Write the proposition "I come to class whenever there is going to be a quiz" in the form "if p then q" then state its converse, contrapositive, and inverse.

Answers

Answer 1

The proposition "I come to class whenever there is going to be a quiz" can be written as "If there is going to be a quiz, then I come to class."

The converse of this proposition is "If I come to class, then there is going to be a quiz."

The contrapositive of this proposition is "If there is not going to be a quiz, then I do not come to class."

The inverse of this proposition is "If I do not come to class, then there is not going to be a quiz."

What is proposition?

A mathematical proposition is a statement such as "3 is bigger than 4," "an infinite set exists," or "7 is prime." A proposition that is presumed to be true is referred to as an axiom. A proposition is an either true or incorrect statement. A mathematical assertion will be referred to as a theorem throughout our course. A theorem is a significant result. A lemma is a claim that serves primarily to establish a bigger theorem.

Here,

The proposition "I come to class whenever there is going to be a quiz" can be written as "If there is going to be a quiz, then I come to class."

The converse of this proposition is "If I come to class, then there is going to be a quiz."

The contrapositive of this proposition is "If there is not going to be a quiz, then I do not come to class."

The inverse of this proposition is "If I do not come to class, then there is not going to be a quiz."

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Related Questions

han types the letters a, s, d, f, and then repeats them over and over what is the fith letter diego will type

Answers

The fith letter Diego will type is the letter a

How to determine the fith letter diego will type

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

Letters: a, s, d and f

When the letters are repeated, we have

a s d f a s d f a s d f a s d f a s d f......

using the above as a guide, we have the following:

Fifth letter = a

Hence. the fifth letter is a

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Use the cross products property to solve the proportion.9/10=d/6.4

Answers

Using the cross product property, the value of d is 5.76.

What is Proportion?

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as  p : q = r : s or p/q = r/s

Given proportional relation is,

9 / 10=d / 6.4

Doing the cross multiplication,

9 × 6.4 = 10 × d

57.6 = 10d

d = 57.6 / 10

d = 5.76

Hence the solution of the proportion is d = 5.76.

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prime factorization of 756

Answers

The solution is, prime factorization of 756 = 3*2*3*2*3*7

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

756

we know,

756 = 6*6*21

       =3*2*3*2*3*7

as, we know, 2,3,7 all are prime.

so, prime factorization of 756 = 3*2*3*2*3*7

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Out of 10,551 passing attempts, Drew Brees
completed 7,142
What is the completion percentage for
Drew Brees? Show or explain how you got
your answer.

Answers

Answer: 67.69%

Step-by-step explanation:

To calculate the completion percentage,

Divide the completed passes by the total passing attempts.

>      7142/10551

Then, multiply that answer by 100 to get the percentage.

>      67.69%

why is infinity divided by infinity undefined?

Answers

Answer:

Infinity divided by infinity is undefined because infinity is not a number and cannot be treated as one in mathematical operations. In mathematics, division is a process that involves finding the ratio between two numbers. However, infinity is not a number and has no finite value, so it cannot be used as the denominator or numerator in a division operation.

When dividing infinity by infinity, you are asking for the ratio of two quantities that are both infinite, and the result is not well-defined. The concept of infinity can be useful in certain mathematical contexts, such as limits and calculus, but it cannot be used as a number in the usual sense.

In mathematical terms, the expression infinity divided by infinity is considered indeterminate and has no defined value. This is why it is undefined in mathematical analysis.

Step-by-step explanation:

Suppose that So, S1, S2,... is a sequence of subsets of N. Which one of the following sets is guaranteed to be different from all sets in the sequence? (a) S = {n | n & Sn²} (b) S = {n | n² & Sn²} (c) S = {n²| n & Sn²} (d) S = {n² | n² & Sn} (e) S = {n² | n & Sn} Explain why your chosen set is guaranteed not to be in the sequence So, S1, S2, ...

Answers

Suppose that So, S1, S2,... is a sequence of subsets of N the following sets is guaranteed to be different from all sets in the sequence is S = {n² | n² & Sn}.

Subsets are a part of the mathematical concept of sets. A set is anything that is wrapped in curly braces, such as "a,b,c,d." If set A is a collection of even integers and set B is composed of the numbers 2, 4, and 6, then set A is the superset of set B and set B is said to be a subset of set A. Review Sets Subset and Superset for further details.

Set A is referred to as a subset of Set B if each element of Set A is also present in Set B. In other words, Set B includes Set A.

As an illustration, if set A has the elements X, Y, and set B contains the elements X, Y, and Z, then set A is the subset of set B.

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Replace * with a digit so that the value of x is a whole number. Find all possibilities.

3x-694-10*

Answers

We need to find a digit such that the value of x is a whole number. To do that, we can add 694 and 10 times the digit to both sides of the equation, to isolate x:

3x - 694 - 10* = 3x - 694 - 10* + 694 + 10*

Simplifying the right side of the equation:

3x = 694 + 10*

And finally, dividing both sides by 3:

x = (694 + 10*) / 3

Since x needs to be a whole number, (694 + 10*) must be divisible by 3. So (694 + 10*) must be either 697, 707, 717, ..., 993.

The possibilities for x are:

x = (697 + 0) / 3 = 232
x = (707 + 10) / 3 = 236
x = (717 + 20) / 3 = 240
...
x = (993 + 90) / 3 = 331

So the possible values of x are 232, 236, 240, ..., 331

50
Question 10
A diagram has circles such that the area represents the populations of various
countries in the world. The circle for United States has a radius of 4.2 cm and the circle
for India has a radius of 8.7 cm. If 4% of the world's population is in United States, what
percentage of the world's population is in India? Round to the nearest percent.

Answers

Answer: 17%

Step-by-step explanation:

So, the formula to get the area of a circle is [tex]\pi r^{2}[/tex].

USA: [tex]4.2^{2} \pi[/tex] = 55.42cm

India: [tex]8.7^2\pi[/tex] = 237.79cm

From this, we can divide India by USA:

237.79 / 55.42 = 4.291

Then, with that we can multiply our 4% by 4.291:

4 * 4.291 = 17.16400

Rounded to the nearest percent is 17%

The distance between earth and one of the brightest stars in the night sky is 33.7 light-years. one light-year is 6,000,000,000,000 [6 trillion] miles , find the distance between the earth and the star in miles. write answer in scientific notation.

Answers

Answer: To find the distance between Earth and the star in miles, we need to multiply the number of light-years by the number of miles in a light-year.

33.7 light-years * 6,000,000,000,000 miles/light-year = 2.022 x 10^17 miles

So, the distance between Earth and the star is approximately 2.022 x 10^17 miles, written in scientific notation.

Step-by-step explanation:

I need help with this please!

Answers

Answer:

d<0

Step-by-step explanation:

3+d<3-d

3+d<3-dcancel equal terms

3+d<3-dcancel equal termsd<-d

3+d<3-dcancel equal termsd<-dMove the variable to the left

3+d<3-dcancel equal termsd<-dMove the variable to the leftd+d<0

3+d<3-dcancel equal termsd<-dMove the variable to the leftd+d<0collect like terms

3+d<3-dcancel equal termsd<-dMove the variable to the leftd+d<0collect like terms2d<0

3+d<3-dcancel equal termsd<-dMove the variable to the leftd+d<0collect like terms2d<0divide both sides

3+d<3-dcancel equal termsd<-dMove the variable to the leftd+d<0collect like terms2d<0divide both sidesd<0

Find the sum of 7 1/3 and 4 7/10

Answers

Answer:

12 1/30

Step-by-step explanation:

What does sum mean?

Sum is the term used for the total amount of something when two or more numbers are added.

In order to add the two fractions, they must have the same denominator.

To do this, we need to find a common denominator.

Multiples of 3:  3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Multiples of 10:  10, 20, 30

Both 3 and 10 have 30 in common, so this is the common denominator.

In order to get to 30, 3 must be multiplied by 10.  Whatever you do to the bottom must be done to the top and vice versa.

7 1/3 becomes 7 10/30.

4 7/10 becomes 4 21/30

Now, we add the whole numbers.

7 + 4 = 11

Now, add the fractions.

10/30 + 21/30 = 31/30

Put it all together.

