Write a word expression for: 12 ÷ 2 + 7

Answer:

Center (7,2); Radius - Square Root of 10

Step-by-step explanation:

Equation for a Cricle:

(x−h)^2 + (y−k)^2 = r^2

Where:

h = x-coordinate of the center of the circle

k = y-coordinate of the center of the circle

r = radius of the circle

For this problem, your h = 7, k = 2, and r = square root of 10

Answer:

(i) 38.9%

(ii) 33.3%

(iii) 0%

Step-by-step explanation:

The total number of sweets is 18.  The probability of picking a color can be determined by dividing the number of each color by the total:

Blue:      5/18 or 27.8%

Red:       7/17 or 38.9%

Green:   6/18 or 33.3%

Yellow:  0/18 or 00.0%

Totals    18/18   100%

Note that the question askes for Yellow sweets, but there are none.

Answer:

x=-4/3, y=3/-5

Step-by-step explanation:

X+2X=-4

Then, adding up we get: 3x=-4

Then, x=-4/3

Substituting those we get: 3*(-4/3)-5y=-1

-4-5y=-1

-5y=-1+4=3

y=3/-5

Thus, x=-4/3, y=3/-5

Answer:

i love you my sweetheart ❤❤❤❤❤❤❤

The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

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Carl deposited 10,000 into the savings account.

We can use the formula for compound interest to solve this problem:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A = the final amount

P = the initial principal (what Carl deposited)

r = the annual interest rate (8%)

n = the number of times interest is compounded per year (2 for semiannual compounding)

t = the number of years (1)

Plugging in the given values and solving for P:

\(10,816 = P(1 + 0.08/2)^{(2\times 1)}\)

\(10,816 = P(1.04)^2\)

10,816 = 1.0816P

P = 10,000

Therefore, Carl deposited 10,000 into the savings account.

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Answer:

5 months

Step-by-step explanation:

Set this up as an equation, using x to represent the number of months, and solve for x

80 + 8x = 60 + 12x

20 + 8x = 12x

An easy way of solving this is putting both equations, 20 + 8x and 12x, into a graphing calculator and finding where they intersect.

x = 5

In 5 months, Xian and Kai will have the same number of stamps.

The sampling distribution is based on the assumption that the null hypothesis is true.

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

A two-tailed test can be defined as a type of hypothesis test in which a rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution.

In this context, we can infer and logically deduce that the sampling distribution is based on the assumption that the null hypothesis is true.

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b) The power of the given problems is: Power = 30556 J/s

c) The Force is:  500 N

The power is:  625 J/s

Power is defined as the rate at which work is done. That is workdone over time taken.

b) The formula for power when given force and velocity is:

Power = Force * velocity

We are given:

Force = 1000 N

Velocity = 110 km/h = 30.556 m/s

Thus:

Power = 1000 * 30.556

= 30556 J/s

c) The formula for workdone is:

W = Force * distance

Thus:

Force = Work/distance

Force = 25000J/50 m

Force = 500 N

The power = wordkdone/time taken

= 25000/40

= 625 J/s

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There are 107 different methods to disembark.

When you mention "no two folks exit on the same floor," I suppose you mean that each of the seven people exits the elevator on a different floor.

The first person can exit the elevator on any of the building's 10 levels, followed by the second person on any of the other 9 floors, and so on.

The total number of ways in which the 7 people can exit the elevator from different floors is 10P7 ways.

The first person, as well as the second, third, and other people, can exit from any of the ten floors, thus we take this into consideration when calculating the overall number of exits. Therefore, there are 107 different methods to disembark.

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

m = 2

Step-by-step explanation:

∠ GLI = 90°

∠ GLH + ∠ HLI = ∠ GLI , that is

9m + 25m + 22 = 90

34m + 22 = 90 ( subtract 22 from both sides )

34m = 68 ( divide both sides by 34 )

m = 2

Then

∠ HLG = 9m = 9 × 2 = 18°

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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Answer:

i like ur pp

Step-by-step explanation:

Answer: (x - 5)^2 + (y - 7)^2 = 50

Step-by-step explanation:

The general equation for a circle is (x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre

Use Pythagoras to find r^2

r^2 = (5 - -2)^2 + (7 - 8)^2

= 7^2 + (-1)^2

= 50

So the circle is (x - 5)^2 + (y - 7)^2 = 50

The size of the sample is 24 and the size of the population is 135.

Sample size is a group of subjects that are selected from the large population and is considered as representative of the real population for that specific research.

In population genetics and population ecology, population size (usually denoted N) is the number of individual organisms in a population

In this particular case, a political scientist surveys 24 of the current 135 representatives in a state's legislature.

The sample is the group of individuals selected from the population,

in this case, the 24 representatives surveyed by the political scientist.

The population is the entire group of individuals that the sample is drawn from, in this case,

the 135 representatives in the state's legislature.

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True, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line.

As given in the question,

Given statement is: Parabola consist of set of all the points which are equidistant from fixed point and fixed line.

Therefore, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line is a true statement.

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Chestnut Hills grew faster with an average growth rate of 1,600 people per decade, while the growth rate for Walnut Park is unknown based on the given information.

The correct answer is option D.

Based on the information provided, we can calculate the average rate of growth for each town and determine which town grew faster.

For Chestnut Hills:

Population in 2001 = 19,800

Population in 2010 = 21,400

Number of years = 2010 - 2001 = 9

Change in population = 21,400 - 19,800 = 1,600

Average rate of growth = Change in population / Number of years = 1,600 / 9 = 177.78 (rounded to the nearest whole number)

For Walnut Park, the graph does not provide specific population values for each year, so we cannot calculate the exact rate of growth. However, based on the given options, we can conclude that the average rate of growth for Walnut Park must be less than 1,600 people per decade, as Chestnut Hills had a growth rate of 1,600 people per decade.

Therefore, the correct answer is: D. Chestnut Hills grew faster. It grew by 1,600 people per decade.

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Answer:

28

Step-by-step explanation:

circle = 360 degrees, the sector is 90 degrees, so it's a 1/4 of the circle. to find area of the whole circle multiply 7 sq inches by 4 ->

area of the circle = 7*4 = 28 sq inch

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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When you enter data into SPSS (Statistical Package for the Social Sciences), each person's data or score is typically entered in its own case or row within the SPSS data file.

SPSS organizes data in a tabular format, where each row represents an individual case or participant, and each column represents a variable or a specific data point associated with that case.

In this format, each case's data is placed in a separate row, ensuring that the information remains distinct and easily identifiable.

For example, if you are collecting data from a survey or an experiment involving multiple participants, each participant's responses or scores would be entered into its respective row in the SPSS data file. This arrangement allows for convenient analysis and manipulation of data using SPSS.

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Answer:

1/3=2/6

1/5=5/10

3/4=6/8

1/4=2/8

3/5=6/10

Step-by-step explanation:

There are 252 odd numbers with the middle digit as 5 and no repeated digits between 20,000 and 69,999.

To determine the number of odd numbers with the middle digit as 5 and no repeated digits between 20,000 and 69,999, we need to consider the possible combinations for the remaining digits.

Since the middle digit is fixed as 5, we have three remaining digits to consider: the thousands digit, hundreds digit, and units digit.

Thousands Digit:

The thousands digit cannot be 0, 5 (as it is the middle digit), or 6 (to stay within the given range). So, we have 7 possible options: 2, 3, 4, 7, 8, and 9.

Hundreds Digit:

The hundreds digit can be any digit from 0 to 9, excluding the already used digits in the thousands and middle positions. So, we have 9 possible options.

Units Digit:

The units digit must be an odd number, excluding 5 (as it is the middle digit) and any digit already used in the thousands and hundreds positions. So, we have 4 possible options: 1, 3, 7, and 9.

By multiplying the number of options for each digit, we obtain the total number of odd numbers meeting the given conditions:

7 (thousands) * 9 (hundreds) * 4 (units) = 252

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Answer:

Step-by-step explanation:

then simplify

Depending on what class you're in, the answer would be different.  if you've talked about tangent lines, then you look for where you'd have the tangent line with the steepest slope.  

Answer:

10,781 voters

Step-by-step explanation:

In election poll, if 4 out of 7 voters will vote for a certain political party, the total voters will be 7 and 3 out of 7 will not vote for the political party

If there are 25 156 voters, we are to find the number of voters that will not vote for that party. Hence the number of people that will not vote is expressed as;

= 3/7 * 25,156

= 75,468/7

= 10,781

Hence approximately 10,781 voters will not vote for the party.

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Answer:

b= -9

Step-by-step explanation:

Plug in -9 for b.

3= -9+12

Solve.

3=3

Since both sides are equal, the answer is -9

I hope this helped you ;)

Answer:

B. y = 1/3x + 4

Explanation:

Given a function whose:

• Slope, m = 1/3

• y-interept, b = 4

To find the equation that describes the function, substitute the given values into the slope-intercept form of a line.

This gives:

The correct equation is option B.

The equation of the circle of radius 4 and center at (-1, 1) is given as follows:

\((x + 1)^2 + (y - 1)^2 = 16\)

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

In this problem:

Hence, the equation is given as follows:

\((x - (-1))^2 + (y - 1)^2 = 4^2\)

\((x + 1)^2 + (y - 1)^2 = 16\)

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