evaluate the expression if a=3/4, b=-8, c=-2, and d=3

Answer:

8 shirts

Step-by-step explanation:

The value of m that satisfies the equation \(sin^{2}(32) + cos^{2}(m) = 1\) is approximately 32 degrees.

According to the trigonometric identity \(sin^{2}(x) + cos^{2}(x) = 1\), for any angle x, the sum of the squares of the sine and cosine of that angle is always equal to 1.

In the given equation \(sin^{2}(32) + cos^{2}(m) = 1\), we can see that \(sin^{2}(32)\) represents the square of the sine of angle 32, which is approximately 0.5299.

Therefore, the equation simplifies to:

0.5299 + \(cos^{2}(m)\) = 1

Subtracting 0.5299 from both sides, we have:

\(cos^{2}(m)\)= 1 - 0.5299

\(cos^{2}(m)\) = 0.4701

Taking the square root of both sides, we get:

cos(m) = √0.4701

Now, taking the inverse cosine (\(cos^{-1}\)) of both sides, we find:

m = \(cos^{-1}\)(√0.4701)

Evaluating the inverse cosine, we get:

m ≈ 32°

Therefore, the value of m that satisfies the equation sin^2(32) + cos^2(m) = 1 is approximately 32 degrees.

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Answer:

41.9 cubic feet

Step-by-step explanation:

V = 1/3πr^2h,

r=radius

h=height.

V = 1/3πr^2h

  = 1/3π4^2 * 2.5

  = 40π/3 cubic feet

so the answer would be 41.9 cubic feet

Answer to the nearest tenth is 6.3

When looking at sides AC and CB, the included angle is angle ABC. The included angle is the angle between two given sides. In this particular question, we are given the sides AC and CB.

Here, we have a triangle ABC, and we are interested in the angle between sides AC and CB. This angle is opposite to the side AB. Therefore, this included angle is angle ABC. We can summarize this as follows: When we have two sides of a triangle, we can determine the included angle by finding the angle that lies between them. In the case of sides AC and CB, the included angle is the angle that is opposite to the third side of the triangle, AB.

Therefore, the included angle in this case is angle ABC.

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(Question is incomplete i answered what is included angle)

Answer:

3.67 hours

Step-by-step explanation:

Speed is the ratio of distance to time, it is given by the formula:

Speed = Distance / time

For annike her average speed was 11 miles per hour and she started at  7 am.

At 8 am (time = 1 hr i.e 7 am to 8 am) the distance she would have covered is given as:

11 miles/hr = distance / 1 hr

Distance = 11 miles per hr × 1 hr = 11 miles

After 8 am, the distance traveled at time t is:

11 = distance/t

distance = 11t

Total distance = 11t + 11

For Celia she started at 8 am at 14 miles per hour, at time t, the distance traveled is:

14 = distance/t

Distance = 14t  

Given that both bikers traveled the same distance, hence:

14t = 11t + 11

3t = 11

t = 11/3

t = 3.67 hours

Answer:

A= 115 degrees.

B= 45 degrees.

C= 115 degrees.

D= 115 degrees.

E= 110 degrees.

Tip: Angles opposite each other- like C and D- are going to be equal.

Step-by-step explanation:

The expected duration of the activity is less than 31 days but greater than or equal to 29 days (option A).

To determine the expected duration of an activity with an optimistic time estimate of 25 days, a most likely estimate of 29 days, and a pessimistic estimate of 34 days, you can use the PERT (Program Evaluation and Review Technique) formula. The PERT formula is:

Expected Duration = (Optimistic Time + 4 * Most Likely Time + Pessimistic Time) / 6

Following the formula, you can calculate the expected duration:

Expected Duration = (25 + 4 * 29 + 34) / 6
Expected Duration = (25 + 116 + 34) / 6
Expected Duration = 175 / 6
Expected Duration ≈ 29.17 days

So the expected duration of the activity is less than 31 days but greater than or equal to 29 days (option A).

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Answer:

(x + 13, y + 7)

Step-by-step explanation:

Hello there!

In order to find what the translation rule is, we need to find how much it move to the right/left and up/down

In this case, the line segment VW moved up 7 and to the right by 13

We can get this by checking how far apart the points are

I checked how far apart V and V prime

(V prime is the green V. When a point is primed, its just saying that the point has gone through translation, rotation, dilation, or reflection)

V is 13 units to the left of V prime and 7 units below V prime

This means that, to go from line VW to line V prime W prime, you need to shift the line up 7 units and to the right 13 units

So, the translation rule is (x + 13, y + 7)

*If you don't understand, tell me in the comments, I will try to explain further to your understanding. Thank you, and have a great rest of your day :)*

Answer:

$0.10 (nearest cent)

10.5¢

Step-by-step explanation:

Given:

To find the approximate unit price per ounce, divide the cost of the can by the number of ounces in the can:

\(\implies \dfrac{0.89}{8.5}=0.104705882...\)

Therefore, the approximate unit price per ounce is $0.10 (nearest cent) or 10.5¢ (nearest half cent).

Therefore, the dimensions of the kennel are 3.5 feet by 9 feet.

In mathematics, area is a measure of the amount of space inside a two-dimensional shape, such as a rectangle, circle, triangle, or polygon. It is expressed in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²). Knowing the area of a shape can be useful in many real-world situations, such as calculating the amount of paint needed to cover a wall, determining the size of a piece of land, or estimating the amount of material needed for a construction project.

Here,

Let the length of the kennel be L and the width be W. Since we are using 25 feet of fence material, the total length of fencing we need is:

2L + W = 25 - 9 = 16

We also know that one side of the kennel is 9 feet long, so we can substitute W = 9 into the equation above to get:

2L + 9 = 16

Subtracting 9 from both sides gives:

2L = 7

Dividing by 2 gives:

L = 3.5

So the length of the kennel is 3.5 feet and the width is 16 - 2(3.5) = 9 feet.

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The vector sum \(\mathbf{u}+\mathbf{v}\)  is approximately equal to \(3.9\left < \cos 26^{\circ},,\sin 26^{\circ}\right > , 3.9⟨cos26∘, sin26∘⟩\) in magnitude and direction form.

To find the sum of two vectors, we add their corresponding components. In this case, \(\mathbf{u}+\mathbf{v} = 7\left < \cos 0^{\circ},,\sin 0^{\circ}\right > + 4\left < \cos 135^{\circ},,\sin 135^{\circ}\right >\). Evaluating the x- and y-components separately, we get:

\(\mathbf{u}+\mathbf{v} = (7\cos 0^{\circ} + 4\cos 135^{\circ}),\mathbf{i} + (7\sin 0^{\circ} + 4\sin 135^{\circ}),\mathbf{j}\)

\(\mathbf{u}+\mathbf{v} = 3.9,\left < \cos 26^{\circ},,\sin 26^{\circ}\right >\)

To write the answer in magnitude and direction form, we can use the ormula \(\left|\mathbf{u}+\mathbf{v}\right| = \sqrt{(u_1+v_1)^2 + (u_2+v_2)^2}\) for the magnitude, and \(\theta = \tan^{-1}\left(\frac{u_2+v_2}{u_1+v_1}\right)\) for the direction. Plugging in the values, we get:

\(\left|\mathbf{u}+\mathbf{v}\right| \approx 3.9\theta \approx 26^{\circ}\)

Therefore, the vector sum \(\mathbf{u}+\mathbf{v} is approximately equal to 3.9\left < \cos 26^{\circ},,\sin 26^{\circ}\right > , 3.9⟨cos26∘, sin26∘⟩\) in magnitude and direction form.

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Answer:

Step-by-step explanation:

9/n = 3/4                    Cross Multiply

3n = 36                      Divide by 3

n = 36/3

n = 12

f(j(a)) make sense in the context.

f(s) represents the perimeter of the pentagon (in cm) whose side length is s cm. (Given)      (1)

g(p) represents the side length (in cm) of a regular pentagon whose perimeter is p cm. (Given)                  (2)

h(s) represents the area (in cm​​​​​2) of s regular pentagon whose side length is s cm. (Given)              (3)

j(a) represents the side length (in cm) of a regular pentagon whose area is a cm​​​​​2. (Given)               (4)

a. Perimeter = 133 cm      (given)

Side length of the regular pentagon whose perimeter is 133 cm=g(133)        (using 2)      (5)

Area of the regular pentagon whose side length is g(133)=h{g(133)}          (using 3)

b. Area = 6.38 cm​​​​​2       (given)

Side length of the regular pentagon whose area is 6.38 cm​​​​​2=j(6.38)        (using 4)

Perimeter of the regular pentagon whose side length is j(6.38)=f{j(6.38)}        (using 1)

Hence the answer is f(j(a)) make sense in the context.

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Answer:

12x

Step-by-step explanation:

4 = 2 * 2 = 2²

12x = 2 * 2 * 3 * x = 2² *3 *x

LCD = 2² * 3 * x = 4*3*x = 12x

Only a and c represent function

How is a sequence defined?

In mathematics, a sequence is a list of items that is in order (or events). It has members and is similar to a set (also called elements, or terms). The number of ordered elements determines the length of the sequence (potentially infinite).

a. The sequence 2, 4, 6, 8, 10, ... represents a function. The domain of the function is the set of natural numbers, and the range is the set of even natural numbers. We can create a mapping by using the rule "multiply by 2" to match each input value of the domain with its corresponding output value in the range. For example, 2 maps to 4, 4 maps to 8, 6 maps to 12, and so on.

b. The sequence 1, 0, 1, 0, 1, ... does not represent a function. The reason is that for any given input value, the output value is not unique. For example, the input value of 1 maps to both 1 and 0, which means that the function is not well-defined.

c. The sequence 0, 5, 10, 15, 20, ... represents a function. The domain of the function is the set of natural numbers, and the range is the set of multiples of 5. We can create a mapping by using the rule "multiply by 5" to match each input value of the domain with its corresponding output value in the range. For example, 0 maps to 0, 1 maps to 5, 2 maps to 10, and so on.

