An igloo can be modeled as a hemisphere. Its diameter measures 12 m. Find its volume in cubic meters. Round your answer to the nearest tenth if necessary.

Answer:

The rate at which the horizontal velocity of the ball changes every second is, 19%.

Step-by-step explanation:

The exponential decay function is given by:

\(y=a(1-r)^{t}\)

Here,

y = final value

a = initial value

r = decay rate

t = time

The relationship between the elapsed time, t, in seconds, since Mustafa threw the ball, and its horizontal velocity, V (t) is:

\(V(t)=4\cdot (0.81)^{t}\)

The expression for the horizontal velocity of the ball represents the exponential decay function.

On comparing the two equations we get:

\(1-r=0.81\\r=1-0.81\\r=0.19\)

Thus, the rate at which the horizontal velocity of the ball changes every second is, 19%.

Answer:

Its 3/6

Step-by-step explanation:

Answer:

one eqwivelent fraction that is = to 1/3 is 2/6 if u need more just comment and i will responed back

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Hope this helps if you need the steps just let me know.

Answer:

4

Step-by-step explanation:

Step 1:

12x - 2 ( 4x - 6 ) = 28

Step 2:

12x - 8x + 12 = 28

Step 3:

4x + 12 = 28

Step 4:

4x = 16

Answer:

x = 4

Hope This Helps :)

Answer: The answer is A

Result

0

=

0

0=0

The input is an identity: it is true for all values

Step-by-step explanation:

Answer:

D) Infinitely many solutions

Step-by-step explanation:

5x - 7x + 6 = -2(x - 3)

Distribute -2 on the right side of the equation:

5x - 7x + 6 = -2(x) + (- 2)(-3)

5x- 7x + 6 = -2x + 6

Combine like terms:

5x- 7x + 6 = -2x + 6

-2x + 6 = -2x + 6

-2x + 6 - 6 = -2x + 6 -6

-2x = -2x

-2x + 2x = -2x + 2x

0 = 0

This solution indicates that there are infinitely many solutions or all real numbers.

Answer:

Step-by-step explanation:

Begin by squaring both sides to get rid of the radical. Doing that gives you:

\(sin^2x=1-cosx\)

Now use the Pythagorean identity that says

\(sin^2x =1-cos^2x\) and make the replacement:

\(1-cos^2x=1-cosx\). Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:

\(1-cos^2x+cosx-1=0\) and then simplify to

\(cosx-cos^2x=0\)

Factor out the common cos(x) to get

\(cosx(1-cosx)=0\) and there you have your 2 trig equations:

cos(x) = 0 and 1 - cos(x) = 0

The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at

\(x=\frac{\pi }{2},\frac{3\pi}{2}\)

The second equation simplifies to

cos(x) = 1

Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.

So, in the end, your 3 solutions are

\(x=\frac{\pi}{2},\pi,\frac{3\pi}{2}\)

Answer: 8+2x

Step-by-step explanation:

Hi, Perimeter is the distance around a two-dimensional shape.

To calculate it, we have to add all the side lengths of the figure. The missing side  is the ? side (right side). To obtain it we have to subtract the top right side length (2) to the left side length (12)

So, the expression is equal to:

P = 12+ (x-4) + (x-12) +2 +(12-2)

P = 12+ x - 4 +x -12+2 +10

P = 12-4-12+2+10+x+x

P =8+2x

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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dp/dt = t ² p - p + t ² - 1

Factorize the right side:

dp/dt = p (t ² - 1) + (t ² - 1)

dp/dt = (p + 1) (t ² - 1)

So the differential equation is separable as

dp/(p + 1) = (t ² - 1) dt

Integrate both sides:

∫ dp/(p + 1) = ∫ (t ² - 1) dt

ln|p + 1| = t ³/3 - t + C

Solve for p :

p + 1 = exp(t ³/3 - t + C )

p + 1 = C exp(t ³/3 - t )

p = C exp(t ³/3 - t ) - 1

Answer:

25%

Step-by-step explanation:

Like and give 5 star rating

Mark brainllest please

Answer:

3.75 hours

Step-by-step explanation:

Bob completes his homework in 2.5 hours.

In 1 hour, he completes 1/2.5 of his homework.

Joe completes his homework in x hours.

In 1 hour, he completes 1/x of his homework.

Together, they complete the homework in 1.5 hours.

In 1 hour, they do 1/1.5 of the homework.

1/2.5 + 1/x = 1/1.5

Convert the decimal numbers in the numerators into fractions.

1/(5/2) + 1/x = 1/(3/2)

2/5 + 1/x = 2/3

Multiply both sides by the LCD, 15x.

6x + 15 = 10x

-4x = -15

x = 3.75

Answer: 3.75 hours

Answer:

The angular velocity of Earth is π/12 radians per hour.

The angular velocity of Earth is 2π radians per day.

Step-by-step explanation:

A full circumference of a circle (as the Equator line on Earth) is 2π radians.

Since the planet does a full revolution in 24 hours... that means it makes a full turn in a day.

So, we can see that in a day, the planet rotates 360 degrees... or 2π radians per day!

Now, if you want to find the angular velocity per HOUR... you divide that by 24... so  2π/24 = π/12 radians

So, we can also say it does π/12 radians per hour.

By applying formulas of logistic growth we can find the answers as part (a) P(t) = 1800 / (1+3e^(-0.8t)) and part(b) 1.37 years

In a logistic growth the growth rate decreases with the passage of time until the growth reaches the maximum capacity at infinite time.

The formula is f(t) = L / (1+ ye^(-kt))

where L is the maximum value, k is the growth rate, y is a constant and t is time.

Part(a)

In this case, L = 1800, k = 0.8 yr-1

f(t) = 1800 / (1 + ye^(-0.8)t)

at t = 0 , f = 450,

450 = 1800/ (1+y)

solving this gives, y = 3

Thus the final answer is f(t) = 1800/ (1+ 3e^(-0.8t))

Part(b)

we need to find the time when f(t) = 900

900 = 1800/(1+3e^(-0.8t))

t = 1.37 years

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Answer:

Now, the Lowest Common Multiple (LCM) of 55 & 77 is :

The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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Answer:

1.-13.2

2.6485

Step-by-step explanation:

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

câu này là 500 nhen

Answer:

1.05

Step-by-step explanation:

Because 30% of 70 is \(30\% \times 70 = \frac{30}{100} \times 70 = 0.3 \times 70 = 21\), so the question becomes "21 is what percent of 2000?"

To answer this, we can solve for \(x\) in the equation \(21 = x\% \times 2000\), which is:

\(21 = x\% \times 2000\\21 = \frac{x}{100} \times 2000\\21 = 20x\\x=\frac{21}{20}=1.05\)

So the answer is 1.05 percent.

The Answer fam is.............5

Answer:

a. x = 4

b. x = 17.5

Step-by-step explanation:

a. 5x/2 + 1 = 11

5x/2 = 10

5x = 20

x = 4

b. 2x/7 - 3 = 2

2x/7 = 5

2x = 35

x = 35/2

Answer:

a) x = 4

b) x = 17.5

Step-by-step explanation:

Isolate x variable to find the value.

5x/2 + 1 = 11

5x/2 = 10

5x = 20

x = 4

2x/7 - 3 =2

2x/7 = 5

2x = 35

x = 17.5

Answer:

x = -2/ 9

Step-by-step explanation:

\( \frac{2}{5}(x - 2) = 4x \\ \frac{5}{2} \times \frac{2}{5}(x - 2) = 4x \times \frac{5}{2} \\ x - 2 = 10x \\ 9x = - 2 \\ x = \frac{ - 2}{9} \)

Answer: D

Step-by-step explanation:

To find f(g(x)), you want to take g(x) and plug that into f(x). Since we are given f(x) and g(x), we can go ahead and do that.

f(g(x))=2(x-3)+4                  [distribute]

f(g(x))=2x-6+4                     [combine like terms]

f(g(x))=2x-2

Now, we know that f(g(x))=2x-2.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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Answer: A and D are correct because they both equal 42.

Step-by-step explanation: Both A and D when distributed equal 18 + 24.

B is incorrect because that equals 18 + 63

C is incorrect because that equals 72 + 12

The last one is incorrect because when simplified it is 76 of 30 and 76 of 30 equals 22.8, not 42.

Answer:

A only

Step-by-step explanation:

Not sure if your missing letter options. If D is asking all 3 to be right, then no, D is not correct. If there are 2 letters missing then the last equation also works.

I reread the question and option D seems like it is

6(3+4) * 2(16 + 22)

       2(9 + 12)

Which equals

(42 * 76) / 42 = 72

So not D

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The area of a trapezoid is

= \(\frac{1}{2}\) × (Sum of parallel sides) ×(Height)

Let a and b be the two parallel sides of the trapezoid and h be the height of the trapezoid.

From the graph the two parallel sides are of the length

a = 3

b = 6

And the height of the trapezoid is

h = 8

Therefore, the area of the trapezoid will be =  \(\frac{1}{2}\) × (3 + 6) ×(8)

= \(\frac{1}{2}\) × (9) ×(8)

= 9 × 4

= 36 sq. units

Hence, the area of the trapezoid is 36 sq. units.

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The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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