Staci has $20 Apps Cash card and wants to buy some games and songs. Each game costs $2 and each song costs $1. Staci wants to buy at least 12 items. Solve the system of inequalities by graphing to determine the possible numbers of games and songs that Staci can buy

∠6 and ∠8 are vertical angles.

∠2 and ∠7 are same side exterior angles

∠3 and ∠ 5 are alternate interior angles

∠1 and ∠2 are supplementary angles

Transversal angles are angles that are formed when a transversal line intersects two other lines in a plane. A transversal is a line that intersects two or more other lines, which are called the base lines.

When a transversal intersects two parallel lines, it creates eight angles. These angles can be classified into three types:

Corresponding angles: Pairs of angles that are on the same side of the transversal and in corresponding positions relative to the parallel lines. Corresponding angles are congruent when the parallel lines are cut by the transversal.

Alternate interior angles: Pairs of angles that are on opposite sides of the transversal and between the parallel lines. Alternate interior angles are congruent when the parallel lines are cut by the transversal.

Alternate exterior angles: Pairs of angles that are on opposite sides of the transversal and outside the parallel lines. Alternate exterior angles are congruent when the parallel lines are cut by the transversal.

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A solution to this inequality 2(x - 6) < 1/2(12x - 8) include the following: x > -2.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would multiply both sides of the inequality by 2 as follows;

2(x - 6) < 1/2(12x - 8)

4(x - 6) < (12x - 8)

4x - 24 < 12x - 8

By collecting like-terms and rearranging the expression, we have:

8 - 24 < 12x - 4x

-16 < 8x

x > -2

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Using the probability formula the value for the largest piece is obtained as 3/4.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Let X be the length of the largest piece when a unit stick is broken into three random pieces.

We want to find E(X), the expected value of X.

To solve for E(X), we can use the law of total probability and consider all possible lengths for the first cut.

Let Y be the length of the first piece, which can take any value between 0 and 1.

Then, we can write -

E(X) = ∫[0,1] E(X|Y=y) fY(y) dy,

where fY(y) is the probability density function of Y and E(X|Y=y) is the expected value of X given that the first piece has length y.

Now, let's consider the possible cases for the lengths of the other two pieces -

If the second cut is made in the interval [0,Y], then the largest piece has length Y.

If the second cut is made in the interval [Y,1-Y], then the largest piece has length 1-Y.

If the second cut is made in the interval [1-Y,1], then the largest piece has length Y.

Therefore, we can write -

E(X|Y = y)

= y × 1 + (1 - y) × 1/2 + (1 - y)×1  

= 1/2 + y/2.

Substituting this into the previous formula and using the fact that the density function for a uniform distribution on [0,1] is fY(y) = 1 for 0 ≤ y ≤ 1, we get -

E(X) = ∫[0,1] (1/2 + y/2) dy

= [y^2/4 + y/2] from 0 to 1

= 3/4.

Therefore, the expected length of the largest piece is 3/4.

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As k(-x) = -k(x), the function k is indeed an odd function. By switching the words in f, we can observe that f(-x) Equals f(x) (x). Hence, f is an even function.

A collection of inputs or one output for each input are referred to as a "function" in this sentence. Simply described, a function is a connection between inputs where each input is connected to exactly one output. Each function has a domain, codomain, or range.

1.The function k is an odd function.

A function is odd if f(-x) = -f(x) for all x. In the case of function k, we have:

k(-x) = 2 - 1(-x) = 1 + 2x

k(x) = 2 - 1(x) = 1 + 2x

Therefore, k(-x) = -k(x), and the function is odd.

2.The function f is an even function.

A function is even if f(-x) = f(x) for all x. In the case of function f, we have:

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

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

We can see that f(-x) = f(x) by swapping the terms in f(x). Therefore, f is an even function.

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the total area available for the design on the soapbox car should be 636 inches² (square inches).

The correct calculations for the area of each side are:

Area of the first side = 6 inches x 54 inches

= 324 square inches

Area of the second side = 54 inches x 14 inches

= 756 square inches

Area of the third side = 14 inches x 24 inches

= 336 square inches

Area of the fourth side = 24 inches x 6 inches

= 144 square inches

To get the total area available for the design, we need to subtract the area of the top and bottom of the soapbox car, which are not included in the original measurements. If we assume the top and bottom are each rectangular and have the same dimensions as the first and third sides, we can calculate their total area as:

Area of the top = 6 inches x 54 inches

= 324 square inches

Area of the bottom = 6 inches x 54 inches

= 324 square inches

Total area of the top and bottom = 324 + 324

= 648 square inches

Finally, we can subtract the area of the top and bottom from the total area of the four sides to get the area available for the design:

Total area available for the design = (324 + 756 + 336 + 144) - 648

= 636 square inches.

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Answer:

Step-by-step explanation:

256. You can make this observation because they pattern has a rule that you multiply by 2 to get the next number.

Answer:

Another observation we can make about this number pattern is that each term is obtained by doubling the previous term. This means that the pattern is an example of exponential growth, where the growth factor is 2.

We can also observe that the sequence is a power of 2, where the first term is 2^2, the second term is 2^3, the third term is 2^4, and so on. In other words, the nth term in the sequence can be represented by the formula 2^(n+1).

Additionally, we can see that the sequence is an increasing sequence, where each term is greater than the previous one. This is because we are multiplying each term by 2, which means that each subsequent term will be twice as large as the previous one.

Answer:

yes

Step-by-step explanation:

The shape Miss Hodgman is describing a parallelogram.

A parallelogram is a two-dimensional flat shape with four sides. It has two pairs of opposite sides that are parallel and congruent, meaning they have the same length. Each pair of opposite sides is also parallel and has equal distance between them. The four interior angles of a parallelogram are all right angles or 90-degree angles.

The opposite angles of a parallelogram are also congruent, which means they have the same measure. The adjacent angles of a parallelogram are supplementary, which means they add up to 180 degrees. Therefore, each angle of a parallelogram measures 180 degrees divided by two, or 90 degrees.

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Answer:

7.64

Step-by-step explanation:

1 week: (100% + 11%) × 6.2

111% × 6.2 = 6.882 cm

OR

11% × 6.2 = 0.682 cm

6.2 + 0.682 = 6.882 cm

Because the plant grows 11% additional to its original height.

1 week = 6.882 cm

2 weeks = 111% × 6.882 cm

OR

11% × 6.882cm = 0.75702 cm

0.75702 cm + 6.882 = 7.63902 cm

Because an additional 11% is added to what was grown in week 1.

=7.63902 cm

= 7.64 cm (rounded to 2 decimal places)

hope this helps!

The number of hours that it will take 24 people in making the boxed lunches on the task would be = 5 hours

The relationship that exists between the number of boxes lunches and the number of people is an inverse relationship.

That is 200 inversely related 1/number of people

That is;

200 × number of people = k

Therefore, 15 people (N1)= 8 hours(T1)

24 people (N2)= X hours(T2)

using the constant of the inverse relationship above;

N1T1 = N2T2

15×8 = 24 × X

X = 15×8/24

X = 120/24

X = 5 hours.

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The population of Medway, Ohio, is expected to be approximately 3728 in the year 2020.

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

Initial, a = 4007

Rate = 0.36% per year

The decay function is represented as

y = a(1 - rate)^x

So, we have

y = 4007 * (1 - 0.36%)^x

This gives

y = 4007 * (0.9964)^x

The year 2020 is 20 years from 2000

So, we have

x = 20

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

y = 4007 * (0.9964)^20

Evaluate

y = 3728

Hence, the approximate solution is 3728

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The equations that could be solved to determine Sylvie's hourly earnings are

110 - 16 = 10h

110 = 16 + 10h

The correct options are the first and fourth options

From the question, we are to determine the equation that could be solved to determine Sylvie's hourly earnings

The equation that represent the total amount Sylvie needs to earn more is

$110 - $16 = $94

and the total number of hours she will work is 10 hours,

Then,

The equation for her hourly earning's, h, is

10 × h = $96

Thus, we can write that

10h = 96

OR

10h = 110 - 16

We will find the equations that are equivalent to this.

The equation that are equivalent to the above equations are

110 - 16 = 10h

110 = 16 + 10h

Hence, the equations are

110 - 16 = 10h

110 = 16 + 10h

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Daren will earn $286 for the week if he sold 122 items.

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

Darrel receives a weekly salary of $289.

And, In addition, $13 is paid for every item sold in excess of 100 items.

Hence, The cost to earn for the week if he sold 122 items is,

⇒ (122 - 100) × $13

⇒ 22 × $13

⇒ $286

Thus, Daren will earn $286 for the week if he sold 122 items.

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Answer:10 cm

Step-by-step explanation:

Answer:B 24 cm

Step-by-step explanation:

The value of x to one decimal place in the given question is 30.33 and 14.76.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot. Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

We are given that;

In triangle 1

Hypotenuse= x

Perpendicular=27

Angle between base and hypotenuse= 63

In triangle 2

Hypotenuse= 18

Base= x

Angle between hypotenuse and base=35

Now in triangle 1

sin63= 27/x

0.89=27/x

x=27/0.89

x=30.33

In triangle 2

cos35=x/18

0.82=x/18

x=14.76

Therefore by trigonometric identities the answer will be 30.33 and 14.76.

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To become a forensic pathologist, you must first complete an undergraduate degree in medicine, biology, chemistry, or a similar discipline, with electives in forensic science, psychology, or a related field.

what is a forensic pathologist?

The forensic pathologist is a pathologist who specialises in the examination of people who die suddenly, unexpectedly, or brutally. A forensic pathologist specialises in establishing the cause and manner of death.

Autopsies are performed to determine the presence or absence of disease, injury, or poisoning; to evaluate historical and law-enforcement investigative information pertaining to determine the cause of death; to gather medical evidence, such as trace evidence and secretions; to document sexual assault; and to recreate how a person was injured.

Now,

To become a forensic pathologist, you must first complete an undergraduate degree in medicine, biology, chemistry, or a similar discipline, with electives in forensic science, psychology, or a related field.

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Answer:

The data in this scenario would most likely be categorical, as the responses would likely consist of categories or labels that describe the different activities that the teenagers would like to see in the community room on Saturdays.

Step-by-step explanation:

For example, the responses might include categories such as "video games," "board games," "movie nights," "sports activities," "arts and crafts," and so on. These categories are not numerical values, but rather descriptive labels.

The value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

What does the coordinate geometry distance formula mean?

In coordinate geometry, the distance formula is used to compute the distance between two specified points.

The distance formula is D=

It is used to determine the distance between two locations (x1,y1)(x1,y1)) and (x2,y2)(x2,y2).

Given: Points P and Q are separated by 17 units. The coordinates of point P are (5, 5) and point Q are (-3,y).

Using the distance formula,

PQ = [tex]\sqrt{(x2-x1)^{2} +(y2 - y1)^{2} }[/tex]

17²  = 64 - y² +25 +10y

289-64-25 = - y² + 10y

y² + 10y - 200 = 0

On solving the quadratic equation we get,

y = -20, 10

Therefore, the value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

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Answer:500

explanchion: 1000/50=500

Answer:

exponential decay

Step-by-step explanation:

because the value that is being multiplied 0.85 is less then 1 then the value decreases.

Ex. when x=0, y=2770, then when x=1, y=2770(0.85) = 2354.5...

When changing the sign of the constant a from positive to negative, the domain remains the same. But the range changes.

A function's range is the set of all values it can accept, whereas its domain is the set of all values for which it is defined.

Consider the given function f(x)=a|x|. Let us consider "a" takes positive values that is [tex]a\geq0[/tex]. Then, the given function is defined as follows,

[tex]f(x)=\begin{cases}a(x)=ax}\; &x\geq0\\{a(-x)=-ax\;&x < 0\end{cases}[/tex]

Then, the domain will be [tex]\text{domain}=\mathbb{R}\{(-\infty, \infty)[/tex] and the range will be given as [tex]\text{Range} = \text{only non-negative real numbers} = \mathbb{R}^++\{0\}[/tex].

Now let us consider "a" takes negative values that is a<0. Then, the given function is defined the same and the domain will remain the same. But the range will be given as [tex]\text{Range} = \text{only negative real numbers} = \mathbb{R}^-+\{0\}[/tex].

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Answer: x = -7

Step-by-step explanation:

3x-4=-25

add 4 on each side

3x=-21

both are divisible by 3

x=-7

Answer:

Penny had 13/20 of the pizza left.

Step-by-step explanation:

Let's start with the whole pizza, which we can represent as 1.

Pania ate a quarter of the pizza, leaving 3/4 (since 1/4 + 3/4 = 1) for Pita and Paula.

Pita then ate one sixth of what remained, which is one sixth of 3/4 or 3/24, leaving 21/24 (or simplifying to 7/8) for Paula.

Paula then ate two fifths of what remained after Pita had eaten, which is two fifths of 7/8 or 14/40, leaving 26/40 (or simplifying to 13/20) for Penny.

Therefore, Penny had 13/20 of the pizza left.

I hope this helps! And if you could label my answer brainliest that would be awesome.

- Dante

Answer:

3/8 of the pizza was left for Penny.

Step-by-step explanation:

Pania ate 1/4 and left 3/4.

Pita ate 1/6 (of the 3/4) and left 5/6.

Paula ate 2/5 (of the 5/6) and left 3/5.

What was left?

3/5 of 5/6 of 3/4

"of" means times

3/5•5/6•3/4

(cancel the 5s and a 3 with the 6, leaving a 2)

= 3/8

But see the illustrated story, it makes way more sense! See image

The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4

To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:

(3 x 107) x (2 x 107) = 6 x (107 x 107)

Next, we can calculate the product of 107 and 107, which is 11,449:

6 x 11,449 = 68,694

In scientific notation, this can be written as:

= 6.8694 x 10^4

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The units of moment of inertia depend on the shape and dimensions of the object, and can be expressed in kg m², g cm², lb ft², or oz in².

The units of the moment of inertia depend on the shape and dimensions of the object. Some common units for a moment of inertia are:

kg m² (kilogram-meter squared)

g cm² (gram-centimeter squared)

lb ft² (pound-foot squared)

oz in² (ounce-inch squared)

These units represent the distribution of mass around an axis of rotation and are used in calculations involving rotational motion and torque.

The moment of inertia is a physical property of an object that determines its resistance to rotational motion. It depends on the mass distribution of the object and its orientation with respect to the axis of rotation. The moment of inertia is typically represented by the symbol I and is measured in units of kg m², g cm², lb ft², or oz in². The moment of inertia can be calculated using the object's mass, dimensions, and shape, and is used in calculations involving rotational motion, such as torque and angular acceleration. Different shapes and distributions of mass have different moments of inertia, which can affect the object's motion and stability.

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Therefore, the expression that equals 3B - 3C in standard form is -21x² - 6x + 24.

In mathematics, an expression is a combination of numbers, variables, and operations that can be evaluated or simplified to obtain a single value or another expression. In algebra, expressions are often used to represent mathematical relationships or formulas, and can be manipulated using various algebraic techniques such as factoring, expanding, simplifying, and solving for unknown variables. Expressions are also used in calculus, probability theory, and many other branches of mathematics to describe mathematical models and relationships.

Here,

We can start by substituting the expressions for B and C into the expression for 3B - 3C and simplifying:

3B - 3C = 3(-3x - 7x²) - 3(-x² - 8 - x)

= -9x - 21x² + 3x² + 24 + 3x

= -21x² - 6x + 24

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This means that his new bearing is 323° clockwise from true north, or simply 0°, which is equivalent to facing due north.

A bearing is a direction measured in degrees relative to a fixed reference point, usually true north. In this case, the man's initial bearing of 307° means that he is moving in a direction that is 307 degrees clockwise from true north.

After he turns 90° to his right, he will be facing in a new direction that is perpendicular to his original direction of travel. Turning 90° to the right means he is now facing due north (since 307° + 90° = 397°, which is equivalent to 37° clockwise from true north).

However, bearings are typically measured as angles clockwise from true north, so we need to convert the angle of 37° counterclockwise from true north into a bearing that is measured clockwise from true north.

To do this, we subtract 37° from 360° to get 323°.

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Option C. The transformation that does not preserve congruence is a dilation by a scale factor of 5.

Congruence is the property of having the same size and shape. In geometry, transformations are operations that change the position, size, or orientation of a figure. Some transformations, such as reflections, translations, and rotations, preserve congruence, meaning that the resulting figure is congruent to the original figure. Other transformations, such as dilations, do not preserve congruence, meaning that the resulting figure is not congruent to the original figure.

A dilation is a transformation that changes the size of a figure by stretching or compressing it. A dilation by a scale factor of 5 means that every point of the figure is multiplied by 5 with respect to a fixed point called the center of dilation. The resulting figure is similar to the original figure, but not necessarily congruent.

On the other hand, reflections, translations, and rotations preserve congruence. A reflection across the x-axis reflects the figure across the x-axis while preserving its shape and size. A translation 4 units up moves the figure up without changing its shape or size. A rotation 90° counter-clockwise rotates the figure 90 degrees counter-clockwise while preserving its shape and size.

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A transformation is applied to create a new figure. Which transformation does not preserve congruence?

A. A reflection across the x-axis

B. A translation 4 units up

C. A dilation by a scale factor of 5

D. A rotation 90° counter clockwise

The Big data characteristic which this mainly involve include the following: B. variety.

In Computer technology, Big data can be defined as large (huge) collections of data that are typically difficult for users to process, analyze, and manage through the use of conventional data tools or traditional database methods and tools.

In Computer technology, big data comprises five Vs and these include the following:

In conclusion, we can infer and logically deduce that variety is the characteristics of that this scenario describe because the team gathers the fans' personalized video clips, tweets, texts, and other posts to the team website.

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Complete Question:

The Mayberry mustangs, a minor league baseball team, recently upgraded their ability to collect data from their fans in order to draw people to their website. the team gathers the fans' tweets, texts, personalized video clips, and other posts to the team website. then they include them in a humorous mashup before each game. Which big data characteristic does this mainly involve? multiple choice question?

Volume

Variety

Veracity

Value

Answer:

The x-intercept is the point where a line crosses the x-axis

Step-by-step explanation: