17. Jane is building a model boat. Every inch on her model is equivalent to 3.5 feet on the real boat her model is based on. What would be the mathematical rule to express the relationship between the length of the model, m, and the length of the boat, b?​

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Solution

Initially, the population of a certain species of bird is 18, 000

If it increases at a rate of 9% per year,

here the rate of increase is 0.09

we are to find the population after 14 years,

when t = 14

Therefore, the population of the birds is about 60151

Using the Central Limit Theorem, it is found that:

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).

The estimate and the sample size are given by:

p = 0.38, n = 168.

Hence the mean is given by:

\(\mu = p = 0.38\)

The standard error is given by:

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.38(0.62)}{168}} = 0.0374\)

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The measure of the angle that turns through 3/10 of the circle is 108 degrees.

An angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.

Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.

Since a full circle has 360 degrees, 3/10 of the circle can be represented as:

(3/10) x 360 degrees = 108 degrees

Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.

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The complete question is :

The angle turns through 3/10 of the circle. What is the measure of the angle?

Answer:

The answer is three less than

Step-by-step explanation:

Answer:

Choice D.

Step-by-step explanation:

In interval notation the domain is (-∞, -2) U (-2, 1) U (1, ∞)

Answer:  The starting figure

Explanation:

The 'pre' means it comes before, which helps me remember what the pre-image is. In contrast, the image is the "after" or final result after the transformation.

So the template is \(\text{pre-image} \to \text{image}\)

Answer:

The logs do not form a right-angle triangle

Step-by-step explanation:

Given

\(Logs: 9ft, 11ft, 21ft\)

Required

Do the logs form a right-angled triangle

Applying Pythagoras theorem

\(a^2 = b^2 + c^2\)

Where a is the length of the longest log.

So, we have:

\(21^2 = 9^2 + 11^2\)

\(441 = 81 + 121\)

\(441 \ne 202\)

The above shows an inequality.

Hence, the logs do not form a right-angle triangle

Answer:

-sin x

Step-by-step explanation:

sin(3π/3+x)=sin (π+x)=-sin x

or

sin (π+x)=sin πcos x+cos π sin x=(0)cos x+(-1)sin x=0-sin x=-sin x

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer:

1 hour and 50 minutes

Step-by-step explanation:

Time Connie takes to clean the house: 210 minutes

Time takes for both of them at the same time: 100 minutes.
210 - 100 = 110 minutes

Therefore, Alvaro takes one hour and 50 minutes to clean the house by himself.

Answer:Alvaro can clean the house alone in approximately 3.89 hours.

Step-by-step explanation:

If Connie can clean her house in 3.5 hours, then her rate of work is 1/3.5 of the house per hour. Together, Connie and Alvaro can clean the house in 1 hour and 40 minutes, or 1.67 hours.

To find how long it would take Alvaro to clean the house alone, we can use the formula:

combined rate of work = sum of individual rates of work

So, (1/3.5 + 1/a) * 5/3 = 1, where "a" is the time it takes Alvaro to clean the house alone.

Simplifying the equation, we get 1/a = 9/35, which means that Alvaro can clean the house alone in approximately 3.89 hours (or 3 hours and 53 minutes).

Answer:

Step-by-step explanation:

In this case the constants is the numbers without a variable attached to them, in this case, there are no constants

Answer:

-8b^2 + 4b

Step-by-step explanation:

To simplify the expression (-6b^2 2b-1) + (-2b^2 + 4b), we need to combine like terms.

First, let's distribute the negative sign to the terms inside the first set of parentheses:

(-6b^2) + (-2b^1) = -6b^2 - 2b^1

Now let's combine the terms inside the second set of parentheses:

(-2b^2) + (4b) = -2b^2 + 4b

Finally, let's add the two expressions:

(-6b^2 - 2b^1) + (-2b^2 + 4b) = -6b^2 - 2b^1 - 2b^2 + 4b

Simplifying, we get:

-8b^2 + 4b = -8b^2 + 4b

The final simplified expression is: -8b^2 + 4b.

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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Answer:

B

Step-by-step explanation:

Check this answer from the people who have been written this solving question.

Because the answer I founded from the Brainly same question!!

* it's not my answer*

I just wanted to let you know.

But I hope it's helpful and correct answer :)

Answer:

f(-3) = 4

Step-by-step explanation:

f(-3) = 3-2-(-3)

f(-3) = 3-2+3

f(-3) = 4

The x - intercept is 40 ,which represents the number of monthly payments needed to repay the loan .

Given :

The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan.

From the graph :

Two points are ( 6 , 25500 ) and ( 25 , 11250 )

x - intercept = 40

The x - intercept gives information about the variable represented on the x - axis of a graph which is the number of monthly repayments needed to cover the loan.

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Answer:

sept one

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

First, let find the probability that is a female student.

The total of students is 143.

The total of female students is 78.

The P(female) =78/143 = 6/11

Now, let's find the probability that is left-handed.

The total of left-handed students is 29.

The P(left-handed) = 29/143

Now, the probability that the student is female or left-handed.

The "or" rule of probability tells us that when we have an "or", its means that we add the probabilities.

So P(female or left-handed) = P(female) + P(left-handed)

Replace the values.

P(female or left-handed) = 6/11 + 29/143 -174/1573 = 0.63

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

The possible equation of the parabola is f(x) = (x - 1)² - 5

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

Vertex = (1, -5)

Rewrite the vertex as follows

So, we have the following representation

(h, k) = (1, -5)

A quadratic function can be represented as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

Substitute the known values in the above equation, so, we have the following representation

f(x) = a(x - 1)² - 5

Set a = 1

f(x) = (x - 1)² - 5

Hence, the function is (d) f(x) = (x - 1)² - 5

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The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

w = 120

x = 60

y = 120

z = 60

Step-by-step explanation:

w = 120 (vertically opposite angles)

sum of co interior angles is 180

⇒ w + x = 180 and x + y = 180

w + x = 180

⇒ 120 + x = 180

⇒ x = 180 - 120

⇒  x = 60

x + y = 180

⇒  60 + y = 180

⇒   y = 180 - 60

⇒   y = 120

z = x (corresponding angles)

z = 60

Answer:

2.98

Step-by-step explanation:

Answer:

Given number = 0.44

Find how many times the value of the hundredths place digit to the value of the tenths place digit.

=> Since this is a decimal number, I believe, the value you mean is tenths and hundredths, not tens and hundreds.

Now, how many times is the value of each digit differs from each other:

The answer is 10 times

=> 4 hundredths x 10 = 4 tenths

=> 0.04 x 10 = 0.4, which is correct

Step-by-step explanation:

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\( \frac{12}{80} \times 100 = \\ \)

\( \frac{4 \times 3}{4 \times 20} \times 100 = \\ \)

\( \frac{3}{20} \times 100 = \\ \)

\( \frac{100}{20} \times 3 = \\ \)

\(5 \times 3 = 15 \: \: \: percent\)

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