Find Which of the following is an example of the identity property of 1 ?

The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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We want to find where x and y are equal in both equations.

First step: replacing the x value given by the second equation in the first

3x + 4y = 8

x = 16 - 4y​

↓

3(16 - 4y​) + 4y = 8

Distributing the parenthesis:

3 · 16 - 3 · 4y + 4y = 8

48 - 12y + 4y = 8

48 - 8y = 8

Rearranging the equation:

48 - 8y = 8

48 - 8 = 8y

40 = 8y

40/8 = y

5 = y

Second step: replacing the 5 = y value in one of the equations

We replace it in the second equation:

x = 16 - 4y​

x = 16 - 4 · 5

x = 16 - 20

x = -4

An explicit description of Nul A is given by the set of vectors {[0, 0, 1, 0], [0, 0, 0, 1]}.

What is the explicit description of a null space matrix?

To find an explicit description of the null space of matrix A, we can find a spanning set of vectors that span the null space.

The null space of matrix A, denoted Nul A, is the set of all vectors x that satisfy the equation Ax = 0. In other words, the null space consists of all vectors that are mapped to the zero vector by the matrix A.

To find a spanning set for Nul A, we can use the following steps:

Row reduces the matrix A to a reduced row-echelon form using elementary row operations.

Identify the free variables in the row-reduced matrix.

For each free variable, create a vector with a 1 in the position corresponding to the free variable and 0's in all other positions.

The set of vectors created in step 3 form a spanning set for Nul A.

For example, consider the matrix A = [1, 2, 3, 0; 0, 0, 1, 0]. To find a spanning set for Nul A, we can row reduce the matrix to reduced row-echelon form:

[1, 2, 3, 0] -> [1, 2, 3, 0]

[0, 0, 1, 0] -> [0, 0, 1, 0]

The matrix is already in reduced row-echelon form, so there are no more elementary row operations to perform. The free variables in this matrix are the third and fourth columns, which correspond to the variables x3 and x4, respectively. Therefore, we can create the following vectors:

x3 = [0, 0, 1, 0]

x4 = [0, 0, 0, 1]

These vectors form a spanning set for Nul A, as they are linearly independent and span the null space.

Hence, an explicit description of Nul A is given by the set of vectors {[0, 0, 1, 0], [0, 0, 0, 1]}.

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Answer:

142

Step-by-step explanation:

Definition: an = a1 + f × (n-1)

Sequence: 9, 16, 23, 30, 37, 44, 51, 58, 65 ...

Common Difference: +7

The sum of all numbers up through the 20th: 1510

20th value: 142

Hope this helps! :)

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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Answer:

x=3y

Step-by-step explanation:

Step 1: flip the equation.

2x−5y=y

Step 2: Add 5y to both sides.

2x−5y+5y=y+5y

2x=6y

Step 3: Divide both sides by 2.

2x

2

=

6y

2

x=3y

Answer:

if this is for khan academy and is a multiple choice choose the answer (neither) if not its 5

Step-by-step explanation:

y - 2x - 5y = 2x - 5

4x+ 4y = 5

Answer:

C: One soda cost $2

Step-by-step explanation:

One soda costs $2. As you can see, which each soda you buy, X and Y go up by two. The relationship of X and Y is x=2y, with X being sodas and Y being dollars

Option C is correct, {1000, 1100, 1200, 1300, 1400, 1500, 1600} is the range of the given function.

A relation is a function if it has only One y-value for each x-value.

The set of all possible values which qualify as inputs to a function is known as the domain of the function, or it can also be defined as the entire set of values possible for independent variables.

The set of all the outputs of a function is known as the range of the function or after substituting the domain, the entire set of all values possible as outcomes of the dependent variable.

The codomain is the set of all possible values which can come out as a result but the range is the set of values which actually comes out.

{1000, 1100, 1200, 1300, 1400, 1500, 1600} is the range of the given function.

Hence, Option C is correct, {1000, 1100, 1200, 1300, 1400, 1500, 1600} is the range of the given function.

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Answer:

I think the best description of a regular polygon is a polygon with all equal angles

Step-by-step explanation:

hope this helps if not let me know

Therefore the value of x is less than 4 when x is in the inequality 3x + 2 < 14 and greater than -3 when x is in the inequality 2 x-5> -11

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.

Expressions are carried out, or evaluated, in order to yield a value. In an evaluation process, values of expressions can be employed as components of surrounding expressions.

To solve for x in the inequality 3x + 2 < 14, we can begin by subtracting 2 from both sides to get 3x < 12. Then, dividing both sides by 3 gives x < 4.

To solve for x in the inequality 2 x-5> -11, we can begin by adding 5 to both sides to get 2x> -6, then divide both sides by 2 to get x > -3

So x can be any number greater than -3 and less than 4

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a = amount invested at 6.3%

how much is 6.3% of "a"? (6.3/100) * "a", namely 0.063a.

b = amount invested at 7.1%

how much is 7.1% of "b"? (7.1/100) * "b", namely 0.071b.

we know the total amount invested is $15,000, so whatever "a" and "b" might be, we know that a + b = 15000.

we also know that the yielded amount in interest is $1050, so if we simply add their interest, that'd be 0.063a + 0.071b.

\(\begin{cases} a + b = 15000\\ b = 15000 - a\\[-0.5em] \hrulefill\\ 0.063a+0.071b=1050 \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.063a+0.071(\underset{b}{15000-a})=1050}\implies 0.063a+1065-0.071a=1050 \\\\\\ 0.063a-0.071a=-15\implies -0.008a=-15\implies a=\cfrac{-15}{-0.008} \\\\\\ \boxed{a = 1875}\hspace{15em}\boxed{\stackrel{15000~~ - ~~1875}{b = 13125}}\)

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

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Answer:

work is shown and pictured

Answer:

280 km

Step-by-step explanation:

The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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The grams needed for hat, sweater and scarf will be 290, -30 and 295 grams respectively. This can be solved by simplification.

To simplify simply is to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

Let grams of wool needed for sweater = x

Let grams of wool needed for hat = x - 320

Let grams of wool needed for scarf = x +5

Therefore, the equation will be:

x + (x - 320) + (x + 5) = 555

or, x + x - 320 + x + 5 = 555

or, 3x - 315 = 555

or, 3x = 870

or, x = 290

Thus, sweater requires 290 grams of wool

Grams of wool needed for hat = 290 - 320 = - 30 grams

Grams of wool needed for scarf = 290 + 5 = 295 grams

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Answer:

Step-by-step explanation:

-3/5

Answer:

you would just subtract them from each other so your answer would be 6,145 unless the teacher meant by like elevation and ear popping magic but if she did  

Answer:

9 times

Step-by-step explanation:

1 goes into 9, 9 times

1+1=2

2+1=3

3+1=4

4+1=5

5+1=6

6+1=7

7+1=8

8+1=9

Cara's first error was not 7 - 13, leading to an incorrect result of -32.

Cara's first error was that she did not evaluate (Negative 4) squared.

The expression in question is not provided, so let's assume it is "6 - 2 × (-4)² + 7 - 13".

According to the order of operations (PEMDAS/BODMAS), we evaluate operations inside parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

To evaluate the expression correctly, we follow the order of operations:

Evaluate the exponent (-4)².

Since (-4) squared is positive, (-4)² = 16.

Multiply 2 and 16.

2 × 16 = 32.

Evaluate the addition and subtraction from left to right.

6 - 32 + 7 - 13.

At this point, we see that Cara did not evaluate 7 - 13.

Therefore, her first error was not evaluating the subtraction correctly.

Continuing the evaluation:

6 - 32 + 7 - 13 = -32.

So, Cara's first error was not evaluating 7 - 13, leading to an incorrect result of -32.

It's important to carefully follow the order of operations to ensure accurate evaluations of mathematical expressions.

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The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

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Answer:

Hi, option A). 3 to 1 is the correct option.

Step-by-step explanation:

See there are 6 yellow and 2 red.

It will be 6:2

And if we simplify it further both of the numbers are multiples of 2.

Therefore:

The answer is option A). 3:1

Answer: B. 4 to 1

Step-by-step explanation:

green = (3/4) purple

Substituting the expression for green from the first conversion, we get:

yellow = (5/6) (3/4) purple

yellow = (5/8) purple

Finally, we can use the third ratio to convert purple to red:

5 purple = 2 red

purple = (2/5) red

Therefore, the ratio between yellow to red is 4 to 1.

Both the domain and range of the transformed function are the same as those of the parent function.

What are Range and Domain?

The collection of all potential output values that a function can generate given its domain is known as its range.

The set of all potential input values for which a function is specified is referred to as its domain.

The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.

Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.

A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.

Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.

A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well

So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.

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Answer:

The length of a rectangle is 3 times its width.

The perimeter is 92 cm.

Length --> x

Width --> 3x

Area of the rectangle --> y

so

3x·x = y

2(3x)+2x = 92 --> 6x + 2x = 92 -> 8x = 92 --> x =11.5 cm

so

y = 3(11.5)·11.5

y = 396.75 cm²

THE AREA IS 396.75 cm²

Answer:

Step-by-step explanation:

Let Width of rectangle =X

So length of rectangle =3x

Perimeter of rectangle=92

Perimeter of rectangle =2(length +width)

2(length+width)=92

2(3x+X)=92

8x=92

X=92/8

Width X=11.5cm

So length 3x=11.5×3

=34.5cm

Area of rectangle =34.5×11.5

=396.75cm^2

Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5