Which values are solutions to × > 7? A. × = 11 and × = 1 B. × = 0 and × = 8 C. × = 8 and × = 11 D. × = -8 and × = 0

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

y=5x

Step-by-step explanation:

first, we know that a rising line's slope is always positive, so the first one is incorrect

let's figure out the slope: y-y'/x-x' is the formula.

now, -5-5/-1-1= -10/-2= 5. so the slope of this line is 5.

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 true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Answer:

Trevor must score a 73.

We will create an equation that has four values (three knowns, one unknown) that will divide by 4 to find the average.

Our equation will look like this:

\(\displaystyle \frac{86+83+78+x}{4}=80\)

First, combine all like terms.

\(\displaystyle \frac{247+x}{4}=80\)

Then, divide the fraction.

\(\displaystyle \frac{247}{4} + \frac{x}{4} = 80\)

Subtract 247/4 from both sides of the equation.

\(\displaystyle \frac{247}{4} - \frac{247}{4} + \frac{x}{4} = 80 - \frac{247}{4}\)

\(\displaystyle \frac{x}{4} = \frac{73}{4}\)

Then, multiply both sides of the equation by 4 to get rid of the denominator and isolate the variable.

\(4\times\displaystyle \frac{x}{4} = 4\times\frac{73}{4}\)

\(x=73\)

\(\boxed{\bold{x=73}}\)

Step-by-step explanation:

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G.O.O.G.L.E IT....MAYBE YOU WILL FIND THE ANSWER...

The sides of the right triangle is as follows:

x = 7 units

y = 7√3 units

A right triangle is a triangle that has one of its angles as 90 degrees. The side of a right triangle can be found using trigonometric ratios.

Therefore,

sin x = opposite / hypotenuse

sin 30 = x / 14

cross multiply

x = 14 sin 30

x = 14 × 0.5

x = 7 units

Therefore, let's find y

cos 30 = adjacent / hypotenuse

cos 30° = y / 14

cross multiply

y = 14 cos 30°

y = 14 × √3 / 2

y = 14√3 / 2

y = 7√3 units

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Check the picture below.

Make sure your calculator is in Degree mode.

\(\tan(53^o )=\cfrac{\stackrel{opposite}{17}}{\underset{adjacent}{x}}\implies x=\cfrac{17}{\tan(53^o )}\implies x\approx 12.81~meters\)

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

So we have the expression:

\(39\div(2+1)-2\times(4+1)\)

Recall the order of operations or PEMDAS:

P: Parentheses

E: Exponents

M/D: Multiplication and Division (Whichever First)

A/S: Addition and Subtraction (Whichever First)

Thus, first do the operations inside the parentheses:

\(39\div(2+1)-2\times(4+1)\\=39\div(3)-2\times(5)\)

Now, do division and multiplication:

\(39\div(3)-2\times(5)\\=13-2\times5\)

And the multiplication:

\(13-2\times5\\=13-10\)

And finally, subtract:

\(13-10\\=3\)

Answer:

387,640

Step-by-step explanation:

hope this helps, braniest...

The additive inverse of the polynomial is +7y²-x²y+3xy+7x².

The additive inverse can be defined as when we add a number to some number and get result as zero.

Given polynomial:

-7y²+x²y-3xy-7x²

As, the value of additive inverse is same as of the number but the sign of the additive inverse is opposite.

So,

=  +7y²-x²y+3xy+7x²

Check:

-7y²+x²y-3xy-7x² + 7y²-x²y+3xy+7x²

= -7y²+  7y² +x²y -x²y -3xy +3xy -7x² +7x²

=0

Hence, the additive inverse of the polynomial is +7y²-x²y+3xy+7x².

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It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

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An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer:

100, 25, 50

Step-by-step explanation:

\(700: \frac{700}{700} \times 100=100 \\ \\ 175: \frac{175}{700} \times 100=25 \\ \\ 350: \frac{350}{700} \times 100=50\)

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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A reflection and a dilation occurred to map △ABC to △A"B"C" (option C)

Geometry is all about understanding shapes and their various attributes, whether its symmetry, area, volume, or something else entirely. Two common operations that can significantly alter our perception of shapes are reflections and dilations.

A reflection involves transforming a shape by flipping it over an imaginary "mirror" - called the line of reflection - while preserving certain key features such as distance between points on either side of this mirror axis.

Alternatively dilation allows us to increase or decrease the size of shapes based on some scaling factor; this can also affect other key attributes like perimeter or surface area.

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Answer:

\(x^2-2x+1\)

Step-by-step explanation:

=> (x-1)(x-1)

USING FOIL to solve it

=> \(x^2-x-x+1\)

=> \(x^2-2x+1\)

Answer:

\({(x - 1)}^{2} \\ = {x }^{2} - 2x + 1 \)

Given :

Los Angeles and Las Vegas.

Mass of Mars , \(M=6.42\times 10^{23}\ kg\).

Radius of Mars ,

\(R=3397\ km\\\\R = 3.397\times 10^6\ m\)

To Find :

The acceleration of gravity on the surface of Mars.

Solution :

Acceleration due to gravity is given by :

\(g_m = \dfrac{GM_m}{R_m^2}\\\\g_m =\dfrac{(6.67\times 10 ^{-11}\ m^3\ kg^{-1}\ s^{-2})(6.42\times 10^{23}\ kg) }{(3.397\times 10^6\ m)^2}\\\\g_m = 3.71\ m/s^2\)

Therefore, the acceleration of gravity on the surface of Mars is 3.71 m/s².

Hence, this is the required solution.

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.

First, let's divide -15b^5 by 3b:

(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4

Next, let's divide 18b^3 by 3b:

(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2

Now, we have simplified each term individually. The resulting expression is:

-5b^4 + 6b^2

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

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a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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Answer:

-2°F

Step-by-step explanation:

The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.

-17 + 15 = -2°F

Answer:

0.15

Step-by-step explanation:

Without Mincing words let us dive straight into the solution to the question above. We are given the following information which is going to aid in solving this particular question.

====> It is given, that there are 5 white balls and 10 red balls. Hence, the number of the total balls = 5 white balls + 10 red balls = 15 balls.

Therefore, the probability that 5 randomly selected balls contain exactly 3 white balls = \(\left[\begin{array}{ccc}5\\3\end{array}\right]\)  × \(\left[\begin{array}{ccc}10\\2&\end{array}\right]\)  ÷  \(\left[\begin{array}{ccc}15\\3\\\end{array}\right]\)  = 450 ÷ 3003 = 0.15

Given:

The number of chosen 5 balls out of 15 will be:

= \(\binom{15}{5}\)

= \(3003\)

The number of ways 3 white balls chosen from 5 as well as 2 red balls chosen from 10 will be:

= \(\binom{5}{3}\times \binom{10}{2}\)

= \(450\)

hence,

The probability that 5 random balls selected will be:

= \(\frac{No. \ of \ ways \ the \ event \ can \ happen}{Total \ no. \ of \ ways}\)

By substituting the values, we get

= \(\frac{450}{3003}\)

= \(0.1499\)

Thus response above is correct.

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Answer: 41.4

Step-by-step explanation:

1243/30=41.4

Answer:

20% of 10 is 2

Step-by-step explanation:

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

24

Step-by-step explanation:

The length is 4, the width is 2, and the height is 3.

\(V=lwh=(2)(3)(4)=24\)

the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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