Some pedometers have a default setting that assumes that the number of steps a person must take to walk 1 mile decreases by 33 steps per 1 inch increase in height. Suppose a person 72 inches tall makes 2,250 steps per mile.

A. Find a linear model of the number of steps S per mile as a function of height h (in inches).
S = ______

B. Use the model to predict the number of steps per mile a person who is 68 inches tall will take.

Given that the particle is in equilibrium, the value of p = 2.5 and the value of q = -1.5

To answer the question, we need to know what force are

A force that thing which cause a change in motion of an object

Since there are three forces (15i + j) N, (5qi – pj) N and (-3pi - qj) N, where p and q are constants, act on a particle. Given that the particle is in equilibrium, the resultant force on the particle is zero.

A resultant force is a vector sum of two or more forces

So,  (15i + j) N + (5qi – pj) N + (-3pi - qj) N = 0i + 0j

15i + 5qi - 3pi + j - pj - qj = 0i + 0j

(15 + 5q - 3p)i + (1 - p - q)j = 0i + 0j

Equating components, we have

15 + 5q - 3p = 0 and 1 - p - q = 0

5q - 3p = -15 (1) and - p - q = -1

5q - 3p = -15 (1) and p + q = 1 (2)

From equation (2), p = 1 - q (3).

Substituting p into (1), we have

5q - 3p = -15 (1)

5q - 3(1 - q) = -15

5q - 3 + 3q = -15

5q + 3q = -15 + 3

8q = -12

q = -12/8

q = -3/2

q = - 1.5

Substituing q into (3), we have

p = 1 - q

p = 1 - (-3/2)

p = 1 + 3/2

p = (2 + 3)/2

p = 5/2

p = 2.5

So, the value of p = 2.5 and the value of q = -1.5

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Answer:

3 x 5= 15

Step-by-step explanation:

If you count by 5's like 5, 10, 15, 20
And if you count by 3's: 3, 6, 9, 12, 15
then find the least common multiple and it is 15

Please mark me as the Branlyest ;) Thanks

Answer:

3 x 5 = 15

Step-by-step explanation:

3 + 3 + 3 + 3 + 3 = 15

I hope this helps!

Answer: [tex]x < 8\\[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Interval Notation: (-∞, 8)

The equivalent inequality to 5(2x-6)+6(3-x)<2x+4 is x < 8.

Let's simplify the given inequality step by step:

Original inequality: 5(2x - 6) + 6(3 - x) < 2x + 4

Distribute the constants inside the parentheses:

10x - 30 + 18 - 6x < 2x + 4

Combine like terms on the left side:

(10x - 6x) - 30 + 18 < 2x + 4

4x - 12 < 2x + 4

Subtract 2x from both sides to isolate the x terms on the left side:

4x - 2x - 12 < 4

Simplify:

2x - 12 < 4

Now, add 12 to both sides:

2x - 12 + 12 < 4 + 12

2x < 16

Finally, divide both sides by 2:

2x / 2 < 16 / 2

x < 8

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Answer:

[tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} + \frac{4}{6} = \frac{10}{6} = \frac{5}{3} = 1\frac{2}{3}[/tex]

Answer:

$ 1.725

Step-by-step explanation:

4 Pack of coffee = $ 6.90

1 Pack of coffee = $ 6.90 / 4 = $ 1.725

( The word per means " 1 " )

Answer:

$1.73

Step-by-step explanation:

To get the price of one bottle, set up a proportion.

let x = the price of one bottle

the numerator will be the price of the bottles and the denominator will be the number of bottles.

6.90 / 4  = x / 1

cross multiply: 6.90 = 4x

solve for x by dividing by 4 on both sides

6.90/4 = 4x / 4

x = 1.725, round up to $1.73

The sum of -4 + 3i and -2 - i implies that we plot -6 on the real side, and 2i on the imaginary side of the complex plane

The complex numbers are given as:

-4 + 3i and -2 - i

The sum of these numbers is represented as:

Sum = -4 + 3i -2 - i

Collect the like terms

Sum = -4  -2 + 3i - i

Evaluate the like terms

Sum = -6 + 2i

The above means that we plot -6 on the real side, and 2i on the imaginary side of the complex plane

See attachment for the graph of the sum

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31 and 35.

Sure hope this helps you

Answer:

56 minute 40 seconds

Explanation:

unit rate: 6 meters per minute

The elevator starts from 20 m below ground level.

So, in total have to cover distance = 20 + 320 = 340 meter

Time taken = distance/speed

                   = 340/6

                   = 56.67 minute

                   ≈ 56 minute 40 seconds

Answer:

8/9 will be left over

Step-by-step explanation:

3 7/9 + 5 1/3= 9 1/9

Now subtract the amount of paint needed by how much paint there is:

10- 9 1/9= 8/9

Therefore, 8/9 will be left over

Hope this helps

Answer:

That is a rectangular prism

Step-by-step explanation:

Because I'm smart

Answer:

f(7)=40

f(3)=16

Step-by-step explanation:

f(0)=6(7)-2

y=42-2

y=40

f(0)=6(3)-2

y=18-2

y=16

Answer:

what is actually the question please

Answer:

-101485

Step-by-step explanation:

it seems like your question is incomplete, you dont have all the signs. this is the answer i got

Answer:

D. quadrant III

Step-by-step explanation:

Answer:

L=5cm

Step-by-step explanation:

[tex]p = 2(l + w) \\ 24 = 2(l + 7) \\ l + 7 = 12 \\ l = 5cm[/tex]

Answer:

[tex]\huge\purple{ x^2 +(y+2)^2 = 4}[/tex]

Step-by-step explanation:

Circle is centred at (0, -2)

-> h = 0 & k = - 2

radius of the circle (r) = y-coordinate of the center = - 2

Equation of circle in standard form is given as:

[tex](x-h)^2 +(y-k)^2 = r^2[/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex](x-0)^2 +[y-(-2)]^2 = (-2)^2[/tex]

[tex]\implies\huge\orange{ x^2 +(y+2)^2 = 4}[/tex]

This is the required equation of circle.

Answer:

I would say that the travling time is 3.5 hours and the Stationary time would be 2.5 hours.

Step-by-step explanation:

I'm sorry if I'm worng, (Can I get brainliest??)

Answer:

r = d/2

r = 10.2/2 = 5.1

Area = pi * r^2

Area = 3.14 * 5.1^2

Area = 81.67 in^2

To the nearest 1/10, this is 81.7 in^2

If both printers work together. Then the number of the pamphlets will be 20x in four hours.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job.

The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours.

Let x be the number of the pamphlets are printed by the old printer in one hour.

Then the number of the pamphlets are printed by the new printer in one hour will be 4x.

Then if they work together, then the  number of the pamphlets in one hour will be 5x.

Then the number of the pamphlets in 4 hour will be

→ 5x × 4

→ 20x

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Answer:

I think you are intended to pick A as your answer. But D is a thorn. The question especially D is not worded accurately.

Step-by-step explanation:

Remark

I take it that you are asked what the relationship between a and b is. What you can say is that a and b are a linear pair if a and be have 1 leg on a ray. I will treat it that way, but you should always question whether that is true or not.

Solution

Adjacent Math meaning: Each angle has a common side and a common point where they meet. A and B are adjacent: True.

Linear Pair. True A and B are adjacent angles and they are also supplementary. So C and E are both true.

That makes D incorrect.

Answer:

So we just multiply the two numbers together and we get [tex]\frac{14}{7}[/tex] and if we simplify this even more we just get down to 2 which is our final answer.  That would best match with Option D, 2

Hope this helps!  Let me know if you have any questions

Answer:

2 the answer is and always will be 2

Step-by-step explanation:

just know it

The distance between two parallel lines  y=x+3 and y=x+1 will be equal to

[tex]d=\dfrac{1}{\sqrt{2}}[/tex]

The lines which do not intersect to each other and only intersect at infinity are called parallel lines.

Here we have two lines:-

y=x+3

y=x+1

The formula for the distance between two parallel lines is given by:-

[tex]d=\dfrac{|C_1-C_2|}{\sqrt{a^2+b^2}}[/tex]

We have C1=3 C2=1 a=1 b=1 by putting the value in the formula we will get:-

[tex]d=\dfrac{3-2}{\sqrt{1^2+1^2}}=\dfrac{1}{\sqrt{2}}[/tex]

Hence distance between two parallel lines  y=x+3 and y=x+1 will be equal to  [tex]d=\dfrac{1}{\sqrt{2}}[/tex]

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Answer:

24416.64 cubic centimeters

Step-by-step explanation:

The equation for the volume of a sphere is [tex]V=4/3\pi r^3[/tex]. The radius given is 18cm and we are instructed to use 3.14 instead of pi, so our equation will be [tex]V=4/3(3.14)(18^3)[/tex]. Once this is multiplied out, we see that the volume of the sphere is 24416.64 cubic centimeters.

Hope this helps! :)

Answer:

89.3 but im not 100% sure Hope this helps!!

Step-by-step explanation:

Answer:

the height forms a right triangle with the slant height as the hypotenuse and half of the base diagonal as the other leg

(height)^2 = (slant height)^2 - (half of base diagonal)^2

h^2 = 83.3^2 - (10.8 √2)^2

I think so, I hope it helps :)

Answer:

B

Step-by-step explanation:

It matches 3 of the 4 rows.

Answer:

1.thursday

his expenses was p26.85

2.monday he spent p40.8

3.18.90+23.15+11.80+16.35+9.20=approximately p55.6×30 days=p1,668

4.693.80-1,668

so he savings is completely enough

B. It could be costly to initially switch to.

A disadvantage of renewable energy would be It could be costly to initially switch to. Hence option B is true.

Used the definition of renewable energy that states,

Renewable energy is energy that comes from a source that won't run out. They are natural and self-replenishing and usually have a low- or zero-carbon footprint.

Now, Renewable energy sources have numerous advantages, such as being environmentally friendly and sustainable, one of the disadvantages is the initial high cost of transitioning from traditional energy sources to renewable ones.

Since renewable energy sources do not create large amounts of pollution.

Additionally, renewable energy has the potential to produce ample power to meet our needs.

Finally, the fact that renewable energy will not run out is actually an advantage, not a disadvantage.

Hence, Option B is true.

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