Which choice could be used in proving that the given triangles are similar? A) PO 6 DE 4 II B) PO 4 EF 9 PO 4 DE 6 D) PR 6 DE 6 allo

Compound interest formula:

Given data:

P= $2,000

r= 3,9% =0.039

n=monthly= 12

t= 6 years

Then, the total amount after six years is $

Explanation:

Here, the expression is 26/w=5/6.

Therefore,

So, the value of w is 31.2

Answer:

Given:

Simplify:

Expand:

Apply linearity:

Apply power rule and the standard integral ln(x)

Now, applying the Fundamental Theorem of Calculus Part 2

Or approximately

ANSWER

The lengths of the legs of the triangle are 6.06 yards and 3.6 yards.

EXPLANATION

First, let us make a sketch of the problem:

To find the length of the legs, we have to apply trigonometric ratios SOHCAHTOA.

We have that:

From the diagram:

We also have that:

From the diagram:

The lengths of the legs of the triangle are 6.06 yards and 3.5 yards.

Solving this equation, we have:

Since the final sentence is always true, the solution set is all real numbers.

Showing it in the number line in blue, we have:

Answer:

15

Step-by-step explanation:

wow(-1) means w(w(-1))

so we can find out what w(-1) is

3(-1)^2+3(-1)-3=3-3-3

which is -3

then we can find w(-3)

3(-3)^2+3(-3)-3

which is 15

There are 10 digits from 0 to 9.

First digit 10 ways

Second digit 10 ways

Third digit 10 ways

Fourth digit 10 ways

Hence the total outcomes =10000

Selecting the correct access code on the first try given favorable outcomes =1.

Hence the probability of randomly selecting the correct access code on the first try is 0.0001.

The probability of not selecting the correct access code on the first try=1-The probability of selecting the correct access code on the first try

The probability of not selecting the correct access code on the first try=1-0.0001

Hence the probability of not selecting the correct access code on the first try=0.9999.

Expression of the integral [tex]\int\limits^3_0 {(x^{3}-6x) } \, dx[/tex] as the limit of a Riemann sum without any evaluation will be

Lim(n → ∞) ∑(n = 1 → ∞) [{(27i³/n³) - (18i/n)} * (3i/n)]

As per the question statement, we are provided with an integral [tex]\int\limits^3_0 {(x^{3}-6x) } \, dx[/tex] ,

And we are required to determine the expression of the above mentioned integral as the limit of a Riemann sum without any evaluation.

To start with, we need to know the formula [Δx = {(b - a)/n}]

And here, from our given integral [tex]\int\limits^3_0 {(x^{3}-6x) } \, dx[/tex], we get that, (a = 0) and

(b = 3). Therefore substituting the values of "a" and "b" in the formula to calculate Δx, we get,

[Δx = {(3 - 0)/n} = (3/n)]

Also, [(x[tex]_{i}[/tex]) = {a + (Δx)i} = {0 + (3/n)i) = (3i/n)],

Given, [ρ(x) = (x³ - 6x)], and thus, [ρ(x[tex]_{i}[/tex]) = ρ(3i/n)]

Or, [ρ(x[tex]_{i}[/tex]) = {(3i/n)³ - 6(3i/n)}]

Or, [ρ(x[tex]_{i}[/tex]) = {(27i³/n³) - (18i/n)}]

Then, Lim(n → ∞) ∑(n = 1 → ∞) ρ(x[tex]_{i}[/tex])Δx

= Lim(n → ∞) ∑(n = 1 → ∞) [{(27i³/n³) - (18i/n)} * (3i/n)]

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We have the following:

solving for m:

Answer:

The correct option is D

98

The general term of the sequence is n(n+7)

Answer:

Step-by-step explanation:

This is an equation! Solutions: x=1.

Graphical form: Equation 3%2Ax-x%2B2=4 was fully solved.

Text form: 3*x-x+2=4 simplifies to 0=0

Cartoon (animation) form: simplify_cartoon%28+3%2Ax-x%2B2=4+%29

For tutors: simplify_cartoon( 3*x-x+2=4 )

If you have a website, here's a link to this solution.

Use the formula for the area of a circle:

First, we need to find the radius r. Since the radius is half the diameter, then:

Substitute the value for r in the formula for the area of the circle:

Therefore, the area of a circle of diameter 10.5 in is approximately 86.6 squared inches.

Since he made $120 in d days

To find his earn in eac

Answer:

• Amplitude: 3

• Period: π/2

• Phase Shift: 1/8 (to the left)

• Vertical Shift: -0.5

Explanation:

Given the trigonometric function:

Comparing with the form below:

Thus, we have that:

The phase shift, -1/8 indicates a shift to the left.

