The water was pumped out of a backyard pond. What is the domain of this
graph?

Answer:

yeah

Step-by-step explanation:

Answer:

g=dx

Or, if you'r wanting the solved equation..

12 = 0.5 x 24

Step-by-step explanation:

If she has 12 gallons in her tank and you look at what it's asking us to do, "..number of gallons of gas, g" pairs up with the 12 gallons while the 0.5 gallons used per day pairs with "...the number of days, d, she has driven to school."

Hope this helped!

Answer:

Neither A or B

Step-by-step explanation:

Hello There!

In order for a set of ordered pairs to represent a function none of the x values can repeat

In answer choice A the x value 7 repeats therefore the set of ordered pairs do not represent a function

In answer choice B the x value 7 repeats therefore the set of ordered pairs do not represent a function

so we can conclude that neither set of ordered pairs represent a function

Answer:

You cant have a negative square root

Explanation:

The answers will always be positive or a perfect square

Hope this Helps

1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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Answer:

your answer is x^2 - x - 12

Answer:

x ^ 2 - x - 12

Step-by-step explanation:

(x + 3)(x -4)

xx + x(-4) + 3x + 3(-4)

xx - 4x + 3x - 3 x 4

Simplify: xx - 4x + 3x - 3 x 4

Answer: x ^ 2 - x - 12

The pattern will be attached in the figure attached, in the matrix form.

What is the matrix?

The arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns are known as matrices, which is the plural version of the word matrix. They are rectangular arrays with defined operations for addition, multiplication, and transposition. The constituents of the matrix are its numbers or entries. Vertical entries in matrices are referred to as columns, whereas horizontal entries are known as rows. A matrix is a rectangular array of numbers, variables, symbols, or expressions that are defined for operations like subtraction, addition, and multiplication. The number of rows and columns in a matrix determines its size, sometimes referred to as its order.

We can arrange it as A = (0 0 0 0 1 1 0 0 1)

We know A*TA = 0

If A has an entry 9 then, the sum of all the diagonal elements.

So the T will be the form of the matrix attached below.

Hence the Pattern will be attached in the figure attached.

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False. The statement you described is not an equivalent form for a conditional statement. The process you mentioned, which is reversing and negating the antecedent and consequent, is known as forming the contrapositive of the statement.

A conditional statement has the form "If P, then Q," where P is the antecedent and Q is the consequent. The contrapositive is formed by negating both the antecedent and consequent, and reversing their order: "If not Q, then not P." The contrapositive is equivalent to the original conditional statement.

However, simply reversing the antecedent and consequent without negating them gives you the converse, which is "If Q, then P." The converse is not equivalent to the original conditional statement.

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The new function g(x) is g(x) = (x + 6) - 2.

To translate f(x) = |x| down by 2 units and to the left 6 units, we need to subtract 2 from the function and replace x with (x+6) to shift it to the left by 6 units. Thus, the new function g(x) is obtained by the following steps:

g(x) = f(x+6) - 2 (translate left by 6 units and down by 2 units)

= |x+6| - 2 (substitute f(x) = |x|)

= (x+6) - 2 (when x+6 ≥ 0, |x+6| = x+6; otherwise, |x+6| = -(x+6))

= x + 4 (simplify)

Therefore, the new function g(x) is g(x) = x + 4, which is the original function translated down by 2 units and to the left 6 units. The given answer g(x) = x - 61 - 2 is incorrect as it involves a typo, where the constant term should be -2 instead of -61.

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The value of x and y in the algebra (3x - y, 2) = (2, x + y) ​ are 1 and 1 respectively.

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Given the algebra:

(3x - y, 2) = (2, x + y) ​

Therefore, equation:

3x - y = 2        (1)

Also:

x + y = 2        (2)

From both equations, solving simultaneously:

x = 1, y = 1

The value of x and y are 1 and 1 respectively.

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Answer: The answer is D

Step-by-step explanation:

You are supposed to divide both sides of the equation by -3.

The given length measurements are converted and given below.

Unit conversion is a process with multiple steps that involve multiplication or division by a numerical factor or, particularly a conversion factor.

Given is to convert the given measurements as -

a) 192 km

b) 15500 dam

c) 85000 m

d) 3360 hm

e) 860000 dm

We can write the measurements as -

a) 192 km            

192 Km = 192000 meters

b) 15500 dam

15500 dam = 15500 x 10 = 155000 meters

c) 85000 m

85000 m = (85000/1000) Km = 85 Kilometers

d) 3360 hm

3360 hm = 3360 x 100 = 336000 meters

e) 860000 dm

860000 dm = 860000 x 0.1 = 860000 x 1/10 = 86000 meter

Therefore, the given length measurements are converted and given above.

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Answer:

No point,One Point.Reflex Angle Formed .

Answer:

[2 , ∞)  

Step-by-step explanation:

y = sqrt( x-2)

The domain is the values that x can take

Since we have a square root

Domain: [2 , ∞)  since the square root must be greater than or equal to zero

The range is the values that y can take

The square root starts at 0 and increases

Range [0,∞)

The inverse swaps the domain and range

Range: [2 , ∞)  

Domain [0,∞)

Answer: it’s A on here but check which is A on your test

Step-by-step explanation:

The correct option regarding the number of kettles that can be filled with the potion is given as follows:

C. Between 2 and 3.

The number of kettles is obtained applying the proportions in this problem, dividing the total number of litters by the number of liters of each kettle.

The parameters for this problem are given as follows:

Hence the number of kettles is obtained as follows:

11/4 = 2.75.

Meaning that the correct option is given by option C.

A kettle holds 4 liters of magic potion. There are 11 liters of potion.

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Answer: 135

Step-by-step explanation: We know that the forerunner is 1/5 the speed of the water skier as 20/100 is 1/5. Now if we "reverse" this we can multiply 27 by 5 to find the speed of the water skier, this is 135 which is the speed of the water skier. Hope this helped :)

98 % confidence interval for the proportion of all adults in the United States who exercise on a regular basis is 0.440 < P < 0.619.

What does a statistical random sampling entail?

P = x/n

= 89/168

= 0.53

α= 0.02

∴Zc = Zi - α/2

= 2.326

Now, C.I = P ± Zc * √[P(1-P)/n]

= 0.5 ± 2.326 * √[(0.53(1-0.53)) / 168

= (0.440, 0.619)

∴98% C.I. = 0.440 < P < 0.619

Hence, 98 % confidence interval for the proportion of all adults in the United States who exercise on a regular basis is 0.440 < P < 0.619.

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Answer:

300.2

7505/25=300.2 or300

7432/9 = 825,7777777777778 = 825,8

Answer:

825.7 (the 7 is repeating)

Step-by-step explanation:

1. Divide

2. Multiply

3. Subtract

4. Bring down

Answer:

0

Step-by-step explanation:

Answer: To find the percentage of people with an IQ score less than 117, we need to calculate the z-score first. The z-score measures how many standard deviations an individual score is from the mean in a normal distribution.

The z-score formula is given by:

z = (x - μ) / σ

Where:

Let's calculate the z-score:

Now, we need to find the percentage of people with a z-score less than 1.1333. We can look up this value in the standard normal distribution table (also known as the Z-table) or use statistical software/tools.

Using the Z-table, we find that the percentage of people with a z-score less than 1.1333 is approximately 0.8708, or 87.08% (rounded to the nearest hundredth).

Therefore, approximately 87.1% of people have an IQ score less than 117.

Answer:

d = - 8

Step-by-step explanation:

calculate the slope of the line joining the 2 points and equate to - 9

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (6, 1 ) and (x₂, y₂ ) = (7, d )

m = \(\frac{d-1}{7-6}\) = \(\frac{d-1}{1}\) = d - 1

then equating

d - 1 = - 9 ( add 1 to both sides )

d = - 8

Answer:

B

Step-by-step explanation:

Answer  4

If he bought 4 large coffees that means he spent $12 on them. that leaves $18. Which means he can buy 9 regular sized coffees. All together thats 13 coffees.

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

\(\displaystyle\\\frac{2}{12} =\\\\\frac{2}{2*6}=\\\\\frac{1}{6}\)

Given,

The steps to make the parallel line of the given line.

Step 1.

Step 2.

step 3.

Step 4,

Step 5

Hence, line q is parallel line of line p.

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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If Mr Louis gets a 6. 5% discount on the price of the oil, Mr. Louis gets a discount of £65.41 on this purchase.

First, let's find out how many litres of oil Mr. Louis needs to fill his tank:

Maximum capacity of the tank: 1,400 litres
Current oil in the tank: 150 litres
Litres needed to top up: 1,400 - 150 = 1,250 litres

Next, we'll calculate the original price of the oil without the discount:

Price per litre: £0.805
Cost of oil needed: 1,250 litres * £0.805 = £1,006.25

Now, let's calculate the discount amount:

Discount percentage: 6.5%
Discount amount: £1,006.25 * 0.065 = £65.41

So, Mr. Louis gets a discount of £65.41 on this purchase.

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The rate of change of g(x) on the interval [-1,-3] is:

g'(-3) - g'(-1) = (2405/27) - 23 = 2296/27 or approximately 85.04.

To find the rate of change of g(x) on the interval [-1,-3], we need to compute the derivative of g(x) with respect to x and then evaluate it at x = -1 and x = -3.

Using the power rule and the quotient rule of differentiation, we get:

g'(x) = 9x^2 - 14/x^3

Then, evaluating g'(-1) and g'(-3), we have:

g'(-1) = 9(-1)^2 - 14/(-1)^3 = 9 + 14 = 23

g'(-3) = 9(-3)^2 - 14/(-3)^3 = 81 + 14/(-27) = 81 - 14/27 = 2405/27

Therefore, the rate of change of g(x) on the interval [-1,-3] is:

g'(-3) - g'(-1) = (2405/27) - 23 = 2296/27 or approximately 85.04.

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Answer:

(10x^4-50x^3-800)/(x-6)

Step-by-step explanation:

Images with work attached

Answer:

            10 • (x^4 - 5x^3 - 80)

 ————————————————————

                      x - 6  

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

STEP 2:

Equation at the end of step  2

:

STEP 3:

                           10x4 - 50x3 - 800

Simplify   —————————————————

                                        x - 6      

STEP 4:

Pulling out like terms

     Pull out like factors :

  10x^4 - 50x^3 - 800  =   10 • (x^4 - 5x^3 - 80)  

Polynomial Roots Calculator :

    Find roots (zeroes) of :       F(x) = x^4 - 5x^3 - 80

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -80.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -74.00      

     -2       1        -2.00        -24.00      

     -4       1        -4.00        496.00      

     -5       1        -5.00        1170.00      

     -8       1        -8.00        6576.00      

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

Dividing :  x^4 - 5x^3 - 80  

                             ("Dividend")

By         :    x - 6    ("Divisor")

dividend     x^4  -  5x^3          -  80  

- divisor  * x^3     x^4  -  6x^3              

remainder         x^3          -  80  

- divisor  * x^2         x^3  -  6x^2          

remainder             6x^2      -  80  

- divisor  * 6x^1             6x^2  -  36x      

remainder                 36x  -  80  

- divisor  * 36x^0                 36x  -  216  

remainder                     136  

Quotient :  x^3 + x^2 + 6x + 36  

Remainder :  136

=               10 • (x^4 - 5x^3 - 80)

 ————————————————————

                           x - 6  

Hope this helps, have a nice day/night! :D