IF AT bisects LAS prove that LAT=SAT

Answer:

At the beginning of the 11th day, the mass of the radioactive sample was 201.87 grams.

Step-by-step explanation:

Let's call the mass of the substance after n days "m". We can calculate the mass for each day using the formula:

m = 1300 * (1 - 0.14)^n

Plugging in n = 11:

m = 1300 * (1 - 0.14)^11

m = 1300 * 0.15572634

m = 201.87 grams

So at the beginning of the 11th day, the mass of the radioactive sample was 201.87 grams.

Answer: ion know

Step-by-step explanation: 1 + 2 = 3

The quantity of kilograms of paper that Madelyn's office would have recycled after 4 weeks would be = 28kg

The recycling activities of Madelyn's office in weeks is listed below:

The total quantity of paper recycled for 3 weeks = 21 kg

Then, after 4 weeks would be = xkg

To calculate the unit rate is to find out the quantity recycled per week;

That is,

3 weeks = 21 kg

1 week = X

Make X the subject of formula;

X = 21/3

X= 7 kg

Then if 7 kg = 1 week

X kg = 4weeks

X kg = 7×4/1

= 28 Kilograms

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Answer:

third choice in image. √(16³)

the squareroot of 16 to the third power

Step-by-step explanation:

Fractional exponents tell you that you have roots. Could be squareroot or thirdroot, fourth root, fifth root...etc. You know which because you look at the bottom number (denominator) of the fraction. I use the phrase "down and out" to help remember that the bottom number in the fractional exponent is the "outside number" (index) on the radical sign.

The top number (numerator) of the fraction is an exponent. It can be either inside the radical right there on the shoulder of the 16 or it could also be outside the whole entire radical.

16^ (3/2) = √(16³)  = (√16)³  

The largest a bedroom can be and still be among the smallest 20% of bedrooms in a home is around 271 square feet.

To understand this answer, we have to use the concept of standard deviation, which is a measure of how spread out the data is from the mean. In this case, the average area of a bedroom is 219 square feet, with a standard deviation of 32.5 square feet. To calculate the 20th percentile, we need to find the value of X such that P(X < x) = 0.20, where P(X < x) is the cumulative distribution function of X.

We can use a standard normal table to find the Z-score corresponding to 0.20 and then convert it back to the original scale. The Z-score for 0.20 is -0.84. Therefore, x = 219 + 32.5 * (-0.84) = 271, which is the largest a bedroom can be and still be among the smallest 20% of bedrooms in a home.

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Answer:y=2x-15

Step-by-step explanation:

First, we find the slope of the first line
Slope equation:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Plug-in values

[tex]\frac{6-2}{6-(-2)}[/tex]

=[tex]\frac{4}{8}[/tex]=[tex]\frac{1}{2}[/tex]

Slope=1/2

Remember that parallel lines have the same slope.

Now, we use the slope to get the y-intercept.

We start from (8,-1)

We go up 1 (rise) and right 2 (run), or the opposite of the slope (-1 rise, -2 run).

We get a y-intercept of -5.

Plug into y=mx+b

y=1/2x-5

Answer: a/2

I believe for this problem all they’re asking is how you would write the expression.

Jill should expect an additional 30 to 45 hours of homework each week.

As a general rule of thumb, students can expect to spend 2-3 hours of homework for each hour spent in class. This means that for a 15 credit hour course load, Jill can expect to spend an additional 30 to 45 hours on homework each week.

However, this is just a rough estimate and the actual amount of time required will depend on the difficulty of the courses, the teaching style of the instructors, and the individual study habits and ability of the student. Additionally, some courses may require more time spent on projects, reading, or other assignments that are not factored into this estimate.

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The speed of the air or water increases and its pressure decreases as it circles the longer-path side of the sail or keel. The air or water will attempt to migrate from the side of high pressure to the side of low pressure as it moves along the sail or keel in response to the consequent pressure difference.

Theoretical displacement hull speed is determined by the following equation: velocity in knots = 1.35 x waterline length in feet squared.

Use x to symbolise the slower boat's speed.

Therefore, the faster boat's speed would be x + 20 mph.

They met for 8 hours, hence the distance they travelled overall during that period is depicted as

Distance: (x + 20) * 8 + x * 8

Thus, we have

Distance: 16x plus 160

At twilight, the two boats were separated by 400 kilometres.

The distance equation is as follows.

400 = 16x + 160

Analyze similar terms

16x = 240

multiply by 16

x = 15

Remember that

20 mph faster boat equals x.

Thus, we have

Speedier boat = 15 plus 20

Speedier boat = 35

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Answer:

2½ years

Step-by-step explanation:

I =PxRxT

$625=$5000 x 5/100 x T

$ 625= $250 T

625/250=T

T = 2.5

Answer:

$2.60

Step-by-step explanation:

10% = 0.1

26 times 0.1 = $2.60

So, Chad pays $2.60 tax.

Answer:$28.60-26= 2.60

Step-by-step explanation:

$26 = 100%

sales tax = +10%

total price 26 x 110%

Answer: 13, 21, 34...

Step-by-step explanation: 1+2 = 3, 2+3 = 5, 3+5 = 8, 5+8 = 13, 8=13 = 21, etc.

Answer: Y=1/4x-2. slope intercept form is y=mx+b

we have our b and our m and that’s all we need. so the equation would be y=1/4x-2

Step-by-step explanation:

The predicted number of barrels of crude oil for October is given as follows:

19.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

y = -0.02x² + 0.14x + 19.6.

October is the 10th month, hence the prediction is obtained as follows:

y = -0.02(10)² + 0.14(10) + 19.6

y = 19.

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Answer: Infinitely many solutions

Answer:

Below

Step-by-step explanation:

15x + 3y = 27     divide through by 3 to get

5x + y = 9    <====== this is the same equation as the first one so they are the SAME line ....meaning INFINITE solutions

The unit of measurement for coding the length of lacerations d)centimeters.

Centimeters are the most common unit of measurement used to code the length of lacerations. This is because they are a small enough unit of measurement that they can accurately describe even the smallest of lacerations.

Centimeters are also the most commonly used metric unit of length, making them the most useful when coding lacerations for medical records. In addition, centimeters are a more precise unit of measurement than inches and are accepted internationally as a unit of measurement, making them the best choice when coding lacerations.

Finally, centimeters are consistent units of measurement, making it easy to compare laceration lengths between different patients and different medical records.

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The distance of Main Street is given by the equation D = 319.25 feet

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the distance of Main Street be D

Now , let the triangle be represented as ΔABC

The base of the triangle BC = 300 feet

The hypotenuse of the triangle AC = distance between First avenue and Canal street

The measure of angle ∠BAC = 70°

From the trigonometric relations , we get

sin θ = opposite / hypotenuse

Substituting the values in the equation , we get

sin 70° = 300 / D

Multiply by D on both sides of the equation , we get

D ( sin 70° ) = 300

Divide by sin 70° on both sides , we get

D = 300 / ( sin 70° )

On further simplification , we get

D = 300 / 0.939692

D = 319.2535

D = 319.25 feet

Hence , the distance is 319.25 feet

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If the difference of two numbers is 52 and larger number is six times the smaller number , then the smaller number is 11 , larger number is 63 .

Let  the smaller number be denoted by  "x".

according to the information that, "larger number is three less than six times the smaller number" ;

So,  the larger number can be represented as 6x - 3.

The difference between the two numbers is 52,

that means ; (6x - 3) - x = 52

On Solving for x ;

we get ;

⇒ 5x = 55

⇒ x = 11

Therefore , the smaller number is 11, and the larger number is 6×11-3 = 63.

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Answer:

3

Step-by-step explanation:

A = 3 × (1ft)²

A = 3 × 1 ft²

A = 3ft²

Answer: X= 90

Step-by-step explanation:

There is a 90-degree symbol. So I think X= 90.

Thank you

The total distance between lisle and Linda will be 10.4 kilometers.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that lisle and Linda walk in opposite directions from the same point. lisle walks 0.8 kilometers every 10 minutes, and Linda walks 2.8 kilometers every 30 minutes.

lisle's distance in an hour:-

0.8 x 6 = 4.8 Km

Linda's distance in an hour:-

2.8 x 2 = 5.6 Km

Total distance = 4.8 + 5.6 = 10.4 Km

Therefore, there will be 10.4 kilometers between Lisle and Linda overall.

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Yes, the given statement is true if the variance of the population 'a' is smaller than the variance of population 'b' it represents that population 'b' is more variable than 'a'.

Therefore, the given statement is true for the variance of population 'a' and 'b'.

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Answer:

x = 60°

Step-by-step explanation:

the 'x' angle and the adjacent 120° angle form a straight line

a straight line consists of 180°

A correlational result can be used to infer causality, but only if the value of r is greater than 0.

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The frequency of winning numbers you can match, determines your chance of winning a prize.

The likelihood of earning some money is one if you can match three or more of the winning numbers (certain). However, the probability of winning any prizes is zero if you can only match two or fewer of the winning numbers (impossible).

Probability distribution: The probability that a random variable will take on a specific value or range of values is expressed mathematically as a probability distribution. It is often referred to as a probability mass function or a probability density function (PDF) (PMF). Each result of a random event, such as the roll of a dice, the toss of a coin, or a stock market return, is given a probability by the probability distribution.

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which measure of center can you most accurately estimate from this information: Median

The median divides the data into equal-sized groups. So approximately 50% of the data is above the median and approximately 50% of the data is below the median.

Calculating the median

The median is the value in a data set, implying that half of data focuses have a value more modest or equivalent to the median and half of data focuses have a value higher or equivalent to the median.

For a little data set, you first count the quantity of data focuses (n) and organize the data focuses in expanding request. Assuming the quantity of data focuses is lopsided, you add 1 to the quantity of places and separation the outcomes by 2 to get the rank of the data point whose value is the median.

The rank is the place of the data point after the data set has been organized in expanding request: the smallest value is rank 1, the second-smallest value is rank 2, and so forth.

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the complete question is:

The dotplot above shows the distribution of calf measurements for 507 adults who attend a local gym. The data is divided into equal-sized subgroups with 25% of the adults in each subgroup.

Which measure of center can you most accurately estimate from this information?

1. mean

2. median