please help
A flower bed is in the shape of a triangle, with a base of 15 feet and a height of 9 feet. What is the area of the flower bed?

24 square feet
32.5 square feet
67.5 square feet
135 square feet

The exact value of cos I in simplest radical form is 5 /√29

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The exact value of cos I in simplest radical form can be found by using trigonometric ratios.

cos I = adjacent / hypotenuse

The opposite is where the angle I is facing. That is opposite = 2

The hypotenuse is where the right angle is facing. That is hypotenuse = √29

The adjacent is the side left after picking opposite and hypotenuse. That is adjacent = 5

cos I = 5 /√29

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Option C represents a modified Hardy-Weinberg equation that incorporates the effects of natural selection on a population. The equation is given as:

$(p-3s)^2 + 2(p-s)q + q^2 = 1$

In this equation, various terms are included to express the impact of natural selection. Let's break down the equation and understand its components.

$p$ represents the frequency of the dominant allele in the population, while $q$ represents the frequency of the recessive allele. These frequencies are determined based on the initial allele frequencies in the population.

The term $(p-3s)^2$ represents the expected frequency of the homozygous dominant genotype in the next generation. The factor $3s$ denotes the selection coefficient, where $s$ represents the frequency of homozygous recessive individuals who do not survive due to natural selection. By subtracting $3s$ from $p$, we account for the reduction in the frequency of the dominant allele due to selection.

The term $2(p-s)q$ represents the expected frequency of the heterozygous genotype in the next generation. This term incorporates both the initial frequency of the heterozygous individuals, represented by $(p-s)$, as well as the transmission of alleles through reproduction, given by $q$. The factor of 2 accounts for the two possible combinations of alleles in the heterozygous genotype.

Finally, $q^2$ represents the expected frequency of the homozygous recessive genotype in the next generation. This term considers the transmission of the recessive allele, represented by $q$, and its squared value accounts for the homozygous recessive genotype.

The equation is set equal to 1, as the frequencies of all genotypes should sum to 1 in a population.

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Answer:

use graphs

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

The formula for the arithmetic sequence if the sum of the same sequence is given by Sn = 2n+3n is an = 10 - a1

The formula for an arithmetic sequence is given by:
an = a1 + (n - 1)d
Where an is the nth term of the sequence, a1 is the first term, n is the number of terms, and d is the common difference.

If the sum of the same sequence is given by Sn = 2n + 3n, then we can use the formula for the sum of an arithmetic sequence to find the formula for the sequence itself.

The formula for the sum of an arithmetic sequence is given by:
Sn = n(a1 + an)/2

Substituting the given formula for Sn into this equation, we get:
2n + 3n = n(a1 + an)/2

Solving for an, we get:
an = (4n + 6n)/n - a1
an = 10 - a1

Therefore, the formula for the arithmetic sequence is:
an = 10 - a1

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The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.

In the problem, the data given as,

Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

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Answer:

Answer:

312 in^2

Step-by-step explanation:

Yet again, not the best way but let's add up all the sides...

2(24+96+36) = 2(156) = 312 in^2

Hope this helped!

Answer:

4608

Step-by-step explanation:

4x4x4x6x12

Answer:

E

Step-by-step explanation:

The first quadrant is the top-right one

If a point is in the first quadrant, the x- and y-values of the point are both positive

Let's go through the one by one.

A) Translating the quadrilateral right 4 units will make the new S to be \((-3+4, -7)=(1, -7)\), which is not in the first quadrant.

B) Reflection the quadrilateral across \(x=4\) will not change the y-value of any points. So, the new S will stay below the x-axis, and thus will never be in the first quadrant, because it will always have a negative y-value.

C) This one is tricky. We can prove(the proof is just taking cases of which quadrant) that if a point is in the second or fourth quadrant, it's reflection across the line \(y=-x\) will always be in the same quadrant it started in(i.e. reflect a point in the second quadrant, you get a point in the second quadrant). We know that P is in the second quadrant, so the new P will also be in the second quadrant. Therefore, the new quadrilateral will not be entirely in the first quadrant.

D) We intuitively(and can prove) that because R is right underneath Q, the new R will be directly to the left of Q, with the same distance as Q to original R. So, the new R will be \((-10, 12)\) using above method. This point is not in the first quadrant.

E) We know intuitively(and can prove) that a reflection across the line \(x=3\) will make the entire quadrilateral in the first and fourth quadrant. However, When we translate up, the new S, the lowest point on the quadrilateral, will be above the x-axis, making all the points in the first quadrant! Therefore, E works.

F) When we reflect across the x-axis, any points in the second quadrant go to the third quadrant. So, the new P will be in the third quadrant. However, when we translate up 13 units, the new P will go to the second quadrant. It will never cross the y-axis, and will always have a negative x-coordinate. Therefore, P will not be in the first quadrant.

Summing up the cases that work, we get that \(\boxed{E}\) is the only answer.

The transformations of quadrilateral PQRS which would result in the image of the quadrilateral being located only in the first quadrant of the coordinate plane is:

This refers to the axis of a two dimensional Cartesian system which is one side out of four quarters of a circle or given shape.

From the given image, we can see that the first quadrant is at the top.

With this, we can see that the transformation which would make the quadrilateral PQRS to be in the first quadrant is a reflection across x=3, then a translation up 8 units.

This is because when we translate up, then we can see that the x-y values of the point are positive and which would make the translation up 8 points.

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Answer:

p - 7 = 42

Step-by-step explanation:

"Less than" might make you think of the  <  sign, but that's a mistake.  The expression  7 < p = 42  makes no sense!  In fact, that would say, "7 is less than p and p = 42."

To find 7 less than a number, you subtract 7 from the number.  You start with the number, then subtract 7.

p - 7 = 42

Answer:

11

Step-by-step explanation:

3x - 7 = 26

     +7    +7

3x/3 = 33/3

33/3 =  11

Answer

-23 x - 7 = 0 (note: this is an alternate answer)

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

Angles "50" and "x+55" are alternate interior angles which means that they are the same.

So 50 = x + 55

That leaves you with x = -5

The percentage is 75%, the amount is 45 and the base is 60 so option (D) will be correct.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Given that 45 is some percentage of 60

So, 60 will be the base because we are calculating the percentage of it and the amount will be 45.

Let's say 45 is x percentage of 60

Then,

60 × x/100 = 45

x = 4500/60

x = 75%

Percentage will be 75

Hence "The percentage is 75%, the amount is 45 and the base is 60".

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none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Answer:

15x = 75

x = 5

Step-by-step explanation:

15x - 10 = 65

15x = 65 + 10

15x = 75

x = 75/15

x = 5

PLEASE RATE!! I hope this helps!!

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Answer:

h = -8

Step-by-step explanation:

-2(3 + 7h) + 2 = 108

-2 * 3 + -2 * 7h + 2 = 108

combine like terms

-6 - 14h + 2 = 108

-4 - 14h = 108

add 4 to both sides of the equation

-4 + 4 - 14h = 108 + 4

-14h = 108 + 4

-14h = 112

divide both sides of the equation by -14

-14h/-14 = 112/-14

h = 112/-14

h = -8

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

square root of 75, using Pythagorean theorem.

Step-by-step explanation:

Answer:84

Step-by-step explanation:

the answer to the 152 + (-53) + (-15) is 84

Answer:

I think it's 19/4 because I looked it up and that's what it said

Answer:

2b: -29 - 13x - 6n

3a: -6

3b: m = 1

In computer programming, variables are used to store and manipulate data. In this case, an int variable named strawsoncamel has been declared and assigned a value.

To increase the value of strawsoncamel by 1, you can use the increment operator (++). This operator adds 1 to the current value of the variable and assigns the result back to the variable.

For example, if strawsoncamel has a value of 5, the statement strawsoncamel++; would increase its value to 6. This can be useful in many scenarios, such as counting or iterating through a loop. It's important to note that the increment operator can also be used in other ways, such as ++strawsoncamel, which increments the value of the variable before it is used in an expression.

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To increase the value of the variable strawsoncamel by 1, you can use the increment operator "++". So the statement would be:
strawsoncamel++;

This will increment the value of strawsoncamel by 1. The increment operator is an example of an operator in programming, which performs a specific operation on a variable. In this case, it increases the value of the variable by 1, which is also known as an increment.
To increase the value of the integer variable `strawsoncamel` by 1 using the increment operator, follow this step:
Write the statement: `strawsoncamel++;`
This line of code will use the increment operator (`++`) to increase the value of the variable `strawsoncamel` by 1.

