2. The snow at Afton Alps is 3 meters deep when it starts snowing. After 3 hours the snow is 3.6 meters deep. What
is the rate of change of snowfall in meters per hour?

Answer: x=18

im assuming that this is a right angle

so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.

so x=18

Answer:

Are there answers

Step-by-step explanation:

Answer:

answer

Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. ...

Answer:

A. -3

Step-by-step explanation:

edge test

The value of x in the matrix equation comes to be 1.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object.

The given matrix equation is:

[tex]-2\left[\begin{array}{cc}x&-1&3&5\\\end{array}\right] + \left[\begin{array}{cc}3&8&-1&6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

Multiply -2 with each element of the first matrix i.e. first matrix on the left side of the equation followed by the addition of matrices we get:

[tex]\left[\begin{array}{cc}-2x+3&2+8&-6-1&-10+6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}-2x+3&10&-7&-4\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

On comparing both matrices

-2x+3 = x

3x=3

x=1

Hence, the value of x in the matrix equation comes to be 1.

To get more about matrices visit:

https://brainly.com/question/1821869

Answer:

A) Hypergeometric

B) P( X ≥ 2) = 0.7143

C) Standard deviation: σ = 0.7087

Mean = 1.875

Step-by-step explanation:

A) Y has Hypergeometric distribution. This is because, the population is not definite and is largely a finite number of people that have one of the two characteristics. Also, a sample of 8 was selected from this population and a random variable of interest that contained the number of people with one of the characteristics.

B) We are told total candidates were 8.

Thus; N = 8

3 were for local teaching positions, thus; n = 3

5 were for paid internship, thus; r = 5

Now, the formula for Hypergeometric distribution is;

P(y) = {(rCy) × [(N-r)C(n-y)]}/(NCn)

Where C represents combination.

Thus, probability that two or more candidates were hired is;

P( X ≥ 2) = P(2) + P(3)

Now, N - r = 8 - 5 = 3

For P(2); n - y = 3 - 2 = 1

For P(3); n - y = 3 - 3 = 0

Thus;

P(2) = {(5C2) × (3C1}/(8C3)

P(2) = 30/56

P(2) = 0.5357

P(3) = {(5C3) × (3C0}/(8C3)

P(3) = 10/56

P(3) = 0.1786

Thus;

P( X ≥ 2) = 0.5357 + 0.1786

P( X ≥ 2) = 0.7143

C) Formula for standard deviation in Hypergeometric distribution is;

σ = √[(nr/N) × ((N - r)/n) × ((N - n)/(N - 1))]

nr/N = (3 × 5/8) = 15/8

((N - r)/N) = (8 - 5)/8 = 3/8

((N - n)/(N - 1)) = (8 - 3)/(8 - 1) = 5/7

σ = √((15/8) × (3/8) × (5/7))

σ =√0.5022

σ = 0.7087

Formula for mean in Hypergeometric distribution is;

E(Y) = nr/N = 3 × 5/8 = 1.875

Answer:

x = -3

Step-by-step explanation:

The line just passes through x = -3 so, it's parallel to the Y-vector.

Answer:

6

Step-by-step explanation:

if you do 48 divided by 8 it equals 6 so therefore the number that would increase it would be 6 because 6x8 equals 48.

hope this helps

Answer:

Pretty much, it's just 46 times 7. So, you can do 322 jumping jacks in 7 minutes.

Please mark me as Brainliest, I need it to move onto the next level. =D

Analysing the Question:

We are given the function:

f(x) = 46x

where x is the number of minutes and f(x) is the number of jumping jacks in the given number of minutes

Number of jumping jacks in 7 minutes:

replacing x with number of minutes (i.e, 7). We get:

f(7) = 46*7

f(7) = 322 jumping jacks

Answer:

Option C:The skaters path intersect twice, but only one of those points is inside the rink.

