Find the nth term of the following sentence
-5,-2,3,10,19

Answer:

2 gallons of milk per week

0.35 weeks(3.5 days) to consume 1 gallon

Step-by-step explanation:

Jaidyn's family drinks 10 gallons of milk every 5 weeks, which is a ratio of

10:5

To find how many gallons of milk they drink per week, you'd have to divide 10/5

10 ÷ 5 = 2

Considering that 1 week is 7 days, it would take them 0.35 weeks to consume 1 gallon of milk, which is the same as 3 and a half days.

Matching a logarithmic function with its graph can be done by understanding the key characteristics of logarithmic functions and how they are represented on a graph.

A logarithmic function is of the form y = log base b (x), where b is the base of the logarithm (usually 10 or e).

The graph of a logarithmic function is a reflection of the exponential function of the same base b, across the line y=x.

Here are some key characteristics of logarithmic functions and their corresponding graphs:

1) Asymptote: The graph of a logarithmic function has a vertical asymptote at x=0, since the logarithm of a non-positive number is undefined.

2) Domain: The domain of a logarithmic function is x>0, since the logarithm of a negative number is undefined.

3)Range: The range of a logarithmic function is all real numbers

4) Increasing or decreasing: A logarithmic function is increasing over its domain

5) Shape: The graph of a logarithmic function is concave down.

6) x-intercept: The x-intercept of the graph is (1,0), since the logarithm of 1 is always 0.

By keeping these characteristics in mind, you can match a logarithmic function with its graph by observing the shape, asymptote, domain and range of the graph.

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Two statements are logically equivalent if they have the same truth value in all possible circumstances, meaning that they are either both true or both false in any given context.

For example, the statement "All dogs are mammals" is logically equivalent to the statement "All non-mammals are not dogs." Although the statements use different words and phrasing, they convey the same information and are both true.

Another example would be the statement "x>2" is logically equivalent to the statement "x>=3" because they both would have the same solutions.

Logical equivalence is important in logical reasoning, proof and in computer science where it is used to determine if two statements are logically equivalent which leads to simplify the boolean expressions.

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The formula for finding the height of an isosceles triangle is h = (2*A)/b, where h is the height, A is the area of the triangle, and b is the base of the triangle.

The formula for finding the height of an isosceles triangle is h = (2*A)/b, where h is the height, A is the area of the triangle, and b is the base of the triangle. To use this formula, the area of the triangle must first be calculated. To do this, multiply the base of the triangle by its altitude, or the perpendicular distance from the base to the vertex opposite it. Once the area is known, the height of the triangle can be calculated by multiplying the area by two and dividing it by the base. This will give the height of the triangle. For example, if a triangle has a base of 5 and an area of 10, then the height of the triangle is (2*10)/5, or 4.

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Answer:

70 members

Step-by-step explanation:

Let's call the number of total members x. We know that 30% or  [tex]\frac{3}{10}[/tex] of the members forgot, so our equation looks like this:

[tex]\frac{3}{10}x = 21[/tex]

Then, we will multiply both sides by 10 to get rid of the fraction:

3x = 210

Finally, we will divide both sides by 3 to find out our variable, x:

x = 70

So, there are 70 members in total.

Hope this helped!

Answer:

f(3) = 2

Step-by-step explanation:

See the attached graph.  f(3) = ____ is asking us to find the value of the function, f, at the point x = 3.  At x = 3, the value of y is 2.

Therefore , the solution to this problem of unitary method comes out to be he should use 4 teaspoons of chocolate syrup instead of 5.

A single or distinct variable is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

Here,

Given :This recipe was doubled by Kiran. He used 4 cups of crushed ice, 6 tablespoons of chocolate syrup, 6 tablespoons of peanut butter, and 2 cups of yogurt.

1. Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.

2. Answers vary. Sample response: he should use 4 teaspoons of chocolate syrup instead of 5.

Therefore , the solution to this problem of unitary method comes out to be  he should use 4 teaspoons of chocolate syrup instead of 5.

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Answer:

y - (-2 ) = 1\2 ( x- 8)

Step-by-step explanation:

The point slope form equation is  y-y₁=m(x-x₁)

( -6 ,   5 )      (  8 ,  -2  )

( x  ,  y )       (x1 ,  y1 )

Firstly we need to find the slope

                                                                     y1  -  y              -2  -  5

we can find the slope by this equation : -------------      =  --------------

                                                                    x1  -   x                 8  - (-6)

The slope is 1\2

Answer:

Jared's groceries = 495

Step-by-step explanation:

We calculate 11% from Jared monthly income:
11% x 4500 = 495

Jared's groceries = 495

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Answer: its D

Step-by-step explanation: 3 yard is bigger then 6 feet because 3 yards equals 9 feet hope this helps

Subtract 0.1 from both sides49x+ 0.10= 117.90

49x+0.1-0.1=117.9-0.1

x=2.404

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Answer:

p(r(-3)) = 114

Step-by-step explanation:

I assume you want help with just #4:

[tex]r(x)=5r+2\\r(-3)=5(-3)+2=-15+2=-13\\\\p(x)=x^2+4x-3\\p(r(-3))=p(-13)=(-13)^2+4(-13)-3=169-52-3=117-3=114[/tex]

According to the table the wavelength that has the least amount of electromagnetic energy is B having a wavelength of 4.0 x 10⁻⁶ m

Radiant energy that moves in waves at the speed of light is called electromagnetic energy. It can also be referred to as radiant energy, electromagnetic radiation, electromagnetic waves, light, or the movement of radiation.

Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal traveling through space or over a wire.

This length is often stated in meters when using wireless technology (m),

The relationship between a electromagnetic energy and wavelength is in inverse relation. This means that the least wavelength will result to greatest electromagnetic energy

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complete question

(03.05 MC) The table below shows the wavelength of four electromagnetic waves in meters (m).

Electromagnetic Wave      Wavelength

A                                         3.0 x 10² m

B                                         4.0 x 10^-6 m

C                                         1.2 x 10-¹2 m

D                                         2.0 x 10 m

According to the table, which electromagnetic wave has the least amount of energy? ​

Convert from number format to standard form as a decimal multiplied by a power of 10.

step 1

convert 1.5806*10rais to 4

Convert to decimal notation

1.5806*10^4

The exponent is 4, making it 10 to the power of 4. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 4 time(s)

1.5806 ->15806

step 2

final result

15806

Simplify the expression

1.581*10^4

Simplify exponents and square roots

1.581*10^4

10 ^4 = 10 × 10 × 10 × 10 = 10,000

1.581*10000

Perform any multiplication or division, from left to right:

1.581*10000

15806

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Using the concept of conditional probability and the conditions provided, The answer is [tex]\frac {p^2}{2pq}[/tex] .

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities can be calculated using the ratio of the number of favorable outcomes to the total number of possible outcomes. It helps us to understand the uncertainty of events.

A false positive result is when a test indicates that a particular condition or attribute is present, when in reality it is not. For example, in medical testing, a false positive result would occur when a test for a disease returns a positive result but the person being tested does not actually have the disease. False positives can have serious consequences, as they can lead to unnecessary treatments, further testing, and anxiety for the person being tested.

p=probability of occurrence

q=1-p

P(false positive for both subjects | false positive for one subject) = P(false positive for both subjects and false positive for one subject) / P(false positive for one subject)

P(false positive for both subjects | false positive for one subject) = p^2 / (2pq)

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Answer:

D

Step-by-step explanation:

A Gradient is also called a slope of a line, which represents how steep a line is.

Formula of slope: Vertical difference ÷ Horizontal difference

For a slope to be zero, the line must be horizontal.

Based on the question given, we can deduce that D is a horizontal line and therefore the slope is zero.

A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.

The area occupied within an object's three-dimensional bounds is referred to as its volume. The basic formula for volume is length, width, and height, as opposed to the basic formula for the area of a rectangular shape, which is length, breadth, and height. No matter how you refer to the various dimensions, the calculation remains the same. It is sometimes referred to as the vessel's "capacity" or "volume." infant milk bottle with milliliter measuring indications and juice bottle with a 1 liter capacity.

given

Calculate the box's volume and provide your answer in units.

Due to the fact that x = 4.28, the remaining sides are 2x + 5 = 2(4.28) + 5 = 13.56

and x - 2 = 4.28 -2 = 2.28.

We are aware that volume is calculated as follows: 13.56 (4.28) ( 2.28 )

=[tex]135.25cm^{3}[/tex]

A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.

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Answer:

43%

Step-by-step explanation:

calculate percentage as

( number of students in athletics team ÷ total students ) × 100%

= ( 86 ÷ 200) × 100%

= 0.43 × 100%

= 43%

Answer:

9m^8 n^2

Step-by-step explanation:

Open up the parenthesis and simplify to find your answer.

Answer: 215

Step-by-step explanation:

There are 90 ways to arrange 6 beads of distinct colors in a 2*3 grid if reflections and rotations are considered the same.

In order to reach this result, we may use Burnside's Lemma, which states that the average number of arrangements of a symmetric object's symmetric parts, is taken throughout the set of all possible symmetry operations of the object.

You may fix one element and position the rest around it because of the rotation. You now have a total of 90 configurations available.

Thus, If reflections and rotations are treated equally, there are 90 ways to arrange 6 beads of different colors on a 2*3 grid.

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3y + 2 = 2y - 5x

3y - 2y = -5x -2

y = -5x - 2

need pointz

Step-by-step explanation:

By analytical geometry, the line y = - 2 · x - 1 represents a line perpendicular to the line shown in the picture. (Correct choice: C)

According to analytical geometry, lines are described by polynomials of the form:

y = m · x + b

Where:

And the equation of the perpendicular line pass through a point of original line and is related to the slope of the line by following relationship:

m · m' = - 1

Where:

First, determine the slope and intercept of the original line:

(x, y) = (0, 1)

1 = m  · 0 + b

b = 1

(x, y) = (2, 0)

0 = m · 2 + b

2 · m + b = 0

m = - b / 2

m = - 1 / 2

Second, calculate the slope of the perpendicular line:

m' = 1 / (- 1 / 2)

m' = - 2

Third, we conclude by discarding options that the equation of the perpendicular line is y = - 2 · x - 1.

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Answer:

A

Step-by-step explanation:

[tex]-2<-1 \frac{5}{8}<-1[/tex], and A is the only point between -2 and -1.

Answer: i believe your answer would be C.

Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.

Answer:

Step-by-step explanation:

Given the value function v(t) = 20000·0.86^t, you want the value after 4 years and 10 years.

Put the value of t in the formula where t is, and do the arithmetic.

The attached calculator output tells us ...

  value after 4 years: $10,940

  value after 10 years: $4,426

__

Additional comment

When you are asked to do the same evaluation with different numbers, it is convenient to process them as a list, or using a spreadsheet.

The answer to the addition equation  (-7.14) + (-5.2) = -12.34

Addition is a mathematical operation in which two numbers are combined together using the addition symbol, +.

Since we have the equation (-7.14) + (-5.2), we desire to add both numbers together. We proceed to add the two numbers as follows.

(-7.14) + (-5.2) = -7.14 - 5.2

= -12. 34

So, we see that the answer to the addition equation (-7.14) + (-5.2) = -12.34

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y=-2x-5 and y=-7x+15.75 are equations in  slope-intercept form for each line.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

We need to find equation in slope-intercept form of line passing through of (-6,7) to (1,-7) and one more line passing through (1.25,7) to (3.25,-7)

Slope of line with (-6,7) to (1,-7) is m=-7-7/1+6=-14/7

=-2

y intercept we have to find

7=-2(-6)+b

7=12+b

-5=b

So slope intercept form of line passing through (-6,7) to (1,-7) is y=-2x-5

Now Slope of line with (1.25,7) to (3.25,-7) is

m=-7-7/3.25-1.25

m=-14/2=-7

y intercept we have to find

7=-7(1.25)+b

7=-8.75+b

b=15.75

So slope intercept form of line passing through (1.25,7) to (3.25,-7) is y=-7x+15.75

Hence, y=-2x-5 and y=-7x+15.75 are equations in  slope-intercept form for each line.

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Answer:

Roots:  -7, 2

Step-by-step explanation:

-x² = 5x - 14

-x² -5x +14 = 0

x² + 5x - 14 = 0

(x + 7)(x -2) = 0

x = -7 or x = 2

The measure of the two marked angles are as follows:

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate exterior angle, alternate interior angles, linear angles, vertically opposite angles, same side interior angles etc.

According to the diagram the parallel lines are cut by the transversal and formed the angles.

Hence, the angles are alternate exterior angles.

Alternate exterior angles are congruent. Hence, the angles are as follows:

10x - 20 = 7x + 4

10x - 7x = 4 + 20

3x = 24

x = 24 / 3

x = 8

Therefore, the angles are as follows:

10x - 20 = 10(8) - 20 = 80 - 20 = 60 degrees

7x + 4 = 7(8) + 4 = 56 + 4 = 60 degrees.

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