11 31/30

This is an improper fraction, so we must make it a proper fraction.  To do this, we divide 30 into 31.  It can only go in evenly one time and has a remainder of one.  The remainder is added to the whole numbers and the numerator of the fraction takes the evenly divided one.

11 + 1 1/30  This is adding the remainder to the whole number.

12 1/30  This is the result of adding the remainder and fixing the fraction.

12 1/30 is the answer.

Riley, Nathan, and Jeremy had a challenge to see who could
bike the farthest in one day. Riley biked 15 miles, Nathan biked
3 times as many miles as Jeremy and Jeremy biked 3 times as
many miles as Riley. How many miles did Nathan bike?

Answers

Nathan biked a total of 135 miles.

What is miles?

Miles  unit of distance  between 2.1 map of the link of a johnny the tomb my list divided for the letting word thousand and the world to 1.609 kilometers my life report unit measurement is a united states uk kannada some other countries.

To solve this problem, we need to use the given information to find the amount of miles that Jeremy biked. Since Jeremy biked 3 times as many miles as Riley, we know that Jeremy biked 15 x 3 = 45 miles.

Since Nathan biked 3 times as many miles as Jeremy, we know that Nathan biked 45 x 3 = 135 miles. Therefore, Nathan biked a total of 135 miles.

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In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 5.7 meters and c = 9.6 meters, what is b? If necessary, round to the nearest tenth.

Answers

Answer:

[tex]b[/tex] ≈ [tex]7.7[/tex]

Step-by-step explanation:

We need to use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

In this case we have a and c. So let's plug those into the equation:

[tex](5.7)^2+b^2=(9.6)^2[/tex]

Solve:

[tex]32.49+b^2=92.16[/tex]

Round to the nearest tenth:

[tex]32.5+b^2=92.2[/tex]

Subtract 32.5

[tex]b^2=59.7[/tex]

Find 'b'

[tex]b=\sqrt{59.7}[/tex]

[tex]b[/tex] ≈ [tex]7.7[/tex]

I hope this helped you!

Be safe and have great day! (:

The following composite figure is made up of a right triangular prism and right triangular pyramid if the height of the prism is 12 feet what is the volume of the figure

Answers

The volume of the composite figure is equal to 3425.333 cubic feet.

How to determine the volume of a composite figure

In this problem we need to determine the volume of a composite figure, that is, the sum of the volumes of a right prism and a pyramid, whose formulae are described below:

Right prism

V = 0.5 · w · l · h

Pyramid

V = (1 / 3) · (0.5 · w · l) · h

Where:

w - Width of the base, in feet.l - Length of the base, in feet. h - Height, in feet.V - Volume, in cubic feet.

Now we proceed to determine the volume of the composite figure:

V = 0.5 · (8 ft) · (7 ft) · (12 ft) + (1 / 3) · 0.5 · (8 ft) · (7 ft) · (7 ft)

V = 3425.333 ft³

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( 5 m ^ 2 + 3 mn - 3 n ^2 ) - ( m ^ 2 - n ^2 )=

Options:

A- 4m ^ 2 + 2 n ^ 2

B- 4 m ^ 2 - 4 n ^ 2

C- 4 m ^ 2 + 3 mn - 2 n ^2

D-4 m ^ 2 + 3 mn - 4 n ^2
answer quick

Answers

The simplification of the  algebraic expression gives:

(5m² + 3mn - 3n²) - (m² - n²) = 4m² + 3mn - 2n²

How to simply an algebraic expression?

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

(5m² + 3mn - 3n²) - (m² - n²) = 5m² + 3mn - 3n² - m² + n²

                                              = 5m²- m² + 3mn - 3n²+ n²

                                              = 4m² + 3mn - 2n²

Therefore, (5m² + 3mn - 3n²) - (m² - n²) simplifies to 4m² + 3mn - 2n²

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Rewrite 5^(2 .)5^(4) using a single exponent

Answers

5^(6) is the answer.

