Use the equation A = bh to calculate the height of a parallelogram with an area of 36 square inches and a base of 9 inches

Answer:To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.

To start divide it by each of them:

59859/2=29929.5

59859/3= 19953

59859/5= 11971.8

59859/9= 6651

59859/10= 5985.9

Now look at which of the choices are whole numbers

3 and 9 are the only non decimal numbers, therefore, C would be your answer.

Step-by-step explanation:

In a haplodiploid system, the relatedness of a son to a maternal aunt is 75%.

In a haplodiploid system, males develop from unfertilized eggs and are haploid, while females develop from fertilized eggs and are diploid. This means that sons inherit all of their genetic material from their mother, including her alleles from both her haploid sets of chromosomes. Maternal aunts, on the other hand, share one set of haploid chromosomes with their nephew (the son), as they are the sister of his mother. Therefore, the relatedness between a son and his maternal aunt in a haplodiploid system is 0.75 or 75%.

In a haplodiploid system, the relatedness of a son to a maternal aunt can be calculated using the following steps:

1. Determine the relatedness of the son to his mother: In haplodiploid systems, sons are haploid and inherit their single set of chromosomes from their mother. This means that they are 100% related to their mother, as they share all her genes.

2. Determine the relatedness of the maternal aunt to the son's mother: The maternal aunt is a sister of the son's mother. In haplodiploid systems, sisters share 75% of their genes, as they get half of their genes from their mother and the other half from their father (who, as a haploid male, gives all his genes to his daughters).

3. Calculate the relatedness of the son to his maternal aunt: To determine the relatedness of the son to his maternal aunt, multiply the son's relatedness to his mother (100%) by the maternal aunt's relatedness to the son's mother (75%).

Relatedness of son to maternal aunt = (1.0) * (0.75) = 0.75 or 75%

So, in a haplodiploid system, the relatedness of a son to a maternal aunt is 75%.

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The given function, after applying the series of transformations, results in the following equation:

y = -3 * f(3(x + 1)) - 2 * f(2(x - 2)) - 2 - 3 * f(x + 1) + 3 - 3 * |f(x + 2)| - 1 * |f(x)| / 2 - 3

The series of transformations can be summarized as follows:

(1) Compress horizontally by a factor of 3 and translate left 1 unit: f(3(x + 1)).

(2) Compress horizontally by a factor of 2 and translate right 2 units: f(2(x - 2)).

(3) Translate left 2 units and translate down 2 units: f(x + 1) - 2.

(4) Translate right 1 unit and translate up 3 units: -3 * f(x + 2) + 3.

(5) Expand vertically by a factor of 3 and reflect across the x-axis: -3 * |f(x + 2)|.

(6) Translate left 2 units and translate down 3 units: -3 * |f(x + 2)| - 1.

(7) Reflect across the x-axis and translate left 1 unit: -1 * |f(x)| / 2.

(8) Compress vertically by a factor of 2 and translate down 3 units: -1 * |f(x)| / 2 - 3.

The resulting equation combines all these transformations to describe the final function.

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Answer:

65

Step-by-step explanation:

arc TS = 360 - 90 - 150

Arc TS = 120

The central angle is also 120

x is 1/2 of the central angle

x = 1/2 * 120

x = 60

Answer:wach the vido

Step-by-step explanation:

We cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.

justify your answer," we need to first understand what a k-to-1 correspondence is.

A k-to-1 correspondence is a function in which each element in the range has exactly k preimages. In other words, if the function f maps elements from set A to set B, then for each element b in set B, there are exactly k elements in set A that map to b.

In this case, we need to determine if the function f is a k-to-1 correspondence for some positive integer k.Now, let's justify our answer. Since we do not have the function f, we cannot determine whether it is a k-to-1 correspondence or not. Therefore, we cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.

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\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

If two angles are complementary, sum of their angle measures should be equal to 90°

So, here Angle W and Angle X are complementary angles, that is : Angle W + Angle X =90°

\(\qquad \sf  \dashrightarrow \: \angle W + \angle X = 90 \degree\)

\(\qquad \sf  \dashrightarrow \: \angle W = 90 \degree - \angle X \)

\(\qquad \sf  \dashrightarrow \: \angle W = 90 \degree - 45.3 \degree\)

\(\qquad \sf  \dashrightarrow \: \angle W = 44.7 \degree\)

Thats all, i hope it was helpful ~

Answer:

--------------------------

The normal component of the acceleration vector (a_n) is a_n = √(|a(t)|^2 - a_t^2).

To find the tangential and normal components of the acceleration vector for the given position vector r(t) = 7e^t*i + 7√2^t*j + 7e^(-t)*k, follow these steps:

1. Differentiate the position vector r(t) to find the velocity vector v(t):

v(t) = dr(t)/dt = (7e^t)*i + (7√2^t * ln(√2))*j - (7e^(-t))*k

2. Differentiate the velocity vector v(t) to find the acceleration vector a(t):

a(t) = dv(t)/dt = (7e^t)*i + (7√2^t * ln^2(√2))*j + (7e^(-t))*k

3. Calculate the magnitude of the velocity vector |v(t)|:

|v(t)| = √((7e^t)^2 + (7√2^t * ln(√2))^2 + (7e^(-t))^2)

4. Find the tangential component of the acceleration vector (a_t):

a_t = (a(t) • v(t)) / |v(t)|

Here, '•' denotes the dot product.

5. Find the normal component of the acceleration vector (a_n):

a_n = √(|a(t)|^2 - a_t^2)

By following these steps, you can find the tangential and normal components of the acceleration vector for the given position vector r(t).

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Michelle owns about 6.25% of the total investment.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Michelle invests $15,000 in a partnership that has four other partners. The total investment of all partners is $240,000.

The percentage of investment will be calculated as below:-

Percentage = ( 15000 / 240000 ) x 100 %

Percentage = 00625 x 100%

Percentage = 6.25%

Therefore, Michelle owns about 6.25% of the total investment.

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Answer:

Step-by-step explanation:

(x-2)/2 = -3

x - 2 = -6

x = -4

(y + 2)/2 =4

y + 2 =8

y = 6

(-4, 6)

The equations test observation (4, 4) belongs to class 1.

To assign a class to the test observation (4, 4),  to evaluate the equations of the support vector classifiers (SVCs) and determine which one(s) the observation satisfies.

Let's go through each SVC and check if the observation lies on the positive side or the negative side of the decision boundary.

SVC for class 1(+) vs 2(-): 2x + 3y = 0

Substituting the values of x = 4 and y = 4

2(4) + 3(4) = 8 + 12 = 20

Since 20 is positive, the test observation (4, 4) lies on the positive side of this decision boundary.

SVC for class 1(+) vs 3(-): 3x + 2y = 0

Substituting the values of x = 4 and y = 4

3(4) + 2(4) = 12 + 8 = 20

Again, 20 is positive, so the test observation (4, 4) also lies on the positive side of this decision boundary.

SVC for class 2(+) vs 3(-): x + y = 0

Substituting the values of x = 4 and y = 4

4 + 4 = 8

Since 8 is positive, the test observation (4, 4) lies on the positive side of this decision boundary as well.

Based on these results, the test observation (4, 4) satisfies all three decision boundaries and lies on the positive side of each. Therefore,  assign it to class 1, which is the common positive class across all three classifiers.

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Answer:

\(\frac{11}{25}\)

Step-by-step explanation:

Answer:

11/25 the lowest this fraction can go.

To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

An equation is an expression that shows the relationship between two or more variables and numbers.

Revenue = number of tickets sold * price per ticket = (400 - 8p)p

Revenue = 400p - 8p²

For no revenue:

400p - 64p² =  0

p = $0 or p = $50

For revenue of atleast 3200:

400p - 8p² =  3200

p = $10 or p = $40

To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

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Answer:

8x2 to the second power plus 8.

Step-by-step explanation:

not my answer but I hope this helps

40 = 49 - 9

49 is equal to 7×7, or 7². 9 is equal to 3×3, or 3².

we can write this as \(7^{2}\) - \(3^{2}\)

Another way:

(10 - 3\()^{2}\) - \(\sqrt{81}\)

Answer:

it's 42 only that's it...............

The sugar concentration would be approximately 62.5%.

To find the concentration of sugar in the solution, we need to use the formula:

In this case, the solute is sugar and the solvent is water. We are given that the mass of sugar is 50 grams and the mass of water is 30 grams. However, we need to convert the mass of water to volume since we need the volume of the entire solution to calculate the concentration.

We can assume that the density of water is 1 g/mL, so the volume of water is 30 mL. The total volume of the solution is therefore 50 mL + 30 mL = 80 mL.

Now we can use the formula to find the concentration of sugar:

So the concentration of sugar in the solution is approximately 0.625 grams per milliliter.

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Answer:

115, A

Step-by-step explanation:

The formula to find the total interior angles is   ([number of sides] - 2) x 180, so in this case it would be  540, and     if you subtract all the other interior angles you wi ll get y! (90,135,112,and  88)    (please excuse therandom spaces my spacebar isbroken)

The value of y from the figure is 115 degrees

The given polygon is a pentagon

The sum of an interior angle of the pentagon is 540 degrees

Taking the sum and equating to 540 will give:

90 + 135 + 112 + y + 88 = 540

y + 425 = 540

y = 540 - 425

y = 115 degres

Hence the value of y from the figure is 115 degrees

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1) This is a question in which we need to evaluate x when x=6.

2) So, we can plug x=6 into that rational equation to figure out the value:

So, that is the answer

One year on Venus is 225 days on Earth.

Multiply that by 9 1/2.
The answer you get is 2137.5

9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.

There are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Equivalent to 9 1/2 years on venus.

Let the number of days on earth is x:

One year on Venus is 225 days on Earth.

= (225)(9 1/2)

= (225x19)/2

= 2137.5 days

Thus, there are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

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Answer:

x=-5, y=-2

Step-by-step explanation:

10x-9y=-32

2x-10y=10

(2x-10y)*5=10*5

10x-50y=50

(10x-9y)-(10x-50y)=-32-50

41y=-82

y=-82/2

y=-2

10x-9(-2)=-32

10x+18=-32

10x=-50

x=-5

Answer:

Step-by-step explanation:

Please be sure to include the directions when you post a question.  I will assume you want to graph this inequality 2x - y ≤ 5.  

2x - y = 5 is a linear function whose graph is that of a straight line.  Because of the ≤ sign, the solution set includes all points on this straight line PLUS all  points below it.

x - intercept:  Set y = 0 in 2x - y = 5 and solve the resulting equation for x:

2x - 0 = 5.  Then x = 5/2, and the x-intercept is (5/2, 0).

y-intercept:  Set x = 0 and solve for y:  2(0) - y = 5:  y = -5.  Then the y-intercept is (0, -5).  

Plot both points (5/2, 0) and (0, -5).  Draw a solid line through them.  Shade the area BELOW this line.

Answer:

x=20 the angles are 80 and 100

Step-by-step explanation:

those types of angels are supplementary, so we can set up an equation like this: 5x+4x=180

We'll get x=20, then we can put 20 into each angle to find out its measure:)

5(20)=100

4(20)=80

The power of the test by subtracting this probability from 1: Power = 0.9285. None of the given options are correct.

To find the power of the test, we need to calculate the probability of rejecting the null hypothesis when the alternative hypothesis is true (i.e., when μ = 4.5).

First, we need to calculate the critical value for the test. Since the alternative hypothesis is one-tailed (μ<5), we will use a one-tailed t-test with α = 0.05. The degrees of freedom for the test are (n-1) = 35.

Using a t-distribution table or calculator, we can find that the critical t-value for this test is -1.699.

Next, we need to calculate the test statistic for the alternative hypothesis:

t = (\(\bar{x}\) - μ) / (s / √(n))
t = (4.67 - 4.5) / (1.2 / √(36))
t = 1.5

Now, we can use a t-distribution table or calculator to find the probability of getting a t-value greater than or equal to 1.5 with 35 degrees of freedom:

P(t ≥ 1.5) = 0.0715

Finally, we can find the power of the test by subtracting this probability from 1:

Power = 1 - P(t ≥ 1.5) = 1 - 0.0715 = 0.9285

Therefore, the answer is not provided in the options.

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The equation 4^(-2) = 1/16 is true by using the laws of exponents

The expression is given as:

4^(-2)

Apply the law of exponent on the above expression.

So, we have:

4^(-2) = 1/(4^2)

Evaluate the exponent 4^2 (i.e. 4^2 = 16)

So, we have:

4^(-2) = 1/16

Hence, the equation 4^(-2) = 1/16 is true by using the laws of exponents

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Step-by-step explanation:

MUN={1,2,3,4,6,8}

M intersection N={1,2}

hope it helps.

Step-by-step explanation:

M intersection N = { 1 , 2 }

hope it is helpful to you