Simplify the expression.
Cos x csc x tan x
a.
-1
c.
1
b.
0
d.

The measure that best describes the change in the location of the drone is D. -26 1/10m

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, the underwater drone is located 9 3/5 meters below sea level and the drone is moved to a location that is 15 1/2 meters below sea level

The change will be:

= - 9 3/5 - 15 1/2

= - 9 6/10 - 15 5/10

= - 25 1/10

The change is - 25 1/10m.

The options are incorrect.

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Expression A and expression B are equivalent.

In order to determine if the expression are equivalent, the value of the expressions have to be determined.

2( m + m + m) + m

2(3m) + m

6m + m

= 7m

(3 + 4) m

7m

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√(a² + b²)²  - 4a²b²cos²θ is the product of the lengths of the two diagonals is given by the expression.

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.

                                An expression's structure is as follows: Number/variable, Math Operator, Number/Variable is an expression.

we have AB as a, AD as b and the angle between them is theta.

So using the cosine rule, we have

  BD = √a² + b² - 2abcosθ

So now consider the triangle ABC

Here AB is a, BC is b and the angle is 180-theta

So using cosine rule, we get AC as

   AC = √a² + b² - 2abcosθ( 180 - θ )

    AC = √a² + b² - 2ab(-cosθ )

    AC = √a² + b² - 2abcosθ

Now we have the two diagonals AC and BD. So multiplying, we get

 AC × BD = √a² + b² + 2abcosθ × √a² + b² - 2abcosθ

Simplifying, we get

AC × BD = √(a² + b² + 2abcosθ) × (√a² + b² - 2abcosθ)

AC × BD = √(a² + b²)² - (2abcosθ)²

AC × BD = √(a² + b²)²  - 4a²b²cos²θ

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The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

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Answer:

2 Line segments that meet an endpoint

Answer:

below. (Not all of the fraction cards will be used.)

3

3. 0.14

A 8

(E 4

4

12

B 5

4.0

5

lo

5

5. 0.8

C2

3

6

H 1

3

6. 0.76

D7

7

50

7. 0.03

(F 5

3

G 19

00

J 1

25

8. 0.625

33

9

9. 0.6

(1 2

(K 4

ט |ם.

+10

10.0.3

Answer:

40 students are in the class :)

Step-by-step explanation:

35%=14

1%=14/35=0.4

0.4*100=40=100%

Answer:

58593750

Step-by-step explanation:

Each of the number time 5

An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

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The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer: d≤69

Step-by-step explanation:

You would plug in all the values for d into the inequality

40(81) + 240 ≤ 3000

40(81) + 240 = 3000

3240+240=3000

3480=3000 false

40(75) + 240 ≤ 3000

40(75) + 240 = 3000

3000+240=3000

3240=3000 false

40(69) + 240 ≤ 3000

40(69) + 240 = 3000

2760+240=3000

3000=3000 true

You don't need to try the last one because you already found this one!

The inequality expresses the maximum number of days Marisa can pay the expenses for her bike trip will be d ≤ 69.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Marisa saved $3000 to take a bike trip from Florida to California.

She estimated her expenses to be $40 per day.

The cost of a ticket to fly back is $240.

The inequality below can be used to find the maximum number of days (d) for which Marisa can pay the expenses on the bike trip.

40d + 240 ≤ 3000

Substitute all the values for d into the inequality

For, d≤81

40(81) + 240 ≤ 3000

40(81) + 240 = 3000

3240+240=3000

3480=3000 false

For, d≤75

40(75) + 240 ≤ 3000

40(75) + 240 = 3000

3000+240=3000

3240=3000 false

For, d≤69

40(69) + 240 ≤ 3000

40(69) + 240 = 3000

2760+240=3000

=3000

therefore, LHS = RHS

Hence, d ≤ 69 is true.

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Answer:

  72

Step-by-step explanation:

First differences are ...

  18 -17 = 1

  22 -18 = 4

  31 -22 = 9

  47 -31 = 16

We observe that these are square numbers. The next square number is 25, so we expect the next number in sequence to be ...

  47 +25 = 72

The statement noncollinear points are points that do not lie on the same line is a postulate. Option C

Postulates are ideas suggested or accepted as a basic principle before a further idea is formed or developed from it.

