Andrew loves skiing-- he just hates the ski lift. To make matters worse, the ski lift has been acting up today. Andrew is using the GPS on his phone to track the ski lift's progress as it travels up the mountain. It moves at a steady rate of 400 feet per minute until it stops suddenly. Andrew calls his friends to tell them he is stuck. They talk on the phone for 10 minutes until finally the ski lift begins moving again. What is the independent quantity? What is the dependent quantity?

Answer:

a(n)= 4*n+1

a(n+1)=5+4*n

Step-by-step explanation:

The sequence   5, 9, 13, 17 is the ariphmetic progression where a(1)=5 is the first member of the progression and the diference is d=9-5=4 (the distance between the neighboring members)

For ariphmetic progression is known that n- term is equal to

a(n)=a(1)+d*(n-1)

So for our case

a(n)=5+4(n-1)=5+4n-4=4n+1

a(n+1)= 5+4(n+1-1)= 5+4n

Answer:

x = -8/3

Step-by-step explanation:

So first let's simplify the expression. Grouping together like terms gives:

-3x + 7 = -1

Subtracting 7 from both sides gives

-3x = -8

Meaning x = -8/3

Answer:

x = 8/3 or 2.67

Step-by-step explanation:

6x - 9x + 7 = -1

6x - 9x = -3x

-3x + 7 = -1

       -7    -7

-3x = -8

/-3    /-3

x = 8/3 or 2.67

Answer:

Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {},

For example, A = {1,2,3,4} is a set.

Answer:

y + 6 = - 2(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y + b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 2 and (a, b) = (4, - 6) , thus

y - (- 6) = - 2(x - 4) , that is

y + 6 = - 2(x - 4)

Answer:

3 meters

Step-by-step explanation:

Step 1: State what is known

Volume of cube is 27 cubic meters

Important formula: Volume of cube = [tex]l^{3}[/tex]

Step 2: Input value into formula and solve for "l"

[tex]27=t^{3} \\\sqrt[3]27}=\sqrt[3]{t^{3} } \\3 = t[/tex]

Therefore the length of 1 edge of the cube is  meters

Length of each edge of cube is 3 metres.

What is the volume of cube?

The volume of a cube defines the number of cubic units, occupied by the cube completely. The volume of cube is found by multiplying the value of the edge with itself three times that is a³.

It is given that volume of cube is 27 cubic metres.

a³ = 27

a = ∛27

a = 3

Hence, length of each side of cube is 3 metres.

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Answer:

Least: 1 hour

Maximum: 5 hours

Step-by-step explanation:

Given

Boat hourly rate = $8.00

Paddle daily rate = $5.00

Required

Determine the least hour, David could use the boat

First, we need to represent this as an inequality.

Since David has $45, then

[tex]\$8.00 * x + \$5.00 \leq \$45.00[/tex]

Where x represents the number of hours

Collect Like Terms

[tex]\$8.00 * x \leq \$45.00 - \$5.00[/tex]

[tex]\$8.00 * x \leq \$40.00[/tex]

Divide both sides by $8.00

[tex]x \leq \frac{\$40.00}{\$8.00}[/tex]

[tex]x \leq 5[/tex]

Hence, the least number of hour is 1 hour while the maximum is 5 hours

Answer:

3 bags cost $8.25

Step-by-step explanation:

Proportions:

6 bags  ⇔   $16.50

3 bags   ⇔   $B

B = 16.5*3/6

B = $8.25

Answer:

Step-by-step explanation:

8.25

Answer:

D

Step-by-step explanation:

The lines in A meet at a right angle (90°) so they are perpendicular.

The lines in B meet at a right angle (90°) so they are perpendicular.

The lines in C do not meet and appear to be parallel.

The lines in D meet at an angle that does not appear to be 90°, so they are neither perpendicular nor parallel.

Answer:

b = 4.33 in

Step-by-step explanation:

angle A = 72°

hypotenuse = 14 in

Required: Adjacent side length (b)

use the formula Cos A = adjacent / hypotenuse

cos (72) = b / 14

b = cos (75) * 14

b = 4.33 in

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

Explanation:

Points are of the form (x,y), where y = f(x) since y and f(x) are outputs.

When we vertically stretch by a factor of 3, we are making the function curve 3 times more stretched out along the vertical y axis. So a general point (x,y) becomes (x,3y). Whatever the y coordinate is, we multiply by 3 to get its stretched out counterpart.

Eg: (0,-2) on f(x) moves to (0,-6) which is on g(x)

-------------

Since y = f(x), and we're multiplying y by 3, we can say

f(x) = |x-3| - 2

3*f(x) = 3*( |x-3| - 2 )

3*f(x) = 3|x-3| + 3(-2)

3*f(x) = 3|x-3| - 6

g(x) = 3|x-3| - 6

Answer:

Step-by-step explanation:

[tex]f(x)=-x-11\\\\\frac{f(9)}{f(-6)}\\\\ f(9)= -9-11\\- 20\\\\f(-6) = -(-6)-11\\= 6-11 = -5\\\\\\\frac{f(9)}{f(-6)}\\ \\= \frac{-20}{-5}\\ \\= 4[/tex]

Answer:

4

Step-by-step explanation:

This means that where ever you see x in the function; f(x)= -x-11, you replace it with 9 for the numerator and -6 for the Denominator

=-(9)-11/-(-6)-11

=-9-11÷6-11

=-20÷-5

=4

Answer:

√119 = 10.908712114636

Answer:

12

Step-by-step explanation:

2x - 6 = ?

x = 9

You substitute x for 9: the value of x.

2(9) - 6 = ?

2 * 9 = 18

18 - 6 = 12

So your answer is 12.

Hope it helps : )

Brainliest pleaseeee

★ Given :

[tex]\begin{lgathered}\bullet\:\:\textsf{Radius of circle = \textbf{7 meter}}\end{lgathered}[/tex]

[tex]\rule{130}1[/tex]

★ Digram :

[tex]\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{7 m}}\end{picture}[/tex]

[tex]\rule{130}1[/tex]

★ Solution :

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]

[tex]:\implies\sf Area\:of\:circle = \pi r^2 \\\\\\:\implies\sf Area\:of\:circle = \dfrac{22}{\cancel{7}} \times \cancel{7} \times 7\\\\\\:\implies\sf Area\:of\:circle = 22 \times 7\\\\\\:\implies\sf Area\:of\:circle = 154 m^{2}[/tex]

⠀

[tex]\therefore\:\underline{\textsf{Area of circle is \textbf{154}} \:\sf{m^2}}.[/tex]

[tex]\rule{170}{2}[/tex]

Answer:

abscissa of origin is 0.

Step-by-step explanation:

The abscissa of a point is the signed measure of its projection on the primary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before negative; after: positive).

Answer:

Hey there!

p(x)=x+30

p(13)=13+30

p(13)=43

5(43)=215

Let me know if this helps :)

Answer:

20 is the correct answer

Step-by-step explanation:

you're welcome :)

Answer: m∠F = 31°

Solution: The triangle's rotation is irrelevant to the measure of its angles. In other words, angles D, E, and F will all stay the same if the triangle is turned ("rotated"). That being said, we know by definition that the interior angles of a triangle add up to 180°. We are given two of the angles, and we are asked to find the third:

Answer:

[tex]g = 2b-83[/tex]

[tex]b+g=259[/tex]

Number of boys = 114

Number of girls = 145

Step-by-step explanation:

Let the number of boys in the class = [tex]b[/tex]

Now, as per question statement,

Number of girls is 83 less than twice the number of boys.

Representing in the form of equation.

Let number of girls = [tex]g[/tex]

[tex]g = 2b-83 ....... (1)[/tex]

Also, given that total number of students in the class = 259

i.e. [tex]b+g=259[/tex]

Putting value of [tex]g[/tex] using equation (1):

[tex]\Rightarrow b+2b-83=259\\\Rightarrow 3b-83=259\\\Rightarrow 3b=259+83\\\Rightarrow 3b=342\\\Rightarrow \bold{b=114}[/tex]

So, number of boys, b = 114

Putting value of [tex]b[/tex] in equation (1) to find the value of [tex]g[/tex].

[tex]\Rightarrow g = 2(114)-83 \\\Rightarrow g = 228-83\\\Rightarrow \bold{g = 145}[/tex]

So, number of girls, g = 145.

Hence, the answer is:

Number of boys = 114

Number of girls = 145

Answer:B. y=0.5x+0.3

Step-by-step explanation:a. p. e. x.

The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation thus option (B) is correct.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given points,

Let's take two-point (1,1)  and (2,1.5)

The slope associated with the above points will be as,

(1.5 - 1)/(2 - 1) = 0.5

Thus, the line will be y = 0.5x + 0.3

Hence "The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation".

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A mode is a number that shows up more often than other numbers.

The number 5 would be a mode because there are two of them.

Since there are 2 modes and the numbers go from smallest to largest x would need to be 9, so there would be two 9’s

X = 9

Answer:

y = x - 3

Step-by-step explanation:

Equation of line in slope point form is given as:

y - y_1 = m(x - x_1)

[tex]y - y_1 = m(x - x_1) \\ y - 2 = 1(x - 5) \\ y - 2 = x - 5 \\ y = x - 5 + 2 \\ y = x - 3 \\ [/tex]

Answer:

4

Step-by-step explanation:

First, solve in the brackets,

-3+(-1)

-3-1

-4

Since it is absolute value, take the minus sign away,

therefore the answer is 4

Step-by-step explanation:

Since the sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1/3

d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6

Substitute the values into the above formula

That's

So the nth term of the sequence is

For a50 since we are finding the 50th term

n = 50

So we have

We have the final answer as

Hope this helps you

Answer:

i hope it will work

Step-by-step explanation:

f(x) = -5 x^2 + 2 x + 9

f(1)=-5(1)^2 +2(1) +9 = 6

similarly

f(2)=-5(2)^2 +2(2) +9  = -7

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thanks

Answer:

-5|-7|

Step-by-step explanation:

[tex]-\left|-5\left(-7\right)\right|\\\\\mathbf{missing\:stepId}=\\\\Refine\:Abs\:Checked\:3Eq,\:\\\\|ax|=a|x|,\:a\ge 0,\:-\left|-7\right|\\=-5\left|-7\right|[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{-35}}[/tex]

Step-by-step explanation:

[tex]\Rightarrow -|-5* (-7)|[/tex]

Multiplying the terms in the absolute value.

[tex]\Rightarrow -|35|[/tex]

The absolute value of a number is the distance between that number and zero.

The absolute value of 35 is 35.

[tex]\Rightarrow -35[/tex]

Answer:

south america and north america

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It is B because every number, x, you plug in 5x-3, it is y.

Answer:

B

Step-by-step explanation:

If we plug in x = 5 because every chart has x = 5 as a different answer into the equation you will find it equals 22 and only B has 22 as the answer