what is the first significant figure in the number 0.00892?

Answer:

y = -7/6x + b

Step-by-step explanation:

Perpendicular lines require the reciprocal of the slope and opposite sign to the original slope. Then, you substitute the x and y coordinates into the equation to find the y-intercept. Done.

y = 6/7x -7     (6,3)

y = -7/6x + b

3 = -7/6(6) + b

3 = -7 + b

7     7

10 = b

y = -7/6x + b

Answer:

see below

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 6/7x. Its slope is (6/7). A line perpendicular to this one will  have a slope of -7/6.

Plug this value (-7/6) into your standard point-slope equation of y = mx + b.

y = -7/6x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.

3 = -7/6(6) + b

To find b, multiply the slope and the input of x (6)

3 = -42/6 + b

3 = -7 + b

Now, add 7 to both sides to isolate b.

10 = b

Plug this into your standard equation.

y = -7/6x + 10

This equation is perpendicular to your given equation (y = 6/7x -7) and contains point (6, 3)

If two lines are parallel to each other, they have the same slope.

The first line is y = 6/7x - 7. Its slope is (6/7). A line parallel to this one will also have a slope of 6/7.

Plug this value (6/7) into your standard point-slope equation of y = mx + b.

y = 6/7x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.

3 = 6/7(6) + b

To find b, multiply the slope and the input of x (6)

3 = 36/7 + b

Now, subtract 36/7 to both sides to isolate b. To make this easier to visualize, convert 3 to have a denominator of 7.

21/7 - 36/7 = b

-15/7 = b

Plug this into your standard equation.

y = 6/7x - 15/7

This equation is parallel to your given equation (y = 6/7x - 7) and contains point (6, 3)

Hope this helps!

Total spent percentage=30+10=40%

Now

\(\\ \sf\longmapsto 40\%\:of 1240\)

\(\\ \sf\longmapsto 0.40(1240)\)

\(\\ \sf\longmapsto 472\)

Total rent for three condos

\(\\ \sf\longmapsto 472+276=752\)

Answer:

3.95 + 0.50 + 4.50 × 2 = 13.45

13.45 × x = 124.70

x = 9

Therefore, she can make 9 shirts.

The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

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The sample size of the data set is the total number of plants in the experiment. The mean is the average of the data set, the standard deviation is the measure of how much the values in the data set vary from the mean, and the standard error is a measure of the accuracy of the mean.

The sample size of the data set is the total number of plants in the experiment and can be determined by counting the total number of plants in the experiment. The mean is the average of the data set and can be calculated by taking the sum of all the values divided by the sample size. The standard deviation is the measure of how much the values in the data set vary from the mean and can be calculated by taking the square root of the sum of all the squared differences divided by the sample size minus one. The standard error is a measure of the accuracy of the mean and can be calculated by taking the standard deviation divided by the square root of the sample size.

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Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

a <= 3

Step-by-step explanation:

The average number of hours worked is not a binomial variable as there is no success or failure in the scenario.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

A variable with two possible forms is said to have a binomial distribution. It could result in success or failure, heads or tail, and yes or no. If a coin is tossed, for instance, it could land on its head or its tail. It is a binomial variable as a result.

Here, there may be more than two values for the typical hours worked. It is not a binomial variable as a result.

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The linear function that predicts the number of calculators sold per week (y) at a price of x dollars is, y = -400x + 46,000

To determine a linear function that predicts the number of calculators sold per week at a certain price, we can use the given information. Let's assign "x" as the price of the calculator and "y" as the number of calculators sold per week.
We have two data points:
At a price of $90, 10,000 calculators are sold per week.
At a price of $85, 12,000 calculators are sold per week.
Using these two points, we can find the slope of the linear function:
Slope (m) = (change in y) / (change in x)
= (12,000 - 10,000) / (85 - 90)
= 2,000 / -5
= -400
Now, let's use one of the data points to find the y-intercept (b):
Using the point (x, y) = (90, 10,000):
y = mx + b
10,000 = -400(90) + b
10,000 = -36,000 + b
b = 46,000
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On solving the provided question, we can say that from the graphs the equation we have \(f(x) = y^2 + 5y -9\)  => f(1/3) = -29/9

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here,

from the graphs the equation we have

\(f(x) = y^2 + 5y -9\\f(1/3) = 1/9 + 5/3 - 9\\f(1/3) = 1 + 15 - 45 / 9\\f(1/3) = -29/9\)

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Step-by-step explanation:

Using the various theorems relating inscribed and external angles to intercepted arcs, we can write the following relations:

  angle A = 1/2(arc BP) . . . . . . . . . . . inscribed angle

  angle A = 1/2(arc CD -arc CP) . . . external angle at tangent/secant

  angle CPD = 1/2(arc CD) . . . . . . . inscribed angle

  angle CPB = 1/2(arc CP) + 1/2(arc BP) . . . . . sum of angles at the mutual tangent

Equating the expressions for angle A, we have ...

  1/2(arc BP) = 1/2(arc CD -arc CP)

Adding arc CP gives ...

  1/2(arc BP +arc CP) = 1/2(arc CD)

Substituting the last two equations for angles from above, this gives ...

  angle CPB = angle CPD

Hence PC bisects angle BPD.

Answer:

4

Step-by-step explanation:

i dont wanna explain but the answer is 4

The 2009 population as a percentage of the 2020 population is 24.00%

The percent increase is the 2020 population compared to the 2009 population is 316.67%

How do we express 2009 population as a percentage of 2020 population?

In order to express 2009 population as a percentage of 2020 population, we simply divide the 2020 population figure by the 2009 population then multiply by 100 to convert to percentage terms as shown below:

2009 population as % of 2020 figure=72000/300,000*100

2009 population as % of 2020 figure=24.00%

In order to determine the percentage increase we divide 2020 population by that of 2009 and deduct 1

percent increase in 2020 population=(300,000/72000)-1

percent increase in 2020 population=316.67%

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Answer:

In 25 years, Tina will have $354,452.86

Step-by-step explanation:

Monthly Contribution - $366.69 (Tina & Employer)

Length of Time in Years - 25

Estimated Interest Rate - 8.1%

Compound Frequency - Monthly

Answer:

multiplication and subtraction

Step-by-step explanation:

4(n-3)

The value of the distance across the sea is 302 feet

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Triangle PRE and triangle POC are similar triangles based on the angle - angle similarity. Hence:

PR / PO = RE/OC

substituting:

x/ (x + 135) = 185 / 335

335x = 185x + 45225

150x = 45225

x = 302 feet

The value of PR is 302 feet

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Answer:

6

Step-by-step explanation:

The diameter is half of the given radius, therefore, split the radius in half.

\(\frac{12\:in^2}{2} = 6\:in^2\)

Answer:

1. half angle

2. x

Step-by-step explanation:

The missing parts of the proof is the variable x.

Trigonometric functions are those functions which are the ratio of the sides of a right angled triangle.

Given,

sin² (x) = [1 - cos (2x)] / 2

We have to prove sin (\(\frac{x}{2}\)) = ± \(\sqrt{\frac{1-cos (x)}{2} }\)

First, we have

sin² (x) = [1 - cos (2x)] / 2

Substituting x/2 in place of x, we get,

sin² (x/2) = [1 - cos (2x/2)] / 2

sin² (x/2) =  [1 - cos (x)] / 2

sin² (\(\frac{x}{2}\)) = \({\frac{1-cos (x)}{2} }\)

Taking square root on both sides,

sin (\(\frac{x}{2}\)) = ± \(\sqrt{\frac{1-cos (x)}{2} }\)

Hence it is proved.

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We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

What is banquet?

A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.

To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.

Let's define the variables:

Let x be the number of adult guests.

Let y be the number of student guests.

Now, let's write the system of inequalities representing the constraints of the situation:

The total number of guests cannot exceed 125: x + y ≤ 125

The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375

To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.

The boundary lines of each inequality are:

x + y = 125 (the line that connects the points (0, 125) and (125, 0))

45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))

To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.

The resulting graph should look like this:

The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

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Answer:

B. Hexagonal is the Correct Answer! <3

Step-by-step explanation:

A triangle is a shape formed when three straight lines meet. All triangles have three sides and three corners (angles).

A hexagon is a polygon with 6 straight sides. It's commonly found in nature, because it's a particularly efficient shape.

Hope this helps!

ANSWER

EXPLANATION

To find the total wattage that the generator needs to supply, we have to find the sum of the power that all the equipment consumes.

Therefore, we have:

That is the total wattage the generator needs to supply.

The solution to the given linear equation is x=1

Linear equations are equations that has a leading degree of 1.

Given the linear equation as shown below;

8x - 5= 2x + 1

Subtract 2x from both sides

8x - 2x - 5 = 2x + 1-2x

6x - 5  = 1

Add 5 to both sides

6x - 5 + 5 = 5 + 1

6x  = 6

Divide both sides by 6

6x/6 = 6/6

x = 1

Hence the solution to the given linear equation is x=1

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Step-by-step explanation:

\( \frac{10}{100} \times 125 = 12.5 \\ 125 - 12.5 = 112.5\)

112.5 £

Answer:

cos theta  = adj / hyp is positive (+/+)

Step-by-step explanation:

In this open interval, the hypotenuse (radius) is always positive, whereas the adjacent side is positive and the opposite side negative.

in this interval:

sin theta = opp / hyp is neg (-/+)

cos theta  = adj / hyp is positive (+/+)

tan theta = opp / adj = (-/+) :  negative

If outcome O₁ has a frequency 4/a, outcome O₂ has a frequency 12/a, and outcome O₃ has frequency 3/a, then the value of a is 19

Frequency of outcome O₁ = 4/a

Frequency of outcome O₂ = 12/a

Frequency of outcome O₃ = 3/a

Let's say 1/a = x

Now, the Frequency of outcome O₁ = 4x

Frequency of outcome O₂ = 12x

Frequency of outcome O₃ = 3x

The sum of the respective frequencies must equal 1.

So, 4x + 12x + 3x = 1

                      19x = 1

x = 1/19

That means that the “a” in the problem is 19.

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We currently have two fractions: y / 1 and (y - 3) / 3.

In both cases, we are only concerned with the denominator. Yes, the numerator will change when we change the denominator, but that will not affect the answer to this question.

As such, we need to find the least common multiple of 1 and 3. That is 3. Therefore, the common denominator is 3.

Hope this helps!

Answer:

660

Step-by-step explanation:

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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The fraction of the original passengers remaining on the bus is 11/21.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

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