A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2. What is the volume of the pyramid?

To calculate the total amount accrued when you deposit the money in an account that earns compound interest you have to use the following formula

A: amount accrued

P: principal amount

t: time, years

r: interest rate, expresed as a decimal value

n: number of coumpound periods

For this exericse

The principal amount is P=$1000

The time is t= 9 years

The interest rate is 9%/100=0.09

The compounding periods are 12/year (the interest is compounded monthly) so for the 9 year time period is 9*12=108

Answer:

16.0(?)

Step-by-step explanation:

I’m not really sure if it’s correct. But I’m assume it’s correct.

Answer:

x= 8, z= 118

Step-by-step explanation:

To find x, solve the equation with the one unknown x given by supplementary angles definition.

Supplementary angles sum up to 180° there for

8x +54 + 7x +6 = 180, group like terms

8x + 7x = 180 -54-6, combine like terms

15x = 120, divide both sides by 15

x = 8

To find z, solve for z the equation given by vertical angles definition.

Vertical angles are congruent there for

8x +54 = z, substitute x for 8

8·8 +54 = z, multiply then add

z = 118

Based on the definition of supplementary angles, x = 8; z = 118

Based on the definition of supplementary angles we have:

7x + 6 + 8x + 54 = 180

Solve for x

15x + 60 = 180

15x = 180 - 60

15x = 120

x = 120/15

x = 8

z = 8x + 54 (vertical angles)

Plug in the value of x

z = 8(8) + 54

z = 118

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Answer:

congruent by side angle side so the triangle is congruent

Answer:Use the model to t = predict the population of each country in 2030.

Step-by-step explanation:

The solution to the system of equations is x = 8/3 and y = 41/43.

To find the solution for the given system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Given equations:

3x + 2y = 22 ---(1)

-x + 15y = 21 ---(2)

To eliminate one variable, we can multiply equation (2) by 3 and equation (1) by -1, then add the resulting equations:

-3x + 45y = 63 ---(3) (multiplying equation (2) by 3)

-3x - 2y = -22 ---(4) (multiplying equation (1) by -1)

Adding equations (3) and (4) eliminates the x variable:

43y = 41

Dividing both sides by 43 gives us:

y = 41/43

Now we can substitute this value of y into either equation (1) or (2). Let's use equation (1):

3x + 2(41/43) = 22

Multiplying both sides by 43 to eliminate the fraction:

129x + 82 = 946

Subtracting 82 from both sides:

129x = 864

Dividing both sides by 129:

x = 864/129

Simplifying:

x = 8/3

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A parallelogram is a quadrilateral with four sides. The opposite sides of the parallelogram are equal and parallel.

The parallelogram is a quadrilateral with equal and parallel sides, such that the interior angles present on the same side of the transversal are supplementary.

The sum of supplementary angles is equal to 180-degrees. From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.

From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.

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Answer:

D    Supplementary   BC    D

Step-by-step explanation:

did on edgu 2022 !!

Answer:

x = 5

Step-by-step explanation:

\( \frac{15}{4x} = \frac{12}{3x + 1} \)

\(15(3x + 1) = 12(4x)\)

\(45x + 15 = 48x\)

\(3x = 15\)

\(x = 5\)

Answer:

\(x = 5\)

Step-by-step explanation:

We can solve for x using a proportion, since we are given that the two right triangles are similar. Here is the proportion modeled in an equation:

\(\dfrac{3x+1}{12} = \dfrac{4x}{12 + 3}\)

We can solve for x by algebraically manipulating this equation.

↓ simplifying the right fraction's denominator

\(\dfrac{3x+1}{12} = \dfrac{4x}{15}\)

↓ cross-multiplying

\(15(3x+1)= 12(4x)\)

↓ applying the distributive property

\(45x + 15 = 48x\)

↓ subtracting \(45x\) from both sides

\(15 = 3x\)

↓ dividing both sides by 3

\(5 = x\)

\(\boxed{x = 5}\)

Answer: I believe it's B, but im not sure.

