Mandy has 1 drink and Karl has 2 Mandy takes all of Karl's drinks

Answer:

-1/5

Step-by-step explanation:

if you look at the table, you can see that for every 5 units of x, y goes down 1 unit. slope= rise/run so the slope is -1/5

Answer:

slope=-1/5

Step-by-step explanation:

Use slope formula to get 4-5/0-(-5) which is -1/5, so out slope is -1/5

Step-by-step explanation:

log (√1000000x)

Rewrite √1000000x as (1000000x)1/2.

expand long ((1000000x)1/2) by moving 1/2

oby moving logarithm.

1/2 longth (1000000x)

Rewrite

log

(1000000x) as log(1000000)+log(x).

1/2(log(1000000)+log(x))

Logarithm base 10 of 1000000 is 6.

1/2(6+log(x))

Apply the distributive property.

1/2.6+1/2 log(x)

Cancel the common factor of 2.

3+1/2 long(x)

Combine 1/2 and log(x)

3+ long(x)/2

Step-by-step explanation:

See the steps below:

[tex]log\sqrt{1000000x} =\\(1/2)log 1000000x=\\(1/2)log10^6+(1/2)logx=\\(1/2)(6) + (1/2)logx=\\3+(1/2)logx[/tex]

Rule for function

If Domains of relation have unique Range then it's function otherwise not a function.

Now

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem:

Then:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 300(1 + 0.15)^t[/tex]

[tex]A(t) = 300(1.15)^t[/tex]

It will reach $450 after t years, for which A(t) = 450, hence:

[tex]A(t) = 300(1.15)^t[/tex]

[tex]450 = 300(1.15)^t[/tex]

[tex]1.15^t = \frac{450}{300}[/tex]

[tex]1.15^t = 1.5[/tex]

[tex]\log{(1.15)^t} = \log{1.5}[/tex]

[tex]t\log{1.15} = \log{1.5}[/tex]

[tex]t = \frac{\log{1.5}}{\log{1.15}}[/tex]

[tex]t = 2.9[/tex]

It will take about 2.9 years for Emma's balance to reach $450.

A similar problem is given at https://brainly.com/question/14773454

Answer:

It will take about 2.9 years for Emma’s balance to reach $450.

The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.

a. To determine the distance of sailboat A from the stating point.

Applying the cosine rule to the path traveled by sailboat A, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)

   = 25 + 64 -80 * -0.8746

[tex]c^{2}[/tex] = 89 + 70

[tex]c^{2}[/tex] = 159

c = [tex]\sqrt{159}[/tex]

  = 12.6095

Thus, the distance of sailboat A from starting point is 12.61 miles.

b. To determine the distance of sailboat B from the stating point.

Applying the cosine rule to the path traveled by sailboat B, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)

   = 64 + 25 -80 * -0.6293

[tex]c^{2}[/tex] = 89 + 50.344

   = 139.344

c = [tex]\sqrt{139.344}[/tex]

  = 11.8044

c = 11.80 miles

Thus, the distance of sailboat B from starting point is 11.80 miles.

Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.

A sketch is attached to this answer for better reasoning.

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Answer:

44 - 47 is -3 if thats what youre asking

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the anwers is A

Answer:

i think it b

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

I I think you have your answer now

Answer:

y = -4x + 5.

Explanation:

Count rise/run to find the slope, find the y-intercept.

Answer:

y = -4x + 3

Step-by-step explanation:

First, find the slope using two points [(-2, 13), (0, 5)] and the formula [ y2-y1/x2-x1 ].

5-13/0-(-2)

-8/2

-4

Second, find the y-intercept which we know is (0, 5) since we used it in the previous part.

Third, input everything we found.

y = -4x + 5

Best of Luck!

Answer:

x = 8

Step-by-step explanation:

Hope this helps!

Answer:

so67 =9

Step-by-step explanation:

Answer:

Step-by-step explanation:

c^2 = a^2 + b^2

a = 4

b = ?

c = 8

8^2 = 4^2 + b^2

64 = 16 + b^2

48 = b^2

b = sqrt(48)

b = 4√3

Answer:

-180

Step-by-step explanation:

its a straight line

Answer:

The Scuba diver is 21 feet below sea level

Step-by-step explanation:

I took the test and it was this

The position of the scuba diver relative to sea level is 17 feet below surface.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

Given that, A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.

Let the position of the fish is at x feet from surface of the ocean

Therefore, the position of scuba diver = x-4

Since, the fish dives double its depth, therefore, new position of diver = 2(x-4)

According to question,

2(x-4) = -34

2x-8 = -34

2x = -26

x = -13

Therefore, the position of the diver = -13-4 = -17

Hence, the position of the scuba diver relative to sea level is 17 feet below surface.

For more references on equations, click;

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Answer:

Step-by-step explanation:

square root (3)/2 = 1.732/2 = .86603

Sin(x) = 0.86603

x = sin-1(0.86603)

x = 60

Answer:

56 total units

Step-by-step explanation:

Here is what the plane would look like if the figure and points were drawn.

Answer:

Step-by-step explanation:

Plot the points and connect.

Note. If you connect the points in the given order you will end up with a weird figure hence we connect as pictured.

Horizontal sides sum to:

Vertical sides sum to:

The perimeter is:

[tex]\cos 3\pi = \cos \pi =-1[/tex]

Answer:

It's C

Step-by-step explanation:

The value of y from the given coordinates and slope is; y = 11

We are given the coordinates of the 2 points as;

(-4, -3) and (3, y)

Now, formula for slope of a line with two coordinates is;

m = (y2 - y1)/(x2 - x1)

m = (y - (-3))/(3 - (-4))

m = (y + 3)/7

Slope is m = 2. Thus;

2 = (y + 3)/7

y + 3 = 2 × 7

y + 3 = 14

y = 14 - 3

y = 11

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|9+40i| = |√9^2 + -40^2| = √1681 = 41

Answer: 41

Answer:

41

Step-by-step explanation:

We know that complex numbers are a combination of real and imaginary numbers

Real part is x and imaginary part y is multiplied by i, square root of -1

Modulus of x+iy =

Here instead of x and y are given 9 and 40

i.e. 9+40i

Hence to find modulus we square the coefficients add them and then find square root

|9+49i| =

By long division method we find that

|9+40i| =41

[tex]y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8[/tex]

Answer:

The answer it's c. Point C

Answer:

The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.

Step-by-step explanation:

Answer:

Area of the garden is 20 sq. yards

Step-by-step explanation:

A = LW

(The whole figure  which is a 6 by 6) - (area of the pool) = The area of garden

                     (6 × 6) - (4 × 4)

                      36 - 16 = 20

Answer:

54353456452

Step-by-step explanation:

364564

Answer:

A. 49

Step-by-step explanation:

ratio of houses is 3 new to 7 old

21 new is 7 times more than 3, so 7 will also be 7 times more

so, 21 to 49

I hope that made sense