Marcus takes 5 steps to move from 8 inches to 113 inches.

Write an equation for this situation then solve for the length of one step.

Hint: Let x = length of one step

Step-by-step explanation:

The equation for circumference is

[tex]c = 2 \pi r[/tex]

Solve for circumference using the equation.

C = 2(3.14)(13)

C = 81.64 km

Let's solve for x using trigonometric relation ( Cos )

we know,

[tex] \cos(30 \degree) = \dfrac{base}{hypotenuse} = \dfrac{ \sqrt{3} }{2} [/tex]

now

[tex] \dfrac{x}{8} = \dfrac{ \sqrt{3} }{2} [/tex]

[tex]x = 8 \times \dfrac{ \sqrt{3} }{2} [/tex]

[tex]x = 4 \sqrt{3} [/tex]

hence, the value of x is [tex] 4 \sqrt{3} [/tex]

Answer:

5

Step-by-step explanation:

the absolute value of -2 is 2

the absolute value of -3 is 3.

Since the question is adding the absolute values, the answer is 5

Answer:

1 gallon = 600 sq ft. So you will need 7 gallons to cover the whole wall

Step-by-step explanation:

4200 ÷ 600 = 7

Answer:

7

Step-by-step explanation:

Divide the total wall space by the amount in 1 gallon: 4200/600= 7

So you would need 7 gallons to paint the whole wall.

Is that what you were looking for?

Answer:

-132

Step-by-step explanation:

81+(218-19)-412

81+(199)-412

81+199-412

280-412

-132

THANK YOU

Answer:

-132

BRAINLIEST, PLEASE!

Step-by-step explanation:

Add and subtract two terms at a time until you reach the end.

Answer:

$20,017.92

Step-by-step explanation:

Semimonthly means twice a month.

There are 12 months in a year.

12 x 2 = 24 (because they are payed twice a month)

24 x 834.08 = 20017.92

Answer:

0.083

Step-by-step explanation:

0.1 x 0.83 = 0.083

There are 0.083 bucket are the penguins fed.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

At the zoo the polar bears are fed 0.1 bucket of fish a day.

And, The penguins are fed 0.83 that amount.

Now,

Since, At the zoo the polar bears are fed 0.1 bucket of fish a day.

And, The penguins are fed 0.83 that amount.

Hence, The bucket are the penguins fed is,

⇒ 0.83 × 0.1

⇒ 0.083

Learn more about the multiplication visit:

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Math in many areas is used to create models, mathematical systems the describe real-world situations.

During the pandemic, a model called exponential model was used to predict the how many people will get infected given certain parameters, such as infection rate, average age of population, ...

We picked this particular model because viruses spread at an exponential rate, just like for example bacteria division would be modeled with something like [tex]2^t[/tex] where t is day number. After 1 day there are 2, after 2 days there are [tex]4, 8, 16, 32, \dots[/tex] which is known as exponential behaviour -- viruses spread that way, first person gets infected, aka patient 0, then that person likely infects others and others likely infect more people.

In particularly [tex]R_0[/tex] also known as basic reproduction number was used as a base, that is, [tex]R_0^t[/tex].

You can see if, [tex]R_0\lt 1[/tex] then we have a reciprocating behaviour, less and less infected with time passing, this is ideal and it means the pandemic is waning.

However if, like in case with current pandemic, [tex]R_0\gt 1[/tex] then the behaviour is exactly the opposite, more and more get infected with time. The current pandemic had a highest [tex]R_0[/tex] of 6.49 with a mean of 3.28 and a median of 2.76.

That means at its heighest, 1 new infected person meant potentially 6 new infected people which meant 36 because each of them would probably infect which means [tex]216,1296,7776,46656,\dots[/tex].

So the main goal is to prevent [tex]R_0[/tex] from getting larger ie. minimization, that is why vaccination, masks, good hygiene.

Of course the model is much much more complex and parameterized.

The exponential model took a lot into account and came up with various prediction graphs of for example the next week.

The graphs served to the states to decide what to do next.

So in all, everything that you are witnessing was at some point just, math.

Hope this helps :)

Answer:

it was online math cause of the pandemic

Step-by-step explanation:

Answer:

40 ft.

Step-by-step explanation:

Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.

Hope this helps!

Answer:

x = 40

BRAINLIEST, PLEASE!

Step-by-step explanation:

8/x = 6/30

8/x = 1/5

x = 8/(1/5)

x = 8(5)

x = 40

Answer:

107 full and .103 of another

Step-by-step explanation:

6212/58 =

Answer:

9680 ft^2

Step-by-step explanation:

1 acre = 43,560 ft^2

(2/9) acre = (2/9)*43,560 ft^2

(2/9) acre = 9680 ft^2

9514 1404 393

Answer:

  x ≤ -7/2 or x > 1

Step-by-step explanation:

To solve the left inequality for x, subtract 1/2 from both sides:

  x ≤ -3 -1/2

  x ≤ -7/2

__

To solve the right inequality for x, add 3 to both sides.

  x > -2 +3

  x > 1

Answer:

Platonic solids

Step-by-step explanation:

To solve this we must be knowing each and every concept related to geometry. Therefore, icosahedron and the dodecahedron represents geometry of molecule.

Molecular geometry in chemistry depicts a molecule's three-dimensional form as well as the relative location of its atomic nuclei.

Understanding a molecule's molecular geometry is critical since the spatial connection between atoms dictates its reactivity, color, bioactivity, state of matter, polarization, as well as other features. A molecule's form influences its physical and chemical properties, including its colour, sensitivity, and bioactivities. Icosahedron and the dodecahedron represents geometry of molecule.

Therefore, icosahedron and the dodecahedron represents geometry of molecule.

To learn more about geometry, here:

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Answer:

12 divided by 4 equals 3

Step-by-step explanation:

Answer:

10. 9/40

11. $72

Step-by-step explanation:

10.

Step 1: Have the whole cake as 1,

[tex]1-\frac{1}{8} -\frac{2}{5} -\frac{1}{4}\\= 1 -\frac{5}{40}-\frac{16}{40}-\frac{10}{40} \\= \frac{9}{40}[/tex]

11.

Step 1: Find the remaning income left

[tex]1-\frac{5}{16}-\frac{1}{4}-\frac{1}{24} -\frac{1}{48} \\= \frac{3}{8} \\[/tex]

Step 2: Calculate the weekly income

3 units = $27

1 unit = $9

Weekly income = $9 * 8 = $72

The answer you are looking for is x=3.

Solution/Explanation:

First, writing out the equation,

2x+4+2=7x-6-3.

Next, simplifying the equation just a little bit more, with the four numbers that do not include the variable "x" at all,

2x+6=7x-9.

Now, subtracting 7x from both sides of the equation,

2x+6-7x=7x-9-7x.

Regrouping the positions of the terms, using the Associative Property,

2x-7x+6=7x-7x-9.

Simplifying, and also, canceling out the 7x, since 7x-7x=0.

2x-7x+6=0-9, or 2x-7x+6=-9.

Simplifying "2x-7x," which is -5x,

-5x+6=-9.

Now, subtracting 6 from both sides,

-5x+6-6=-9-6.

Canceling out the "6," since 6-6=0,

-5x=-9-6.

Solving for "-9-6," which is "-15,"

-5x=-15.

Finally, dividing both sides by "-5,"

-5x/-5=-15/-5.

Simplifying "-5x/-5=-15/-5,"

-5x/-5=x.

And, also, -15/-5=3.

This eventually leads to x=3.

So, therefore, the final answer is x=3.

I hope that this has helped answer your question. Good day to you.

Answer:

The answer is x=3.

Step-by-step explanation:

2x+6=7x-9

-5x=-15

x=3

By substitution method

5x - 3y =1

3x + 2y = 1

_____o____o____

[tex]5x - 3y = 1 \\ 5x = 1 + 3y \\ x = \frac{1 + 3y}{5} [/tex]

______o____o_____

[tex]3x + 2y = 1 \\ 3( \frac{1 + 3y}{5} ) + 2y = 1 \\ \frac{3 + 9y}{5} + 2y = 1 \\ \frac{3 +9y + 10y}{5} = 1 \\ \frac{3 + 19y}{5} = 1 \\ 3 + 19y = (1)(5) \\ 3 + 19y = 5 \\ 19y = 5 - 3 \\ 19y = 2 \\ y = \frac{2}{19} [/tex]

______o_____o____

[tex]x = \frac{1 + 3y}{5} = \frac{1 + 3 \frac{2}{19} }{5} \\ x = \frac{1 + \frac{6}{19} }{5} = \frac{ \frac{19 + 6}{19} }{5} = \frac{ \frac{25}{19} }{5} \\ x = \frac{25}{19} \div 5 \\ x = \frac{25}{19} \times \frac{1}{5} \\ x = \frac{5}{19} [/tex]

I hope I helped you^_^

Step-by-step explanation:

(A) 42,40

(B) T(n) = 50 + (n-1)(-2)

= 50+2-2n

= 52-2n

(C) T(100) = 52 - 2(100)

= 52- 200

= - 148

Answer:

Linear Function

Step-by-step explanation:

This is a linear function. A linear function is a function with the degree of 1, where the line increases continuously the whole graph. The growth of the graph is constant, making a straight line. This function is written in slope-intercept form, f(x) = mx+b. Where m is the slope and b is the y-intercept. The function will have 1 solution.

Answer:

it is b

Step-by-step explanation: hope help

Answer:

Let y=x

2

−5x+6, when we substitute different values of x in the equation y=x

2

−5x+6 then value of y changes accordingly.

When x=0 then

y=(0)

2

−(5×0)+6=0−0+6=6

The point is (0,6)

When x=2 then

y=(2)

2

−(5×2)+6=4−10+6=10−10=0

The point is (2,0)

When x=3 then

y=(3)

2

−(5×3)+6=9−15+6=15−15=0

The point is (3,0)

Therefore, the coordinates are (0,6), (2,0) and (3,0) and the graph of the quadratic equation y=x

2

−5x+6 is as shown above.

Hence, from above graph, we get that x=2 or x=3.

Step-by-step explanation:

the total area of circles =

(2 × π × 1²) + (3 × π × 0.5²)

= (2π) + ( 3× 0.25×π)

= 2π + 0.75π

= 2.75π

assume π=3.14

so, the total area =

2.75 × 3.14 = 8.635

Let's see

Area

Step-by-step explanation:

hope it helps u........

Step-by-step explanation:

1) let the number=x

six times a number=6x

Condition:

6x+4=22

2) eleven times a number=11x

Condition:

11x-5=50

3) nine times a number=9x

Cindition:

9x-7=-16

Answer:

9

Step-by-step explanation:

[tex]2[10-3(4-2)]+1\\=2(10-3\times2)+1\\=2(10-6)+1\\=2\times4+1\\=9[/tex]

Answer:

answer it's c)24...

Step-by-step explanation:

i think helping you..... please tell correct or no...

Answer:

Step-by-step explanation:

-5(2y + 3) +5 = 40

-10y - 15 + 5 = 40

-10y = 40 +15 - 5

-10y = 50

y =[tex]\frac{50}{-10\\}[/tex]

y = -5