Step-by-step explanation:

Step-by-step explanation:

How to solve your problem

(x+5)=x

Solve

1

Subtract

5

from both sides

x+5=x

x+5

2

Simplify

Subtract the numbers

x=x-5

3

Subtract

x

from both sides

x=x-5

Simplify

Combine like terms

Combine like terms

0=-5

Result

0=-5

The input is a contradiction: it has no solutions

Answer:

x=x-5 or 0=-5

Step-by-step explanation:

subtract 5 from both sides

Answer:

\(8 - \frac{15}{x}\)  

I hope this helps!

Answer:

8 - 15/x

Step-by-step explanation:

Quotient =

\(\frac{15}{x}\)

So 8 minus the quotient of 15 and x equals

\(8-\frac{15}{x}\)

The probability value of (m, n) is (1, 2^1005).

Let n be a positive odd integer. We are asked to find the probability that its reciprocal gives a terminating decimal. This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.

If n is less than 2010, then its only possible prime factors are 3, 7, 11, ..., 2009, since all primes greater than 2009 are greater than n. We want n to have no prime factors other than 2 and 5. There are 1005 odd integers less than 2010.

We want to count how many of these have no odd prime factors other than 3, 7, 11, ..., 2009. This is equivalent to counting how many subsets there are of {3, 7, 11, ..., 2009}. There are 1004 primes greater than 2 and less than 2010. Each of these primes is either in a subset or not in a subset. Thus, there are 2^1004 subsets of {3, 7, 11, ..., 2009}, including the empty set.

Thus, the probability is:

P = (number of subsets with no odd primes other than 3, 7, 11, ..., 2009) / 2^1004

We can count this number using the inclusion-exclusion principle. Let S be the set of odd integers less than 2010. Let Pi be the set of odd integers in S that are divisible by the prime pi, where pi is a prime greater than 2 and less than 2010. Let Pi,j be the set of odd integers in S that are divisible by both pi and pj, where i < j.

Then, the number of odd integers in S that have no prime factors other than 2 and 5 is:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...|

where the union is taken over all sets of primes with at least one element and less than or equal to 1005 elements.

By the inclusion-exclusion principle:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...| = ∑ (-1)^k ⋅ (∑ |Pi1,i2,...,ik|)

where the outer summation is from k = 0 to 1005, and the inner summation is taken over all combinations of primes with k elements.

This simplifies to:

(1/2) ⋅ (2^1004 + (-1)^1005)

Thus, the probability is: P = (1/2^1004) ⋅ (1/2) ⋅ (2^1004 + (-1)^1005) = 1/2 + 1/2^1005. Hence, (m, n) = (1, 2^1005).

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Complete question:

If m/n is the probability that the reciprocal of a randomly selected positive odd integer less than 2010 gives a terminating decimal, with m and n being relatively prime positive integers. what is probability value of m and n?

The probability value of (m, n) is (1, 2^1005).This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.

Let n be a positive odd integer. We are asked to find the probability that its reciprocal gives a terminating decimal. This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.

If n is less than 2010, then its only possible prime factors are 3, 7, 11, ..., 2009, since all primes greater than 2009 are greater than n. We want n to have no prime factors other than 2 and 5. There are 1005 odd integers less than 2010.

We want to count how many of these have no odd prime factors other than 3, 7, 11, ..., 2009. This is equivalent to counting how many subsets there are of {3, 7, 11, ..., 2009}. There are 1004 primes greater than 2 and less than 2010. Each of these primes is either in a subset or not in a subset. Thus, there are 2^1004 subsets of {3, 7, 11, ..., 2009}, including the empty set.

Thus, the probability is:

P = (number of subsets with no odd primes other than 3, 7, 11, ..., 2009) / 2^1004

We can count this number using the inclusion-exclusion principle. Let S be the set of odd integers less than 2010. Let Pi be the set of odd integers in S that are divisible by the prime pi, where pi is a prime greater than 2 and less than 2010. Let Pi,j be the set of odd integers in S that are divisible by both pi and pj, where i < j.

Then, the number of odd integers in S that have no prime factors other than 2 and 5 is:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...|

where the union is taken over all sets of primes with at least one element and less than or equal to 1005 elements.

By the inclusion-exclusion principle:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...| = ∑ (-1)^k ⋅ (∑ |Pi1,i2,...,ik|)

where the outer summation is from k = 0 to 1005, and the inner summation is taken over all combinations of primes with k elements.

This simplifies to:

\((1/2) * (2^{1004} + (-1)^1005)\)

Thus, the probability is: P = \((1/2)^{1004}* (1/2) *(2^{1004} + (-1)^{1005}) = 1/2 + 1/2^{1005}.\)

Hence, (m, n) = (\(1, 2^{1005\)).

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Answer:

15.23 cm²

Step-by-step explanation:

area = 37.8 cm²

145°/360° = 0.4028 portion of entire area

0.4028 x 37.8 cm² = 15.23 cm²

Answer:B

Step-by-step explanation:

The parabola f(x) = 2x² - 5x + 1 has been D. The parabola is translated down 2 units.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as it's degree is two.

We know the graph of a quadratic equation ax² + bx + c is a parabola that opens upwards and is symmetrical about the y-axis.

Given, a parabola f(x) = 2x² - 5x + 3.

Now it is changed to f(x) = 2x² - 5x + 1 which also can be written as,

f(x) = 2x² - 5x + 3 - 2, So it has been translated 2 units down along the y-axis.

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Answer:

x > -2

Step-by-step explanation:

-6 (-2) + 30 > 36

12 + 30 > 36

42 > 36

Yes

The Solow model can be applied to a programmer's skill by considering human capital as the equivalent of physical capital, with accumulation, depreciation, and technological progress affecting skill development.

The Solow model is a macroeconomic model that explains long-term economic growth. It is typically applied to analyze the growth of physical capital, such as machinery and equipment. However, in this case, we can adapt the Solow model to represent a computer programmer's skill at writing code.

In the context of a computer programmer's skill, we can consider human capital as the equivalent of physical capital in the traditional Solow model. Human capital refers to the knowledge, skills, and abilities that individuals possess and can contribute to the production process. To apply the Solow model to a programmer's skill, we can use the following components:

Inputs: In the Solow model, the main input is physical capital. In this adaptation, the input would be the programmer's human capital, which includes their existing knowledge and skills in coding.

Accumulation: The model assumes that physical capital accumulates over time through investment. Similarly, a programmer's human capital can accumulate through learning new coding languages, acquiring new skills, and gaining experience.

Depreciation: In the Solow model, physical capital depreciates over time due to wear and tear. Similarly, a programmer's human capital can depreciate if they don't actively use certain programming languages or if their skills become outdated.

Technological progress: The Solow model accounts for technological progress as a factor that increases productivity. In the case of a programmer, technological progress would involve advancements in coding languages, frameworks, tools, and methodologies that enhance their productivity and efficiency.

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Answer:

The answer is

1)0.96 to 2d.p

2)0.28 to 2d.p

3)3.49 to 2d.p

Step-by-step explanation:

tan0=3/4

0=tan‐¹[3/4]

0=36.9°

0≈37°

1) sin2(0)

sin (2×37)=sin 74=0.96 to 2.dp

2)cos 2(37)

sin(2×37)=cos 74=0.28 to 2d.p

3) tan20

=tan(2×37)=tan74=3.49 to 2d.p

Answer:

330yd^3

Step-by-step explanation:

multiply all of them

Answer:

330 yd^3

Step-by-step explanation:

V=w*h*l

V=5*6*11

V=330 yd^3

Step-by-step explanation:

1 problem = 1 min 20 sec = 80 seconds

6 problems = 80 * 6 = 480 seconds = 8 min.

It will take Jeremy 8 minutes.

Answer:

they both have right angles

Answer:

27 spoons of yellow paint

Step-by-step explanation:

Red paint : Yellow paint = 8 : 12

Let 'x' be the number of spoons of yellow paint.

