The quotient of a number and 5 is 17

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.)

To know more about equidistant, refer here:

https://brainly.com/question/29886221#

#SPJ11

This is the required polynomial function of degree 4 with leading coefficient as 1 and zeros are given as (5, 0), (3, 0), (-2, 0), and (4, 0) and y-intercept at (0, 120)

The polynomial function can be written in factored form by multiplying the factors which give the zeros of the function and the leading coefficient. The polynomial function of degree 4 with leading coefficient is 1, and zeros are given as (5, 0), (3, 0), (-2, 0), and (4, 0).

The factors are (x - 5), (x - 3), (x + 2), and (x - 4) since they produce the zeros of the polynomial function.

These factors can be multiplied as shown below:$$ P(x) = a(x - 5)(x - 3)(x + 2)(x - 4) $$The value of a is equal to 3/2 which is obtained from the given y-intercept at (0, 120).$$ P(x) = \frac{3}{2}(x - 5)(x - 3)(x + 2)(x - 4) $$.

To learn more about : function

https://brainly.com/question/11624077

#SPJ8

Five times A money added to B money is more than 51.00 and three times A money minus B money is 21.00. Suppose, A and B represents money in dollars, then: value A > 9 and B > 6.

Making equations from statements

Five times A money added to B money is more than 51.00, so

5A + B > 51   ... (1)

Three times A money minus B money is 21.00, so

3A - B = 21

      -B = 21 - 3A

       B = 3A - 21   ... (2)

Substitute B = 3A - 21 into the equation (1)

5A + B > 51

5A + 3A - 21 > 51

      5A + 3A > 51 + 21

               8A > 72

                 A > \(\displaystyle \frac{72}{8}\)

                 A > 9

Substitute A = 9 into the equation (1)

5A + B > 51

5 × 9 + B > 51

45 + B > 51

        B > 51 - 45

        B > 6

Learn more about other the equation of two variables here:

brainly.com/question/24085666

#SPJ4

The total number of women who attended the party is 72.

Expression:

An act, process, or instance of representing in a medium (such as words): utterance. freedom of expression. b(1): something that manifests, embodies, or symbolizes something else. this gift is an expression of my admiration for you.

Here we have to find the number of women who attended the party.

Here it is given that 12 men attended the party.

Each woman danced with exactly two men and each man danced with exactly three women.

So we have to find the number of women.

Number of women = 12 × 3×× 2

= 72

Therefore the number of women is 72.

To know more about the expression refer to the link given below:

https://brainly.com/question/24734894

#SPJ4

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

Answer:

x=3, x=-3 or x=3i, x=-3i

two real and two complex

Step-by-step explanation:

x^2=9 or x^2=-9

x=3, x=-3 or x=3i, x=-3i

Using linear approximation, we can estimate the quantity \(126^(^1^/^2^)\) by choosing a value of a close to 126 to minimize the error.

Linear approximation is a method that allows us to approximate the value of a function near a specific point by using the tangent line at that point. To estimate the quantity\(126^(^1^/^2^)\), we choose a value of a close to 126, which will serve as the point for our linear approximation. Let's say we choose a = 121, which is close to 126.

Next, we find the equation of the tangent line to the function f(x) = \(x^(^1^/^2^)\)at x = a. The equation of the tangent line can be expressed as y = f(a) + f'(a)(x - a), where f'(a) represents the derivative of f(x) at x = a.

In this case, f(x) = x^(1/2), and its derivative f'(x) = (1/2)\(x^(^-^1^/^2^)\). Evaluating f'(a) at a = 121, we find f'(121) = \((1/2)(121)^(^-^1^/^2^)\)= 1/22.

Now, we substitute these values into the equation of the tangent line: y = f(121) + f'(121)(x - 121). Since f(121) = 11 and f'(121) = 1/22, the equation simplifies to y = 11 + (1/22)(x - 121).

To estimate 126^(1/2), we substitute x = 126 into the equation of the tangent line: y = 11 + (1/22)(126 - 121). Simplifying this expression, we find y ≈ 11.227.

Therefore, using linear approximation, we estimate that \(126^(^1^/^2^)\) is approximately 11.227, with a small error due to the linear approximation.

Learn more about: Approximation,

brainly.com/question/16315366

#SPJ11

Answer:

number of students in a van = 8

number of students in a minibus = 22

Step-by-step explanation:

Let

x = number of students in a van

y = number of students in a minibus

8x + 8y = 240 (1)

4x + y = 54 (2)

Multiply (2) by 8 to eliminate y

4x + y = 54 ×8

32x + 8y = 432 (3)

8x + 8y = 240 (1)

32x + 8y = 432 (3)

Subtract (1) from (3)

32x - 8x = 432 - 240

24x = 192

Divide both sides by 24

x = 192 / 24

= 8

x = 8 students

Substitute x = 8 into (2)

4x + y = 54

4(8) + y = 54

32 + y = 54

y = 54 - 32

= 22

y = 22 students

number of students in a van = 8

number of students in a minibus = 22

The equation is [y = (11/5)x - 3] for the line touches (0, -3) and (5, 8).

In a graph, a line is a straight curve that connects two or more points. It is used to represent relationships between two variables, such as x and y.

To write an equation for the line passing through the points (0,-3) and (5,8), we can use the point-slope form of the equation of a line, which is:

y - y₁ = m(x - x₁)

where m is the slope of the line, and (x₁, y₁) is one of the given points on the line. The slope:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the two given points on the line.

Using the points (0, -3) and (5, 8), we can find the slope:

m = (8 - (-3)) / (5 - 0) = 11/5

Now we can use the point-slope form of the equation of the line, with (0,-3) as the given point:

y - (-3) = (11/5) (x - 0)

Simplifying this equation, we get:

y + 3 = (11/5) x

Subtracting 3 from both sides, we get the final equation for the line:

y = (11/5)x - 3

To know more about line segment, visit:
https://brainly.com/question/280216
#SPJ1

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

Answer:

$416

Step-by-step explanation:

weeks in a year is 52 weeks

52×8=416$

The time Billy should get up to be right on time for school is 6:52 am.

The formula to calculate the time Billy should get up to be right on time for school is as follows: Time Billy Should Get Up = School Start Time - (Time to Get Dressed + Time to Eat Breakfast + Time to Walk to School). In this case, the formula is: Time Billy Should Get Up = 8:35 am - (32 minutes + 13 minutes + 17 minutes). In order to solve this equation, first we must convert the minutes to hours. 32 minutes is equal to 0.53 hours and 13 minutes is equal to 0.22 hours. 17 minutes is equal to 0.28 hours. Thus, the formula is: Time Billy Should Get Up = 8:35 am - (0.53 hours + 0.22 hours + 0.28 hours). Now, we can solve for the time Billy should get up. 8:35 am minus 0.53 hours is 7:42 am. Then, 7:42 am minus 0.22 hours is 7:20 am. Finally, 7:20 am minus 0.28 hours is 6:52 am. Therefore, the time Billy should get up to be right on time for school is 6:52 am.

Learn more about time here:

https://brainly.com/question/28050940

#SPJ4

Answer:

1: 4

Step-by-step explanation:

to find the ratio

12: 48

divide by the both sides, ththus the answer is 1: 4.

Answer:

A

Step-by-step explanation:

Slope = -0.5

Y-intercept = 34

Equation:  y = -0.5x + 34

Answer = It will take 16 days for the water level to be 26 feet.

The question is an illustration of a linear function.

The given parameters are:

\(\mathbf{Level = 34ft}\)

\(\mathbf{Rate = -0.5ft/day}\)

The equation of the function is:

\(\mathbf{y = Level +Rate \times x}\)

Where:

y represents the water level

x represents the number of days

So, we have:

\(\mathbf{y = 34- 0.5 \times x}\)

\(\mathbf{y = 34- 0.5 x}\)

A linear equation is represented as;

\(\mathbf{y = mx + b}\)

So, by comparison:

\(\mathbf{Slope(m) = -0.5}\)

\(\mathbf{y-intercept (b) = 34}\)

When the water level is 26, it means y = 26.

So, we have:

\(\mathbf{y = 34- 0.5 x}\)

\(\mathbf{26 = 34 - 0.5x}\)

Collect like terms

\(\mathbf{26 - 34= - 0.5x}\)

\(\mathbf{-8= - 0.5x}\)

Divide both sides by -0.5

\(\mathbf{16= x}\)

Rewrite as:

\(\mathbf{x = 16}\)

Hence, the number of days to reach 26ft is 16

Read more about linear functions at:

https://brainly.com/question/20286983

Answer:

A) measure the bearing of A from B

Answer:

A closed cone has 0 verticals.. but 1 vertice

Step-by-step explanation:

Answer:

4^15

Step-by-step explanation:

(4^3)^5

We know a^b^c = a^(b*c)

(4^3)^5 = 4^(3*5) = 4^15

Answer:

\( {4}^{15} \)

Answer B is correct

Step-by-step explanation:

\(( { {4}^{3} })^{5} \\ {4}^{3 \times 5} \\ = {4}^{15} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: 35

Step-by-step explanation:

: i took this quiz before :)

If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.

Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.

The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.

Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:

CPM = ($100,000 / 10,000,000) × 1000 = $10.

So, the CPM is $10.

To know more about Cost per thousand, here

https://brainly.com/question/6448600

#SPJ4

Answer: To determine how much of the radioactive europium will be left after 75 years, we can use the half-life formula:

Amount remaining = Initial amount * (1/2)^(time elapsed / half-life)

Given that the half-life of the radioactive europium is 15 years and the initial amount is 90,624 grams, we can substitute these values into the formula:

Amount remaining = 90,624 * (1/2)^(75 / 15)

Calculating the exponent first:

(75 / 15) = 5

Substituting this back into the formula:

Amount remaining = 90,624 * (1/2)^5

Simplifying the exponent:

(1/2)^5 = 1/32

Substituting this back into the formula:

Amount remaining = 90,624 * 1/32

Simplifying the calculation:

Amount remaining = 2,832 grams

Therefore, after 75 years, there will be approximately 2,832 grams of the radioactive europium left.

Answer:

Step-by-step explanation:

c

The correct statement about the graph will be;

''The graph of the function is positive on (-∞, –7).''

Option C is true.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, root of 2 with multiplicity 4, and a root of 4 with multiplicity 1.  

And, The function has a positive leading coefficient and is of even degree.

Now,

A polynomial function has a root of –7 with multiplicity 2.

Then, we get;

(x + 7)²

And, a root of –1 with multiplicity 1.

Then, we get;

(x + 1)¹ = (x - 1)

And, a root of 2 with multiplicity 4.

Then, we get;

(x - 2)⁴

And, a root of 4 with multiplicity 1.

Then, we get;

(x - 4)¹ = (x - 4)

So, The polynomial is;

P(x) = a (x + 7)² (x + 1) (x - 2)⁴ (x - 4)

After rearranged we get;

P (x) = a (x + 7)²(x - 2)⁴(x + 1) (x - 4)

Now, We check all options as;

For option A; The graph of the function is positive on (2, 4).

Substitute (x, y) = (2, 4) in the polynomial;

P(3) = a  (3 + 7)²(3 - 2)⁴(3 + 1) (3 - 4)

      = a × 100 × 1 × 4 × -1

      = -400a

Thus, The graph of the function is negative on (2, 4).

So, Option A is false.

For option B; The graph of the function is negative on (4,infinity).

Substitute x = 6;

P(6) = a  (6 + 7)²(6 - 2)⁴(6 + 1) (6 - 4)

      = a × 169 × 16 × 7 × 2

      = 37,856a

Thus, The graph of the function is positive on (4,infinity).

So, Option B is false.

For option C; The graph of the function is positive on (-infinity, –7).

Substitute x = -8;

P(-8) = a  (-8 + 7)²(-8 - 2)⁴(- 8 + 1) (-8 - 4)

      = a × 1 × 10,000 × -7 × -12

      = 840,000a

Thus, The graph of the function is positive on (-infinity, –7).

Option C is true.

Therefore, The correct statement about the graph will be;

''The graph of the function is positive on (-∞, –7).''

Option C is true.

Learn more about the function visit:

https://brainly.com/question/3831584

#SPJ6

Answer:

Odd

Step-by-step explanation:

Answer:Consecutive odd numbers near 12 are 11 and 13. Therefore, the numbers are 11 and 13. The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.

Step-by-step explanation: hope this helps

Answer:

The answer is 649.

Step-by-step explanation:

\({\tt{\underline{\underline{\purple{SOLUTION:}}}}}\)

To solve the above equation we will follow the BODMAS rule.

It stands for :

Solving this question by bodmas rule :

\( \tt{ = 9 \times 2 + ({5}^{3} \times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (5 \times 5 \times 5\times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (25 \times 5\times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (125\times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (625) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + 625 + 60 \div 10}\)

\( \tt{ = 9 \times 2 + 625 + 6}\)

\( \tt{ = 18 + 625 + 6}\)

\( \tt{ = 643+ 6}\)

\( \tt{ = \red{649}}\)

Hence, the answer is 649.

\(\rule{300}{2.5}\)

Answer:

A

Step-by-step explanation:

Answer:

Option B is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Step-by-step explanation:

Hey there!!!!

We generally sum up all the angles to get 360° as per given in our question.

Here, in your question, we have values as,

x, 2x, 100°, 110°.

(We have 360° as the sum quadrilateral).

So, x° + 2x° + 100°+110° = 360°

3x°+210°= 360°

3x° = 360° - 210°

or, 3x° = 150°

\(x = \frac{15 0 }{3} \)

Therefore the measure of 2x is (2×50)°=100°.

Hopeit helps...

Answer:

X=50; 2x=2×50=100

Step-by-step explanation:

sum of angles in a quadrilateral is 360°

Therefore; x+2x+100+110=360;

3x+210=360;

3x=360-210;

3x=150;

divide both sides by the co-efficient of x;

3x/3=150/3;

x=50;

therefore 2x=2×50;

2x=100.

Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).

To solve this equation, let's break it down component-wise. Given:

E⃗ = 2A⃗ + 3B⃗

We can write the equation in terms of its components:

Ex = 2Ax + 3Bx

Ey = 2Ay + 3By

We are also given the components of vectors A⃗ and B⃗:

Ax = 5

Ay = 2

Bx = -3

By = -5

Substituting these values into the equation, we have:

Ex = 2(5) + 3(-3)

Ey = 2(2) + 3(-5)

Simplifying:

Ex = 10 - 9

Ey = 4 - 15

Ex = 1

Ey = -11

To know more about vector,

https://brainly.com/question/30543224

#SPJ11

The two triangles n = (75 + 3) / 5 = 18. The measure of angle q is 18 degrees.

1. First, find the value of n by using the equation 5(n - 3) = 75 + 3

2. Next, add 75 and 3 together and divide by 5. This gives us a value of 18 for n.

3. Finally, use the equation 5(n - 3) to determine the measure of angle q in triangle qrs. This equals 5(18 - 3) = 5(15) = 75 degrees.

The two triangles qrs and xyz are similar, meaning they have the same angle measures. In order to find the measure of angle q in triangle qrs, we must first find the value of n. The measure of angle x in triangle xyz is 75 degrees and the measure of angle q in triangle qrs is equal to 5(n - 3) degrees. We can use this equation to solve for the value of n. To do this, we add 75 and 3, then divide by 5. This gives us a value of 18 for n. Therefore, the measure of angle q in triangle qrs is 18 degrees.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Yes, the equation C-1(A+X)B-1=In has a solution, X. To find the solution, first use C-1(A+X)B-1=In to simplify to C-1 AB-1=In+X. Next, use matrix multiplication to expand C-1AB-1 to In+X = AC-1B-1-B-1C-1. Subtract In from both sides of the equation to get X=AC-1B-1-B-1C-1-In. This is the solution for X, where A, B, and C are nan invertible matrices.

Given that A, B, and C are invertible nan matrices, we have to check if the equation C-1(A+X)B-1=In has a solution or not, and if there is a solution, we have to find X.

Let's solve it. Let's multiply both sides of the equation by B and C, respectively, we get C-1(A+X)B-1B = IB and C-1(A+X) = B. Now, we have to multiply both sides by C on the left, so we get C*C-1(A+X) = CB, which becomes A+X = CB.

Now we have to multiply both sides by B-1 on the right, so we get A + XBB-1 = CBB-1, which becomes A + XB-1 = CB-1.Now, we have to multiply both sides by C-1 on the left, so we get C-1A + C-1XB-1 = I.

Now, we have to multiply both sides by B and C, respectively, which results in C-1AC-1B + XC-1B = B. Finally, X = B(C-1AC-1B)B-1 - C-1B + I. We know that if A and B are matrices of the same order, then (AB)-1 = B-1A-1. By using this property, we can write the solution as X = B-1(A-1 + C-1)-1B-1 - C-1B + I. So, the solution exists for the given equation.

For more such matrices related questions

https://brainly.com/question/29108022

#SPJ11