what is 14/7 into improper fraction​

Answer:

Hello! The answer is 8 : 1

Step-by-step explanation:

9 x 8 = 72

72 x 8 = 576

There is a pattern here.

_AnnieTheDreamGirl, 3/9/2022

Answer:

50.3

Step-by-step explanation:

area of a circle = pi radius squared so we can do pi x 4^2 which when we put in the calculator is 16 pi or 50.3

Answer:

Step-by-step explanation:

Prime factorization requires dividing by primes starting with smallest prime number

402/2=201

201/3=67, 67 is prime so we cannot go further so the prime factorization of 402 is

2X3X67

Step-by-step explanation:

can we just 180° minus with all the angle?

180° - 67° - 75° =

The correct reason for each step in the solution of the equation would be as follows:

12 − 5x + 6x = 4 - Given

12 + x = 4 - Combine Like Terms

x= −8 - Subtraction Property of Equality

Hope this answers the question. Have a nice day.

1. In the context of spacetime, the locus of points equidistant from the origin of a spacetime plane is a hyperbola.

In Euclidean space, the distance between two points is given by the Pythagorean theorem, which only considers spatial dimensions. However, in spacetime, the concept of distance is extended to include both spatial and temporal components. The spacetime distance, also known as the interval, is given by the Minkowski metric:

ds^2 = -c^2*dt^2 + dx^2 + dy^2 + dz^2,

where c is the speed of light, dt represents the temporal component, and dx, dy, dz represent the spatial components.

To determine the locus of points equidistant from the origin, we need to find the set of points where the spacetime interval from the origin is constant. Setting ds^2 equal to a constant value, say k^2, we have:

-c^2*dt^2 + dx^2 + dy^2 + dz^2 = k^2.

If we focus on a spacetime plane where dy = dz = 0, the equation simplifies to:

-c^2*dt^2 + dx^2 = k^2.

This equation represents a hyperbola in the spacetime plane. It differs from a circle in Euclidean space due to the presence of the negative sign in front of the temporal component, which introduces a difference in the geometry.

Therefore, the locus of points equidistant from the origin in a spacetime plane is a hyperbola.

(Note: The explanation provided assumes a flat spacetime geometry described by the Minkowski metric. In the case of a curved spacetime, such as that described by general relativity, the shape of the locus of equidistant points would be more complex and depend on the specific curvature of spacetime.)

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Answer:

48°

Step-by-step explanation:

1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.

2) Substitute the values into a + b + c = 180, where \(a=6x-4\), \(b =5x-7\), \(c=8x-18\).

Hence,

\(6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11\)

3) Find the angle of F by substituting 11 into x.

\(=5(11)-7\\=55-7\\=48\)

Therefore, angle F has a measure of 48°.

Answer:

Step-by-step explanation:

(0,3) (2,6)

(6 - 3)/(2 - 0) = 3/2

y - 3 = 3/2(x - 0)

y - 3 = 3/2(x - 0)

y = 3/2x + 3

Tom finishes the route at 1:05 pm.

Given that,

Tom and Hazel cover the same 18-mile journey.

And Hazel begins her walk at 9:00 am, maintaining a speed of 4.8 km/h.

Tom begins running at 9:39 a.m. and maintains a consistent speed.

For the time it takes Hazel to initially travel the 18 kilometers.

Hazel's speed is 4.8 km/h.

And she starts at 9.00 am.

So, the time take to cover the 18 km distance by her,

\(\dfrac{18 km}{4.8 \ km/h} =3.75 \ \text{hours}\)

Now, this is the period of time Tom needs to pass Hazel.

Tom starts at 9.39 in the morning and passes Hazel at 10.15, thus it took him 36 minutes, or 0.6 hours, to get up to her.

Tom caught up to Hazel at the time 10.15 am.

He started at 9.39 am, therefore from that moment on, removing the 0.6 hours it took him to catch up, which yields;

\(9.39 am - 36 minutes = 9.03 am\)

Therefore, Tom started the route at \(9:03 am.\)

Now, combine the time it took Hazel to finish the route with the time when Tom started,

\(9:03 am + 3.75 hours = 1:05 pm.\)

Therefore, At 01:05 pm, Tom finishes the route.

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Answer:

If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'. Hence, the derivative of y will be given as, y' = f'(g(x)).

Step-by-step explanation:

If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'. Hence, the derivative of y will be given as, y' = f'(g(x)).

Answer:

Step-by-step explanation:

1. 60 ft = 7.3 yd (60 ft * 0.3333 = 19.98 ft)

2. 100 meters = 10,000 cm (100 m * 100 = 10,000 cm)

3. 5 hr = 300 min (5 hr * 60 = 300 min)

4. 12 meters = 39.37 ft (12 m * 3.281 = 39.37 ft)

5. 16 in = 40.64 cm (16 in * 2.54 = 40.64 cm)

6. 5 liters = 1.32 qt (5 L * 0.2642 = 1.321 qt)

7. 2076 cm = 2.29 yd (2076 cm * 0.0109 = 22.7 yd)

8. 15 pounds = 6,803.86 grams (15 lb * 453.59 = 6,803.86 g)

Answer:I apologize, but I am not able to understand your question as it is written in a mix of mathematical notation and text that is not clear. Could you please rephrase your question or provide more context? I'll be happy to help you with your question.

Step-by-step explanation:

Answer:

the value of x is 23..

Step-by-step explanation:

(5x+4)+(2x+15) = 180. [being supplementary angle]

7x+19 = 180

7x = 180-19

x = 161÷7

x = 23

Answer:

yes it is because 0-4 is an integer

Step-by-step explanation:

Answer:

yes, it is also a whole number.

Step-by-step explanation:

Hope this helps and have a good day! :)

Answer:

I don't know exactly, I think it is EO, but I could be wrong.

Step-by-step explanation:

The side with intermediate length is OE .

Relationship of sides to interior angles in a triangle

In any triangle:

According to the question

Side opposite to smallest ∠20° = OD

Side opposite to largest ∠110° = DE

Side opposite to intermediate ∠50° = OE

Now,

according to the relationship between length of side of triangle and their interior angle

The smallest side is opposite the smallest angle, and the longest is opposite the largest angle, then it follows that since a triangle only has three sides, the midsize side is opposite the midsize angle.

Therefore,

OD = smallest side

DE = Largest side

OE = intermediate side

Hence, The side with intermediate length is OE .

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The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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The possible values of k for the given system are:

(a) k ≠ 5 → The system has no solution.

(b) k = 5 → The system has infinitely many solutions.

(c) k can take any value except 5 → The system has a unique solution.

(a) To write down the augmented matrix of the given linear system, we can arrange the coefficients of the variables and the constant terms in a matrix form. The augmented matrix has the form [A|B], where A represents the coefficient matrix and B represents the constant matrix.

The given system of equations is:

2x + 2y + 12z = 8

3x - 2y + z = -10

x + y + (k² - 3)z = k + 1

The corresponding augmented matrix [A|B] is:

[  2   2   12  |  8 ]

[  3  -2    1   | -10 ]

[  1   1  (k²-3)| k+1 ]

(b) To find the possible values of k for which the system has no solution, infinitely many solutions, or a unique solution, we can use Gaussian elimination or row reduction.

Performing Gaussian elimination, we'll reduce the augmented matrix to row-echelon form or row-reduced echelon form.

[  2   2   12  |  8 ]

[  3  -2    1   | -10 ]

[  1   1  (k²-3)| k+1 ]

R2 = R2 - (3/2)R1

R3 = R3 - (1/2)R1

[  2   2   12  |  8 ]

[  0  -5  -17  | -26 ]

[  0  -1  (k²-15)/2 | (k-5)/2 ]

R3 = R3 - (1/5)R2

[  2   2   12  |  8 ]

[  0  -5  -17  | -26 ]

[  0   0  (k²-15)/2 - (k-5)/10 | (5-k)/10 ]

Now, we have the row-echelon form of the augmented matrix.

