Janet hikes a trail at a local forest each day. The trail is 3.6 miles long, and she has hiked 5 days in the past week. How many miles has Janet hiked in the past week?

Answer:

30

Step-by-step explanation:

to find 10%, find 100% first

because we know what 25% is, the easiest way we can work this out is multiply 25% by 4

so:

[tex] 4 \times 25\% = 100\%\\\\ 75 \times 4 = 300[/tex]

this means that 100% is 300.

now to find 10% all we have to do is divide the number by 10.

[tex]300 \div 10 = 30[/tex]

so 10% is 30

to check we're right, we make sure that 25% and 10% = 35%

75 + 30 = 105, meaning our percentages are correct

The complete statement is that if the equation of the function f(x + 3) = x^2 + 4x − 7, the value of the function f(2) is -10

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

A quadratic equations can be split to several equations and it can be solved as a whole

In this case, we have

f(x + 3) = x^2 + 4x − 7

To find f(2), we make use of the following comparison

f(2) = f(x + 3)

This means that

2 = x  + 3

Evaluate

x = -1

Substitute x = -1 in f(x + 3) = x^2 + 4x − 7

f(-1 + 3) = (-1)^2 + 4(-1) − 7

This gives

f(2) = -10

Hence, the complete statement is that if the equation of the function f(x + 3) = x^2 + 4x − 7, the value of the function f(2) is -10

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Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68"

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

To translate decimal degrees into DMS, take the following actions:

Converting the following angles from decimal degrees to degrees, minutes, and seconds.

A) 45.5013

The whole number is degrees. So 45.5013 gives you 45degrees.

Multiply the remaining decimal by 60.

0.5013*60 =30.078, so the whole number 30 equals minutes.

Multiply the remaining decimal by 60.

.078*60 = 4.68, so the whole number 4.68 equals seconds.

Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68".

B) Similarly for this 168.7862.

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

C)Similarly for this  87.2530.

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

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Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.

For given question,

Alita received twenty-two dollars, seven quarters, and five dimes as change at the grocery store.

The value of coins is all counted in cents.

1 Penny = 1 cent  

1 Nickel = 5 cents  

1 Dime = 10 cents  

1 Quarter = 25 cents

And 1 Dollar = 100 cents

Alita received seven quarters, and five dimes coins as change at the grocery store.

seven quarters = (7 × 25) cents

                         = 175 cents

five dimes =  (5 × 10) cents

                 = 50 cents

The total coins are:

seven quarters, and five dimes

= 175 + 50 cents

= 225 cents

Now we add all change together.

twenty-two dollars, seven quarters, and five dimes

= 22 dollars + 225 cents

= 22 dollars + 2.25 dollars

= 24.25 dollars

= $24.25

Therefore, Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.

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

Explanation:

The parent function y = |x| has its vertex at the origin (0,0). This is the lowest point on the V shaped graph.

The -2 at the end will shift every point 2 units down. This is because we're subtracting 2 from the y coordinate of each point.

So the vertex (0,0) moves down to (0, -2)

The graph is below.

Answer:

x = 1 and y = 1

Step-by-step explanation:

Let's solve your system by elimination.

2x − y = 1 and x − 2y = −1

Multiply the second equation by -2, then add the equations together.

(2x−y=1)

−2(x−2y=−1)

Becomes:

2x−y=1

−2x+4y=2

Add these equations to eliminate x:

3y=3

Then solve3y=3for y:

3y=3

3y3=33(Divide both sides by 3)

y=1

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

2x−y=1

Substitute1foryin2x−y=1:

2x−1=1

2x−1+1=1+1(Add 1 to both sides)

2x=2

2x2=22(Divide both sides by 2)

x=1

Answer:

x=1 and y=1

Answer:x=1, y=1 point (1,1)

Step-by-step explanation:

The given problem falls under the extraneous type of variable.

To find out whether or not changing the values of an independent variable has an impact on a dependent variable is the entire objective of performing an experiment. Any variable that you're not interested in researching but that might also impact the dependent variable is an unnecessary variable. For instance, we would be interested in finding out how a basketball player's average points per game are influenced by the number of hours they exercise each week. The amount of time they spend stretching each week, though, is an unrelated factor that might also impact their points per game.

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The required solution is ∠X'≅∠X, ∠Y'≅∠Y and  ∠Z'≅∠Z.

It is required to find the corresponding angles.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given :

Corresponding angles are

∠X'≅∠X,

∠Y'≅∠Y

∠Z'≅∠Z

Therefore, the required solution is ∠X'≅∠X, ∠Y'≅∠Y and  ∠Z'≅∠Z.

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The area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²

From the question, we are to determine the area of the backyard that the grass takes up

Area of the backyard that the grass takes up

= Area of the backyard - Area of the rectangle pool deck - Area of the circle  pool

Area of the backyard = 6x × 6x

= 36x²

Area of the rectangle pool deck = 2x × x

= 2x²

Area of the circle pool = πx²

Thus,

Area of the backyard that the grass takes up = 36x² - 2x² - πx²

Area of the backyard that the grass takes up = 34x² - πx²

Hence , the area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²

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The correct answer is option A

• In mathematics, comparison of numbers if the process that defines similar properties between two numbers and identifies that the number if smaller or greater than or equal to the other number.

• In maths there are three special symbols used in comparison of numbers. The basic symbols are

1. Greater than (>)

2. Less than (<)

3. Equals to (=)

According to the question

Option A :

4.13 = 4.130

As we know the value of 0 after all the numbers and after the decimal is insignificant,

So , 4.13 = 4.130

This is correct comparison.

Option B :

5.16<5.06

Bigger number can’t be less than the smaller number, comparison is wrong.

Option C :

6.28<6.08

Bigger number can’t be less than the smaller number, comparison is wrong.

Option D:

7.09>7.19

Smaller number can’t be greater than the bigger number, comparison is wrong.

Option A is correct

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Linear inequality of the given graph is given by option (A) and (C) .

(A) y > x /6 +2   ..(1) this line is represented by upper line .

and y ≤ x /4 + 1   ....(2) this line is represented by lower line .

  Let consider a point (2, 3)

Put in equation (1) , we get

  3 > 0.33 +2

  3 > 2.33

which is true so shading will be in lower part of this line .

Put in equation (2) , we get

 3 ≤  0.5 +1

 3 ≤  1.5

which is false so shading will be in opposite direction in upper part of this line.

Hence , there is a common shading area between the lines which is required area .

(b) y <  x /6 +2   ..(1) this line is represented by upper line  and y ≥ x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 < 0.33 +2

  3 < 2.33

which is false so shading will be in opposite direction to the point in upper part of this line .

Put in equation (2) , we get

 3  ≥ 0.5 +1

 3 ≥  1.5

which is true so shading will be in lower part of this line.

Hence , there is no common shading area between the lines .

(C)  y ≥  x /6 +2   ..(1) this line is represented by upper line  and y < x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 ≥  0.33 +2

  3 ≥  2.33

which is true so shading will be in direction to the point in lower part of this line .

Put in equation (2) , we get

 3  <  0.5 +1

 3 <  1.5

which is is false so shading will be in opposite direction to the point in upper part of this line

Hence , there is a common shading area between the lines which is required area .

(D)  y ≤  x /6 +2   ..(1) this line is represented by upper line  and y > x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 ≤ 0.33 +2

  3 ≤ 2.33

which is false so shading will be in opposite direction to the point in upper part of this line .

Put in equation (2) , we get

 3  > 0.5 +1

 3 >  1.5

which is true so shading will be in lower part of this line.

Hence , there is no common shading area between the lines .

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Answer:

Sorry if im wrong but for c put (x+8) x (x+y)

for d put (x+3y-1) x (x+y)

Step-by-step explanation:

The length of the missing side of the triangle is 33 inches.

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.

Let the length of the unknown sides of the second triangle be represented by x.

Given that the two triangles are similar triangles, therefore, the length of the corresponding sides will be in the same ratio. Thus, we can write the ratio of the sides of the triangle as,

6 inches / 18 inches = 11 inches / x

x = (11 inches × 18 inches) / 6 inches

x = 33 inches

Hence, the length of the missing side of the triangle is 33 inches.

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The shorter piece of wire is 8 cm long when the total length of the wire is 19 cm long.

We are given that:

a wire's length is 19 cm.

We have to cut the wire into two pieces.

We are also given that the longer piece of wire is 3 cm longer than the shorter piece.

Let the shorter piece of wire be x cm

Longer piece = x + 3 cm.

So, the equation formed will be:

x + x + 3 cm = 19 m

2 x + 3 cm = 19 cm

2 x cm = 19 cm - 3 cm

2 x cm = 16 cm

x = 16 / 2 cm

x = 8 cm.

Therefore, the shorter piece of wire is 8 cm long.

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Considering the given probability distribution, we have that there is a 0.349 = 34.9% probability that the left tire has a pressure of at least 25 psi.

The probability distribution for the air pressure of the tires of the car(X right, Y left) is given as follows:

The pressure in the right tire is found to be 22 psi, hence y = 22 and:

The value of K is found considering that the sum of all probabilities has to be 1, hence:

[tex]\int_{18}^{28} K(x^2 + 484) dx = 1[/tex]

[tex]\frac{Kx^3}{3} + 484Kx\lbracket|_{x = 18}^{x = 28} = 1[/tex]

Applying the Fundamental Theorem of Calculus:

7317.33K + 13552K - 8712K - 1944K = 1

10213.33K = 1

K = 1/10213.33

K = 0.000098.

The probability that the left tire has a pressure of at least 25 psi is:

[tex]P(X \geq 25) = \int_{25}^{28} 0.000098(x^2 + 484) dx[/tex]

[tex]P(X \geq 25) = 0.000098\int_{25}^{28} (x^2 + 484) dx[/tex]

[tex]P(X \geq 25) = 0.000098\left(\frac{x^3}{3} + 484x\right)_{x = 25}^{x = 28}[/tex]

[tex]P(X \geq 25) = 0.000098(7317.33 + 13552 - 5208.33 - 12100)[/tex]

[tex]P(X \geq 25) = 0.349[/tex]

0.349 = 34.9% probability that the left tire has a pressure of at least 25 psi.

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Answer:

The time she would arrive in London is 1:20 pm

Step-by-step explanation:

Recall

Speed= Distance/Time

But we want to find the time taken, so:

We cross multiply:

Speed *Time = Distance

Make time the subject of formula

Time= Distance/Speed

195/52

= 3.75 hours

Therefore, 9:45 am + 3.75 hours

= 13.20 pm

Which is equivalent to 1:20 pm

Answer:

Step-by-step explanation:

Comment

For this particular problem, the 10^6 will not be affected. All you have to do is divide 9.45 by 2. When you do that, you get

9.45/2 = 4.725

Now add on the 10^6

The answer is 4.725 * 10^6

Personally, I would likely round this to 4.73 because you were given 3 digits of accuracy, so you should give your answer as 3 digits.

According to the given statement the area of the right angle triangle:

= 18 cm².

A right triangle, sometimes known as a right-angled triangle, or perhaps more formally called an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides. Trigonometry is founded on the relationship between the sides and some other angles of a right triangle.

Given value

A = 6cm

B = 6cm

Using the right angle triangle area formula:

Area = (a*b)/2

       = (6 *6)/2

       = 18 cm²

According to the given statement the area of the right angle triangle:

= 18 cm²

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Answer:

x=5 and y = 0 coordinate = (5,0)

Step-by-step explanation:

solve the simultaneous equation

hope this works :)

The equation to calculate the distance will be 12 × 2.

From the information given, she travels at 12 miles per hour and the total travel time is 2 hours.

It should be noted that:

Distance = Speed × Time

Therefore,

Distance = 12 × 2

The distance is 24 miles.

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63+ (2x+8)+(x + 7) = 180

63+3x+15=180

78+3x=180

3x=102

x=34

Hey there!

63 + (2x + 8) + (x + 7) = 180

DROP the PARENTHESES:

63 + 2x + 8 + x + 7 = 180

CONVERT TO:

63 + 2x + 8 + 1x + 7 = 180

COMBINE the LIKE TERMS 1:

71 + 3x + 7 = 180

COMBINE the LIKE TERMS 2:

78 + 3x = 180

3x + 78 = 180

SUBTRACT 78 to BOTH SIDES:

3x + 78 - 78 = 180 - 78

SIMPLIFY IT:

3x = 180 - 78

3x = 102

DIVIDE 3 to BOTH SIDES:

3x/3 = 102/3

SIMPLIFY IT:

x = 102/3

x = 34

Therefore, your answer should be:

x = 34

Good luck on your assignment & enjoy your day day!

~Amphitrite1040:)

The sides of the triangle are as  follows:

a = 43 meters

b = 172 meters

c = 341 meters

Given, we have the perimeter of the triangle as 556 meters.

The sides of the triangle are:

a = x meters

b = 4x meters

c = (8x - 3) meters.

we know that perimeter of the triangle = a + b + c

therefore, a + b+ c = Perimeter

x + 4x + (8x - 3) = 556

x + 4x + 8x - 3 = 556

13x - 3 = 556

13x = 556 + 3

13x = 559

x = 559/13

x = 43

hence we get the value of x as 43.

substitute x value in the sides of the triangle to get the orignal values of the sides.

a  = x = 43 meters.

b = 2x = 4 × 43 = 172 meters.

c = 8x - 3 = 8(43) - 3 = 341 meters.

Hence the sides of the triangle are 43 meters , 172 meters and 341 meters.

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Answer:

4h40min

Step-by-step explanation:

necklaces she made

=$59.50/$4.25

=14necklaces

time spent making 14 necklaces

=14x20min

=280min

=4h40min

Answer:

280minutes or 4hours 40minutes

Step-by-step explanation:

Number of necklaces:

$59.50 ÷ $4.25 = 14

Time taken:

14 × 20minutes = 280minutes

Answer:

Y = ×+ 4 a 75 VBC

I HOPE ITS HELP

Answer:

x=11.1

Step-by-step explanation:

6x-4x-20=2.2

2x-20=2.2

2x=22.2

x=11.1

Answer:

5.6 =5610=28×25×2=285 in simplest form.

Step-by-step explanation:

Answer:

5 3/5

(heres a picture that will show you, i really hope this helps!!)

Answer:

Blank 1: -5
Blank 2: -4

Blank 3:-4

Blank 4: 0

Blank 5: 1

Blank 6: -2

Blank 7: 0

Blank 8: -2

Step-by-step explanation:

Blank 1 and 2 were already done.

We can fill in the x value of A into blank 3, which makes it 0/2, or for blank 4: 0

We can fill in the y value of B into blank 5, which makes it -4/2, or for blank 6: -2

Then we can put the values from 4 and 6 together into 7 and 8, so 7 is 0 and 8 is -2. (0, -2)

Answer:

6 units

Step-by-step explanation: