PLEASEEEE HELPPPPP!!!

Select the correct answer. Simplify the expression.

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

To learn more on trigonometric equations: https://brainly.com/question/22624805

#SPJ1

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

12 216

Step-by-step explanation:

exponents multiplyed by each other

Answer: I think its 12^18

Step-by-step explanation: because you add the exponents together.

Answer:

It would be one fourth of the sum of a number and two is the same as 40--> (1/4)(x+2)=40

Step-by-step explanation:

x+2= 160

x=158

Answer:

the answer is 26.6666667 and when rounded off is 26.7

d. it is reasonable because all the scores equal 600

What is estimation?

Finding an estimate or approximation—a number that may be used for a purpose despite insufficient, ambiguous, or unstable input data—is called estimation (or estimating). Despite this, the value is still useful because it was created using the most up-to-date data. To estimate the value of a matching population parameter, estimation often entails "using the value of a statistic determined from a sample."

the six winning basketball scores totaled 600 points. three scores,103 81 112, and 97 were already recorded in the team log. Shawn estimated that the other scores would be 107 and 100.

it is reasonable because all the scores equal 600

103+81+112+97=393

and 107+100=207

adding both,

393+207=600

To learn more about estimation checkout https://brainly.com/question/17961193

#SPJ1

Answer:

MP = 19

Step-by-step explanation:

17+3y=5y+9

or, 17-9 = 5y-3y

or, 8=2y

so, y = 2

Now,

MP = 5y+9

or, MP = 5×2+9

or, MP = 10+9

so, MP = 19

The figure's perimeter and area would be as follows.

Perimeter = 21.19 cm

Area = 25.501 cm²

A Cartesian coordinate system in some kind of a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates, which are the signed distances from two fixed perpendicular lines that are aligned to the point and are both measured in the same length.

point of the coordinates are as follows:

A(2, 1)

B(8, 6).

C(10, 1)

We know that the formula for finding for the distance is:

d=√((x2 – x1)² + (y2 – y1)²).

For Point AB:

X₁ = 2

Y₁ = 1

X₂ = 8

Y₂ = 6

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((8 – 2)² + (6 – 1)²).

d=√((6)² + (5)²).

d=√(36 + 25).

d=√(61).

AB =7.81

For Point BC:

X₁ = 8

Y₁ = 6

X₂ = 10

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((10 – 8)² + (1 – 6)²).

d=√((2)² + (-5)²).

d=√(4 + 25).

d=√(29).

BC = 5.38

For Point CA:

X₁ = 10

Y₁ = 1

X₂ = 2

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((2 – 10)² + (1 – 1)²).

d=√((-8)² + (0)²).

d=√(64 + 0).

CA = 8

The perimeter of the given figure is:

Sum of all the sides.

AB + BC + CA

7.81 + 5.38 + 8

21.19 cm

Now finding the area of the tringle we use Pythagoras formula:

H² = P² + B²

P² = H²  - B²

P² = (7.81)²  - (5.38)²

P = 9.4837

We know that the area of the triangle is: = 1/2(base * Hight).

                                                                    = 1/2(5.38  * 9.48)

                                                                    = 25.501 cm²

To know more about coordinate system visit:

https://brainly.com/question/28417773

#SPJ13

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

Learn more about inequality expression here: https://brainly.com/question/25275758

#SPJ1

Answer:

it'll cost about $4.13

Step-by-step explanation:

Answer:

125250

Step-by-step explanation:

I just askeked and it gave me the answere

Answer: \(-49x^{5} - 34x^{3} - 68\) or \(49x^{5} + 34x^{3} + 68\)

Step-by-step explanation:

Since both groups have the same variables and exponents, just align them and add.

\(-54x^{5}+5x^{5} = - 49x^{5}\)

\(35x^{3} - 69x^{3} = -34x^{3}\)

- 61 - 7 = - 68

\(-49x^{5} - 34x^{3} - 68\)

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Answer:Look

Step-by-step explanation: Look and solve its not that hard

The side length of Amanda's phone is 8 inches.

A scale drawing is either an enlarged or reduced image of another image or object. A scale drawing is enlarged or reduced using a scale. A scale is a used to determine the ratio between the scale drawing and the original diagram.

The scale is used to keep the proportion of the dimensions between the scale drawing and the original diagram similar. The scale in this diagram is 7inches to 1 inches. This means that the screen on the wall is 7 times larger than her phone's screen.

In order to determine the side length of Amanda's phone, divide the scale of the screen by the side length of the screen on the wall.

Side length of Amanda's phone = 56 inches / 7 inches

= 8 inches

To learn more about scale drawings, please check: https://brainly.com/question/26388230

#SPJ1

Answer:

10 6/25

Step-by-step explanation:

"three and one fifth" symbolically is 3 1/5 or 3.2 or 16/5.

Then "three and one fifth" of 1 1/2 is:

3.2*3.2 = 10.24 or 10 24/100 or 10 6/25 or 256/25

9514 1404 393

Answer:

  A. 3 packs

  B. $78.84

Step-by-step explanation:

A. Two bottles for each of 26 guests is a total of 2×26 = 52 bottles.

That many bottles will be found in 52/18 = 2 16/18 packs of bottles. Since Eliana cannot purchase partial packs, she will need to buy 3 packs of bottles.

__

B. Each pack costs $26.28, so the cost of 3 packs is 3×$26.28 = $78.84. Eliana will spend $78.84 on water for her guests.

H0 is the null hypothesis stating with that the population proportion of

puppies who are spotted is less than or equal to 0.25,

H0: p <= 0.25

H1: p > 0.25

In a scientific setting, a hypothesis (plural: hypotheses) is a tested

claim regarding the causal connection between two or more variables

or a suggested explanation for a phenomenon that has been

observed.

where H0 is the null hypothesis stating that the population proportion

of puppies who are spotted is less than or equal to 0.25, and H1 is the

alternative hypothesis stating that the population proportion of puppies

who are spotted is greater than 0.25.

To know more about hypotheses Visit:

https://brainly.com/question/18064632

#SPJ1

Answer:

Point W

Step-by-step explanation:

Just trusssss me

The intersection of line m and line n is described by point W.

Intersecting lines are those lines that meet or cross each other in a plane. On the other hand, when two or more lines do not meet at any point, they are called non-intersecting lines.

When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection. Observe the following figure which shows two intersecting lines 'a' and 'b' and the point of intersection 'O'.

As, given that

Line m intersects line n at point W.

So, where the line meets should be a intersecting point.

Hence, W is the intersecting point.

Learn more about intersecting line here:

https://brainly.com/question/14217061

#SPJ2

= 42:12

= 21:6

= 14:4

= 7:2

divided by 1, 2, 3, and 6

Answer:

π/10

Step-by-step explanation:

α=-19π/10=-19π/10+2π=(-19π+20π)/10=π/10

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

For more question on  Probability visit:

https://brainly.com/question/25839839

#SPJ8

(A) The rate of making coffee by coffee maker  is 6 mL/second.

(B) The rate of making juice by juice maker is 8 mL/second.

(C) Juice is being made at a faster rate.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The rate of coffee made by coffee maker is represented by,

y = 6x       (1)

Here, y represents the amount of coffee in mL and x represents the time passed in seconds.

Also, The rate of juice made by juice make can be represented by the given table as,

k = 8h     (2)

Here, k represents the amount of juice in mL and h represents the time passed in seconds.

(A)

To find the rate of making coffee, solve the equation (1),

y = 6x

⇒ y/x = 6 mL/second

The rate of making coffee by coffee maker  is 6 mL/second.

(B)

To find the rate of making juice, solve the equation (2),

k = 8h

⇒ k/h = 8 mL/second

The rate of making juice by juice maker is 8 mL/second.

(C)

Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.

Therefore, juice is being made at a faster rate.

To know more about Ratio on:

https://brainly.com/question/23724140

#SPJ1

The possible values for the range of f(x) are given by:

The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.

In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:

More can be learned about the range of a function at https://brainly.com/question/28015028

#SPJ1

Answer:

3(x+1)<18

3x+3<18

3x<15

x<5

Step-by-step explanation:

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

for such more question on derivative

https://brainly.com/question/23819325

#SPJ8

Answer:

Step-by-step explanation:

Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Approximately 99.7% of housing prices are between a low price of $108,000 and a high price of $162,000.

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:

As we want the interval with a percentage of 99.7%, the bounds within three standard deviations of the mean are given as follows:

More can be learned about the Empirical Rule at brainly.com/question/10093236

#SPJ1