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There are 330 ways the coach can select a batting order of seven players from an 11 person team.

To determine the number of ways the coach can select a batting order of seven players from an 11 person team, we can use the combination formula, which is given by:

nCr = n! / r!(n-r)!

where n is the total number of players on the team, and r is the number of players in the batting order. In this case, n = 11 and r = 7.

So, the number of ways the coach can select a batting order of seven players from an 11 person team can be calculated as follows:

11C₇ = 11! / (7!(11-7)!)

= (11 x 10 x 9 x 8) / (4 x 3 x 2 x 1)

= 330

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Answer:

25 or 26

Step-by-step explanation:

add 9 plus 16

so it is 16

Answer:

15

Step-by-step explanation:

9514 1404 393

Answer:

  x ∈ (-∞, 9) U (-1, ∞)

Step-by-step explanation:

Get the absolute value by itself. Do that by multiplying by 4.

  |3x +15| > 12

This resolves to two cases:

3x +15 > 12

  x +5 > 4 . . . . divide by 3

  x > -1 . . . . . . .subtract 5

-(3x +15) > 12

  x +5 < -4 . . . . divide by -3

  x < -9 . . . . . . . subtract 5

Then the solution in interval notation is ...

  x ∈ (-∞, 9) U (-1, ∞)

If you graph the point

(1,1)

and

(2,-1)

you see this. Shown below:

The score that falls exactly in the middle of the distribution of scores after they have been ranked from highest to lowest is known as the median.

The median is a measure of central tendency that is calculated by arranging the data points in order from smallest to largest and then identifying the middle value.Therefore, it is the value that separates the highest from the lowest 50% of the data, making it an ideal measurement for skewed data.

The median is the value that is halfway between the upper and lower quartiles of a dataset when it is divided into four equal parts. This measurement is less sensitive to outliers and extreme values in comparison to the mean.

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The permutation combination is 120 for 3 different topping pizzas are available.

Permutation Combination:

A variety of ways to select objects from a set, usually forming a subset without replacement. The selection of this subset is called a permutation if the order of selection is a factor, and a combination if the order is not a factor. The French mathematicians Blaise Pascal and Pierre de Fermat, in the 17th century, used many chances in his game of combinatorics and probability by considering the ratio of the number of required subsets to the number of all possible subsets stimulated the development of the theory.

The concepts of permutations and combinations and their differences can be illustrated by examining all the different ways of selecting pairs of objects from five identifiable objects such as the letters A, B, C, D and E.

According to the Question:

Given that :

Number of different toppings = 10

Number of Pizzas = 03

therefore,

The permutation  combination are :

                = 10!/7! 3!

                = 15 × 8

                = 120.

Therefore, there are 120 different combinations of toppings.

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Firstly, the function is shifted 5 units down because of the -5 at the end of the function. OPTION G

It is also translated 8 units to the left because +8 is added to x. OPTION D

The function is also vertically compressed. OPTION B

The graph will be depicted below:

The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

Answer:

24

Step-by-step explanation:

The range is the biggest number subtracted by the smallest number.

45-21=24

I hope this helped <3

The required equation of the line is represented by x + 2y = 10 in standard form.

A linear equation is written in the standard form as Ax + By = C, where A, B, and C are integers and x and y are variables.

The equation is given in the question

⇒ y = 5 - 1/2 x

We have to determine the standard form of the given linear equation

⇒ y = 5 - 1/2 x

⇒ 1/2 x + y = 5

Multiply by 2 into both sides of the above equation,

⇒ 2(1/2 x + y) = 2(5)

⇒ x + 2y = 10

Therefore, the required equation of the line is represented by x + 2y = 10 in standard form.

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Answer:

f(x) = 1750 x 0.88^x

It will be worth $629.36 in 2020.

Step-by-step explanation:

The x-coordinate of the point on the parabola where the tangent line has a slope of 18/18 is 5/8.

We are to find the x-coordinate of the point on the parabola y=20x²−12x/13 where the tangent line to the parabola has a slope of 18/18.  

The tangent line to the parabola has a slope of 18/18, so we can find the derivative of the equation y=20x²−12x/13 and set it equal to the given slope.dy/dx = 40x - 12/13

slope = 18/18 = 1

We can set the derivative equal to 1 and solve for x.40x - 12/13 = 1Multiplying both sides of the equation by 13, we have 40x - 12 = 13

Combining like terms, we get

40x = 25Dividing both sides by 40, we obtain x = 25/40 or x = 5/8.

Therefore, the x-coordinate of the point on the parabola where the tangent line has a slope of 18/18 is 5/8.

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