Gina is hiking from the top of a mountain. In 24 minutes, she walks down the mountainside to a location 1,524 feet from the top of the mountain. If she walks at about the same pace, express ginas average Change in alititude per minute?

An integer is a whole number.

-17/n

Replace n with the choices:

-17/18 = -0.9444

-17/102 = -0.1666

-17/170 = -0.1

None of those are a whole number so the answer would be d. None of them.

Answer:

(-162)/7 or -23 1/7 as mixed fraction

Step-by-step explanation:

Simplify the following:

(-36)/14 (-18) (-3)/6

Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.

(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):

(-36 (-18) (-3))/(14×6)

Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.

(-18)/6 = (6 (-3))/6 = -3:

(-36-3 (-3))/14

Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.

The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:

(-18 (-3) (-3))/7

Hint: | Multiply -18 and -3 together.

-18 (-3) = 54:

(54 (-3))/7

Hint: | Multiply 54 and -3 together.

54 (-3) = -162:

Answer:  (-162)/7

Answer:

y = 2/3x +6  for x< -3

y = 2/3x +1     for x> 3

Step-by-step explanation:

The graph is a line for  x < -3

( - 6,2) and ( -3,4)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point ( -6,2)

y -2 = 2/3(x - -6)

y -2 = 2/3(x +6)

y-2 = 2/3 x +4

y = 2/3x +6 x< -3

The graph is a line for  x > 3

(3,3) and ( 6,5)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 5-3)/(6-3) = 2/ (3) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point (6,5)

y -5 = 2/3(x - 6)

y-5 = 2/3 x -4

y = 2/3x +1   x> 3

Answer:

18

Step-by-step explanation:

6+3=9

9*2=18

sorry if not right

Use cross-multiplication

[tex]\frac{b - 4}{6} = \frac{b}{2}\\2(b- 4) = 6b\\2b - 8 = 6b\\2b - 6b = 8\\-4b = 8\\b = -2[/tex]

Answer:

[tex]2z^4[/tex]

Step-by-step explanation:

Given the expression [tex]\frac{z^{-1}}{3} \div\frac{z^{-5}}{6}[/tex], we are to write it in the form of [tex]nz^n[/tex]. To do that we will simplify the given indicinal expression as shown;

[tex]\dfrac{z^{-1}}{3} \div\dfrac{z^{-5}}{6}\\= \dfrac{z^{-1}}{3} \times\dfrac{6}{z^{-5}}\\= \dfrac{6z^{-1}}{3z^{-5}}\\ = \dfrac{2z^{-1}}{z^{-5}}\\[/tex]

According to indices [tex]\dfrac{a^m}{a^n} = a^{m-n}[/tex], the resulting equation will become;

[tex]= \dfrac{2z^{-1}}{z^{-5}}\\= 2z^{-1-(-5)}\\= 2z^{-1+5}\\= 2z^{4}[/tex]

Hence expression in the form [tex]nz^n \ is \ 2z^4[/tex].

Answer:

9z

Step-by-step explanation:

Khan Academy

Answer

Step-by-step explanatio

clause A

Answer: solving for x is not meant for this type of problem.

Step-by-step explanation:

Answer:

-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Step-by-step explanation:

Answer: K= 12

A=10

P= 6

B=pi/3

Equation: y=10sin(pi/3(x))+12

Step-by-step explanation: You can find k by finding the midline, or adding the minimum and maximum y values together and then dividing by 2.

You find a by using the midline value (12) and subtracting it from the maximum y value to get the amplitude.

To find the period, find the difference between the min and max x values, which is 3, then double it to get the full period.

To find the b value, plug it into the 2pi/b=p equation, using the period value you found before you should get pi/3.

When assembling the equation use this format: y=asin[b(x-h)]+k.

You can also graph it with a graphing calculator to check to be sure the max and min points line up.

