Mass of Remotes +
Box= 18,081 grams
Mass of 15 Remotes
= 945 grams
Mass of Box ONLY=
567 grams
How many
remotes are in the
box?
Round your answer
by using significant
figures.
Remotes in
Box

The Area of Garden is 62/3 feet².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area. Square units like cm² and m² are used to measure area. A shape's area is a two-dimensional measurement.

Given:

Length = 7 3/4 feet = 31/4 feet

Width = 2 2/3 feet = 8/3 feet

So, Area of Garden

= l w

= 31/4 x 8/3

= 62/3 feet²

and, Now, 5/6th of the Garden

= 62/3 x 5/6

= 31 / 3 x 5 / 2

= 155 / 6 feet²

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Answer:

5 years

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years to earn 900 interest.

The Gambler's Fallacy is due to treating each throw of the dice as independent of previous throws

The gambler's fallacy, also known as the Monte Carlo fallacy, is when someone mistakenly thinks that the outcome of a prior event or series of events will make a given random occurrence more or less likely to occur.

This kind of thinking is flawed since past occurrences do not alter the likelihood that specific events will occur in the future.

In circumstances where the probability of various events is not independent, the gambler's fallacy is not applicable.

The outcome of previous events, such as the statistical permutation of events, might alter the probability of future happenings in such circumstances.

In response to the query,

The Gambler's Fallacy results from treating each roll of the dice as if it were unrelated to prior rolls. Option(4) is correct

The question is incomplete , the complete question is

The Gambler's Fallacy is due to

(1) greed.

(2) bad luck.

(3) failing to treat each throw of the dice as independent of previous throws.

(4) treating each throw of the dice as independent of previous throws.

(5) regression toward the mean.

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The matrix multiplication is possible for option (b) 1 × 3 by 3 × 3, and option (c) 2 × 1 by 1 × 2.

What is a matrix?

A matrix is a rectangular array or table with numbers or other objects arranged in rows and columns. Matrices is the plural version of matrix. The number of columns and rows is unlimited. Matrix operations include addition, scalar multiplication, multiplication, transposition, and many others.

It is known that if the number of columns of a matrix A be equal to the number of rows of another matrix B then the product of matrix A and matrix B i.e. AB is defined.

a)  In this option no of columns in first matrix is 1 and the no of rows in second matrix is 2.

That means no of columns in first matrix is not equal to no of rows in second matrix.

Hence, in this case matrix multiplication is not possible.

Therefore, option (a) is incorrect.

b)  In this option no of columns in first matrix is 3 and the no of rows in second matrix is also 3.

That means no of columns in first matrix is equal to no of rows in second matrix.

Hence, in this case matrix multiplication is possible.

Therefore, option (b) is correct.

c)  In this option no of columns in first matrix is 1 and the no of rows in second matrix is 1.

That means no of columns in first matrix is equal to no of rows in second matrix.

Hence, in this case matrix multiplication is possible.

Therefore, option (c) is correct.

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The solution of the equation 4x - 3  = 5 is not extraneous .

Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.

Therefore, let's solve the equation to know whether it is extraneous solution.

Hence,

4x - 3  = 5

add 3 to both sides of the equation

4x - 3 + 3 = 5 + 3

4x = 8

divide both sides of the equation by 4

4x / 4 = 8 / 4

x = 2

Therefore, it is not extraneous solution.

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Answer:

That is correct! Good boy, you get a treat. :)

Step-by-step explanation:

Answer:

The distance between cities A and B to the nearest tenth is 4.24 units.

Explanation:

From the map we can see the coordinates of cities A and B;

The distance between two coordinate points can be calculated using the formula;

We can substitute the coordinates of A and B to calculate their distance;

The distance between cities A and B to the nearest tenth is 4.24 units.

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

Answer: 4792.38

Step-by-step explanation: just did it

Answer:

A

Step-by-step explanation:

7 and -7 are the opposite on the number line

The value of the expression f(a) is f(a) = a^2 + 7a, based on the given function f(x) = x^2 + 7x and the value x = a

The given parameters in the question are:

f(x) = x^2 + 7x and

x = a as in f(a)

This means that the equation of the function f(x) is given as:

f(x) = x^2 + 7x

To calculate the value of the function f(a), we simply substitute a for x in the equation of the function f(x) = x^2 + 7x.

This means that we set x to a in the equation of the function f(x) = x^2 + 7x.

So, we have;

f(a) = a^2 + 7a

The above equation cannot be further simplified or expanded

So, we conclude that

Based on the given function f(x) = x^2 + 7x and the value x = a, the value of the expression f(a) is f(a) = a^2 + 7a

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Answer: B

Step-by-step explanation: 3x3=9 1x9 equals 9 if a number has 2 or more sets, it's a composite number. It would not become prime because 9 does not have 1 set.

Answer:

Step-by-step explanation:

b

The solution set of f(x) > 0 is x ∈ (-2, 8).

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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Step-by-step explanation:

A'(0,0),B'(1,2),C(3,2),D(2,0)

it is a parallelogram.

vertical distance is doubled. so false.

angle changes so false.

You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.

To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate,  we can use the PMT (Payment) function.

The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.

Let's break down the given information:

Present Value (PV): $0.00 (initial account balance)

Future Value (FV): $3,000.00 (savings goal)

Interest Rate (rate): 10% per year (annual interest rate)

Number of Periods (nper): 4 years (48 months)

Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).

The formula for the PMT function is:

PMT(rate, nper, pv, [fv], [type])

Where:

rate = Interest rate per period

nper = Total number of periods

pv = Present value (initial account balance)

fv = Future value (savings goal)

type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.

We'll assume 0 for monthly savings.

Let's calculate the monthly savings using the PMT function:

PMT(10%/12, 4*12, 0, -3000, 0)

Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).

Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.

Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.

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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.

The correct answers are:

Functions are expressions separated by an equal sign. They have both dependent and independent variables.

* Lets explain how to solve the problem

- The table of the function has two column

# First column labeled x with entries:

 -6 , 7 , 4 , 3 , -5

# Second column labeled f(x) with entries:

  8 , 3 , -5 , -2 , 12

∴ The ordered pairs of the function f(x) are:

 (-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)

* Lets complete the missing

∵ The value of x in the first row is -6

∵ The value of f(x) in the first row is 8

∴ The function notation in the 1st row is f(-6) = 8

- The ordered pair given in the first row of the table can be

 written using function notation as f(-6) = 8

∵ The ordered pair whose x = 3 is (3 , -2)

∴ The value of f(x) when x = 3 is -2

∴ f(3) = -2

∵ The ordered pair whose f(x) = -5 is (4 , -5)

∴ The value of x when f(x) = -5 is 4

∴ f(x) = -5 when x is 4

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The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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Answer:

Step-by-step explanation:

To determine whether the teacher has enough space on the bookshelf for the 60 textbooks, we need to calculate the total space that the textbooks will occupy.

The thickness of each textbook is 2.5cm, so the total thickness of 60 textbooks will be:

60 textbooks * 2.5cm/textbook = 150cm

Therefore, the total space occupied by the textbooks will be 150cm.

The bookshelf is 160cm long, so we need to check whether the length of the bookshelf is greater than or equal to the total space occupied by the textbooks.

160cm >= 150cm

Since the length of the bookshelf is greater than the space occupied by the textbooks, the teacher has enough space on the bookshelf for the 60 textbooks.

Answer:

34%

Step-by-step explanation

34% (I believe)

The slope of a line that passes through the ordered pairs (0,1) and (3,5) would be m = 4/3.

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal. Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

WE have been given line that passes through the ordered pairs (0,1) and (3,5).

Slope = m

Therefore,

\(m = \dfrac{y-q}{x-p}\\\\m = \dfrac{5 -1}{3-0}\\\\m = \dfrac{4}{3}\)

Hence, the slope of a line that passes through the ordered pairs (0,1) and (3,5) would be \(m = \dfrac{4}{3}\).

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The statement i.e. true is For every 4 mystery books checked out, 3 nonfiction books are checked out.

Here first determine the ratio of nonfiction books to mystery books

So, it should be like

= 18:24

= 6:8

= 3:4

So based on the above calculations we can say that The statement i.e. true is For every 4 mystery books checked out, 3 nonfiction books are checked out.

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The student is not correct. Y = 16x^2 is a function of X.

A function is a mathematical relationship between two variables, where each value of the independent variable (in this case, X) corresponds to exactly one value of the dependent variable (in this case, Y). The equation Y = 16x^2 satisfies this definition.

The fact that X is squared in the equation does not mean that it is not a function of X. In this case, Y is a function of X because for each value of X, there is a unique value of Y determined by the equation Y = 16x^2.

This equation represent the distance an object falls (Y) in a certain amount of time (X) assuming that the only force acting on the object is gravity, and the acceleration due to gravity is constant (approximately 9.8 m/s^2 or 32 ft/s^2). The equation Y = 16x^2 is known as the equation of motion under gravity.

Part A: The function is nonlinear.

Part B: We determined the function to be nonlinear because the corresponding y-values do not change by a constant rate as the x-values increase, indicating a lack of a linear relationship.

Part A: The given function is nonlinear.

Part B: To determine whether the function is linear or nonlinear, we need to examine the relationship between the x-values and the corresponding y-values in the table.

In a linear function, there is a constant rate of change between the x and y values.

This means that for every increase in x by a fixed amount, the corresponding y value will change by a constant amount.

If we look at the x-values in the given table (2, 3, 4), we can see that they are increasing by a fixed amount of 1 each time.

However, when we examine the corresponding y-values (20, 10, 40), we don't see a constant rate of change.

The y-values are not changing by the same amount for each increase in x.

For instance, when x increases from 2 to 3, the y-value decreases from 20 to 10.

This indicates a non-linear relationship as the change in y is not constant for each unit increase in x.

Additionally, when x increases from 3 to 4, the y-value jumps significantly from 10 to 40, which further confirms the nonlinear nature of the function.

Based on these observations, we can conclude that the given function is nonlinear.

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Answer: ahhhhhummm I think it’s 5

Step-by-step explanation:

Answer:

(1,6)

Step-by-step explanation:

First you would reflect over y=0. Whenever you reflect over y=0, the y-coordinate will be multiplied by -1, so it changes to (1,-2). (1,-2) is 4 coordinates below the line y=2, so when reflected over y=2, the coordinate will be 4 above y=2, which means that the coordinate will be (1,6)

Answer:

B.

Step-by-step explanation:

We can use the given formula to find the time it takes for the rocket to reach a height of 10 feet:

10 = -16t^2 + 22t + 6

Rewriting the equation in standard quadratic form:

16t^2 - 22t + 4 = 0

Using the quadratic formula:

t = (22 ± sqrt(22^2 - 4(16)(4)))/(2(16))

t = (22 ± sqrt(36))/32

t = 3/4 or 1/4

Since the rocket reaches a height of 10 feet at two different times (3/4 and 1/4 seconds), it must pass through that height twice during its flight. Therefore, the rocket will reach a height of 10 feet. The correct answer is B.

Answer:

Step-by-step explanation:

Here you go

Answer: d = 14/5

Step-by-step explanation:

14 + d = 6d

14 = 5d

14/5 = d

Check Work:

14 + (14/5) = 6(14/5)

16.8 = 16.8

Answer:

a 99.8% confidence interval for this probability, after learning that 35 of the last 93 Red Shirts who beamed down with Kirk met an ...

a)  If someone drives an average of 17,000 mi per​ year, the number of gallons of gasoline saved in a year by increasing his tire pressure from 30 psi to 35 psi is 15.57 gallons.

b) If gasoline costs ​$3.00 per​ gallon, the total savings in dollars in a year will be $46.71.

c) If 100 million cars in a country increase their cars' tire pressure from 30 to 35 psi, the number of gallons of gasoline saved is 1,557 million gallons.

The numbers are determined using the mathematical operations of addition, subtraction, division, and multiplication.

When the car's tire pressure is 30 psi, the average mile per gasoline = 20.7 mpg

When the car's tire pressure is 35 psi, the average mile per gasoline = 21.1 mpg

The average miles per year = 17,000 miles

The number of gallons of gasoline saved:

Total gallons of gasoline consumed by 30 psi = 821.26 (17,000/20.7)

Total gallons of gasoline consumed by 35 psi = 805.69 (17,000/21.1)

The number of gallons of gasoline saved = 15.57 gallons (821.26 - 805.69)

Savings of gasoline in dollars = $46.71 (15.57 x $3)

Total savings by 100 million cars = $4,671 million ($46.71 x 100 million)

Total savings in gallons of gasoline = 1,557 million gallons (15.57 x 100 million)

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