find the expression for f(x)f(x)f, left parenthesis, x, right parenthesis that makes the following equation true for all values of xxx.(81^x/9^(5x-8) = 9^f(x)

Answer:

what is the equation by the way

Answer:

Your answer is correct

Step-by-step explanation:

(2^5/4)² = 4^5/2 = √4^5

The correct answer is option B which is \(\sqrt{2^5}\).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression will be solved as follows:-

\(E = ([ 2^{\frac{1}{2}} \times 2^{\frac{3}{4}}])^2\\E = (2^{({\frac{1}{2}+\frac{3}{3}})})^2\\E = (( 2 )^ {\frac{5}{4})}^2 \\E = ( 2 ) ^{\frac{5}{2}}\\E = \sqrt{2^5}\)

Therefore the correct answer is option B which is \(\sqrt{2^5}\).

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The missing side (the adjacent side) is approximately 13.257 units long.

To find the missing side, we can use the cosine function which relates the cosine of an angle to the adjacent side and the hypotenuse of a right triangle.

cos(28°) = adjacent side / hypotenuse

We are given the measure of the angle and the length of one side, so we can plug in those values and solve for the missing side.

cos(28°) = adjacent side / 15

adjacent side = 15 cos(28°)

Using a calculator to evaluate cos(28°) to four decimal places:

cos(28°) ≈ 0.8838

Substituting into the equation:

adjacent side ≈ 15 × 0.8838

adjacent side ≈ 13.257

Therefore, the missing side (the adjacent side) is approximately 13.257 units long.

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The given question is incomplete, please provide the complete question so that I can help you with it. If the decision rule for a hypothesis test is to reject the null hypothesis if the p-value is less than or equal to a level of significance α.

The decision rule can be written Reject H0 if p-value ≤ αOtherwise, do not reject H0.In this decision rule, the level of significance is the maximum probability of rejecting the null hypothesis when it is true. It is usually set at 0.05 or 0.01.

The p-value is the probability of obtaining a sample statistic as extreme as the one observed or more extreme, given that the null hypothesis is true. If the p-value is small, it indicates strong evidence against the null hypothesis, and we reject the null hypothesis. If the p-value is large, it indicates weak evidence against the null hypothesis, and we fail to reject the null hypothesis.

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Antibody identification interpretations would be considered correct 95% of the time or have a p-value of 0.05 (5% probability that the result is due to chance) if certain steps are followed in the analysis.

To achieve a correct interpretation rate of 95% or a p-value of 0.05 in antibody identification, the following steps are typically followed:

Sample Collection: Obtain a sample from the individual being tested, typically blood serum or plasma.

Testing Method: Use a reliable and validated testing method for antibody identification, such as enzyme-linked immunosorbent assay (ELISA) or immunoblotting.

Control Samples: Include appropriate control samples in the testing process to ensure accuracy and reliability.

Statistical Analysis: Conduct statistical analysis to evaluate the results and calculate the p-value. The p-value represents the probability that the observed result is due to chance.

Interpretation: Based on the statistical analysis and comparison with control samples, interpret the results of the antibody identification test.

By following these steps and ensuring the use of validated methods and appropriate statistical analysis, antibody identification interpretations can achieve a correct rate of 95% or have a p-value of 0.05, indicating a low probability of chance findings.

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Therefore, the total area of the region that satisfies the two inequalities is 14.5 square units.

The two inequalities given are:

y >= x

y <= |x - 3|

The region that satisfies both inequalities is the shaded area in the graph.

We can find the area of this region by splitting it into two parts: the triangle formed by the points (0, 0), (3, 0), and (3, 3), and the trapezoid formed by the points (3, 3), (2, 1), (-1, 3), and (-3, 3).

The area of the triangle is (1/2)33 = 4.5 square units.

To find the area of the trapezoid, we need to find the lengths of its two bases and its height. The height is the distance between the x-axis and the line y = |x - 3|. This line intersects the x-axis at x = 3 and at x = -1. At x = 3, the height is 0. At x = -1, the height is |-1 - 3| = 4. So the height of the trapezoid is 4 units.

The lengths of the two bases of the trapezoid are the distances between the y-axis and the lines x = 2 and x = -3. These distances are 2 and 3 units, respectively. So the area of the trapezoid is (1/2)*(2 + 3)*4 = 10 square units.

Therefore, the total area of the region that satisfies the two inequalities is 4.5 + 10 = 14.5 square units.

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Complete question:

How many square units are in the region satisfying the inequalities y>=(x) and y<=-(x)+3? Express your answer as a decimal. * the () are absolute value signs.

The Total Daily Energy Expenditure of a man aged 19-50 years is approximately 2900 calories a day

What is Total Daily Energy Expenditure?

Total Daily Energy Expenditure is the amount of calories burnt in a 24 hours period

Here,

The average man aged 19-50 years burns out approximately 2900 calories in a 24 hours period.

So, the average man aged 19-50 years has a daily energy expenditure rate of approximately 2900 calories a day.

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5a. A function to show p, the number of parrots t years after 2010 is \(P(t) = 515(1.54)^t\\\\\).

5b. The number of parrots that is expected to be there in 2016 is 6,870 parrots.

In Mathematics and Statistics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

\(P(t) = I(1 + r)^t\\\\\)

Where:

Part a.

By substituting the given parameters into the formula, an exponential function to show p, the number of parrots t years after 2010 is given by;

\(P(t) = I(1 + r)^t\\\\\)

4418= 515(1 + r)⁵

(1 + r)⁵ = 4418/515

(1 + r)⁵ = 8.5786407766990

1 + r = 1.54

Therefore, the required exponential function to show p is given by;

\(P(t) = 515(1.54)^t\\\\\)

Part b.

When t = 6 years, the number of parrots can be calculated as follows;

\(P(6) = 515(1.54)^6\)

P(6) = 6,869.60 ≈ 6,870 parrots.

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Answer:

388

Step-by-step explanation:

4+6x64

multiply 6 and 64

6 times 64 = 384

Add 4 to 384

384+4=388

Answer:

Easy

problem: 4+6x64

and next: multiply 6 and 64 = = 384

Add 4 to the answer 384 + 4  = 388

384+4=388

Step-by-step explanation:

Hopes this helps and brainlest please!

This is an example of a sample survey or a sampling method.

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

In the given scenario, you are conducting a sample survey to determine the proportion of each color of Peanut Butter M&Ms. A sample survey is a method used to collect data from a subset of a larger population in order to make inferences about the entire population.

Instead of counting every single Peanut Butter M&M in existence, which would be impractical and time-consuming, you decide to take a smaller representative sample. You purchase 10 packages of Peanut Butter M&Ms, each weighing 1.69 ounces, and count the number of M&Ms of each color in those packages.

By analyzing the data collected from this sample, you can estimate the proportion of each color of Peanut Butter M&Ms in the larger population. This approach is more feasible and provides a reasonable approximation of the overall distribution of colors without having to examine every individual item.

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401.22

Hope this helps!

May I have brainliest please? :D

Answer:

401.22

Step-by-step explanation:

You just regularly multiply.....

Answer:

4k+2 (when k=6)

5k+6 (when k=4)

Step-by-step explanation:

Answer:

14

12

Step-by-step explanation:

Just run through possible even numbers up till 26.

14 + 12 = 26 and they are two consecutive even numbers

\(\frac{22}{3}\) Have a good day.

Answer:

138.6 square meters

Step-by-step explanation:

The area formula for trapezoids is height x (base 1 + base 2)

                                                           7 x (14.6 + 5.2)

                                                                7 x 19.8

                                                                     =

                                                                  138.6

Answer:

D. 157.5

Step-by-step explanation:

Formual for sum of interior angles

(n-2)*180

so 14*180=2520

but that is the sum

divide that by 16 (2520/16) = 157.5

Answer:

8/100 or 2/25

Step-by-step explanation:

The decimal 0.08 can be written as the fraction 8/100 or, in simplest form, 2/25.

Answer:

Step-by-step explanation:

When you cube negative numbers the answer will always be negative. In this calculator you do not need to use parentheses with your input because you will still get the correct answer although, you should be aware that below is how your inputs are actually interpreted by the calculator. 1. -2³ means -(2 × 2 × 2) = -8 2. -(2)³ means -(2 × 2 × 2) = -8...

Answer:

My answer is better not that LOSERS!!

Step-by-step explanation:

When you cube negative numbers the answer will always be negative. In this calculator you do not need to use parentheses with your input because you will still get the correct answer although, you should be aware that below is how your inputs are actually interpreted by the calculator. 1. -2³ means -(2 × 2 × 2) = -8 2. -(2)³ means -(2 × 2 × 2) = -8...

If the person is actually a height of 150 cm, the by use of scale factor, the building is actually a height of 3000 cm tall.

The scale factor is defined as a measure for similar figures, that seem to appear the same but yet have different scales or measures.

Now, we are told that the picture indicates a height of 10 cm for the building while the person beside that building in the picture is a height of 0.5cm.

Now, we are told that the real height of the person physically is 150 cm and this means that the picture represents a scaled height of the person. Thus, the scale factor will be; 150/0.5 = 300

Thus;

True length of building physically = 10cm * 300 = 3000 cm

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A tax of 7.5 percent was added to the product to make it equal to 27.95.

Answer:

C.) \(x^{\frac{3}{2} } y^{\frac{19}{2} }\)

Step-by-step explanation:

To simplify the expression, you need to:

1.) Rewrite \(\sqrt{xy^{3} }\)

    -----> \(\sqrt{x} = x^{\frac{1}{2} }\)

2.) Distribute the exponents

    -----> When an exponent is raised to another exponent, they should be multiplied

3.) Create common denominators

4.) Combine the variables

    -----> When two variables with exponents are being multiplied, the exponents should be added

Answer:

Force= Mass×Accelaraion

F=m×a

But as The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²

Thus, we have 10mph = 4.47 meters per second square. (i converted using scientific calculator)

So now we have,

2000N= m×4.47m/s²

= 2000/4.47m/s²=m

= 447.42

Thus the mass of the object is 447.42 (i am not sure of units)

Answer:

Force= Mass×Accelaraion

F=m×a

The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²

we have 10mph = 4.47 meters per second square

2000N= m×4.47m/s²

= 2000/4.47m/s²=m

= 447.42

m = - 1.5

Hi there !

- 1.4m = 2.1

m = 2.1 : - 1/4

m = - 1.5

Good luck !

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Answer:It is not possible

Step-by-step explanation: It is not possible because we need 12 plot to solve for an accurate mean but there is only 11 data which is impossible.

Answer: D) Commutative property of addition

Explanation:

When going from the "given" to "step 1", we swap the positions of -20 and 3x. We use the commutative property of addition to get this done. That general rule is x+y = y+x. We can add in any order.

An example of this is 8+9 = 9+8 both sides lead to 17. Note that subtraction is the same as adding a negative. So we can think of 3x-20 as 3x+(-20).

It would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

To determine the number of years it will take for an investment of $100,000 at a 7% annual interest rate to grow to $500,000, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment ($500,000)

P = the initial principal amount ($100,000)

r = the annual interest rate (7% or 0.07)

n = the number of times that interest is compounded per year (assuming annually, so n = 1)

t = the number of years

Plugging in the values we know, we get:

$500,000 = $100,000(1 + 0.07/1)^(1*t)

Dividing both sides of the equation by $100,000 and simplifying:

5 = (1.07)^t

To solve for t, we can take the logarithm of both sides:

log(5) = log[(1.07)^t]

Using logarithmic properties, we can bring down the exponent:

log(5) = t * log(1.07)

Finally, we can solve for t by dividing both sides by log(1.07):

t = log(5) / log(1.07)

Using a calculator, we find:

t ≈ 19.65

Therefore, it would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

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Answer: About 2477.16 feet

Step-by-step explanation:

The minimum length of the crest vertical curve is 354.1 feet, and the minimum length of the sag curves is 493.4 feet.

In designing the crest vertical curve, several criteria need to be considered, including driver perception-reaction time, design speed, and grade changes. The design should ensure driver comfort and safety by providing adequate sight distance.

To determine the minimum length of the crest vertical curve, we consider the stopping sight distance, which includes the distance required for a driver to perceive an object, react, and come to a stop. The minimum length of the crest curve is calculated based on the formula:

Lc = (V^2) / (30(f1 - f2))

Where:

Lc = minimum length of the crest vertical curve

V = design speed (in feet per second)

f1 = gradient of the approaching grade (in decimal form)

f2 = gradient of the departing grade (in decimal form)

Given the design speed of 60 mph (or 88 ft/s), and the grade changes of +4% and -3%, we can calculate the minimum length of the crest vertical curve using the formula. The result is approximately 434 feet.

Additionally, the sag curves are designed to provide a smooth transition between the crest curve and the approaching and departing grades. The minimum lengths of the sag curves are typically equal and calculated based on the formula:

Ls = (V^2) / (60(a + g))

Where:

Ls = minimum length of the sag curves

V = design speed (in feet per second)

a = acceleration due to gravity (32.2 ft/s^2)

g = difference in grades (in decimal form)

For the given scenario, the difference in grades is 7% (4% - (-3%)), and using the formula with the design speed of 60 mph (or 88 ft/s), we can calculate the minimum lengths of the sag curves to be approximately 307 feet each.

By considering the perception-reaction time, design speed, and grade changes, the minimum lengths of the crest vertical curve and the sag curves can be determined to ensure safe and comfortable driving conditions on the two-lane highway.

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Answer:

C. 15800 to spare

Step-by-step explanation:

All you have to do is add up the total money he has to spend  money, then you add up the total cost, and subtract the total money he has to spend by the total cost, and you're left with he has 15,800 left to spare. ;)

He should make a loan from the investors about 4.6%..

To determine the volume or chance of commodity in terms of 100, use the chance formula. Per cent simply means one in a hundred. With the chance formula, a number between 0 and 1 can be expressed. A number that's expressed as a bit of 100 is what it is. It's substantially used to compare and determine rates and is represented by the symbol.

Total quantum plutocrat Korey have

= Saving plutocrat heritage plutocrat

= $,500$,000

= $,500

Total quantum of charges

= Store Fixtures amount + Computer and Cash Register amount + Inventory  amount +Rent amount + Insurance amount

=  $2700 + $1200 + $17400 +$10800 + $3000

= $35100

So, Fund taken through loans and investor

= Total quantum of charges -Total quantum plutocrat Korey have

= $ 35100-$ 33500

= $ 1600

and, the percentage is

= 1600 x 100 / 35100

= 4.6%

He should make a loan from the investors about 4.6%.

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