SOMEONE HELP PLEASE. if f(x) is an exponetial function where f(-0.5)=18 and f(1)=52 then find the value of f(0) round to nearest hundredth

The vertical component of velocity can be zero at specific points in the motion of an object.

What is Velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.

The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.

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Answer:

2875

Step-by-step explanation:

The expression for the students in the class is 5N + 25 + 15 = 90 or N = 10

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

Let the number of students in class be N.

Therefore, from the information provided, the expression for the students in the class can be written as:

5N + 25 + 15 = 90

5N + 40 = 90

5N = 90 - 40

5N = 50

N = 50/5

N = 10

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Answer:252 feet

Step-by-step explanation:

Width = 21 feet

Length = 42 feet

Let us suppose the width as w and length as l.

According to the question, the length is twice the width.

→ l = 2w⠀⠀⠀⠀⠀⠀⠀⠀⠀… ( 1 )

Also, perimeter of the rectangle is 126 feet. We know that,

★ Perimeter of rectangle = 2(length + width)

→ 126 = 2(l + w)

→ 126 = 2(2w + w) ⠀⠀⠀⠀⠀⠀⠀⠀[ l = 2w ]

→ 126 ÷ 2 = 3w

→ 63 = 3w

→ 63 ÷ 3 = w

→ 21 feet = Width

Also, from ( 1 ) :

→ l = 2w

→ l = 2(21 feet)

→ l = 42 feet

→ Length = 42 feet

∴ The length of the rectangle is 42 feet and the width of the rectangle is 21 feet.

Answer:

The factored form of 4m³ – 28m² – 120m is 4m(m – 10)(m + 3). The zeroes of the function would be m = 0, m = –3, and m = 10.

Step-by-step explanation:

I'll give this a shot.

4m³ – 28m² – 120m = 0 — The original expression

4m³ – 28m² – 120m — Did that 0 have any purpose? I just deleted it.

4(m³ – 7m² – 30m) — There's a common factor in here, 4. Let's pull that aside.

4m(m² – 7m – 30) — Actually, there's two common factors. The second one is m! Let's pull that out too!

To factor an expression, you have to break apart the middle term, so to speak. That's only possible if you can find two numbers whose product equals that of the outside terms and whose sum equals the middle term. Here, I'm just dealing with numbers and putting that variable aside.

–30 = 10 × –3

–30 = –10 × 3

–30 = –2 × 15

–30 = 2 × –15 — To solve for any potential factors, let's find all the numbers integers that multiply to –30

Now let's see which one adds up to –7!

15 – 2 = 13 — it's not this one

2 – 15 = –13 — nor this one

10 – 3 = 7 — we're pretty close! Let's switch that negative

3 – 10 = –7 — here we go! Here's our numbers!

4m[(m² – 10m) + (3m – 30)] — now we break apart the middle term. This is all multiplied by 4m, so that still encases everything with brackets.

4m[m(m – 10) + 3(m – 10)] — Factoring the two expressions

4m(m + 3)(m – 10) — simplifying to find our answer! Ta-da!

The area of the triangle found with the formula for finding the area of a triangle with coordinates is; Area of triangle ΔATG = 25 cm²

Area, A = (1/2)×|x₁ × (y₂ - y₃) + x₂ × (y₃ - y₁) + x₃ × (y₁ - y₂)|

The length of CF = √(8² + (8 + 6)²) = √(260) = 2·√(65)

The coordinates of the point T with regards to the point B = ((6 + 8)/2, (6 + 8)/2) = (7, 7)

Coordinates of the point G = (6, 14)

Coordinates of the point A = (0, 6)

Area of a triangle with the coordinates of the vertices specified can be found using the formula;

A = (1/2) × (7 × 14 - 6 × 7 + 6 × 6 - 0 × 14 + 0 × 7 - 7 × 6) = 25

The area of the triangle ΔATG = 25 cm²

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Answer:

\(Probability = 84\%\)

Step-by-step explanation:

First, calculate both areas

\(Area = Length * Width\)

The area of the outer rectangle is:

\(Big\ Area = 20 * 25\)

\(Big\ Area = 500cm^2\)

The area of the small rectangle is:

\(Small\ Area = 10 * 8\)

\(Small\ Area = 80cm^2\)

The area outside the small rectangle is:

\(Outside = Big - Small\)

\(Outside = 500cm^2 - 80cm^2\)

\(Outside = 420cm^2\)

So, the probability that it falls outside the paper inside is:

\(Probability = \frac{Outside}{Big\ Area}\)

\(Probability = \frac{420cm^2}{500cm^2}\)

\(Probability = \frac{420}{500}\)

\(Probability = 0.84\)

Express as percentage:

\(Probability = 0.84*100\%\)

\(Probability = 84\%\)

See attachment for rectangle

The confidence level cannot be determined without knowing the sample size (n) and the population standard deviation (σ) or the sample standard deviation (s) with the degrees of freedom. Your answer: (a) 90%, (b) 99% and (c) 70%

Let's determine the confidence level for each large-sample one-sided confidence bound:
(a) Upper bound: x + 1.28s/√n
The z-score of 1.28 corresponds to a one-tailed confidence level of 90%. So, the confidence level for this upper bound is 90%.
(b) Lower bound: x - 2.33s/√n
The z-score of 2.33 corresponds to a one-tailed confidence level of 99%. So, the confidence level for this lower bound is 99%.
(c) Upper bound: x + 0.52s/√n
The z-score of 0.52 corresponds to a one-tailed confidence level of approximately 70%. So, the confidence level for this upper bound is 70%.

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The ratio of major to minor arc = 2 : 1

What is a Circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

Calculation

The length of an arc (L) with center angle θ is given by:

                                          L = (θ/360) * 2πr

where r is the radius.

Putting the values in the above formula.

For the major arc:

L = (240/360) * 2πr

For the major arc:

l = ((360-240)/360) * 2πr

l = (120/360) * 2πr

The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1

The ratio of major to minor arc = 2 : 1.

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Answer:c

Step-by-step explanation:

hello

the equation given is

the slope of the equation is equal to 2

the points are (-5 ,1)

t

Answer:

t2=15

t3=28

t4=41

first term (a)=2

common difference (d)=13

General terms tn=a+(n-1)d

Answer:

25

Step-by-step explanation:

The two figures shown are made of unit squares. The positive difference of the perimeters, in units, is 8.

Perimeter is the total distance around the boundary of the shape. Since each square has a side length of 1 unit, the perimeter is equal to the number of sides.

1. Figure A: Counting the number of unit squares on the boundary of the shape, the perimeter of the first shape is:   8+4+4+4+4=24 units.

2. Figure B:Counting the number of unit squares on the boundary of the shape, the perimeter of the second shape is: 10+2+10+2=24 units.

The positive difference of the perimeters in units = |24 - 24| = 0 units. Therefore, the positive difference of the perimeters, in units is 0.

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Answer:

assuming that the equations are equal to zero the answers would be

3   ,   -3    ,  5

Step-by-step explanation:

Answer:

It's answer is....abkt

Step-by-step explanation:

It's simple add all and there will be your answer

Answer:

4th option

Step-by-step explanation:

The range is the values of y covered by the graph

The lowest value is a solid dot at y = 2, indicating that y can equal 2.

The graph then increases upwards to infinity.

The range is all real numbers greater than or equal to 2

Answer:

all real numbers greater than or equal to 2

Step-by-step explanation:

The range is all the y-values or outputs. That means that the answer is greater than or equal to 2.

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

192 in 2. multiply all of the numbers together

Step-by-step explanation:

6x4x8=192

Answer:

Step-by-step explanation:

Let v represent the original price of a video game.

Let b represent the original price of a board game.

let y be the total

y=v+b+12

Video games are 20% = 100-20= 80%= 0.8v

 board games are 50% =100-50=50%= 0.5b

the total is now

y=0.8v+0.5b+12

the expression for the total sale price of 2 video games, 3 board games, and 1 basketball

y=2(0.8v)+3(0.5b)+12

y=1.6v+1.5b+12

In a sample of 20 items, where six are defective. In this case, you should use  a. the plus four methods to construct the confidence interval.

The plus four methods, also known as the adjusted-Wald method,  are used when dealing with proportions, especially when the sample size is small or the proportion is close to 0 or 1. Since your sample size is only 20 items, the plus four methods is the most appropriate choice. This method involves adding four "virtual" observations to the sample data: two successes and two failures. This helps to adjust the estimates and produce a more accurate confidence interval.

In conclusion, for constructing a confidence interval for the proportion of defectives in a small sample like the one you provided, it's recommended to use the plus four methods (option a) as it adjusts for the small sample size and provides a more accurate estimate than the large-sample interval. Therefore the correct option is A.

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The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Using synthetic division with K=2, it is determined that K is not a zero of the polynomial f(x). The answer is option b: "no, it is not a zero."



To determine if K=2 is a zero of the polynomial f(x) = 2x^4 + x^3 - 3x + 4, we perform synthetic division. We set up the synthetic division by writing the coefficients of the polynomial in descending order: 2, 1, -3, 0, and 4. Then, we divide these coefficients by K=2 using the synthetic division algorithm.

Performing the synthetic division, we write down the first coefficient, which is 2, and bring it down. We multiply K=2 by 2, which gives us 4, and write it below the next coefficient. Then we add 1 and 4 to get 5, and repeat the process until we reach the end. The final remainder is 14. If K were a zero of the polynomial, the remainder would be 0.

Since the remainder is 14, which is not equal to 0, we conclude that K=2 is not a zero of the polynomial f(x). Therefore, the correct answer is option b: "no, it is not a zero.

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The velocity of the Pacific plate, expressed in centimeters per year (cm/yr), can be determined from the slope of the best-fit line in a geologic study.

In a geologic study, if data points representing the position of the Pacific plate are collected over a period of time, a best-fit line can be calculated to represent the trend of plate movement.

- The slope of this line represents the rate of change of position over time, which corresponds to the velocity of the plate. By examining the slope of the best-fit line and converting it to centimeters per year, we can determine the velocity at which the Pacific plate is moving.

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There are 15,120 ways to distribute the first, second, third, and two fourth prizes among the five different people in the group of nine.

To determine the number of ways to distribute the prizes, we can break down the process step by step: First Prize: There are 9 people in the group, and one of them can be chosen for the first prize. So there are 9 options for the first prize. Second Prize: After the first prize has been awarded, there are 8 remaining people who can be chosen for the second prize. So there are 8 options for the second prize. Third Prize: After the first and second prizes have been awarded, there are 7 remaining people who can be chosen for the third prize. So there are 7 options for the third prize.

Fourth Prizes: There are two fourth prizes to be given. After the first three prizes have been awarded, there are 6 remaining people. The first fourth prize can be given to any one of them, leaving 5 people for the second fourth prize. So there are 6 options for the first fourth prize and 5 options for the second fourth prize. Multiplying the number of options for each step together: Total number of ways = 9 * 8 * 7 * 6 * 5 = 15,120 . Therefore, there are 15,120 ways to distribute the first, second, third, and two fourth prizes among the five different people in the group of nine.

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Given the equation

We can rewrite it as:

• It is a proportional equation.

• The constant of proportionality, k=5

Answer: With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent)

Step-by-step explanation:

STEPS to find the find the scale factor given a center of dilation an image and a Preimage are given below

What is Scale factor, pre-image and dilation?

Dilation: A dilation is a stretch or a contraction in a figure or point's size and placement.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.

Scale Factor: In a dilatation, the scale factor refers to how much the figure is enlarged or contracted.

Step 1:

By comparing the length of one side of the pre-image to the corresponding side of the post-image, one may determine the dilation scale factor. The pre-image must be multiplied by the scaling factor to equal the post-image. If the side of the pre-image is the length of \(lpre\)and the length of the corresponding side of the post-image is \(lpost\),

, then the scale factor is given by k in the equation  =  \(lpre\) \(k\)=\(lpost\).

We can solve for k algebraically.

Step 2:-

Choose a matching group of spots on the pre-image and picture. the main point

(x1,y1) being the focal point of the pre-image (x2,y2) be the Centre of the enlarged picture.

By resolving the following two equations, you may get the coordinates of the Centre of dilation,

Step 3:-

Find the coordinate of center of dilation,

\(x_{0}=\frac{kx1 - x2}{k-1} \\\\y_{0}=\frac{ky1 - y2}{k -1}\)

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Answer:

Answer:

Rm243

Step-by-step explanation:

Rm4500 × 0.018 × 3

=Rm243

Please mark as brainliest;)

Answer:

243

Step-by-step explanation:

(4500*1.8*3)/100

=243

There are 12 players of right handed, according to the question.

What do you mean by percentage?

A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.

According to data in the given question,

We have given data:

A local little league has a total of 60 players of whom 20% are right-handed.

Let x be the total number of players that are right-handed.

The value of x can be found as follow:

x = 20% of 60

x = (20/100)60

x = 0.2(60)

x = 12

Therefore, the total number of players that are right-handed is 12, if the local little league has a total of 60 players of whom 20% are right-handed.

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