A submarine descends 175 ft underwater in 5 minutes. The rate of descent is constant. What is the rate of descent per minute?​

The value of the composite function [f(g(f(f(f(g(27))))))], when f(x) = log₃(x) and g(x) = 3ˣ is 1

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

Let f(x) = log base 3 of x and g(x) = 3^x.

Express the equations properly

So, we have the following representations

f(x) = log₃(x) and g(x) = 3ˣ

Calculating the composite function [f(g(f(f(f(g(27))))))], we have

[f(g(f(f(f(g(27))))))] = [f(g(f(f(f(3²⁷))))))]

Next, we have:

[f(g(f(f(f(g(27))))))] = [f(g(f(f(log₃(3²⁷))))))]

This gives

[f(g(f(f(f(g(27))))))] = [f(g(f(f(27))))))]

For f(27), we have

[f(g(f(f(f(g(27))))))] = [f(g(f(3)))))]

For f(3), we have

[f(g(f(f(f(g(27))))))] = [f(g(1))))]

Calculating g(1), we have

[f(g(f(f(f(g(27))))))] = f(3)

Lastly, we have

[f(g(f(f(f(g(27))))))] = log₃(3)

Evaluate

[f(g(f(f(f(g(27))))))] = 1

Hence, the solution is 1

Read more about composite function at

https://brainly.com/question/26044179

#SPJ1

Answer: He will have 8 1/3 nuts

Step-by-step explanation:

Amount of peanuts=4 2/3 cups

Amount of cashews=3 2/3 cups

Combing the nuts will give  Total amount of nuts ( peanuts and cashews)

=4 2/3  +3 2/3

=7  4/3

7 + 1 1/3

8 1/3 nuts

Step-by-step explanation:

this is a multiplication dot, right ?

so,

(f.g)(x)

or

(f×g)(x)

any arithmetic operation (like +, -, ×, ÷) between 2 functions is done by applying that operation to the functional expressions.

(f×g)(x) = (x² - 12x + 35)(x - 5) =

= x³ - 5x² - 12x² + 60x + 35x -175 =

= x³ - 17x² + 95x - 175

Step-by-step explanation:

(f.g)(x) = f(x) . g(x)

= (x² - 12x + 35)(x - 5)

=x(x²-12x+35) - 5(x²-12x+35)

= x³-12x²+35x-5x²+60x-175

(f.g)(x)=x³-17x²+95x-175

To find the third angle of a triangle if you know the measures of the other two angles, you can use the fact that the sum of the measures of the angles in any triangle is always 180 degrees.

For example, let's say you know that angle A measures x degrees and angle B measures y degrees. To find the measure of angle C (the third angle), you can use the following equation:

x + y + C = 180°

To solve for C, you can subtract x and y from both sides of the equation:

C = 180 - x - y

So, the measure of angle C is equal to 180 degrees minus the measure of angle A and angle B.

To know more on Angle sum property of a triangle

https://brainly.com/question/8492819

#SPJ4

Answer:

Calculate the number of whole years it takes for the population to decrease from 2180 to less than 1000

Step-by-step explanation:

Answer:

cannot see what is in drop-downs but here are my answers:

risen

428.643

strong positive

highly accurate

Step-by-step explanation:

Scientists are developing a computer model to predict the change in average global temperatures over the next 100 years. The model accounts for a wide variety of variables that could affect temperature during this time.

These variables include:

In summary, the variables are ranked in order of their likely impact on temperature predictions, with carbon dioxide emissions from the human activity being the most significant variable, followed by carbon dioxide emissions from activities in nature, global sea level, global rates of photosynthesis, and acidity of ocean water.

To learn more about the variable, visit:

brainly.com/question/29583350

#SPJ4

The graph of the linear equation 2x - 3y = -15 is a line that passes through the point (-5, 5), and has a slope of 2/3.

The linear equation

2x - 3y = -15

can be written in the form

y = mx + b,

where m is the slope and b is the y-intercept. To find the slope of this equation, we can rearrange the equation to be in the form y = mx + b, which gives us

y = (2/3)x - 5.

This means that the slope of the line is 2/3. To find the y-intercept, we can plug in 0 for x and solve for y. This gives us

y = -5.

Therefore, the graph of this equation is a line that passes through the point (-5, 5) and has a slope of 2/3.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

Answer:

The store pays $992.80 dollars

Step-by-step explanation:

First we multiply 14.60 by 40.

14.60 x 40 = 584

Next we find out what 14.60 times 1/2 is.

14.60 x 1/2 = 7.3

Then we multiply 56 by 7.3

56 x 7.3 = 408.8

Finally we add both prices.

584 + 408.8 = 992.80

So, the answer is $992.80

Hope this helps! :)

Step-by-step explanation:

There aren't any like terms in the situations to solve then

The amount of interest a single deposit earns for the period of one year is equal to your initial investment multiplied by this yield.

Compound interest may be computed using the formula FV = P*(1+R/N)(N*T), where FV is the loan or investment’s future value, P is the original principle amount, R is the yearly interest rate, N is the number of times interest is compounded each year, and T is the period in years.

The amount of interest earned on a single deposit over a year is equal to your initial investment multiplied by this return. As an example: After a year, $1,000 invested at a 5.00% annual effective return yields $50.00 in interest. $1,000.00 x 5.00% = $50.00.

To learn more about Investment and interest to refer:

https://brainly.com/question/14019511

#SPJ1

Answer:

20

Step-by-step explanation:

A-c and B-c are the same length and rounded would give you 20

Answer:

F.(8-√-11)(8+√-11)

8²-11²i²

8²-121×-1

64+121

=185

G.

(3+i)(2+i)

6+3i+2i+i²

6-1+5i

5+5i

H.

(4+6i)+(-7-7i)

5+6i-7-7i

-2-i

i.

i^24

(i^2)^12

=1

J.

(-3+10i)-(-5+4i)

-3+10i+5-4i

2+6i.

The simplified form of the expressions are 185, G. 5 + 5i, H. -2 - i, I. 1, j. 2 + 6i.

Usually, simplification involves proceeding with the pending operations in the expression.

Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

F. (8-√-11)(8+√-11)

[tex]8^2 - 11^2 i^2\\8^2 - 121 \times -1\\64+121\\=185[/tex]

G.

(3+i)(2+i)

[tex]6+3i+2i+i^2\\6-1+5i\\5+5i[/tex]

H.

[tex](4+6i)+(-7-7i)\\5+6i-7-7i\\-2-i[/tex]

i.

[tex]i^24(i^2)^12=1[/tex]

J.

[tex](-3+10i)-(-5+4i)\\-3+10i+5-4i\\2+6i.[/tex]

Learn more about expression;

https://brainly.com/question/14083225

#SPJ2

It is Justified that P and Q are different point.

The coordinate plane where a location of a point is represented in the form of X and Y coordinate pair, is termed as cartesian plane. In this plane two reference axes are used which are perpendicular to each other.

In the question, two-point P (3, 2) and Q (2, 3) are given. As per the cartesian coordinate system a location of a point is represented by a pair of numerical terms. The first numerical terms denote the X coordinate of the point, and the next terms refers the Y coordinate of that point.

Therefore, P and Q are two different points on the cartesian plane. The point p (3, 2) where 3 is the X coordinate and the distance from Y axis is 3 and 2 is the Y coordinate and distance from X axis is 2.

Similarly for the point Q (2, 3), 2 denotes the X coordinate of the point Q and 3 is the Y coordinate.

To learn more about coordinate system visit:

https://brainly.com/question/11657509

#SPJ4

??

¯\_(ツ)_/¯

4+3

7

the answer is 7.

Answer:

[tex] \huge \boxed{\displaystyle 7}[/tex]

Step-by-step explanation:

we would like to simplify the following expression:

[tex] \displaystyle (2 + 2) + (4 - 1)[/tex]

in order to do we can consider the order of PEMDAS which is the abbreviation of Parentheses, Exponent, Multiplication,or Division, Addition or substraction

since Parentheses come first we'll simplify parentheses:

[tex] \displaystyle 4 + 3[/tex]

simplify addition:

[tex] \displaystyle 7[/tex]

and we are done!

The solution to the equation is g = 4π² ( L / T² )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The formula to determine the time period of a simple pendulum is given by

T = 2π √ ( L / g )   be equation (1)

where L = length of string

g = acceleration due to gravity

On simplifying the equation , we get

Divide by 2π on both sides of the equation , we get

√ ( L / g ) = T / 2π

Squaring both sides of the equation , we get

( L / g ) = T² / ( 2π )²

( L / g ) = T² / 4π²

Now , taking reciprocals on both sides of the equation , we get

g / L = 4π² / T²

Multiply by L on both sides of the equation , we get

g = 4π² ( L ) / T²

On simplifying the equation , we get

g = 4π² ( L / T² )

Therefore , the value of A is 4π² ( L / T² )

Hence , the equation is g = 4π² ( L / T² )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The answer is 382.5! Also I rounded to the nearest tenth. I hope this helps, have a beautiful day!

Equation for the sentence's inequality are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

given

let X =  the number of bracelets

let Y =  the number of necklaces

The inequality equation = 7.62x + 15.67y >= 450

Equation for the sentence's inequality She needs to generate at least $450 in revenue because bracelets are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.

To know more about inequality visit :-

https://brainly.com/question/29914203

#SPJ1

Answer:

x = 28

Step-by-step explanation:

Answer:

no of face 8

no of vertices 16

no of edges 24

Answer:

Its 125.6

Step-by-step explanation:

20 times Pi is 62.8 and then you multiply this by 2.

