Kara's car used 1/16 gallons
of gas to drive 1/8 of a mile. At
this rate, how many miles can
Kara's car drive using one
gallon of gas?

Answer:

C) 2m + 12 > 24

Step-by-step explanation:

Diego already has 12 goldfish.

He is getting 2 fish each month.

He will have more than 24.

Go step by step that what helps me and that's why I got a 100 on the TFAR.

Answer:

\(a_1 = 5\)

\(a_n = a_{n-1} + 2\)

Step-by-step explanation:

Given

\(a_n = 5 + (n - 1)2\)

Required

The equivalent recursive function

The general explicit function is:

\(a_n = a_1+ (n - 1)d\)

So, by comparison

\(a_1 = 5\)

\(d = 2\)

The recursion of an arithmetic sequence is:

\(a_n = a_{n-1} + d\)

Substitute 2 for d

\(a_n = a_{n-1} + 2\)

Hence: (a) is correct

To solve the system of equations using substitution we replace the value of y from the first equation into the second equation to find the value of x.

solve the equation for x

using the value of x in either equation find the value of y

The solution for the system of equations is:

X= -1,5

y= 0.75

Answer:

The y intercept should be 2 lower than the original equation

Step-by-step explanation:

Interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

Higher Placement The College Board's Advanced Placement Program makes a college-level course and exam in United States Government and Politics available to high school students.

By organizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues, interest groups enable citizen participation in governance.

a group of individuals united by a shared interest or objective and working to sway public policy. group leaders. As adolescents gain knowledge, they frequently form their own groups. government.

Therefore, interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

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Answer:

step one

Step-by-step explanation:

of is a key word for division

Answer:

y = 14  x = 2

Step-by-step explanation:

what we know:

x + y = 16

x = 3y - 40

3y - 40 + y = 16

4y - 40 = 16

add 40 to both sides

4y = 56

y = 14

x = 3(14) - 40

x = 42 - 40

x = 2

A graph of the equality that models the number of pizzas they can make is shown in the image attached below.

The three (3) possible solutions include the following:

In order to write an equation that model this situation, we would assign variables to the small pizza shop and the large pizza shop respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation based on the fact that the small pizza makes use of 12 ounces and a large pizza uses 18 ounces of dough as follows;

12x + 18y = 4800

Next, we would use an online graphing calculator to plot the above algebraic equation as shown in the graph attached below

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area is just length times width ! so u do 90 x 100 = 90,000cm^2 :)

The simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

The expression cos^2x sin^4x can be simplified by using the trigonometric identity that states sin^2x + cos^2x = 1.

We can rewrite cos^2x sin^4x as cos^2x (sin^2x)^2. Then, using the trigonometric identity sin^2x + cos^2x = 1, we can substitute (1 - cos^2x) for sin^2x.

This gives us cos^2x (1 - cos^2x)^2, which can be expanded using the binomial theorem to give cos^2x (1 - 2cos^2x + cos^4x).

Finally, we can simplify this expression further by distributing the cos^2x term and collecting like terms to get cos^2x - 2cos^4x + cos^6x.

Therefore, the simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

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Answer and Step-by-step explanation:

-2 is the correct answer.

But, you should set up your number line like this:

 -6                       4

<-|-----------|----------|->

              -2

4 - 6 = -2

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

(-1,3)

Step-by-step explanation:

2<2x+4

2x+4<10

-2<2x

2x<6

(-1,3)

-1<x<3

Answer:

A

Step-by-step explanation:

–1 ≤ x < 3

The value of "n" is 6.

"n" is related to a circle with intersecting chords labeled 5, n+4, 7, and n+8 [1]. To find the value of "n", we can use the property that states that if two chords intersect inside a circle, the products of their segments are equal. Using this property, we can set up the following equation:

7(n+4) = 5(n+8)

Expanding the brackets, we get:

7n + 28 = 5n + 40

Simplifying, we get:

2n = 12

n=6

A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a fixed distance (called the radius) from a given point (called the center). It is a closed shape, meaning that it has no beginning or end, and its boundary is a continuous curve.

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The ratio of surface areas of two similar Pyramids, we need to square the ratio of their corresponding side lengths, then multiply by the ratio of their heights. The answer is D. 27:8.

The ratio of surface areas of two similar pyramids, we need to square the ratio of their corresponding side lengths, then multiply by the ratio of their heights.

