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Problem Solving on the Coordinate Plane
A tank of water has a leak. Each of these ordered pairs represents the number of hours since the leak began an
the number of gallons of water in the tank at that time.
(1, 27). (5, 24). (8, 20). (12, 16)
Graph the points on the coordinate plane.
Water Tank Level
28
Point
+ Move
◆ Undo
→ Redo x Reset
78°F Mostly sunny xz d

Answer:

Step-by-step explanation:

Answer:

6/30

Step-by-step explanation:

20 percent of 30 is 6 ^_^

The graph of the function f(x) = 4(2/3)^x is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x)=4⋅(

2

3

​)

x

Express the equation properly

So, we have

f(x) = 4(2/3)^x

The above expression is a an equation of a exponential function

Next, we plot the graph using a graphing tool

To plot the graph, we enter the equation in a graphing tool and attach the display

See attachment for the graph of the function

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The decimal calculation for Arturo's is 18.97, Bonnie's is 20.51, Courtney's is 31.42, Dawson's is 35.00.

Measurement is the process of assigning a numerical value to a physical quantity, such as length, weight, temperature, or time. Measurements are used to quantify and compare different aspects of the world around us, and they play a crucial role in many areas of science, engineering, and everyday life.

Measurements can be made using a variety of tools and techniques, ranging from simple rulers and scales to sophisticated scientific instruments. The accuracy and precision of a measurement depend on many factors, including the quality of the measuring instrument, the skill of the person making the measurement, and the conditions under which the measurement is taken.

In order for measurements to be meaningful and useful, they must be expressed in units that are well-defined and universally accepted. The International System of Units (SI) is the most widely used system of units in the world, and it is based on seven fundamental units of measurement, including the meter for length, the kilogram for mass, the second for time, and the kelvin for temperature.

Student           Measurement (yards)    Decimal Calculation

Arturo           6√28                            18.97

Bonnie           8√17                            20.51

Courtney   10π                            31.42

Dawson           3.5√100                    35.00

To calculate the decimals, we can use a calculator to evaluate the square roots and π, and then multiply by the given constant factor, and round the result to the nearest hundredth yard.

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The complete question is:

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

Answer:

A. 36, -36

Step-by-step explanation:

y = x^2 - 12x - 5

steps to complete the square

add a 5 to both sides to move the constant

x^2 - 12x = 5

Then take -12, the coefficient of the variable and divide by 2 and square.

12/2 = 6, 6^2 = 36

Then add 36 to both sides.

x^2 - 12x + 36 = 5 + 36

Then subtract the 5 and 36 from both sides.

x^2 - 12x + 36 - 36 - 5

The transformation of f(x) to g(x) is :

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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Answer:

\(g(x) = 3^{x -4}\)

Step-by-step explanation:

Given

\(f(x) = 3^x\)

g(x) = f(x) 4 units left

Required

Find g(x)

When a point is translated 4 units left, the rule is:

\(x \to x - 4\)

So, we have:

\(g(x) = f(x-4)\)

\(f(x-4)\) is calculated as:

\(f(x-4) = 3^{x -4}\)

Hence:

\(g(x) = 3^{x -4}\)

Answer:

convergent

Step-by-step explanation:

Answer:

The rule of reflection over y-axis is  (x,y)→(-x ,y)

M(-5,4) →M¹( 5 , 4)

N(-3,2) →N¹(3 ,2)

L(-6,2) →L¹( 6,2)

Step-by-step explanation:

Explanation:-

Type of transformation                     change to co-ordinate point

Reflection over x-axis                          (x,y)→(x ,-y)

Reflection over y-axis                          (x,y)→(-x ,y)

Given co-ordinate is M(-5,4)

The reflection over y-axis is  (x,y)→(-x ,y)

M(-5,4) →( 5 , 4)

N(-3,2) →(3 ,2)

L(-6,2) →( 6,2)

Answer: the answer is a

Step-by-step explanation:

Hope that helped

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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Answer: A. FALSE

Step-by-step explanation: The interval scale presents a measurement level for representing numerical variables in an ordered and fixed manner. Measurement are represented on the scale at equal intervals with each difference between consecutive intervals being the same. With this attribute, data represented on an interval scale gives meaningful difference between the data entries also allowing the US to know the size of the interval. Interval scales allows us to make subtraction and addition on data it's data. Examples of data represented on interval scale include, Temperature, ph and other numeric data with arbitrary zero levels

\(50 + 0 \times 20 + 10 \\ 50 + 0 + 10 \\ = 60\)

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

A formula that describes the average revenue per person is:

average revenue per person = 1.4w

Average revenue per person is the ratio of the total revenue received to the number of people. It is calculated by dividing total revenue by the number of people.