Answer:

Answer is 69.08 m

Step-by-step explanation:

use formula 2 pie r

radius=diameter/2

=22/2

=11

therefore radius is 11

put the value of radius in the formula 2 pie r

pie=3.14

Answer: To find the area of the pre-image and the image, you can use the coordinates of the vertices of the shapes to calculate the lengths of the sides and use the formula for the area of a triangle:

Area = (base * height)/2

For the pre-image, the coordinates are X(3,18) Y(18,18) and Z(18,9). The base of the triangle is the distance between X and Z, which is 18 - 3 = 15. The height of the triangle is the distance between Y and Z, which is 18 - 9 = 9. The area of the pre-image is therefore:

Area = (15 * 9)/2 = 67.5

For the image, the coordinates are X’(1,6) Y’(6,6) Z’ (6,3). The base of the triangle is the distance between X’ and Z’, which is 6 - 1 = 5. The height of the triangle is the distance between Y’ and Z’, which is 6 - 3 = 3. The area of the image is therefore:

Area = (5 * 3)/2 = 7.5

The relationship between the two areas is that the area of the image is smaller than the area of the pre-image. This is because the image has been scaled down in size relative to the pre-image. The amount by which the image has been scaled down can be calculated by dividing the area of the image by the area of the pre-image:

Scale factor = area of image / area of pre-image = 7.5 / 67.5 = 0.11

This means that the image has been scaled down by a factor of 0.11 relative to the pre-image.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know the areas and their relationship of the preimage with coordinates X(3,18), Y(18,18), and Z(18,9), and the image with coordinates X’(1,6), Y’(6,6), Z’ (6,3).

When you plot the points on a graph, you see they define right triangles. Each has sides aligned with the x- and y-axes, so it is easy to find their dimensions by counting grid squares or subtracting coordinates.

The preimage triangle is 18-3 = 15 units in the x-direction, and 18-9 = 9 units in the y-direction.

The image triangle is 6-1 = 5 units in the x-direction, and 6-3 = 3 units in the y-direction.

We notice that both the coordinates and the dimensions of the image triangle are 1/3 those of the preimage triangle.

The area of each triangle is given by the formula ...

  A = 1/2bh

Using the dimensions we found above, the areas are ...

  preimage area: 1/2(15)(9) = 135/2 = 67.5 . . . . square units

  image area: 1/2(5)(3) = 15/2 = 7.5 . . . . square units

We have observed that the image dimensions are 1/3 those of the preimage. The image area is 7.5/67.5 = 1/9 of that of the preimage. This value is the square of the scale factor of the dimensions,

Answer:

  the median will go up 2.5 points from 76 to 78.5

Step-by-step explanation:

You want to know the effect on the median of adding 85 to the list of scores: 76, 96, 81, 69, 41.

The median is the middle value when the list is sorted into order. The ordered list is ...

  41, 69, 76, 81, 96

The median is 76.

When 85 is added to the list, the sorted list becomes ...

  41, 69, 76, 81, 85, 96

There are two middle scores, so the median is their average:

  (76+81)/2 = 78.5

The median increases 2.5 points from 76 to 78.5 when the score is added.

Answer:

a= 1

b= 3

c= 1

d= 2

e= 6

f= 8

Step-by-step explanation:

_________

It typically means that the person is being friendly and is in a good mood.The expression =] is often used as an emoticon to express friendliness, positivity, and happiness. It can be used as a stand-alone expression or as part of a longer sentence.

The expression =] is commonly used in text conversations as an emoticon to express friendliness, positivity, and happiness. It is typically used when a person wants to convey a feeling of warmth and good cheer. The expression can be used as a stand-alone expression or as part of a longer sentence. When used alone, it has a meaning similar to a smiley face and can be used to respond to a message in a positive way. When used as part of a longer sentence, it can be used to express a feeling of contentment. As an emoticon, it has no specific meaning, but it can be used to show that the person is in a positive and good mood. Using this expression can be a way to show that you are happy and in a friendly mood.

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.

Food items manufactured from (or containing) milk are referred to as dairy products or milk products (also known as lacticinia).

The cow, water buffalo, nanny goat, and ewe are the most popular dairy animals.

Dairy products include staples from Western grocery stores including yogurt, cheese, and butter.

A dairy is a place where dairy products are made .Various amounts of dairy products are consumed worldwide (see consumption patterns worldwide) .

After standardizing the fat content and optional homogenization or pasteurization, milk is produced in a variety of grades with the potential addition of the microorganisms Streptococcus lactis and Leuconostoc citrovorum.

Based on the type of product generated, milk can be divided into a number of distinct categories, including cream, butter, cheese, newborn formula, and yogurt.

Hence, Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.

learn more about dairy products click here:

https://brainly.com/question/412166

#SPJ4