Write 6,684 feet write in as an integer

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the number of hits Sanchez had. Then Washington had (s+2) hits, and their hit total was ...

  s +(s+2) = 390

  2s = 388 . . . . . . subtract 2

  s = 194 . . . . . . . . divide by 2

Sanchez had 194 hits; Washington had 196.

Answer: 0.06<0.61<0.7

Step-by-step explanation:

The numbers is 0.6< 0.61 <0.7.

It is required to find among the statements is true.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

Given that:

0.7 is largest number among the given integer.

0.61 is 2nd largest number among the given integer.

0.6 is lowest number among the given integer.

∴0.6< 0.61 <0.7.

So, the numbers is 0.6< 0.61 <0.7.

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Answer:

20

Step-by-step explanation:

6p = 120

p = 120/6

p = 20

Answer:

12 cakes.

Step-by-step explanation:

There are 21/3 = 7 slices  from each cake.

84 / 7   = 12.

The required solution for the profits in the year 2020 is $10452958.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

In 1990, the profit of the Gamma company was $11,218,614.

profits fell by $12,189 on average.

According to given question we have

Initial profit P(x)= $11900848

Fall rate= $48263 per year

The year in between  1990<x<2020

The Equation is

P(x)= 11900848 - (x-1990)*48263,

P(2020)= 11900848- 30*48263

= $10452958

Therefore, the required solution for the profits in the year 2020 is $10452958.

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Answer:

what is the question ❓ i don't understand

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.

Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.

Number of tablets = Prescribed dose / Dosage strength per tablet

Number of tablets = 80 mg / 20 mg

Number of tablets = 4 tablets

Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.

Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.

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Using the sample data to test the hypothesis, we have that:

77% of the sample of 1176 adults rated themselves as above average drivers, that is:

\(0.77(1176) = 906\).

Thus, the actual number of respondents who rated themselves as above average drivers is 906.

At the null hypothesis, we test if the proportion is \(\displaystyle \frac{7}{10} = 0.7\), that is:

\(H_0: p = 0.7\)

At the alternative hypothesis, we test if the proportion is greater than 70%, that is:

\(H_1: p \geq 0.7\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

In this problem, the parameters are \(\overline{p} = 0.77, p = 0.7, n = 1176\).

Thus, the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.77 - 0.7}{\sqrt{\frac{0.7(0.3)}{1176}}}\)

\(z = 5.24\)

The p-value of the test is the probability of finding a sample proportion above 0.77, which is 1 subtracted by the p-value of z = 5.24.

Looking at the z-table, z = 5.24 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.

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The predicted population in the year 2030 is 10 people

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

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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The gym's regular monthly rate, r, is $18.50.

Amount is the term used to describe a quantity or size of something. It will stop to used to refer to a numbers of object items or people as well as the measure of money, time and distance.

To solve this problem, we first need to calculate the total amount of money Malik paid for the 3 months. This equals $49.50. We then divide this amount by the number of months that Malik received a discount, which is 3. This yields the discounted monthly rate of $16.50.

Now, we need to find the regular monthly rate, which is equal to the discounted monthly rate plus the amount of the discount. Therefore, the regular monthly rate, r, is equal to $16.50 + $2, or $18.50.

Therefore, the gym's regular monthly rate, r, is $18.50.

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Answer:

C. 88 degrees fahrenheit :)

Step-by-step explanation:

Answer:

5773185

Step-by-step explanation:

There are 110 seats

110 ways to choose the first empty seat

Now there are 109 seats

109 ways to choose the next empty seat

Now there are 108 seats

108 ways to choose the next empty seat

Now there are 107 seats

110*109*108*107=138556440

Now the order of the empty seats doesn't matter so we need to divide by 4!

138556440/ 4!

138556440/ 24

5773185

Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

The worker's utility function can be represented as a combination of consumption and leisure. Let x be the number of hours worked per day, and c be the amount of consumption. Then, the worker's utility can be represented as:

U(c, 24-x) = f(c) + g(24-x)

where f(c) represents the utility from consumption, and g(24-x) represents the utility from leisure. The worker faces a budget constraint that states the amount of income they earn from work must equal their spending on consumption:

wx = pc

This constraint can be used to solve for the optimal combination of leisure and consumption that maximizes the worker's utility. By combining the utility function and the budget constraint, the worker's problem can be formulated as a maximization problem:

Maximize U(c, 24-x) subject to wx = pc

This problem can be solved using techniques such as Lagrangian optimization or constraint optimization to find the optimal values of c and x that maximize the worker's utility. The solution will depend on the specific forms of the functions f and g, as well as the values of w and p.

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Answer:

Step-by-step explanation:

The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:

\(52^2=48^2+x^2\) and

\(2704=2304+x^2\) and

\(x^2=400\) so

x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:

\(52^2=23^2+x^2\) and

\(2704=529+x^2\) and

\(2175=x^2\) so

x = 46.6 feet

Answer:

1/6

Step-by-step explanation:

Use conditional probability:

P(A given B) = P(A and B) / P(B)

P(4 given 3) = P(4 and 3) / P(3)

P(4 given 3) = (1/36) / (1/6)

P(4 given 3) = 1/6

Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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Answer:

7.5 cm²

Step-by-step explanation:

Dimensions of the large ∆:

\( base (b) = 3cm, height (h) = 9cm \)

\( Area = 0.5*b*h = 0.5*3*9 = 13.5 cm^2 \)

Dimensions of the small ∆:

\( base (b) = 2cm, height (h) = 6cm \)

\( Area = 0.5*b*h = 0.5*2*6 = 6 cm^2 \)

Difference between the area of the large and the small ∆ = 13.5 - 6 = 7.5 cm²

Answer:don’t understand number 5??

Step-by-step explanation:

The functions f and g are:

a. f(x) = 1/x

b. g(x) = x + 2

a) To find two functions f and g such that (fog)(x) = 1/(x + 2), we need to determine how the composition of the two functions f and g produces the given expression.

Let's start by assuming g(x) = x + a, where a is a constant. This means that g(x) adds the constant a to the input x.

Next, let's determine the function f(x) such that (fog)(x) results in the desired expression. We have:

(fog)(x) = f(g(x)) = f(x + a)

b) To simplify the expression 1/(x + 2) and make it match f(g(x)), we can consider f(x) = 1/x.

Substituting the expressions for f(x) and g(x) into (fog)(x), we have:

(fog)(x) = f(g(x)) = f(x + a) = 1/(x + a)

Comparing this with the desired expression 1/(x + 2), we see that a = 2. Therefore, the functions f and g are:

a. f(x) = 1/x

b. g(x) = x + 2

Using these functions, we can verify the composition (fog)(x):

(fog)(x) = f(g(x)) = f(x + 2) = 1/(x + 2)

Thus, (fog)(x) = 1/(x + 2), which matches the desired expression.

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The equation shows that x = -1/4 and y = 1/20.

-3x + 5y = 1

12x - 20y = 4

Multiply equation i by 12

Multiply equation ii by -3

-36x + 60y = 13

-36x + 60y = -12

120y = 1

y = 1/20

From equation i, -3x + 5y = 1

-3x + 5(1/20) = 1

-3x + 1/4 = 1

-3x = 3/4.

x = -1/4

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Answer:

570 ft²

Step-by-step explanation:

Basically, you find the area of Juan and Matthew's gardens then add them up.  

First let's find the area of Juan's garden.

Area is equal to length times width (\(a = lw\))

So you do 16 * 12 which equals 192.

Now let's find the area of Matthew's garden.

So you do 18 * 21 which equals 378.

Then you add up both areas.

192 + 378 = 570

Answer: it was be cos4

Step-by-step explanation: 1/2 divided by 3/4 = cos4

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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Answer:

can be sold for a total of $100

Step-by-step explanation:

We can do this, 8+12=20

20x5=100

So, we have to do...

20x5=100$

That means, that there can be 5 Tickets of Adults sold and 5 Tickets of children sold in total for 100 dollars.

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Answer:

The permeter will be 26 units

Step-by-step explanation:

First to find this you need to know what the value of x is to do this I will use the equation 3x - 7 = x + 2

1. add seven to both sides leaving 3x = x + 9

2. Then subtract the 1x from both sides leaving 2x = 9

3. Then divide 9 by 2 which will be 4.5, x = 4.5

Then just plug 4.5 into each x value 4.5 + 2 and 3(4.5) - 7

1. 4.5 + 2 = 6.5

2. 3(4.5) - 7              13.5 - 7 = 6.5

The perimeter of the rectangle below in simplest form will be 4(x - 3).

Length of the rectangle = 3x - 7

Width of the rectangle = x+2

The perimeter of a rectangle is given as 2(length + width). The perimeter of the rectangle given will then be:

= 2(length + width)

= 2(3x - 7) + 2(x + 2)

= 6x - 14 + 2x + 4

= 4x - 12 = 4(x - 3)

Therefore, the perimeter of the rectangle in simplest form will be 4(x - 3).

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The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

Answer:

f(x)=2x³+4x²+5

Step-by-step explanation:

1) the rule of the even function is: f(-x)=f(x)

the rule of the odd function is: f(-x)=-f(x);

2) the function f(x)=2x³+4x²+5 is neither even or odd according to the rules above:

f(-x)= -2x³+4x²+5= -(2x³-4x²-5).