Let's call the height of the larger pyramid h1 and the height of the smaller pyramid h2. We can see from the diagram that the ratio of their heights is h1/h2 = 21/14 = 3/2.

Now let's consider the ratio of their base side lengths. The larger pyramid has a base side length of 21 inches, and the smaller pyramid has a base side length of 14 inches. So the ratio of their base side lengths is 21/14 = 3/2.

Therefore, the ratio of their surface areas is:(3/2)^2 x 3/2 = 27/8

So the answer is D. 27:8.

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The study of hypnosis and its relationship to hysteria was the starting point for the development of psychoanalysis by Sigmund Freud.

The study of hypnosis and hysteria in the late 19th century by Sigmund Freud and his contemporaries led to the development of psychoanalysis, a form of psychotherapy that emphasizes the role of unconscious thoughts and feelings in shaping behavior. Through his work with patients suffering from hysteria, Freud became interested in the idea that psychological conflicts could be traced back to early childhood experiences, and that these conflicts could be resolved through the exploration of unconscious thoughts and feelings. This eventually led to the development of psychoanalysis as a theory and practice for the treatment of psychological disorders.

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Answer:

Option C

Step-by-step explanation:

Given the following question:

25% of 20

To find the answer we use the formula to calculate percentages.

\(\frac{p\times n}{100}\)
\(\frac{25\times20}{100} =25\times20=500\div100=5\)
\(=5\)

The answer is the third option or "5."

Hope this helps.

When solving a real world problem to find a person’s age, a negative solution won't make sense because we can't have a negative age in this type of scenario.

This is defined as the amount or the duration of time an individual or organism has existed in a certain environment and is usually calculated from the day the person was given birth to.

When solving for age , a negative solution doesn't make sense because every organism has a positive age value and not a negative one. This is because as time goes on, we experience various forms of growth and ageing.

This is therefore the reason why it was chosen as the most appropriate choice.

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For an appropriate use the uniform distribution is to describe a continuous random variable x when relative frequencies of all possible values of x are about the same. So, option(d) is right one.

The uniform distribution is a distribution in which all values are equal. The interval [a,b] of a continuous variable X is said to be divided into one or four parts, meaning that all values in the distribution are equal or equal. If the probability density function equals f(x) = 1/(b−a), x∈[a,b] and is 0 elsewhere, we write X∼U(a,b). A curve is "uniform" when all events have the same probability. That is all occurrences of events have the same frequency. Accordingly, the correct answer is option (c).

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We get domain from X-axis:

Answer:

25x-5

Step-by-step explanation:

Answer:

9 hours.

Step-by-step explanation:

$357 / 17 = $21. ($21 per hour.)

$189/$21 = 9. BOOM

The Z scores a way to standardize and compare data, as well as to identify outliers.

In simple terms, Z bases give information about how far a data point is from the means of the data set in standard deviation units. The original non-standardized heights, on the other hand, did not guarantee this information.

Z scores are used to standardize data and are useful when comparing two or more different data sets. By converting the original data to Z scores, we can compare data that is on different scales or has different units.

For example, suppose we have two data sets: one with heights measured in inches and the other with weights measured in pounds. We cannot compare these data sets directly as they are at different scales. However, by converting them to Z scores, we can compare them on the same scale.

In addition, the obtained Z's provided a way to identify outliers in the data set. Outliers are data points that are unusually far from the means of the data set. Z scores greater than 3 or less than -3 are generally considered outliers.

In general, the obtained bases are a way to standardize and compare data, as well as to identify outliers.

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Answer:

b.

Step-by-step explanation:

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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Answer:

400

Step-by-step explanation:

2500=x+(x+500)+(3x)

2500=5x+500

2500-500=5x

2000=5x

x=400

The correct solutions are, Local Maximums: (1, 5) Local Minimums: (1, 3) Saddle points: DNE.

The given equation is: 2 = (z² - 6x) (y² - 8y)

To find the critical points, differentiate the given equation partially with respect to x and y.

Differentiating the given equation with respect to x and y, we get

2y² - 16y - 6 = 0(2z² - 12)

= 0

Solving both the equations, we get

y² - 8y - 3 = 0z²

= 6

Critical points are obtained at (1, 5) and (1, 3).

Classification of the critical points is as follows:

Local Maximums: (1, 5)

Local Minimums: (1, 3)

Saddle points: DNE

Saddle points are not obtained.

Therefore, the answer is:

Local Maximums: (1, 5) Local Minimums: (1, 3) Saddle points: DNE.

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