We have:

Total revenue formula, M = 350w⁴

Total number of people formula, T = 250w³

Thus,

Average revenue per person = M/T

Average revenue per person = 350w⁴/250w³

Average revenue per person = 1.4w

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Answer:

b

Step-by-step explanation:

just took it

Answer:

B. m∠JXY = m∠NXY

Step-by-step explanation:

I got the answer correct

Step-by-step explanation:

As my previous answer got deleted for being wrong (in which it was right), I will answer again.

The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.

This is proof that it is right, and that there are some corrupt admins on brainly.

How to get to this solution?

Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).

If we do so, we get 2a + 5 = 7.

Solving this equation, we get a = 1.

Answer:

3/2 or 1.5

Step-by-step explanation:

(3/4) / (1/2) = (3/4) * (2/1)

                 = 6/4

                 = 3/2

It is given that,

→ 3/4 ÷ 1/2

We can divide the given values,

→ 3/4 ÷ 1/2

→ 3/4 × 2/1

→ 6/4

→ 3/2 (or) 1.5

Thus, 3/2 (or) 1.5 is the answer.

The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.

It follows from the task content that the Polynomial in discuss has;

Therefore, the factored form of a polynomial can be written as follows;

P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.

Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).

Hence, the polynomial f(x) in discuss can be written as follows;

f(x) = 4 (x + 6) (x + 6) (x - 5/2)

f(x) = (x + 6) (x + 6) (4x - 10)

f(x) = 4x³ + 38x² + 24x - 360

Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.

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Answer:

B

Step-by-step explanation:

I got this by looking at the graph and the numbers that I got vertically and horizontally I divided them .

Answer:

-17 (I believe)

Step-by-step explanation:

If x = 64 then the first one is asking for the square root of 64 (8)

With y being 25 the second part of this problem is actually really easy, all its doing is getting the square root and then squaring it (doing nothing at all) so that would just be 25 which would make it

8-25 which would be -17

The solution to the given algebraic expression 3(2-4x) = 5-8x is x = 1/4

3(2-4x) = 5-8x

open parenthesis

6 - 12x = 5 - 8x

combine like terms

6 - 5 = -8x + 12x

1 = 4x

divide both sides by 4

x = 1/4

Ultimately, x = 1/4 is the answer to the algebraic expression.

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The height of the totem tree after solving the equation is 1/6 units

An equation is an expression that shows how numbers and variables relate with each other.

Mathematical operations include addition, subtraction, division and multiplication. Mathematical operations are used in equations

Let h represent the height of the totem pole.

Ronald carved 3/3/8 of a totem pole. he says that the totem pole is 3/4 completed. Hence:

(3/4)h = 3÷3÷8

(3/4)h = 3 * (1/3) * (1/8)

(3/4)h = 1/8

Cross multiplying gives:

h = (4 * 1)/(3 * 8)

h = 1/6

The height of the tree is 1/6 units

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The variable most likely to be approximated by a normal model is c. The distribution of age, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will probably be more spread out than ages less than 18.

A normal model is used to describe data that has a symmetrical distribution and where most values cluster around the center of the distribution. Of the variables listed, c. The distribution of age, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will variable probably be more spread out than ages less than 18 is the most likely to be approximated by a normal model as it does have a symmetrical distribution and most values will cluster around the center.

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\( \frac{ - 15}{23} + \frac{30}{ - 46} \\ = \frac{ - 15}{23} + \frac{(2) \times (15)}{(2) \times ( - 23)} \\ = \frac{ - 15}{23} + \frac{15}{ - 23} \\ = \frac{ - 15}{23} - \frac{15}{23} \\ = \frac{ -3 0}{23} \\ = - 1.3\)

Answer:

a)    distance = (rate) x (time)   or do they want    rate = distance / time

Step-by-step explanation:

the rate is 420 km / 3 hr       =  140 km/hr

Answer:

47.06 United States Dollar

\(\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}\)

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.