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sesenic [268]
3 years ago
8

Your mom loves to walk. She walks 4 miles each day. If

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0

Answer:

14 Days

Step-by-step explanation:

Your mom walks 4 miles each day and wants to walk a total of 56 miles.

You have to divide 56 by 4 and you'll get 14 days.

If you would like to check your answer, you can multiply 14 by 4 and you'll get 56 miles!

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1.) Max is driving 42 miles per hour. A dog dog runs into the street and max reacts in about three quarters of a second. What is
Nostrana [21]

Answer: 14.07\ m

Step-by-step explanation:

Given

Max is driving at a speed of 42\ mph

It took him three-quarters of a second i.e. 0.75\ s

Speed in meter per second is 18.77\ m/s

Distance is given by

d=v\times t

Reaction distance is

d=18.77\times 0.75=14.07\ m

5 0
3 years ago
Solve the inequality for u.<br> 24 Simplify your answer as much as possible.
Annette [7]

Answer:

hey i think you forgot to add the expression, would u mind adding the question :) thanks

Step-by-step explanation:

3 0
3 years ago
Solving quadratic equations is one of the main topics of this unit. Some quadratic equations can be solved with only one method,
Mariana [72]

Hi there!

Many things we do in everyday life have a variety of ways we can go about accomplishing them, but we most often choose the most practical and efficient method.

Efficiency saves time and prevents over-complication, which may lead to errors.

We might need to identify the specifics of the task and its circumstances to be able to determine the most efficient method to do it.

Solving a quadratic equation, we also must think about the most efficient method that can lead us to the correct answer. And doing so, we must identify the circumstances of the equation; Can it be solved by factoring? Is it easy to factor? What form is this quadratic equation in?

For example, let's say we're given the equation (x-1)(x+2)=0. This is an equation in factored form. In these kinds of scenarios, we can <em>easily</em> solve by setting each term equal to 0 (the Zero Product Property). This is the <em>most efficient </em>method:

x-1=0 --> x=1

x+2=0 --> x=-2

I hope this helps!

7 0
3 years ago
How many solutions does the equation sin(5x) = 1/2 have on the interval (0, 2PI]
Darina [25.2K]

Answer:

Step-by-step explanation:

Given the equation

Sin(5x) = ½

5x = arcSin(½)

5x = 30°

Then,

The general formula for sin is

5θ = n180 + (-1)ⁿθ

Divide through by 5

θ = n•36 + (-1)ⁿ30/5

θ = 36n + (-1)ⁿ6

The range of the solution is

0<θ<2π I.e 0<θ<360

First solution

When n = 0

θ = 36n + (-1)ⁿθ

θ = 0×36 + (-1)^0×6

θ = 6°

When n = 1

θ = 36n + (-1)ⁿ6

θ = 36-6

θ = 30°

When n = 2

θ = 36n + (-1)ⁿ6

θ = 36×2 + 6

θ = 78°

When n =3

θ = 36n + (-1)ⁿ6

θ = 36×3 - 6

θ = 102°

When n=4

θ = 36n + (-1)ⁿ6

θ = 36×4 + 6

θ = 150

When n =5

θ = 36n + (-1)ⁿ6

θ = 36×5 - 6

θ = 174°

When n = 6

θ = 36n+ (-1)ⁿ6

θ = 36×6 + 6

θ = 222°

When n = 7

θ = 36n + (-1)ⁿ6

θ = 36×7 - 6

θ = 246°

When n =8

θ = 36n + (-1)ⁿ6

θ = 36×8 + 6

θ = 294°

When n =9

θ = 36n + (-1)ⁿ6

θ = 36×9 - 6

θ = 318°

When n =10

θ = 36n + (-1)ⁿ6

θ = 36×10 + 6

θ = 366°

When n = 10 is out of range of θ

Then, the solution is from n =0 to n=9

So the equation have 10 solutions in the range 0<θ<2π

4 0
3 years ago
What is the area of this figure?
Alexxandr [17]

Answer:

The area of the figure is equal to 35\ cm^{2}

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of the figure is equal to the area of a square plus the area of a triangle

<u>Find the area of the square</u>

The area of square is equal to

A=b^{2} =5^{2}=25\ cm^{2}

<u>Find the area of the triangle</u>

The area of the triangle is equal to

A=(1/2)bh=(1/2)(5)(4)=10\ cm^{2}

therefore

The area of the figure is equal to

25\ cm^{2}+10\ cm^{2}=35\ cm^{2}

5 0
3 years ago
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