how to get the volume of a rectangular pyramid

The equation can be represented by 6¹/₁₂  -  6¹/₁₂  = 0. The correct option is A.

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

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 1 whole fraction strip is shown with a 1 indicated on it. Below it and to the left are 6 smaller fraction strips that are each one-twelfth the width of the whole.

Another 6 fraction strips of the same size are shown further down below the image. These 6 one-twelfth-inch strips have an arrow that points from the location directly beside the first 6 one-twelfth strips.

The equation for the strip can be written as:-

6¹/₁₂  -  6¹/₁₂  = 0

The correct option would be A.

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The required standard deviation of the given data is 54.6.

To find the sample standard deviation for the weights of the offensive linemen, we first need to calculate the mean of the sample and then use that to find the variance and standard deviation.

Mean:

The mean (μ) is the sum of all the values in the sample divided by the number of values in the sample. In this case, the mean is:

(359 + 297 + 350 + 254 + 312 + 250 + 359 + 253 + 254 + 326 + 254 + 331) / 12 = 298.75

Variance:

The variance (σ²) is a measure of the spread of the data. It is calculated as the sum of the squared deviations of each value from the mean divided by the sample size minus one. In this case, the variance is:

( (359 - 298.75)² + (297 - 298.75)² + (350 - 298.75)² + (254 - 298.75)² + (312 - 298.75)² + (250 - 298.75)² + (359 - 298.75)² + (253 - 298.75)² + (254 - 298.75)² + (326 - 298.75)² + (254 - 298.75)² + (331 - 298.75)² ) / (12 - 1) = 2987.5

Standard Deviation:

The standard deviation (σ) is the square root of the variance. In this case, the standard deviation is:

√2987.5 = 54.59

Therefore, the sample standard deviation of the weights of the offensive linemen is 54.59 pounds.

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21% of the total recommended daily amount of sodium is in this can of soup?

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

The recommended daily amount of sodium is 2550 mg. One can of wild rice soup contains 535.5 mg of sodium. Hence:

Percentage of sodium in can = (535.5/2550) * 100% = 21%

There is 21% of sodium in can

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The expression of the given word phrase 1.3 billion using numbers is; 1,300,000,000.

It follows from the task content that the concept described in the given word phrase is to be represented by a number.

On this note, since the number in discuss is; 1.3 billion where a billion represents; 1 × 10⁹.

Hence, 1.3 billion represents; 1.3 × 10⁹.

= 1,300,000,000.

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Step-by-step explanation:

By the question,

y = 4×6^t

So let y be 568,

568 = 4× 6^t

or, 6^t = 142

t =

[tex] log_{6}(142) [/tex]

Approximately,

[tex] log_{6}(142) [/tex]

weeks it takes for the infected people to be 568.

The following inequalities are,

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

We have to write three different inequalities,

In which, the solution is x greater than -10

1. It can be represented as,

x > -10

2. One on left hand side, so it is further modified as,

-10 < x

3. writing with greater equal to sign, but that x can never be equal to -10, only be greater than it

So, it can be written as

x ≥ -9.999...

Thus, three inequalities are respectively, x > -10,   -10 < x,   x ≥ -9.999...

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Answer:

you have find if its proportianal for e thats all I know tho sorry

$25 per hour, is their hourly rate of pay.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Net pay= $1300

Deductions= $200

Hours worked= 60

then,

Total pay=$1300+ $200

               = $1500.

Since her net pay is the money left after deductions, so we add the netpay and deductions to get her total pay.

Therefore, to find her hourly pay, we simply divide the total pay by the hours worked,

so we have 1500/60= $25/hour

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Answer:

90000000000

Step-by-step explanation:

3*1 plus 8 zeros

*

3*1 plus 2 zeros

so 300000000 * 300=

90000000000

the fractions with the same denominator will be 14/16 and 13/16.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

The given fraction is given are 7/8 and 13/16.

Taking lcm of the denominator will be 16

So the fraction will be 7*2 = 14

So the fractions will be 14/16 and 13/16.

Hence the fractions with the same denominator will be 14/16 and 13/16.

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The number of 1/4 that can be found in 5/7 will be 2 6/7

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

The number of 1/4 that can be found on 5/7 will be:

= 5/7 ÷ 1/4

= 5/7 × 4

= 20/7

= 2 6/7

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Answer: In a triangle, the medians divide the triangle into six smaller triangles with equal area. This can be proven using the fact that the medians of a triangle are concurrent, meaning they all intersect at a single point called the centroid.

Let's assume that AD = 2BE, then the area of △ADG is equal to four times the area of △BEG. This can be expressed as follows:

Area(△ADG) = 4 * Area(△BEG)

Since GD is one of the medians, it must be equal to one-third of AD. So, we can write:

GD = AD/3

Since the area of △ADG is equal to four times the area of △BEG, we can write:

Area(△ADG) = 4 * Area(△BEG)

(2BE)^2/2 * GD / 2 = 4 * BE^2/2 * EG / 2

Expanding and simplifying the above equation gives us:

BE^2 * GD / 2 = 4 * BE^2/2 * EG / 2

And, finally, dividing both sides of the equation by BE^2/2, we get:

GD = 1/3 * AD

This result holds true regardless of the relative lengths of AD and BE. Hence, the conclusion that GD = 1/3 AD is always true for any triangle △ABC where AD and BE are medians.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sum of the interior and the exterior angle must be 180°.

7g + 12 + 2g + 60 = 180

9g + 72 = 180

9g = 108

g = 12

interior angle = 7×12 + 12 = 96°

exterior angle = 2×12 + 60 = 84°

Answer:

187.5 Calories

Step-by-step explanation:

We start by multiplying 12 x 2 to get 24 which is equal to a total of 180 calories, therefore we have to subtract 32-24 to get 8oz left, we then divide 90 by 12 to get 7.5 calories which we add to the 180 from before to get a total of 187.5 Calories.

Hi There! Here's your answer:

To make it easier, let's write this in fraction form:

[tex]\frac{2.4}{0.75}[/tex]

Now, multiply the numerator and denominator by 100 to remove the decimal point.

[tex]\frac{2.4}{0.75}[/tex] × [tex]\frac{100}{100}[/tex] = [tex]\frac{240}{75}[/tex]

Now, you can either divide using long division, or you can take out common factors and simplify the fraction that way.

Upon common factor simplification, we get the final fraction to be:

[tex]\frac{240}{75}[/tex] = [tex]\frac{48}{15}[/tex] (Common factor 5) = [tex]\frac{16}{5}[/tex] (Common factor 3)

Therefore, we get the final fraction as [tex]\frac{16}{5}[/tex] which is 3.2.

HOPE IT HELPS!

Answer:  a. To find f(-2), substitute -2 for x in the function f(x):

f(-2) = 3(-2)² - 2(-2) + 4 = 3(4) - 2(-2) + 4 = 12 - (-4) + 4 = 16

So, f(-2) = 16.

b. To find f(k+1), substitute (k+1) for x in the function f(x):

f(k+1) = 3(k+1)² - 2(k+1) + 4 = 3k² + 6k + 3 - 2k - 2 + 4 = 3k² + 4k + 5

So, f(k+1) = 3k² + 4k + 5.

Step-by-step explanation:

Correct Answer:

x(t) = 9cos(t)

y(t) = 9sin(t)

z(t) = 54sin(t)cos(t)

What is the parametric equation?

The parametric equation of a curve is a representation of the curve in terms of one or more independent variables (known as parameters), usually represented as t. Each parameter value t corresponds to a unique point (x, y, z) on the curve.

