15.695 to the nearest hundredth

Answer:

1. (a)  [-1, ∞)

   (b)  (-∞, -1) ∪ (1, ∞)

2. (a)  (1, 3)

    (b)  (-∞, 1) ∪ (3, ∞)

3. (a)  9.6 m and 0.4 m

   (b)  03:08 and 15:42

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

The range of a function is the set of all possible output values (y-values).

Part (a)

When x < 0, the function is f(x) = x².

Since the square of any non-zero real number is always positive, the range of the function f(x) for x < 0 is (0, ∞).

When x ≥ 0, the function is f(x) = sin(x).

The minimum value of the sine function is -1 and the maximum value of the sine function is 1.  As the sine function is periodic, the function oscillates between these values.  Therefore, the range of function f(x) for x ≥ 0 is [-1, 1].

The range of function f(x) is the union of the ranges of the two separate parts of the function.  Therefore, the range of f(x) is [-1, ∞).

Part (b)

The domain of the function g(x) = ln(x² - 1) is the set of all real numbers x for which (x² - 1) is positive, since the natural logarithm function (ln) is only defined for positive input values.

Find the values of x:

\(\implies x^2-1 > 0\)

\(\implies x^2 > 1\)

\(\implies x < -1, \;\;x > 1\)

Therefore, the domain of function g(x) is (-∞, -1) ∪ (1, ∞).

Part (a)

To determine the interval where f(x) < 0, we need to find the values of x for which the quadratic is less than zero.

First, set the function equal to zero and solve for x:

\(\begin{aligned} x^2-4x+3&=0\\x^2-3x-x+3&=0\\x(x-3)-1(x-3)&=0\\(x-1)(x-3)&=0\\ \implies x&=1,\;3\end{aligned}\)

Therefore, the function is equal to zero at x = 1 and x = 3 and so the parabola crosses the x-axis at x = 1 and x = 3.

As the leading coefficient of the quadratic is positive, the parabola opens upwards. Therefore, the values of x that make the function negative are between the zeros.  So the interval where f(x) < 0 is 1 < x < 3 = (1, 3).

Part (b)
Since the square root of a negative number cannot be taken, and dividing a number by zero is undefined, function f(x) has to be positive and not equal to zero:  f(x) > 0.

As the parabola opens upwards, the values of x that make the function positive are less than the zero at x = 1 and more than the zero at x = 3.

Therefore the domain of g(x) is (-∞, 1) ∪ (3, ∞).

Part (a)

The range of a sine function is [-1, 1]. Therefore, to calculate the maximal and minimal possible water depths of the bay, substitute the maximum and minimum values of sin(t/2) into the equation:

\(\textsf{Maximum}: \quad 5+4.6(1)=9.6\; \sf m\)

\(\textsf{Maximum}: \quad 5+4.6(-1)=0.4\; \sf m\)

Part (b)

To find the times when the depth is maximal, set sin(t/2) to 1 and solve for t:

\(\implies \sin \left(\dfrac{t}{2}\right)=1\)

\(\implies \dfrac{t}{2}=\dfrac{\pi}{2}+2\pi n\)

\(\implies t=\pi+4\pi n\)

Therefore, the values of t in the interval 0 ≤ t ≤ 24 are:

Convert these values to times:

Answer:

Step-by-step explanation:

Associative property

Answer:

i normally know these but i honestly dont know but can you please put branliest

Step-by-step explanation:

Step-by-step explanation:

Keep in mind that this triangle is a 45-45-90 triangle meaning that it's isosceles

This means that the other side is also equal to s

The best way to solve this is by using the pythagorean theorem

\(a^{2}\)+\(b^{2}\) = \(c^{2}\)

10\(\sqrt{2}\) = c (because it's the hypotenuse or the longest side)

s = a

s= b

Substitute the values into the formula stated above

\(a^{2}\)+\(b^{2}\)= \(c^{2}\)

\(s^{2}\)+\(s^{2}\) =(10\(\sqrt{2}\)\()^{2}\)

Simplify

\(2s^{2}\) = \((\sqrt{102} )^{2}\)

\(2s^{2}\)= 102

Now continue simplifying till you completely solve it

\(\frac{2s^{2} }{2}\)= \(\frac{102}{2}\)

\(s^{2}\)= 51

\(\sqrt{s^{2} }\) = \(\sqrt{51}\)

s=\(\sqrt{51}\)

I hope this helps!!!

Answer:

2x+8.7=23.4

Step-by-step explanation:

Answer:

Probability of getting a green ball is more than that of getting a white ball.

Step-by-step explanation:

There are in all (5+3= 8) outcomes of the experiment. There are 5 outcomes in favour of the event of getting a green ball as there are 5 identical green balls in the bag.

Therefore, P(a green ball) = 5/8

In the same way,P(a white ball) = 3/8

Thus, clearly the probability of getting a green ball is more than that of getting a white ball.

Answer:

\((17x)^{\frac{2}{4}}\)

Step-by-step explanation:

There's not much work to show for this problem, but I'll explain it for you

Use the exponent rule for roots to combine the 4 and the 2 like a fraction

2 on the top and 4 on the bottom

\((17x)^{\frac{2}{4} }\)

That's it!  Pretty easy

Good Luck!

pls mark brainliest

The Integral \(\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt = i\tan \left(t\right)+\frac{j\left(t^2+1\right)^5}{10}+k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)\)

Given integral;

\(\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt\)

By solving the above integral, we have;

⇒ \(\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt\)

By applying the sum rule,

⇒ \(\int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\)

\(=\int \sec ^2\left(t\right)idt+\int \:t\left(t^2+1\right)^4jdt+\int \:t^6\ln \left(t\right)kdt\)

\(\int \sec ^2\left(t\right)idt=i\tan \left(t\right)\)

\(\int \:t\left(t^2+1\right)^4jdt = \frac{j\left(t^2+1\right)^5}{10}\)

\(\int \:t^6\ln \left(t\right)kdt = k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)\)

⇒ \(i\tan \left(t\right)+\frac{j\left(t^2+1\right)^5}{10}+k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)\)

Therefore, the integral \(\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt = i\tan \left(t\right)+\frac{j\left(t^2+1\right)^5}{10}+k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)\)

To learn more about Integral  click here:

brainly.com/question/18125359

#SPJ4

Answer:

300x

Step-by-step explanation:

2-2-2-2-2-2-2-2-2

Answer:

300x !

Step-by-step explanation:

Answer:

arc BC = 140

Step-by-step explanation:

Comment

Pick a point inside the circle. It should look like this point is the center of the circle. Call this point D. Draw lines CD and BD

CD makes a right angle with AC

BD makes a right angle with AB

The central angle formed by The given information above is

<BDC = 360 - 90 - 90 - 40

<BDC = 140.

Answer The arc measurement of BC = 140

Based on the given information, Madras Limited Liability Company (LLC) needs to make certain adjustments in their financial statements. Firstly, the company should make a provision for the legal costs of P50,000 related to the wrongful dismissal case. Even though the legal team is confident that the ex-employee will not be successful, the provision must be made as the costs are to be incurred regardless of the outcome. This will reflect the true financial position of the company and will ensure that the financial statements present a fair view of the company's affairs.

Secondly, the company needs to make a provision for the settlement of P150,000 if the ex-employee's case is successful. This provision needs to be made because there is a likelihood of an outflow of economic resources in the future, as a result of the company losing the case. This provision will reduce the company's profit and hence its tax liability.

Thirdly, the company needs to recognize the refunds of P48,000 made to dissatisfied customers as a liability. Even though Madras LLC is under no legal obligation to make refunds, their policy of making refunds is generally known. Hence, the company has a constructive obligation to make refunds and therefore, the refunds should be recognized as a liability in the financial statements.

Lastly, the company needs to make a provision for the damages payable to the pedestrian injured on their building site. The legal advisers have confirmed that the company will have to pay damages of P100,000. Hence, the company needs to make a provision for this amount as there is a likelihood of an outflow of economic resources in the future. However, as the company has a counterclaim against the building subcontractors for P50,000, this amount can be netted off against the provision. Therefore, Madras LLC needs to make a provision of P50,000 for the net amount of damages payable to the pedestrian.

In conclusion, Madras LLC needs to make the above-mentioned adjustments to their financial statements to ensure that the financial statements present a fair view of the company's affairs. These adjustments will also ensure that the company complies with the Generally Accepted Accounting Principles (GAAP) and will help stakeholders in making informed decisions based on the financial statements.

Answer:

what is your question ask then I shall answer you

Answer:$346.8

Step-by-step explanation:

1. X - 70% = 204

Want to get the value of X

2. X + 70% = 204 + 70%

= X = 204 x 1.7

= X = $346.8

Answer:

Original Price = $680

Step-by-step explanation:

Think about what a 70% reduction in price means.

If the original price of an item is $100 then a 70% reduction would mean that it costs 70% less from the original price. This means you would be paying only 30% of the original price

Let the original price be $P

Then the price you pay after 70% reduction is 30% of P
= P x 30/100

= P x 0.3                  (30% = 30/100 = 0.3)

= 0.3P

We are given that this sale price = $204

--> 0.3P = 204

Dividing both sides by 0.3 gives us the value for P
0.3P/0/3 = 204/0.3

P = 204/0.3 = 680

So

Original Price = $680

We can double check our computations as follows

If original price = 680, then a reduction of 70% would be a discount of
0.7 x 680 = 476

Price after discount = Original Price - Discount

= 680 - 476 = 204

So our results are consistent

Answer:

Step-by-step explanation:

1+12=30

Answer:

it is A trust me :)

Step-by-step explanation:

Answer:

AC is 2sqrt(13)

BD is 9

Step-by-step explanation:

AC is 2sqrt(13) from the pythagorean theorem

BD is equal to 9 after doing so trig

Then 62.5% of the campers at the Wild Outdoors camp this morning will be horseback riding

To find the percentage of campers that will be horseback riding, we need to first add the ratio together to get the total number of parts. In this case, the ratio of horseback riding to canoeing is 5:3, so there are 5 + 3 = 8 parts in total.

To find the percentage of campers that will be horseback riding, we divide the number of parts for horseback riding by the total number of parts, then multiply by 100 to get the percentage.

So, 5 parts out of 8 parts are for horseback riding. This is equivalent to 5/8 or 0.625 as a decimal. To find the percentage, we multiply by 100, which gives us 62.5%.

To learn more about : campers

https://brainly.com/question/118349

#SPJ8

Answer:

I believe the answer is D.a spinner divided into 4 congruent sectors, spun 7 times

Step-by-step explanation:

He said he makes 75% of his free throws and 1 of those 4 would be him missing it and he would spin 7 times for his 7 tries.

A spinner divided into 4 congruent sectors, spun 7 times spinner simulation uses an appropriate device and has the correct number of trials.

Given that,

Vince makes 75% of his free throw attempts.

He wants to create a tool that will simulate his free throw shooting and  allow him to predict the probability that he will make 6 of his next 7 free throw attempts.

We have to determine,

Which spinner simulation uses an appropriate device and has the correct number of trials?

According to the question,

Vince makes 75% of his free throw attempts.

He wants to create a tool that will simulate his free throw shooting and  allow him to predict the probability that he will make 6 of his next 7 free throw attempts.

The value-free throw of the area is greater than the probability of getting a spinner number of trials is high.

And the value-free throw of the area is less than the probability of getting a spinner number of trials is low.

Therefore, the spinner has been divided into 4 congruent sectors.

And he makes 75% of his free throws and 1 of those 4 would be him missing it and he would spin 7 times for his 7 tries.

Hence, A spinner divided into 4 congruent sectors, spun 7 times spinner simulation uses an appropriate device and has the correct number of trials.

For details refer to the link given below.

https://brainly.com/question/17066490

Answer:

answer 4 im pretty sure

Step-by-step explanation:

i did da math

The quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

From the question, we are to determine how much water is left in the barrel

From the given information,

"The barrel is filled with 18 gallons of water"

and

"Ryan used 9.7 gallons to water his garden in June"

After this time,

The quantity of water that would be left in the barrel will be 18 gallons - 9.7 gallons

= 8.3 gallons

Then,

3 and one eighth gallons in July

3 and one eighth = 3 1/8 = 3.125 gallons

The quantity of water that would be left is 8.3 gallons - 3.125 gallons

= 5.175 gallons

Hence, the quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

Learn more on Calculating Quantity here: https://brainly.com/question/25961625

#SPJ1

Answer:

b

Step-by-step explanation:

Answer:

Answer: The perimeter of the large rectangle measured 75 feet.

Step-by-step explanation:

Step-by-step explanation:

For two similar rectangles,

The perimeter of the small rectangle is 50 feet.

Given ratio between two similar rectangles: 3:2

So,

Hence, the perimeter of the large rectangle measured 75 feet.

Info from https://brainly.com/question/20859443

Confirmed this is correct!

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

By using these mental math techniques, Allie can quickly estimate that the discounted price of the hat is approximately $8.50. Allie can use mental math strategies to calculate the discounted price of the hat without a calculator or paper.

Here are a few ways she can do it:

Method 1: Percentage off

Calculate 10% of $12.99 by moving the decimal point one place to the left: $1.29.

Divide 10% by 2 to get 5%: $1.29 / 2 = $0.64.

Multiply 5% by 7 to get 35%: $0.64 * 7 = $4.48.

Subtract $4.48 from $12.99: $12.99 - $4.48 = $8.51 (approximate).

Method 2: Amount saved

Calculate 35% of $12.99 by multiplying the original price by 35% (0.35): $12.99 * 0.35 = $4.55.

Subtract $4.55 from $12.99: $12.99 - $4.55 = $8.44 (approximate).

Method 3: Estimation

Round $12.99 to $13 for easier calculations.

Estimate 35% of $13 to be approximately $4.50.

Subtract $4.50 from $13: $13 - $4.50 = $8.50 (approximate).

For more such questions on Techniques:

https://brainly.com/question/13982807

#SPJ8

The solutions to the given inequality is: C. {x| -5 ≤ x ≤ 3}.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

The given inequality can be rewritten as follows:

(x - 3) ≤ 0.

(x + 5) ≤ 0.

Evaluating the inequalities, we have:

(x - 3) ≤ 0

x - 3 ≤ 0

x ≤ 0 + 3

x ≤ 3

(x + 5) ≤ 0

x + 5 ≤ 0

x ≤ 0 - 5

x ≤ -5

Combining the inequalities together, we have:

-5 ≤ x ≤ 3

Read more on inequality here: https://brainly.com/question/3061666

#SPJ1

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

For more such questions on graphing visit:

https://brainly.com/question/19040584

#SPJ8

Answer:

18

Step-by-step explanation:

That's if the 2 equations are equal

The roots of the given quadratic equation are 5 and -4

Quadratics are the polynomial equation which has the highest degree of 2. Also, called quadratic equations.

Given is an equation 3x²-13x-10 = 0, we need to solve by using completing the square method,

The given equation is =

3x²-13x-10 = 0

3(x²-13x/3-10/3) = 0

3(x²-2x·13x/6-10/3) = 0

Adding and subtracting (13/6)²

3(x²-2x·13x/6+(13/6)²-(13/6)²-10/3) = 0

3[(x-13/6)²-169/36-10/3] = 0

3[(x-13/6)²-289/36] = 0

(x-13/6)²-289/36 = 0

(x-13/6)² = 289/36

Taking roots,

x-13/6 = ±17/6

x = 17/6+13/6

x = 5

Or,

x = -17/6+13/6

x = -4

Hence, the roots of the given quadratic equation are 5 and -4

Learn more about quadratic equation, click;

https://brainly.com/question/30098550

#SPJ9

The total risk of an investment is measured by the variance or, more commonly, the standard deviation of its return. Therefore, the correct answer option is: A. total risk.

In Economics, risk management can be defined as a strategic process which involves the identification, evaluation, analysis and control of potential threats (risks) that are present in a business, project, or system, as an obstacle to its capital, revenues, success, and profits.

In Business management, rate of return can be defined as a net gain (profit) or loss that is associated with an investment over a specified period of time, and it is usually expressed as a percentage of the initial cost of an investment.

In conclusion, the standard deviation or variance of its return is typically used for measuring the total risk of an investment.

Read more on risk here: brainly.com/question/16352505

#SPJ1

Answer:

200

Step-by-step explanation:

\(\frac{2}{5}\) = \(\frac{80}{x}\)

2 x 40 = 80, so

5 x 40 = 200

Answer:

200 houses

Step-by-step explanation:

Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses

Answer:

1/2

Step-by-step explanation:

cuz you take away 2/3 over two and then you get a half simply put

Answer:

12 Assistants

Step-by-step explanation:

If 5 assistants can do same job as 3 specialists. You could say 1 specialist is equivalent to 5/3 Assistants.

So a job 8 specialists can complete in 9 hours. 8*5/3 Assistants can complete the same job in 9 hours.

40/3 Assistants - 9 hours - 1 job

X Assistants   -  10 hours - 1 job

Here if we give assistants more time, fewer assistants will be needed (inversely proportional). Here, the factor or ratio of increase in time from 9 to 10 is 10/9 or 9 * 10/9 = 10.

The number of assistants needed will be 40/3  divided by 10/9 which is

40/3 * 9/10 = 12.

The expression for a in terms of c is \(a^{2}= \sqrt{c^{2} -9}\). The correct option is the third option \(a^{2}= \sqrt{c^{2} -9}\)

From the question, we are to determine the expression for a in terms of c

In the given right triangle, we can write that

\(c^{2} = a^{2} +3^{2}\) (Pythagorean theorem)

Thus,

\(c^{2} = a^{2} +9\)

\(a^{2}= c^{2} -9\)

\(a^{2}= \sqrt{c^{2} -9}\)

Hence, the expression for a in terms of c is \(a^{2}= \sqrt{c^{2} -9}\). The correct option is the third option \(a^{2}= \sqrt{c^{2} -9}\)

Learn more on Pythagorean theorem here: https://brainly.com/question/23994492

#SPJ1