Step-by-step explanation:

Coordinates of center of ice rink: (0,0) Radius of ice rink circle = 35 m

We know that the equation of a circle with center coordinates (a,b) and radius of (r) is given as; (x - a)² + (y - b)² = r²

Thus, the total area on which the skaters are skating will be given by the equation;

x² + y² = 35²

Now, we are told the path along which Susan is skating is modeled by the equation: y = 6x - x² - 5

While Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9)

From equation of a parabola, the path along which like is skating can be modeled by;

(x - 8)² = 4a(y + 9)

To find a, we will substitute the coordinate started at to get;

(10 - 8)² = 4a(-21 + 9)

4 = 4a × -12

Divide both sides by 4 to get;

a = -1/12

Thus;

(x - 8)² = 4(-1/12)(y + 9)

(x - 8)² = (-1/3)(y + 9)

This gives: 3(x - 8)² = -(y + 9)

I've drawn the graph on demos and attached it.

From the graph we can see that the skaters points intersect twice but one is inside the rink circle while the other is outside the rink circle. The point at which they intersect outside the rink was slightly cropped out because of size. But it is clearly seen that they are both approaching point of intersection.

Thus, correct answer is Option C.

Answer:

C

Step-by-step explanation:

just took the quiz

Answer: (I can only see stage 1 and 2 fully) Stage 1: 2 Stage 2: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

0 = 0

1 = 2

2 = 4

3 = 6

20 = 40

Step-by-step explanation:

we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem

the length of the side opposite the 30 angle is 17/2

talking about exercise on the photo the answer is

8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.

Now lets use pythagorean theorem

x^2+y^2=z^2

z is hypotenuse

8^2+y^2=16^2

64+y^2=256

y^2=256-64

y^2=192

y=8√3

Answer:

3.78541 liters (sorry I'm horrible at rounding)

Answer:

radical sign of -233

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have to find the value of the expression i^{233}i

233

We know that the below values.

i

2

=−1

i

4

=1

​

Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4i

4

i^{233}=(i^4)^{58}

233

=(i

4

)

58

⋅i

Now, we know that i^4=1i

4

=1

Hence, we have

i^{233}=(1)^{58}

233

=(1)

58

⋅i

i^{233}=

233

=1⋅i

i^{233}=ii

233

=i

Answer:

Step-by-step explanation:

13/16 dived by 5/6 = 9/40

7 dived by 1/6 = 42

2 1/5 dived by 1 1/3 = 1 13/20

2 1/7 dived by 3/28 = 20

Answer:

[tex] \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} [/tex]

Step-by-step explanation:

[tex] \frac{5}{6 {x}^{2} + 9x} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5}{3x(2 {x} + 3)} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5(2x - 3) + 1 \times 3x(2x + 3)}{3x(2 {x} + 3)(2x - 3)} - \frac{2}{3x} \\ \\ = \frac{10x - 15 + 6 {x}^{2} + 9x}{3x((2 {x} ) ^{2} - {3}^{2} )} - \frac{2}{3x} \\ \\ = \frac{6 {x}^{2} + 19x - 15}{3x(4x^{2} - 9 )} - \frac{2}{3x} \\ \\ = \frac{3x(6 {x}^{2} + 19x - 15) - 2 \times 3x(4x^{2} - 9 )}{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{18{x}^{3} + 57 {x}^{2} - 45x - 24x^{3} + 54x }{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{ - 6 {x}^{3} + 57 {x}^{2} + 9x }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ = \frac{ 3x(- 2 {x}^{2} + 19x + 3) }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ \huge \orange{ \boxed{= \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} }}[/tex]

Answer:

8u

3

+10u

2

y

−

˙

9u

2

y+11uy

2

+

˙

4uy

2

+8y

3

Answer:

[tex]8u^{3}+u^{2} y+15uy^{2}+8y^{3}[/tex]

Step-by-step explanation:

You must combine like terms:

[tex](8u^{2}-9u^{2}y)-(-4uy^{2}-8y^{3})+(10u^{2}y+11uy^{2})= \\8u^{3} -9u^{2} y+4uy^{2} +8y^{3}+10u^{2}y+11uy^{2}\\\\10u^{2}y-9u^{2} y= u^{2}y \\4uy^{2}+11uy^{2}= 15uy^{2} \\\\8u^{3} -9u^{2} y+10u^{2} y+4uy^{2} +11uy^{2} +8y^{3} =8u^{3} +u^{2} y+15uy^{2} +8y^{3}[/tex]

Answer:

I am confused in many ways

Answer: B.1.50

Step-by-step explanation:

22.50 divided by 5 = 4.5

21.00 divided by 3.5 = 6.0

           6 - 4.5 = 1.50

This will tell us the differences in

  how much money they made.

The answer fam is........... 5 To find the distance between (10,5) and (6,2) use the "Distance formula"

Answer:

y= 1x-1 or y= x-1

Step-by-step explanation:

Make sure we know the equation y = mx +b

Remember M= slope, B= Y-intercept

We can see that the slope (rise over run)  is 1 so we plug in the 1 for M

Y= 1x +b

Now we have to look for the Y-intercept which is -1

making our equation now: Y= 1x -1

Hope this helps!!

Answer:

[tex]x_1 = 1[/tex]

[tex]x_2=0[/tex]

Step-by-step explanation:

The question is incomplete as the method is not given.

However, the question can still be solved.

Given

[tex]x_1 - x_2 = 1[/tex]

[tex]3x_1 + x_2 = 3[/tex]

Make xi the subject in the first equation

[tex]x_1 = 1 + x_2[/tex]

Substitute 1 + x2 for xi in the second equation

[tex]3(1+x_2)+x_2 = 3[/tex]

Open bracket

[tex]3+3x_2+x_2=3[/tex]

[tex]3+4x_2=3[/tex]

Collect Like Terms

[tex]4x_2 = 3-3[/tex]

[tex]4x_2 =0[/tex]

Solve for x2

[tex]x_2=0/4[/tex]

[tex]x_2=0[/tex]

Recall that:

[tex]x_1 = 1 + x_2[/tex]

[tex]x_1 = 1+0[/tex]

[tex]x_1 = 1[/tex]

Answer:

Option C:Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2

Step-by-step explanation:

We are given the function;

f(x) = (x - 3)(x + 7)

The axis of symmetry in a quadratic equation is given by the formula;

x = -b/2a

Expanding the function given, we have;

f(x) = x² + 4x - 21

a = 1

b = 4

c = - 21

Thus;

Axis of symmetry is:

x = -(4)/(2 × 1)

x = -2

Now, y-intercept is when x = 0

Thus;

f(0) = (0 - 3)(0 + 7)

f(0) = - 3 × 7 = - 21

y - intercept is (0, - 21)

x-intercept is when f(x) = 0

Thus;

(x - 3)(x + 7) = 0

Thus;

x - 3 = 0 or x + 7 = 0

x = 3 or x = - 7

x - intercept is (-7, 0) and (3,0)

The y-coordinate of vertex will be at the line of axis of symmetry.

Thus, we will put x = -2 into the function to get;

y = (-2 - 3)(-2 + 7)

y = -5 × 5 = - 25

Vertex is at (-2, -25)

Correct Answer is option C

Answer:

Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2

Step-by-step explanation:

Answer:

40 ft

Step-by-step explanation:

Answer:

Negative numbers cannot have square roots.

Step-by-step explanation:

Anything multiplied by itself will always equal a positive number, not negative.

Answer: 12.50 or 12.5 same thing

Step-by-step explanation:

divide 4400 by 352 to get 12.5

We know that:

h(x) = 2x - 1

g(x) = 3x + 1

We are trying to find h(x) / g(x)

(h/g) (x) = (2x - 1) / (3x + 1)

This is simplest form.

Answer:

It should be -6/7 because parallel lines have the same slope