For the system to have a unique solution, the row-echelon form must not have any row of the form [0 0 0 | b] where b ≠ 0. So, we need to analyze the last row of the row-echelon form.

The last row can be written as:

0 * x + 0 * y + 0 * z = (5 - k) / 10

Now, let's consider the three cases:

Case 1: The system has no solution.

If (5 - k) / 10 ≠ 0, i.e., (5 - k) ≠ 0, the system has no solution. This implies k ≠ 5.

Case 2: The system has infinitely many solutions.

If (5 - k) / 10 = 0, i.e., (5 - k) = 0, the system has infinitely many solutions. This implies k = 5.

Case 3: The system has a unique solution.

If (5 - k) / 10 can take any non-zero value, the system has a unique solution. This implies k can be any value except 5.

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The situation that would NOT have a solution if you wanted to know how many pieces of candy each person would receive is b) Four pieces of candy split among zero people.

When you divide a quantity (in this case, the four pieces of candy) among a group of people, you need to have a non-zero number of people. Dividing by zero is undefined in mathematics, so if there are zero people, there is no way to distribute the candy equally among them.

what is numbers?

In mathematics, a number is a mathematical object used to represent quantity, value, or measurement. Numbers can be classified into different types, such as natural numbers (1, 2, 3, ...), integers (..., -2, -1, 0, 1, 2, ...), rational numbers (fractions), real numbers (including irrational numbers), and complex numbers (numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit). Numbers are fundamental in mathematical operations such as addition, subtraction, multiplication, and division, and they play a central role in various branches of mathematics.

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We are given the graph of a line and asked to find its equation. Recall that we can write the equation of a line as

where (x0, y0) is point on the line and m is the slope of the line.

From the graph, we can identify that points (-3, -2) and (5,4) are on the line. Now let us calculate the slope of the line.

Recall that given points (a,b) and (c,d), the slope of the line that passes through them is given by the formula

In our case we got a=-3, b=-2, c=5 and d=4. So we have

Now, we can use the fact that the point (5,4) is on the line. So we use it as our (x0,y0). So our equation would be

which is equivalent to

Now, we add 4 on both sides, so we get

so the equation of the line is

The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Answer:

MN = 25

Step-by-step explanation:

If LN=45, then the addition of both quantities will be 45.

LN = 3x + 2 + x + 19

3x + 2 + x + 19 = 45

4x + 21 = 45

4x = 45 - 21 = 24

x = 6

Now that we found the value of "x", we can find the lenght of MN

MN = x + 19

MN = 6 + 19

MN = 25

Hope it was helpful ;)

Answer: MN = 25

Step-by-step explanation:

Since the length is already given we just add the equations equal to it.

45 =  3x + 2 + x + 19  Combine like terms

45 = 4x + 21               Subtract 21 from both sides

24 = 4x                       Divide by 4

x = 6

Now we plug x into the equation needed.

X + 19

6 + 19 = 25

Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.

Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.

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Answer:

A. y=-5/3x+1

Step-by-step explanation:

The required equation of the line is 3x + 2y = 8.

What is an equation?

Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also explores and solves Diophantine equations with integer coefficients. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.

The required equation of the line is

(y-4) = (0+6)/(4-8) (x-0)

or, y - 4 = 6/(-4) x

or, y - 4 = -3/2 x

or, 2y - 8 = -3x

or, 3x + 2y = 8

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Answer:

4 miles

Step-by-step explanation:

3 miles plus 1 additional mile is 4 miles.

Use the first and lay set of x,y values.

Rate of change is change in y/ change in x:

7-10 / 5- -1 = -3/6 = -1/2

The answer is A.-1/2

Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.