It is generally known that non -collinear points are points that do not lie on the same line

Some postulates about non -collinear points are:

Thus, the statement noncollinear points are points that do not lie on the same line is a postulate. Option C

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Answer:

1. The minimum head breadth that will fit the clientele is of 3.95-in.

2. The maximum head breadth that will fit the clientele is of 9.25-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.6-in and a standard deviation of 1.1-in.

This means that \(\mu = 6.6, \sigma = 1.1\)

1. What is the minimum head breadth that will fit the clientele?

The 0.8th percentile, which is X when Z has a p-value of 0.008, so X when Z = -2.41.

\(Z = \frac{X - \mu}{\sigma}\)

\(-2.41 = \frac{X - 6.6}{1.1}\)

\(X - 6.6 = -2.41*1.1\)

\(X = 3.95\)

The minimum head breadth that will fit the clientele is of 3.95-in.

2. What is the maximum head breadth that will fit the clientele?

The 100 - 0.8 = 99.2nd percentile, which is X when Z has a p-value of 0.992, so X when Z = 2.41.

\(Z = \frac{X - \mu}{\sigma}\)

\(2.41 = \frac{X - 6.6}{1.1}\)

\(X - 6.6 = 2.41*1.1\)

\(X = 9.25\)

The maximum head breadth that will fit the clientele is of 9.25-in.

Answer:

1 x 3/6 = 3/6

2 x 3/6 = 1 or 6/6

3 x 3/6 = 1.5 or 1 3/6

4 x 3/6 = 2 or 12/6

hope this helps, not sure if this is correct...

have a good day

Hello!

\(\large\boxed{y = -7}\)

4 + y = -3

Isolate for y.

Subtract both sides by 4:

4 - 4 + y = -3 - 4

y = -7

Above you have the given 17 data ordered from least to greatest.

To find the relative frequency:

1. Frequency: Identify the number of data that goes in each temperature range:

93 to 96: 3 data (93,94,94)

97 to 100: 1 data (99)

101 to 104: 5 data (101, 102, 103, 103, 104)

105 to 108: 5 data (105, 105, 106, 107, 108)

109 to 112: 3 data (109, 110, 112)

2. Relative frequency: Find the ratio of the number of data you get in step 1 (Frecuency) to the total number of data (17):

93 to 96:

97 to 100:

101 to 104:

105 to 108

109 to 112

Then, the relative frequencies are:

93 to 96: 0.18

97 to 100: 0.06

101 to 104: 0.29

105 to 108: 0.29

109 to 112: 0.18

Answer: the other person is correct

Step-by-step explanation:

Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.

A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages ​​are:

L1, which has exactly one "a" but any number of "bs".

L2, which has an odd number of "as" and an even number of "bs".

L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.

L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".

L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.

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The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C

From the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.

The amount of 150 dollars would then be added to the debt that has the second highest rate.

Hence the amount of debt that would be paid off first would be the first debt based on the stack method.

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The surface area of the given rectangular pyramid is approximately 237.24 square feet.

To calculate the surface area of a rectangular pyramid, you need to consider the base and the four triangular faces.

The base of the pyramid is a rectangle, so its surface area is given by the formula: length × width.

Given that the length of the base is 8 feet and the width is 9 feet, the area of the base is 8 × 9 = 72 square feet.

To calculate the surface area of the four triangular faces, we need to find the area of each triangle and then sum them up.

The area of a triangle can be calculated using the formula: 0.5 × base × height.

In this case, the base of each triangle is the same as the width of the rectangular base (9 feet), and the height is the slant height of the pyramid.

To find the slant height, we can use the Pythagorean theorem, since the slant height, the height of the pyramid, and the width of the base form a right triangle.

The slant height can be found using the formula: √(height² + (0.5 × width)²).

Given that the width is 9 feet and the height is 8 feet, the slant height can be calculated as follows:

slant height = √(8² + (0.5 × 9)²)

slant height = √(64 + 20.25)

slant height = √84.25

slant height ≈ 9.18 feet

Now, we can calculate the area of each triangle:

area of triangle = 0.5 × base × height

area of triangle = 0.5 × 9 × 9.18

area of triangle ≈ 41.31 square feet

Since there are four triangular faces, the total surface area of the pyramid is:

total surface area = area of base + 4 × area of triangles

total surface area = 72 + 4 × 41.31

total surface area = 72 + 165.24

total surface area ≈ 237.24 square feet

Therefore, the surface area of the given rectangular pyramid is approximately 237.24 square feet.

