Convert f(x)= 2/3(x+3)^2 to standard from

Answer:

45

Step-by-step explanation:

each month it is increasing by 4 so you add 8 to 37 to get your answer

i hope this helped! have a good day love

is it factorization ...

The correct option is  D. 136.1 cubic inches.

Given, Radius of cone is 5.1 inches.

Height of cone is 5 inches.

We know that, volume of cone,

\(V=\frac{1}{3} \pi r^{2} h\)

Here r is the radius of cone and h is its height.

on putting the value of r and h, we get

\(V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5\)

\(V=\frac{1}{3} \times3.14\times26.01\times5\)

Or, \(V=136.119 \ cubic \ inches\).

The volume of cone to the nearest tenth is 136.1 cubic inches.

Hence the correct option is  D. 136.1 cubic inches.

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Answer:

1. True

2. I don't know this one sorry :(

Step-by-step explanation:

Have a good day :)

To find the value of f(4), we simply substitute x = 4 into the given exponential function.

f(x) = 3 * 5^x

f(4) = 3 * 5^4

f(4) = 3 * 625

f(4) = 1875

Therefore, the value of f(4) for the given exponential function is 1875. This means that when x = 4, the function f(x) has a value of 1875.

In general, exponential functions have a base raised to a power, where the base is a constant and the exponent is a variable. The value of the function depends on the value of the exponent, and the function grows or decays exponentially as the exponent increases or decreases. In this case, the base is 5 and the coefficient is 3, meaning that the function grows rapidly as x increases.

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Answer:

(5,6), (3, 6) and (3, 5).

Step-by-step explanation:

If we imagine the line y = x to be a mirror , the image of each point is the same perpendicular distance to the mirror has the original point.

So the image of (6,5) = (5,6)

(6, 3) ---> ( 3, 6)

(5,3) ---> (3, 5).

Note that the coordinates are reversed in each case.

In this case the general rule for the reflection is  (x, y)  ---> (y, x).

Answer: x=11

Step-by-step explanation:

I got this by 126-49=77. Then I divided 77 by 7 and got 11.

Answer: m=-9/10; d=13.45

Step-by-step explanation:

To find the slope, you would use the formula \(m=\frac{y_2-y_1}{x_2-x_1}\). We plug in the given points and solve.

\(m=\frac{9-0}{0-10} =\frac{9}{-10} =-\frac{9}{10}\)

Now, we know that slope is -9/10.

To find the distance between the points, we use the distance formula.

Distance formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(d=\sqrt{(0-10)^2+(9-0)^2}\)             [parenthesis]

\(d=\sqrt{(-10)^2+(9)^2}\)                       [exponent]

\(d=\sqrt{100+81}\)                               [add]

\(d=\sqrt{181}\)

\(d=13.45\)

Now, we know the distance is approximately 13.45.

The area of the field is 10,765.44 square meters.

Given that:

Diameter, d = 72 m

Width, W = 72 m

Length, L = 93 m

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The area of the field is calculated as,

A = (π/4)d² + W·L

A = (3.14 / 4) x 72² + 72 x 93

A = 4,069.44 + 6,696

A = 10,765.44 square meters

The area of the field is 10,765.44 square meters.

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Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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The number of ways to draw five numbers from a group of twelve numbers without considering the order is 792. This can be calculated using the combination formula nCk = n!/((n-k)!k!).

The number of ways to draw five numbers from a group of twelve numbers without considering the order is given by the combination formula.

The formula is nCk = n!/((n-k)!k!), where n is the total number of items in the group and k is the number of items to be chosen. Applying this formula to the given problem, we get 12C5 = 792.

To understand this formula intuitively, imagine picking a team of five players from a group of twelve players. The number of possible teams is the number of combinations of five players that can be formed from the group of twelve players.

For the first player, we have twelve choices. For the second player, we have eleven choices (since one player has already been chosen). Continuing this process, we have 12111098 ways to choose a team of five players if order matters.

However, since the order does not matter, we need to divide this number by the number of ways the five players can be arranged, which is 54321. Therefore, the number of possible teams is (12111098)/(54321) = 792.

In summary, the number of ways to draw five numbers from a group of twelve numbers without considering the order is 792. This can be calculated using the combination formula nCk = n!/((n-k)!k!), where n is the total number of items in the group and k is the number of items to be chosen.

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the Domain of function divided by g of x  (-∞, -2) to (-2 , ∞)

A function is described as a relation among a fixed of inputs having one output every. In easy words, a feature is dating among inputs in which every entry is associated with precisely one output.

Given, The function f(x) = 20x + 80 represents the distance in miles a drone flew.

The function g(x) = x + 2 represents the time the drone flew in hours

Part A:

f(x) = 20x + 80

F(2) = 20*2 + 80

F(2) = 120

g(x) = x + 2

g(2) = 2 + 2

g(2) = 4

Part B: f(x) divided by g(2)

=> f(x) / g(2)

=> (20x + 80 ) /4

=> 5x + 20 (since, g(2) is 4)

Part C:  the domain of f divided by g of x

So,

f(x) / g(x ) = (20x + 80)/(x +2)

=>  (20x + 80)/(x +2)

Since Denominator can not be zero.

Therefore, the Domain of f divided by g of x  (-∞, -2) to (-2 , ∞).

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The maximum containers Dodi will use will be  3

She plans to store the slime in containers that each hold a maximum of 6 fluid ounces how many containers will she need

number of containers is 3

The time period "equal" in math refers to two meanings, numbers, or quantities which can be the same. The equivalence of two such portions shall be denoted by a bar over an equivalent symbol or equivalent sign. It also means a logical equivalence among  values or a fixed of quantities.

what is a equivalent instance?

The definition of equal is something that is essentially the same or identical to some thing else. An instance of equivalent is (2+2) and the wide variety four. due to the fact that 2+2= 4, these  matters are equal.

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Answer:

c = d/a - b

Hope that helps

Step-by-step explanation:

Answer:

24.7

Step-by-step explanation:

c² = a² + b²

c² = 9.0² + 23.0²

c² = 81 + 529

c² = 610

c = 24.7

The equation of the line is \(\(y = -4x - 1\)\).

To find the equation of a line passing through two points, we can use the point-slope form of a linear equation:

\(\[y - y_1 = m(x - x_1),\]\)

where \(\((x_1, y_1)\)\) are the coordinates of one point on the line, and \(\(m\)\) is the slope of the line.

Given the points \(\((-1,3)\)\), \(\((1,-5)\)\), we can calculate the slope:

\(\[m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{(-5) - 3}}{{1 - (-1)}} = \frac{{-8}}{{2}} = -4.\]\)

Using the point-slope form with one of the points, let's use \(\((-1,3)\)\):

\(\[y - 3 = -4(x - (-1)),\]\)

Simplifying:

\(\[y - 3 = -4(x + 1),\]\)

\(\[y = -4x - 1\]\)

Therefore, the equation of the line passing through the points \(\((-1,3)\)\) and \(\((1,-5)\)\) is \(\(y = -4x - 1\)\).

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Answer:

i don't have ideas

By using the binominal model, the people in the sample are pessimistic about the future of marriage and family is 0.039.

A Binomial model is a mathematical model used to calculate the probability of a specific number of successful outcomes in a set number of trials

The normal model is used to compute the probability of a certain outcome occurring when the population size is much larger.

With a sample of 700 American adults, the probability of 25% or fewer of the people in the sample being pessimistic about the future of marriage and the family would be 0.039.

These answers demonstrate the importance of verifying that np and nq  are both at least 10.

If either one is below 10, the binomial model would not be an accurate representation of the probability.

On the other hand, the normal model does not have this limitation and can be used to calculate the probability even when np or nq is below 10.

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Answer:

There are 0.186411 miles in 0.3 km.

Answer:7:2 or 7 to 2

Step-by-step explanation:

Answer:

7 : 2 7/2 we can use two

Step-by-step explanation:

7 : 2 can't simplified

The calculated value of the total interest is 12479.04

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

25998 x .08 x 6

In the above equation, we have

Principal = 25998

Rate of interest = 0.08

Time = 6

using the above as a guide, we have the following:

Total interest = 25998 x .08 x 6

Evaluate

Total interest = 12479.04

Hence, the total interest is 12479.04

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Answer:

feed me brainly points

Step-by-step explanation:

brainliest?

Answer:

is this even a question?

Answer:  2 pots

Step-by-step explanation:

area of the floor = length     x   width

                           = 400 cm   x   250 cm

                           = 100 000 cm²

5 m²  = 5  x  10 000 cm² =  50 000 cm²

number of pots needed = area of floor   ÷  area covered by one pot

                                        = 100 000 cm²  ÷  50 000 cm²

                                        =  2 pots

Answer:

So, the probability of selecting a number from 1 to 100 that is divisible by 5 or 7 is 0.32.

Hope this helped!

Consequently, the yield to maturity of a P7000 bond purchased at 90 with 15 years left to maturity is approximately 6.769%.

The rate of return an investor will receive if they hold the bond until maturity is known as the yield to maturity (YTM) of the bond. We need to know a bond's face value, coupon rate, market price, and time until maturity in order to determine its YTM.

Here,

Given :

Face value (FV) equals P7,000

Discount rate is 6%.

Market price as of today (CP) is $90.

15 years is the time to maturity (T).

To determine the YTM, we can use the bond pricing formula:

CP is equal to (FV * C) / (1 + r)T plus (FV / (1 + r)T)

Where:

(FV * Coupon Rate) / 2r = YTMT = time to maturity in years, where C is the annual coupon payment.

The result of solving the equation is 6.769% for the YTM.

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The step in which Trent made his first mistake include the following: A: Setting up.

In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical equation:

g/3 = 4/3

By cross-multiplying, we have the following:

g × 3 = 4 × 3

3g =12

g = 12/3

g = 4.

In conclusion, Trent didn't correctly solve the equation because he made his first mistake when setting up.

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Answer:

3

Step-by-step explanation:

(0,3)