given that2025=
\( {3}^{k \times } {5}^{t} \)
state the values of k and t​

The answer to your question is 11

Answer:

11

Step-by-step explanation:

You count backwards from -3 it helps when using a number line

Answer:

\(f'(x) = 4x^2 - 3\) for \(x \le -3\)

Step-by-step explanation:

See attachment for proper question

Given

\(f(x) = -\frac{1}{2}\sqrt{x + 3}\)

For

\(x \ge -3\)

Required

Determine the inverse function

\(f(x) = -\frac{1}{2}\sqrt{x + 3}\)

Replace f(x) with y

\(y = -\frac{1}{2}\sqrt{x + 3}\)

Swap the positions of x and y

\(x = -\frac{1}{2}\sqrt{y + 3}\)

Multiply both sides by -2

\(-2 * x =-2 * -\frac{1}{2}\sqrt{y + 3}\)

\(-2x =\sqrt{y + 3}\)

Square both sides

\((-2x)^2 =(\sqrt{y + 3})^2\)

\(4x^2 =y + 3\)

Make y the subject

\(y = 4x^2 - 3\)

The inverse has been solved. So, we need to replace y with f'(x)

\(f'(x) = 4x^2 - 3\)

Next, is to determine the interval

\(x \ge -3\)

Change inequality to \(\le\)

\(x \le -3\)

Hence, the inverse function is:

\(f'(x) = 4x^2 - 3\) for \(x \le -3\)

The value of side length w is 13.75 .

Given right angled triangle,

Perpendicular = w

Hypotenuse = 17

Angle of triangle = 54°

So,

According to the trigonometric ratios,

tanФ = p/b

cosФ = b/h

sinФ = p/h

By using sinФ,

sinФ = p/h

sin 54° =  w/ 17

0.809 = w/17

w = 13.75 .

Thus after correction w will be 13.75

Know more about trigonometry,

https://brainly.com/question/25618616

#SPJ1

The expected instantaneous rate of change, denoted as r, for a geometric Brownian motion stock price (St) represents the average rate at which the stock price is expected to change at any given point in time. It is typically expressed as a constant or a deterministic function.

On the other hand, the expected return, denoted as r - 0.5σ^2, on the stock ln(St) over an interval of time [0,t] represents the average rate of growth or change in the logarithm of the stock price over that time period. It takes into account the volatility of the stock, represented by σ, and adjusts the expected rate of return accordingly.

The key difference between the two is that the expected instantaneous rate of change (r) for the stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

In other words, the expected instantaneous rate of change focuses on the average rate of change at a specific point in time, disregarding the impact of volatility. On the other hand, the expected return over a given interval of time accounts for the volatility in the stock price and adjusts the expected rate of return to reflect the effect of that volatility.

The expected instantaneous rate of change (r) for a geometric Brownian motion stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

To know more about Rate, visit

brainly.com/question/119866

#SPJ11

−196,16

.....................

Inequality that can represent the amount of water in tank is w ≥ 30.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not-equal to sign.

Given,

minimum amount of water = 30 ounces

Let the amount of water be w ounces,

Inequality can be written as

w ≥ 30

Hence, w ≥ 30 is the inequality for the amount of water brought by hikers.

Learn more about inequality here:

https://brainly.com/question/30231190

#SPJ9

The correct is (C) μ = -0.05 and σ = 0.15. The investigator is using the sample proportion p to estimate the true proportion of red blossoms in his hybrid plants.

The sample proportion p is expected to be normally distributed with a mean of μ = 0.15 and a standard deviation of σ = sqrt(p(1-p)/n), where n is the sample size. Substituting the values given, we get σ = sqrt(0.15(1-0.15)/50) = 0.05. However, since the investigator anticipates that the proportion of red blossoms is 0.15, he expects the sample proportion to be close to this value. Therefore, the mean of the sample proportion distribution should be close to the anticipated proportion, which is 0.15 - p = 0.15 - 0.15 = -0.05. Therefore, the correct answer is (C) μ = -0.05 and σ = 0.15. The investigator's anticipated proportion of red blossoms in his hybrid plants is 0.15. With a random sample of 50 plants, the sample proportion (p) follows a normal distribution. To determine the mean (μ) and standard deviation (σ), we can use the given information:
μ = p = 0.15 (anticipated proportion)
n = 50 (sample size)
We can calculate the standard deviation using the formula for binomial distribution:
σ = √(p(1-p)/n) = √(0.15(1-0.15)/50) = √(0.15*0.85/50) ≈ 0.05
Thus, the correct answer is (B) μ = 0.15 and σ ≈ 0.05.

To know more about proportion visit:

https://brainly.com/question/31548894

#SPJ11

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

Answer:

x ≥ 2

Step-by-step explanation:

Step 1: Isolate x

6x ≥ 12

Step 2: Divide both sides by 6

x ≥ 2

And we have our answer!

Answer:

x ≥ 2

Step-by-step explanation:

6x+1 ≥ 13

Subtracting both sides by 1

6x ≥ 13-1

6x ≥ 12

Dividing both sides by 6

=> x ≥ 2

Answer: 26

Step-by-step explanation: if each ride costs $.50 each, and admission costs $7, you multiply .50 by 26 and get 13. After you then add $13 and $7 and that equals $20. $13 dollars Jerold can spend

Answer:

365/1,000 or .365

Step-by-step explanation:

HTH :)

Three hundred sixty five thousand in standard form is 365000.

The standard form of numbers is when we have to write the number in digits according to it's place and face value.

Word form of numbers is that when we have to write numbers given in numerical form to words by determining place and face value.

According to the given question we have to write  three thousand sixty five thousand in standard form.

We know thousand has three zeroes.Suppose we have to write one thousand in standard form which is 1000.

Given we have to write three hundred sixty five thousand in standard form which is 365000.

learn more about numbers here :

https://brainly.com/question/17264364

#SPJ2

The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

To know more about expression here

https://brainly.com/question/14083225

#SPJ1

Answer:

Step-by-step explanation:

1 is in the tenth place

\(\sf 1's \ value = \dfrac{1}{10}\)

It is not possible to reach the top of the ladder to the edge of the roof.

We can solve this problem using the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).

In this case, the ladder is the hypotenuse of a right triangle, and the distance from the base of the ladder to the house and the distance from the top of the ladder to the edge of the roof are the two shorter sides.

Let x be the distance from the top of the ladder to the edge of the roof. Then, we can write:

\(10^{2}\) = \((1.5)^{2}\) + \(x^{2}\) + \(12^{2}\)

Simplifying and solving for x, we get:

100 = 2.25 +\(x^{2}\) + 144

\(x^{2}\) = 100 - 2.25 - 144

\(x^{2}\) = -46.25

Since x represents a distance, which must be positive, this means that there is no solution to the equation. Therefore, it is not possible for Sammy to reach the edge of the roof with his 10-foot ladder while keeping the base of the ladder at least 1.5 feet from the base of the house.

Correct Question :

Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. the roof is 12 feet above the ground. the base of the ladder must be at least 1.5 feet from the base of the house. how far is it from the top of the ladder to the edge of the roof?

To learn more about edge here:

https://brainly.com/question/2272331

#SPJ4

Answer:

John has trouble making decisions.

Step-by-step explanation:

In the passage, it says the "I don't know what to do," John sighed and shrugged as he stared at the free ticket for tomorrow's show that he'd just been given. ,¨ indicates he´s having some trouble.

Answer:

John has trouble making decisions < 3

...................................................................................................................................

This is 100 % correct :'}  

.................................................................................................................................

I know im late lol , but for the people who didnt know what the answer was this is the answer ! ;')

....................................................................................................................................

Have a nice day < 33 !

...................................................................................................................................

The independent variable in either a before/after t-test or a within-subjects ANOVA is always measured on a nominal or categorical scale.

This is because these statistical tests are used to compare means of two or more related groups, where the independent variable represents the different conditions or time points in which the dependent variable is measured.

For example, in a before/after t-test comparing the effectiveness of a medication, the independent variable would be the two time points (before and after), which are categorical in nature. Similarly, in a within-subjects ANOVA comparing three different treatment conditions, the independent variable would be the three treatment conditions, which are nominal in nature.

Learn more about statistical tests

https://brainly.com/question/14128303

#SPJ4

Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

If the square of Ethan's age is added to Jordan's age, the result is \(56\), which equals Ethan's age. The answer is that Ethan is \(6\) years old.

A person's birth date is compared to the day on which their age has to be computed as part of the age calculation process. The age of the individual is calculated by subtracting the person's age from the given date. Provided Date - Birthdate is used to compute age.

A person's age is merely a measurement of how long they have been living. These metrics don't adequately describe who you are or what you have accomplished. At any age, either old or young, one may do anything.

The solution states that \(56\) is equal to \(4\) times Jordan's age multiplied by the square of Ethan's age. This may be expressed as an equation:

\(x^2 + 4(x-1) = 56\)

Simplifying the equation:

\(x^2 + 4x - 4 = 56\)

\(x^2 + 4x - 60 = 0\)

We can solve this quadratic equation by factoring:

(x+10)(x-6) = 0

Therefore, \(x = -10\) or \(x = 6\). We can discard the negative value since age cannot be negative, so Ethan's age is \(6\).

To check, we can substitute x=6 into the original equation:

\(6^2 + 4(6-1) = 36 + 20 = 56\)

So the solution is Ethan is \(6\) years old.

To know more about age visit:

https://brainly.com/question/29043930

#SPJ1

A

Steliên hợp p-by-step explanaliên hợp ion:

Answer:

all values less than -13

Step-by-step explanation:

3x + 5 < 2x - 8

3x + 5 - 5 = 2x - 8 - 5  ==> isolate x by subtracting 5 on both sides

3x < 2x - 13  ==> simplify

3x - 2x < 2x - 2x - 13  ==> subtract 2x from both sides to move x to the left

                                         side of the inequality

x < -13  ==> simplify

Hence, the answer is all values less than -13.

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!

Answer:

width is 30-22 = 8 feet

George would need 76 feet of fencing for the dog run

Step-by-step explanation:

30 x (30-x) = 240

30-x = 8

-x = -22

x = 22

Therefore width is 30-22 = 8 feet

8+8+30+30 = 76

Thus, George would need 76 feet of fencing for the dog run

If a repeated-measures design is used n=20 participants are needed for the study

If a matched-subjects design is used n=40 participants are needed for the study

Repeated measures configuration is an exploration plan that includes numerous proportions of similar variables taken on something similar or matched subjects either under various circumstances or throughout two or additional time spans. For example, repeated measures are gathered in a longitudinal report in which change after some time is surveyed.

A matched subject design involves separate trial bunches for every specific treatment, yet depends on coordinating each subject in one gathering with an identical one in another. The thought behind this is that it decreases the possibility of a persuasive variable slanting the outcomes by invalidating them.

To learn more about statistics and probability,

https://brainly.com/question/15006619

#SPJ4

Answer:

Step-by-step explanation:

Answer:

your answer will be option D) all real numbers

Step-by-step explanation:

have a nice day/night !! ^_^

Answer: 0.0015813253

Step-by-step explanation:

is you ment to say 14,280 divided by 21 then it would be 632.380952381

Answer:

what can i help u with

Step-by-step explanation:

No; the relation passes the vertical-line test. Yes; only one range value exists for each domain value

Yes; two domain values exist for range

yes; only one range value exists for each domain.

Answer:

\(\boxed {a_{24} = - 70}\)

Step-by-step explanation:

According to the following pattern sequence (\(-1, -4, -7, -10\) ), it is Arithmetic Sequence, because every negative number is subtracted by \(3\). So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

\(a_{n} = a_{1} + (n - 1) d\)

\(a_{n}\): nth term in the sequence

\(a_{1}\): 1st term

\(n\): term position

\(d\): Common difference

-Apply to the formula:

\(a_{24} = -1 - 3 (24 - 1)\)

\(a_{n} = a_{24}\)

\(a_{1} = -1\)

\(n = 24\)

\(d = -3\)

-Solve:

\(a_{24} = -1 - 3 (24 - 1)\)

\(a_{24} = -1 - 3 (23)\)

\(a_{24} = -1 - 69\)

\(\boxed {a_{24} = - 70}\)

Therefore, the 24th term is \(-70\).

The function represented in the graph attached is

The standard vertex form of quadratic equation is of the form,

y = a(x - h)² + k     where a = 1/4p

The vertex

v (h, k) = (-1, 2) (from the graph)

h = -1

k = 2

substitution of the values into the equation gives

y = a(x + 1)² + 2

solving for a using point (0, -1) on the graph

-1 = a(0 + 1)² + 2

-1 = a + 2

-1 - 2 = a

a = -3

substituting the value of "a" into the equation

y = a(x + 1)² + 2

y = -3(x + 1)² + 2  (standard vertex form)

Learn more about vertex of quadratic equations at:

https://brainly.com/question/29244327

#SPJ1

Answer:

the answer is 240 multiply and divide

Answer:240

Step-by-step explanation:

Use the order of operations. (PEMDAS)

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction

Hope this helped dude