8 : 12 :: 18 : x

Product of extremes = Product of means

8 * x = 12 * 18

     \(x = \frac{12*18}{8}\)

     x = 3 *9

     x = 27 spoons

Answer:27 is awser

Step-by-step explanation:

\( \huge\boxed{ \boxed{ \mathrm{Answer࿐}}}\)

Solution in attachment :

_________________________

\(\mathrm{ ☠ \: TeeNForeveR \: ☠}\)

The horizontal asymptote of f(x) is (c) the y-axis

From the question, we have the following parameters that can be used in our computation:

f(x) = -6(2)^x

The above expression is an exponential function

And as such, we have

-6(2)^x cannot be equal to 0

Rewrite as

-6(2)^x ≠ 0

This means that

y ≠ 0

So, the horizontal asymptote is y = 0

This in other words mean the y-axis

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Generally speaking, a S corporation is put up to reduce the tax obligations. It is Option (3).

A business form known as a S corporation is one that is allowed by the tax code to distribute its taxable income, credits, deductions, and losses to its shareholders directly. This provides it certain advantages over the more popular C corp. The S corp, an alternative to the limited liability company, is only available to small firms with 100 or fewer stockholders (LLC). S corporations and LLCs are both referred to as "pass-through entities" since they don't pay corporate taxes, instead, they pay their owners, who are then in charge of paying the necessary taxes.

One sort of legal corporate structure that is popular among small businesses is the S corporation, commonly referred to as a S corp or S corp or S subchapter. Another is a limited liability company (LLC). A corporation with 100 shareholders or fewer can profit from incorporation while still being taxed as a partnership thanks to the requirements of a S corp. S corporations and LLCs are both pass-through companies, which means they don't pay corporate taxes and provide their owners and principals with limited liability protection. LLCs, however, offer more flexibility.

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Correct Question:

An S corporation is generally set up to:

1. implement an expansion strategy

2. attract capital

3. reduce tax burdens

4. easy entry into an industry

5. take advantage of limited liability

The vertex of the graph is at (3, -1) and the graph is a parabola opening upwards.

Given function is:

f(x) = x² - 6x + 4

To complete the square of this quadratic expression, add and subtract the square of half of the coefficient of x as follows:

f(x) = (x² - 6x + 9) - 5 + 4

f(x) = (x - 3)² - 1

Here, we have completed the square of the given quadratic expression.

Now, we can plot the graph of the given function using the technique of shifting.

The vertex of the graph is at (3, -1) and the graph is a parabola opening upwards.

Here's the graph of the function f(x) = x² - 6x + 4.

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Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Step-by-step explanation:

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

Step-by-step explanation:

Identify the input values.

Since there is an even root, exclude any real numbers that result in a negative number in the radicand. ...

The solution(s) are the domain of the function.

According to the question to maximize the area of the pen, the dimensions should be a length of 450 feet and a width of 225 feet.

To maximize the area of the rectangular pen, we need to find the dimensions that use up the entire 900 feet of fencing.

Let's assume the length of the pen is L and the width is W. Since there are three sides that need fencing, we have \(2W + L = 900.\)

To maximize the area, we need to express the area A in terms of a single variable. The area of a rectangle is given by \(A = L * W.\)

From the equation \(2W + L = 900\), we can solve for L to get \(L = 900 - 2W.\)

Substituting this value of L in the equation for the area, we have \(A = (900 - 2W) * W.\)

Expanding and simplifying, we get \(A = 900W - 2W^2.\)

To find the dimensions that maximize the area, we need to find the vertex of the quadratic function \(A = -2W^2 + 900W\). The vertex can be found using the formula \(W = -b / (2a)\), where \(a = -2\) and \(b = 900.\)

\(W = -900 / (2 * -2) = 225.\)

Substituting this value of W back into the equation for L, we have \(L = 900 - 2(225) = 450.\)

Therefore, to maximize the area of the pen, the dimensions should be a length of 450 feet and a width of 225 feet.

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Answer: Dome Fuji, in Antarctica, is the coldest place in the world with a record low of –92 degrees.

Step-by-step explanation:

The value of x is 3.5

The solution to the proportion is x = 3

From the diagram shown, we have that;

ΔRST ≅ ΔUVW

We can also see that one side of the triangle ΔRST measures 4 and the other ΔUVW measures 2.

Thus, a scale factor of 2

Then, the value of x would be;

x = 7/2 = 3.5

To determine the proportion.

We have the equation;

12/x = 4/2x - 5

cross multiply the values

12(2x - 5) = 4x

expand the bracket

24x - 60 = 4x

collect like terms

20x = 60

x = 3

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