A line passes through the point (3,2) and has a slope of 6. Write an equation in slope-intercept form for this line.

The area of the composite figure is 159.9 cm²

From the question, we are to determine the area of the given composite figure

In the given diagram, the area of the composite figure = Area of triangle + Area of rectangle

First, we will calculate the area of the triangle

Area of triangle = 1/2 × base × height

Thus,

Area of the triangle = 1/2 × 16.4 × 5.5

Area of the triangle = 45.1 cm²

Calculating the area of the rectangle

Area of rectangle = Length × Width

Thus,  

Area of the rectangle = 16.4 × 7

Area of the rectangle = 114.8 cm²

Therefore,

The area of the composite figure = 45.1 cm² + 114.8 cm²

The area of the composite figure = 159.9 cm²

Hence, the area is 159.9 cm²

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Answer:

D. 1/(3^8)

Step-by-step explanation:

^^^This is the answer

Answer:

0.205177 mi

Step-by-step explanation:

Step 1: Find conversions

12 in = 1 ft

5280 ft = 1 mi

Step 2: Use Dimensional Analysis

\(13000 \hspace{2} in(\frac{1 \hspace{2} ft}{12 \hspace{2} in} )(\frac{1 \hspace{2} mi}{5280 \hspace{2} ft} )\)

0.205177 mi

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Let:

n = Total number of bolts = 56

Wb = Weight of each bolt = 7.47 oz

T = Total weight

The total weight will be given by:

Answer:

All bolts weigh 418.32 oz together

When a six sided dice through with the coin all the possible outcomes  are as follows

H-1 H-2 H-3 H-4 H-5 H-6

T-1 T-2 T-3 T-4 T-5 T-6

Probability that she gets an outcome of tails and 2 = 1 / 12

Isabelle flips a fair coin and rells a fair six-sided dice.

Coin has two face H or T

Dice has six face hat is 1, 2, 3, 4, 5, 6  

When a six sided dice through with the coin all the possible outcomes  are as follows

H-1 H-2 H-3 H-4 H-5 H-6

T-1 T-2 T-3 T-4 T-5 T-6

So there are total 12 outcomes possible when a six sided dice through with the coin.

Probability that she gets an outcome of tails and 2 = event occur / total number of events = 1 / 12

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Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

Answer:

Step-by-step explanation:

4/mx

Answer:

b= 4 c=9 this is your answer

Answer:

b = 153

c = 153

Step-by-step explanation:

b + 27° = 180°..(Linear pair angles)

b° = 180° - 27°

b° = 153°

b = 153

c = b (vertical angles)

c° = 153° (since b = 153°)

c = 153

The line of best fit for this set of points is y = -1.00x + 9.00.

Coefficient is a value that is used to indicate the degree or amount of a certain property or characteristic. It is usually used in mathematics and physics, and is a numerical measure of how two variables are related. For example, the coefficient of friction is a number that indicates how much resistance there is between two surfaces when one is sliding over the other. In economics, the coefficient of elasticity is used to measure how much of a change in one variable affects a change in another.

Linear regression is a technique used to find the line of best fit for a given set of points. To use linear regression, we must first calculate the mean of all the x and y coordinates. The mean of the x coordinates is 4, and the mean of the y coordinates is 4.5.

We then calculate the sum of the squared differences between the x and y coordinates and their respective means. This sum is 36.5.

Next, we calculate the sum of the products of the differences between the x and y coordinates and their respective means. This sum is -25.

Using the formula for linear regression, we can calculate the slope of the line of best fit. The slope is -1.00.

To calculate the y-intercept of the line of best fit, we use the slope and the mean of the x and y coordinates. The y-intercept is 9.00.

The line of best fit for this set of points is y = -1.00x + 9.00.

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The missing angles in triangle RST and LMN are 121° and 15° respectively.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The Latin word "angulus," which means "corner," is where the term "angle" originates.

Angle position describes how a line interacts with another line or plane. The amount of rotation of the body relative to the reference position is used to calculate the angle of position.

Theta (), the sign used to represent the angular position, can represent the angle in degrees (°), radians (rads), or revolutions.

So, in the triangle RST:

Missing angle:

44 + 15 + x = 180

x = 180 - 59

x = 121°

In triangle LMN:

121 + 44 + x = 180

x = 180 - 165

x = 15°

Therefore, the missing angles in triangle RST and LMN are 121° and 15° respectively.

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Answer:

1. 6.25 square feet

2. 37.5 square feet

Step-by-step explanation:

25 divided by 4=6.25

6.25x6=37.5

Answer:

Length of his bedroom is 5 Ft

Wall Surface he have in his room is 120 ft^2

Step-by-step explanation:

Answer:

1- Laissez-fare capitalism means that the government reduces its involvement in the economy.

2- In a capitalist system, private investors own most factories and businesses.

3- In a free market, the law of supply and demand determines the price of goods.

Step-by-step explanation:

1- Laissez fare is a French expression that refers to liberal economic policies, in which economic actors have ample freedom to carry out different activities without limitations, regulations or government controls, thereby reducing their participation in the economy.

2- In capitalism, the means of production are owned by the different actors who, through the investment of their capital, acquire them and use them to produce new goods or services. These people, called investors, control these media (factories, industries, companies, etc.) and give jobs to people, who produce for these investors in exchange for a salary.

3- The concept of free market implies an economic system in which there are no government regulations that govern the consumption or production of goods and services in a given territory. Thus, the goods offered, their price and their characteristics are determined exclusively by the market, which through the law of supply and demand (that is, through the price bid between consumers and producers) determines their prices.

Answer:

Salutations :D !

The answers are:

-limits.

-private individuals.

-supply and demand.

Have a lovely day <3

Answer:

$524.30

Step-by-step explanation:

490x107%=524.30

Answer: Hewo, there! your answer is Below

False would be my answer

Step-by-step explanation:

As the sample sizes increase, the variability of each sampling distribution decreases so that they become increasingly more leptokurtic. The range of the sampling distribution is smaller than the range of the original population.

Hope this helps you!!

Have a great day!!!

Answer:

$20 simple interest.

Step-by-step explanation:

The simple interest that Sami earns is 4% of her deposit since she is trying to find how much she will earn in one year (given that the interest rate is 4% per annum).  

\(\$500\times4\%=\$20\)

∴ Sami earns $20 simple interest in one year.

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

Y=300

X= 4

M= 49x9=4

3x4=3

Step-by-step explanation:

Answer:

That image ma small

Step-by-step explanation:

Answer:

thank you for helping your grandson, you seem so nice. the photo's too tiny for me to see so is there another way you could crop it maybe

Step-by-step explanation:

Only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.

In the given question we have to name a point on ∠MNO.

As we know that;

Evaluating the number of points in the curve of the triangle's vertices that are close to the location in question is the easiest method for determining whether a point is inside a triangle. The point on the curve is inside the triangle if it has three points; if it has four, it is outside the triangle.

When we check in the graph then only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.

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Answer:

316 ls the next term greater than 312. in the sequence you are adding 4 to the preceding term

Answer:

answer : 9 feet

Step-by-step explanation:

1 foot is 6 feet and a half foot is 3 feet so add them together.

Answer:

c,

Step-by-step explanation:

have a good day, glad I could help :)

Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

The function representing number of fish each 't' year

n ( t ) = (600t + 500) / ( 0.5t + 1) best defines option A. The number of fish get larger every year , but does not exceed the number 1200.

Let 'n' represents the number of fish.

't' represents the year.

The function representing the number of fish in 't' years is :

n ( t ) = (600t + 500) / ( 0.5t + 1)

Number of cans poured in the lake by farmer is equal to 5

Number of fish in each can = 100

Let t = 1

n(1) = 600(1) + 500 / 1.5

     = 733.33

t= 2

n(2) =  600(2) + 500 / 2

       =850

n(3) = 600(3) + 500 / 2.5

      = 920

Therefore, the function n ( t ) = (600t + 500) / ( 0.5t + 1) best describes the option A. The number of fish get larger every year , but the number does not exceed  1200.

The above question is incomplete, the complete question is:

The wildlife game commission poured 5 cans of fish (each can contained approximately 100 fish) into a farmer's lake. the function n defined by

n ( t ) = (600t + 500) / ( 0.5t + 1) represents the approximate number of fish in the lake as a function of time (in years).Which one of the following best describes how the number of fish in the lake changes over time?

A. The number of fish gets larger each year, but does not exceed 1200.

B. The number of fish gets smaller every year but does not get smaller then 1200.

C. The number of fish gets larger each year, but does not exceed 600.

D. The number of fish gets larger each year, but does not exceed 500.

E. The number of fish gets smaller every year, but does not get smaller than 500.

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Answer:it will take approximately 4.2 hours for the turkey to cool to 100°F

Step-by-step explanation:Newton's law of cooling states that the rate of change of temperature of an object is proportional to the difference between its temperature and the temperature of its surroundings. Mathematically, this can be expressed as dT/dt = k(To - T), where T is the temperature of the turkey, To is the temperature of its surroundings, t is time, and k is a constant of proportionality.

Using the initial temperature of 185°F and the temperature of its surroundings at 78°F, the constant of proportionality can be calculated to be -0.0223/min. This means that the temperature of the turkey will drop by 1°F every 45 minutes.

After 45 minutes, the temperature of the turkey will be approximately 106°F. To cool to 100°F, it will take approximately 4.2 hours.

Answer:

0

Step-by-step explanation:

slope= (y2-y1)/(x2-x1)

= [-2-(-2)]/[9-3]

=[-2+2]/6

=0/6

=0

Hope it helps:)

The answers are explained in the solution.

Given are right triangles, we need to find the missing lengths,

Here we will use Pythagoras theorem,

Hypotenuse² = base² + perpendicular²

1) x² = 5²+2²

x = √25+4

x = √29

2) 6² = x²+4²

x = √36-16

x = √26

3) 25² = x² + √24²

x = √625-576

x = √49

x = 7

Only the 3rd is following the rule of Pythagorean triplet.

Part 2 = The Triangle Inequality :-

The Triangle Inequality (theorem) says that in any triangle, the sum of any two sides must be greater than the third side.

a) 2, 4, 8

2+4 = 6 < 8 [not a triangle]

b) 5, 6, 7

5+6 = 11 > 7

6+7 = 13 > 5

7+5 = 12 > 6

Therefore, it is forming a triangle,

7² = 49

5²+6² = 36+25 = 61

∵ 7² < 5²+6²

Therefore, the triangle is an acute triangle.

c) 6, 8, 15

6 + 8 = 14 < 15 [not a triangle]

d) 9, 12, 15

9 + 12 = 21 > 15

12 + 15 = 27 > 9

15 + 9 = 24 > 12

Therefore, it is forming a triangle,

15² = 225

9²+12² = 81 + 144 = 225

∵ 15² = 9²+12²

Therefore, the triangle is a right triangle.

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35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

The graph that shows the solution to the system of linear inequalities is the Graph D.

Here, we are given first inequality as:

Y > -1/3x + 2

The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (6,0) and (0,2) with shaded region away from the origin ( since it fails zero test)

Second inequality is given by:

y > 2x - 3

The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (3/2,0) and (0,-3) with shaded region away towards the origin ( since it passes zero test). On plotting it's graph, we get the solution.

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