Is a triangle with the angle measurements 46°, 35° and 100° possible?.

Answer:

a. 10560

b. 63360 in.

c. 10000 m

d. 100000 cm

e. 3.107 miles

f. 42.165 km

Step-by-step explanation:

a. 2 miles contain how many feet?

1 mile = 5280 ft

2 miles × 5280 ft / mile = 10560 ft

b. 1 mile contains how many inches?

1 ft = 12 in

1 mile × 5280 ft/mile × 12 in./ft = 63360 in.

c. 10 kilometers contain how many meters?

1 km = 1000 m

10 km × 1000 m/km = 10000 m

d. 1 kilometer contains how many centimeters?

1 km × 1000 m/km × 100 cm/m = 100000 cm

e. How many miles are in a "5k" (five-kilometer) race?

1 in. = 2.54 cm

5 km =

= 5 km × 1000 m/km × 100 cm/m × 1 in. / (2.54 cm) × 1 ft / (12 in.) × 1 mile / (5280 ft)

= 3.107 miles

f. A marathon is 26.2 miles. How many kilometers is this?

26.2 miles =

26.2 miles × 5280 ft / mile × 0.3048 m/ft × km / (1000 m) = 42.165 km

Step-by-step explanation:

answer

Are you clear your doubt with my answer?

Answer:

w = 9/8

Step-by-step explanation:

Step 1: Add 1/2 to each side of the equation.

Step-2: Quickly step to one side, to avoid being injured as the answer jumps up at you from the paper.

Answer:

I cannot see the picture

Step-by-step explanation:

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

11g

Step-by-step explanation:

There is only one five-digit integer, 37000, that satisfies these conditions.

To determine the number of five-digit integers of the form 37abc that are divisible by 37, we need to consider the divisibility rule for 37. A number is divisible by 37 if and only if the difference between twice the units digit and the remaining part of the number is divisible by 37. In this case, since we have a five-digit integer of the form 37abc, we can write it as:

37abc = 37000 + 100a + 10b + c

Now, let's consider the three given numbers and analyze their divisibility by 37:

37abc:

For 37abc to be divisible by 37, we need the difference between twice the units digit (2c) and the remaining part (37ab) to be divisible by 37. Therefore, we have the congruence:

2c ≡ 37ab (mod 37)

Since 37 ≡ 0 (mod 37), we can simplify the congruence to:

2c ≡ 0 (mod 37)

This implies that c must be divisible by 37. Since c can take values from 0 to 9 (since it is a digit), we have only one possibility: c = 0.

37bca:

Similarly, for 37bca to be divisible by 37, we have the congruence:

2a ≡ 37bc (mod 37)

Again, simplifying the congruence using 37 ≡ 0 (mod 37), we get:

2a ≡ 0 (mod 37)

This implies that a must be divisible by 37. Since a can take values from 0 to 9, we have only one possibility: a = 0.

37cab:

For 37cab to be divisible by 37, we have the congruence:

2b ≡ 37ca (mod 37)

By using 37 ≡ 0 (mod 37), we can simplify the congruence to:

2b ≡ 0 (mod 37)

This implies that b must be divisible by 37. Again, b can take values from 0 to 9, giving us only one possibility: b = 0.

From the above analysis, we can conclude that the only five-digit integer of the form 37abc satisfying the given conditions is 37000. Therefore, there is only one such integer.

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Complete Question:

Determine the number of five-digit integer 37abc in base 10 such that each of the numbers 37abc,37bca,37cab Is divisible by 37

The probability that a person did not see the ad given that they did not purchase the game is 0.146.

Let A be the event that a person has seen the advertisement, and let B be the event that a person has not purchased the game. We are asked to find the probability P(A' | B), which is the probability that a person did not see the ad given that they did not purchase the game.

We can use Bayes' theorem to calculate this probability:

P(A' | B) = P(B | A') * P(A') / P(B)

Where

We know that 47% of the market has seen the ad, so the probability of not seeing the ad is 1 - 0.47 = 0.53. We also know that 48% of those who see the ad purchase the game, so 52% of those who see the ad do not purchase the game. Finally, we know that 86% of those who have not seen the ad have not purchased the game.

Putting all of this information together, we can calculate:

P(B | A') = 86%

P(A') = 53%

P(B) = P(B | A') * P(A') + P(B | A) * P(A) = 0.52 * 0.47 + 0.14 * 0.53 = 0.3111

Substituting these values into Bayes' theorem, we get:

P(A' | B) = (0.86 * 0.53) / 0.3111 = 0.146 (rounded to three decimal places)

Therefore, the probability that a person did not see the ad given that they did not purchase the game is 0.146.

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Answer:

shortest distance: 1.25 × \(10^7\) km

Explanation:

using Pythagoras theorem:

a² + b² = c²

c² = (1.2 x    \(10^7\))² + (3.5 x \(10^6\) )²

c² = \(1.44 * 10^{14}\) + \(1.225 * 10^{13}\)

c² = 1.5625 * \(10^{14}\)

c = √12500000

c = 1.25 *  \(10^7\) ______in standard form.

The probability that a randomly selected gas station in Russia charges more than the mean price in the United States is quite low.

This is because the prices of gas in Russia are typically much lower than the mean price of gas in the United States. The average cost of gasoline in Russia is around $0.50 per liter while in the United States, the average price of gas is around $1.78 per liter.

To explain further, the cost of living in Russia is lower than the cost of living in the United States. This means that there is more disposable income for people living in Russia and as a result, the price of gas is much lower than in the United States.

In addition, the cost of transportation and other production costs are lower in Russia than in the United States, which also keeps the prices of gas in Russia lower.

All of these factors make it unlikely that a randomly selected gas station in Russia would be charging more than the mean price in the United States.

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Answer:

19 shows direct variation

20 does not (guessing for this one a bit)

19- Shows a steady increase of four in y for each one in x

20- Shows no increase

Step-by-step explanation:

19 is a constant increase by 4, 20 does not show either

Option B is correct,  transformations map the strip pattern onto itself is horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180-degree rotation.

A horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180-degree rotation.

These transformations preserve the strip pattern and keep it identical to the original pattern.

A horizontal translation shifts the pattern horizontally, reflections across vertical and horizontal lines reflect the pattern across those lines, a glide reflection is a combination of a translation and a reflection, and a 180-degree rotation rotates the pattern by 180 degrees while keeping the same orientation.

Hence, option B is correct

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Answer:

3k

Step-by-step explanation:

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Answer:

You didn;t give any choices??

Step-by-step explanation:

The equation of the perpendicular line is 5x - 3y = 15

The complete question is added as an attachment

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

The points on the line are

(-3, 2) and (2, -1)

So, the slope (m) is

m = (-1 - 2)/(2 + 3)

Evaluate

m = -3/5

The equation of the perpendicular line is then calculated as

y = -1/m(x - x1) + y1

Where

(x1, y1) = (3, 0)

So, we have

y = 5/3(x - 3)

This gives

3y = 5x - 15

Rewrite as

5x - 3y = 15

So, the equation is 5x - 3y = 15

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The concept of independent assortment is one of the fundamental principles of genetics that was first proposed by Gregor Mendel. According to Mendel's postulate of independent assortment, the alleles of different genes segregate independently of one another during the formation of gametes. This means that the inheritance of one trait does not affect the inheritance of another trait.

To test this postulate, Mendel conducted numerous experiments on pea plants and observed that the inheritance of different traits followed a predictable 1:2:1 ratio. This ratio indicated that the alleles for each trait were segregating independently of each other.

Overall, the content loaded Mendel's postulate of independent assortment is an important concept in genetics that helps explain how genetic variation is generated. The 1:1:1:1 testcross ratio is one of the many ways in which this postulate can be tested and supported.

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Answer:

Answer is M

Step-by-step explanation:

Add 1 to both side

6x-1+1>17+1

6×>18

6/6×>18

×>3

Answer:  1406.25 square meters

Step-by-step explanation:

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

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Question:

Find f(g(x)) and g(f(x)) 1. F(x) = X-5 g(x)=x²-1​

Solution:

Let f(x) = x-5 and g(x) =x²-1​. Then:

then, we can conclude that:

On the other hand:

this is equivalent to:

this is equivalent to:

then, we can conclude that:

Then, the correct answer is:

and

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

5 boxes

Step-by-step explanation:

multiply the crayons (7) by the number of children (8) to see how many crayons are need (56). Then dived that by how may crayons come in a box(12). that gives you 4.6 so round that up and your are left with the answer 5 . 5 boxes

1) Let's solve this Linear System, using the method of Elimination/Addition

-x+y=-7 Multi

4x+4y = 20

Answer:

The answer is c

Step-by-step explanation:  

Theater 2 is less than the mean absolute deviation of the data for theater.  

I hope this helps

Answer: C

Step-by-step explanation: if im wrong let me know ill fix

(a) there must be two numbers that differ by 10 and two numbers that differ by 12. This is due to the limited number of possible differences between the selected numbers.

(b) However, it is not necessary for there to be two numbers that differ by 11. An example can be provided to demonstrate this.

(a) According to the Pigeonhole Principle, if there are more pigeons than there are pigeonholes, then at least two pigeons must occupy the same pigeonhole. In this case, the pigeons represent the distinct numbers selected, and the pigeonholes represent the possible differences between the numbers. Since there are 99 possible differences among the first 100 natural numbers, and we are selecting 55 distinct numbers, there must be at least two numbers that have the same difference. Thus, there must be two numbers that differ by 10 and two numbers that differ by 12.

(b) To show that there doesn't have to be two numbers that differ by 11, we can provide an example. Let's consider the set of numbers {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 21, 32, 43, 54, 65, 76, 87, 98, 99, 100}. This set contains 20 numbers, which is less than the required 55 numbers. We can observe that there are no two numbers in this set that differ by 11. Therefore, it demonstrates that it is possible to select fifty-five distinct numbers without having any pair that differs by 11.

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Answer:

y=2/7x+46/7

Step-by-step explanation:

In the slope intercept form.

Answer:

40.8 minutes

Step-by-step explanation:

Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?

The formula to find how long it would take which is the time elapsed is given as:

t = t½ × In(Nt/No)/-In2

t = ?

t½ = 8 minutes

Nt = Amount after the time of decay = 14 grams

No = Original Amount of substances = 480 grams

t = 8 × In(14/480)/-In2

t = 40.796285388407 minutes

Approximately to the nearest tenth = 40.8 minutes

Therefore, it would take the element X, 40.8 minutes to decay to 14 grams

f(x) is an exponential function, so \(f(x) = a\cdot b^x\).

f(11) = 28 tells us    \(28 = a\cdot b^{11}\)

f(5) = 3 tells us        \(3 = a\cdot b^5\)

If we divide those equations, we'd have   

      \(\dfrac{28}{3} = \dfrac{a\cdot b^{11}}{a \cdot b^5}\)

This simplifies to

      \(\dfrac{28}{3} = b^6\)

Take the sixth root of both sides and you have

      \(\sqrt[6]{\dfrac{28}{3}} = b\)    

     (technically it is ±, but b>0 for exponential functions)

Now using that, we have \(f(x) = a\cdot \left(\sqrt[6]{\frac{28}{3}}\right)^x\).

Take a deep breath...

OK, we plug in 5 and 3 one more time to find a.

     \(3= a\cdot \left(\sqrt[6]{\frac{28}{3}}\right)^5\)

Divide by that mess on the left and you'll have a.

    \(\dfrac{3}{\left(\sqrt[6]{\frac{28}{3}}\right)^5}= a\)

And out function is \(f(x) = \dfrac{3}{\left(\sqrt[6]{\frac{28}{3}}\right)^5} \cdot \left(\sqrt[6]{\frac{28}{3}}\right)^x\).

Wow, that's ugly.

You could use exponent rules to simplify this a bit:

     \(f(x) =3\cdot \left(\sqrt[6]{\frac{28}{3}}\right)^{x-5}\)

Now evaluate f(8) by putting 8 in for x and you'll get 9.16515138991, or 9.17 to the nearest hundredth.