will make brainliest! show work please!

Answer:

Can you please give us figure so that i can help you

Answer:

\( {3y}^{3} - 12y \\ = 3y( {y}^{2} - 4) \\ = 3y( {y}^{2} - {2}^{2} ) \\ = 3y(y - 2)(y + 2) \\ = 3y(y + 2)(y - 2)\)

a^2-b^2=(a+b)(a-b)

a=y b=2

3y(y+2)(y-2)

Approximately 4% of people are carriers of the cystic fibrosis allele in the United States, according to the Hardy-Weinberg equilibrium.

In the Hardy-Weinberg equilibrium, the frequency of alleles in a population is given by the equation p^2 + 2pq + q^2 = 1, where p and q are the frequencies of the two alleles. For a recessive disease like cystic fibrosis, q^2 represents the frequency of affected individuals, which is 1/2,500 or 0.0004.

Solving for q, we get:

q^2 = 0.0004

q = sqrt(0.0004) = 0.02

Since q represents the frequency of the recessive allele, the frequency of the dominant allele (p) is 1 - q = 0.98.

The frequency of carriers (heterozygous individuals) can be calculated as 2pq, which is approximately:

2pq = 2 * 0.98 * 0.02 = 0.0392

Multiplying by 100 to express the frequency as a percentage and rounding to the nearest whole number, we get:

Carrier frequency ≈ 4%

Therefore, according to the Hardy-Weinberg equilibrium, 4% of people in the US are carriers of the cystic fibrosis allele.

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The equation of the hyperbola is x²/79²-y²/504.71² = 1

A hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.

Given that, a hyperboloid is a 3d shape whose cross-sections are hyperbolas. We need to find the equation of the hyperbola,

Since, the hyperbola center is at origin, therefore,

The equation will be,

x²/a²-y²/b² = 1

The smallest diameter is 156 m,

Therefore,

2a = 156

a = 78

The diameter is at is 158.6 m at its highest point, 44 m above, therefore, the point, (79.3, 44) lie at the hyperbola,

Put the values in the main equation,

79.3²/79² - 44²/b² = 1

44²/b² = 79.3²/79² -1

44²/b² = 0.0076

b² = 44²/0.0076

b² = 254,736.842

Therefore, the equation will be;

x²/79²-y²/504.71² = 1

Hence, the equation of the hyperbola is x²/79²-y²/504.71² = 1

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this is so easy it's: 1015

your welcome

Answer:

Step-by-step explanation:

8. 7.5 Goes up by 2.5.

9. 7.3 Goes down by 2.1

10. 116/3

Answer:

8- 7.5

9-7.3

10-38 \(\frac{2}{3}\)

Step-by-step explanation:

Answer:

center of the circle is (5, -3) and radius of the circle is 8 units

Step-by-step explanation:

Find the center of the circle given by this equation:

x²-10x+y²+6y-30=0

for x

b= -10

for y

b=+6

complete the square

for x

(-10/2)² = 25

for y

(6/2)²=9

x²-10x+25

y²+6y+9

(x²-10x+25)+(y²+6y+9)+30=0+25+9

(x²-10x+25)+(y²+6y+9)=25+9+30

(x-5)²+(y+3)²=64

This is the form of a circle. Use this form to determine the center and radius of the circle

(x − h)² + (y − k)² = r²

Circle Equation

(x-a)² + (y−b) ² = r² is the circle equation with a radius r, centered at (a, b)

Rewrite x² - 10x + y² + 6y - 30 = 0 in the form of the standard circle equation

(x − h)² + (y − k)² = r²

(x - 5)² + (y-(-3))² = 8²

(x-5)² + (y+3)² = 8²

r=8

h=5

k=-3

signs of h and k are opposite of what they are inside the parenthesis

Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x- offset from the origin, and k represents the y-offset from origin.

r=8

h=5

k=-3

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expii

Brian McLogan

Alex Federspiel

Answer:

The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Step-by-step explanation:

The possible pathways are as follows:

(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Scenario 1: At least one ball is red.

In this scenario, we have four possible outcomes: RR (both red), RB (one red and one blue), BR (one red and one blue), and BB (both blue). Since we know that at least one ball is red, the outcome BB is not possible. Therefore, we only need to consider the outcomes RR, RB, and BR.

Out of the three possible outcomes, only one outcome is favorable (RR), where both balls are red. Hence, the probability that both balls are red, given that at least one is red, is 1/3.

Scenario 2: A ball is picked at random and it is painted red.

In this scenario, we assume that one ball has been randomly chosen and it is painted red. Now, we need to consider the two possible outcomes: RR (both red) and RB (one red and one blue).

Out of the two possible outcomes, one outcome is favorable (RR), where both balls are red. Hence, the probability that both balls are red, given that a ball is randomly picked and painted red, is 1/2.

To summarize:

The probability that both balls are red, given that at least one is red, is 1/3.

The probability that both balls are red, given that a ball is picked at random and it is painted red, is 1/2.

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The area for the larger triangle comprising of 9 small triangles is option B: 72 cm².

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

The formula for area of a triangle is given as -

Area = 1/2 × base × height

The base of the smaller triangle measures 4 cm.

The height of the smaller triangle measures 4 cm.

The area of smaller triangle is -

Area(s) = 1/2 × 4 × 4

Area(s) = 1/2 × 16

Area(s) = 8 cm²

The large triangle comprises of 9 small triangles.

The area of larger triangle will be -

Area(l) = 9 × Area of small triangles

Substitute the values in the equation -

Area(l) = 9 × Area(s)

Area(l) = 9 × 8

Area(l) = 72 cm²

Therefore, the area value is 72 cm².

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The statement is true. For a normally distributed variable, the probability between μ - σ and μ + σ is indeed 0.8. This result is a consequence of the properties of the standard normal distribution and its corresponding z-scores.

In a standard normal distribution, the mean (μ) is 0 and the standard deviation (σ) is 1. The interval between μ - σ and μ + σ covers one standard deviation on either side of the mean.

Using z-scores, we can calculate the probability of an interval under the standard normal curve. The interval between μ - σ and μ + σ corresponds to z-scores of -1 and +1. The cumulative probability from -∞ to -1 is 0.1587, and from -∞ to +1 is 0.8413. The difference between these two probabilities is 0.8413 - 0.1587 = 0.6826.

Since the standard normal distribution is symmetric, we can multiply this probability by 2 to account for both tails, resulting in 0.6826 * 2 = 1.3652. This represents the probability between μ - σ and μ + σ in a standard normal distribution.

However, when dealing with a normally distributed variable with a specific mean and standard deviation, we can use the properties of linear transformations to shift and scale the distribution accordingly. Therefore, the probability between μ - σ and μ + σ in a normally distributed variable is still 0.8, maintaining the same proportion as in the standard normal distribution.

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Answer:

Chris has 25 Marbles

Step-by-step explanation:

If Adam starts with 10, Bradley will have twice as many, meaning Bradley's amount is 20. Making the new total, 30 Marbles. Chris has 5 More Marbles than Bradley, making Chris have 25 Marbles. If you add the total's up, you get 55 Marbles in total.

Hope this helps!!

x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

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Rich will incur interest totaling $1,525.095 throughout the course of the 4.5-year non-payment period.

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Given that he is aware that he has the option to start loan payback in 4.5 years at the current interest rate of 4.29% on a $7,900 loan, the following will apply:

4.29% of 7900 after the first year

\(4.29/100*7900\)

=338.91

So, after the tenure of 4.5 years, to find total interest, the interest will be multiplied by 4.5:

=338.91*4.5

=1525.095

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Answer:

hi

Step-by-step explanation:

False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.

False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.

The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.

However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.

Therefore, increasing heat exchange area is not a direct advantage of lattice structures.

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The pass rate in the afternoon subgroup is greater than 1, we cannot draw a reliable conclusion without further investigation or clarification of the data.

To compare the probability that a student will pass the challenge in the morning with the probability that a student will pass the challenge in the afternoon, we need to calculate the proportion of students who passed in each subgroup.

The proportion of students who passed the challenge in the morning subgroup is:

Pass rate in the morning subgroup = Number of students who passed in the morning subgroup / Total number of students in the morning subgroup

Pass rate in the morning subgroup = 40 / 60

Pass rate in the morning subgroup = 0.67

The proportion of students who passed the challenge in the afternoon subgroup is:

Pass rate in the afternoon subgroup = Number of students who passed in the afternoon subgroup / Total number of students in the afternoon subgroup

Pass rate in the afternoon subgroup = 50 / 40

Pass rate in the afternoon subgroup = 1.25

that the pass rate in the afternoon subgroup is greater than 1, which is not possible as probabilities must be between 0 and 1. This implies that there might be a data error.

Assuming the data is correct, we can conclude that the probability of passing the challenge in the afternoon subgroup is higher than the probability of passing the challenge in the morning subgroup. However, since the pass rate in the afternoon subgroup is greater than 1, we cannot draw a reliable conclusion without further investigation or clarification of the data.

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1 / [π(a^2 + y^2)]  is the probability density function of the Cauchy distribution, which means that Y is a Cauchy random variable.

To show that Y is a Cauchy random variable, we need to show that it has the Cauchy distribution.
First, we note that X is uniformly distributed in the interval (-1, 1), which means that the probability density function of X is f(x) = 1/2 for -1 < x < 1, and 0 otherwise.
Next, we use the transformation method to find the probability density function of Y. Let u = a tan x, so that x = tan^{-1}(u/a). Then, by the chain rule of differentiation, we have
f_Y(y) = f_X(x) |dx/dy|
where f_X(x) is the probability density function of X, and dx/dy is the derivative of x with respect to y.
Taking the derivative of x = tan^{-1}(u/a) with respect to u, we get
dx/du = a / (a^2 + u^2)
Substituting this into the expression for f_Y(y), we get
f_Y(y) = f_X(tan^{-1}(y/a)) |a / (a^2 + y^2)|
= 1 / [π(a^2 + y^2)]
where we have used the identity tan(tan^{-1}(x)) = x.
This is the probability density function of the Cauchy distribution, which means that Y is a Cauchy random variable.

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Answer:

8y+6y=288

Step-by-step explanation:

8y+6y= 12y

12y=288

12y divide by 12 = 288 divided by 12 =

y=24

Answer: C

Step-by-step explanation:

y2 - y1/x2 - x1 = M

For example: Take the coordinates ( 3,1) and (4,5)
                       5-1 = 4

                       4-3 = 1          4/1 = 4

M=4

Answer:

To simplify the expression, you can start by using the distributive property of multiplication over addition/subtraction and then combine like terms.

1/3(3m+6) - 2(2m+6)

= 1/33m + 1/36 - 22m - 26 (distribute the multiplication)

= m + 2 - 4m - 12 (simplify by multiplying and adding the terms)

= -3m - 10 (combine like terms)

Therefore, 1/3(3m+6)-2(2m+6) simplifies to -3m - 10.

Answer:

8

Step-by-step explanation:

it goes up steeper

Answer:

3

Step-by-step explanation:

Because on a graph it is wider and less vertically stretch

Answer:

3 books or 3 and 1/5th

Step-by-step explanation:

The closest number downside divisible by 5 would be 15 or 20.

Divide 19 by 5 or divide 15 by 5.

-kiniwih426

Answer:

Answer is = 1

Step-by-step explanation:

Hope it's answered you

Answer:

nice

Step-by-step explanation:

Therefore, Hans walks 24500 meters in 7 days using equation.

To convert kilometers to meters, we use the conversion factor of 1 kilometer = 1000 meters.

Hans walks 3.5 km every day.

To find how far he walks in 7 days, we multiply the distance walked in one day (3.5 km) by the number of days (7):

3.5 km * 7 = 24.5 km

Since we want the answer in meters, we can convert the result to meters by multiplying by 1000:

24.5 km * 1000 = 24500 meters

Therefore, Hans walks a total of 24500 meters in 7 days.

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Answer:

The company should choose the prism because it has approximately 14.1 in.³ less wasted space than the cylinder.

Step-by-step explanation:

To determine which package has the least amount of wasted space, we need to compare the volumes of the cylinder and the square prism. The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height. In this case, the radius is 1.5 inches and the height is 6 inches, so the volume of the cylinder is V_cylinder = π(1.5)²(6) ≈ 42.4 in.³.

The volume of a square prism is given by V = l²h, where l is the length of the base and h is the height. In this case, the base lengths are 3 inches and the height is 6 inches, so the volume of the square prism is V_prism = (3)²(6) = 54 in.³.

To determine the wasted space, we subtract the volume of two balls (each with a volume of 4/3πr³) from the volume of each package. Since the radius of the balls is 1.5 inches, the volume of two balls is (4/3π(1.5)³) × 2 ≈ 14.1 in.³.

Comparing the wasted space, we find that the prism has approximately 14.1 in.³ less wasted space than the cylinder. Therefore, the company should choose the prism as it minimizes wasted space

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Answer:

Assume x to be the cost of labor per hour.

Then the equation which describes this is

5.5 x + 109 = 576.50

Solve for x to get

5.5 x = 467.5

x = 85

The cost of labor per hour is $85.

Step-by-step explanation:

Answer: 38.75 hours

Step-by-step explanation: so one thing real quick, you said “A painter worked 7 3/4 hours per hour” that’s not possible so instead I’m guessing you meant 7 3/4 hours per day.

Turn 7 3/4 hours into 7.75 hours then it’s simple, you multiply 7.75x5! You get 38.75 hours!

Answer:

38 3/4

Step-by-step explanation:

7 3/4 times 5 =

7 3/4 = 31/4

31/4 times 5 = 155/4

= 38 3/4

Answer:

I might be wrong but I think the answered would be 14

Step-by-step explanation:

5+5=10+3=13+1=14