For the given curve, the intersection of the cylinder x²  + y² = 81 and the surface z = 6xy can be found by setting the equation of the cylinder equal to the equation of the surface and solving for x, y, and z in terms of a single parameter t.

Starting with the cylinder: x²  + y² = 81, we can parameterize x and y as follows:

x(t) = 9cos(t)

y(t) = 9sin(t)

Substituting these expressions into the equation of the surface:

z(t) = 6x(t)y(t) = 6 * 9cos(t) * 9sin(t) = 54sin(t)cos(t)

So, the parametric equations of the curve given by the intersection of the cylinder x² + y² = 81 and the surface z = 6xy are:

x(t) = 9cos(t)

y(t) = 9sin(t)

z(t) = 54sin(t)cos(t)

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Answer:

27

a 43.56 inches

b 287.496 inches

28

Answer:

Step-by-step explanation:

Just plug in the x-intercept to find the y-intercepts. Slope is y2-y1/x2-x1, so just take any 2 y-intercepts and any 2 x intercepts to find the slope.

Answer:

25

Step-by-step explanation:

(f+g)(x) also stated as f(x)+g(x)

2x²+3x-2

where x=3

2(3)²+3(3)-2

2(9)+9-2

18+7

25

Answer:

4π

Step-by-step explanation:

The Period, as measured from crest-to-crest (or from trough-to-trough), is 4π, as read directly from the graph

The value of [tex]$(2 x-3 y)^7$$[/tex] be

[tex]$=128x^7-1344 x^6 y+6048 x^5 y^2-15120 x^4 y^3+22680 x^3 y^4-20412 x^2 y^5+10206 x y^6-2187 y^7$[/tex]

The binomial theorem states that the nth power of the sum of two numbers a and b may be written as the sum of n + 1 terms of the form for every positive integer n. Starting with n, the powers on a decrease until the final term, when the power is 0.

Statistical and probability analyses make extensive use of the binomial theorem. Because statistical and probability analyses are so important to our economy, it is quite helpful. The Binomial Theorem is used to locate equations' roots in higher powers in advanced mathematics and computation.

Let the equation be [tex]$(2 x-3 y)^7$$[/tex]

Apply binomial theorem: [tex]$(a+b)^n=\sum_{i=0}^n\left(\begin{array}{c}n \\ i\end{array}\right) a^{(n-i)} b^i$[/tex].

[tex]$$\begin{aligned}& a=2 x, b=-3 y \\& =\sum_{i=0}^7\left(\begin{array}{l}7 \\i\end{array}\right)(2 x)^{(7-i)}(-3 y)^i\end{aligned}[/tex]

substitute the values in the above equation, we get

[tex]$=\frac{7 !}{0 !(7-0) !}(2 x)^7(-3 y)^0+\frac{7 !}{1 !(7-1) !}(2 x)^6(-3 y)^1+\frac{7 !}{2 !(7-2) !}(2 x)^5(-3 y)^2+$[/tex][tex]$\frac{7 !}{3 !(7-3) !}(2 x)^4(-3 y)^3+\frac{7 !}{4 !(7-4) !}(2 x)^3(-3 y)^4+\frac{7 !}{5 !(7-5) !}(2 x)^2(-3 y)^5+$[/tex][tex]$\frac{7 !}{6 !(7-6) !}(2 x)^1(-3 y)^6+\frac{7}{7 !(7-7) !}(2 x)^0(-3 y)^7$[/tex]

simplifying the above equation, we get

[tex]$\begin{array}{ll}\frac{7 !}{0 !(7-0) !}(2 x)^7(-3 y)^0= & 128 x^7 \\ \\ \frac{7 !}{1 !(7-1) !}(2 x)^6(-3 y)^1= & -1344 x^6 y \\ \\ \frac{7 !}{2 !(7-2) !}(2 x)^5(-3 y)^2 = & 6048 x^5 y^2 \\ \\ \frac{7 !}{3 !(7-3) !}(2 x)^4(-3 y)^3= & -15120 x^4 y^3 \\ \\ \frac{7 !}{4 !(7-4) !}(2 x)^3(-3 y)^4= & 22680 x^3 y^4 \\ \\ \frac{7 !}{5 !(7-5) !}(2 x)^2(-3 y)^5= & -20412 x^2 y^5 \\ \\ \frac{7 !}{6 !(7-6) !}(2 x)^1(-3 y)^6 = & 10206 x y^6 \\ \\ \frac{7 !}{7 !(7-7) !}(2 x)^0(-3 y)^7 = & -2187 y^7\end{array}$[/tex]

Therefore, the value of [tex]$(2 x-3 y)^7$$[/tex] be

[tex]$=128x^7-1344 x^6 y+6048 x^5 y^2-15120 x^4 y^3+22680 x^3 y^4-20412 x^2 y^5+10206 x y^6-2187 y^7$[/tex]

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Answer:

The expression can be solved using algebraic methods. The result is -(2^7)z^2y^3.

Step-by-step explanation:

The solution to the equation 4/(9)((3/2)z^2y^3)^5 is y^15z^10. This can be solved by using the steps of algebraic manipulation. First, the parentheses can be simplified by multiplying the numerator and denominator together, resulting in 4/27z^2y^3. Then, the exponent can be applied to both terms, resulting in y^15z^10. Finally, this answer can be checked by substituting it into the original equation and verifying that it is true.

Answer: You will find tan 56 degrees 18 minutes (approx) = 1.5 ... It's generally agreed that the principal value of tan inverse should lie between -90 and +90 ...

Step-by-step explanation:

Answer: A linear function is one whose graph is a straight line. Given the linear function B(t) = 45422 + 34.26t, its inverse function can be found by switching the places of x and y and then solving for y.

The inverse function, written in function notation, can be represented as:

B^(-1)(t) = (1/34.26)(t - 45422)

So the inverse of the linear model B(t) = 45422 + 34.26t can be written as B^(-1)(t) = (1/34.26)(t - 45422) in function notation.

Step-by-step explanation:

The sentence which show correct verb tense usage is The overall outlook is favorable.

Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.

Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.

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After the shutdown, the hospital will maintain 126 acute hospital beds available for usage.

Hospitals are classified as general, specialist, or government facilities by the source of their funding. In a medical center, nursing education and patient care are both integrated. A care facility which is smaller than a hospital is called a clinic.

If 28% of the hospital's acute card beds are going to ever be closed, that leaves 100% - 28% = 72% of such beds available for utilization.

72% of 175 beds = 0.72 x 175 = 126 beds

As a result, following the shutdown, the hospital will still have 126 basic card beds available for usage.

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The required methods we can use to assess whether the x distribution is normal is mentioned in (a) and (b). Options (A) and (B ) are correct

Normal distributions can be altered to standard normal distributions by the formula:

Z = (X - μ)/σ

Where x is a value from the initial normal distribution, μ is the mean of the initial normal distribution, and σ is the standard deviation of the initial normal distribution. The standard normal distribution is periodically called the z distribution.

Here,
The methods to assess whether the x distribution is normal are:

a) Look at a normal quantile plot to check for a straight line.

b) Use a histogram or boxplot to check for symmetry and outliers.

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The height of the mountain above the level plain is 4465.2 feet

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Trigonometric ratio is used to show the relationship between the sides and angles of a right triangle.

Let h represent the height of the mountain. Let d represent the distance from the plain to the mountain base

Using trigonometric ratio:

tan(32) = h/d

h = d * tan(32)

Also:

tan(36) = h / (d - 1000)

h = (d - 1000) * tan(36)

Equating:

d * tan(32) = (d - 1000) * tan(36)

d = 7145.9 feet

h = d * tan(32) = 7145.9 * tan(32) = 4465.2 feet

The height of the mountain is 4465.2 feet

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