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We can say that the tree's height increased by 12.5% over the course of the six-week experiment.

To calculate the percent increase in the tree's height, we need to find the difference between its new height and its old height, and then express that difference as a percentage of the old height.

We start with the formula:

percent increase = (new value - old value) / old value * 100%

In this case, the old value is the height of the tree at the beginning of the experiment, which is 32 inches. The new value is the height of the tree six weeks later, which is 36 inches.

So, plugging in those values, we get:

percent increase = (36 - 32) / 32 * 100%

Simplifying this expression gives us:

percent increase = 4 / 32 * 100%

And when we evaluate that expression, we get:

percent increase = 12.5%

Therefore, the percent increase in the tree's height is 12.5%.

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Answer:

A

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Answer:

Answer 1008

Step-by-step explanation:

Answer:

The answer to the question is

It take for the golf ball hit on Mars to reach the ground 8.284 s longer.

Step-by-step explanation:

To Solve the question, we note that the equation of motion is given to us as

h = -1.9·t² + 26·t

Therefore the height

We compare the above equation with the equation of of motion

S = ut - 0.5×g×t² where u = initial velocity = 26 m/s and  - 0.5×g = -1.9

Therefore the acceleration due to gravity om mars = -1.9/-0.5 = 3.8 m/s²

We now have the time taken to maximum height given by

v = u - g·t where v = 0 at maximum height

We therefore have u = g·t → 26 = 3.8×t or t = 26/3.8 = 6.84 seconds

The time taken for ball to hit the ground is 2 × the time to reach maximum height = 2 × 6.84 = 13.684 s

The time longer it takes for the ball on Mars to complete the path up to maximum height and down again is 13.684 s - 5.4 s = 8.284 s.

In order to calculate the surface area of the cone, first let's calculate its slant height.

If the diameter is 5 cm, the radius is 2.5 cm. Now, using the Pythagorean theorem, we can calculate the slant height s:

Now, we can calculate the surface area using the formula below:

Rounding to the nearest square centimeter, we have a surface area of 111 cm².

Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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The sets are solved and the compliment of set A = set B

Given data ,

A: Rolling a number greater than 4.

B: The complement of event A (i.e., not rolling a number greater than 4).

Given that we are rolling a single six-sided die, we have the following possible outcomes: {1, 2, 3, 4, 5, 6}.

Event A consists of the outcomes {5, 6} because those are the numbers greater than 4.

The complement of event A, event B, consists of the outcomes {1, 2, 3, 4} because those are the numbers not greater than 4.

Hence , set A = {5, 6} and set B = {1, 2, 3, 4}

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Answer:linear binomial

Step-by-step explanation:

Answer:

B) Linear binomial.

Step-by-step explanation:

????

f(x) = 8/2^3

Rewritten in radical form: f(x) = 2^(3/2)

f(x) = 8(21)

Rewritten in exponential form: f(x) = 2^3 * 21

Key features:

Initial value: 2^3

Exponential base: 21

Domain: All real numbers

Range: All real numbers greater than 0

f(x) = 8/2^3

Rewritten in radical form: f(x) = 2^(3/2)

Key features:

Initial value: 2^(3/2)

Radical base: 2

Domain: All real numbers

Range: All real numbers greater than 0

f(x) = (√10)

Rewritten in exponential form: f(x) = 10^(1/2)

Key features:

Initial value: 10^(1/2)

Exponential base: 10

Domain: All real numbers

Range: All real numbers greater than 0

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Answer:

The mean is 21.12.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

\(E(X) = np\)

In this question:

\(n = 48, p = 0.44\)

Mean:

\(E(X) = np = 48(0.44) = 21.12\)

The mean is 21.12.

Answer:

9.3275

Step-by-step explanation:

Answer:

The percent  decrease is 12.20%

Step-by-step explanation:

$10.25 - $9 / $10.25 * 100% = 12.19512195121951 = 12.20%

Answer:

sides 1 & 2 = 14 2/3 or 14.6667, side 3 = 9 2/3

Step-by-step explanation:

2x + (x-5) = 49

3x - 5 = 49

3x =44

x = 14 2/3

Answer:

Step-by-step explanation:

Let the speed in the morning be s, then in the evening it is s - 4

The distance is equal both directions:

Time in hours:

Multiply all terms by 12 to clear fraction:

The distance is:

Answer:

the answer is 8.4

Step-by-step explanation:

hope it helps. even I'm stuck so I went on brainly and the guy who helped you is a god ls mark the other person brainliest he deserves it with all the clean work and all

First triangle: AEB

Second triangle: ADE

Since there are 2 parallel lines, they divide the Sides AD and AC proportionally.

And also the corresponding angles are congruent.

The triangles are similar,

ΔAEB is similar to ΔADC

L EAB = L DAC

L AEB = L ADC

L ABE = L ADC

Answer:

$136.

Step-by-step explanation:

Divide how much they made by the # of hours. 306/18=17. Multiply the amount per hour 17 by the 8 hours of work. 17x8=136.

Based on the amount saved per week and the down payment of the property, the number of months it will take to save the amount is 46 months.

First, find out the amount saved per month:

= (30% x 2,051) x 2 payments a month

= $1,230.60

The downpayment is:

= 281,700 x 20%

= $56,340

The closing cost is:

= 1.15 x 56,230

= $843.45

The number of months till the amount is saved is:

= (56,340 + 843.45) / 1,230.60

= 46 months

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Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

Step-by-step explanation:

Solve by elimination:

Find values of y:

The pairs are:

Correct choice is B

Answer:

a=61

Step-by-step explanation:

3a-63=a+59

2a-63=59

2a=122

a=61

A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

\(g(x) = \frac{1}{2} e^x -4\)

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Finn would run 18 miles after 6 track practices.

We have,

Generally, A unit rate is a ratio of two measurements with a denominator of 1. To find the number of miles Finn would run after 6 track practices, we can use the unit rate of miles per practice to multiply by the number of practices.

Unit rate: 6 miles / 2 practices = 3 miles per practice

To find the total number of miles Finn would run after 6 practices, we can multiply the unit rate of 3 miles per practice by the number of practices, 6.

Total miles: 3 miles/practice * 6 practices = 18 miles

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Answer:

I'm pretty sure its -2 if not i don't know so sorry.

Step-by-step explanation:

The expression is simplified to r²( r + 1) - (q - s²)

Algebraic expressions are mathematical expressions made up of variables and constants.

They are mostly made up of algebraic operations such as addition, subtraction, division, multiplication, bracket, parenthesis, etc

Given the expression;

r3 – [q + (r – s)2 ]

With the knowledge of BODMAS, we expand the bracket

r³ - q + ( r + s²)

r³ - q + r² - s²

Now, let's collect like terms

r³ + r² - q - s²

(r³ + r²) - (q - s²)

Factor out r, we then have;

r²( r + 1) - (q - s²)

The expression is simplified to r²( r + 1) - (q - s²)

Thus, the expression is simplified to r²( r + 1) - (q - s²)

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Transformations that preserve angle measure and segment lengths ​are:

• similarity

• translation

• rotation

• reflection

•

The error that was made in finding the area of the circle is that diameter was used for radius. The correct area of the circle is: 113.10 ft²

The formula for area of a circle is expressed as:

A = πr²

where:

A is Area

r is radius

From the given circle, we are given the diameter as 12.

But radius = diameter/2 = 12/2

radius = 6

Thus, the error is that they used the diameter as radius.

Correct area of circle = π * 6²

= 36π

= 113.10 ft²

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The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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