fill in the chart
Tons ____
Pounds 1187
Ounces_____

Answer:

96

Step-by-step explanation:

year 1: 6

year 2: 12

year 3: 24

year 4: 48

year 5: 96

Answer:

96

Step-by-step explanation:

Answer: 18 x 100 = 1,800

Step-by-step explanation:

You take the 100 and you remove the 2 zeros and put them at the back of 18 to get your answer.

A person tosses a coin 15 times. In how many ways can he get 3 heads? The answer is 455 ways.

To find the answer, we can use the formula for combinations, which is:
C(n, k) = n! / (k! * (n-k)!)
Where n is the total number of tosses, and k is the number of heads we want to get.
In this case, n = 15 and k = 3, so we can plug these values into the formula:
C(15, 3) = 15! / (3! * (15-3)!)
C(15, 3) = 15! / (3! * 12!)
C(15, 3) = (15 * 14 * 13 * 12!)/ (3! * 12!)
C(15, 3) = 455
So there are 455 ways to get 3 heads when tossing a coin 15 times.

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In this investigation, the dependent variable is the number of fish in the stream and the independent variable is the amount of pollution.

Variables are symbols or names that are used to represent values in a mathematical or scientific investigation. They allow us to describe and analyze patterns and relationships in data.

There are two main types of variables:

1. Independent variables are variables that are manipulated or controlled in an experiment to determine their effect on the dependent variable. The independent variable is also referred to as the predictor variable or the explanatory variable.

2. Dependent variables are variables that are being measured in an experiment and are dependent on the independent variable. The dependent variable is also referred to as the response variable or the outcome variable. It is the variable that is being affected by the independent variable.

The dependent variable is dependent on the independent variable, as changes in the amount of pollution are expected to affect the number of fish in the stream. The goal of the investigation is to determine the relationship between the two variables and see how changes in the amount of pollution affect the number of fish in the stream.

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Answer: 8 mi

Step-by-step explanation: 2*1*4=8

The possible solutions for the inequality are (0, 5), (0, 9), (6.4, 2.6)

What is Linear Inequaliy?

A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It displays data that is not equal in graph form.

Let, Number of Hours walking dogs be x and Number of Hours tutoring be y

The inequalities that can be formed are

x + y ≤ 9

and

9x + 24y ≥ 120

Please refer to the graph attached

So, the cirner points are as follows (0, 5), (0, 9), (6.4, 2.6)

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Answer:

\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)

a. A best-fit line is close to most of the data points.

Best-fit lines help show trends or correlations in data

Best-fit Lines

Best-fit lines attempt to create a line that is close to most data points. This line is a function that can be used to estimate data points that are not a part of the original data set. Additionally, best-fit lines will show the trend of the data. For example, if the slope of the best-fit line is constant, then the data points are directly proportional.

Common Misconceptions

Although best-fit lines can be extremely accurate and helpful, they are not perfect. A best-fit line will attempt to minimize the distance between the line and data points, but it will rarely be perfect. In most cases, there is no way to write a line that will perfectly describe the exact coordinates of each data point.

Additionally, data sets can have any type of correlation. It does not need to be proportional or positive. This means that the slope of a best-fit line can be anything.

Finally, as aforementioned, best-fit lines try to fit the data as much as possible. However, this does not mean that the line has to go through any data points. It is possible for best-fit lines to not go through any data points at all.

The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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48.15 written in words is forty-eight and fifteen hundredths(The second option)

Number system can be defined as a system of writing to express numbers.

In numbering system, the number 48 is in Tens because it falls between 1 to 100

The number 15 comes after the decimal place and also it falls between 1 to 100 which makes it hundredths

Hence, we write the number 48.15 in numbering system as forty-eight and fifteen hundredths in words

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Answer:

B. \(18x^2y^2\sqrt[3]{3xy^2}\)

Step-by-step explanation:

Answer:B10

Step-by-step explanation: When they say the expression 5/12 of 24, they were asking you to divide 5 by 12 and then multiply the amount by 24.

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(Even a brainliest if you feel like it! ;D)

Answer:

10

Step-by-step explanation:

Hello, to do this, simply do 8.16 divided by 12 to get 0.68 cents per pound. 0.68 is your price per pound.

Answer:

Step-by-step explanation:

Give jamila's Mean earning = $24

let her ninth earning be x

we know that mean= (∑sumation of earnings)/number of earnings

\(24= \frac{15+20+ 10+ 12+ 20+ 16+ 18+ 25+x}{9}\)

\(24= \frac{136+x}{9} \\24*9=136+x\\216=136+x\\x=136-216\\x=80\)

Her ninth earning is $80

Answer:

40

Step-by-step explanation:

both angles are corresponding angles which means both are equal

i.e

4x-50 = 2x+30

4x-2x = 50+30

2x = 80

x = 80/2

therefore x = 40

keep smiling

Answer:

Step-by-step explanation:

i think its b daddy

Answer:

∠4 = 110

Step-by-step explanation:

∠3 + ∠5 = 180    {Co-interior angles are supplementary}

2y + 20 + 210 - 4y = 180

2y - 4y + 20 + 210 = 180    {Combine like terms}

-2y + 230 = 180

Subtract 230 from both sides

-2y = 180 - 230

-2y = -50  

Divide both sides by (-2)

  y = -50/-2

y = 25

∠5 = 210 - 4y

      = 210 - 4*25

       = 210 - 100

∠5 = 110

∠4 = ∠5    {Alternate interior angles are equal}

∠ 4 = 110°

Answer:

Step-by-step explanation:

110

Answer:

Perimeter is 16x - 10

Step-by-step explanation:

\({ \sf{perimeter = 2(length + width)}} \\ p = 2 \{(5x - 7) + (3x + 2) \} \\ p = 2(8x - 5) \\ p = 16x - 10\)

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Jocelyn's total grade could be either 73 or 74, depending on the specific odd score she received on the final portion of the test.

We know that Jocelyn scored 17, 20, 18, and 19 on the first four sections of the test. Let's denote her score on the fifth and final section as x. Since Jocelyn scored an odd number on the final portion, x must be an odd number.

To calculate the total grade, we sum up the scores from all five sections:

Total grade = 17 + 20 + 18 + 19 + x

Given that x is an odd number, we can substitute some possible values to determine the potential total grades:

1. If x = 15:

  Total grade = 17 + 20 + 18 + 19 + 15 = 89

2. If x = 17:

  Total grade = 17 + 20 + 18 + 19 + 17 = 91

3. If x = 19:

  Total grade = 17 + 20 + 18 + 19 + 19 = 93

Since we are looking for the possible total grades when Jocelyn scored an odd number on the final portion, the potential total grades could be 89, 91, or 93.

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14. Question wise,

In ΔRST,

∠R=2x+5

∠S=x+1

∠T=7x-16

we know,

∠R+∠S+∠T=180 [sum of 3 angles of a triangle is 180°]

2x+5+x+1+7x-16=180

10x-10=180

10(x-1)=180

x-1=18

x=19

so,

∠R=(2×19)+5=43

∠S=19+1=20

∠T=(7×19)-16=117

15. Question wise,

In ΔABC,

∠A=∠C-13

∠B=4∠C-11

we know,

∠A+∠B+∠C=180 [,,]

∠C-13+4∠C-11+∠C=180

6∠C-24=180

6∠C=180+24

∠C=204÷6=34

so,

∠A=34-13=21

∠B=(4×34)-11=125

16. Question wise,

In ΔJKL

∠K=∠J+9

∠L=2∠J-21

we know,

∠J+∠K+∠L=180

∠J+∠J+9+2∠J-21=180

4∠J-12=180

4∠J=180+12

∠J=192÷4=48

so,

∠K=48+9=57

∠L=(2×48)-21=75

We find that it takes approximately 47 months to recover the initial investment.

To calculate the time it takes to recover the initial investment on a monthly basis, we need to consider the savings in fuel costs and the cost of funds over time.

First, let's calculate the monthly savings in fuel costs by subtracting the average natural gas cost from the fuel oil cost:

Savings in fuel costs = Fuel oil cost - Natural gas cost

= $145 - $60

= $85

Next, let's calculate the present value of the savings in fuel costs over the recovery period. Since the savings occur monthly, we can use the formula for the present value of an annuity:

Present value of savings = Savings in fuel costs * (1 - (1 + interest rate)^(-n)) / interest rate

Where:

Savings in fuel costs is $85 per month

Interest rate is 9% per year, which is 0.75% per month

n is the number of months it takes to recover the initial investment

Now, let's calculate the present value of the savings using the given values:

Present value of savings = $85 * (1 - (1 + 0.0075)^(-n)) / 0.0075

Next, let's calculate the present value of the initial investment using the formula for present value:

Present value of initial investment = Initial investment / (1 + interest rate)^n

Where:

Initial investment is $2500

Interest rate is 9% per year, which is 0.75% per month

n is the number of months it takes to recover the initial investment

Now, let's calculate the present value of the initial investment using the given values:

Present value of initial investment = $2500 / (1 + 0.0075)^n

To recover the initial investment, the present value of savings must equal the present value of the initial investment:

$85 * (1 - (1 + 0.0075)^(-n)) / 0.0075 = $2500 / (1 + 0.0075)^n

To solve for n, we can rearrange the equation and solve for n using trial and error or by using numerical methods.

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Answer: true

Step-by-step explanation:

Trả lời:

86 và 91

Giải thích từng bước:

Cho hai số là x và y. Nếu tổng của chúng là 177, thì;

x + y = 177 ... 1

Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17

Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25

Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:

x-17 = 2/3 (y + 25) .... 2

Từ 1, x = 177-y ... 3

Thay thế 3 thành 2

177-y-17 = 2/3 (y + 25)

160-y = 2/3 (y + 25)

3 (160-y) = 2 (y + 25)

480-3y = 2y + 50

-3y-2y = 50-480

-5y = -430

y = 430/5

y = 86

Vì x = 177-y

x = 177-86

x = 91

Do đó hai số là 86 và 91

A nurse would encourage the following foods for a client with a red blood cell count of 3.2 million cells/cm3:

Iron is essential for the production of hemoglobin, which is responsible for carrying oxygen in the blood. Vitamin C aids in the absorption of iron from plant-based sources.

A diet high in these nutrients can help maintain or improve red blood cell count. In addition to iron and vitamin C, a balanced diet that includes plenty of fruits and vegetables, lean protein, and whole grains is recommended for overall health.

The nurse may also encourage hydration and physical activity as both are important factors in maintaining healthy blood cells.

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The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

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Answer:

\(x\geq -2\)

Step-by-step explanation:

well the values for x are from -2 to ∞

so we can write it as

\(x\geq -2\)

Answer: 25%

Step-by-step explanation:

3/4x=5700

x = 7600

7600 - 5700 = 1900

19/76 = 25/100 which is 25%

Hope this helps!

The demand for these calculators by the students in the instructor's class would likely be inelastic.

Inelastic demand refers to a situation where a change in price has a relatively small impact on the quantity demanded. In this case, the students are required to have a specific type of calculator that only performs basic operations and power/root functions, which are available at a low cost (approximately $1.00-$1.50).

The demand for these calculators is likely to be inelastic because the students have a limited range of options when it comes to meeting the specific requirements set by the instructor. Since more advanced calculators with additional features are not allowed, the students have no alternative but to purchase the approved calculators.

Even if the price of these calculators were to increase, the students would still need to comply with the instructor's guidelines, which creates a situation where the quantity demanded remains relatively unchanged. Therefore, the demand for these calculators in the instructor's class is expected to be inelastic.

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