I NEED HELP PLS PSSSSSSSSSSSSSSS

a) A function w(t) to represent the amount of water in the pool using the two functions is w(t) = -3t + 5.

b) The pool will leak out the water when w(t)=0.

c) It will take 1.67 hours to leak out all the water from the pool.

d) Yes, functions f(t) and d(t) will intersect on the graphs when the pool stops leaking all the water out.

e) The domain of the functions  f(t), d(t) and w(t) are 0 ≤ t ≤ 1.67.

What are functions?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Subtract the amount flowing into the pool by the amount being drained out the pool to get the amount of water in the pool .

The given functions are -

Flowing: f(t) = t² + 8t + 9.

Draining: d(t) = t² + 11t + 4.

The amount of water in the pool is -

w(t) = f(t) - d(t)

w(t) = t² + 8t + 9 - t² - 11t - 4

w(t) = -3t + 5.

Therefore, the function obtained is w(t) = -3t + 5.

When the condition is w(t) = 0 then, the pool will have leaked all the water.

Plugging in the values -

-3t + 5 = 0.

3t = 5

t = 1.67.

Therefore, the pool will leak all the water in 1.67 hours.

Functions f(t) and d(t) intersect on the graph when all the water of the pool has been leaked. The graph is shown below.

The domain of a function is the set that contains all input values of the function. The input is the time in the given situation, so -

Time cannot be negative, hence t ≥ 0.

When all the water has been drained, everything stops, hence t ≤ 1.67.

Therefore, the domain of the function is 0 ≤ t ≤ 1.67.

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As per the given points in the question, the slope in the simplest form will be equal to 0

Using two of the points on the line you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise and the horizontal change is called the run. The slope equals the rise divided by the run.

Here the given points are (−5,8) and (−11,8)

Hence the required slope of the line is

=   8     -       8

     11 -  [ - 5 ]

=      0      

 - 11 + 5

=        0    

        - 6

= 0

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Answer:

Step-by-step explanation:

Let the speed be x km/h

Let the time be t

In △ADC,

tan30°=

h

xt

​

3

​

1

​

=

h

xt

​

h=  xt

In △ABD,

tan60°=

h

x(6+t)

h=  

x(t+6)

3​

xt=

x(t+6)

3t=6+t

t=3 seconds

∴ total time taken=6+3=9 seconds

Consequently, there is a 0.89736 percent chance or probability that he weighs fewer than 258 kilograms.

Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Here,

we use the z-score algorithm to answer this query.

Score Z = x - μ/σ

x = the raw score

 population mean= μ 

Population standard deviation is σ

Hence,

x = 258, μ = 220, σ = 30

Z = 258 - 220/30

=1.26667

Probability based on the Z-Table:

P(x<258) = 0.89736

Consequently, there is a 0.89736 percent chance that he weighs fewer than 258 kilograms.

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Therefore the correct answer is A. Adam earns $5.25 more per hour than Kim.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Adam earns $186 for 8 hours of work, so his hourly rate is $186/8 = $23.25 per hour

Kim earns $54 for 3 hours of work, so her hourly rate is $54/3 = $18.00 per hour

Kim earns $125 for 7 hours of work, so her hourly rate is $125/7 = $17.86 per hour

Kim earns $216 for 12 hours of work, so her hourly rate is $216/12 = $18.00 per hour

Adam earns $23.25 per hour and Kim earns $18.00 per hour on average.

Adam earns $23.25 - $18.00 = $5.25 more per hour than Kim.

Therefore the correct answer is A. Adam earns $5.25 more per hour than Kim.

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Therefore , the solution of the given problem of algorithm comes out to be when the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."

Algorithms exist to identify, solve, and frequently automate a solution to a particular problem; regardless of the situation, they are essentially problem solvers of expression.

In area of beginning textbooks, algorithms are typically introduced as "a set of phases to solve a problem."

Here,

Alternatively, a Turing computer that halts for all inputs cannot recognize a language for whose membership cannot be determined by an algorithm.

It is known as undecidable language.

There is no Turing Machine for an undecidable language that accepts the language and decides on each input string (TM can make decision for some input string though).

When the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."

Therefore , the solution of the given problem of algorithm comes out to be when the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."

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Answer:

20, yes

Step-by-step explanation:

11+9=20

If he is charged $9 for each guest then it will make a huge impact to the number of guests.

Answer:

Step-by-step explanation:

To solve this equation, we can start by using the logarithm property that states: log(a) - log(b) = log(a/b).

Then, we can apply this property to the left side of the equation:

log (7x+5) - log(x - 1) = log((7x+5)/(x - 1)) = 1

Next, we can rewrite the right side of the equation as:

log((7x+5)/(x - 1)) = log(7x+5) - log(x - 1) = 1

Now, we can use the inverse property of logarithms, which states: log(a) = b, then a = 10^b, to solve for x.

This gives us: (7x+5)/(x - 1) = 10

We can then cross-multiply and simplify to get: 7x+5 = 10x - 10

This equation simplifies to: 3x = -5

Dividing both sides by 3 gives us: x = -5/3

Therefore, the solution to the equation is x = -5/3.

answer:

b+24

step-by-step explanation:

it’s just asking for the sum so add the two values. there are no other integers given other than 24 so the answer is in expression form. hope that helps!

Answer:

  ln(x²y⁵/(5z⁷))

Step-by-step explanation:

You want to condense the logarithmic expression 2 ln(x) + 5 ln(y) - 7 ln(z) - In (5).

The relevant rules of logarithms are ...

  a·ln(b) = ln(b^a)

  ln(ab) = ln(a) +ln(b)

  ln(a/b) = ln(a) -ln(b)

  [tex]2\ln{(x)}+5\ln{(y)}-7\ln{(z)}-\ln{(5)}=\boxed{\ln\left(\dfrac{x^2y^5}{5z^7}\right)}[/tex]

Answer:

Slope=-3.333/2.000=-1.667

X-intercept= -13/5 = -2.60000

Y-intercept= -13/3 = 14.33333

Answer:

c

Step-by-step explanation:

The circumference should equal c = 2π × 8 cm = 50.265 cm . The area should equal A = π × (8 cm)² = 201.06 cm² . To check your results, input the 8 cm diameter in the calculator. The results should also be 50.265 cm and 201.06 cm². which is closest to c

The Truth Table in logic gate is  used to specify the output of the logic gate for all possible combinations of the input signals. , it is the breakdown of all the possible truth values returned by the logical expression.

What is Truth Table ?

The truth table is a tabular representation of all combinations of values for inputs and their respective outputs.

It can be called as a mathematical table which shows all possible outcomes that would occur from all the possible scenarios that are considered as  factual.

Truth tables are generally used for the logic problems as in Boolean algebra and electronic circuits.

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Answer:

Step-by-step explanation:

A truth table for a logic gate is the table that specifies the logic value/state of the output of the gate for all possible combinations of the logic states of all inputs.

Let's take the example of the AND gate with two logic inputs A and B and one output Y.

A    B    Y

0    0    0

0    1     0

1     1     1

1    0     0

This is the truth table for the AND gate.

7th interval is not perfect

7th interval is not perfect

A (real) interval in mathematics is a collection of real numbers that includes all real numbers that fall within any two of the collection's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤ x ≤1. The group of numbers such that 0 < x< 1 and the group of all real numbers are other examples of intervals.

the empty set, any singleton, the set of positive real numbers, the set of nonnegative real numbers, and (set of one element).

Real intervals are the simplest sets whose "length" (or "measure" or "size") is straightforward to define, making them significant in the theory of integration. The Borel measure and ultimately the Lebesgue measure can subsequently be produced by applying the concept of measure to more intricate sets of real numbers.

Interval arithmetic is a broad numerical computing method that automatically generates assured enclosures for all formulas, even in the presence of errors, approximations in mathematics, and arithmetic roundoff.

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There are 23.33 pounds of defective nails should the manager expect the 350-pound delivery to contain.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails.

And, The manager found that 0.3 pounds of nails in the sample were defective.

Since, The manager found that 0.3 pounds of nails in the sample were defective.

Hence, Amount of pounds of defective nails should the manager expect the 350-pound delivery to contain is,

⇒ 350 × 0.3 / 4.5

⇒ 23.33 pounds

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Jasmine can buy a average of 4 binders because the cost of the binders, multiplied by the number of binders she wants to buy, plus the cost of the pens, must not exceed her total budget of $26.

Step 1: Define the variable. Let x represent the number of binders Jasmine can buy.

Step 2: Write the inequality. 5x + 4.75 ≤ 26

Step 3: Solve the inequality. 5x ≤ 21.25

Step 4: Isolate the variable. x ≤ 4.25

Step 5: The maximum number of binders Jasmine can buy is 4.

Let x represent the number of binders Jasmine can buy

5x + 4.75 ≤ 26

5x ≤ 21.25

x ≤ 4.25

Jasmine has a total of $26 to spend on binders and one pack of pens. The cost of the pens is $4.75, and each binder costs $5. To determine the maximum number of binders she can buy. The inequality we need to solve is 5x + 4.75 ≤ 26. We can solve this inequality by first multiplying both sides of the equation by 5, which gives us 5x ≤ 21.25. We can then isolate the variable by dividing both sides of the equation by 5, which gives us x ≤ 4.25. This means that the maximum number of binders Jasmine can buy is 4.

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Answer:

Step-by-step explanation:

The solution is the point where the 2 lines intersect.

If they intersect where x = 1 and y = 2 the solution is (1, 2).

Answer: Choice 2

Step-by-step explanation:

Answer:

(2) y = -2x² + 6x - 6

Step-by-step explanation:

Notice that the only leading coefficient that is negative is in the 2nd equation. Hence, the shape of the parabola will be upside down, making it have a maximum.

Answer:

we get a required sample size of 122.

Step-by-step explanation:

We can use the following formula to calculate the required sample size:

n = (Z * sigma / e)^2

where:

n is the required sample size

Z is the z-score corresponding to the desired confidence level (e.g. for a 95% confidence level, Z = 1.96)

sigma is the standard deviation of the population

e is the maximum error allowed

Plugging in the given values, we get:

n = (1.96 * 0.6 / 0.08)^2 = 121.6

Rounding up to the next integer, we get a required sample size of 122.

The conclusion on if there is convincing evidence that the one detergent is better than the other is; Option D: No, because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.

We are told that, 25 pieces are randomly assigned to be cleaned with detergent A, while the remaining 25 pieces are cleaned with detergent B.

Therefore, we can say that the sample size for both detergent A and detergent B is same. We can also say that the sample is distributed randomly which means that the sample is unbiased (fair).

We are also told that the mean rating for detergent B is found to be significantly less than the mean rating for detergent A.  Since we know that the mean is the average of a set of given numbers, then we can conclude that there is No evidence that the one detergent is better than the other because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.

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Answer:37.68

Step-by-step explanation:

given:

diameter of cylinder =4in.

radius of cylinder=2in.

height of cylinder =3in.

Volume of cylinder=πr^2h

. = 3.14×2×2×3

. = 37.68 in Cube

Answer:

113.1

Step-by-step explanation:

If π= 3.14 And The Equation For This Type Of Problem Is V=πr2h then all you do is do 3.14 times 9 times 4

Where Your Multiplying 3 To Square Of 2 To Get 9, So Take that 3.14 Multiply It By 9 And Then 14, Thus the answer is 113.1

Hope This Helps

The schedule of her course in 120 ways.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

According to the question there are five spaces for different subjects which are arranged in different order so the number of ways are

2(5,4)

= 5 * 4 * 3 *  2

=120 ways

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Answer:

24 WEEKS

BECAUSE IF U MULTIPLY 24X25.50 U WILL GET 612 ADD 42.50 AND U WILL GET 654.50

The two angles measure 90 degrees are called as complementary angles.

What are  complementary angles?

In geometry, complementary angles are defined as two angles whose sum is 90 degrees.

The two angles' complement and supplement are determined by the sum of their measurements. The two angles are said to be complimentary if their combined measurement equals that of a straight angle.

In other words, a right angle results from the combination of two complimentary angles (90 degrees). Angles 1 and 2 are said to be complementary if their sum of angles equals 90 degrees (i.e., 1 + 2 = 90°), and as a result, they are referred to as each other's partners.

two angles that add up to 90 degrees are known as complementary angles. For example, 60° and 30°.

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The x-intercept and the y intercept of the graph of 6x - 3y = 36 are x = 6 and y = -12

How to determine the x-intercept and the y intercept of the graph?

From the question, we have the following parameters that can be used in our computation:

6x - 3y = 36

Set y to 0 to determine the x-intercept

So, we have the following representation

6x = 36

Divide by 6

x = 6

Set x to 0 to determine the y-intercept

-3y = 36

Divide by -3

y = -12

hence, the intercepts are x = 6 and y = -12

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Tim received 8 SMS on Monday, 4 emails on Thursday, and 0.52 of the communications were emails, which is the solution to (a), (b), and (c).

When two sets of data are joined and their frequencies are combined, a composite bar chart is utilized. Two pieces of data—emails and texts—are included in this inquiry, but they both fall under the same heading, "messages." With regard to question (a), it is clear from the diagram that Tim got 8 texts on Monday. In order to answer question (b), we must determine how many emails Tim received on Thursday. To do this, we must look at the bar for Thursday and divide the total number of texts by the total number of messages to determine the number of emails received. 15-11=4, indicating that Tim received 4 emails on Thursday.

given

Tim for five days, total the emails received, and then determine the percentage of emails relative to messages.

Total messages: 14+16+14+15+14=73.

Emails totaled: 6 + 10 + 10 + 4 + 8 = 38

Email to message ratio is equal to 0.52.

Emails made up 0.52 of the messages, therefore.

Tim got 8 texts on Monday, 4 emails on Thursday, and 0.52 of the messages were emails, according to an analysis of the composite bar chart we used to determine the answers to the three questions.

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The complete question is :- The composite bar chart Messages received shows the number of messages Tim received each day for five days.

a) How many texts did Tim receive on Monday?

b) How many emails did Tim receive on Thursday?

c) In total, what fraction of the messages were emails?

Give your answer in its simplest form.

Answer:

[tex](x,y)\rightarrow(0,2)[/tex]

Step-by-step explanation:

[tex]\displaystyle \left \{ {{x+y=2} \atop {y-x=2}} \right.\\[/tex]

Combine system of equations on both sides:

[tex](x+y)+(y-x)=2+2\\2y=4\\y=2[/tex]

Thus,

[tex]x+y=2\\x+2=2\\x=0[/tex]

(x, y) <=>(0, 2)

Step-by-step explanation:

[tex]x + y = 2 \\ y - x = 2 \\ \\ x + (x + 2) = 2 \\ y = x + 2 \\ \\ 2x + 2 - 2 = 2 - 2 \\ y = x + 2 \\ \\ 2x = 0 \\ y = x + 2 \\ \\ x = 0 \div 2 \\ y = x + 2 \\ \\ x = 0 \\ y = 0 + 2 \\ \\ x = 0 \\ y = 2[/tex]

Answers:

=============================================

Explanation:

We have a function since the curve passes the vertical line test. Recall that this test is where we try to draw a single vertical line through more than on point on the curve. Such a task isn't possible in this case.

-----------

On the other hand, the curve does not pass the horizontal line test. It is possible to draw a single horizontal line through more than one point on the curve.

This function is not one-to-one since it does not pass the horizontal line test.

------------

Because the graph isn't one-to-one, the inverse won't be a function. The process of finding the inverse involves swapping x and y; which means we swap from "horizontal line test" to "vertical line test".

The original function failing the horizontal line test would mean the inverse fails the vertical line test.

Answer:

2/3 + 1/6 + 2/8

=(2×8+1×4+2×3)/24

=(16+4+6)/24

=26/24

=13/12

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