The sum of the least and greatest of 3 consecutive even numbers is 84. Find the numbers.

The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.

The volume of the building will be calculated by the formula -

Volume = length × breadth × height

Thus, keeping the value of each component of building in the formula to find the volume of the building.

Volume of building = 255 × 255 × 42

Performing multiplication on Right Hand Side of the equation to find the value of volume

Volume of building = 2,731,050 feet³

Therefore, the volume of the building is 2,731,050 feet³.

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well, we know the downpayment is 20%, so 100% - 20% = 80%, that's the remaining amount, which we know is 14000 bucks, let's say the 20% is really "x" bucks, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 14000 & 80\\ x& 20 \end{array} \implies \cfrac{14000}{x}~~=~~\cfrac{80}{20} \\\\\\ \cfrac{ 14000 }{ x } ~~=~~ 4\implies 14000=4x\implies \cfrac{14000}{4}=x\implies 3500=x[/tex]

True, equivalent systems of linear equations always have the same number of variables (you can never reduce the number of variables and keep an equivalent system).

If a system of m linear equations in n variables is equivalent to a system of p linear equations in q variables, then m = p is true then.

Number of variables = number of columns in the matrix.

Cramer's rule is one of the important methods applied to solve a system of equations. In this method, the values of the variables in the system are to be calculated using the determinants of matrices. Thus, Cramer's rule is also known as the determinant method.

Cramer's rule can only be applies if

1.the number of equations in the linear system equals the number of variables i.e m = n.

2.the determinant of the coefficient matrix is non zero.

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The given argument is invalid by giving values for the predicates p and q over the domain = But both P(a) = p(b) = f There doesn’t exist any x, such that p(x) is true

What is Values?

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value. For illustration: If we take 45 into account. Here, the fourth digit is in the tens column.

Given,

fx( p(x) – a(x))

f.(p(x))

fx (a(x))

Let p(a)=T

P(b) = F

And a(a) = T

A(b) = T

So, p(a)=a(a)

=T

P(a) – a(b)

= T

And p(b)=T

So, f.(p(x)-a(x))

Fx(p(x))are T

But we have a (a) + A(b) =T

So, there doesn’t exist any x, such that (x) is true

Hence fX (a(x)) Doesn’t follow from the given statement.

This argument is include

b) fx(p(x) v a(x))

fx (a(x))

fx p(x)

Let P(a) = F

P(b) = F

And a(a) = F

A(b) = T

So, p(b) v a(b) = T

A(a) = F

= ft((x))

But both P(a) = p(b)

= f There doesn’t exist any x, such that p(x) is true

Hence fx p(x)) Dose’t follow from the given statements.

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Sample size of 385 should be taken. Rounding up to the next whole number, the required sample size would be 385. So, in order to provide a 95% confidence interval with a margin of error of 0.1 for the population proportion of 0.25, a sample size of 385 should be taken.

We can use the formula:

n = (Z^2 * p * (1-p)) / E^2

where:

Z is the z-score corresponding to the desired confidence level (for 95% confidence, Z = 1.96)

p is the estimated population proportion (p = 0.25)

E is the desired margin of error (E = 0.1)

Plugging in the values:

n = (1.96^2 * 0.25 * (1 - 0.25)) / 0.1^2

n = 384.16

we are attempting to gauge the populace extent with a room for mistakes of 0.1 and a certainty level of 95%.

To find the example size we want, we utilize an equation that considers the assessed populace extent (0.25), the ideal safety buffer (0.1), and the certainty level (95%). The recipe gives us a number that we gather together to the closest entire number. For this situation, the recipe lets us know that we want to test 385 individuals.

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The answer is the function f(x) has a higher y-intercept, the correct option is A.

A straight line of the form

y = mx + c

has its slope as 'm'

It is constant for a line. The more the slope is, the steeper the line is.

Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have negative slope. Horizontal line has 0 slope and vertical line has infinite slope, as it is now at maximum steepness.

Given;

f(x) = −2x − 1 x

g(x) 2 2 4 6 6 10

Now by comparing the function to the slope-intercept form of a line we get;

The y-intercept of function f(x) is; -1

Also, the table for the function g(x) is given by;

        x           g(x)

        2            2

        4            6

        6           10

The function g(x) satisfies the equation;

g(x)= 2x-2

The y-intercept of the function g(x) is; -2

We know that:

 -1 > -2

Therefore, the slope answer will be f(x) is higher than the y-intercept of the function g(x).

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149.190781 decibels are emitted from a jet plane with a sound intensity of 8.3 x 102 watts per square meter.

The given formula is:

D = 10 log ([tex]I[/tex] / [tex]I_{0}[/tex])

The intensity of the sound emitted by the jet plane is (I) :

8.3 x 102 watts per square meter

The lowest level of sound that the average person can hear [tex]I_{0}[/tex] :

[tex]10^{-12}[/tex]

Therefore, the intensity of the sound emitted from the given jet plane:

D = 10 log (8.3 x [tex]10^{2}[/tex] / [tex]10^{-12}[/tex])

  = 10 log (8.3 x [tex]10^{2}[/tex] x [tex]10^{12}[/tex] )

  = 10 log (8.3 x [tex]10^{14}[/tex])

  = 10 (log 8.3 + log [tex]10^{14}[/tex])                    (since log (a x b) = log a + log b)

  = 10 (0.9190781 + 14 log 10)             (log 10 = 1)

  = 10 (0.9190781 + 14)

  = 149.9190781  

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The difference between the amount of dough they use to make pizza and the amount of dirty use to make roll is 4.25 ounce. The result is obtained by using calculations in fractions.

Fraction represents the part of a set of objects. It has two parts separated by a dividing line, namely numerator at the top and denominator at the bottom.

For example:

It means one of four parts and two of five parts.

Annabelle and Eric made 17 ounce of pizza dough.

Find the difference between the amount of dough they use to make pizza and the amount of dirty use to make roll!

To make pizza, the pizza dough they use is

= 5/8 × 17 ounce

= 85/8 ounce

= 10.625 ounce

To make roll, the pizza dough they use is

= 17 - 10.625 ounce

= 6.375 ounce

The difference amount of the usage is

= dough to make pizza - dough to make roll

= 10.625 ounce - 6.375 ounce

= 4.25 ounce

Hence, the difference amount of dough to make pizza and dough to make roll is 4.25 ounce.

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The missing side of Right triangle will be 9.8.

Angles in trigonometry are those determined by the ratios of the trigonometric functions. In trigonometry, the relationship between a triangle's angles and sides is studied. The angle value is between 0 and 360 degrees. Angles 0°, 30°, 45°, 60°, 90°, 180°, 270°, and 360° are significant in trigonometry.

A subfield of mathematics called trigonometry is concerned with the study of triangles. It is sometimes known by the colloquial term "trig." In trigonometry, mathematicians look at how triangles' sides and angles relate to one another.

We have,

Hypotenuse = 18 cm

Perpendicular = x cm

One of the angle = 33°

Using the Trigonometric angles,

[tex]$${Sin 33^{\circ}=\frac{\text { Perpendicular }}{\text { Hypotenuse }}$[/tex]

substitute the values in the above equation, we get

So, [tex]$${Sin} 33^0=\frac{x}{18}$[/tex]

simplifying the equation, we get

[tex]$$x=18 Sin 33^0$[/tex]

x = 9.8

The missing side is 9.8.

Therefore, the missing side of Right triangle will be 9.8.

The complete question is:

Find the missing side. Round to the nearest tenth.

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Based on the information above, the average temperature for New York City would be 61 or 65.

To find the average temperature of New York we must find the average of the temperatures recorded in each month. Here is the mathematical procedure:

To find the median we must organize the data from the smallest to the largest and identify the value or values that are located in the middle, then the median would be: 61 or 65.

According to the above, the average temperature would be 61° or 65°.

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It is true that r packages include sample datasets. They also include reusable r functions and documentation about how to use the functions.

The r packages do contain reusable r functions and documentation about how to use the functions. Not only that but they also include the sample data sets and provide tests for checking the code that we have generated.

The r packages are distributed with fifteen base packages that include grid, method, compilers, base, datasets, tools, splines, graphics, stats, stats4, translations, utils, grDevices, parallel, and tcltk.

These r packages introduce simpler ways of the r code distribution and documentation.

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Answer:

c < a < b < d

Step-by-step explanation:

a) 25000 x 280, c'est 7000000
ou 7 * 10^6

b) 30000 x 850, c'est 25500000
ou 25.5 * 10^6

c) 72000 x 90, c'est 6480000
ou 6.48 * 10^6

d) 330 x 850,000, c'est 280500000
ou 280.5 * 10^6

On peut dire que l'ordre croissant est:
6.48 * 10^6 < 7 * 10^6 < 25.5 * 10^6 < 280.5 * 10^6

∴ c < a < b < d

Voilà

Answer:

30 i believe

Step-by-step explanation:

how can do braily app use

Answer:

Below

Step-by-step explanation:

a)   1/2^n   will show how much remains after 'n' halflives

95 % = .95

.95 = 1/2^n    log both sides to find n = .07400058

          so 10 days is .07400058 half lives

               10 / .0740058 = half life = 135.1 days

b)     .15 = 1/2^n   shows   n = 2.736 halflives

        2.736 halflives * 135.1 days/halflife = 369.8 days

The solutions are,  P= 2,3,5,7,11,13,17,19 & Q= 1,3,5,7,9

when, P=(prime numbers less than 20) and Q=(odd numbers less than 10)

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

P=(prime numbers less than 20)

and Q=(odd numbers less than 10)

so, P= 2,3,5,7,11,13,17,19

as, A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Numbers that have more than two factors are called composite numbers.

now,

Q= 1,3,5,7,9

as, Odd numbers are whole numbers that cannot be divided exactly into pairs. Odd numbers, when divided by 2, leave a remainder of 1. 1, 3, 5, 7, 9, 11, 13, 15 … are sequential odd numbers.

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Sums of terms with the pattern k.[tex]x^{n}[/tex]—where k is any positive integer and n is an arbitrary number—are known as polynomials. A polynomial is something like 3x+2x-5.

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Given the question:

7t+10(5t+5)-10

First, distribute:

7t+50t+50-10

Next, combine like terms (7t+50t and 50-10)

57t+40

This cannot be simplified further.

The formula to determine the  density of a liquid with cubes, a meterstick and stopwatch is density of the liquid = mass / volume = 2.7 g / (volume of liquid displaced by the cube)

Density is a measure of how much mass is contained in a given volume of a material. In order to determine the density of a liquid, you will need three things: cubes, a meterstick, and a stopwatch.

First, gather your materials and select a cube of known dimensions. Place the cube on the surface of the liquid and start the stopwatch. Observe how long it takes for the cube to sink to the bottom of the container. Let's call this time t.

Next, use the meterstick to measure the height of the liquid in the container

With these two pieces of information, you can calculate the density of the liquid using the formula:

=> density = mass / volume

The mass of the cube can be calculated as:

=> mass = volume * density of the cube

where the volume of the cube is given by

=> volume = s³, where s is the length of one side.

Since we know the length of one side (s = 1 cm), the volume of the cube is 1 cm³.

The density of the cube can be assumed to be a constant value (for example, if the cube is made of aluminum, the density is approximately 2.7 g/cm³).

So,

=> mass = volume * density of the cube = 1 cm³ * 2.7 g/cm³ = 2.7 g.

The volume of the liquid displaced by the cube can be calculated as:

volume = mass / density of the liquid = mass / (h/t²)

where h/t² is the acceleration due to gravity.

Finally,

density of the liquid = mass / volume = 2.7 g / (volume of liquid displaced by the cube)

Complete Question:

Determine the density of an unknown liquid with only a meterstick, stopwatch, and cubes that sink.

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The probability that it takes three rolls until the player rolls doubles is 25/216.

The probability of rolling doubles with one roll of two fair six-sided dice is 1/6.

The probability of an event is nothing but a number between 0 and 1, where zero shows the impossibility, and one shows the certainty.

First, determine the probability of rolls to obtain doubles in each roll.

Fails in the first roll:

P = 1 - 1/6 = 5/6

Fails in the second roll:

P = 1 - 1/6 = 5/6

In the third roll, the player rolls doubles, that is,

p = 1/6

Now, the probability of requiring 3 rolls until getting doubles will be:

= 5/6 × 5/6 × 1/6

= 25/216

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a) The data in ascending Order; -83/4 < -67/4 < -62/4 < -1/4.

b) Sea Grass is the furthest the Surface of water.

Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.

Given that -20 3/4, -15 1/2, -14 3/4, -1/4

Now, the above fraction into Normal fraction;

-83/4, -31/2, -67/4, -1/4.

Now, Arranging the data in ascending Order;

-83/4 < -67/4 < -62/4 < -1/4.

b) Since Sea Grass is the furthest below the Surface of water.

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The required height of the triangle for 3 units base is 3.16 units.

If a right triangle's height and hypotenuse are all that are known, we must first determine the base using the Pythagoras theorem before determining the triangle's area. After that, we may calculate its area using the formula 1/2 base height.

We have,

Area of triangle = 4(3/4)square units., Base = 3 units.

= 19/4 square units.

We know that

Area = bh/2

19/4 = (3)h/2

h = 19/6

h = 3.16 units

Thus, required height is 3.16 units.

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The inequality for the model of the situation is 200 ≤ 5x + 7y.

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the answer of a linear inequality is the ordered pair that resolves all inequalities in the system.

Given that, let x be the pounds of nails and let y be the dozens of screws.

The equation for, nails for $5 per pound is given as:

5x

The equation for, screws for $7 per dozen is given as:

7y

If their budget is at most $200, then the inequality representing the nails and the screws is:

200 ≤ 5x + 7y

Hence, the inequality for the model of the situation is 200 ≤ 5x + 7y.

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Answer:

t/sin T = r/sin R

where T and R are the measures of the opposite angles of t and r, respectively.

First, we need to find the measures of T and R in radians:

T = 48° * pi/180 = pi/4

R = 37° * pi/180 = 37 * pi/180

Next, we can use these values in the formula:

t/sin T = r/sin R

t = r * sin T / sin R

t = 71 * sin(pi/4) / sin(37 * pi/180)

Using a calculator, we can estimate t to the nearest 10th of a centimeter:

t ≈ 107.9 cm

So the length of t is approximately 107.9 cm to the nearest 10th of a centimeter.

Answer:87.7

Step-by-step explanation:

Step-by-step explanation:

It's a the second one pick the second one

The number of variables you have recorded for each of the 243 used cars in an online car dealership is 4.

A variable is a characteristic or attribute of an object or a set of objects that can be measured or recorded. In this case, you have recorded the age, paint color, engine size, and cost of each of the 243 used cars. Each of these characteristics represents a separate variable.

For example, the age of a car is a variable that can be measured or recorded, and it provides information about the car's history and how long it has been in use. The paint color, engine size, and cost of each car are also variables that can be recorded, and they provide additional information about each car's unique characteristics.

In total, you have recorded 4 different variables for each of the 243 used cars, so the number of variables is 4.

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The second table has the points:

f(2) = 0

f(2) = 1

So it isn't even a function, that is the correct option.

Here we have the graph of function x = f(x), where the values of x are shown on the horizontal axis and the values of f(x) ares hown on the vertical axis.

Something that you can see, is that when x = 0 (leftmost value) we have:

f(0) = 2.

So every table should have that, but if we look tat the second option we can see that:

f(2) = 0

f(2) = 1

So that table has tw different values for x = 2 (so it does not even represent a function). So that is the correct option.

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Answer:

25

Step-by-step explanation:

DAB＝180-CBA

＝180-155

＝25

pls give brainliest if correct

Answer:

[tex]\angle DAB=25 \textdegree[/tex]

Step-by-step explanation:

We can use the Sum of Interior Angles formula to help us evaluate the size of angle DAB.

The formula for the Sum of Interior Angles is

[tex](n-2)*180[/tex]

where [tex]n[/tex] is the number of sides.

In this example we have 4 sides.

[tex](4-2)*180\textdegree\\2*180\textdegree=360\textdegree[/tex]

So the sum of all the interior angles in this shape must add up to 360°.

We are given 2 right angles and 1 additional angle. There are 4 angles total. Since we are given 3 we can evaluate the value of the 4th angle.

[tex]\angle A +\angle B +\angle C+\angle D=360 \textdegree[/tex]

[tex]360 \textdegree-\angle B -\angle C-\angle D=\angle A[/tex]

[tex]360\textdegree-90\textdegree-90\textdegree-155\textdegree=25\textdegree[/tex]

The amount the college senior will have to pay in one year, given the interest charge and the amount paid, is $ 1, 408. 80

To find the amount, you need to use the future value formula. This would show the amount the college senior would pay in a year given what they spent on the credit card.

The monthly rate is:

= 25 % / 12

= 25 / 12 %

The amount the college senior will pay is:

= 1, 100 x ( 1 + 25 / 12 % ) ¹²

= $ 1, 408. 80

Note : The brackets are raised to the power of 12 because of the number of months in a year which is the amount of time till the college senior pays back.

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