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Answer:

Minimum wage refers the smallest wage an employee can make per hour for all hours he or she works on the job. ... For example, New York has a higher minimum wage than Maine, as the cost of living is higher in New York.

if my answer helps you than mark me as brainliest.

Answer:

Multiplication

Step-by-step explanation:

\(\frac{x}{3} =15\)

To get the 3 out of the denominator, you would have to multiply each side by 3:

\(3*\frac{x}{3} =3*15\\x=45\)

Answer:

X=45

Step-by-step explanation:

Multiply 3 on both sides

Answer:

I got 4.875

Step-by-step explanation:

so it would be either $4.87 or rounded up would be $4.88

Answer:

Following are the responses to the given question:

Step-by-step explanation:

\(Null \ H_{yp}: \mu_{men} = \mu_{women}\\\\Alt \ Hyp: \mu_{men} \neq \mu_{women}\\\\Std\ Error\ (SE) = \sqrt{(\frac{s_1^2}{n_1}) + (\frac{s_2^2}{n_2})} \\\\\)

                          \(= \sqrt{(\frac{0.62}{90}) + (\frac{0.52}{100})} \\\\= 0.08\)

\(test\ statistic \ t = \frac{(x_1 - x_2)}{SE} = \frac{(8.4 - 8.5)}{0.08} = -1.25\)

Degrees of freedom

\(= \frac{(\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2})^2}{\frac{(\frac{s_1^2}{n_1})^2}{(n_1 - 1)}} + \frac{(\frac{s_2^2}{n_2)^2}}{(n_2 - 1)} \\\\= 174\)

Considering a degree of 5% importance

T for df critical value = 174 and sig level = 0.05 is +1.973

Let area of refusal shall be  t < -1.973 or t > +1.973

Because statistical tests weren't in the refusal zone, they may not deny that zero but find that perhaps the argument how both women and men undergo med school is considerably different lengths of time is not significantly supported.

Step-by-step explanation:

substitute first equation into second one

Answer:

Step-by-step explanation:

❁ Hello! ❁

{x + y = 12 __ {x = 12 - y

{x - y = 2 {12 - y - y = 2

{x = 12 - y __ {x = 12 - y

{12 - 2y = 2 {-2y = 2 - 12

{x = 12 - y __ {x = 12 - y

{-2y = -10 {y = 5

{x = 12 - 5 __ {x = 7

{y = 5 {y = 5

Success! ☺️

if the angles are complementary, then the sum of the angles is 90°

so the measure of the angle 2 is 5°

Answer:

C

Step-by-step explanation:

Recall that whenever our simplification of a linear equation ends in a true statement, then our linear equation has infinitely many solutions.

Therefore, our answer is C.

In general:

This is because if we get a true statement, then this implies that the two linear equations are the exact same line.

If we get a false statement, this implies that the two equations are two distinct parallel lines: they will never intersect.

Lastly, if we get a variable equal to a value, this implies that the two equations are distinct and non-parallel: they will intersect at one point.

Answer:

its 109384

Step-by-step explanation:

These models show the electron structures of two different nonmetal elements.

Which element is likely more reactive, and why?

Element 1 is more reactive because it has fewer electron shells and is toward the top of its group on the periodic table.

Element 1 is more reactive because it has more electrons in its valence shell and is farther to the right on the periodic table.

Element 2 is more reactive because it does not have a valence shell close to the nucleus, so it will attract electrons.

Element 2 is more reactive because it does not have a full valence shell, so it will attract electrons.

Answer:

\(-2\frac{1}{4}<-1\frac{1}{4}<\frac{3}{4}<|1\frac{1}{4}|<|-1\frac{3}{4}|<|-2\frac{1}{4}|\)

Step-by-step explanation:

Mod of any number represents the absolute value of the number.

Therefore, \(|-2\frac{1}{4}|=2\frac{1}{4}\) = 2.25

\(-2\frac{1}{4}=-2.25\)

\(|1\frac{1}{4}|=1.25\)

\(\frac{3}{4}=0.75\)

\(|-1\frac{3}{4}|=1\frac{3}{4}=1.75\)

\(-1\frac{1}{4}=-1.25\)

Now we can arrange these numbers in ascending order.

-2.25 < -1.25 < 0.75 < 1.25 < 1.75 < 2.25

Therefore, \(-2\frac{1}{4}<-1\frac{1}{4}<\frac{3}{4}<|1\frac{1}{4}|<|-1\frac{3}{4}|<|-2\frac{1}{4}|\)