6
Blood pressure. A company held a blood pressure screen-
ing clinic for its employees. The results are summarized in
the table below by age group and blood pressure level:
Blood
Pressure
Low
Normal
High
Under 30
27
48
23
Age
30-49 Over 50
37
91
51
31
93
73
a) Find the marginal distribution of blood pressure level.
b) Find the conditional distribution of blood pressure
level within each age group.
c) Compare these distributions with a segmented bar
graph.
d) Write a brief description of the association between
age and blood pressure among these employees.
e) Does this prove that people's blood pressure increases
as they age? Explain.

Answers

As people get older, the proportion of employees with low blood pressure falls and the proportion with high blood pressure rises.

what is proportionality ?

Interactions are regarded to as appropriate when they usually have the same ratio. For instance, the number of plants in an orchard and the number of apples in a production of apples depend upon this average number of apples produced by each tree. A linear relationship among two numbers or objects is considered to as being proportional in mathematics. When the first quantity doubles, the other amount also does so. As soon as one variables is reduced to 1/100th of its previous value, other decreases as well. If two variables are proportional, it means that if one rises, the other climbs as well, and their relationship stays constant at all values. The diameter and circumference of a circle are used as an example.

given

a) 20%, 49.4%, 30.6% (equal 100)

b) 29.7%, 45.5%, 24.8%

20%, 52.6%, 27.4%

14.9%, 48.5%, 36.6%

c) As people get older, the proportion of employees with low blood pressure falls and the proportion with high blood pressure rises.

d) No, because the association between age and blood pressure can only be determined through a carefully designed trial.

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complete the following program to implement the user interface of the preceding exercise. for simplicity, only the units cm, m, and in are supported.

Answers

This program implements a user interface that can convert between the units centimeters (cm), meters (m), and inches (in) using the conversion formulas outlined.

#include <iostream>

using namespace std;

int main()

{

// Declare variables

double value;

char fromUnit;

char toUnit;

// Get input

cout << "Enter a value and the units you wish to convert from and to (cm, m, in): ";

cin >> value >> fromUnit >> toUnit;

// Convert the value

if (fromUnit == 'm' && toUnit == 'cm') {

 value *= 100;

} else if (fromUnit == 'cm' && toUnit == 'm') {

 value /= 100;

} else if (fromUnit == 'in' && toUnit == 'm') {

 value /= 100 * 2.54;

} else if (fromUnit == 'm' && toUnit == 'in') {

 value *= 100 * 2.54;

}

// Output the result

cout << "Result: " << value << toUnit << endl;

return 0;

}

The formula used in this program is the conversion between the units centimeters (cm), meters (m), and inches (in). The conversion formula used is as follows:

1 meter (m) = 100 centimeters (cm)

1 inch (in) = 2.54 centimeters (cm)

Therefore, if we are converting from centimeters (cm) to meters (m), the conversion formula is to divide the value by 100. If we are converting from meters (m) to centimeters (cm), the conversion formula is to multiply the value by 100. For the conversion from inches (in) to meters (m), the conversion formula is to divide the value by 100 and multiply it by 2.54. For the conversion from meters (m) to inches (in), the conversion formula is to multiply the value by 100 and divide it by 2.54.

For example, if we want to convert 5 meters (m) to centimeters (cm), we use the formula 5 * 100 = 500 centimeters (cm).

This program implements a user interface that can convert between the units centimeters (cm), meters (m), and inches (in) using the conversion formulas outlined above.

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CAN SOMEONE HELP WITH THIS?✨

Answers

The population of the town is 2564 people after 4 years.

What is Exponential Growth?

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

Given:

The initial population of the town is 1652 people.

And the town's population is tripling every 10 years.

Let y₀ be the initial population, r be the growth rate and t be the time.

So,

y = y₀(e[tex])^{rt}[/tex]

Substituting the values to the function,

y = 1652(e[tex])^{rt}[/tex]

In 10 years,

3y₀= y₀(e[tex])^{rt}[/tex]

r = log(3)/10

Now, the population of town after 4 years is,

y = 1652(e[tex])^{{ln(3)/10} \cdot {t}}[/tex]

y = 2563.64

y ≈ 2564 people.

Therefore, the population is y ≈ 2564, people.

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Rehan proved by mathematical induction that for all the positive integers,
is divisible by 3. Can you find an integer counterexample to show that this statement is not true? Explain.

Answers

A counterexample that shows that all the integers are not divisible by 3 is given as follows:

2.

How to obtain the counterexample?

The statement for this problem is given as follows:

"All the positive integers are divisible by 3".

The statement is false, as only numbers whose sum of the digits is a multiple of 3 are divisible by 3, hence for example, the number 2 is not divisible by 3.

The counterexample is the statement that proves that a conjecture(another statement) is false, hence the number 2 is the counterexample showing that not all positive statements are divisible by 3.

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What is the equation of a line with slope 1/4 which passes through the point (0,7)?

Answers

Answer:

y - 7 = 1/4 ( x - 0 )

y -7 = 1/4 x

y = 1/4 x + 7

If 12 subtracted from 7 time a number is equal to five times the sum of the number and 2,find the number.

Answers

Answer:

7-12=x

5(x+2)

7-12=-5

5(-5+2)

5(-3)

-15

Step-by-step explanation:

use the midpoint rule with the given value of n to approximate the integral. round the answer to four decimal places. integral 48 0 sin Vx dx, n=4

Answers

By using the midpoint rule, the value of n to approximate the integral is 9.24.

The integral of a function is a measure of the total area under the curve of the function over a given interval. The Midpoint Rule is a method used to approximate the value of an integral by dividing the interval into smaller subintervals, finding the midpoint of each subinterval, and using the height of the function at the midpoint to estimate the area of the subinterval.

In this specific problem, we are asked to approximate the integral of the function f(x) = sin root x from x = 0 to x = 48, using the Midpoint Rule with n = 4 subintervals. To do this, we divide the interval [0,48] into 4 equal subintervals of width

=> (48-0)/4 = 12.

The midpoint of each subinterval is calculated as follows:

1st subinterval: (0 + 12)/2 = 6

2nd subinterval: (12 + 24)/2 = 18

3rd subinterval: (24 + 36)/2 = 30

4th subinterval: (36 + 48)/2 = 42

Next, we find the height of the function f(x) = sin root x at each of these midpoints.

1st subinterval: sin root 6 = 0.77

2nd subinterval: sin root 18 = 0.97

3rd subinterval: sin root 30 = 0.87

4th subinterval: sin root 42 = 0.71

Finally, we multiply each height by the width of the subinterval to find the estimated area of each subinterval, and add up these areas to obtain the final estimate of the integral:

(0.77 * 12) + (0.97 * 12) + (0.87 * 12) + (0.71 * 12) = 9.24

So, our final estimate of the integral of f(x) = sin root x from x = 0 to x = 48 using the Midpoint Rule with n = 4 is 9.24. Rounding to 4 decimal places, our answer is 9.2400.

Complete Question:

Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.

∫0 to 48 sin √x dx, n=4

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Find the exact value of cos N in simplest radical form.

Answers

the simplest radical form of the exact value of cos A will be 7/8.

What is the right-angle triangle?

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given a right-angle triangle that has a base of 14 height of √60 and a hypotenuse of 16.

From the general formula of cosine in a right-angle triangle:

Cos α = base/ hypotaneuse

In our case,

base = 14 and

hypotenuse = 16

Thus,

Cos A = 14/16

A = 0.5053 radians

Therefore, the simplest radical form of the exact value of cos A will be 7/8.

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Complete question:

name each type of special quadrilateral that can meet the given condition. four right angles. make sketches to support your anwers

Answers

The name special quadrilateral that have four right angles. are Square  , Rhombus , Rectangle have 4 right angle.

A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

Square - The properties of square is it have 4 side and all side are equal and make 90 degree angle on all 4 side. that's why it has 4 right angle.

Rhombus - The properties of rhombus  is it have 4 side and all side are equal and there diagonal cut each other at 90 degree that's why it has 4 right angle

Rectangle- The properties of square is it have 4 side and parallel sides are equal and make 90 degree angle on all 4 side.that's why it has 4 right angle.

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WHAT IS THE MEANING TO THE ANSWERR OF LIFE THAT IS SQUARED BY TWO

Answers

Answer: I'm sorry, but the statement "the answer to the meaning of life that is squared by two" is not a coherent or meaningful concept. The meaning of life is a philosophical question that has been debated by scholars, theologians, and thinkers throughout history and has no single, universally agreed-upon answer. Additionally, squaring by two does not have any inherent relationship to the meaning of life.

Step-by-step explanation:

The researcher who conducted the study discovered that the number of hours spent studying reported by the student represented by P was recorded incorreetly. The corrected data point for this student is represented by the letter Q in the scatterplot below. Explain how the least squares regression line for the corrected data (in this part) would differ from the least squares regression line for the original data

Answers

The least squares regression line for the corrected data would be shifted upwards compared to the original data, indicating that increasing the amount of time spent studying would likely have a greater impact on a student's grades.

The least squares regression line for the corrected data would be shifted upwards compared to the least squares regression line for the original data, since the corrected data point has a higher value than the original data point. This shift in the regression line would indicate that, in general, increasing the amount of time spent studying would have a greater impact on the student's grades than the original data indicated.

The least squares regression line for the corrected data would be shifted upwards compared to the original data, indicating that increasing the amount of time spent studying would likely have a greater impact on a student's grades.

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Using the diagram below, write a. in terms of Au b. in terms of AB and B A 2. Add the following vectors using the Triangle Law. a. 9 N on a heading of (S2"W) and 11 N on a heading of (N31*W). b. 7 m/s on a bearing of 30 and 2 m/s from a bearing of 343". (HINT: a vector "on" a bearing extends "out" from the origin and a vector "from" a bearing is directed in "toward" the origin) 3. Add the following vectors using the Component law a. 9 m/s (N30°E) and 2 m/s [N 80'E). b. 3 N in a direction 15" south of west and 4 N in a direction 12 east of south. 4. A plane is heading on a bearing of 200 with an airspeed of 400 km/h when it is blown off course by a wind of 100 km/h from the northeast Determine the resultant ground velocity of the plane. в M 0 18 Feb 血

Answers

Answer:

a. Au = 9cos(30) + 11cos(31)

b. AB = 9sin(30) + 11sin(31) and B = -9sin(30) + 11sin(31)

3. a. 9cos(30) + 2cos(80)

b. 3cos(15) + 4cos(12)

4. The ground velocity of the plane would be 349.4 km/h on a bearing of 225°.

Maria played a game with her little sister for 2/5 hour and read her little sister a book for 5/8 hour.

What is the best estimate for the total time Maria spent with her little sister?

Fill in the blanks with the options bellow please!
0 hours, 1/2 hours, 1 hour, 1 1/2 hours, 2 hours.
I have put question marks where the blanks are.

​2/5​ hour is closest to Response area. 5/8​ hour is closest to Response area. Therefore, the best estimate for the total time Maria was with her sister is close to Response area.

Answers

Answer: The best estimate for 2/5 hour is 1/2 hour and the best estimate for 5/8 hour is 1/2 hour. So, the total time spent would be 1/2 hour + 1/2 hour = 1 hour.

Therefore, the best estimate for the total time Maria spent with her little sister is 1 hour.

Step-by-step explanation:

Use the method for solving Bernoulli equations to solve the following differential equation. dy dx **=6x?y? Ignoring lost solutions, if any, the general solution is y= (Type an expression using x as the variable.)

Answers

The Bernoulli equation for this particular differential equation is [tex]dy/dx = 6x(y-1)[/tex]  the final solution is [tex]y = x^3 + 1[/tex].

The Bernoulli equation for this particular differential equation is [tex]dy/dx = 6x(y-1)[/tex]. To solve the equation, we first use the substitution u = y – 1. This substitution simplifies the equation to [tex]dy/dx = 6xu[/tex], which is a first-order linear equation with constant coefficients. Now we can use the method for solving Bernoulli equations to find the solution.

We first find the integrating factor, which is [tex]I(x) = exp(∫6xdx)= exp(3x^2)[/tex]. Then we multiply both sides of the equation by I(x) to get [tex]I(x)dy/dx = 6xI(x)u[/tex]. We can now integrate both sides with respect to x and get the general solution of [tex]y = u + 1 = (1/I(x))∫6xI(x)dx + 1[/tex]. After calculating the integral, the final solution is [tex]y = x^3 + 1[/tex].

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