Find f(4), where f(x)=3^x If f(x) = 81, what is x? Please answer asap!

The measure of HD in the given figure using the side-splitter theorem is 5.5.

We have,

The Side-Splitter Theorem is a geometric theorem that relates the side lengths of two triangles formed when a pair of parallel lines intersects two transversals.

Now,

Applying the side splitter theorem in the given figure,

EG/GD = FH/HD ______(1)

Given,

EG = 4

GD = 11

FH = 2

Substituting in (1).

4/11 = 2/HD

Cross-multiply.

HD = 2/4 x 11

HD = 11/2

HD = 5.5

Thus,

The measure of HD in the given figure using the side-splitter theorem is 5.5.

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The complete question:

complete the work to find the length of HD.

Use the side-splitter theorem to set up a proportion.

EG/GD = FH/HD

Substitute in the known side lengths.

4/11 = 2/HD

Cross multiply and solve for HD.

HD =

y=6x-8 is the equation of the line passing through the points ​(​3,10​) and ​(​-2,​-20).

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us find the slope of line passing through points  ​(​3,10​) and ​(​-2,​-20).

Slope = -20-10/-2-3

=-30/-5

=6

Now let us find the y intercept

10=6(3)+b

10=18+b

b=-8

Equation is y=6x-8

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The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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A 3x3 matrix, the rank can be 0, 1, 2, or 3, depending on the values of the entries in the matrix.

The rank of a matrix is the number of linearly independent rows or columns in the matrix.  The rank of a 3x3 matrix can be found by performing row reduction to obtain an echelon form, and then counting the number of non-zero rows.

For example, let's consider the following 3x3 matrix:

a11 a12 a13

a21 a22 a23

a31 a32 a33

Performing row reduction, we can obtain an echelon form:

a11 a12 a13

0   a22' a23'

0   0    a33'

Here, a22' and a33' represent the pivots of the matrix, and the number of non-zero rows in the echelon form is equal to the rank of the matrix.

Therefore, for a 3x3 matrix, the rank can be 0, 1, 2, or 3, depending on the values of the entries in the matrix.

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Answer:

14

Step-by-step explanation:

7*3=21

2/3 of 21 is 14 so she saved 14 dollars

Answer: Rs. 6075

40500×(15/100)= 6075

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

12+12=24

24+3=27

27+50=77

77+25=102

Answer:

102, you can use a calculator

Answer:

$28

Step-by-step explanation:

Answer:

$28

Step-by-step explanation:

$17.50/5 equals the cost of one mystery bag i.e $3.5

therefore,8 mystery bags cost 8×3.5

$28

For the function defined as a definite integral, F(x) = x∫0 t cot(t) dt,

a) F'(x) = -ln(x) - (1/2)x²ln(x) + C

b) d/dx [\(x^5\)∫x³ t cot(t) dt] = 3\(x^4\)cot(x³) - 5x³∫cot(x³)dx + ∫x³cot(x³)dx.

(a) To find F'(x), we need to differentiate F(x) with respect to x using the Fundamental Theorem of Calculus. We have:

F(x) = x∫0 t cot(t) dt

F'(x) = d/dx [x∫0 t cot(t) dt]

= ∫0 t cot(t) dt + x(d/dx ∫0 t cot(t) dt) (using the product rule)

= ∫0 t cot(t) dt + x[cot(t)(d/dx t)]∣0

= ∫0 t cot(t) dt + x[cot(t)]∣0

= ∫0 t cot(t) dt + x cos(0)/sin(0)

= ∫0 t cot(t) dt + x

Therefore, F'(x) = ∫0 t cot(t) dt + x.

(b) Let G(x) = \(x^5\)∫x³ t cot(t) dt. Using the product rule and the Fundamental Theorem of Calculus, we have:

G'(x) = d/dx [\(x^5\)∫x³ t cot(t) dt]

= ∫x³ t cot(t) dt + \(x^5\)(d/dx ∫x³ t cot(t) dt)

= ∫x³ t cot(t) dt + \(x^5\)[t cot(t)]∣x³

= ∫x³ t cot(t) dt + \(x^8\) cot(x³)

Therefore, d/dx [\(x^5\)∫x³ t cot(t) dt] = ∫x³ t cot(t) dt + \(x^8\) cot(x³).

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volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

Answer:

17ft

Step-by-step explanation:

What you're going to do is solve this backwards so to find volume the eqation is v=(pir^2)h, so what you're going to do is:

833pi=(pi7^2)h                 you cross out pi and square 7                           833=49*h                         then you divide 49 from both sides and get 17

The midpoint of the given line GO is 0.

We need to find the coordinate of the midpoint GO.

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Now, the midpoint of line GO is (-4+4)/2

=0/2

=0

So, the coordinate of the midpoint GO is (0, 0)

Therefore, the midpoint of the given line GO is 0.

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Answer:

Answer is C

Step-by-step explanation:

Answer:

C or C. 2(x + 5) = 40

Step-by-step explanation:

Answer:

$ 3,062.61

Step-by-step explanation:

Account Balance= 2,500(1+ .07/1)^3

The product of 243*76 by rounding both numbers to one significant figure is 19,200 and the exact value of 243*76 is 18468.

According to the question,

We have the following expression:

243*76

a) Now, we will round both the numbers to one significant figure.

We know that we look at the right next digit to the underlined digit. In this case, the underlined digits will be 4 and 7.

19200

240*80

b) Now, the product of this expression is 18468.

Now, there is a difference in the products of these two numbers in part a and part b. The answer in part a is greater than the answer in part b.

Hence, the product of 243*76 by rounding both numbers to one significant figure is 19,200 and the exact value of 243*76 is 18468.

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A probability of 0.48 means that there is a 48% chance that a player will be dealt a particular hand in the card game.

If you play the card game 100 times, it may not be possible that you will be dealt this particular hand exactly 48 times because theoretical probability differs from experimental probability.

The concept of probability deals with the likelihood of an event occurring, but it does not guarantee the occurrence of that event in every individual trial.

While the expected value is that you will be dealt this hand around 48 times out of 100 games, the actual results can differ due to the random nature of the card shuffling process. You could be dealt the hand more or fewer times in any given set of 100 games.

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Complete question:

In a certain card​ game, the probability that a player is dealt a particular hand is 0.48. Explain what this probability means. If you play this card game 100​ times, will you be dealt this hand exactly 48 ​times? Why or why​ not?

In a certain card game, the probability of being dealt a particular hand represents the likelihood of receiving that specific hand out of all possible combinations.

The probability of being dealt a particular hand in a card game indicates the chance of receiving that specific hand out of all possible combinations. It is a measure of how likely it is for the player to get that specific combination of cards. The probability is typically expressed as a fraction, decimal, or percentage.

However, when playing the card game 100 times, it is highly unlikely that the player will be dealt the same hand exactly the same number of times. This is because the card shuffling and dealing process in the game is usually random. Each time the cards are shuffled, the order and distribution of the cards change, leading to different hands being dealt. The probability remains the same for each individual game, but the actual outcomes may vary.

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Answer:

B. (-1, 0)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

To find the solution set of a systems of equations, the point where the 2 lines intersect would show the solution for the systems.

According to the graph given, both lines intersect each other at x = -1.

Therefore, our answer is B.

Answer:

20x15=300

When you need to calculate the Length and Width of a piece of land or anything else, all you need to do is multiply the two numbers.

Step-by-step explanation:

When you have 20 units of land in as the length and 15 units of land as width, then you should multiply.

2x4=?

When you do 2x4, you have to do 2+2+2+2=

but, here, you have a piece of land to calculate, so basically, you have to multiply still. In that way, you will be able to get what 20 and 15's product is.

I'm sorry, sometimes I just can't explain that well, but just remember, in these types of problems, just multiply, that is your answer.

Thank You! I hope I made your day just a little better!

Have a great time studying!

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:5.67* 10^7

Step-by-step explanation:

Answer:

speed

Step-by-step explanation:

speed is the right answer hope its right

this is the answer gimme brainliest

if f has an absolute maximum value at c, then function f '(c) = 0 is True

This statement is true. This is because the first derivative of a function, f', is equal to 0 at the point of an absolute maximum. This is because the first derivative measures the rate of change of a function, and at a maximum, the rate of change of a function is 0. Therefore, if a function has an absolute maximum value at c, then f'(c) = 0.

The statement that if f has an absolute maximum value at c, then f '(c) = 0 is true. This is because the first derivative of a function measures the rate of change of a function. At an absolute maximum, the rate of change of a function is 0, so the first derivative of a function at that point must be 0. Therefore, if a function has an absolute maximum value at c, then f'(c) = 0.

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Answer:

C

Step-by-step explanation:

Answer:

\(\Large \boxed{\mathrm{When \ a \ number \ is \ not \ known}}\)

Step-by-step explanation:

For example, a sum of a number and 6 is 12.

The number is unknown.

Let the number be x.

We can solve for x (unknown number). Subtract 6 from both sides of the equation.

Answer: 5

Step-by-step explanation:

If the length is equal to x, the width is 3(x+2). To make it easier, we simplify 3(x+2) to 3x+6.

Perimeter is 2(l+w).

Substitute 2(l+w) with our values of length and width. You get:

2(x+(3x+6))=52

Then you solve the equation:

2(x+(3x+6))=52

2(4x+6)=52

8x+12=52

8x=40

x=5

The length is 5.

Answer:

(3x-2)(2x-3)

Step-by-step explanation:

Good luck!

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

25>x-5 = x anything less than 30

Step-by-step explanation:

first add 5 to both sides

then u get 30.

30-5 is 25

so, you know that x must be any number less than 30 that is not 0

Answer:

x < 30

Step-by-step explanation:

\(25>x-5\\\\25+5>x-5+5\\\\{30>x}\\\\\boxed{x<30}\)

Hope this helps.