Find atleast 5 numbers between 1/2 and 1/3

9514 1404 393

Answer:

  y = x +7

Step-by-step explanation:

The slope of the given line can be found as ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -7)/(-1 -3) = -4/-4 = 1

Then the point-slope form of the equation for the desired line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y - 9 = 1(x -2)

  y = x -2 +9

  y = x + 7 . . . . slope-intercept form

__

The attachment shows a graphing application that will write the equation of the line. Here, it shows the desired line has the equation ...

  x -y = -7 . . . . desired line equation in standard form

The required value for the lamina of uniform density [tex]\bar x\\[/tex] and  [tex]\bar y[/tex] are written below,

[tex]\bar x = \dfrac{5}{8}\\[/tex]

[tex]\bar y = \dfrac{5}{14}[/tex]

Given that:

Calculus's core idea of integration entails determining a function's integral. It is a reverse process of differentiation that enables us to compute cumulative numbers, find the area under a curve, solve differential equations, and more.

The function can be written as,

[tex]m = \rho\int_0^1x^{\frac{2}{3}}dx\\= \rho\left[\dfrac{x^{\frac{5}{3}}}{\frac{5}{3}}}\right]\\=\dfrac{3}{5}\rho[/tex]

The value of Mx can be calculated as,

[tex]M_x = \rho\int_0^1\dfrac{x^{\frac{2}{3}}}{2}}\times x^{\frac{2}{3}}dx\\=\dfrac{\rho}{2}\left[\dfrac{x^{(\frac{2}{7})}}{\frac{7}{3}}\right]_0^1\\=\dfrac{3}{14}\rho[/tex]

Calculate the value of My,

[tex]M_y =\rho \int_0^1 x\times x^{\frac{2}{3}}dx\\=\rho \left[\frac{x^\frac{8}{3}}{\dfrac{8}{3}}\right]\\=\dfrac{3}{8}{\rho[/tex]

The value of [tex]\bar x\\[/tex] will be calculated as,

[tex]\bar x = \dfrac{M_x }{m}\\=\dfrac{ \dfrac{3}{8}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{8}[/tex]

The value of [tex]\bar y\\[/tex] is calculated as,

[tex]\bar y= \dfrac{M_y }{m}\\=\dfrac{ \dfrac{3}{14}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{14}[/tex]

Therefore, the required values are [tex]\bar x = \dfrac{5}{8}\\[/tex] and  [tex]\bar y = \dfrac{5}{14}[/tex].

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Answer:

A composite number

Step-by-step explanation:

because it is possible to express it as a product of prime factors. In other words, 33 can be divided by 1, by itself and at least by 3 and 11. So, 33 is a 'composite number'.

Answer:

m∠UVW = 12°

m∠XYZ = 78°

Step-by-step explanation:

m∠UVW = (x - 10)°

m∠XYZ = (4x - 10)°

∠UVW + ∠XYZ = 90°

(x - 10) + (4x - 10) = 90

   x - 10 + 4x - 10 = 90

               5x - 20 = 90

                       5x = 110

                         x = 22

m∠UVW = (22 - 10)° = 12°

m∠XYZ = (4(22) - 10)° = 78°

Answer:

If there are N students, the total cost will be:

C(N) = $500 + $5*N.

And we want the amount that each student pays to be equal or less than $15.

then:

C(N)/N ≤ $15.

Then the inequality that represents this situation is:

($500 + $5*N)/N ≤ $15.

Now, let's solve this:

($500 + $5*N) ≤ $15*N

$500 ≤ $15*N - $5*N

$500 ≤ $10*N

$500/$10 ≤ N

50 ≤ N

So the minimum number of students needed is 50.

Answer:

48 & 68

Step-by-step explanation:

if you multiply the numbers you will see that you get 48 & 68 multiple times

Answer:

y = -2x - 3

Step-by-step explanation:

Slope intercept form of line is

y = mx + c

where

m is the slope and c is the y intercept

________________________________________

Given that line

y = −2x − 4

comparing it with y = mx + c

m = -2 and c = -4

Thus, slope of this line is -2

we also know that when two lines are parallel then their slopes are same

thus, slope of required line will be m = -2

___________________________________________

now let the equation of line passing through (-1,-1) be

y = mx + c

we have found m to be -2

using this in above equation we have

y = -2x + c

since (-1,-1) passes through the above line using x = -1 and y = -1

we have

-1 = -2*-1 + c

-1 = 2 + c

c = -1 - 2 = -3

using c = -3 in y = -2x + c

we have

equation of line as

y = -2x - 3 in slope intercept form.

