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Answer: The speed of Ina in still water is 5mph

Step-by-step explanation:

If the speed of Ina on still water is x, and the speed of the river is y:

The total speed of Ina when she goes along with the current is:

S = x + y

when she goes against the current we have:

St = x - y.

Now we can use the relation:

speed = time/velocity.

along with the current, we have:

x + y = 12mi/2h = 6mi/h

against the current we have:

x - y = 12mi/3h = 4mi/h

So we have the equations

x + y = 6mi/h

x - y = 4mi/h

in the first equation we can isolate x

x = 6mi/h - y

now we replace this in the second equation:

(6mi/h - y) - y = 4mi/h

6mi/h - 2y = 4mi/h

-2*y = 4mi/h - 6mi/h = -2mi/h

y = 1mi/h

now we replace this in the first equation:

x + 1mi/h = 6mi/h

x = 5mi/h.

The speed of Ina in still water is 5mph

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Answer:

  a.  Other than pay the monthly payment, Kyle does not need to do anything.

Step-by-step explanation:

If Kyle plans to make a payment by the 15th of the month, he need do nothing, except make the payment.

If he plans to divide the payment into 3 parts, he needs to contact the bank within a week of the first of the month. If he plans to make a payment after the 15th, he needs to add $75 to it for the late charge.

Answer:

i would think it would be [A Other than pay the monthly payment, Kyle does not need to do anything.]

Step-by-step explanation:

Answer: 43817.5306178

Step-by-step explanation:

Answer:

Step-by-step explanation:

If they are vertical angles, they are equal.

5x - 24 = 3x + 24                      Add 24 to both sides

5x -24 +24 = 3x + 24 + 24       Combine

5x =   3x + 48                           Subtract 3x

5x - 3x = 3x-3x + 48                Combine

2x = 48                                    Divide by 2                                

x = 24

<A =5*24 - 24

<A = 96

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

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

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:i love you

Step-by-step explanation:

If the sum of 3 numbers is 150, then their average is 50. Then if they are consecutive even numbers, then they are 48, 50 and 52. The smallest 48.

Answer:

the smallest of the three numbers is 48

48+50+52 =150

Step-by-step explanation:

smaller number = x

next even number = x+2

next even number = x+4

x+x+2 + x+4 =150

3x+6= 150

3x=144

x= 48

48+2 = 50

48+4 = 52

48+50+52 = 150

Answer:

y = -7/3x + 5

Step-by-step explanation:

7x + 3y = 15

- subtract 7x from both sides

3y = -7x + 15

- divide both sides by 3

y = -7/3x + 5

Answer:

the solution is (3,-5)

Step-by-step explanation:

Graph the points then get the solution

Answer:

the answer(2, -5)

Step-by-step explanation:

hope i helped u

Answer:

x=-2 y=1

Step-by-step explanation:

Eliminating x by multiplying the second equation by 2 then adding the two equations.

2x+5y=-3

-2x+4y=6

________

0+9y=9

9y=9

y=1

using y=1 to get x in the second equation

-x+4*1=6

-x=2

x= 2

Answer:

1/3 left

Step-by-step explanation:

The total sandwich is 1 or in fraction form 6/6

He ate 2/6

6/6 -2/6 = 4/6

Then he ate 2/6 more

4/6 -2/6 = 2/6

He has 2/6 left

Simplifying

2/6 =1/3

Answer:  -159

Step-by-step explanation:

-s3-5st. When s=-3 and t =-2.

in order to find the answer you have to plug in s and t as the given number they gave.

-3x3-5(-3)(-2)  

-9 -(-15)(-10)

= -159

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

Answer:

123

Step-by-step explanation:

Answer:

(35+25)2+3

=(60)2+3

=120+3

=123

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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The measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees

To find the measure of the angle to the nearest degree given trigonometric ratios, we can use inverse trigonometric functions.

Here are the steps to determine the angles:

a) sin A = 0.6018

Taking the inverse sine (arcsin) of both sides:

A = arcsin(0.6018)

Using a calculator, we find A ≈ 36 degrees (rounded to the nearest degree).

b) cos B = 0.9205

Taking the inverse cosine (arccos) of both sides:

B = arccos(0.9205)

Using a calculator, we find B ≈ 23 degrees (rounded to the nearest degree).

c) tan C = 0.0349

Taking the inverse tangent (arctan) of both sides:

C = arctan(0.0349)

Using a calculator, we find C ≈ 2 degrees (rounded to the nearest degree).

Therefore, the measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees.

Note: Trigonometric functions have periodicity, meaning there may be multiple angles with the same trigonometric ratio.

To determine the principal angle within a specific range, we use the inverse trigonometric functions.

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Given the projectile motion of the golf ball, we can find its domain and range below.

Explanation

1) The domain represents the possible values of the variable x

Answer

2) The range represents the possible values of the variable y

Answer:

The mean, median, range, and standard deviation  for the new data set must all be 7 greater than for the original data set.

The mean is the sum of all the values divided by the number of values. Adding the number 6 to the original data set of 30 positive integers increases the sum of all the values by 6, which means the mean for the new data set must be 7 greater than the mean for the original data set.

The formula for the mean is: Mean = (Sum of Values)/(Number of Values)

For the original data set: Mean = (Sum of Values)/30

For the new data set: Mean = (Sum of Values + 6)/31

Therefore, the mean for the new data set must be 7 greater than the mean for the original data set.

The median is the middle value in a set of data. Adding the number 6 to the original data set of 30 positive integers increases the total number of values to 31, which means the median is calculated differently for the new data set than the original data set. The median for the new data set must be 7 greater than the median for the original data set.

The formula for the median is: Median = (n+1)/2

For the original data set: Median = (30+1)/2 = 15.5

For the new data set: Median = (31+1)/2 = 16.5

Therefore, the median for the new data set must be 7 greater than the median for the original data set.

The range is calculated by subtracting the smallest value from the largest value in a data set. Adding the number 6 to the original data set of 30 positive integers increases the largest value by 6, which means the range for the new data set must be 7 greater than the range for the original data set.

The formula for the range is: Range = (Largest Value) - (Smallest Value)

For the original data set: Range = (Largest Value) - 13

For the new data set: Range = (Largest Value + 6) - 13

Therefore, the range for the new data set must be 7 greater than the range for the original data set.

The standard deviation is a measure of how spread out the values in a data set are. Adding the number 6 to the original data set of 30 positive integers increases the total number of values by 1, which means the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The formula for the standard deviation is: Standard Deviation = √ (Sum of (Values - Mean)2 / Number of Values)

For the original data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 30)

For the new data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 31)

Therefore, the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set

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From the table of number of rows and number of flowers is given.

To examine the relationship between the number of rows and flowers,

r is denoted as number of rows .

f is denoted as number of flowers.

From the first coordinate, the number of flowers is 4 times the number of rows.

Similarly in second coordinate, the number of flowers is 4 times the number of rows.

Example,

Substitute the first coordinates to check.

which satisfy the value of flowers.

Hence , the correct option is D which is,

Answer:

3x + 12

Step-by-step explanation:

5x + 6(x - 2) - 8(x - 3) ← distribute parenthesis

= 5x + 6x - 12 - 8x + 24 ← collect like terms

==(5x + 6x - 8x) + (- 12 + 24)

= 3x + 12

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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The examples of boating hazard include dams, sun stroke, and bad weakther.

It should be noted that a hazard simply means a source of potential damage that leads to a adverse effect on one's health.

In this case, the common boating hazards that can be witnessed include fast changing weather, sun stroke and current.

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The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

+70%

Step-by-step explanation:

as more than 7 people wants the building so the probability is 70%

hope it helps you

please mark me as brainlist

Answer: D. 6 3*/2x 2*

Step-by-step explanation:

All of the answer choices you provided involve radicals, which are numbers or expressions that include a square root (or other root) symbol. In order to determine which answer choice is a like radical to the given radical (6 3*/2x), we must compare the coefficients, the indices, and the radicands of each radical.

The coefficient of a radical is the number that appears before the radical symbol, while the index is the number written as a small superscript to the right of the radical symbol. The radicand is the number or expression that is inside the radical symbol.

For the given radical (6 3*/2x), the coefficient is 6, the index is 3, and the radicand is 2x.

With this information in mind, we can compare the answer choices as follows:

A. 6 3*/x - This radical has the same coefficient and index as the given radical, but the radicand is different (it is x instead of 2x). Therefore, this is not a like radical to the given radical.

B. 6 4*/2x - This radical has the same coefficient and radicand as the given radical, but the index is different (it is 4 instead of 3). Therefore, this is not a like radical to the given radical.

C. -5 3*/2x - This radical has the same index and radicand as the given radical, but the coefficient is different (-5 instead of 6). Therefore, this is not a like radical to the given radical.

D. 6 3*/2x 2* - This radical has the same coefficient and index as the given radical, and the radicand is 2x, which is the same as the given radical. However, there is an additional exponent of 2 after the radical symbol, which is not present in the given radical. Therefore, this is not a like radical to the given radical.

Therefore, the correct answer is:

D. 6 3*/2x 2*

The answer to the question is 1/3.

There are three possible outcomes: 5, 6, or 7.

Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.

Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.

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The probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is 1/15 (option a).

Firstly, we need to determine the total number of jelly beans in both bags.

The first bag contains 15 jelly beans (3+5+2+5) and the second bag contains 10 jelly beans (1+7+2).

Therefore, the total number of jelly beans in both bags is 25.

Next, we need to determine the probability of randomly selecting a blue jelly bean from the first bag.

Since there are 5 blue jelly beans out of a total of 15 jelly beans in the first bag, the probability of selecting a blue jelly bean is 5/15 or 1/3.

After selecting a blue jelly bean from the first bag, we move on to the second bag to select a green jelly bean.

Since there are 2 green jelly beans out of a total of 10 jelly beans in the second bag, the probability of selecting a green jelly bean is 2/10 or 1/5.

To determine the probability of both events occurring, we use the multiplication rule of probability.

Therefore, the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is (1/3) x (1/5) = 1/15.

Hence, the answer is option (a) 1/15.

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Here,

We know that,

\( \large \bf \: Distance= \sqrt{(x_2 - x_ 1) {}^{2} + (y_ 2 -y_1) {}^{2} } \)

So ,

Putting the value of x and y in the given formula

We get,

\(\large\sf{ \: = \sqrt{ \{ \: - 1 - ( - 9) \} {}^{2} + (8 - 8) {}^{2} } \: }\)

\(\large\sf{ = \sqrt{(8) {}^{2} + (0) {}^{2} } }\)

\(\large\sf{ \: = \sqrt{64 + 0} }\)

\(\large\sf{ = \sqrt{64} }\)

\(\large\bf \blue { = 8 \: unit}\)

Thus,

\( {\underline {\underline{ \rule{200pt}{8pt}}}}\)

Solution:

Consider the following equation:

Solving for 5p, this is equivalent to:

this is equivalent to:

solving for p, we get:

so that, we can conclude that the correct answer is: