Evaluate the function at the indicated values. f(x)= 6x^2+ 5x -12

The average rate of change of g(x) = 2^x - 1 between x = 3 and x = 7 is: 30.

To find the average rate of change of a function, use the formula below:

Average rate of change = g(b) - g(a) / b - a.

Given the following:

Therefore:

a = 3

g(a) = \(2^3 - 1\) = 8 - 1

g(a) = 7

b = 7

g(b) = \(2^7 - 1\) = 128 - 1

g(b) = 127

Substitute the values into the formula:

Average rate of change = (127 - 7) / 7 - 3

= 120/4

Average rate of change = 30

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Answer: the answer is 30, i took the test.

Answer:

x>_-1

Step-by-step explanation:

x is such that x is greater or equal to -1

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Step-by-step explanation:

\( \frac{8}{3 - 4x} = \frac{5}{2x + .25} \\ 8(2x + .25) = 5(3 - 4x) \\ 16x + 2 = 15 - 20x \\ 16x + 20x = 15 - 2 \\ 36x = 13 \\ x = \frac{13}{36} \)

Answer:

mememememwmwnwmwnwnwjkwjw

The probability that the randomly chosen athlete is either a football player or a basketball player is: 0.9 or 90%.

To find the probability that the randomly chosen athlete is either a football player or a basketball player, we need to add the probabilities of these two events and subtract the probability of the intersection of these events.

Let F be the event that the athlete is a football player and B be the event that the athlete is a basketball player. Then, we have:

P(F) = 0.5 (50% are football players)

P(B) = 0.44 (44% are basketball players)

P(F ∩ B) = 0.04 (4% play both football and basketball)

To find the probability that the athlete is either a football player or a basketball player, we can use the formula:

P(F ∪ B) = P(F) + P(B) - P(F ∩ B)

So Plugging in the values, we get:

P (F ∪ B) = 0.5 + 0.44 - 0.04

= 0.9

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According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.

C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%

Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.

The probability that exactly 4 seeds out of 9 planted won't grow is 1.57%.

Let X be the number of seeds that don't grow.

X follows a binomial distribution with parameters n=9 and p=0.15 (the probability that a seed doesn't grow).

So, probability of exactly 4 seeds not growing is:

P(X=4) = \(9C4 * (0.15)^4 * (1-0.15)^5\)

P(X=4) = 70 * 0.00050625 * 0.4437053125

P(X=4) = 0.01572380701

P(X=4) = 1.57%

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Answer:

25

Step-by-step explanation:

5 times 5

Answer:

Step-by-step explanation:

turn the fraction in to desomel and the add 3.38888888889

The equation x / y = 4 is an example of direct variation formula. (Correct choice: A)

Herein we find four types of equations, of which we must determine what choice represents a direct variation formula, whose definition is shown below:

y ∝ x

y = k · x

Where k is the constant of proportionality.

This form is equivalent to the following expressions:

y / x = k, x / y = 1 / k

Then, by direct inspection, we see that equation x / y = 4 represents a direct variation formula.

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a) The Reynolds number for a sphere moving in air is 83,333.33.

b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

c) The Reynolds number for a sphere moving in water is 150,000.

a) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.

Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)

Re = 83333.33

b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.

c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².

Re = (1000 * 15 * 0.1) / (0.001)

Re = 150000

Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

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Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

a)x=12

b)64 degress

Step-by-step explanation: 1.Due to the law of opposite adjacent angles (or whatever its called) you can set both equations equal to each other- 4x+16=7x-20 2. Use algebra and get 3x=36 3. Divide both sides by 3 to get x=12 (first answer) 4. Now plug 12 in for x in either equations. I chose the bottom to get 4(12)+16 which is equal to 64 (second answer).

Answer:

4

Step-by-step explanation:

3.6 x 10=14.4 x 10 (Mutiply by both sides by 10)

(refine) 36m=144

then divide so 36m divided by36=144 divied by 36 which gives you 4 so

M=4 ;-; Litteraly

It's says your in college on your brainly prfile so how don't you know this-

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

Newton's first law of motion states that; An object continues to be in its state of rest or uniform motion unless acted upon by an external force in which case, it acts otherwise.

An example of this law is an orange placed on a table.

In essence, the orange continues in its state of rest unless acted upon by a force of push or otherwise by an individual or perhaps wind as the case may be.

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Answer:

decrease 40%

Step-by-step explanation:

20/50 * 100 = 40

Step-by-step explanation:

x= 14 and x = -4 these are the answers

Answer:

Triangle A: Acute

Triangle B: Obtuse

Triangle C: Acute

Triangle D: Right

Step-by-step explanation:

Acute angle: 0°-90°

Right angle: 90°

Obtuse angle: 90°-180°

An acute triangle only has acute angles. A right triangle has one right angle and two acute angles. An obtuse triangle has one obtuse angle and two acute angles.

Answer: 3,348 cubic inches

Step-by-step explanation:

1. Since we know that volume= length x width x height, then we can plug our values into this equation.

2. So, we would do volume= 9 x 12 x 21.

3. 9 x 12 = 108, and 108 x 21 =2,268.

4. Now that we have both of the volumes, we have to add them together.

5. 1,080 + 2,268 = 3,348

6. The combined volume is 3,348 cubic inches.

The domain of the function or relation on the graph is { -2, -1, 0, 2 and 5}

The domain of the function is the set of input values of the graph

The function is represented by the set of relation or ordered pairs on the graph

The graph is given as an attachment

The ordered pairs in the relation on the graph are:

(x, y)  = (-2, -3), (-1, -1), (0, 3), (2, 1) and (5, 2)

Remove the y values in the above domain

x = -2, -1, 0, 2 and 5

The x values represent the domain of the function

And the domain of the function is the set of input values of the graph

Hence, the domain of the function or relation on the graph is { -2, -1, 0, 2 and 5}

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Answer:

Hi there!

Your answer is:

W=17.5feet

Step-by-step explanation:

We use the surface area form for a cuboid:

2h(l+w)=SA

Fill in the known values!

2(2)* (5+ W) = 90

Solve for W!

4*(5+W)=90

20+4w=90

-20

4w=70

/4

W=17.5feet

Answer:

C = 14 x Pi

C = 14 x 3.14

C = 43.96 in

Answer:

Step-by-step explanation:

The answer to (A) is N/A and the answer to (B) is N/A again (Hope this helps!)