Answer:

2.5

Step-by-step explanation:

Use the formula y2-y1 divided by x2-x1

Plug in the values: (7-2)/(6-4)

5/2

=2.5

Answer:

90.

Step-by-step explanation:

10, 9 times, means you're adding 10+10+10+10+10+10+10+10+10=90.

Answer: Shannon sold the silver plated frame because 45 divided by 2.5 = $18, which is the wood frame rate.

Step-by-step explanation:

I know this because 45 divided by 2.5 = $18 And that’s the silver plated frame.

Answer:

y = 2/3x + 1/2

Step-by-step explanation:

First, make the equation into a slope-intercept form:

2y + 3x = 1

2y = -3x + 1

y = -1.5x + 0.5

You can make it into a fraction:

y = -3/2x + 1/2

Now here's the equation:

y = 2/3x + 1/2

Hope this helps!

Let me know if I'm wrong :)

Answer:

a. 0.5 g/cc

Step-by-step Explanation:

Given:

Measurement of rectangular prism = 3 cm × 4 cm × 6 cm

Mass of rectangular prism = 36 grams

Required:

Density of rectangular prism

SOLUTION:

[tex] Density = \frac{Mass}{Volume} [/tex]

Mass = 36 g

Volume = 3*4*6 = 72 cm³

[tex] Density = \frac{36}{72} [/tex]

Density = 0.5 g/cc

Answer:

The slope is -13/2x + 20. In decimal form, -6.5x + 20

Answer:

Step-by-step explanation:

1/6

The probability of getting 3 is 1/6.

Probability is defined as the possibility of an event to be happened which is the ratio of no. of favorable outcomes and total no. of outcomes.

Probability of an event = P(E) = No. of favorable outcomes/Total No. of outcomes

Here given that the dice are fair and six-sided is rolled.

Total no. of outcomes by rolling the dice = 6 i.e. {1,2,3,4,5,6}

The event is to get the number 3 by rolling the dice.

The favorable outcome is = {3}

Number of favourable outcomes= 1 i.e. {3}

As the dice is the set of equally likely outcomes.

Probability of getting 3 = P(getting 3)= No. of favorable outcomes/Total No. of outcomes= 1/6

Therefore the probability of getting 3 is 1/6.

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Answer: The correct answer is 6. Hudson evaluated the function at x =17, instead of finding the the value of x.

Step-by-step explanation:

2( 1/2)+5

1+5= 6

Answer:

-4+-6=-10

Step-by-step explanation:

Answer: 17 / 990

Step-by-step explanation:

To obtain the probability of the question above :

Find the count of number pairs whose difference gives is 15 in the range (1 to 100).

Also find the count of all distinct number pair differences

Number pair which have a difference of 15 = 85

Total distinct number pair differences = 4950

Probability = required outcome / Total possible outcomes

P(difference of 15) = 85/4950 = 17/990

Answer:

decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward

Answer:

109 sq in

Step-by-step explanation:

By adding up all the areas in the net, we get 112 sq in. We then use that number to subtract from the area of the cardboard which is 221 sq in. We then get 109 sq in from that. Hope this helps.

Answer:

the answer would be x equal 2.4

Step-by-step explanation:

sorry for my bad handwriting

Answer: D,C,B

Step-by-step explanation:These are the answers

Answer:

2

Step-by-step explanation:

2

Answer:

0.6 in

Step-by-step explanation:

Scale of drawing = ½ inch to 15 ft (½ in : 15 ft)

That is, ratio of the width on paper to actual width.

Given an actual width of 18 ft, the width of the stage on paper can be calculated as shown below:

½ in : 15 ft = x in : 18 ft

[tex] \frac{\frac{1}{2}}{15} = \frac{x}{18} [/tex]

[tex] \frac{1}{2}*\frac{1}{15} = \frac{x}{18} [/tex]

[tex] \frac{1*1}{2*15} = \frac{x}{18} [/tex]

[tex] \frac{1}{30} = \frac{x}{18} [/tex]

Cross multiply

[tex] 30*x = 18*1 [/tex]

[tex] 30x = 18 [/tex]

Divide both sides by 30

[tex] \frac{30x}{30} = \frac{18}{30} [/tex]

[tex] x = \frac{18}{30} = \frac{6}{10} [/tex]

[tex] x = 0.6 [/tex]

Width of the stage in scale drawing = 0.6 in