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Answer:

1:6

Step-by-step explanation:

Given that there are 10 circles and 2 triangles, the total number of shapes is equal to 10+2.

10+2=12

Because there are 2 triangles, the ratio of triangles to total shapes is equal to 2:12.

However, this ratio can be simplified because both sides are multiples of 2. Divide both sides of the ratio by 2 to simplify the ratio.

2:12

1:6

Therefore, the simplest ratio of triangles to total shapes is 1:6.

I hope this helps!

The number of ways that are there for Felicity to make her selection based on the combination of the twin bars is 103 ways.

From the complete information, the combination for a twin bar is 13, 2 twin bars can be in 31 places.

3 twin bars of chocolate will be 30 and 4 twin bars will be 29. Therefore, the number of ways will be:

= 13 + 31 + 30 + 29

= 103 ways

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Answer:

0.6 centimeter

Step-by-step explanation:

The picture below should help you see the tenth place, or where we are rounding to! Since, the number after the tenth place is above 4, we are going to round the tenth place up :)

0.5835 cen. → 0.6 cen.

Hope this Helps! :)

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-SGO

The conditional probability distribution of x given y = 5 is (3x + 10)/23.To find the value of K, we need to ensure that the joint probability distribution function satisfies the condition of total probability,

which states that the sum of all probabilities over the entire sample space should be equal to 1.

Given that the joint probability distribution function is:

f(x, y) = (3x + 2y)/5 for x = -2, 3 and y = 1, 5

a. Find the value of K:

To find the value of K, we substitute the given values of x and y into the joint probability distribution function and sum the probabilities over all possible values of x and y:

K = f(-2, 1) + f(-2, 5) + f(3, 1) + f(3, 5)

K = [(3(-2) + 2(1))/5] + [(3(-2) + 2(5))/5] + [(3(3) + 2(1))/5] + [(3(3) + 2(5))/5]

K = (-6 + 2)/5 + (-6 + 10)/5 + (9 + 2)/5 + (9 + 10)/5

K = -4/5 + 4/5 + 11/5 + 19/5

K = 30/5

K = 6

Therefore, the value of K is 6.

b. Find the marginal function of x:

To find the marginal function of x, we sum the joint probabilities over all possible values of y for each value of x:

f(x) = f(x, 1) + f(x, 5)

Substituting the given joint probability distribution function:

f(x) = [(3x + 2(1))/5] + [(3x + 2(5))/5]

f(x) = (3x + 2)/5 + (3x + 10)/5

f(x) = (6x + 12)/5

Therefore, the marginal function of x is (6x + 12)/5.

c. Find the marginal function of y:

To find the marginal function of y, we sum the joint probabilities over all possible values of x for each value of y:

f(y) = f(-2, y) + f(3, y)

Substituting the given joint probability distribution function:

f(y) = [(3(-2) + 2y)/5] + [(3(3) + 2y)/5]

f(y) = (-6 + 2y)/5 + (9 + 2y)/5

f(y) = (2y - 6)/5 + (2y + 9)/5

f(y) = (4y + 3)/5

Therefore, the marginal function of y is (4y + 3)/5.

d. Find f(x|y = 5):

To find f(x|y = 5), we need to calculate the conditional probability of x given that y = 5. Using the joint probability distribution function, we can find the probabilities of x for y = 5:

f(x|y = 5) = f(x, 5)/f(y = 5)

f(x|y = 5) = [(3x + 2(5))/5] / [(4(5) + 3)/5]

f(x|y = 5) = (3x + 10)/23

Therefore, the conditional probability distribution of x given y = 5 is (3x + 10)/23.

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Answer:

\(\frac{7}{12}\)

Step-by-step explanation:

Probabilities

When rolling a dice twice, we can get 36 different combinations of the numbers, starting from (1,1),(1,2),(1,3),... up to (6,4),(6,5),(6,6).

From those combinations, only those where the second number rolled is not less than the first number are favorable outcomes.

Thus, the favorable outcomes are:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,2),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6),

(4,4),(4,5),(4,6),(5,5),(5,6),(6,6)}

The total number of favorable outcomes is: 21. Thus the required probability is:

p=\frac{21}{36}=\frac{7}{12}

Answer: \(\frac{7}{12}\)