whatis the answe please readlink

It takes the same motorboat 3 hours to go upstream with a current flowing at 2.5 mph.

To solve this problem, we need to consider the speed of the motorboat and the current separately. Let's assume the speed of the motorboat in still water is "B" mph.

Downstream:

The motorboat is moving with the current, so its effective speed is increased by the speed of the current. The speed of the motorboat downstream is (B + 2.5) mph.

Given that it takes 2 hours and 15 minutes to complete the journey downstream, which is equivalent to 2.25 hours, we can set up the following equation:

Distance = Speed × Time

\(45 miles = (B + 2.5) mph * 2.25 hours\)

Simplifying the equation, we have:

\(45 = 2.25B + 2.25(2.5)\)

\(45 = 2.25B + 5.625\)

\(45 - 5.625 = 2.25B\)

\(39.375 = 2.25B\)

\(B = 39.375 : 2.25\)

\(B =17.5 mph\)

So, the speed of the motorboat in still water is approximately 17.5 mph.

Upstream:

When the motorboat moves upstream, it works against the current, which reduces its effective speed. The speed of the motorboat upstream is (B - 2.5) mph.

To find the time it takes for the boat to go upstream, we can use the same formula:

Distance = Speed × Time

\(45 miles = (B - 2.5) mph * Time\)

Simplifying the equation, we have:

\(45 = (17.5 - 2.5) mph * Time\)

\(45 = 15 mph * Time\)

Dividing both sides by 15 mph, we get:

\(Time = 45 miles : 15 mph\)

\(Time = 3 hours\)

Therefore, it takes the same motorboat 3 hours to go upstream with a current flowing at 2.5 mph.

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It takes the same motorboat 3 hours to go upstream  if the current flows at 2. 5 mph.

The time it takes for the boat to go upstream, we need to consider the effect of the current.

Let's denote the speed of the motorboat as B mph and the speed of the current as C mph.

Distance between the piers = 45 miles

Time taken downstream = 2 hours 15 minutes = 2.25 hours

Current speed = 2.5 mph

Downstream, the motorboat's speed is increased by the speed of the current, while upstream, the motorboat's speed is decreased by the speed of the current. So, we can write the following equations:

Downstream speed = Boat speed + Current speed

Upstream speed = Boat speed - Current speed

Given that the time taken downstream is 2.25 hours, we can set up the equation:

Distance = Speed × Time

45 = (B + 2.5) × 2.25

Simplifying the equation:

45 = 2.25B + 2.25(2.5)

45 = 2.25B + 5.625

45 - 5.625 = 2.25B

39.375 = 2.25B

B = 39.375 / 2.25

B ≈ 17.5 mph

Now, we know the speed of the motorboat is 17.5 mph. To find the time taken upstream, we can set up the equation:

45 = (B - 2.5) × T

Substituting the known values:

45 = (17.5 - 2.5) × T

45 = 15 × T

T = 45 / 15

T = 3 hours

Therefore, it takes the same motorboat 3 hours to go upstream.

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Using the trend line equation, we can find that the record was set in the year 2005.

Data is shown visually in a scatter plot.

The coordinate axes are used in a straightforward scatter plot to plot the points according to their values.

Now in the given question,

The scatter plot equation is:

y = - 0.14x + 12.5

Now we know that y = 11.8 seconds.

So,

11.8 = -0.14x + 12.5

⇒ 0.14x = 12.5 - 11.8

⇒ x = 0.7/0.14

⇒ x = 5

Therefore, the year when the record was set is 2000+5 = 2005.

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A possible second point which has a y-coordinate of 8 is 5.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following slope and data points on the line:

Substituting the given points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

3/2 = (8 - 2)/(x₂ - 1)

3/2 = 6/(x₂ - 1)

Cross-multiplying, we have:

3(x₂ - 1) = 12

x₂ - 1 = 12/3

x₂ - 1 = 4

x₂ = 4 + 1

x₂ = 5

In conclusion, the required second point (x₂) is equal to 5.

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Answer: 20 strawberries

1 litre of orange juice

500ml yogurt

2

Step-by-step explanation:

Based on the recipe, the average for 1 smoothie, we need buy 5 strawberries, 1/4 litre of orange juice, 125ml yogurt, 1/2 banana

Thus, for 4 smoothies, we need the average quantity for 1 smoothie multi with 4

- 5*4 = 20 strawberries

- 1/4 litre *4 = 1 litre of orange juice

- 125ml yogurt * 4 = 500ml yogurt

-1/2 of banana * 4= 2 banan

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Answer:

Not Defined

Step-by-step explanation:

Anything divided by 0 is said to be infinity or not defined.

The requried measure of the angle m∠BCD is 28°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
From the figure,
m∠BOD = 2m∠BFD
            = 2 × 76°
            = 152°

OD perpendicular to CE simultaneously OB perpendicular to CA
m∠ODC = m∠OBC = 90°

m∠ODC + m∠OBC + m∠BOD + m∠BCD = 360
90 + 90 + 152 + m∠BCD = 360
m∠BCD = 28°

Thus, the requried measure of the angle m∠BCD is 28°.

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Answer:

39

Step-by-step explanation:

esitmate 394.6 to be 390 and 9 to be 10

Answer:

39.5

Step-by-step explanation:

i got this because 394.6 is rounded to 395. 9 rounded to 10. divide them and get 39.5

Hierarchy chart is defined as a tool used for organizing ideas in order of rank or level of importance. In other words, it is a graphical representation that shows the relationship between different levels of things that have similar properties or functions.

Hierarchy charts are often used in various areas such as computer programming, business organizations, and education, among others. This tool is an essential tool for people to visualize and understand the structure of complex systems in a simple and organized manner. A hierarchy chart is a tool that is used for organizing ideas in an order of rank or level of importance. It is a visual representation of the different levels of things that have similar properties or functions.

The chart is used in different areas such as computer programming, business organizations, and education, among others. The hierarchy chart helps to understand the structure of complex systems in a simple and organized manner. For example, a hierarchy chart can be used to show the different levels of an organization or a program, where each level has its specific role or task. A hierarchy chart is a visual tool that organizes ideas in an order of rank or level of importance. It is a graphical representation that shows the relationship between different levels of things that have similar properties or functions. For instance, a hierarchy chart can be used to show the different levels of an organization or a program, where each level has its specific role or task.

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Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.

0.3 is less than 30.

Step-by-step explanation:

Answer:

Slope: -2; Y-intercept: 2

Step-by-step explanation:

To find the slope, you can rewrite the equation into standard form:

2x+y-2=0

2x+y=2

y=2-2x

The slope is the coefficient of x, which is -2. The y-intercept is the other number, which is 2.

Step-by-step explanation:

gradient= ‐2

y‐ik intercept=2

explanation: rearrange the equation to make y your subject

from the equation , you already know that ‐2 is m (from the equation y=mx +c , whereby m is your gradient) which means ‐2 is your gradient.

from your equation you would also know that 2 is your y‐intercept. also from the equation y=mx+c is your UK intercept

The scenario where restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.

Sampling bias occurs when some members of a population are systematically more likely than others to be chosen for a sample. In the medical world, this is known as ascertainment bias. Because it threatens external validity, specifically population validity, sampling bias reduces the generalizability of findings.

Sampling bias occurs when some people in a community being surveyed are purposefully placed to be chosen or not chosen over others. If a sample process consistently favors some results over others, it is said to be biased. Ascertainment bias particularly in biological areas)/ and systematic bias are other terms for sampling bias. Bias can be intentional, but it is frequently unintentional.

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Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

\((x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

\(y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5\)

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

Answer:

to find volume of square pyramid use this formula

Step-by-step explanation:

\(volume = \frac{1}{3} a {}^{2} h\)

Answer and Step-by-step explanation:

The expression should look like this:

x - 4.

This is because 4 is less than x, so it has to be subtracted from x. That is the final answer.

#teamtrees #PAW (Plant And Water)

The tangent function is defined as the ratio of the sine function to the cosine function. It is periodic with a period of pi and has vertical asymptotes at odd multiples of pi/2. An equation for a tangent function with a domain of all real numbers and n as an integer is given by the following equation:
y = tan(x + n(pi))


The tangent function is defined as the ratio of the sine function to the cosine function, and it is periodic with a period of pi. It has vertical asymptotes at odd multiples of pi/2.
The tangent function can be represented by the following equation:
y = tan(x)
Where x is the angle measured in radians.
If we want to shift the graph of the tangent function by a certain amount, n, in the horizontal direction, we can use the following equation:
y = tan(x + n(pi))
Where n is an integer.
For example, if n = 2, then the graph of the tangent function would be shifted 2pi units to the left, and the equation would be:
y = tan(x - 2pi)
If n = 3, then the graph of the tangent function would be shifted 3pi units to the left, and the equation would be:
y = tan(x - 3pi)
And so on for any integer value of n.

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Answer:

The graph in the middle with points all around the place would be the answer.

Step-by-step explanation:

The result of the survey showed no correlation, so there would be no pattern or trend line in the graph. So it cannot be the 1st graph or the 3rd.

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

y = 5cos(t) + 6sin(t) is indeed a solution to the differential equation y'' + y = 0.

First derivative of y:

y' = -5sin(t) + 6cos(t)

Second derivative of y:

y'' = (-5cos(t)) + (-6sin(t))

    = -5cos(t) - 6sin(t)

Now, we substitute the second derivative y'' and the original function y into the differential equation y'' + y = 0:

-5cos(t) - 6sin(t) + 5cos(t) + 6sin(t) = 0

We can see that the terms involving cos(t) and sin(t) cancel each other out, resulting in 0. Therefore, when we substitute y'' and y into the differential equation, the equation holds true: y'' + y = 0

Hence, y = 5cos(t) + 6sin(t) is indeed a solution to the differential equation y'' + y = 0.

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Equation: \( 4x\degree + 2x\degree = 180°\)

Answer:

120°, 60°

Step-by-step explanation:

Since, sum of any two Supplementary angles is always 180°.

\( \therefore 4x\degree + 2x\degree = 180°\\

\therefore 6x\degree = 180°\\

\therefore 6x = 180\\\\

\therefore x = \frac{180}{6}\\\\

\therefore x = 30\\

\implies \\

4x° = (4\times 30)° = 120°\\

\&\\

2x° = (2\times 30)° = 60°\\

\)

To provide the formula for the probability distribution of the random variable \(\(n\)\) , we would need more specific information about the random variable and its characteristics. The probability distribution of a random variable describes the probabilities of different outcomes or values that the random variable can take.

In general, the probability distribution of a discrete random variable can be represented by a probability mass function (PMF), denoted as \(\(P(n)\)\) , which gives the probability of each possible value of the random variable.

For example, if the random variable \(\(n\)\) represents the number of successes in a series of independent Bernoulli trials with probability \(\(p\)\) of success, then the probability distribution follows a binomial distribution. The PMF for the binomial distribution is given by the formula:

\(\[P(n) = \binom{n}{k} \cdot p^k \cdot (1-p)^{n-k}\]\)

where \(\(\binom{n}{k}\)\) represents the number of combinations of choosing \(\(k\)\) successes out of \(\(n\)\) trials, \(\(p\)\) is the probability of success, and \(\((1-p)\)\) is the probability of failure.

It is important to note that the specific probability distribution and its formula would depend on the characteristics and nature of the random variable \(\(n\).\)

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Expanded form of the expression - 1/3 (y - x) is,

⇒ - 1/3y + 1/3x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ - 1/3 (y - x)

Now, We can expand the expression as;

⇒ - 1/3 (y - x)

⇒ - 1/3 × y - 1/3 × - x

⇒ - 1/3y + 1/3x

Thus, Expanded form of the expression - 1/3 (y - x) is,

⇒ - 1/3y + 1/3x

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The value of x in the isosceles triangle is 9.25.

An isosceles triangle is a polygon that has three sides. The opposite length have the same length and equal angles.  has two opposite sides. If the two angles are equal , it means the triangle is an isosceles.

Th perimeter of an isosceles triangle is the sum of the length of the three sides of the triangle.

Perimeter = (2 x length of leg) + base

43 = (2x x) + 2x - 6

43 = 2x + 2x - 6

43 = 4x - 6

43 - 6 = 4x

37 = 4x

x = 37 / 4

x = 9.25

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Answer: 9 students on each bus

Step-by-step explanation: 36 divied by 4 is 9. There is 9 students on each bus.

The simplified form of the expression –9.2(8x – 4) + 0.7(2 – 6.3x) is:

–78.01x + 38.2.

To simplify the expression –9.2(8x – 4) + 0.7(2 – 6.3x), we start by applying the distributive property.

First, we distribute –9.2 to the terms inside the first parentheses:

–9.2(8x – 4) = –9.2 * 8x + –9.2 * (-4) = –73.6x + 36.8

Next, we distribute 0.7 to the terms inside the second parentheses:

0.7(2 – 6.3x) = 0.7 * 2 + 0.7 * (-6.3x) = 1.4 – 4.41x

Now, we combine the simplified terms:

–73.6x + 36.8 + 1.4 – 4.41x = –73.6x – 4.41x + 36.8 + 1.4

Finally, we combine like terms:

–73.6x – 4.41x + 36.8 + 1.4 = –78.01x + 38.2

Therefore, the simplified expression is –78.01x + 38.2.

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Step-by-step explanation:

The name of the illness is morbus cyclometricus

Answer:

(1-1)+(5×2)

hope this helps you

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

\( \begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}\)

Domain is set of all real numbers.

Range is greater or equal to 0.