find exact value sin 9pie/ 4

After solving the quadratic equation, the roots are (x - 2) and (x + 7).

To determine values for various parameters, quadratic functions are employed in a variety of engineering and scientific disciplines. A parabola is used to graphically illustrate them.

The direction of the curve is determined by the highest degree coefficient. Quadratic is a derivative of the term quad, which signifies square.

As per the given equation in the question,

x² + 5x - 14 = 0

b² - 4ac

5² - 4(1)(-14)

25 + 56 = 81

Use the equation,

-b ± \(\sqrt{b^2-4ac}/2a\)

Substitute the values,

(-5 + 9)/2 = 2 and,

(-5 - 9)/2 = -7

Therefore, the root will be (x - 2) and (x + 7).

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We had written an algorithm, using pseudo code.

//Define the required variables.

total_number_of_steps = 0

number_of_steps = 0

//robot stands up to walk.

stand

//the robot moves forward till the wall is not reached.

while (wall is not reached)

//the robot senses the wall with the help of arms.

raise arms

sense_the_wall

if (wall is not there)

//if the wall is not found, the robot lowers the arms

lower arms

//if wall is not detected, the robot moves forward.

step_forward

//increment the number of steps forward.

number_of_steps=number_of_steps+1

//increment the total number of steps.

total_number_of_steps=total_number_of_steps+1

else

exit

end if

end while

//else if the wall is found, lower the arms

lower arms

//the robot turns 90 degrees right once.

turn_right_90

//the robot turns 90 degrees right again.

turn_right_90

//till the number of steps does not reach 0, move

for (number_of_steps! = 0)

step

//increment the total number of steps.

total_number_of_steps=total_number_of_steps+1

//the robot moves backwards on detecting the wall, so

//decrement the number of steps.

number_of_steps = number_of_steps-1

//end the for loop.

end for

//the robot turns 90 degrees left once.

turn

//the robot turns 90 degrees left again.

turn

//the robot sits down.

sit

//display the total number of steps taken by robot

display total_number_of_steps

The last line ends the pseudocode

Stop

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Answer:

-x-2<y<-x-10

Step-by-step explanation:

Answer:

B on edge 2022

Explanation:

Picture:

The time it takes the rock to reach the canyon floor is 8.5 seconds.

Option C is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Using the quadratic formula.

t = (-b ± √(b² - 4ac)) / 2a

where a = -16, b = 0, and c = 255.

Now,

Plugging in the values.

t = (-0 ± √(0² - 4(-16)(255))) / 2(-16)

t = (± √(16320)) / (-32)

t = (± 128) / (-32)

So,

The solutions for t.

t = 4 seconds (taking the negative solution)

t = 8.5 seconds (taking the positive solution)

We can eliminate t = 0.87 seconds and t = 16 seconds as they are not solutions to the equation.

Therefore,

The time it takes the rock to reach the canyon floor is 8.5 seconds.

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Answer:

i was about to answer but i forgot sorry

Step-by-step explanation:

The value of x obtained using the inverse trigonometric ratios for tangent  is x ≈ 51.1°

The tangent of an angle, θ, tan(θ) in a right triangle is the ratio of the length of the side adjacent to the angle to the length of the side opposite to the angle.

Mathematically; tan(θ) = Opposite/Adjacent

The details in the question includes;

The shape of the figure = A right triangle

The length of the side adjacent to the angle, ON x = 7.5

Length of the side opposite to the angle, NM x = 9.3

The measure of the angle x° can be found using the trigonometric ratio for tangent as follows;

tan(x) = NM/ON

Therefore;

tan(x) = 9.3/7.5

x° = arctan(9.3/7.5) ≈ 51.1°

x ≈ 51.1°

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Answer:

y=36 and X=44

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Let the number be x

Condition:

=> \(\frac{1}{2} x+5 = 11\)

=> \(\frac{x}{2} = 11-5\)

=> \(\frac{x}{2} = 6\)

Multiplying both sides by 2

=> x = 6* 2

=> x = 12

he may  have disappeared but he is probably alive

The chance that the average of the draws will be in the range 73 to 77 is 0.6826 when the average ticket value per box is 75, while the standard deviation is 10.

Given that,

The average ticket value per box is 75, while the standard deviation is 10. With replacement from this box, 25 random draws are conducted in total.

We have to find the chance that the average of the draws will be in the range 73 to 77.

We know that,

Take

μ=75,σ=10

X₁=73, X₂=77

We need to compute P(73≤X≤77)

The corresponding p-values are calculated by using control limit theorem

Z=X-μ/σ

Z₁=73-75/10=-2/10=-1/5

Z₂=77-75/10=2/10=1/5

We get,

P(73≤X≤77)

P(-1/5≤z≤1/5)

P(z≤1/5)-P(z≤-1/5)

0.6826

Therefore, the chance that the average of the draws will be in the range 73 to 77 is 0.6826 when the average ticket value per box is 75, while the standard deviation is 10.

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Answer:

add the width, height, and plus 2 times

Answer:

Step-by-step explanation:

You can set this up as a proportion

30/25 = x/5

Cross multiply

25*x = 30*5

25*x = 150

x = 150/25

x = 6

Answer:

30 to 150

25 to 5

Step-by-step explanation:

if there are 25 basketballs for every 5 soccer balls, that means that there is 1 soccer ball for every 5 basketballs. so to get how many soccer balls to basket balls, you would multiply 30 by 5 to get 150. For every 30 soccer balls there are 150 basketballs.

The following formula: 11(h - 40)/2 Recommended weight is 165 lbs

The  formula is

=11(h - 40)/2

w = weight and h = height in inches.

5 feet 10 inches tall,

so putting the value of h

11(43-40)/2=165lbs

The first big step you can take to improve your health is to achieve your desired body weight. Obesity and being overweight are the root causes of the majority of lifestyle illnesses .

Heart disease, stroke, diabetes, obesity, metabolic syndrome, chronic obstructive pulmonary disease, and some forms of cancer are among them . What was formerly thought to be a "western sickness" or "affluent disease" now affects poor countries as well.

The first big step you can take to improve your health is to achieve your desired body weight. Obesity and being overweight are the root causes of the majority of lifestyle illnesses . Heart disease, stroke, diabetes, obesity, metabolic syndrome, chronic obstructive pulmonary disease, and others are examples.

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The probability all three marbles are the same color is 0.0902 and the probability none of the three marbles is white is 0.977

The given parameters are

Red = 9

White = 7

Blue = 6

The total number of marbles is calculated as

Total = Red + White + Blue

This gives

Total = 9 + 7 + 6

Evaluate

Total = 22

The probability is then calculated as

P(Same color) = P(All red) + P(All white) + P(All blue)

The selections are without replacement

So, we have

P(Same color) = (9 * 8 * 7)/(22 * 21 * 20) + (7 * 6 * 5)/(22 * 21 * 20) + (6 * 5 * 4)/(22 * 21 * 20)

Evaluate

P(Same color) = 0.0902

Hence, the probability all three marbles are the same color is 0.0902

The given parameters are

Red = 9

White = 7

Blue = 6

The total number of marbles is calculated as

Total = Red + White + Blue

This gives

Total = 9 + 7 + 6

Evaluate

Total = 22

The probability is then calculated as

P(No white) = 1 - P(All white)

The selections are without replacement

So, we have

P(No white) = 1 - (7 * 6 * 5)/(22 * 21 * 20)

Evaluate

P(No white) = 0.977

Hence, the probability none of the three marbles is white is 0.977

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Answer:

The cost of that car in 2012 dollars is $20,755

Step-by-step explanation:

We take a look at inflation values of the dollar to solve this question.

100 dollars in 1976 are equivalent to 469.48 dollars in 2021.

100 dollars in 2012 are worth 113 dollars today.

So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So

469.48/1.13 = 415.5.

That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.

In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?

Multiplying by 4.155

5000*4.155 = 20,755

The cost of that car in 2012 dollars is $20,755

im pretty sure the answer is 2.666666 (ongoing forever)

-8 ÷ 3

Answer:

-8 divided by 3

Step-by-step explanation:

they want a negative eight and i think divided by 3

The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

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Answer:

48 ft.

Step-by-step explanation:

sqr root 144= 12

12x4=48

Answer:

infinite. no right answer

Step-by-step explanation:

3x+6=3x+6

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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Answer:

c

Step-by-step explanation:

12 divide by 6 is 2

Answer:

C

Step-by-step explanation:

If she has 12 stuffed animals, and 6 fit in each box, they will need 2 boxes.

12/6= 2

The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Answer:

for 20 miles per hour

Step-by-step explanation:

.

Answer:

$4.26 per ceiling tile.

Step-by-step explanation:

Answer:

33.69\(\pi\) or 105.83

Step-by-step explanation:

Volume for a cylinder is

V= \(\pi r^{2}h\)

we need to find the radius from the base

B = 2\(\pi\)r

B= 3.5/2 = 1.75

V =\(\pi 1.75^{2}*11\)

V =  33.69\(\pi\) or 105.83 depending if you want it in pi for or not

sinθ=y/r

cosθ=x/r

tanθ=y/x

x^2 + y^2 = r^2

r^2(sin^2 θ + cos^2 θ) =r^2

sin^2 θ + cos^2 θ=1