If a speed boat capable of traveling 35 mph in Stillwater went 84 mph at the river in three hours what was the average speed of the rivers current?

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

Answer: The correct option is the third one; y=10(0.13)^x

Answer:

vertex is 1, -6

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

To learn more about : finiteness

https://brainly.com/question/32403180

#SPJ8

\( {\bf \red {\huge{answer : }}}\)

The money increased from 600 pounds to 621 pounds.

621 - 600 = 21

so , the money increased more 21 pounds.

\( \pink {\sf{hence , \frac{21}{621} \times 100 }}\)

\( \red{= \frac{21}{\cancel{621}} \times \cancel{100 } }\)

\( \red{= \frac{21}{\cancel{6.21}} \times \cancel{1 } }\)

\( \red{= \frac{\cancel{21}}{\cancel{6.21}} }\)

\( \red{= \frac{3 \frac{79}{207} }{1} }\)

\( \red{= 3 \frac{79}{207} }\)

Therefore , the dog's weight increased by 3 79/207%

Answer:

2.5 days

Step-by-step explanation:

To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.

Given:

15 people working 5 hours per day can make 30 units of the product in 10 days.

From this information, we can calculate the work rate of these 15 people:

Work rate = Total units of the product / (Number of people × Number of hours × Number of days)

Work rate = 30 units / (15 people × 5 hours × 10 days)

Work rate = 0.04 units per person per hour

Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.

Using the work rate formula:

Number of days = Total units of the product / (Number of people × Number of hours × Work rate)

Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)

Number of days = 2.5 days

Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.

The correct answer is:

2.5 days

The length of the shorter leg is 6 centimeters, and the length of the longer leg is x + 14 = 20 centimeters.

Explanation:

Let x be the length of the shorter leg of the right triangle.

According to the problem, the longer leg is 14 centimeters longer than the shorter leg, so its length is x + 14.

We also know that the length of the hypotenuse of the right triangle is 26 centimeters.By the Pythagorean theorem, we have:

x^2 + (x + 14)^2 = 26^2

Simplifying the left side:

x^2 + x^2 + 28x + 196 = 676

Combining like terms:

2x^2 + 28x - 480 = 0

Dividing by 2:

x^2 + 14x - 240 = 0

Factoring:

(x + 20)(x - 6) = 0

Therefore, x = -20 or x = 6.

Since the length of a side cannot be negative, we reject x = -20 and conclude that x = 6.

So the length of the shorter leg is 6 centimeters, and the length of the longer leg is x + 14 = 20 centimeters.

Answer:

m=−2,y=1

Step-by-step explanation:

Answer:

i think its 3

Step-by-step explanation:

Answer:

5(3x+5)

Step-by-step explanation:

Answer:

5(3x + 5)

Step-by-step explanation:

Factor out 5 of 15x + 25 then you'll get your answer.

Hope this helps:)

Answer:

50

Explanation:

The difference is always 5

Answer:

62

Step-by-step explanation:

1st step: arrange your numbers in numerical order:

60, 62, 64

2nd step: count how many numbers you have:

3 numbers

3rd step: if odd, divide by 2 and round up to get the position of the median number:

3 / 2 = 1.5 --> 2

4th step: Go to the second number in the numerical order

60, 62, 64

Answer:

62

Step-by-step explanation:

Given statement solution is :-  For the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.

Regular Pay:

Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:

Regular Pay = Regular Hours x Hourly Rate

Regular Pay = 40 hours x $11.90/hour

Regular Pay = $476

Overtime Pay:

Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.

Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)

Overtime Pay = 13 hours x ($11.90/hour x 1.5)

Overtime Pay = 13 hours x $17.85/hour

Overtime Pay = $231.45

Gross Pay:

Gross Pay is the sum of Regular Pay and Overtime Pay.

Gross Pay = Regular Pay + Overtime Pay

Gross Pay = $476 + $231.45

Gross Pay = $707.45

Therefore, for the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

For such more questions on Pay Calculation for Patricia

https://brainly.com/question/32055117

#SPJ8

The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

for such more question on  total value

https://brainly.com/question/27746495

#SPJ8

The value of "a" after solving the given linear equation -2.6 - 3.4a = 0.12 will be a = - 0.8

As per the question statement, we are supposed to find the value of "a" for the given linear equation -2.6 - 3.4a = 0.12

-2.6 - 3.4a = 0.12

- 3.4a = 0.12 + 2.6

- 3.4a = 2.72

a = (2.72)/(-3.4)

a = - 0.8

Hence, the value of "a" after solving the given linear equation -2.6 - 3.4a = 0.12 will be a = - 0.8

To learn more about linear equation and similar concept, click on the link given below:

https://brainly.com/question/11897796

#SPJ1

Considering the definition of probability, the probability that the selected person is a professor or a male is 81%.

Probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

The union of events, AUB read as "A or B", is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two or both occurs.

The probability of the union of two compatible events is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

In first place, let's define the following events:

You know that the mathematics department of a college has:

So you know:

Then, you have:

Considering the definition of union of eventes, the probability that the selected person is a professor or a male is calculated as:

P(P∪M)= P(P) + P(M) -P(P∩M)

P(P∪M)= 0.66 + 0.49 -0.34

P(P∪M)= 0.81=81%

Finally, the probability in this case is 81%.

Learn more about probability:

brainly.com/question/25839839

#SPJ1

Answer:

45

Step-by-step explanation:

6² + 3²

36 + 9

45

Follow me please

By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

The Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.

ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).

Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

Substituting the given values, we get:

2/c = [ 2ln7 - 2ln1 ] / (7 - 1)

2/c = ln7

c = 2 / ln7

c ≈ 0.909

Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

Learn more about mean on:

https://brainly.com/question/1136789

#SPJ1

Answer:

the answer is 14 for each person

Step-by-step explanation:

there are 5 apples. 10 mangos and 13 oranges so if yo add them all up its 28 and half of 28 is 14 so theres your answer.

im so so sorry i it does happen to be wrong.

The volume of the storage room is the amount of space in the storage room, and it is 720 cubic feet

The dimensions are given as:

\(Width = 6ft\)

\(Depth = 10ft\)

\(Height = 12ft\)

The volume of the storage room is the product of the dimensions.

So, we have:

\(Volume= Width \times Depth \times Height\)

Substitute values for Width, Depth and Height

\(Volume= 6ft \times 10ft \times 12ft\)

Multiply the dimensions

\(Volume= 720ft^3\)

Hence, the volume of the storage room is 720 cubic feet

Read more about volumes at:

https://brainly.in/question/2593668

Answer:

43.6 has 3 significant figures.

Answer:

There is enough evidence at the α-: 0.05 level of significance to support the claim that the true population mean market value of houses in the neighborhood where Rebecca works is greater than $250,000.

Step-by-step explanation:

We are given that Rebecca randomly selects 35 houses in the neighborhood and finds that the sample mean market value is $259,860 with a sample standard deviation of $24.922.

Let \(\mu\) = population mean market value of houses in the neighborhood.

So, Null Hypothesis, \(H_0\) : \(\mu\) = $250,000      {means that the population mean market value of houses in the neighborhood where she works is equal to $250,000}

Alternate Hypothesis, \(H_A\) : \(\mu\) > $250,000      {means that the population mean market value of houses in the neighborhood where she works is greater than $250,000}

The test statistics that would be used here One-sample t-test statistics because we don't know about population standard deviation;

                              T.S. =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar X\) = sample mean market value = $259,860

            s = sample standard deviation = $24,922

            n = sample of houses = 35

So, the test statistics  =  \(\frac{259,860-250,000}{\frac{24,922}{\sqrt{35} } }\)  ~ \(t_3_4\)

                                     =  2.34

The value of t-test statistic is 2.34.

Also, P-value of the test statistics is given by;

            P-value = P(\(t_3_4\) > 2.34) = 0.0137

Since our P-value is less than the level of significance as 0.0137 < 0.05, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the population mean market value of houses in the neighborhood where she works is greater than $250,000.

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

Learn more about box-and-whisker plots on:

brainly.com/question/27849170

#SPJ1

Answer:

basically multiplication, (that quantity) times 5

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Total water fetched = 24 pints.

Jill drank a tenth of this. This will be:

= 1/10 × 24

= 2.4 pints

Jack drank a quarter. This will be:

= 1/4 × 24 = 6.

They gave three eighths to dame Dob . Thus will be:

= 3/8 × 24

= 9

They gave a fifth to jill's mother. This will be:

= 1/5 × 24.

= 4.80

Amount that'll be left over will be:

= 24 - (2.40 + 6 + 9 + 4.80)

= 24 - 22.2

= 1.8

1.8 pints of water will be left over.

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

Know more about  trigonometry   here:

https://brainly.com/question/13729598

#SPJ8

Insured = 72%.

Uninsured = 28%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Here is a table classifying 116 thousand US households (in thousands) in

2013 by tenure and insurance status:

Insurance status      Owns home   Rents home

Insured                              71                13

Uninsured                         27               5

Total house = 71 + 13 + 5 + 27 = 116

Insured = (71 + 13)/116 = 72%.

Uninsured = (5 + 27)/116 = 28%.

Therefore, 72% = insured and 28% = uninsured.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ1