Find the L.C.M of the given pair of numbers using the prime factors method. 70 and 84​

Answer:

Step-by-step explanation:

Givens

C = 2*pi*r

C = pi*d

C = 125.6

r = d/2

Solution

C = pi *d

125.6 = 3.14 * d           Divide both sides by 3.14

125.6/3.14 = d

d = 40

You can use 1 of 2 methods to get the radius

The easiest one is use

r = d/2

r = 40/2

r = 20

Answer:

Step-by-step explanation:

Slope of the given line = -7

parallel: slope = -7

perpendiculr: slope = -1/(-7) = 1/7

Entering the values obtained from the data in the table based on the

given functions of y = a·x + b, and y = a·|x| + b, we have;

(1) y = -0.0614·x + 1.58772

(2) y = 0.3824·x + 0.91168

The least squares regression formula is presented as follows;

[tex]a = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

(1) From the data in the table, and by using MS Excel, we have;

[tex]\overline x[/tex] = -0.2

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = -1.4

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 22.8

Which gives;

[tex]a = \dfrac{-1.4}{22.8 } \approx \mathbf{-0.0614}[/tex]

1.6 ≈ b - 0.0614 × (-0.2)

b = 1.6 -  0.0614 × (0.2) = 1.58772

The equation of best fit for the function, y = a·x + b, is therefore;

(2) For the function, y = a·|x| + b, we have;

[tex]\overline x[/tex] = 1.8

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = 2.6

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 6.8

Which gives;

[tex]a = \dfrac{2.6}{6.8} \approx \mathbf{0.3824}[/tex]

1.6 ≈ b + 0.3824 × (1.8)

b = 1.6 -  0.3824 × (1.8) = 0.91168

The equation of best fit for the function, y = a·|x| + b, is therefore;

Learn more about the least squares regression line here:

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Answer:

$1.50

Step-by-step explanation:

Answer:

x = $1.50; The cost per pound of tomatoes is $1.50

Step-by-step explanation:

We can the cross method.

4 pounds = $6

1 pound   = x

4x = 6*1

4x=6

4x/4 = 6/4

x= 1 1/2 or $1.50

x = $1.50

The cost per pound of tomatoes is $1.50

Hope this helps!

Answer: 3.1 hours

Step-by-step explanation: Just took the quiz on edg.

  Water will reach a depth of 12 meters after 3.1 hours approximately.

   Function representing the level of water by 'y' and number of hours by 'x' is,

For y = 12 meters, (Substitute the value of y)

[tex]12=2.5\text{cos}(\frac{2\pi x}{12.5})+12[/tex]

[tex]12-12=2.5\text{cos}(\frac{2\pi x}{12.5})[/tex]

[tex]\text{cos}(\frac{2\pi x}{12.5})=0[/tex]

[tex]\frac{2\pi x}{12.5}=\frac{\pi }{2}[/tex]   (Since, [tex]\text{cos}(\frac{\pi }{2})=0[/tex])

[tex]\frac{\pi x}{12.5}=\frac{\pi }{4}[/tex]

[tex]x=\frac{\pi }{4}\times \frac{12.5}{\pi}[/tex]

[tex]x=3.125[/tex]

[tex]x\approx3.1[/tex] hours

    Therefore, water will reach a depth of 12 meters after 3.1 hours approximately.

Learn more,

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Answer:

14

Step-by-step explanation:

If you add 2/5 of 30 (12) to 1/6 of 30 (5) you get 16. You then subtract 30-16! I hope this helps, and have a great day!

Answer:

5 x 9 is 45

Step-by-step explanation:

just is loll

Step-by-step explanation:

please mark me as brainlist please

Answer:

0.345

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 5, r = 2, p = 0.41, and q = 0.59.

P = ₅C₂ (0.41)² (0.59)⁵⁻²

P = 0.345

Answer:

If you are asking for the median, it's 9.

explanation:

Find the middle number and round it up. That is how to find median.

Answer:

Step-by-step explanation:

x is smallest integer

x + (x + 1) + (x + 2) = 72

3x + 3 = 72

3x = 69

x = 23.

This means that the integers are 23, 24, and 25.

Answer:

How many minutes does it take to travel to school?

Step-by-step explanation:

A statistical question means you expect variability in the responses.

For instance, if you look at the first question, there's only 1 answer, so there's no variability. If you look at the second question, there's also only 1 answer.

How many minutes does it take to travel to school?

======================================================

Explanation:

Choice A is not a statistical question because we don't need to use statistics to find the answer. We simply count out the number of even numbers between 10 and 20. There's no need to draw a random sample of elements and do statistical analysis.

The same goes for choice B as well. There are 7 letters in this word and this value does not fluctuate/change.

Therefore we rule out choices A and B.

Choice C on the other hand has its answer vary depending on which person you ask. If you ask enough people, then you can find the average number of minutes, which is one tool to do statistics. This variable is considered a random variable (RV).

Step-by-step explanation:

by graph method

x = -b/2a

b = 3, a = -9

x = -3/-18

x = 1/6

back to the equation to substitute

-9x + 3y = 12

-9(1/6) + 3y = 12

- 3/2 + 3y = 12

-3 + 6y = 24

6y = 27

y = 9/2

x = 1/6, y = 9/2

Answer:

6 1/2 hours

Step-by-step explanation:

3 1/2 + 1/2 + 2 1/2

4 + 2 1/2

6 1/2

First add the 3 1/2 and the 1/2 together to get 4. Then you add the 2 1/2 to the 4 to get 6 1/2. :)

Hope this helped!

Have an amazing day!!

PLEASE RATE!!

Answer: 12hrs 30mins

Step-by-step explanation: 3hrs 30mins + 3hrs + 6hrs = 12hrs 30mins

Hope that helps!

Answer:

b

Step-by-step explanation:

so u have to read careful

Answer:

4/3 is the fraction / the denomonator would then be 3

Step-by-step explanation:

4 shaded on the top and 3 shaded on the bottom. The numerator is on the top and the denomonator is on the bottom.

Answer:

85

Step-by-step explanation:

82×4=328

328=74+85+84+x

x=328-74-85-84

x=85

Answer: Answer C and D

Equations:

A. 4+4+4+4 | 16 = 4 | 1+1+1+1

B. 4+4+4+4 | 16 = 1

C. 4+1+1 | 6 = 6 | 1+1+1+1+1+1

D. 4+4 | 8 = 8 | 1+1+1+1+1+1+1+1

Mark as brainliest if this helps! :)

Answer:

image is attached (shaded area is where x could be)

Step-by-step explanation:

[tex]6x < 90[/tex]

divide both sides by 6

[tex]x < 15[/tex]

this means x is strictly less than 15

Answer:

4/9

Step-by-step explanation:

find common denominator which is 9

1/9 + 3/9 (I change the numerator because since we multiplied the bottom you do the top)

now add

1/9 + 3/9 = 4/9

hope that helps and makes since

Answer: 4/9

Step-by-step explanation: 1/9 + 1/3(which is 3/9) = 4/9.

your answer is 64cm

thats it

3

1/7 of 21

=1/7 ×21

=1×3

please please please please please please

Answer:

i dont know can someone help me out im dying over here

Answer:

x^3+19x^2+119x+245

Step-by-step explanation:

The required value of function (f:g)(x) would be (x + 5) which is the ratio of function f(x) and g(x).

The quadratic equation is defined as a function containing the highest power of a variable is two.

Given that f(x) = x² + 12x + 35 and g(x) = x + 7

As per the question,

⇒ (f:g)(x) = (x² + 12x + 35) : (x + 7)

⇒ (f:g)(x) = (x² + 12x + 35) / (x + 7)

Solve the above quadratic equation, and we get

⇒ (f:g)(x) = (x² + 5x + 7x + 35) / (x + 7)

⇒ (f:g)(x) = x(x + 5) + 7(x + 5) / (x + 7)

⇒ (f:g)(x) = (x + 5)(x + 7) / (x + 7)

⇒ (f:g)(x) = (x + 5)

Therefore, the required value of function (f:g)(x) would be (x + 5).

Learn more about the quadratic function here:

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Solution:

We know that:

[tex]Surface \ area = 2LB + 2BH + 2LH[/tex]

Step-1: Substitute the length, breadth, and height.

Step-2: Find the surface area.

[tex]\\ \rm\Rrightarrow TSA=2(LB+BH+LH)[/tex]

[tex]\\ \rm\Rrightarrow TSA=2(126+117+182)[/tex]

[tex]\\ \rm\Rrightarrow TSA=850ft^2[/tex]

Answer:

75

Step-by-step explanation:

The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)

Answer:

Step-by-step explanation:

1. Let's review the information given to

1. Let's review the information given tous to answer the question correctly:

1. Let's review the information given tous to answer the question correctly:Mass of the cube made out of lead = 12

= 12grams

Side of the cube = 1 cm

2. What would be the mass of a lead

What would be the mass of a leadcube whose sides have length 1.5 cm?

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let's

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube and

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube andthen its density, this way:

Let's recall the formula of the density:

Density Mass/Volume, therefore:

Density of the lead = 12/1= 12 gr/cm

Now, let's calculate the volume of the

Now, let's calculate the volume of thesecond cube:

Finally, let's calculate the mass, using

Finally, let's calculate the mass, usingthe density of the lead we already

Finally, let's calculate the mass, usingthe density of the lead we alreadyknow:

Answer:

It's a straight line

Step-by-step explanation:

The line has a slope of 3/5 and a y-axis crossing of -3