Does the function f of x equals 3 times the quantity 1 over 2 end quantity to the x power represent growth or decay? what is the y-intercept of f(x)?

Answers

Answer 1

We have the following for the exponential function f(x) = 3(0.5)x, Exponential decay is represented by the function, Point provides the function's y-intercept (0,3).

A exponential function is defined by what?

The mathematical formula f (x) = a x denotes an exponential function. a constant known as the function's base and a variable called x are present. The transcendental number e, roughly equivalent to 2.71828, is the most frequent exponential-function base.

Where the following parameters are described:

Since a represents the function's starting value, the y-intercept equals (0,3).

The function's rate of change, or b, determines whether it reflects exponential growth (r > 1) or exponential decay (r 1).

The exponential function's rule for this issue is provided by:.

\(y = 3(0.5)^x.\)

Consequently, the parameters are:

a = 3, b = 0.5.

Then: Given that |b| = 0.5 1, the function illustrates exponential decay.

Point (0,3) serves as the function's y-intercept since the value of the coefficient an is equal to 3.

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Related Questions

Please answer quickly!!

Which set of data is represented by the box plot?

Please answer quickly!!Which set of data is represented by the box plot?

Answers

Answer:

C?

Step-by-step explanation:

 use the discriminant to determine how many and what kind of solution to quadric equation X ^2- X = -1/4 

Answers

To determine the number and type of solutions to the quadratic equation x^2 - x = -1/4, we can use the discriminant, which is the part of the quadratic formula that determines the number of solutions. The quadratic formula is:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation. In this case, the coefficients of the equation are a = 1, b = -1, and c = -1/4. Plugging these values into the formula gives us:

x = (1 +/- sqrt(1^2 - 4(1)(-1/4))) / (2(1))

x = (1 +/- sqrt(1 + 1)) / 2

x = (1 +/- sqrt(2)) / 2

Therefore, the quadratic equation has two solutions: x = (1 + sqrt(2)) / 2 and x = (1 - sqrt(2)) / 2. These solutions are both real numbers.

a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal.

Answers

A circle with a circumference of 615.44 units has a radius of 98 units.

A circle is a round closed figure where all its boundary points are equidistant from a fixed point called the center.

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant \(\pi\) and the diameter of the circle.

C = \(\pi\)D

The diameter (D) is the distance across the circle through the center, it is a line that meets the circumference at both ends and it needs to pass through the center. On the other hand, the radius (r) of a circle is the distance from the center of a circle to any point on the circumference of the circle. Radius is half of the diameter.

If r = 1/2 D, then

D = 2r

Evaluating the value of Din the formula of the circumference,

C = \(\pi\)(2r)

C = 2\(\pi\)r

Using the value of \(\pi\) as 3.14 and the circumference as 615.44 units,

evaluate the equation.

C = 2\(\pi\)r

615.44 = 2(3.14)r

r = 615.44/ (2*3.14)

r = 98 units

Therefore, the radius of the circle is 98 units.

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which decimal makes the comparison true 7.68>8.818.687.867.56

Answers

the last one

7.68 > 7.56

please help me <3 uwu

please help me &lt;3 uwu

Answers

Answer:

D or the Last one

Step-by-step explanation:

because the equation equals that and it is a perfect square method because the middle term is not canceled out. Hope this helps!

95 km = ___ cm im giving brainiest, show work pls

Answers

Answer: 9500000

Step-by-step explanation: 95 × 100000 = 9500000

*Multiply the value by 100000*

Classify the system of equations.
-x=1-y
2+y=x+1

Answers

Answer:

x=− 21=−0.5y=y 2 − 21

Step-by-step explanation:

Which one of the following sampling examples would generally lead to the least reliable statistical inferences about the population from which the sample has been selected?
A random sample selected without replacement.
A random sample selected with replacement.
A voluntary response sample.
A systematic sample.

Answers

Voluntary response sample is the sampling example that would generally lead to the least reliable statistical inferences about the population from which the sample has been selected. A voluntary response sample is a sampling technique in which individuals self-select into the sample.

It is also known as self-selection sampling. Voluntary response sampling occurs when sample members are self-selected volunteers, such as in surveys. In this sampling method, it is the participants who determine their participation in the study, and hence, the sample size is unknown.  Also, because the people who volunteer may share common characteristics, this sample is highly prone to bias. The other sampling techniques, like random sample selected without replacement, random sample selected with replacement, and systematic sample, have a high probability of being representative of the population, and thus, reliable statistical inferences can be drawn from them.

Voluntary response sample is the least reliable statistical inference about the population from which the sample has been selected.

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2. Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side lengths of: 41 mm, 40 mm, and 9 mm

True, these measures do form a right triangle.

False, these measures do not form a right triangle.

Answers

The triangle is right. It has the length of the hypotenuse 41mm.

What is Pythagorean Theorem Converse?The Euclidean geometry relationship between a right triangle's three sides is known as the Pythagorean theorem, often known as Pythagoras' theorem, in mathematics. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides. The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the total of the squares on the legs.

We have 41^2 = 1681;

40^2 = 1600;

9^2 = 81;

1600 + 81 = 1681

It works the Pythagorean Theorem Converse.

The triangle is right. It has the length of the hypotenuse 41mm.

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PLEASE HELP making brainiiest if correct

PLEASE HELP making brainiiest if correct

Answers

Answer:

The Right answer is ASA.

One of the angles formed by two intersecting lines measures 30°. What are the measures of the other three angles? i need help ASAP

Answers

Answer: The angles are 30 30, 150, 150

Step-by-step explanation: Two lines intersect means they cross. According to the vertical angle theorem, angles that are across are the same, a line is 180 degrees so it means the angles that make up the supplementary pair add up to 180(180-30=150). So there are 2 150 degree angles and 2 30 degree angles

Answer:

30, 150, 150

Step-by-step explanation:

\(\sqrt{25} is an irrational

Answers

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

⇨ √25 is a rational number

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Hence, √25 is rational.

List the congruent sides.

List the congruent sides.

Answers

Answer:

PQ≅ST; QR ≅TW; PR ≅SW

Step-by-step explanation:

9. Blake is putting carpet in a large
room. He has enough carpet to cover
50 square meters of floor. If Blake
first decides on the length of the
rectangle he's going to cover, the
equation below will tell him what the
width of the rectangle can be.

Answers

The equation that will tell him what the width of the rectangle can be is w = 50m² / length.

What equation represents the width of the rectangle?

A rectangle is a 2-dimensional quadrilateral with four equal right angles. A rectangle has two diagonals that are equal in length and bisect each other.

Area of a rectangle = length x width

Width = area / length

width = 50m² / length.

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4y=x - 4
4x+3y=5
Solve x and y

Answers

Answer:  See below

Step-by-step explanation:

4y = x - 4

y = (1/4)x - 1, or

x = 4y + 4

4x+3y=5

3y = -4x + 5

y = -(4/3)x + (5/4), or

4x = -3y + 5

x = -(3/4)y + (5/4)

There are 7 fourth-grade classes at Grant Elementary. Each class has 28 students. About how many students are in the fourth grade at Grant Elementary?
28 students
140 students
О 210 students
• 280 students

Answers

Answer:

by inuv6gh8vig

Step-by-step explanation:

rydyctcyvuvubig8g

Answer:

210

Step-by-step explanation:

because you multiply 7 and 28 to get 196, and 210 is the closest thing to that. Hope this helped

: )

2 times 10 negative 5th power

Answers

Answer:

3.125e-7

Step-by-step explanation:

What is the probability of picking a diamond card on a deck of cards

Answers

There are 13 diamond cards in a stack of 52 cards,

so the probability of picking a diamond is 13/52 or 1/4

Answer:

very low chance

Step-by-step explanation:

this is because onñy wbout 1 or 2 of those cards come in a deck, if not none

The sail of a boat is in the shape of a right triangle. which expression shows the length, in meters, of the sail? the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long. 7(tan 50°) 7(sin 50°) tangent 50 degrees over 7 sine 50 degrees over 7

Answers

The expression for the length of the sail is x = 7( tan 50° ).

According to the given question.

The sail of a boat is in the shape of a right triangle.

And, the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.

Now, the side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side

And, the side which we do not know the length to will be the opposite side because it is opposite from where the angle is.  

So, we have the the measure of the adjacent side and the angle of the tip. And we have to find the expression for the length of the sail.

Let the length of the sail be x meters.

Now, in the given right angled triangle

We can say that

tan A = Opposite side/Adjacent side

⇒ tan 50° = x/7

⇒ x = 7( tan 50° )

Hence, the expression for the length of the sail is x = 7( tan 50° ).

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Triangle P Q R is shown. Angle Q P R is a right angle. The length of hypotenuse Q R is 14.1 and the length of P R is 12.7. What is the measure of ∠R in △PQR? Round to the nearest degree. 26° 42° 45° 64°

Answers

Answer:

<R = 26degrees

Step-by-step explanation:

Making <R as the reference angle

Adjacent side = 12.7

Hypotenuse = 14.1

Cos <R = adj/hyp

Cos <R = 12.7/14.1

Cos <R = 0.9007

<R = arccos(0.9007)

<R =25.7

<R = 26degrees

Triangle P Q R is shown. Angle Q P R is a right angle. The length of hypotenuse Q R is 14.1 and the length

Answer:

A. 26°

Step-by-step explanation:

I took it on EDG

A plane is 20,000 ft. In the air and descending at a rate of 25 ft. Per minute. Write an equation​ to represent this situation where y is the height of the plane after x minutes.

Answers

Answer:

y=20000-25x

Step-by-step explanation:

Step one:

given data

initial height of plane= 20000ft

rate of descending= 25ft per minute

let x be the number of minutes it took the plane to descend

and let y be the height after x minutes

Step two:

Required

the mathematical expression for the height

the expression for the situation mathematically is

y=20000-25x

Jaylen's soccer practice started at 8:50 A.M. on Saturday morning. The team practiced dribbling for 20 minutes and practiced shooting for 20 minutes. Then they played a scrimmage game for 50 minutes before practice ended. What time was it when Jaylen's soccer practice ended?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

Answer:

it is 10:00 a.m very simple

Answer:

The answer is 10:20 AM

Step-by-step explanation:

First off, add 20 to 8:50. Get 9:10. Add 20 more, get 9:30. Add 50, and get 10:20.

i need real bad help on this question I do not understand at all

i need real bad help on this question I do not understand at all

Answers

Answer: 3.525, 3.25, 3.75

Step-by-step explanation:

This makes sense because these values are all .25 or less away from 3.5

Give brainly please

PLEASE HELP !!!! u will get 15 points

PLEASE HELP !!!! u will get 15 points

Answers

FYI an answer gets half the amount of points you set the value to.

Answer:

x=67 degrees

Step-by-step explanation:

A right angle is 90, the other value is 23. 90+23= 113, 180-113= 67

Answer:

67

Step-by-step explanation:

23 + 90 = 113

180 - 113 = 67

Write five and ninety-five hundredths as a decimal number.

Answers

Answer:

5.95

Step-by-step explanation:

Five and ninety-five hundredths as a decimal number is 5.95.

Hoped this helped.

Answer: 5.95

Step-by-step explanation: I know that 5 and ninety five hundredths is written like this: 5 95/100. I turned it into a decimal by making it into a improper fraction, 595/100 then divididing the numerator by the denominator. The answer would be 5.95.

What is the measure of angle L? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. ​m∠L=​ °. LMN is a right triangle. M is a right angle. LM is equal to 18 inches, and LN is the hypotenuse and is equal to 60 inches.

Answers

The measure of angle L is approximately 48.59 degrees.

What is Pythagoras' Theorem?

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use trigonometry to solve for angle L. Using the Pythagorean theorem, we can find that the length of side MN is:

MN = sqrt(LN² - LM²) = √(60² - 18²) = √(3444) ≈ 58.66 inches

Now, using the definition of sine, we have:

sin(L) = MN / LN = 58.66 / 60

Taking the inverse sine (sin⁻¹) of both sides, we get:

L = sin⁻¹(58.66/60) ≈ 48.59 degrees

Therefore, the measure of angle L is approximately 48.59 degrees.

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In the diagram shown at the right, ABCD is a parallelogram and BF = 16. Find the area of ABCD. Explain your reasoning. (Hint: Draw auxiliary lines through point A and through point D that are parallel to EH.)

Answers

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below. Servers’ Collected Tips Customers 54 46 34 67 52 22 49 64 55 80 38 42 Tips ($) $92 $80 $76 $121 $109 $43 $87 $114 $99 $174 $88 $91 a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line

Answers

Answer:

Simply create a scatter plot then write in a line of best fit.

Step-by-step explanation:

You and your business partner track the number of customers served and the amount of tips collected per

Answer:

create a scatter plot then write in a line of best fit.

Step-by-step explanation:

Amy and Tina each by a coffee.
Amy gets 15p change from £2
Tina gets £2.45 change from £5
How much more does Tina pay than Amy?
Give your answer in pence.

Answers

Answer:

70p

Step-by-step explanation:

Amy-

£2.00 - £0.15 = £1.85

so Amy payed £1.85

Tina-

£5.00 - £2.45 = £2.55

so Tina payed £2.55

£2.55 - £1.85 = £0.70

which means tina payed 70p more

6X -24 in simplest form

Answers

Answer:

Step-by-step explanation:

x=4

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