Find five rational numbers between 1 and 2

Answer:

Algebra and geometry...

Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....

Step-by-step explanation:

hope the answer was helpful ......

Answer:

Step-by-step explanation:

Yes

Answer:

it's no

Step-by-step explanation:

6 = 5(2) - 4

7 = -1/2(2) + 8

they don't meet at (2,6)

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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Answer:

y = 1/2 x

Step-by-step explanation:

y = mx + b

We need to find the m (slope) and the b (y-intercept)

The slope is the change in y over the change in x.  Use to points on the line to find the slope.

(4,2) and (6,3)

\(\frac{3-2}{6-4}\) = \(\frac{1}{2}\)

The slope (m) is 1/2.

Use the slope and one of the points to calculate b

I will use the point (4,2)

y = mx + b

2 = 1/2(4) +b

2 = 2 +b  Subtract 2 from both sides

0 = b

The y-intercept (b) is 0

y = _m + _

y = 1/2x + 0  

y = 1/2 x

Helping in the name of Jesus.

Answer: : Instead of trying to solve that problem, state a simpler Ten people are being problem and solve it instead. honored for their work in reducing pollution. In how many ways can we line up these people for a picture? Which of the following is & simpler version of the given problem? In how many ways can ten people be selected from group of fifteen people? In how many - ways can three people be selected from group of ten people? In how many ways can three people be lined up for a picture? how many ways can fifteen people be lined Up for a picture What is the solution to this simpler problem? waj: ~Fe 7 ( andanen cick Check Answ

Answer:

  32 seconds

Step-by-step explanation:

For some number of seconds (s), Tess's essay length (t) will be ...

  t = 42 +1.3s

and Margo's essay length (m) will be ...

  m = 122 -1.2s

We will have t > m when ...

  t > m

  42 +1.3s > 122 -1.2s

  2.5s > 80 . . . . . . . . add 1.2s-42

  s > 32 . . . . . . . . . . . divide by 2.5

After 32 seconds, Tess's essay will exceed Margo's in length.

Answer:

100

Step-by-step explanation:

The volume of box will be 100 cubic units.

What is Mathematical function ?

Mathematical function is the representation of relation between independent variables and dependent variables.

The volume of the box is given by the function :

\(V(x)&=5x^{2}+5x\)

and the volume of box at x = 4 units is calculated :

\(\begin{aligned}V(x)&=5x^{2}+5x\\V(x=4)&=5(4)^{2}+5\cdot 4\\&=100\text{ cubic\:units}\end{aligned}\)

Therefore, the volume of the cube is 100 cubic units.

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Answer:

\(y=3x-7\)

Step-by-step explanation:

Parallel lines, by definition, never intersect. They have the same slope but different y-intercepts (otherwise they would be the same line) on a graph.

Slope-Intercept Form:

Slope-Intercept form is expressed as: \(y=mx+b\), where

This form is super useful for linear equations as it gives us the two key features of a linear equation. It's how each of the options are formatted, so we know we'll have to use this form.

The line is parallel to \(y=3x-4\), meaning it has a slope of 3, but also a y-intercept other than -4 (otherwise they would be the same equation).

So we can generally form an equation: \(y=3x+b\text{, }b\ne-4\), so we can plug any value for "b" here (except -4) and have a parallel line

Since we not only want to find a parallel line, but also one that passes through a specific point, we can use our general parallel equation: \(y=3x+b\text{, }b\ne-4\), and plug in known values. We of course already have the slope plugged in, but now we have a (x, y) coordinate, which we can plug in for x and y in the equation.

Original Equation:

\(y=3x+b\)

Point given: (3, 2), substitute in x=3 and y=2:

\(2=3(3)+b\)

Simplify:

\(2=9+b\)

Subtract 9 from both sides:

\(-7=b\)

Now we can take this value. and plug it back into the general equation:

\(y=3x+(-7)\implies y=3x-7\)

Now we have our answer!

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

The resultant force acting on the block is 47.6N.

The acceleration of the block will be 23.8 m/s².

The speed of the block after 5 seconds of movement is 119 m/s.

In this question, we need to make use of Newton's second law, hence:

resultant force = mass × acceleration

So, for question a. The value of the resultant force  will be obtained by adding the two forces together:

resultant force = F₁ + F₂

                       = 25N + 22.6N

                        = 47.6N

b.  Its acceleration will be:

acceleration = resultant force / mass

                  = 47.6N / 2kg

                  = 23.8 m/s²

c. The speed of the block after 5 seconds of movement will be:

Velocity  (v) = u + at

velocity = initial velocity + acceleration x time

Based on the block was initially at rest, the initial velocity is 0.

Hence:

V = acceleration x time

    = 23.8 m/s² x 5s

     = 119 m/s

Hence the speed of the block after 5 seconds of movement will be: 119 m/s.

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See full text below

The block in the figure is at rest when the forces begin to act.

F₁ = 25N

F, = 22.6 N

m = 2kg

to. Find the value of the resultant force.

b. Determine its acceleration.

C. Calculate the speed of the block after 5 seconds of movement.

The value of the function f(-1) is 1/3. Option D

A function can be defined as a law, an expression or rule that is used to show the relationship between two variables.

These variables are listed as;

From the information given, we have the function written as;

f(x) = 3ˣ

To determine the function f(-1), we need to substitute the value of the variable x as -1 in the function f(x)

Substitute the values, we have;

f(-1) = 3⁻¹

Take the inverse of the value, we get;

f(-1) = 1/3

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Answer: y=1/5x

Step-by-step explanation:

Answer:

It is y = y equals 1 Over 5 x Or Y=1/5x.

Step-by-step explanation:

Did it on edge 2020

Proof:

Answer:

To find the x and y intercepts, we set x and y to zero respectively:

x-intercept: setting y = 0 gives us 6/(x^2 - 5x - 6) = 0, which has no real solutions.

y-intercept: setting x = 0 gives us s(0) = 6/(-6) = -1.

To find the vertical asymptotes, we set the denominator equal to zero and solve for x:

x^2 - 5x - 6 = 0

(x - 6)(x + 1) = 0

This gives us two vertical asymptotes at x = 6 and x = -1.

To find the horizontal asymptote, we need to look at the behavior of the function as x approaches infinity and negative infinity. As x becomes very large in magnitude, the terms involving x^2 become much larger than the terms involving x or the constant term, and so we can ignore those terms. This gives us:

s(x) ≈ 6/x^2 as x → ±∞

Therefore, the horizontal asymptote is y = 0.

In summary:

x-intercept: none

y-intercept: (0, -1)

vertical asymptotes: x = 6 and x = -1

horizontal asymptote: y = 0

If you have anymore questions, feel free to comment and I will answer them 8-5 I am on.

Step-by-step explanation:

Answer:

One Solution: 3

Step-by-step explanation:

5x - 9 = -24 + 10x

Subtract 5x from both sides. -9 = -24 + 5x

Add 24 to both sides. 15 = 5x

Dived 15/5. 3 = x

Then g(x) is a translation of 3 units downwards of f(x). The correct option is B.

Here we have:

\(f(x) = \sqrt{x}\)

first we want to evaluate it in x = 0, 1, 4, 9.

Doing that we get:

\(f(0) = \sqrt{0} = 0\\f(1) = \sqrt{1} = 1\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3\)

The other function is:

\(g(x) = \sqrt{x} -3\)

Evaluating in the same values of x.

\(g(0) = \sqrt{0} -3 = -3\\g(1) = \sqrt{1} -3 = -2\\g(4) = \sqrt{4} -3 = -1\\g(9) = \sqrt{9} -3 = 0\)

Then we can see that for all the values of x, g(x) is 3 units less than f(x).

Then g(x) is a translation of 3 units downwards of f(x). The correct option is B.

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Answer:

He was known as the inventor of books and the calendar, the giver of maize (corn) to mankind, and sometimes as a symbol of death and resurrection. Quetzalcoatl was also the patron of the priests and the title of the twin Aztec high priests.

Step-by-step explanation:

i think sorry if it was not the right answer

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

What type of math is this

Step-by-step explanation:

Given data

Given claim: proportional difference from 57%

Thus,

The sample size n is the number of parents surveyed from the entire population

Since the sample size is greater than 5% of the population, it can be reasonably assumed to be random.

The requirements for testing the hypothesis are satisfied.

The space shuttle travels about 6713 miles per hour. Rounded to the nearest mile, this is approximately 6713 miles per hour.

What is a radius ?

In mathematics, the radius is a term used to describe the distance from the center of a circle or a sphere to any point on its surface. It is denoted by the letter "r".

The orbit of the space shuttle is circular, so the distance it travels in one orbit is equal to the circumference of the circle with a radius of 275 + 4000 = 4275 miles (275 miles above the Earth's 4000 mile radius).

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle and π is the mathematical constant pi (approximately 3.14). Therefore, the distance traveled by the shuttle in one orbit is:

C = 2π(4275) ≈ 26851 miles

Since the shuttle orbits once every 4 hours, its average speed is:

distance/time = 26851/4 ≈ 6713 miles per hour

Therefore, the space shuttle travels about 6713 miles per hour. Rounded to the nearest mile, this is approximately 6713 miles per hour.

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Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

\(Salary = Rs23000\)

Step-by-step explanation:

Given

\(Shopping = \frac{1}{5}\)

\(Sister = \frac{2}{5}R\)

\(Left over = Rs11,040\)

Required

Her salary in that month

Given that she spent \(\frac{1}{5}\) of her salary on shopping, this implies that she has \(\frac{4}{5}\) of her salary left

From what's left, she gave her sister \(\frac{2}{5}\)

This means she gave her sister \(\frac{2}{5} * \frac{4}{5}\)

Sister = \(\frac{8}{25}\)

Calculating a fraction of what's left

\(Left over = 1 -Shopping - Sister\)

\(Left over = 1 - \frac{1}{5}- \frac{8}{25}\)

\(Left over = \frac{25 - 5 - 8}{25}\)

\(Left over = \frac{12}{25}\)

Recall that she has Rs11,040

This means that

\(\frac{12}{25} of Salary = Rs11,040\)

Multiply both sides by \(\frac{25}{12}\)

\(\frac{12}{25} * \frac{25}{12} * Salary = Rs11,040 * \frac{25}{12}\)

\(Salary = Rs11,040 * \frac{25}{12}\)

\(Salary = \frac{Rs276000}{12}\)

\(Salary = Rs23000\)

Hence, her salary for that month was Rs23000

Answer:

Her salary = Rs 23000

Step-by-step explanation:

In a month, Ezhil spent 1/5 of her salary on shopping.

Let

Her salary = a

she spent 1/5 of a on shopping

Amount spent on shopping = 1a/5

She gave 2/5 of the remaining to her sister .

The remaining money = a - 1a/5 = 5a - a/5 = 4a/5

She gave 2/5 of 4a/5 to her sister. Therefore,

The amount she gave to her sister = 2/5 × 4a/5 = 8a/25

Out of her salary she is left with Rs 11040 .Therefore,

a - 1a/5 - 8a/25 = 11040

25a - 5a - 8a/25 = 11040

12a/25 = 11040

12a = 11040 × 25

12a = 276000

divide both sides by 12

a = 276000/12

a = 23000

Her salary = Rs 23000

Answer:

The claim is true for all values of m.

Step-by-step explanation:

Given

\(y = 2 + mx\)

Required

Which claim is true [See comment for options]

A linear equation is represented as:

\(y = mx + c\)

Where

\(m = slope\)

And the value of m knows no bound

i..e

\(m > 0\)

\(m = 0\)

\(m < 0\)

Hence, (a) is correct

Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Complete Question:

Football and Cognitive Percentile A recent study1 examined several variables on collegiate football players, including the variable Years, which is number of years playing football, and the variable Percentile, which gives percentile on a cognitive reaction test. The regression line for predicting Percentile from Years is:

Percentile = 102 - 3.34(years)

1Singh R, et al., "Relationship of Collegiate Football Experience and Concussion with Hippocampal Volume and Cognitive Outcomes", JAMA, 311(18), 2014. Data values are estimated from information in the paper. Predict the cognitive percentile for someone who has played football for 11 years and for someone who has played football for 17 years. Enter the exact answers.

Answer:

cognitive percentile for someone who has played football for 11 years = 65.26

cognitive percentile for someone who has played football for 17 years = 45.22

Step-by-step explanation:

This is a very straight forward question. The regression line for predicting percentile from the number of years has been explicitly given in the question as:

Percentile = 102 - 3.34(years)

Therefore,

the cognitive percentile for someone who has played football for 11 years will be calculated as:

Percentile = 102 - 3.34(11)

Percentile = 102 - 36.74

Percentile = 65.26

the cognitive percentile for someone who has played football for 17 years will be calculated as:

Percentile = 102 - 3.34(17)

Percentile = 102 - 56.78

Percentile = 45.22