Is -3/4 rational or irrational

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

lo siento no se lo siento

Answer:

The initial value is $5.00

Step-by-step explanation:

The question required us to find the y-intercept or c in the equation of the straight line.

We are given 4 different points on the graph and we are also told the hourly fee. As we know that the graph has total hours on x axis and total cost on y axis, we can calculate the gradient or slope of the graph.

m = (23 - 18.5) / (4 - 3)

m = 4.5

Taking point (3,18.5) for calculating c or y intercept from the equation of straight line that is,

y = m (x) + c

18.5 = 4.5 (3) + c

18.5 = 13.5 + c

18.5 - 13.5 = c

c = 5

So the admission fee is $5.

Answer:

$5.00

Step-by-step explanation:

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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The number that is not a solution of the inequality

6x - 11 ≥ 4x - 13

Is x = -2, option a.

We want to see which of the given numbers is not a solution of the inequality below:

6x - 11 ≥ 4x - 13

To check that, we just need to evaluate the inequality in the given values and see for which value we have a false inequality.

For example, from the first value we will get:

x = -2

6*-2 - 11 ≥ 4*-2 - 13

-12 -11 ≥ -8 - 13

-23 ≥ -21

This is false, thus this is the correct option.

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The population of the town is 11800, and 20% of the people are voters making 2360 voters.

A population is the entire collection of humans, whether that group is a nation or a group of people who share a feature. A population in statistics is the group of people from which a statistical sample is taken for research.

Let x represent the population of the town.

20% of the people in a small town are voters, and there are 2360 voters, hence:

20% of x = 2360

0.2x = 2360

Divide

x = 2360 / 0.2

x = 11800

The population of the town is 11800.

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The population is 11,800 people.

Hope it helps !

The integral using absolute values of ∫1t/(4t-3) dt is (1/4) ln |4t - 3| + C where c for the constant of integration.

To evaluate the integral ∫1t/(4t-3) dt, we can use substitution. Let u = 4t - 3, then du/dt = 4, and dt = du/4. Substituting these expressions, we get:

∫1t/(4t-3) dt = ∫(1/u) (du/4) = (1/4) ln |u| + C

Substituting back u = 4t - 3, we get:

∫1t/(4t-3) dt = (1/4) ln |4t - 3| + C

where C is the constant of integration. Note that we need to take the absolute value of 4t - 3 inside the natural logarithm to handle cases where 4t - 3 < 0 and the integral is undefined when 4t - 3 = 0, which occurs when t = 3/4. Therefore, the integral exists for all values of t except t = 3/4.

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The given statement indicates that 360 varies jointly as 0.1 and 0.6, and inversely as 6. In mathematical terms, this can be represented as:

360 = k * (0.1)^(m) * (0.6)^(n) / (6)^(p)

In this equation, k is the constant of variation, and m, n, and p are the exponents representing the relationship between 360 and the given variables.

To determine the specific values of m, n, and p, we need additional information. Without further details or numerical values, it is not possible to derive the exact equation or the values of the exponents.

The given statement only provides general information about the joint and inverse variation, but not the specific relationship between the variables involved.

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360 varied jointly as 0.1 and 0.6, and inversely as 6 ?

The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways

To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.

First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.

Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.

The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.

Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:

(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)

Simplifying this expression gives a total of 15,946 ways.

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Answer:

12

Step-by-step explanation:

12

Answer:

-10°F

Step-by-step explanation:

The integer that represents the change in temperature (°F) is -10°F. The difference between 10 and 0 is 10, however, since the temperature decreased instead of increasing, 10 is negative (-10).  

Answer:

1: C

2: a is true

b is false

c is true

d is true

i dont 3 sorry

Step-by-step explanation:

Answer the question 1st:

1-corresponding angles=180

then,90+90=180

2-not parallel

3-not parallel

4-corresponding angles=180

          x+x=180

          2x=180

          x=180/2

          x=90degree

5-suppose x for two angles

then, same as 4 no. x + x=180

6= alternate angles are always equal.

To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer:

\(( \frac{7}{10} - \frac{5}{8} )\) ÷ \(\frac{1}{16} = \frac{6}{5}\)

Step-by-step explanation:

\(( \frac{7}{10} - \frac{5}{8} )\) ÷ \(\frac{1}{16}\)

first, do the equation in the bracket:

⇒ \(\frac{7}{10} - \frac{5}{8}\)

before solving, make sure both denominators are the same:

⇒ \(\frac{7}{10} x 8 = \frac{56}{80}\)

⇒ \(\frac{5}{8} x 10 = \frac{50}{80}\)

solve with new equations:

⇒ \(\frac{56}{80} - \frac{50}{80}\)

⇒ \(\frac{6}{80}\)

next take \(\frac{6}{80}\) and divide it to \(\frac{1}{16}\):

( when dividing fractions, multiply the first fraction by the reciprocal of the second fraction = \(\frac{6}{80}\)  x \(\frac{16}{1}\) )

⇒ \(\frac{6}{80}\)  x \(\frac{16}{1}\)

⇒ \(\frac{96}{80}\)

reduce the fraction:

⇒ \(\frac{96}{80}\) = \(\frac{6}{5}\)

The following statements are TRUE about hypothesis testing ;

hypothesis testing is known as statistical inference type that uses data from a sample to develop inferences about a population parameter or population probability distribution. An educated guess is first made on the parameter or distribution.

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A lamp manufacturer designed five lamp bases and four lampshades that could be used together. 20 different arrangements of base and shade can be offered.

The question asks how many different arrangements of base and shade can be offered. The answer is that there are 5 x 4 = 20 different arrangements of lamp base and shade.

There are a total of 5 lamp bases and 4 lampshades that could be used together. To find the number of different arrangements of base and shade that can be offered, we need to multiply the number of lamp bases by the number of lampshades.

5 lamp bases × 4 lampshades = 20 different arrangements

So, the lamp manufacturer can offer 20 different arrangements of base and shade.

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The perimeter of the Christian's sandbox is 24 feet.

The given two quadrialterals are similar

Let us find the remaining lengths of Christian's sandbox

By proportional equation

36/8=18/x=27/y=18/z

4.5=18/x=27/y=18/z

x=18/4.5 = 4

y=27/4.5 = 6

z=4

The perimeter is sum of all the sides

So perimeter of Christian's sandbox is 8+6+4+4

24 feet

Hence, the perimeter of the Christian's sandbox is 24 feet.

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Answer:

Hold on let me seee!!!!!!!

The correct option is B) 35/3 (π³ + 1) units

What is MASS?

Mass (symbolized m) is a dimensionless quantity representing the amount of matter in a particle or object. The standard unit of mass in the International System (SI) is the kilogram (kg).... The mass of an object can be calculated if the forces and accelerations are known. Weight is not the same as weight. Mark me as the most intelligent.

To find the mass of the wire that lies along the curves C1 and C2 and has density δ, we can use the formula for calculating the mass of a curve with variable density.

For curve C1:

r(t) = (3cos(t))i + (3sin(t))j, 0 ≤ t ≤ 2π

The length element ds along C1 can be calculated as:

ds = |r'(t)| dt

r'(t) = (-3sin(t))i + (3cos(t))j

|r'(t)| = √((-3sin(t))² + (3cos(t))²) = 3

Therefore, the length element ds = 3 dt.

The mass element dm along C1 is given by:

dm = δ ds

Substituting δ = 5t² and ds = 3 dt, we have:

dm = 5t² * 3 dt = 15t² dt

The mass of the wire along C1 can be calculated by integrating dm over the range 0 to 2π:

m1 = ∫[0 to 2π] dm

= ∫[0 to 2π] 15t² dt

= 15 ∫[0 to 2π] t² dt

Using the formula for integrating powers of t, we get:

m1 = 15 * [t³/3] evaluated from 0 to 2π

= 15 * [(2π)³/3 - 0³/3]

= 15 * (8π³/3)

= 40π³ units

For curve C2:

r(t) = 3j + tk, 0 ≤ t ≤ 1

δ = 5t²

The length element ds along C2 can be calculated as:

ds = |r'(t)| dt

r'(t) = k

|r'(t)| = 1

Therefore, the length element ds = dt.

The mass element dm along C2 is given by:

dm = δ ds

Substituting δ = 5t² and ds = dt, we have:

dm = 5t² dt

The mass of the wire along C2 can be calculated by integrating dm over the range 0 to 1:

m2 = ∫[0 to 1] dm

= ∫[0 to 1] 5t² dt

= 5 ∫[0 to 1] t² dt

Using the formula for integrating powers of t, we get:

m2 = 5 * [t³/3] evaluated from 0 to 1

= 5 * (1³/3 - 0³/3)

= 5/3 units

The total mass of the wire along C1 and C2 is given by the sum of m1 and m2:

Total mass = m1 + m2

= 40π³ + 5/3 units

Therefore, the mass of the wire that lies along the curves C1 and C2 with the given density is:

35/3 (π³ + 1) units

Hence, the correct option is B) 35/3 (π³ + 1) units.

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Hello!

45% of x = 7.2

45x/100 = 7.2

45x = 7.2 * 100

45x = 720

x = 720/45

x = 16

the number = 16

If r1 and r2 are equivalence relations, then r1 ∩ r2 is also an equivalence relation.

To prove or disprove that the intersection of two equivalence relations, r1 and r2, is an equivalence relation, we need to verify the three properties of an equivalence relation: reflexivity, symmetry, and transitivity.

Reflexivity: An equivalence relation must be reflexive, meaning that every element is related to itself. Let's assume that r1 and r2 are equivalence relations. Since they are both reflexive, it follows that for every element x, (x, x) is in both r1 and r2. Therefore, (x, x) is in the intersection r1 ∩ r2, and the intersection is reflexive.

Symmetry: An equivalence relation must be symmetric, meaning that if two elements x and y are related, then y is also related to x. Let's assume that r1 and r2 are equivalence relations. If (x, y) is in both r1 and r2, then (y, x) must also be in both r1 and r2 since they are symmetric. Therefore, (y, x) is in the intersection r1 ∩ r2, and the intersection is symmetric.

Transitivity: An equivalence relation must be transitive, meaning that if x is related to y and y is related to z, then x is related to z. Let's assume that r1 and r2 are equivalence relations. If (x, y) and (y, z) are in both r1 and r2, then (x, z) must also be in both r1 and r2 since they are transitive. Therefore, (x, z) is in the intersection r1 ∩ r2, and the intersection is transitive.

Since the intersection of r1 and r2 satisfies all three properties of an equivalence relation (reflexivity, symmetry, and transitivity), we can conclude that if r1 and r2 are equivalence relations, then r1 ∩ r2 is also an equivalence relation.

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Answer:

\(y=-\frac{2}{5} x+3\)

Step-by-step explanation:

Slope, line, form.

y=mx+b

Points: 0,3 and -5,5

Find slope: 5-3/-5-0 or -2/5

y=-2/5x+b

5=-2/5(-5)+b

5=2+b

b=3

y=-2/5x+3

Hope this helps ;D

There are 5040 different passwords that are possible

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

Format:

3 letters followed by 4 digits

So, we have

Characters = 3 + 4

Evaluate

Characters = 7

The different passwords that are possible is

Passwords = 7!

Evaluate

Passwords = 5040

Hence, there are 5040 different passwords that are possible i

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Answer:

O is an element (Oxygen) and H2O2 is a compound (Hydrogen Peroxide)

Answer: $5.5

Step-by-step explanation:

Here is the complete question:

L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 a. If the chess club sold each item for the same price, calculate the price of each item. b. Explain the value of each digit in your answer to a using place value terms

Item sold = 486

Total amount = $2673

Price of each item = Total amount/items sold

= 2673/486

= $5.5

Each item costs $5.5.

5.5 = 5 units and 5 tenths.

The first number after the decimal point by the right is the tenths.

Answer:1386cm2

Step-by-step explanation:

Answer:

Step-by-step explanation:

factors of 8

Answer:

F- of a 8* i think

Step-by-step explanation: