What is the fully factored form of 32a³ + 12a²?
O4a²(8a+3)
O 4a(8a²+3a)
O 12a (3a + 1)
O 12a(3a² + a)

here x = option c and here y= option a

Answer:

I believe the answer is D.

Answer:

The slope between (5, 13) and (9, 10) is:

Step-by-step explanation:

Given the points

Finding the slope between (5, 13) and (9, 10)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{10-13}{9-5}\)

\(m=-\frac{3}{4}\)

Therefore, the slope between (5, 13) and (9, 10) is:

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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The correct significant figures of the number is 5 * 10^2.

We know that the significant figures has to do with the number of digits that can be used to be able to express the values of the figures in a way that shows the correct digits.

Now, we can see that the scientific notation is the way that we can be able to reduce the bulk of the figures that we have in a notation.

We now have;

2.5 * 10^-2/5 * 10^-5

5 * 10^2

Thus the result in the scientific notation is 5 * 10^2.

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The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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Answer:

2

Step-by-step explanation:

We are given that a=1 and b=3, so we must substitute these values into the equation and simplify to find the answer.

2ab+2

2(1)(3) + 2

6+2 = 8

2ab-2

2(1)(3) - 2

6-2 = 4

8/4 = 2

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer:

\(f(x) = \frac{5}{x}\)

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

Step-by-step explanation:

Composite function:

\(h(x) = f(g(x)) = (f \circ g)(x)\)

h(x) = 5/x-4

We have x on the denominator and not the numerator, so the outer function is given by:

\(f(x) = \frac{5}{x}\)

The denominator is x - 4, so this is the inner function, so:

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

Answer:

4

Step-by-step explanation:

2/3 • 6

*Multiply 2 and 6 by 3.

= (2 × 6) / 3

= 12/3

*12 divided by 3 is equal to 4.

= 4

___________

hope it helps!

Answer:

15/100 this is the fraction for 15%

Answer:

245 degrees.

Explanation:

The angle turned through 245/360 of a circle.

The sum of the angle in a circle at the centre is 360 degrees.

Thus, the angle's measurement in degrees is 245 degrees.

Answer:

Papina found 27 more shells than Camila.

Step-by-step explanation:

Let x = the number of seashells that Camila found.

That means that

4x = the number of seashells that Papina found.

Papina's shells + Camila's shells = 45

4x + x = 45

Combine like terms.

5x = 45

Divide by 5.

x = 9

Camila found x shells. That is 9 shells.

Papina found 4x shells.

4x

= 4(9)

= 36

Papina found 36 shells.

36 - 9

= 27

Papina found 27 more shells than Camila.

Answer:

It might be 1/3 but I'm not 100% sure

The required scale factor  of ABC to DEF is 1/3.

Scale factor of ABC to DEF to determine.

The scale factor is defined as the ratio of modified change in length to

Here, Triangle ABC is similar to triangle DEF. So, the ratio of the same sides describe the scale factor.
Scale factor = EF/BC
                   = 7/21
                   = 1/3

Thus, the required scale factor  of ABC to DEF is 1/3.

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The unit of the rate of change is (b) dollars per month

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

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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Answer:

We use similar triangles to get

16

15

25

brainliest pls

Copying the data set into another program allows you to leverage the capabilities of that program for Statistical analysis.

The provided data set can be copied into another program, such as a spreadsheet or a statistical software program, to perform various data analysis tasks. Let's explore some common operations that can be performed using the data set.

1. Descriptive Statistics: By copying the data set into a spreadsheet or statistical software, you can calculate various descriptive statistics, such as the mean, median, mode, standard deviation, and range of the data. These statistics provide insights into the central tendency, variability, and distribution of the data.

A

1   4

2   8

3   9

4   5

5   2

6   7

7   7

8   5

9   8

2. Data Visualization: Once the data set is copied, you can create visualizations to better understand the data. This can include bar charts, histograms, line plots, or box plots, depending on the nature of the data and the insights you want to gain.

3. Data Manipulation: Copying the data set into a spreadsheet allows you to manipulate and transform the data as needed. You can perform operations like sorting, filtering, grouping, and calculating new variables based on existing ones. This enables you to extract meaningful information from the data set.

4. Statistical Analysis: If you are using statistical software, you can conduct advanced statistical analyses on the data set. This may involve regression analysis, hypothesis testing, analysis of variance (ANOVA), or clustering techniques, depending on the specific research question or objective.

5. Data Integration: If you have additional data sets or variables related to the given data set, copying it into a program allows you to merge or join different data sets, thereby enriching the analysis and providing a more comprehensive understanding of the data.

Overall, copying the data set into another program empowers you to perform a wide range of data analysis tasks, enabling you to explore, understand, and draw meaningful insights from the data.

In summary, copying the data set into another program allows you to leverage the capabilities of that program for statistical analysis, calculations, and visualizations, enabling you to gain deeper insights and draw meaningful conclusions from the data.

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Answer:

track expenses and items by costumer

The calculated price per video game for store A is $1.79 per game

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

The price per video game for store A is calculated as

Price per video game = Total price/Number of games

using the above as a guide, we have the following:

Price per video game = 8.95/5

Evaluate the quotient

So, we have

Price per video game = 1.79

Hence, the price per video game for store A is $1.79 per game

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The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.

The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.

Grand Vistas:

Bedrooms: 2

Bathrooms: 2

Rent: $990

Rent includes heat: No

Amenities: Fitness center, pool

Maple Ridge:

Bedrooms: 2

Bathrooms: 1.5

Rent: $685

Rent includes heat: Yes

Amenities: Fitness center, pool

Old Mill:

Bedrooms: 2

Bathrooms: 1.5

Rent: $790

Rent includes heat: No

Amenities: Pool

Willow Brook:

Bedrooms: 2

Bathrooms: 2

Rent: $885

Rent includes heat: No

Amenities: Jacuzzi

Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.

This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.

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The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer: a. The equation using the information as it is given above that can be solved to answer this question is:

distance = speed x time

Let t be the amount of time Krystal spent driving from Houston to Philadelphia.

distance = 50t + 60(46 - 25 - t)

b. To find the distance between Houston and Philadelphia, we can substitute the known values into the equation and solve for t.

distance = 50t + 60(46 - 25 - t)

distance = 50t + 60(21) - 60t

distance = 50t + 1260 - 60t

distance = -10t + 1260

To find the total distance, we can set t = 25

distance = -10(25) + 1260

distance = -250 + 1260

distance = 1010

Therefore, Houston is 1010 miles from Philadelphia, to the nearest mile.

Step-by-step explanation:

Answer:

.54222 is not the rational no.

Step-by-step explanation:

Mark me brainliest

Answer:

The answer is squareroot 5

Step-by-step explanation:

The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

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\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

Answer:

1 The total distance Jane travels biking and running is the hypotenuse of a right triangle with legs 16 miles and 12 miles. Using the Pythagorean theorem, we can find this distance:

distance = sqrt(16^2 + 12^2) = sqrt(256 + 144) = sqrt(400) = 20 miles

So Jane travels a total of 20 miles.

2 The distance Jane's trainer bikes is the distance from the health club to the point where he meets Jane. Let's call this distance x. We can represent this with the following right triangle:

css

Copy code

        A (health club)

        |

        |

        | x

        |

        |

B (meeting point)

where A and B are points on a coordinate plane, and the x-axis represents the direction Jane runs.

Using the Pythagorean theorem, we can write:

x^2 + 12^2 = d^2

where d is the distance from the health club to the end of Jane's run. We know that d = 20, so we can substitute:

x^2 + 12^2 = 20^2

3. Solving for x:

x^2 + 144 = 400

x^2 = 256

x = sqrt(256) = 16

So Jane's trainer bikes 16 miles.

4 Jane travels 20 - 16 = 4 miles farther than her trainer.

Step-by-step explanation: