A line passes through the point (2,8) and has a slope of 7

Answer: I Hope some one helps you out

Step-by-step explanation:Y

1 gram of medicine costs 86 nairas, while a 42-hour workweek results in a salary of 27,090 nairas.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, 12.5g of medicine cost 1,075 nairas.

Since,

Cost of 12.5g medicine = 1075

Cost of 1 g medicine = 1075/12.5

Cost of 1 g medicine = 86 naira

Also given, Someone gets 645 nairas for one hour of work

the total pay for someone who works 42 hours = 645 * 42

the total pay for someone who works 42 hours =  27,090 nairas

therefore, the Cost of 1g of medicine is 86 nairas and the total pay for someone who works 42 hours is 27,090 nairas.

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The equation of the function is: y = 11.5x.

The slope = 11.5 garbage bag per hour.

Y-intercept = 0 bag at 0 hour.

The domain: number of hours

Range of the function: number of garbage bags filled.

138 bags will be filled in 12 hours.

The equation of a function can be written as y = mx + b in slope-intercept form. Here, we have:

Given the graph with the points that represents the number of garbage bags filled as a function of time as:

(6, 69); (5, 57.5); (4, 46); (2, 23); (1, 11.5); (3, 34.5)

Use two points, (6, 69) and (4, 46) to find the slope of the function:

Slope (m) = change in y / change in x = (69 - 46)/(6 - 4)

Slope (m) = 23/2

Slope (m) = 11.5

To find the y-intercept (b), substitute m = 11.5 and (x, y) = (6, 69) into y = mx + b:

69 = 11.5(6) + b

69 = 69 + b

69 - 69 = b

b = 0

To write the equation of the function, substitute m = 11.5 and b = 0 into y = mx + b:

y = 11.5x + 0

y = 11.5x

The slope, 11.5, means 11.5 garbage bags were filled per hour.

Y-intercept is zero, which means no bag was filled at 0 hour.

The domain is the set of the number of hours, while the range of the function is the set of number of garbage bags filled.

To find the number of garbage bags that volunteers fill in 12 hours, substitute x = 12 into y = 11.5x:

y = 11.5(12)

y = 138 bags.

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Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

Cylinder volume:

\(\pi {r}^{2} h = volume\)

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer:

x+2

Step-by-step explanation:

factor and you should get (x+2)(x+1)/(x+1) and then you cancel out the (x+1)

Answer:

The Answer Is True

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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The distance traveled by airplane is 180 miles.

The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°

The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.

Then, the total distance traveled by airplane will be:

= 100 miles + 80 miles = 180 miles.

The speed can be defined as the distance traveled by the total time taken.

Speed = distance/time

Speed = 180 miles/ 1 hour

Speed = 180 miles/60 minutes

Speed = 3 miles per minute

The angle of direction from its origin will be:

tan (x) = 100 miles/80 miles

x = tan⁻¹ ( 100/80)

x = tan⁻¹ ( 10/8) =  tan⁻¹ ( 5/4)

x = 51.34°

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The test statistics do not lie in the rejection so the null hypothesis does not reject.

Here we have the following information:

\(\bar{x}_{1}=25.3, n_{1}=25, s_{1}=9, \bar{x}_{2}=20.5, n_{2}=23, s_{2}=8\)

Here degree of feedom will be

\(df=n_{1}+n_{2}-2=25+23-2=46\)

The critical values of t are: +/- 2.687

Rejection region:

If t < -2.687 and t > 2.687, reject H0

Pooled variance is :

\(s^{2}_{p}=\frac{(n_{1}-1)s_{1}^{2}+\left ( n_{2}-1 \right )s_{2}^{2}}{n_{1}+n_{2}-2}=72.8696\)

The standard error is

\(s_{M_{1}-M_{2}}=s_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}=2.4664\)

and t-statistics will be

\(t=\frac{\bar{x}_{1}-\bar{x}_{2}}{s_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}}=1.946\)

The test statistics do not lie in the rejection so the null hypothesis does not reject.

You cannot conclude...

not

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Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

Answer:

\(y=-\frac{3}{2}x+2\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

12-12(1-75/100)

12-12(25/100)

12-3

9oz

Face Value of Promissory Note: $1,200.00

1. Determine the interest value of the promissory note.

  Interest = Maturity Value - Principal Amount

  Interest = $1,190.03 - Principal Amount

2. Calculate the interest rate for four months.

  Interest Rate = (Interest / Principal Amount) * (12 / Number of Months)

  50% p.a. = (Interest / Principal Amount) * (12 / 4)

3. Substitute the calculated interest rate into the equation and solve for the Principal Amount.

  0.5 = (Interest / Principal Amount) * 3

  Principal Amount = Interest / (0.5/3)

4. Substitute the given maturity value into the equation and solve for the Principal Amount.

  $1,190.03 = Principal Amount + Interest

  Principal Amount = $1,190.03 - Interest

5. Equate the Principal Amounts obtained from steps 3 and 4, and solve for the interest value.

  Interest / (0.5/3) = $1,190.03 - Interest

  Interest = $1,190.03 * (0.5/3) / (1 + 0.5/3)

6. Substitute the calculated interest value into step 2 and solve for the Principal Amount.

  50% p.a. = (Interest / Principal Amount) * (12 / 4)

  Principal Amount = Interest / (0.5/3) * (4 / 12)

7. The Principal Amount obtained from step 6 is the face value of the promissory note.

  Face Value = Principal Amount

Therefore, the face value of the four-month promissory note dated May 20, 2018, with a 70 50% p.a. interest rate and a maturity value of $1,190.03 is $1,200.00.

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Answer:

10080

Step-by-step explanation:

2985÷3=995×11=10080

Answer:

It can produce 32,835 in 11 days.

Step-by-step explanation:

2,985 x 3 =  8,955

2,985 x 3 = 8,955

2,985 x 3 = 8,955

If you add another three, that'll  be 12, so, we'll multiply 2,985 x 2.

2, 985 x 2 = 5,970

Now, Add all of those 4 numbers together,

8,955 + 8,955 + 8,955 + 5,970 = 32,835

Answer:

Autobiographies and memoirs. Diaries, personal letters, and correspondence. Interviews, surveys, and fieldwork. Internet communications on email, blogs, listservs, and newsgroups. Photographs, drawings, and posters. Works of art and literature. Books, magazine and newspaper articles and ads published at the time. Public opinion polls. Speeches and oral histories

Answer:

Divide the first number of the dividend (or the two first numbers if the previous step took another digit) by the first digit of the divisor. Write the result of this division in the space of the quotient. Multiply the digit of the quotient by the divisor, write the result beneath the dividend and subtract it.Jun

Step-by-step explanation:

pls brainlist

Answer:

7/42 and 18/42

Step-by-step explanation:

Answer:

7/42 and 1 8/42

The last row of the table will show the total interest paid, which is approximately $243.11.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

To calculate the total interest paid,

we need to first find out how many months it will take to pay off the entire balance.

We can use the following formula to calculate the number of months:

N = -log(1-(r×b/p))/log(1+r)

where N is the number of months, r is the monthly interest rate (which is the annual percentage rate divided by 12), b is the balance, and p is the payment.

In this case,

r = 0.1799/12 = 0.01499 (monthly interest rate), b = $1,800, and p = $125.

Plugging these values into the formula, we get:

N = -log(1-(0.01499 × 1800/125))/log(1+0.01499) ≈ 16.24

So it will take about 16.24 months to pay off the entire balance.

Using a spreadsheet, we can create a table with the following columns:

Month: 1 to 16

Balance: starting with $1,800 and decreasing by $125 each month

Interest: calculated as the monthly interest rate times the balance

Payment: $125

Total Interest: calculated as the sum of the interest for all previous months

The last row of the table will show the total interest paid, which is approximately $243.11.

Therefore, the value is (C) $243.11.

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Answer: Option C is correct $243.11

Step-by-step explanation: I got it right On the test!!!

The marginal frequency of students who chose dancing is 37.

The correct answer to the given question is option 3.

The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.

Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.

It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.

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The time it will take after 17 repetitions with the learning curve having a rate of 80% is of:

6.19 seconds.

The learning curve formula is an exponential function defined as follows:

\(y = ab^x\)

In which the parameters are listed as follows:

Then y gives the time it takes to make the xth object.

In the context of this problem, the values of the parameters are given as follows:

Then the time needed for the 17th repetition is of:

y = 275 x (0.8)^17 = 6.19 seconds.

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Answer:

A. 15

B. 25.6

C. 41.6

Step-by-step explanation:

You need to divide

Answer:

6 2/3

Step-by-step explanation:

2 1/6 + 4 3/6

6 4/6

6 2/3

Answer:

idk

Step-by-step explanation:

Answer:

w = 30

Step-by-step explanation:

a = lw

l = 2w

a = 2w × w

1800 = 2w × w

1800 ÷ 2 = w × w

900 = w × w

square root of 900 = square root of w^2

(I don't have the symbol for square root)

30 = w

check work:

a = lw

l = 2w

l = 2(30)

l = 60

1800 = 60 × 30

1800 = 1800

correct answer

The domain of a function, is the set of the possible input values, while the range is the set of the function's output values

The domain and the range of f(x) is; A. OD = [0, 3,650], R = [20, 9,145]

Reasons:

The given parameters are;

Amount a person has to pay as membership fee = $20

Amount paid for each movie rented = $2.50

Maximum number of movies that can be rented per day = 10 movies

x = Number of movies that can be rented by Billy next year

f(x) = The amount Billy would pay for renting x movies

Required:

The domain and the range of x

Solution:

The number of days in a year, n = 365 days

The maximum number of movies Billy can rent in a year, R = 10·n

Therefore;

R = 10 × 365 = 3,650

Which gives;

The number of films Billy could rent in a year is 0 ≤ x ≤ 3,650

The amount paid for renting x movies, f(x) = 20 + 2.5·x

From the given domain, we have;

Minimum amount paid, f(0) = 20 + 2.5 × 0 = 20

Maximum amount paid, f(3,650) = 20 + 2.5 × 3,650 = 9,145

The range of the function is therefore, 20 ≤ f(x) ≤ 9,145

The option that gives the domain and the range of the function is therefore;

A. OD = [0, 3,650], R = [20, 9,145]

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The best estimate of how much she will spend on movies and eating out is given as follows:

$162.

The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.

The percentages associated with movies and eating out are given as follows:

The amount that she has left is given as follows:

$300.

Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:

(0.3 + 0.24) x 300 = 0.54 x 300 = $162.

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Answer:

Explanation:

17x − 18 = 2(7x)

17x − 18 = 2(7x)

17x + −18 = 14x

17x − 18 = 14x

17x − 18 − 14x = 14x − 14x

3x − 18 = 0

3x − 18 + 18 = 0 + 18

3x = 18

3x / 3 = 18 / 3

- PNW