A sine function is represented as: [tex]\mathbf{y = A\sin(Bx) + k}[/tex]

The given parameters are:

[tex]\mathbf{(x_1,y_1) = (4.5,2)}[/tex]

[tex]\mathbf{(x_2,y_2) = (1.5,22)}[/tex]

(a) The vertical shift (k)

The vertical shift is calculated using:

[tex]\mathbf{k = \frac{y_1 + y_2}{2}}[/tex]

So, we have:

[tex]\mathbf{k = \frac{2 + 22}{2}}[/tex]

[tex]\mathbf{k = \frac{24}{2}}[/tex]

[tex]\mathbf{k = 12}[/tex]

(b) The amplitude (A)

The amplitude is calculated using:

[tex]\mathbf{A = \frac{y_2 - y_1}{2}}[/tex]

So, we have:

[tex]\mathbf{A = \frac{22 - 2}{2}}[/tex]

[tex]\mathbf{A = \frac{20}{2}}[/tex]

[tex]\mathbf{A = 10}[/tex]

(c) The period (p) and the frequency factor (b)

The period is calculated using:

[tex]\mathbf{p = x_1 + x_2}[/tex]

So, we have:

[tex]\mathbf{p = 4.5 + 1.5}[/tex]

[tex]\mathbf{p = 6}[/tex]

The frequency factor (b) is calculated using:

[tex]\mathbf{b = \frac{2\pi}{p}}[/tex]

So, we have:

[tex]\mathbf{b = \frac{2\pi}{6}}[/tex]

[tex]\mathbf{b = \frac{\pi}{3}}[/tex]

(d) The equation of the sine function

A sine function is represented as:

[tex]\mathbf{y = A\sin(Bx) + k}[/tex]

So, we have:

[tex]\mathbf{y = 10\sin(\frac{\pi}{3}x) + 12}[/tex]

Read more about sine functions at:

https://brainly.com/question/1368748

Answer:

y=2-1x

Step-by-step explanation:

the would be the answer because the way your line is going

Answer:

Step-by-step explanation:

(3 , 6 )      ;( 9 , 2)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

               [tex]= \sqrt{(9-3)^{2}+(2-6)^{2}}\\\\=\sqrt{6^{2}+(-4)^{2}}\\\\=\sqrt{36+16}\\\\=\sqrt{52}\\\\=\sqrt{2*2*13}\\\\=2\sqrt{13}[/tex]

Answer:

it would be +2

Step-by-step explanation:

the equation would be (72)+2= 76

Answer: Positive 2

Step-by-step explanation:

my brain is just cool like that

Answer:

-1/2

Step-by-step explanation:

The slope is always the value with the x.

Answer:

Slope = - 1/2x

Step-by-step explanation:

Answer:

The greatest number of lunches he can pack so that each lunch has an equal number of sandwiches, apples, and granola bars is 12.

Each lunch will contain 3 sandwiches, 6 apples and 9 granola bars

Step-by-step explanation:

 The greatest common divisor (GCD) of two or more numbers is the largest number by which these numbers can be divided, that is, it is the largest number that divides them all exactly.

In other words, the greatest common divisor of two numbers a and b is the largest number that divides a and divides b.

To find the greatest common divisor of two or more numbers, you start by breaking those numbers down into prime factors. In this case:

36=2²*3²

72 = 2³*3²

108 = 2²*3

The greatest common divisor is obtained by choosing only the prime factors common to the numbers, raised to the smallest exponent. That is, you choose only the common factors and those that are repeated must be raised to the minimum exponent.

The 2 appears as a prime factor in the three decompositions, whose minimum exponent is 2.

3 also appears as a common factor, whose minimum exponent is 1.

By doing the multiplication to get the greatest common divisor, you get:

2²*3=12

So the greatest number of lunches he can pack so that each lunch has an equal number of sandwiches, apples, and granola bars is 12.

To calculate how many lunches each item will contain, you simply divide the amount you have of each item by the most lunches Tyler can pack, 12.

Sandwiches: 36÷12= 3

Apples: 72÷12= 6

Granola bars: 108÷12= 9

Each lunch will contain 3 sandwiches, 6 apples and 9 granola bars

Answer:

11:30 AM

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

If the 4 consecutive even integers have a sum of 380, then the average value is 380/4.

380/4 = 95

There must be 2 integers less than 95 and 2 grater than 95.

The 4 integers are: 92, 94, 96, 98

Sum: 92 + 94 + 96 + 98 = 380

Answer: 92

The 4 consecutive even integers are 92,94,96 and 98 whose sum is 380.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The  4 consecutive even integers has a sum of 380.

x+2+x+4+x+6+x+8=380

Add the like terms

4x+20=380

Subtract 20 on both sides

4x=380-20

4x=360

Divide both sides by 4

x=90

So the four consecutive integers are

x+2=90+2=92

x+4=90+4=94

x+6=90+6=96

x+8=90+8=98

Hence, the 4 consecutive even integers are 92,94,96 and 98 whose sum is 380.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ2

Answer:

b. angles 1 and 8

Step-by-step explanation:

alternate exterior angles theorm

Answer:

number of adults tickets sold = x = 90

number of teachers tickets = y = 45

number of students tickets = z = 145

Step-by-step explanation:

Cost of tickets

Adults = $6

Teachers = $4

Students = $2

Total tickets sold = 280

Total revenue = $1010

Let

x = number of adults tickets

y = number of teachers tickets

z = number of students tickets

x + y + z = 280

6x + 4y + 2z = 1010

If the number of adult tickets sold was twice the number of teacher tickets

x = 2y

Substitute x=2y into the equations

x + y + z = 280

6x + 4y + 2z = 1010

2y + y + z = 280

6(2y) + 4y + 2z = 1010

3y + z = 280

12y + 4y + 2z = 1010

3y + z = 280 (1)

16y + 2z = 1010 (2)

Multiply (1) by 2

6y + 2z = 560 (3)

16y + 2z = 1010

Subtract (3) from (2)

16y - 6y = 1010 - 560

10y = 450

Divide both sides by 10

y = 450/10

= 45

y = 45

Substitute y=45 into (1)

3y + z = 280

3(45) + z = 280

135 + z = 280

z = 280 - 135

= 145

z = 145

Substitute the values of y and z into

x + y + z = 280

x + 45 + 145 = 280

x + 190 = 280

x = 280 - 190

= 90

x = 90

Therefore,

number of adults tickets sold = x = 90

number of teachers tickets = y = 45

number of students tickets = z = 145

Answer:

9

Step-by-step explanation:

f(8)= 1/2(8) + 5

f(x)= 4 +5

f(x)= 9

Answer:

16 quarters and 4 nickels

4×25=1.00 × 4 = 4.00 4×4=16-quarters

20-16=4-nickels

Step-by-step explanation:

Hope this helps!

Answer:

i think 1+4=5 i have no clue if thats the hypothesis but like thats the correct equation

Step-by-step explanation:

Answer:

0?

Step-by-step explanation:

Original Equation:

-10b + 5 = 7b + 5

Add 10b to both sides

5 = 17b + 5

Subtract 5 from both sides.

0 = 17b

Divide both sides by 17

b = 0

Hope I helped :)

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Answer:

coefficients: 1, 4

like terms 13, -5 and 1x, 4x

constant: 13, 5

Answer:

33.2°F

Step-by-step explanation:

[70 + (-30)] + [2 +(-9)] + [0.3 + (-0.1)]

=

40 + (-7) + 0.2

=

33 + 0.2

=

33.2°F

The temperature of the water dropped to 33.2°F after Raul added the ice cubes.

Hoped this helped!<3

Answer:

[70 + (-30)] + [2 +(-9)] + [0.3 + (-0.1)]

=

40 + (-7) + 0.2

=

33 + 0.2

=

33.2°F

The temperature of the water dropped to 33.2°F after Raul added the ice cubes.

Step-by-step explanation:

Answer:

6 pieces

Step-by-step explanation: