Find the equation of a line that passes through the point (0,5) and has a gradient of 3. Leave your answer in the form y = m x + c.

The slope of a line is -1

What is a line ?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.

A line is a perfectly straight, one-dimensional shape that extends infinitely in both directions and has no thickness. In order to stress that a line has no "wiggles" anywhere along its length, it is occasionally referred to as a straight line or, more formally, a right line (Casey 1893).

y = mx + c

Subtract 3x from both sides of the equation

3y = 18 - 3x

dividing by 3

y = 6 - x

re-ordering we get y = -x + 6

using slope-intercept form ,

the slope m = -1

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By using the concept of profit, it can be calculated that-, Profit for renting 6 bicycles = $157

What is profit?

Profit is a financial gain earned when the revenue from a business activity exceeds the expenses associated with it. This gain is usually measured in monetary terms, but it could also be measured in terms of goods or services. Profit is the main reason why businesses exist and it can be used to reinvest in the business, pay shareholders, purchase new assets, or do other things. Profit is the lifeblood of any business and it is essential for sustaining and growing its operations.

For Daniela’s bicycle business the net profit (in dollars) for renting b bicycles is: P(b)=25b+7.

Number of bicycles Daniela rented = 6

So Profit for renting 6 bicycles = $([tex]25 \times 6 + 7[/tex]) = $157

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The 33rd term of the given Arithmetic progression will be -132.

What is an Arithmetic progression?

A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it.

Given, first term= a1= 28

and, a93 = -432

we know that, a93 = -432

                   a + 92d = -432 (where d is the common difference)

                  28 + 92d = -432

                     92d = -432-28

                             = -460

                       d = -460/92 = -5.

Now, we can find the a33,

               a33 = a + 32d

                       = 28 + (32× -5)

                       = 28-160

                       = -132.

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By means of rigid transformation, the point L' has a y-coordinate equal to 4 / 5.

Herein we find a representation of a line segment on a Cartesian plane, from which we must determine the coordinates of the image of one of its ends (point L' is the image of point L) by means of the following transformation rule, a dilation centered at the origin:

L'(x, y) = k · L(x, y)

Where:

If we know that L(x, y) = (10, 2) and k = 2 / 5, then the coordinates of the  point L' are:

L'(x, y) = (2 / 5) · (10, 2)

L'(x, y) = (4, 4 / 5)

The y-coordinate of point L' is 4 / 5.

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Answer:

nope

Step-by-step explanation:

1 multiplied by 1/2 just equals 1/2 since it's being multiplied by one, it wouldn't matter if you kept multiplying 1/2 either because the numerator will stay the same regardless, and the denominator just gets bigger and bigger since you're multiplying by two. if the numerator wasn't 1 then I'm sure there's a possibility, but in this scenario, it's not.

Answer: You will reach 0

Step-by-step explanation:

Yes, if you start with 1 and repeatedly multiply by 1/2, you will reach 0.

To see why this is the case, let's consider the following sequence of numbers:

1 * (1/2) = 0.5

0.5 * (1/2) = 0.25

0.25 * (1/2) = 0.125

0.125 * (1/2) = 0.0625

0.0625 * (1/2) = 0.03125

As you can see, each time we multiply by 1/2, the result is half of the previous number. Because any number multiplied by 0 is 0, we will eventually reach 0 if we keep multiplying by 1/2.

Therefore, if you start with 1 and repeatedly multiply by 1/2, you will reach 0.

6. Applying the inscribed angle theorem, x = 33

7. m<ABP = 90°.

m<APB = 48°

The tangent theorem states that the tangent of a circle is perpendicular to the radius of that circle and therefore forms a right angle at the point of tangency.

An inscribed angle has a measure that is half the measure of the intercepted arc, according to the inscribed angle theorem.

Therefore:

Question 6:

Based on the inscribed angle theorem,

Measure of arc AB = 2(x + 3) = 2x + 6

108 + 2x + 6 = 180 [semicircle]

Solve for x

114 + 2x = 180

2x = 180 - 114

2x = 66

x = 33

Question 7:

Given that line PB is tangent to circle A, therefore, based on the tangent theorem, the measure of angle ABP = 90°.

m<APB = 180 - 90 - 42

m<APB = 48°

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Answer:

There should be around three teachers.

Step-by-step explanation:

72/24 = 3

or

24 x 3 =72

Another way you could do it is three circles put one dot in each circle until you reach 72.

Hope this helped

The maximum value of e is equal to 2.718.

e

The number e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828 that can be characterized in many ways. It is the base of the natural logarithms. It is the limit of (1 + 1/n)n as n approaches infinity, an expression that arises in the study of compound interest. It can also be calculated as the sum of the infinite series.

The number e itself also has applications in probability theory, in a way that is not obviously related to exponential growth

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Answer:

22 and 12!  i think unless i misunderstood the question

Step-by-step explanation:

Answer:

PROBALLY, A

Step-by-step explanation:

Not entirely sure but translating up 7 units from 5 would be 3x-12

Both means are approximately equal at 1% level of significance.

What is significance level?

A finding has statistical significance in statistical hypothesis testing when it is highly unlikely to have happened given the null hypothesis.

H0: Mean of mean = mean of women

Ha: means of men < mean of women

(Left tailed test)

Since population std deviation is known but sample sizes are small t test is used.

The mean of Men minus Women equals -5.00

standard error of difference = 2.201

t = 2.2721

df = 53

p value= 0.0136

since p >0.01 at 1% significance level we fail to reject H0.

Both means are approximately equal at 1% level of significance.

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Answer: 63

Step-by-step explanation:

Let's start with what we know. A straight line measures an angle of 180. So, at point m, we have one degree measuring 118. We do:

180 - 118 = 62

So, 62, is the angle in the corner.

We also know that the sum of the angles in a triangle = 180 so:

10x - 2 + 62 = 180

10x + 60 = 180

10x = 120

x = 12

So angle K is 63.

(Hope this is correct)

Answer: Ok so the slope is always going to be m and the y intercept will be the b.

Step-by-step explanation: For example the slope form in y=mx+b. Whatever is in that b spot is going to be the y-intercept. So for number one on exercise 7 the slope will be 2/3 and the y- intercept will be -4. Same for number 2 remember take your time and know that m is the slope and b is your y-intercept. I really hope this helps you.

Answer:

Step-by-step explanation

To find the amount of rain the meteorologist predicted, start by listing the key information from the problem.

The actual amount of rain was 1.5 inches.

The meteorologist's prediction was 20% less than that. This is the percent error.

First, find the amount of error. It is 20% of the actual amount of rain.

0.21.5=0.3

So, the amount of error in the meteorologist's prediction is 0.3 inches. Since the predicted amount was less than the actual amount, subtract 0.3 from the actual amount of rain.

1.5–0.3=1.2

The meteorologist predicted 1.2 inches of rainfall.

You could also find the meteorologist's rainfall prediction by finding 80% of the actual amount of rain.

0.81.5=1.2

The amount of rainfall the meteorologist predict is 1.2 inches

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

Amount of rainfall = 1.5 inches

Prediction = 20% less than the amount of rainfall

These parameters imply that:

Prediction = Amount of rainfall * (1 - Percentage less)

Substitute the known values in the above equation, so, we have the following representation

Prediction = 1.5 * (1 - 20%)

Evaluate

Prediction = 1.2

Hence, the prediction is 1.2 inches

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The correct interpretation of this confidence interval is that "we are 90% confident the population mean is in this interval." This means that if we were to repeat the sampling process many times, we would expect that 90% of the resulting confidence intervals would contain the true population mean.

The formula for profit is:

P = I - E

Where,

Income = I

Expenses = E

Profit = P

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Income = I

Expenses = E

Profit = P

Now,

Profit = Income - Expenses.

P = I - E

Thus,

The formula for profit is:

P = I - E

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Answer:

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

So, the possible solution can be x = 20, y = 1.20

(1) The inequalities can be written as:-

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

(2) The possible solution for the value of x and y can be x = 0.30, y = 1.20.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that Abigail owns a food truck that sells tacos and burritos. She only has enough supplies to make 130 tacos or burritos. She sells each taco for $3 and each burrito for $6. Abigail must sell no less than $600 worth of tacos and burritos each day.

