Kelly's last quiz scores were 79, 89, 86, and 93. What must her next score be to obtain an average that is more than 88

If the pattern continues, the recursive formula for f(n) is f(n) = f(n-1) (3/5), f(1) = 5.

We have to find which function suits the sequence 5, 3, 9/5, 27/25.

Consider the function

f(n) = f(n-1) (3/5), f(1) = 5

When n= 2

f(2) = f(2-1) × 3/5

f(2) = f(1) × 3/5

f(2) = 3

So the 2nd term is 3.

When n= 3

f(3) = f(2)  × 3/5

f(3) = 9/5

So 3rd term is 9/5

When n= 4

f(4) = f(3) × 3/5

f(4) = 27/25

So 4th term is 27/25.

So the recursive formula which suits f(n) is f(n) = f(n-1) (3/5), f(1) = 5.

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Answer:

D

Step-by-step explanation:

y<2

y<x+2

y>-1/4-3

if you plug in one of the points in the included grey area the equations should be true

The statement "System analysts define an object's attributes during the systems design process" is true because  defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.

In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.

For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.

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A function is a mathematical relationship between the domain and the range, two sets of values. The range is the set of output values that the function produces, and the domain is the set of input values for which it is defined.

What is a function, exactly?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

Consider the function f(x) = x^2 as an illustration. This function generates the value f from the supplied value x. (x). This function will return the value 9 if the given value is 3, since 3^2 = 9.

Generally speaking, a function describes the relationship between two sets of values (the domain) (the range). For instance, the relationship between the input value x and the output value f(x) is described by the function f(x) = x^2.

A formula, which is a guide that explains how to calculate the output value for a specific input value, is typically used to express a function. For instance, the function f(x) = x^2 has the formula f(x) = x^2. We just enter the input value into the formula and simplify to determine the output value for a particular input value.

A fundamental idea in mathematics, functions are used to model and describe a wide variety of real-world occurrences. For instance, the quadratic function f(x) = x^2 + 2x + 1 can be used to simulate how an item would move in the presence of gravity. A population's expansion over time can be predicted using the exponential function f(x) = 3^x.

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Answer:

5/4

Explanation:

coordinates given (0,0) and (8,10)

How to find unit rate?

use this formula:

(y2-y1)/(x2-x1)

using the formula:

→(10-0)/(8-0)

→ 10/8

→ 5/4

→ 1.25

Answer:

5/4 cm/s

Step-by-step explanation:

The gradient (slope) of the line is equal to the speed of the object.

Gradient = change in y ÷ change in x

Using the two given points (0, 0) and (8, 10):

⇒ speed = (10 - 0) ÷ (8 - 0) = 5/4 cm/s

Answer:

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

Step-by-step explanation:

The ball will hit the ground when its height is equal to 0 meters, therefore using this value in the expression and solving for "t" will give us the correct solutions.

\(h = -4.9*t^2 + 5*t + 2\\\\-4.9*t^2 + 5*t + 2 = 0\\\\t_{1,2} = \frac{-5 \pm \sqrt{5^2 - 4*(-4.9)*(2)}}{2*(-4.9)}\\\\t_{1,2} = \frac{-5 \pm \sqrt{64.2}}{-9.8}\\\\t_{1,2} =\frac{-5 \pm 8.0125}{-9.8}\\\\t_1 = \frac{-5 - 8.0125}{-9.8} = 1.33 \text{ s}\\\\t_2 = \frac{-5 + 8.0125}{-9.8} = -0.3 \text{ s}\)

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

Answer:

8

Step-by-step explanation:

40 divided by 5 is 8 :D

Answer: A. 8 km/hr/sec

Step-by-step explanation:

You divide 40 by 5

40/5

which you'll get

8

Answer: She worked as a carpenter for 12 hours and a blacksmith for 18 hours.

Step-by-step explanation:

18*25 = 450

12*20 = 240

240 + 450 = 690

12 + 18 = 30.

