luis worked at the town pet store and was in charge of draining and cleaning he fish tanks he decided to record the amount of water in the tank and the time it took to drain the tank luis data shown in the table below interpret the inital value and the rate of change

Answer:

log (1/3)

Step-by-step explanation:

\( log \: 2 - log \: 6 \\ \\ = log \frac{2}{6} \\ \\ = log \frac{1}{3} \)

The different ways can paint the spinner is \(4^{6}\).

Permutation and Combination:

A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

Here it is given that to paint the 6-sector spinner shown there are 4 colors to choose from.

The total number of ways to color this spinner with 6 different parts and 4 different colors is 4 × 4 × 4 × 4 × 4×4 = \(4^{6}\) ways

Therefore the ways is \(4^{6}\).

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The possible coordinates of point l are (7,3),(7,-13),(-5,3),(-5,-13),(9,1),(9,-11),(-7,1), and (-7,-11).

Given that:-

Coordinates of k = (1,-5)

Distance between point k and point l = 10 units.

We have to find the coordinates of point l.

Let the coordinates of point l be (x,y).

By using distance formula, we can write:-

\(\sqrt{(x-1)^2+(y+5)^2} =10\)

Squaring on both sides, we get:-

\((x-1)^2+(y+5)^2=100\)

For, integer coordinates, the possibilities are 36+ 64 or 64+36.

Hence, we can write,

\((x-1)^2+(y+5)^2 = 36 + 64 \\or\\(x-1)^2+(y+5)^2 = 64 + 36\)

Hence,

\((x-1)^2 = 36\)

x - 1 = 6 or x -1 = -6

x = 7 , -5

\((y+5)^2 =64\)

y + 5 = 8 or y + 5 = -8

y = 3,-13

or

\((x-1)^2=64\)

x - 1 = 8 or x - 1 = -8

x = 9,-7

\((y+5)^2\)

y + 5 = 6 or y + 5 = -6

y = 1,-11

Hence, the possible values of coordinates of point l are (7,3),(7,-13),(-5,3),(-5,-13),(9,1),(9,-11),(-7,1), and (-7,-11).

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The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:a. 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes

b. 16 empanadas

Step-by-step explanation:Since each of these ingredients is needed and the recipe is for a single empanada, each ingredient in the recipe must be multiplied by 6 since they are 6 empanadas, like this:

1/4 kg tuna * 6 = 6/4 = 3/2 kg tuna

1/6 kg of onion * 6 = 6/6 = 1 kg of onion

1/8 kg of red pepper * 6 = 6/8 = 3/4 kg of red pepper

2/5 kg of tomatoes * 6 = 12/5 kg of tomatoes

Therefore 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes need it.

Now, with 2 kg of red pepper, what we should do is divide this quantity by the quantity for a recipe, like this:

2 / (1/8) = 16

that is to say that with 2 kg of red pepper, a total of 16 empanadas would be made

Answer:

300%

Step-by-step explanation:

3 difference increase

Answer:

300%

Step-by-step explanation:

3 difference

We know that

• 2/5 are strawberries.

• 1/4 of the strawberries are chocolate covered.

We have to find 1/4 of 2/5, let's multiply these fractions.

Probability that in a random sample of 400 headache sufferers, less than 58. 1% obtain relief has a Z score -1.79

P = 62.4%

The sample proportion p = 58.1% of 400 = 232.4

This implies that 232  person of 400 headache sufferes obtain relief with just two asprins

n = 400

np = 400 x 62.4% = 249.6

n(1 - p) = 400 x (1 - 62.4%) = 150.4

The sample proportion p is assumed to follow a normal distribution.

The mean of the sample proportion μ' = p = 0.624

The standard error of the sample proportion

σ'  \(\sqrt{\frac{p(1 - p)}{n} }\\ \sqrt{\frac{0.624(1 - 0.624)}{400} }\\\\= 0.0240\\\)

Standardize 0.581 to a Z score

P(p'< 0.581) = P(Z>(0.581-0.624)/0.024) = -1.791

Probability that in a random sample of 400 headache sufferers, less than 58. 1% obtain relief has a Z score -1.79

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Answer:

\(y=-\frac{1}{5}x+6\)

Step-by-step explanation:

We have the following equation

y=mx+b

where m is the slope

and b is the y intercept

we know that the slope is  -1/5 (or -.2)

which means that so far our equation looks like this

y= -.2x+b

which means we need to solve for b

we know that when x= -5 y= 7 which means we can plug in those values and solve for b

we have

7= (-.2*-5)+b

7=1+b

b=6

which means our equation is as follows

y= -1/5x+6

To find a plane containing the point (-5, 6, -6) and the line defined by parametric equations x(t) = 7 - 5t, y(t) = 3 - 6t, and z(t) = -6 - 6t, we can use the point-normal form of the equation of a plane.

The equation of a plane in point-normal form is given by Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane, and (x, y, z) are the coordinates of a point on the plane. We can determine the normal vector by taking the cross product of two direction vectors in the plane.

The direction vector of the line can be obtained by taking the coefficients of t in the parametric equations, which gives us (-5, -6, -6). We can choose any two non-parallel direction vectors in the plane, for example, (1, 0, 0) and (0, 1, 0). Taking the cross product of these two vectors, we get the normal vector (0, 0, -1).

Now, we can substitute the values of the point (-5, 6, -6) and the normal vector (0, 0, -1) into the point-normal form equation. This gives us 0*(-5) + 0*6 + (-1)*(-6) + D = 0, which simplifies to D = -6. Thus, the equation of the plane containing the point (-5, 6, -6) and the given line is 0*x + 0*y - z - 6 = 0, or simply -z - 6 = 0.

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Answer:

Each interior angle of a pentagon equals 108 degrees.

Therefore Angle U = 108 degrees.

The angle of the square is 90 degrees.

Therefore, Angle x = 360 - 108 -90 degrees = 162 degrees!

Step-by-step explanation:

The approximate value of the solution is x ≈ 0.0204.To solve the equation algebraically, let's go through the steps:

Start with the given equation: 5 + 2 = 7³x. Simplify the equation: 7³ = 343, so the equation becomes: 5 + 2 = 343x. Combine like terms: 7 = 343x. Divide both sides of the equation by 343 to isolate x : 7/343 = x. Simplify the fraction on the left side: x = 1/49.

Therefore, the solution to the equation is x = 1/49. To find the approximate value of the solution, we can convert the fraction to a decimal: x ≈ 0.0204 (rounded to two decimal places). So, the approximate value of the solution is x ≈ 0.0204.

In conclusion, by simplifying the equation and isolating x, we determined that x equals 1/49. Additionally, the approximate value of x is approximately 0.02, rounded to two decimal places.

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Answer:

y = 5x + 6

Step-by-step explanation:

Remember:

Parallel: The slope is the same

Perpendicular: The slope is the opposite reciprocal

If we look at the equation \(y=-\frac{1}{5}x+6\), it is in slope intercept form and its slope is -1/5. Now, we will first need to flip the fraction and get rid of the negative sign.

\(y=5x+6\)

And we are done!

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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Answer:

1. List (in order) the five phases a single 2 solar mass will go through in its life.

2. List (in order) the five phases a single 25 solar mass will go through in its life.

3. List (in order) the five phases a single 60 solar mass will go through in its life.

Phase options (can be used more than once, some may not be used at all):

Type II Supernova

Protostar

White Dwarf

Giant Phase

Main sequence

Neutron Star

Brown Dwarf

Black Hole

Type 1a Supernova

Planetary Nebula

Step-by-step explanation:

Answer:

2/3 is the answer..

Step-by-step explanation:

becaue 2 holes then 2/3s is not filled trust me!!! plz give brainliest and a thanks!!!!

The account balance in the bank after 5 years is $1,216.65.

An amount of $1,000 is deposited into a bank account that pays 4% annual interest. The amount in the bank account after 5 years can be calculated as follows:

Therefore,

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

Therefore,

p = 1000 dollars

4 = 4 % = 4 / 100 = 0.04

t = 5 years

n = 1

Therefore,

A = 1000(1 + 0.04/1)¹ˣ⁵

A = 1,000(1 + 0.04)⁵

Therefore,

A = $1,216.65

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Answer:

x = 3 and y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = 10

x - 4 y = -1

Express the system in matrix form:

(3 | 1

1 | -4)(x

y) = (10

-1)

Solve the system with Cramer's rule:

x = 10 | 1

-1 | -4/3 | 1

1 | -4 and y = 3 | 10

1 | -1/3 | 1

1 | -4

Evaluate the determinant 3 | 1

1 | -4 = -13:

x = 10 | 1

-1 | -4/(-13) and y = 3 | 10

1 | -1/(-13)

Simplify 10 | 1

-1 | -4/(-13):

x = -1/13 10 | 1

-1 | -4 and y = 3 | 10

1 | -1/(-13)

Simplify 3 | 10

1 | -1/(-13):

x = -(10 | 1

-1 | -4)/13 and y = -1/13 3 | 10

1 | -1

Evaluate the determinant 10 | 1

-1 | -4 = -39:

x = (-1)/13×-39 and y = -(3 | 10

1 | -1)/13

(-1)/13 (-39) = 3:

x = 3 and y = -(3 | 10

1 | -1)/13

Evaluate the determinant 3 | 10

1 | -1 = -13:

x = 3 and y = (-1)/13×-13

(-1)/13 (-13) = 1:

Answer:  x = 3 and y = 1

After 37 bounces, the ball's height will be less than 1 foot.

The initial height of the ball is 50 feet.

After first bounce, the ball will reach a height of:

= 50 feet * (1 - 10%)

= 45 feet.

After second bounce, it will reach a height of:

= 45 feet * (1 - 10%)

= 40.5 feet.

Height decreases by 10% after each bounce.

We have to set up an equation:

50 feet * (0.9)^n < 1 foot

Simplifying:

0.9^n < 1/50

Taking the logarithm:

n * log(0.9) < log(1/50)

n > log(1/50) / log(0.9)

n > 37.1298771746

n > 37.13.

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Answer: x = 3

Step-by-step explanation:

6x - 5 + 2x + 3 = 22 (Segment Addition Postulate)

8x - 2 = 22 (Combine Like Terms)

8x = 24 (Inverse Operation)

x = 3 (Division Property)

Width of second pan become 11.2 inches

What do you mean by similar figures?

Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape.

The term "similar figures" refers to two figures that share the same shape but differ in size.

When two figures are comparable, the sign ‘∼’ is used to indicate that they are.

It is given that Amelia has similar cake pans. The first pan is 10 inches long and 8 inches wide. The second pan is 14 inches long.

We know that the ratio of the sides of the similar figures is always equal,

So , \(\frac{10}{8}=\frac{14}{x}\)

where x is the width of second pan.

Solve the above equation using cross multiplication we get,

x = \(\frac{14 \times 8}{10} = \frac{112}{10}=11.2\)

Hence, width of second pan become 11.2 inches

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Using function concepts, it is found that:

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

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

Thus means that:

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Answer:

x= -3

Step-by-step explanation:

3(x-4)= -21

x - 4 = -7( to get this divide both sides of the equation by 3 )

x = -7 + 4 ( add 4 to both sides of the equation)

x = -3 ( then add -7 and 4 to get -3)

So clearly x = -3

HOPE THIS HELPED

Answer:

3/20

Step-by-step explanation:

you multiply 1/4 and 2/5 to get the answer

Answer:

The best cooking methods would be to cook something simple, and reasonable for the campfire. Such as something that can cook in a pan or a pot. I wouldn't recommend frozen food.  Since the best cooking method is to cook something that can cook in a pan or a pot here are some suggestions. I would suggest hot dogs, soup, beans, grilled cheese sandwich, and for dessert s'mores of course.

Step-by-step explanation:

Hope this helps!! If you need to add sum you can.

1. The best cooking method for a camping trip is Roasting using Skewers.

2. The best foods for this cooking method and setting are hot dogs and grilled cheese sandwiches.

Depending on the equipment in use, some cooking methods for camping are:

Thus, since the foods would be roasted over an open fire, using skewers would ensure that they are well-roasted.

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Answer:

See Explanation

Step-by-step explanation:

Given [Missing Information]

\(Red = 12\)

\(Blue = 10\)

\(Green = 15\)

\(Yellow = 13\)

Way 1:

Add up the total marbles that are not red.

\(Not\ Red = Blue + Green + Yellow\)

\(Not\ Red = 10 + 15 + 13\)

\(Not\ Red = 38\)

Divide by total marbles to get the probability;

\(Probability = \frac{Npt\ Red}{Total}\)

\(Probability = \frac{38}{38 + 12}\)

\(Probability = \frac{38}{50}\)

\(Probability = 0.76\)

Way 2:

Calculate the probability of choosing red

\(P(Red) = \frac{Red}{Total}\)

\(P(Red) = \frac{12}{50}\)

\(P(Red) = 0.24\)

Apply complement rule (i.e. subtract it from 1)

\(P(Not\ Red) = 1 - P(Red)\)

\(P(Not\ Red) = 1 - 0.24\)

\(P(Not\ Red) = 0.76\)

Answer:

1/42 is the answer because 1/7 divide by 6/1, so 7x6=42 and 1x1=1.