Let R be the region in the first quadrant under the graph of y=1√x=1 for 4≤x≤94≤≤9.
Find the area of R. If the line x=K= divides the region Rinto two regions of equal area, what is the value of K?

The given statement is false "A compression member designed in ASD will pass the LRFD requirements.

ASD (Allowable Stress Design) and LRFD (Load and Resistance Factor Design) are two distinct approaches for designing structural members. ASD relies on allowable stress, obtained by dividing the maximum stress the material can handle by a safety factor. The applied loads are compared to these allowable stresses to ensure the member stays within safe limits.

On the other hand, LRFD is a more advanced design method that accounts for uncertainties in material strengths, loads, and other factors. It involves multiplying the applied loads by load factors and dividing the member's resistance by resistance factors. A design is considered safe if the load effects are lower than the resistance.

Due to different safety factors and approaches, a compression member designed using ASD may not necessarily meet the requirements of LRFD. The choice of design method should be based on the specific project requirements and code provisions.

In summary, a compression member designed using ASD will not always satisfy the LRFD requirements since these methods employ different approaches and safety factors.

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Answer:

what are the answer choices

Step-by-step explanation:

The linear expression 24y - 12 is not equivalent to the expression 2(12y - 12) option (A) 2(12y - 12) is correct.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a linear expression:

= 24y - 12

From the above linear expression take 2 as a common factor:

= 2(12y - 6)

Take 2 as common factor again:

= 2(2)(6y - 3)

= 4(6y - 3)

Now, take 3 as a common factors:

= 12(2y - 1)

The expression 24y - 12 is equivalent to the expressions 2(12y - 6), 4(6y - 3), and 12(2y - 1).

Thus, the linear expression 24y - 12 is not equivalent to the expression 2(12y - 12) option (A) 2(12y - 12) is correct.

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Answer:

approximately 92.8 miles

Step-by-step explanation:

The LCD in this case is 2x^(2). So the solutions to the equation are x = 0 and x = 5.

To solve the equation, we first need to find the least common denominator (LCD) of all the fractions.

Next, we multiply each side of the equation by the LCD to eliminate the fractions:

2x^(2)*(x^(2)-x-6)/(x^(2)) = 2x^(2)*(x-6)/(2x) + 2x^(2)*(2x+12)/(x)

Simplifying the equation gives us:

2x^(2)-2x-12 = x^(2)-3x-12

Next, we move all the terms to one side of the equation:

x^(2)-5x = 0

Finally, we can factor the equation and set each factor equal to zero:

x(x-5) = 0

x = 0 or x = 5

So the solutions to the equation are x = 0 and x = 5.

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Answer:  Choice D) \(x \ge -6\)

=========================================================

Explanation:

Taking the square root of a negative number leads to a nonreal result.

So we want the radicand to be 0 or positive

Set the stuff under the square root to be 0 or larger. Solve for x.

\(\frac{1}{3}x+2 \ge 0\\\\\frac{1}{3}x \ge 0-2\\\\\frac{1}{3}x \ge -2\\\\x \ge 3(-2)\\\\x \ge -6\)

If x is -6 or larger, then \(\frac{1}{3}x+2\) is 0 or larger leading to some real number for f(x).

The inequality sign does not flip because we multiplied both sides by a positive number. The inequality sign only flips when we multiply both sides by a negative number.

For the given quadrilateral to be a parallelogram, opposite sides must be congruent.

Therefore,

Also, we have that:

Therefore, y = 21 and x = 9

Hence, the perimeter is given by:

Therefore, the values of x and y are y = 21 and x = 9.

The perimeter is 72 units

Answer:

brainliest plssss

Step-by-step explanation:

−2(2−2w)

=(−2)(2+−2w)

=(−2)(2)+(−2)(−2w)

=−4+4w

=4w−4

Answer:

200π

Step-by-step explanation:

Surface area of a cone  = πr(r+l)

r is the radius

l is the slant height

Volume of the cone = 1/3πr²h

320π = 1/3πr²h

320 = 1/3r²(15)

320 = 5r²

r² = 320/5

r² = 64

r = 8

l² = 15² + 8²

l² = 225 + 64

l² = 289

l = 17

Get the surface area;

S =  πr(r+l)

S =  π8(8+17)

S = π*8*25

S = 200π

Hence the surface area of the cone is 200π

It is false to say that there are integers that are not whole numbers.

False.

In mathematics, the term "integer" refers to a number that can be written without a fractional or decimal component. Integers include positive and negative whole numbers as well as zero. Whole numbers, on the other hand, are non-negative integers (including zero) that do not have fractional or decimal parts.

By definition, integers do not have fractional or decimal components. They are precisely the numbers that are obtained by counting or using negative counting. For example, the numbers -3, -2, -1, 0, 1, 2, 3 are all integers.

In contrast, numbers with fractional or decimal components are called rational or real numbers. These include numbers such as 1.5, -0.8, 3.14, and so on. They are not considered integers because they have parts that are not whole numbers.

The concept of an integer is specifically defined to include whole numbers and exclude numbers with fractional or decimal parts.

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Answer:

Option (2)

Step-by-step explanation:

Given inequality is,

3x + 12 ≤ 24

3x + 12 - 12 ≤ 24 - 12

3x ≤ 12

\(\frac{3x}{3}\leq \frac{12}{3}\)

x ≤ 4

Now we can plot this inequality on a number line.

An arrow starting with a solid point from x = 4 directing towards negative infinity will be the graph on a number line.

Therefore, Option (2) will be the correct option.

The population of the town after 5 years will be 147089 (approx).

Step-by-step explanation:

The exponential growth equation is given by :-

f(x)=A(1+r)^x...(*)

, where A = initial population , r= rate of growth ( in decimal) and x is time.

As per given , we have

A= 13000

r=2.5%=0.025

x= 5 years

Using (*), the population of the town after 5 years would be :

f(5)=13000(1+0.025)^5=13000(1.025)^5\\\\=13000(1.13140821289)=14708.306767614708.3067676\approx147089

Hence, the population of the town after 5 years will be 147089 (approx).

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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If a line's angle with the x-axis is then, that line's slope will be tanα, and the new road's slope will be tan(0) = 0.

D Street is depicted as a vertical line with a 90° angle of inclination in the accompanying figure. In other words, D Street has an infinite slope.

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

A horizontal line now has zero slopes.

The new road has a zero slope as a result.

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Answer:

i guess its 80

Step-by-step explanation:

time x thanks man

With regards to the probabilities of getting each color in the game played by Larry and Jessica, the correct answer is B. No, the probabilities are NOT equally likely.

In the game being played by Larry and Jessica, the colors that can be picked by either person include:

The probability of picking blue is:

= Number of blue sections / Total sections

= 3 / 8

The probability of picking red is :

= 3 / 8

The probability of picking green is:

= 2 / 8

= 1 / 4

The probabilities are therefore not equally likely.

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Answer:

65.2

Step-by-step explanation:

200-134.8=65.2

Answer:

Step-by-step explanation boi:

Answer:

Step-by-step explanation:

x-2

Answer:

The variable can be any letter.

Step-by-step explanation:

The value of z is 4.

Given that,

Based on the above information, the calculation is as follows:

4z = 16

z = 4

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The slope of the linear function that represents the cost of plan B is $0.17.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Since Plan B has the same monthly base charge as plan A, we can logically deduce that the data points (0, 14.45) and (45, 22.10) lie on the linear function.

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (22.10 - 14.45)/(45 - 0)

Slope (m) = $0.17

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Complete Question:

Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table. Monthly Charge for Plan A Minutes used, x Monthly charge ($), y 0 14.45 3 14.84 6 15.23 9 15.62 12 16.01 Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that represents the cost of plan B?

Winston reached an elevation of -63.125 feet during his deepest dive.

To find the elevation Winston reached during his deepest dive, we need to calculate the product of the elevation of the ocean's surface and the given factor.

Given:

Elevation of the ocean's surface: -2.5 feet

Factor: 20 1/5

First, let's convert the mixed number 20 1/5 into an improper fraction:

20 1/5 = (20 * 5 + 1) / 5 = 101 / 5

Now, we can calculate the elevation Winston reached during his deepest dive by multiplying the elevation of the ocean's surface by the factor:

Elevation reached = (-2.5 feet) * (101 / 5)

To multiply fractions, multiply the numerators together and the denominators together:

Elevation reached = (-2.5 * 101) / 5

Performing the multiplication:

Elevation reached = -252.5 / 5

To simplify the fraction, divide the numerator and denominator by their greatest common divisor (GCD), which is 2:

Elevation reached = -126.25 / 2

Finally, dividing:

Elevation reached = -63.125 feet

Therefore, Winston reached an elevation of -63.125 feet during his deepest dive.

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Answer:

4

Step-by-step explanation:

Looking at the stem and leaf plot, we have 4 zoos that have less than 18 sloths, with one zoo having 3, one having 16, and two having 17.

Answer:

64=6/8546/16+1-=77106-

Step-by-step explanation:

hope its help thank you !! much hope its help

Answer:

Graph C. Hope this is correct!!!

Step-by-step explanation:

Answer: It should be "B". the vertical axis is the time and the horizontal axis is number of trees.

This is what my teacher sent me.

Answer:

worship & pray

Step-by-step explanation:

1.  We know the lyrics

2. We interpret what the acronym means

3. We look at the lyrics to help us interpret

4. We see how holy the song sounds and we can conclude that it means Worship and Pray.

:D Yayayayayayayay

There are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

Given that there is total sales of 1790 prints of one of the drawings by Mr, Caradang. Out of which 1273 unframed prints, 152 were small, 544 were medium. Out of the framed prints 23 were small,42 were extra large. Out of large prints 188 were framed, 496 were unframed.

We are required to find the number of small prints,medium prints, large .extra large in total and  total framed print of the drawings.

Total framed print=Small print+Medium print+Large print+Extra large print

=23+264+188+42

=517

Unframed print:

Small=152

Medium=544

Large=496

Extra large=81

Total unframed print=Small+Medium+large+extra large

=152+544+496+81

=1273.

Hence there are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

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Answer:

most likely arithmetic sequence

Step-by-step explanation:

An arithmetic sequence is one where each term has a common difference with the term before it.

In this sequence:

14, 22, 29, 36 ...

the common difference is intended to be 7:

22 + 7 = 29,

29 + 7 = 36,

etc.

So, we can add 7 to any term in the sequence to solve for the next term.

However, there is a problem with the given sequence in that 14 + 7 = 21, not 22. Most likely this is a mistake by the problem writer.

Answer:

x = 10

Step-by-step explanation:

Solve for x

\(-2+\frac{4}{5}x=6\)

First thing we need to do is subtract -2 on both sides

\(\frac{4}{5}x=8\)

Divide by \(\frac{4}{5}\)

\(x=10\)

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5