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster =  (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Answer:

234

Step-by-step explanation:

The coordinates of the x-intercepts are 6 units apart

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

Equation y = x² + 2x - 8

x-intercepts = (-4,0) and (2,0)

The distance between the x-intercepts is calculated as

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, we have

distance = √[(-4 - 2)² + (0 - 0)²]

Evaluate

distance = 6

Here, we have

y = x² + 2x - 8

Differentiate and set to 0

2x + 2 = 0

So, we have

x = -1

In (b), we have

x = -1

So, we have

y = (-1)² + 2(-1) - 8

Evaluate

y = -9

So, the y-coordinate is -9

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The distance between two points on a plane is calculated by finding the length of the straight line between them. The formula used to find the distance between two points (a,b) and (c,d) is given below:Distance = √((c - a)^2 + (d - b)^2)Hence,

the distance between the points (4, 3) and (8, 6) is calculated below:Distance = √((8 - 4)^2 + (6 - 3)^2) = √(4^2 + 3^2) = √(16 + 9) = √25 = 5Therefore, the correct answer is option A, i.e. √((c - a)^2 + (d - b)^2); 5.

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Answer:

Use math-way its a app btw on math-way just type 0.7 and it should turn it into a fraction for you

In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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To find the missing sides and angles of a right triangle with side b = 32 and side c = 51, we can use the Pythagorean theorem and trigonometric ratios.

Let's denote the missing side as a and the angles as A and B, with B being the right angle.

Using the Pythagorean theorem, we know that in a right triangle, the sum of the squares of the two legs (a and b) is equal to the square of the hypotenuse (c):

a^2 + b^2 = c^2

Plugging in the given values, we have:

a^2 + 32^2 = 51^2

a^2 + 1024 = 2601

a^2 = 1577

a ≈ 39.73

Therefore, the length of the missing side a is approximately 39.73.

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the C-CAPM with power utility and lognormal consumption growth predicts that the representative agent in country A will consume more in the current period and that the price of an identical financial asset will be lower compared to country B.

The C-CAPM is a financial model that relates the consumption patterns and asset prices in an economy. In this scenario, the difference in subjective discount factors implies that the representative agent in country A values future consumption relatively less compared to country B. As a result, the representative agent in country A tends to consume more in the current period, prioritizing immediate consumption over saving for the future.

Furthermore, the C-CAPM suggests that the price of an identical financial asset, such as a stock or bond, will be lower in country A. This is because the higher subjective discount factor in country A implies a higher expected return requirement for investors. As a result, investors in country A will demand a higher risk premium, leading to a lower price for the financial asset.

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The value of x is approximately 2.8462° and the value of maN is 37°.

To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
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Step-by-step explanation: The solution to this system of equations will be where the two lines on the graph intersect with each other.

Notice that both of them intersect to the left of the y-axis which means our x - coordinate must be negative.

They also intersect above the x-axis so our y-coordinate must be positive.

So the only option with a negative x-coordinate

and a positive y-coordinate is (-1/4, 3/4).

the maximum number of units of currency that one cannot have using only the denominations of 7, 10, and 53 units is 53.

To determine the maximum number of units of currency that one cannot have using only the given denominations of 7, 10, and 53 units, we can apply the Frobenius coin problem or the Coin Change Problem.

The Frobenius coin problem states that for any two relatively prime positive integers a and b, the largest number that cannot be expressed as an integer combination of a and b is ab - a - b.

In this case, the given denominations are 7, 10, and 53 units. Let's find the maximum number of units that cannot be obtained using only these denominations.

Using the Frobenius coin problem formula, we calculate:

ab - a - b = (7)(10) - 7 - 10 = 70 - 7 - 10 = 53

Therefore, the maximum number of units of currency that one cannot have using only the denominations of 7, 10, and 53 units is 53.

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Answer:

46

Step-by-step explanation:

See Frobenius Coin problem I'm lazy

Niesa sent apprοximately 423 texts last mοnth.

In mathematics, an equatiοn is a fοrmula that expresses the equality οf twο expressiοns, by cοnnecting them with the equals sign =.

The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French an équatiοn is defined as cοntaining οne οr mοre variables, while in English, any well-fοrmed fοrmula cοnsisting οf twο expressiοns related with an equals sign is an equatiοn.

Let T be the number οf texts that Niesa sent last mοnth.

