. 91% of the population will have green hair.
C. 51% of the population will have green hair.
D. 49% of the population will have green hair.
Assuming the population is in Hardy-Weinberg equilibrium, the individuals have green hair are equal to 91% .
From the data present in problem,
Hardy and Weinberg proved mathematically that in a population all dominant and recessive alleles include all alleles for a given gene. Mathematically, denoted as p + q = 1.0
Where, p = frequency of dominant alleles (C)
q = frequency of recessive alleles (c) = 0.3
Number of population individua's = 100
Hardy and Weinberg described all the possible genotypes for a gene with two alleles. The binomial expansion representing this is,
p² + 2pq + q² = 1.0
Where, p² = proportion of homozygous dominant individuals (Green)
• q² = proportion of homozygous recessive individuals (White)
2pq = proportion of heterozygotes (Green)
Since, p+ q = 1.0
=>p = 1 - q = 1 - 0.3 = 0.7
=>p = 0.7
The genotypic frequencies are as follows:
CC (p²) = (0.7) = 0.49
Cc (2pq) = 2x(0.3)(0.7) = 0.42
cc (9²) = (0.3)² = 0.09
p² + 2pq + q² = (0.49) + (0.42)+(0.09)= 1.0
The expected number for each genotype are as follows: CC (p²) = (0.49×100) = 49
Cc (2pq) = (0.42×100)= 42
cc(q²) = (0.09×100) = 9
The number of individuals have green hair is as follows: (p²)+(2pq) = 49+42= 91
Thus, required individuals percentage is 91%.
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What is 2x2, I keep on getting it wrong. Can u please help, Thank you
Answer:
4
Step-by-step explanation:
i dont know how to use the pythagorean threom
NO LINKS PLEASE HELP ASAP PLSSS
Answer:
480 in²
Step-by-step explanation:
The Pythagorean Theorem is a²+b²=c², where "a" and "b" are side lengths of a right triangle, and c is the hypotenuse of the right triangle. We are given a side length of 30 inches and a hypotenuse of 34 inches, which will be "a" and "c" respectively. Therefore, we can solve for b, the missing side length:
a²+b²=c²
30²+b²=34²
900+b²=1156
b²=256
b=16
Therefore, the missing side length is 16 inches, making the area of the triangle A=bh=(30)(16)=480 in².
Answer:
The area is 240
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probability question
1. A fruit basket contains 5 apples and 7 oranges.Paul picks a fruit at random from the basket and eats it.He then picks another fruit at random to eat.Find the probability of Paul picking:
a) 2 apples
b) 1 apple and 1 orange
-construct a probability tree to find the answers.
The probability of getting:
a) 2 apples is 5/33
b) 1 apple and 1 orange 35/132 .
Here, we have,
given that,
A fruit basket contains 5 apples and 7 oranges.
Paul picks a fruit at random from the basket and eats it.
He then picks another fruit at random to eat.
so, we get,
total number of fruits = 12
now, we have,
a) P( pick 1 apple) = 5/12
then, P( pick another 1 apple) = 4/11
so, we get,
P( picking 2 apples) = 5/12 * 4/11 = 20/132 = 5/33
b) P( pick 1 apple) = 5/12
then, P( pick 1 orange) = 7/11
so, we get,
P( picking 1 apple and 1 orange) = 5/12 * 7/11 = 35/132
Hence, The probability of getting:
a) 2 apples is 5/33
b) 1 apple and 1 orange 35/132 .
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¿Cuál es el valor de X en la ecuación 6(4x+1)-3(2x-3)=3(4x-5)-6(x+1)?
Using mathematical operators, the value of x in the equation is -3
What is an equation?An equation is a mathematical statement that shows that two expressions are equal. There are different types of equations based on the degree. Linear equation, quadratic equation, and cubic equation are some of the common types of equations.
Linear equations have one degree, quadratic equations have two degrees, and cubic equations have three degrees. The degree of an equation is the highest power of the variable in the equation.
In the given problem, we can find the value of x by using mathematical operators.
6(4x + 1) - 3(2x - 3) = 3(4x - 5) - 6(x + 1)
Open the brackets;
24x + 6 - 6x + 9 = 12x - 15 - 6x - 6
Collect like terms
24x - 6x + 9 + 6 = 12x - 6x - 6 - 15
18x + 15 = 6x - 21
18x - 6x = -21 - 15
12x = -36
Divide both sides by the coefficient of x;
12x/12 = -36/12
x = -3
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A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area. 2 in. 2.5 in. 1.5 in. 14 in.
To find the surface area of a triangular prism, we need to find the area of both triangular bases and the area of the three rectangular faces.
The area of the first triangular base is (1/2) x base x height = (1/2) x 2 in. x 2.5 in. = 2.5 in².
The area of the second triangular base is also 2.5 in².
To find the area of the rectangular faces, we need to find the perimeter of the base and multiply it by the height of the prism. The perimeter of the base is:
2 in. + 2.5 in. + sqrt((2 in.)^2 + (2.5 in.)^2) ≈ 8.28 in.
So the area of each rectangular face is 8.28 in. x 1.5 in. = 12.42 in².
Therefore, the total surface area of the triangular prism is:
2 x 2.5 in² + 3 x 12.42 in² = 39.18 in².
the radius of a sphere is increasing at a rate of 4 mm/s. how fast is the volume increasing (in mm3/s) when the diameter is 80 mm? (round your answer to two decimal places.)
Increase in volume is 802424.77 cubic mm/s when the diameter is 80 mm.
Let the radius of the sphere be R.
So, the volume of the sphere is given by,
V = \(\frac{4}{3}\pi r^3\)
Differentiating the above relation with respect to time 't' we get,
dV/dt = 4\(\pi r^2\). dr/dt
Given that, the change of radius (dr/dt) = 4 mm/s
When the diameter is 80 mm, then the radius = 80/2 = 40 mm
So the volume change when the diameter is 80 mm is given by,
dV/dt \(=4\pi\times40^2\times4\approx 802424.77\) cubic mm/s
Hence the volume increase in 802424.77 cubic mm/s.
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which is represented by the table
Answer:
I think its is C
U have 4/9 of a large bottle of cooking oil. U pour 3/5 of the cooking oil into a smaller bottle. How much of the entire large bottle did you pour in the small bottle?
You poured approximately 0.267 liters of cooking oil from the entire large bottle into the smaller bottle.
To find out how much of the entire large bottle of cooking oil was poured into the smaller bottle, we need to multiply the fraction of the large bottle that was poured into the smaller bottle by the total amount of cooking oil in the large bottle.
Given that you have \(\frac{4}{9}\) of the large bottle of cooking oil, the fraction of the large bottle that you poured into the smaller bottle is \(\frac{3}{5}\) of \(\frac{4}{9}\). We can find this fraction by multiplying \(\frac{3}{5}\) by \(\frac{4}{9}\):
\(\frac{3}{5} * \frac{4}{9} = \frac{12}{45}\)
Simplifying this fraction by dividing both numerator and denominator by 3, we get:
\(\frac{12}{45}= \frac{4}{15}\)
Therefore, you poured \(\frac{4}{15}\) of the entire large bottle of cooking oil into the smaller bottle. To find the actual amount, you can multiply this fraction by the total amount of cooking oil in the large bottle. For example, if the large bottle contains 1 liter of cooking oil, then you poured:
\(\frac{4}{15} * 1 = 0.267\) liters.
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the total number of snares of stock in the Bulls Corporation is 650,000. Tyier owns 12% of the shares. How many shares of the Bulls Corporation stock does he own?
Answer:
650000/12% and in fraction 650000devide by 12% you will get 541.`6
Select the correct answer
Taylor wants to purchase a car with an auto loan. He can get a 48-month loan from his bank that is compounded monthly at an annual
interest rate of 7. 9%.
Suppose Taylor needs to obtain a loan for $19,076 to purchase the car.
Use the formula for the sum of a finite geometric series to determine Taylor's approximate monthly payment.
P= F p (i)
—————-
1-(1+i) -n
Answer:
$78
Step-by-step explanation:
what is the ratio of 7 :21 in their simplest form
divide both sides by 7
>>>>>> 1 : 3
Which expression represents the determinant of A=[-6 -7 -4 -2
]
Answer:
C) det(A) = (–6)(–2) – (–4)(–7)
Step-by-step explanation:
The determinant is ad-bc so when you plug in the numbers you get this answer. Also I got it right on Edge 2021 :)
Which expressions are polynomials?
Select each correct answer.
Answer:
b and d option are correct
Answer:
B, D
Step-by-step explanation:
B, D
x cannot be in a root. (A)
x cannot be in the denominator. (C)
Find an equation for the plane containing the two (parallel) lines
v1 = (0, 1, −8) + t(6, 7, −5) and v2 = (8, −1, 0) + t(6, 7, −5).
The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.
What are parallel lines?
Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.
To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),
We use the equation of a line: v = v₀ + tv₁
where v₀ and v₁ are points on the line and t is a real number.
Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)
This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.
Equate the components:
0x + 1y - 8z = D....(1)
6x + 7y - 5z = D...(2)
Now, we subtract equation (1) from (2) and we get
6x - 0x + 7y - 1y - 5z + 8z = 0
6x + 6y + 3z = 0
Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.
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1 ptSome plants rely on hummingbirds for pollination. If a deadly disease infected the hummingbird population, what would MOST likely happen to the plants? They would die within hours.They would become endangered.They would need to migrate.They would grow at a slower rate.
If a deadly disease infected the hummingbird population, what would most likely happen to the plants option (b) They would become endangered
If a deadly disease infected the hummingbird population, it would most likely lead to a decrease in the pollination of plants that rely on hummingbirds for pollination. Without the hummingbirds to transfer pollen between flowers, these plants would have a reduced rate of successful pollination, which would result in a decrease in their ability to reproduce.
However, it is unlikely that the plants would die within hours or become endangered immediately, nor would they need to migrate. The effect of the loss of hummingbird pollinators on the plants would depend on the specific plant species, their pollination requirements, and the availability of alternative pollinators. Some plants may be more adaptable to using alternative pollinators, while others may suffer more severe consequences. It is also possible that the loss of hummingbirds could lead to a decline in the populations of other animals that depend on the plants, creating a ripple effect in the ecosystem.
Therefore, the correct option is (d) They would become endangered
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Which the correct solution of the equation 1/2a + 2/3b = 50, when b=30
According to the given formula, the value of a is:
60
If b=30 then 1/2a+2/3b=50
How do you find the value of a in the given equation?First, replace the 30 in b.
1/2a+2/3(30)=50
According to the order of operations, we must first multiply 2/3 by 30. yes:
2/3 times 30 is equal to 20.
2/3 times 30/1. 3 is 10 times 30, so 2 times 10 = 20. Now it looks like this:
1/2a+20=50
20 and 50 are similar terms, so I'll put those two together. Move the positive 20 to the other side where the 50 is. 20 has moved to the other side, so it changes sign and becomes negative.
yes:
1/2a=50-20
50-20 = 30
1/2a=30
Multiply each side by 2, because only 2 makes the variable 1a.
1/2a × 2 = 1a
30 times 2 = 60, so:
1a=60, which is also a=60. So a perfect simplification is a= 60
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Which of the following best describes the equation below?
y = 3/5x+15
A. linear
B. both linear and nonlinear
C. neither linear nor nonlinear
D. nonlinear
Nonlinear
hope this helps..lemme know if im wrong <3
numbers that describe diversity in a distribution are referred to as measures of group of answer choices central tendency. association. variability. standard deviation.
Numbers that describe diversity in a distribution are referred to as measures of variability.
Measures of variability describe how spread out or dispersed the data is within a distribution. They provide information about the range of values, the degree of dispersion around the mean, and the degree to which the data deviates from a central value.
Some commonly used measures of variability include the range, variance, and standard deviation. The range is the difference between the highest and lowest values in the distribution. The variance is the average of the squared differences of each value from the mean, while the standard deviation is the square root of the variance. The interquartile range and the coefficient of variation are also examples of measures of variability.
In contrast, measures of central tendency (such as the mean, median, and mode) describe the center or typical value of a distribution, while measures of association (such as correlation coefficients) describe the strength and direction of the relationship between two variables.
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Explain how you would solve this problem, then solve it. (-4)³
Explanation:
We have to multiply -4 by itself 3 times: (-4)³ = (-4)x(-4)x(-4)
The first time we'll have a positive number, because the product of two negative numbers is a positive number:
\((-4)\times(-4)=4\times4=16\)Now we just have to solve 16x(-4). The result will be a negative number, because the product between a positive and a negative number is negative:
\(16\times(-4)=-(16\times4)=-64\)Answer:
(-4)³ = -64