What is the value of X if x +15 = 38

Answer:

\(2^2=4\)

Step-by-step explanation:

\((3^8 \cdot 2^{-5} \cdot 9^0)^{-2} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}\)

Using exponent rule \(a^0=1\)

\(\implies (3^8 \cdot 2^{-5} )^{-2} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}\)

Using exponent rule \((a^b \cdot a^c)^d=(a^{bd} \cdot a^{cd})\)

\(\implies 3^{(8\times-2)} \cdot 2^{(-5\times-2)} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}\)

\(\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}\)

Using exponent rule  \(\left(\dfrac{a^b}{a^c}\right)^d=\left(\dfrac{a^{bd}}{a^{cd}}\right)\)

\(\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{(-2\times4)}}{3^{(3\times4)}}\right) \cdot3^{28}\)

\(\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{-8}}{3^{12}}\right) \cdot3^{28}\)

Rewrite as one fraction:

\(\implies \dfrac{3^{-16} \cdot 2^{10} \cdot2^{-8}\cdot3^{28}}{3^{12}}\)

Using exponent rule \(a^b \cdot a^c=a^{b+c}\)

\(\implies \dfrac{3^{(-16+28)} \cdot 2^{(10-8)}}{3^{12}}\)

\(\implies \dfrac{3^{12} \cdot 2^{2}}{3^{12}}\)

Cancel the common factor \(3^{12}\)

\(\implies 2^2\)

\(\implies 4\)

Answer: thank you

Step-by-step explanation:

The number 8,536 is divisible by 2, 4 and 8.

Answer:

2, 4 , 8  & 4273

Step-by-step explanation:

It is only divisible by 2 and 4273, the latter is prime number as well

Hope this helps

Answer:

(0,0.5)

Step-by-step explanation:

by using midpoint formula

-6+6/2 , 8+(-7)/2

0/2 , 1/2

0 ,0.5

hope you happy with this

please mark as brainlist

Answer:

7083 KM/H

Step-by-step explanation:

17000 / 2.4 = 7083 (Plus some decimals, but rounded up its 7083.)

The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.

The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.

The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.

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Answer:

\(x^{2} = 7\) and \(y^{2} = -8\)

Step-by-step explanation:

When you have a question with the midpoint (0,0), the answer for y and x will be the opposite of the endpoint numbers.

a. Rounded to the nearest mile, the distance from New York City to Los Angeles is 2556 miles.
b. Rounded to one decimal place, we can expect to use 82.4 gallons of gas driving from New York to Los Angeles.

a. To convert the distance from kilometers to miles, we can use the given unit fraction: 1 mile ≈ 1.6 kilometers. First, set up the conversion using the given distance:

4090 kilometers × (1 mile / 1.6 kilometers)

The kilometers units will cancel out, leaving the result in miles:

4090 / 1.6 ≈ 2556.25 miles

Rounded to the nearest mile, the distance is approximately 2556 miles.

b. To calculate the number of gallons of gas needed, we can use the car's average of 31 miles per gallon. Set up the conversion using the distance in miles:

2556 miles × (1 gallon / 31 miles)

The miles units will cancel out, leaving the result in gallons:

2556 / 31 ≈ 82.5 gallons

Rounded to one decimal place, you can expect to use approximately 82.5 gallons of gas driving from New York to Los Angeles.

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The height of each bar in a histogram represents the frequency (or relative frequency) of the data within that interval.

in a histogram, the data is divided into intervals or bins, which are marked off along the horizontal axis. The height of each bar represents the number of data points (or the percentage of data points, if relative frequency is used) that fall within that interval. The area of each bar is proportional to the frequency of the data within that interval. The histogram is used to display the distribution of a continuous variable and to show the distribution of the data over a certain range. It is useful for identifying patterns and outliers in the data and comparing different sets of data.

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The property of "real-numbers" which is demonstrated by equation 52 + (27+35) = (52+27) +36 is : (b) Associative Property.

The "Associative-Property" of addition states that the way in which numbers are grouped in an addition expression does not affect the final sum.

In the given equation, the left side is calculated by first adding 27 and 35, then adding the result to 52. On the right side, 52 is added to 27 first, and then the sum is combined with 36.

Both sides of the equation gives the same result illustrating the associative-property of addition. This property is fundamental characteristic of real-numbers and helps to simplify calculations by allowing numbers to be grouped in different ways without changing the outcome.

Therefore, the correct option is (b).

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Answer:

Y vale 3 x vale 2 ponme

Step-by-step explanation:

The median of the first 25 whole numbers is 12.

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.

The data set's median is the value in the center. Put all the numbers in ascending or descending order, and then choose the middle number to determine the median. There will only be one middle integer if the number of data points is odd. If the number of data points is even, you must choose the middle two numbers, add them together, and divide by two.

The first 25 whole numbers are as follows:-

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Here total no. of terms = n = 25 which is odd.

Therefore median = (n + 1)/2 th term

= (25 + 1)/2 th term

= 26/2 th term

= 13th term

Here, the 13th term is 12

Hence, the median of the first 25 whole numbers is 12.

Complete question: What is the median of the first 25 whole numbers?

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Answer:

Step-by-step explanations:

We can write the equivalent expression as -

{5.95 × 10⁸ + 8.87 × 10⁸} = {10⁸ x 14.82}.

In mathematics, an expression or mathematical expression is combination of terms both constants and variables. For example -

23 + 54

2x + 5

3x + 5y + z

Given is that after gathering information, Kara decided to add up some distances. She decided to add the distance from Earth to Saturn with the distance from Earth to Jupiter. He wrote -

5.95 × 10⁸ + 8.87 × 10⁸

The given expression is -

5.95 × 10⁸ + 8.87 × 10⁸

10⁸ x (5.95 + 8.87)

10⁸ x 14.82

Therefore, we can write the equivalent expression as -

5.95 × 10⁸ + 8.87 × 10⁸ = 10⁸ x 14.82.

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{Question in english -

1) Operations with numbers written in scientific notation

a) After gathering information, Kara decided to add up some distances. decided to add the distance from Earth to Saturn with the distance from Earth to Jupiter. Here is what he wrote.

5.95×108 + 8.87×108

Do you know what the result is?}

Answer: 33/171

Step-by-step explanation:

We can add the marbles together to get a total of 20 marbles. There are 4 red marbles. That means 12 aren't red. The first time, the chance of getting a not red marble is 3/5. The next time, there are 19 marbles and 11 possible not reds, so it will be 11/19. The third time there are 10 possible not reds and 18 marbles so the probability is 5/9. Multiplying them all together gets you 165/855 which can be simplified to 33/171

hope this helps, though I need to check it

Probability is the likelihood that something will occur. The probability exists 3/1250.

Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true. The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.

Probability is simply the likelihood that something will happen. The likelihood or likelihood of various outcomes can be discussed when we don't know how an event will turn out. The study of events subject to probability is known as statistics.

The probability that none of the three draws will be red

= (8/20) × (6/20) × (4/20) × (2/20)

= 3/1250

Therefore, the probability exists 3/1250.

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When working with probabilities, it can also be useful to consider the odds of an event occurring. The odds in favor of an event are the ratio of the probability of the event occurring to the probability of the event not occurring.

In this case, we are given that the probability of the event E occurring is 0.61. To find the odds in favor of E, we can use the formula:

Odds in favor of E = P(E) / (1 - P(E))

Substituting in the value of P(E) = 0.61, we get:

Odds in favor of E = 0.61 / (1 - 0.61)

Odds in favor of E = 0.61 / 0.39

Odds in favor of E = 1.564

So the odds in favor of event E are 1.564. This means that for every one time the event E occurs, it is expected to occur approximately 1.564 times. Another way to interpret the odds is that there is a 1 in 1.564 chance of the event E occurring, or that the probability of the event not occurring is 0.39 times greater than the probability of the event occurring. The odds in favor of an event can be a useful way to understand and communicate probabilities, particularly in situations where it is difficult to directly compare probabilities.

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The distance between the given two points is 7 units.

Formula: \(\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

Put the values in the formula:

Then,

\(\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\sqrt{(-5-0)^{2}+(-5-(-1))^{2} } \\\sqrt{25+(25-1)} \\\sqrt{25+24} \\\sqrt{49} \\=7\)

Therefore, the distance between the given two points is 7 units.

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Answer:

168 sq inches

Step-by-step explanation:

SA = 2(1.5x6) + 2(1.5x10) + 2(6x10)

= 2(9) + 2(15) + 2(60)

= 18+30+120

= 168 sq inches

Answer: pentagons perimeter: 5l rectangles perimeter: 2l+ 2(l+10) scenarios equation; 5l=2l+2(1+10)

Step-by-step explanation:

Answer:

pentagon: second choice

rectangle: fourth choice

scenario: fourth choice

Step-by-step explanation:

Answer:

80 dollars

Step-by-step explanation:

l=prt ⇒ p=l/rt

20=p(0.05)(5)

P=20/0.25=80 dollars

Answer:

The answer is $80

Step-by-step explanation:

I just got it right

The function that represents the balance after t years is ,

FV = $470( 1.011)^4t

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = Future value

P = Present value

R = interest rate

m = number of compounding

N = number of years

here, we have,

given that,

P = Present value= $470.

R = interest rate = 4.4%/4 =

m = number of compounding =4

N = number of years = t

FV = $470( 1.011)^4t

Hence,  The solution is, a function to represent the balance A in the account after t years is, FV = $470( 1.011)^4t

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Answer:

5/7

Step-by-step explanation:

We have two points ( 2,-2) and (9,3)

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 3- -2)/( 9-2)

   = ( 3+2)/(9-3)

   = 5/7

Answer:

Hence, the value of y = b^2 = (-3/2)^2 = 9/4 is your answer

Step-by-step explanation:

only if your answers are
A) 3/2

B) 9/4

C) 6

D) 9

Markov analysis is used for analyzing the performance and reliability of complex systems, while replacement charts are used for optimizing the replacement timing of deteriorating assets.

Markov Analysis:

Markov analysis is a probabilistic model that is used to predict the future state of a system based on its current state.

It involves the use of Markov chains to model the transitions between different states of a system over time.

Markov analysis is commonly used when the equipment or system under consideration can be in multiple states with varying probabilities of transition.

It is suitable for analyzing systems that have a continuous or non-repairable nature, such as complex machinery, infrastructure, or systems with multiple failure modes.

The primary objective of Markov analysis is to assess the reliability, availability, and performance of the system and make decisions regarding maintenance, replacement, or repair strategies.

Replacement Chart:

A replacement chart, also known as a replacement model or replacement policy, is a decision-making tool used to determine the optimal time to replace a piece of equipment or system.

It involves comparing the costs associated with continuing to use the existing equipment (including maintenance and repair costs) with the costs of replacing it.

The replacement chart provides a visual representation of the costs over time and helps identify the point at which replacement becomes more cost-effective than continued use.

Replacement charts are commonly used for assets that are subject to wear and tear, aging, or deterioration over time, such as vehicles, machinery, or equipment with a defined lifespan.

The primary objective of a replacement chart is to minimize costs associated with the asset's life cycle by optimizing the replacement timing.

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The expression, the opposite of eight increased by three, written as a numerical expression is -8 + 3

The value is -5

From the question, we are to write the numerical expression for the given expression

The given expression is

"the opposite of eight increased by three"

The opposite of eight is -8

If -8 is increased by three

That is,

-8 + 3

We get,

-8 + 3 = -5

Hence, the expression, the opposite of eight increased by three, written as a numerical expression is -8 + 3

The value is -5

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Answer:

B. X⁴+2X²+2

Step-by-step explanation:

If f(x) = x²+1, we are to find ff(x)

F(f(x)) = f(x²+1)

to get f(x²+1), we will have to substitute x as x²+1 in the function f(x) as shown;

F(x²+1) = (x²+1)²+1

Expand the expression

f(x²+1) = (x²+1)(x²+1)+1

f(x²+1) = (x⁴+x²+x²+1)+1

f(x²+1) = x⁴+2x²+1+1

f(x²+1) = x⁴+2x²+2

Hence f(f(x)) = x⁴+2x²+2

Answer:

Step-by-step explanation:

I'm guessing at this a bit.

The final score will depend on what is par for each hole and/or for the entire course.  The scores for the first four rounds were all negative.  That means Ko required fewer strokes to hit the hole than the number considered "par" for the course.

Let P stand for the Par of the course.  Then the score for each round would be:

P-3

P-4

P-7, and

P-2

The sum:  4P - 16 is her score for the first four rounds.  I have no clue if there are more than 4 rounds, but if there are, the equation would be:

For n rounds:

nP - ∑\(x_{n}\)

where ∑\(x_{n}\) is the sum of over/under pars for the n rounds.

The weekly standard deviation of the stock price calculated from this sample is 42.957

Given info,

Bear Stearns' stock price closed at $98, $103, $58, $29, and $4 over five successive weeks,

To find the weekly standard deviation of the stock price calculated from this sample,

We use,

μ = (98 + 103 + 58 + 29 + 4) / 5

μ = 58.4

The mean of this sample is 58.4

The standard deviation is,

σ = \(\sqrt{\frac{(98-58.4)^2+(103-58.4)^2+(58 - 58.4)^2+(29-58.4)^2+(4-58.4)^2}{(5-1)} }\)

σ = √1845.3

σ = 42.957

Hence, the standard deviation is 42.957

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An investment of $900 is compounded continuously at a 6% interest rate for 5 years. The explanation will provide the calculations using the continuous compound interest formula and determine the accumulated value of the investment.

When an investment is compounded continuously, we use the formula A = Pe^(rt) to calculate the accumulated value, where A is the accumulated value, P is the principal amount, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the number of years.

Substituting the given values into the formula:

A = 900 * e^(0.06 * 5)

Simplifying the exponent:

A = 900 * e^(0.3)

Using a calculator or a computational tool, we find the approximate value of e^(0.3) to be 1.34986:

A ≈ 900 * 1.34986

A ≈ $1,214.87

Therefore, after 5 years of continuous compounding at a 6% interest rate, the accumulated value of the $900 investment is approximately $1,214.87.In continuous compounding, the interest is constantly being applied and compounded at every infinitesimal moment. As a result, the accumulated value grows continuously without discrete compounding intervals. Continuous compounding can yield slightly higher results compared to compounding with fixed intervals, such as annually, semiannually, or quarterly, as it takes advantage of compounding at every instant.

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Answer:

True

Step-by-step explanation:

assuming that you meant to write

cot (x-π//2) = - tan x

the identity is TRUE because,

- you can graph cot (x-π//2)  and  - tan x, and see that the graphs overlap

OR

-you solve for cot (x-π/2)

useful to know is that :

cot x=1/tan x, tan x = sin x/cos x,  

cos(x) =cos(-x), sin(-x) = -sin x,

cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = 1/tan (x-π/2) , yet tangent is sin x/cos x

cot (x-π/2) = cos (x-π/2) /sin (x-π/2) , factor -1

cot (x-π/2) = cos -(π/2-x) /sin -(π/2-x),  use facts: cos(x) =cos(-x), sin(-x) = -sin x

cot (x-π/2) = cos (π/2-x) / -sin (π/2-x), use cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = sin x / -cos x , again sin x /cos x = tan x

cot (x-π/2) = -tan x