We can set up the equatiοn:

Tοtal cοst = fixed fee + (cοst per text x number οf texts)

$53.84 = $20 + ($0.08 x T)

Sοlving fοr T, we can subtract $20 frοm bοth sides:

$33.84 = $0.08 x T

Then, we can divide bοth sides by $0.08:

T = $33.84 / $0.08

T ≈ 423

Therefοre, Niesa sent apprοximately 423 texts last mοnth.

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At a significance level of 0.05, the sample data is not consistent with the null hypothesis that the proportion of population who would respond "yes" is 0.5. The P-value of 0.0005 is less than 0.05, and also the sample proportion 0.4616 is not in the interval (0.477, 0.523) which we found as 95% Confidence interval.

Therefore, we reject the null hypothesis and conclude that the population proportion of "yes" responses is different from 0.5.

The P-value for a score test for H0: π = 0.5 can be found using the z-score and a standard normal table. The z-score is calculated as

\(z = \frac{x-0.5}{0.5\sqrt{\frac{x-0.5}{n} } }\), that is

z = (x - 0.5) / (√(0.5(1 - 0.5) / n)

where x is the sample proportion of "yes" responses (842 / (842 + 982) = 0.4616), π is the population proportion of "yes" responses, and n is the sample size (842 + 982 = 1824).

\(z = \frac{0.4616-0.5}{0.5\sqrt{\frac{0.4616-0.5}{1824} } }\)

= (0.4616 - 0.5)/ (√(0.5(1 - 0.5) / 1824)

This gives a z-score of -3.28.

To find the P-value, we can use the standard normal table to find the probability of observing a z-score less than -3.28. This P-value is approximately 0.0005, which is less than the commonly used significance level of 0.05. Therefore, we would reject the null hypothesis that π = 0.5.

To construct a 95% confidence interval for π, we can use the formula for a normal approximation interval:

π ± z×(√(π(1-π) / n)) that is

\(\pi \frac{+}{} z\frac{\pi (1 -\pi )}{n}\)

Where π = 0.5, z = 1.96 (for a 95% confidence level), and n = 1824.

This gives a 95% confidence interval of (0.477, 0.523)

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Answer:

6.2

Step-by-step explanation

I gotta head dont I??

Answer:

cost per mile = $2.

Step-by-step explanation:

Given the cost function, c(m) = 2m + 4,

Where the m represents the number of miles traveled, and $2 is the cost per mile of the cab. The $4 represents the flat rate, a set fee, or the initial value.

Therefore, the cost per mile of the cab is $2.  

Answer: empty set

Step-by-step explanation:

All prime numbers only have two factors.

Answer:

475 ft

Step-by-step explanation:

\(\frac{x}{25}\) = \(\frac{38}{2}\)

cross multiply

2x = 950

x = 475

The height of the building is 475 ft.

In similar triangles, corresponding sides are always in the same ratio.

Given that, a triangle is formed by the​ building's height and shadow. Another triangle is formed by the​ flagpole's height and shadow.

The triangles are forming similar triangles,

Let the height of the building be x

Therefore, x/25 = 38/2

x = 475

Hence, The height of the building is 475 ft.

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60 milliliters is equal to 4 tablespoons.

A milliliter (mL) and a tablespoon are both units of measurement for volume. A tablespoon is a unit commonly used in cooking and baking recipes, while a milliliter is a metric unit of measurement.

To find out how many milliliters are in a certain number of tablespoons, we can use the formula:

milliliters = tablespoons x 15

For example, if we want to know how many milliliters are in 3 tablespoons, we can plug in the numbers and get:

milliliters = 3 x 15 = 45 milliliters

So, 3 tablespoons is equal to 45 milliliters.

Similarly, if you want to know how many tablespoons are in a certain number of milliliters, you can use the formula:

tablespoons = milliliters / 15

For example, if we want to know how many tablespoons are in 60 milliliters, we can plug in the numbers and get:

tablespoons = 60 / 15 = 4 tablespoons

It is important to note that, measurements may vary depending on country and context. However, generally 1 tablespoon equals to 15ml is considered as a standard. And it can be used multiple times in converting tablespoons to milliliters or vise versa.

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Answer:

First then second answer below

Step-by-step explanation:

-x+y 4

-1/-1=1      x=1    y=1  

y/1=1/1+4/1

y=1x+4

-x+7y 21

-1/-1=1

7y/7=1/7+21/7

y=1/7x+3