The inequalities can be written as:-

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

The two inequalities can be solved as:-

x + y = 1.50 or x= 1.50 - y

4x + 6.5y = 780

4( 1.5 - y ) + 6.5y = 780

6 - 4y + 6.5y = 780

y = 1.20

The value of x will be,

x= 1.50 - y

x= 1.50 - 1.2

x = 0.30

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Answer:

since the arcs are made on top and bottom of the line ,so by joining both the points of intersection of the arc we get a perpendicular bisector of the line

therefore , it is option d) the perpendicular bisectorof line MN

Each tube costs $15.17 to the group of friends when they rent 15 tubes for floating down near the Ichetucknee River. The procedure is as follows:

Given, the cost of each tube; 15 tubes would cost $277.50 to rent.

Consequently,

                                                      =22750 pennies

The expense of one tube= (22750/15)cents

                                          =1516.7 pennies

                                          = $15.17

The expense split technique is a method used to distribute the cost of a shared expense among a group of individuals. It involves dividing the total cost of the expense by the number of people in the group to calculate each person's share of the cost.

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The solution of the linear inequation -8 - 4x > 1 is x < [tex]-\frac{9}{4}[/tex]

-10 satisfies the given linear inequation

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤

A one degree inequation is known as linear inequation.

The given linear inequation is

-8 - 4x > 1

Now,

-8 - 4x > 1

-4x > 1 + 8

-4x > 9

x < [tex]-\frac{9}{4}[/tex]

-10 satisfies the given linear inequation

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Answer: the data suggests that playing video games has a negative effect on academics. I think this because the more time spent playing video games the less time spent doing homework

Answer:

3a - 2b = -3

Step-by-step explanation:

= (3) (3) - (6) (2)

= 9 - 12

= -3

Answer:

Step-by-step explanation:

3(3)- (6)2

9-12

-3

The amount of income tax withheld each week is $350.

In the question ,

it is given that ,

the total gross taxable income every week is = $1166 ,

we know that the percent tax is = 30% ,

and their is no other source of income

So the income tax will be = 30% of total gross taxable income .

Substituting the value of gross taxable income ,

we get ,

income tax = 30% × 1166

= 0.30 × 1166    ...because 30% = 0.30

Simplifying further ,

we get ,

= 349.8

≈ 350

Therefore , amount of income tax withheld is $350 .

The given question is incomplete , the complete question is

You earn $1,166 gross taxable income every week, and have claimed no exemption. Assuming that you have no other source of income, what is the amount of income tax withheld each week ?

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The critical ratio (cr) will be less than one if the amount of work left is larger than the amount of time left.

In a work center, the critical ratio is a rule of thumb used to prioritize jobs that need to be processed (CR). The remaining shop time is divided by the equation (due date - today's date), and the result is the CR priority index number. When sequencing according to these criteria, the job with the lowest CR is put on the schedule first. a dispatching rule that generates a priority index number by dividing the amount of time remaining before the deadline by the estimated amount of time required to accomplish the job. Ratios below 1.0 are frequently thought of as being behind schedule, whereas ratios over 1.0 are thought of as being ahead of time. Critical ratio (CR) = CPI x SPI

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The scores needed in order to score in the highest 5% of the GMAT are given as follows:

At least 711.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation of GMAT scores are given as follows:

µ = 527, σ = 112.

The highest 5% of scores are composed by scores of the 95th percentile and above, hence the minimum score is X when Z = 1.645.

Then:

1.645 = (X - 527)/112

X - 527 = 1.645 x 112

X = 711.

The mean and the standard deviation of scores are given as follows:

µ = 527, σ = 112.

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Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

[tex]GDP = 11(1.0220)^{t}[/tex]

We can also see that the exponential model formula given by: governs this formula.

[tex]GDP = 11(1.0220)^{t[/tex]

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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Answer:

For two triangles to be congruent, SAS theorem requires two sides and the included angle of the first triangle to be congruent to the corresponding two sides and included angle of the second triangle. If the congruent angles are not between the corresponding congruent sides, then such triangles could be different.

hope that helps

Step-by-step explanation:

Answer: a= 4.5 miles per hour

b= 9 miles

A. 1/2 x 2 = 1 hour so 2 1/4 x 2 = 4.5 miles  

B. 1/2 and hour x 4 = 2 hours so 2 1/4 miles x 4 = 9 miles

Answer:

Step-by-step explanation:

A system of equation can be solved in several ways, which includes the use of graphs

The solution to the system of linear equations is (3,2)

The system of equations is given as:

See attachment for the graphs of    and .

From the attachment, the point of intersection of the lines of both equations is (3,2)

Hence, the solution to the system of linear equations is (3,2)

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