Tessa and marisol run in a 100 meter race. Tessa run at an average speed of 8.1 meters per second. Five seconds after the race, she is 3.5 meters ahead of marisol. To the nearest hundredth of a second, how long will it take Marisol to run the entire race if she does not slow down.

The expression that replaces the heights of the tallest mountain in each continent with the values 8850, 6963, and 6192 is a table with three rows and two columns, containing the continent and its corresponding mountain height in meters.

To replace the heights of the tallest mountain in each continent with the values 8850, 6963, and 6192, an expression is required that can facilitate this transformation.

Which provides a flexible and powerful way to create dynamic web pages.

Language and is used to create web pages that can be displayed on the internet.

To replace the heights of the tallest mountain in each continent with the values 8850, 6963, and 6192, the following expression can be used:

Continent Tallest Mountain Africa 8850 Antarctica 6963 Asia 6192

Here, a table is used to store the data for each continent and its tallest mountain.

The  tag is used to indicate the start of the table, and the  tag is used to indicate the start of a row.

The  tag is used to indicate the header row, while the  tag is used to indicate a data cell.

The data is then entered into the table using the appropriate tags to create the desired layout.

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Answer:

2 11/15

Step-by-step explanation:

Hope this helps please mark brainliest if I helped! Thanks

Answer:

12 hours

Step-by-step explanation:

Let's say that the trainee can do the job in $x$ hours.

Since the trainer is three times faster than the trainee, the trainer can do the same job in $x/3$ hours.

Working together, the trainer and trainee can complete the job in 3 hours, so we can set up the equation:

$$\frac{1}{x}+\frac{1}{x/3}= \frac{1}{3}$$

To solve for $x$, we can first simplify the left-hand side:

$$\frac{1}{x}+\frac{3}{x}= \frac{1}{3}$$

Combining like terms, we get:

$$\frac{4}{x}= \frac{1}{3}$$

Multiplying both sides by $x$, we get:

$$x=\frac{4}{1/3}=12$$

Therefore, the trainee can complete the job in 12 hours.

Answer:

x = 4√7

Step-by-step explanation:

You can use the pythagorean theorem which is a² + b² = c²

if you plug it in, it would be...

x² + 12² = 16²

x² + 144 = 256, subtract 144 to both sides

x² = 112, square root both sides to make x by itself.

x = 4√7  

Step-by-step explanation:

Aa = Ab × 10

that means that for the side lenghts

Sa² = Sb² × 10

Sa = Sb × sqrt(10)

Sa/Sb = sqrt(10)

Pa = 4×Sa

Pb = 4×Sb

Pa/Pb = 4×Sa / 4×Sb = Sa/Sb = sqrt(10) (= sqrt(10)/1)

the ratio of the perimeters is therefore

sqrt(10) : 1

Answer:

9 1/2

Step-by-step explanation:

Add 2 1/2 plus 3 1/2 plus 3 1/2 to get 9 1/2.

The rate of interest for simple compounding if Louis is offered an interest rate of 6.35% for an investment with continuous compounding, is 0.0515 or 5.15%, so option B is correct.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

Eva is offered an interest rate of 5.28% for her savings with simple compounding,

Here, P will be the same, the amount will be the same and the time will be the same,

The amount in simple compounding = The amount in continuous compounding

\(p(1 + r)^t = pe^{Rt}\)

Here, R is the rate of interest for simple compounding,

\(1 + 0.0528 = e^R\)

1.0528 = \(e^R\)

R = ln 1.0528

R = 0.0515

Thus, the rate of interest for simple compounding is 5.15%

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The values that are equal to the sine of angle B are: The cosine of (90° - B) , The sine of (90° - C) .The cosine of B and the cosine of C are not equal to the sine of B.

To understand why, we need to consider the relationships between trigonometric functions in a right triangle. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

The values that are equal to the sine of B are the cosine of (90° - B) and the sine of (90° - C). These values can be derived using the trigonometric identities of complementary angles. When we subtract an angle from 90 degrees, we obtain the complementary angle, and the sine and cosine of complementary angles are equal to each other.

Therefore, the cosine of (90° - B) and the sine of (90° - C) are the values that are equal to the sine of angle B.

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hello, i'm sorry but i can't graph the diagram but here are the answers for a-c :)

A. 8%

B. 39.6%

C. 58.4%

step by step:

A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.

P = 80/1,000

P=0.08*100

P=8%

Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%

B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.

P =396/1000

P=0.396*100

P=39.6%

Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%

C. Calculation to determine the probability if The voter voted in the last presidential election.

P = 584/1,000

P=0.584*100

P=58.4%

Therefore the probability if The voter voted in the last presidential election will be 58.4%

The slope tells us that the cost increases as the number of ordered hats increases.

Given,

A little league baseball team is ordering hats.

The graph shows the relationship between the total cost, in dollars, and the number of hats ordered.

We need to find out what the slope of the graph tells us in this situation.

The slope in a graph tells us the relationships between the data on the x-axis and the y-axis.

The points on the slope give the relationships between the particular point on the x-axis and the y-axis.

The slope tells us the rate of change of y relative to x.

We see that,

If the number of orders of hats is 1, the total cost is $50.

1 order = $50

Similarly,

2 order = $60

3 order = $80

4 order = $90

5 order = $100

6 order = $120

7 order = $130

8 order = $150

9 order = $160

10 order = $170

11 order = $190

We see that as the order of hats increases the cost also increases.

Thus the slope tells us that the cost increases as the number of ordered hats increases.

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Answer:

(x+1)+(3x+1)+(2x+4)=180 (sum od all sode of a triangle is 180)

x+1+3x+1+2x+4=180

6x+6=180

6x=180-6

x=174/6

x=66

Answer:

x = 4

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(3x + 1)² = (x + 1)² + (2x + 4)² ← expand all factors using FOIL

9x² + 6x + 1 = x² + 2x + 1 + 4x² + 16x + 16 , simplify right side

9x² + 6x + 1 = 5x² + 18x + 17 ( subtract 5x² + 18x + 17 from both sides )

4x² - 12x - 16 = 0 ( divide through by 4 )

x² - 3x - 4 = 0 ← in standard form

(x - 4)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 1 = 0 ⇒ x = - 1

However, x > 0 thus x = 4

Answer:

\(1.)\\\frac{{6\choose3}*{10\choose4}}{{16\choose7}}= 36.7133\\2.)\\\frac{{5\choose3}*{11\choose4}}{{16\choose7}}= 28.8462\\3.)\\\frac{{7\choose4}}{{18\choose4}}= 1.1438\\4.)\\\frac{{4\choose4}*{48\choose1}}{{52\choose5}}= .0018\\5.)\\\frac{{13\choose5}}{{52\choose5}} = .0495\\6.)\\\frac{{12\choose4}*{40\choose1}}{{52\choose5}}= .7618\\7.)\\\frac{{4\choose2}*{4\choose2}*{44\choose1}}{{52\choose5}}= .0609\\8.)\\\frac{{4\choose1}*{48\choose4}}{{52\choose5}}= .2995\)

all numbers were intended to % attached at the end, i just don't know how to do it.

The optimization problem can be solved using the Monte Carlo simulation technique by following the steps outlined below.

Step-by-step explanation:

1. Define the objective function: The objective function is given as (1 + ₂)² + 3(1 - ₃)².

2. Determine the decision variables and their bounds: The decision variables in this case are  and ₂, which have the bounds 0 to 1 and 0 to 2, respectively. Additionally, there is a constraint on variable  that it should be between 2 and 3.

3. Generate random values for the decision variables: Generate random values for  and ₂ within their respective bounds, and generate a random value for  within the range of 2 to 3.

4. Evaluate the objective function: Use the generated values to calculate the objective function value.

5. Repeat steps 3 and 4 multiple times: Perform steps 3 and 4 a large number of times to create a Monte Carlo simulation with a sufficient number of samples.

6. Identify the maximum objective function value: Identify the highest objective function value obtained from the simulation.

7. Determine the corresponding decision variable values: Note the values of the decision variables that led to the maximum objective function value.

8. Report the results: Present the maximum objective function value and the corresponding decision variable values as the optimal solution to the problem.

Note: The specific implementation details and code for solving this problem in MATLAB were not provided.

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Answer:

$1165.73

Step-by-step explanation:

We have 395.95+159.95+750+129.95=1435.85. Once we have this, we add the student discount of -25%. This rounds to 358.96. We subtract this from the total and get 1076.89. After the student discount, we add the sales tax of 8.25%. This adds a total of 88.84 to the final amount. After adding this we get a final total of $1165.73

Answer:

(p/3)-3=114

114 plus 3 = 117 (one-third of the novel)

117 x 3 = p = 351 (entire novel)

Step-by-step explanation:

(p/3)-3=114

114 plus 3 = 117 (one-third of the novel)

117 x 3 = p = 351 (entire novel)

The smallest number is x = 11/3. The smallest number in the given ratio of 1:2:3:4:5 whose mean is 11 is 11/3.

Given that the mean of 5 numbers is 11. The numbers are in the ratio 1:2:3:4:5. We need to find the smallest number. We can start solving the problem by following these steps:

Step 1: Let us assume the smallest number to be x.

Step 2: According to the question, the numbers are in the ratio 1:2:3:4:5. Hence, the other four numbers can be written as 2x, 3x, 4x, and 5x.

Step 3: The mean of these 5 numbers is given as 11.

Therefore, we can write:(x + 2x + 3x + 4x + 5x)/5 = 11.

Step 4: Simplifying the above equation, we get:15x/5 = 11x = 11/3.

Step 5: Therefore, the smallest number is x = 11/3.

The smallest number in the given ratio of 1:2:3:4:5 whose mean is 11 is 11/3.

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Step-by-step explanation:

2x+4(3x-13)=4

2x+12x-52=4

14x=4-52

14x=-48

x= -48/14

I think I went wrong somewhere ,so could someone please check

Answer:

The missing value is \(14\).

Step-by-step explanation:

Divide the known denominator by its numerator.

\(4\div2=2\)

Now multiply the quotient by the other numerator (\(7\)).

\(2×7=14\)

or

First, find the factor by which the numerators have been multiplied.

\(2x=7→x=3.5\)

Now, do the same for the denominators.

\(4(3.5)=14\)

Answer:

Hey there!

Using the vertical line test. In a function, one x value only has at most one y value.

Let me know if this helps :)

the domain of the graphed function is D: [-5, 3]

For a function f(x), we define the domain as the set of the inputs of the function.

So, to identify the domain, we need to look a the horizontal axis.

Doing that, we can see that the first value in the horizontal axis is x = -5, and the last value is x = 3.

Notice that in both cases we have solid dots, which means that these values do belong to the domain.

Then the domain of the graphed function is D: [-5, 3]

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The number of students who do not do chores is 12 more than the number of students who do chores.

According to the given two-way table:

|                       | Monthly Allowance | No Monthly Allowance |

|-----------------------|------------------|----------------------|

| Chores                |        2         |          48          |

| No Chores             |       27         |          16          |

To find the number of students who do not do chores, we add up the values in the "No Chores" row: 27 + 16 = 43.

To find the number of students who do chores, we add up the values in the "Chores" row: 2 + 48 = 50.

The number of students who do not do chores is 43, and the number of students who do chores is 50. To calculate the difference, we subtract the number of students who do chores from the number of students who do not do chores: 43 - 50 = -7.

Therefore, there are 7 fewer students who do chores than students who do not do chores.

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Answer:

42.59 km

Step-by-step explanation:

Total distance = 17.9 + 6.03 + 15.66 + 3 = 42.59

Answer:

42.59 km

Step-by-step explanation:

When a question tells you to find the total of something it is usually means you need to add to add decimals you align the decimals and if a number doesn't have a decimal you add .0 on the end then line it up. It also might help to add a 0 in empty spots . Then you move the decimal to the same place in the solution and add like normal.

 17.90

 06.03

  15.66

+03.00

 42.59

For an increase of 6% the multiplier is 1.06

If we have a value A, and we want to increase it by a percentage X, the formula that we need to use to find the new value is:

new value = A*(1 + X/100%)

Where the multiplier is (1 + X/100%).

Here the percentage is 6%, then the multiplier for this case will be:

(1 + 6%/100%) = (1 + 0.06) = 1.06

The new value would be:

new value = A*1.06

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Answer:

= -2

Step-by-step explanation:

-2 -(-7)

= 5

Solving the provided question, we can say that the given exponent is

\(32 = 2^{ 3x - 1 }\) => 64 = \(2^{3x}\) => \(2^{3(2)} = 2^{3x}\) on comparing both side, we have x = 2

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

the given exponent is

\(32 = 2^{ 3x - 1 }\)

64 = \(2^{3x}\)

\(2^{3(2)} = 2^{3x}\)

on comparing both side, we have

x = 2

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Answer:

-2/25

Step-by-step explanation:

Use the slope formula: rise/run to find the slope

Answer:

slope = - \(\frac{2}{25}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 20, 18) and (x₂, y₂ ) = (30, 14)

m = \(\frac{14-18}{30-(-20)}\) = \(\frac{-4}{30+20}\) = \(\frac{-4}{50}\) = - \(\frac{2}{25}\)

Answer:

\(y = 4 \cos(4\pi \: t + \frac{\pi}{4} ) \)

\(y = a\cos(w\: t + \alpha ) \)

\(w = 4\pi\)

\(2\pi \: f = 4\pi\)

\(f = 2\)

Answer:

\(\displaystyle 2\)

Step-by-step explanation:

\(\displaystyle y = Acos(Bx - C) + D\)

When working with a trigonometric equation like this, always remember the information below:

\(\displaystyle Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|\)

So, the first procedure is to find the period of this graph, and when calculated, you should arrive at this:

\(\displaystyle \boxed{\frac{1}{2}} = \frac{2}{4\pi}\pi\)

You will then plug this into the frequency formula, \(\displaystyle T^{-1} = F.\) Look below:

\(\displaystyle \frac{1}{2}^{-1} = F \\ \\ \boxed{2 = F}\)

Therefore, the frequency of motion is two hertz.

I am delighted to assist you at any time.

When determining the size of a fact table, estimating the number of possible values for each dimension associated with the fact table is equivalent to: determining the number of possible values for each foreign key in the fact table.

The measures, metrics, or facts of a business process are contained in a fact table in data warehousing. In a star or snowflake schema, it sits in the middle, surrounded by dimension tables.

When several fact tables are employed, they are organized according to a fact constellation schema. The two types of columns that make up a fact table are typically those that hold facts and those that serve as a foreign key to dimension tables.

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The standard deviation of the sampling distribution, also known as the standard error, measures the amount of variability or uncertainty in the estimates of a population parameter (such as the mean) based on a sample. It is calculated as the standard deviation of the sample means (or other statistics) over all possible samples of the same size from the population.

The standard deviation of each sample distribution, on the other hand, measures the amount of variability or spread within the individual sample itself. It is calculated as the standard deviation of the individual observations within the sample.

In general, the standard deviation of the sampling distribution decreases as the sample size increases, and it is used to estimate the uncertainty of the sample statistics. The standard deviation of the each sample distribution does not change with the sample size.

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The number 8700 written in scientific notation is 8.7 * 10^3

The number is given as:

Number = 8700

The scientific notation is represented as:

a * 10^b

Where a is between 1 and 10 and b is an integer representing the number of zeros

So, we have:

8700 = 87 * 10^2

Express 87 as 8.7 * 10

8700 = 8.7 * 10* 10^2

Evaluate

8700 = 8.7 * 10^3

Hence, the number 8700 written in scientific notation is 8.7 * 10^3

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