Solution

We can do the following:

And we have this:

EXPLANATION

Since we have the system of equations:

(1) x - y = 0

(2) x + y = -4

Isolating x in (1):

x = y

Plugging in x=y into (2):

y + y = -4

Adding like terms:

2y = -4

Dividing both sides by 2:

y = -4/2

Simplifying:

y = -2

Plugging in y=-2 into (1):

x - (-2) = 0

Removing the parentheses:

x + 2 = 0

Subtracting -2 to both sides:

x = -2

The solution of the system of equations is (-2, -2)

Representing the graph:

Answer:

d.

Step-by-step explanation:

the slope is the factor of x.

a perpendicular slope turns the original slope upside-down and flips the sign.

the original slope is -3/7.

the perpendicular slope is then 7/3.

the only answer option with the correct slope is d.

so, d. must be correct.

let's check that (-2, 2) is on this line :

2 = 7/3 × -2 + 20/3 = -14/3 + 20/3 = 6/3 = 2

2 = 2

correct.

so yes, the point (-2, 2) is on this line, and d. is indeed correct.

ANSWER

Option D: The triangles are not similar

STEP BY STEP EXPLANATION

Now, two (2) triangles are said to be similar if the three (3) angles of triangle A are congruent or equal to the corresponding three (3) angles of triangle B.

If you take a close look at the two (2) triangles, you will notice that the only angle in ∆BCG that is equal to the corresponding angles in ∆EFG is ∆BGC; the two (2) remaining angles in ∆BCG are not congruent with the two (2) corresponding angles in ∆EFG

Hence, it can be concluded that both triangles are not similar.

I must earn at least $625 (or more) per week before tax to pay my bills.

Given,

To make $500 per week after tax in order to pay all my bills.

and, The income tax is 20%

To find the  smallest pre-tax weekly .

Now, According to the question:

Let x be the amount to earn pre - tax.

The income tax is 20% = 20/100 = 0.2

Set up an inequality:

x - 0.2x > = 500

0.8 > = 500

x >= 500/0.8

x >= 625

Hence, I must earn at least $625 (or more) per week before tax to pay my bills.

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Based om the cost of the continuous belt conveyor kiln and the monthly payments, as well as the APR of the loan, the term this loan will be paid is 120 months or 10 years.

When given the cost of a loan, the APR, and the monthly payments, you can find out the term of the loan by using the NPER function on a spreadsheet.

The Rate would be:

= 6.3% / 12 months in a year

= 0.525%

The Pmt is the payment of $765.22. This amount should be in negatives.

The Present Value or Pv should be the loan amount of $68,000.

The term on the loan would then be 120 months which is 10 years.

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When Fiona rolled Cube #2, she got a number -2 as she got 2 while rolling Cube #1 and the sum of the value on the cubes was 0.

As we know Cube #1 has integers 1, 2, 3, 4, 5, 6 on its faces and Cube #2 has -1, -2, -3, -4, -5, -6 on its faces.

It is also given that Fiona got 2 when she rolled cube #1 and the value of the sum on both the cubes is 0.

So it is clear that on Cube #2, the number must be -2 as in that case only, the sum of the values will be 0.

To prove

2 + (-1) = 1

2 + (-2) = 0

2 + (-3) = -1

Hence, the number she got on Cube #2 is -2.

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we are given

mean=42

Std=10

if the mean=42 + std =10 42+10=52

if the mean=42 - std=10 42-10=32

Rule -- 68-95-99.7

68% of the measures are within 1 standard deviation of the mean.

42+10=52

95% are within 2.

42+20=62

99.7% are within 3.

42+30=72

The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.

we are ask for the porcentage of request between 42-62 (between the mean and 2+std)

62 is two standard deviations above the mean.

Of the 50% of the measures below the mean, 95% are between 42 and 62, so

0.95(50)=47.5

The approximate percentage of light bulb replacement requests numbering between 42 and 62 is of 47.5%

SOLUTION

We want to solve for x in the equation

First we expand the brackets in both sides of the equation, this becomes

Note that the minus sign multiplies the items in the brackets too

Now, we collect like terms we have

Hence x = -3

The output values of f(-3), f(0) and f(2) of the function f( x ) = 5x - 2 are -17, -2 and 8 respectively.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

For f( - 3 );

To find the output value of f( -3 ), replace all the occurrence of x with -3 in the function and simplify.

f( x ) = 5x - 2

f( -3 ) = 5(-3) - 2

f( -3 ) = -15 - 2

f( -3 ) = -17

For f( 0 );

To find the output value of f( 0 ), replace all the occurrence of x with 0 in the function and simplify.

f( x ) = 5x - 2

f( 0 ) = 5(0) - 2

f( 0 ) = 0 - 2

f( 0 ) = -2

For f( 2 );

To find the output value of f( 2 ), replace all the occurrence of x with 2 in the function and simplify.

f( x ) = 5x - 2

f( 2 ) = 5(2) - 2

f( 2 ) = 10 - 2

f( 2 ) = 8

Therefore, the output value of f( 2 ) is 8, this forms an ordered pair of ( 2, 8 ).

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f(x) = -2

the answer is the second option

The horizontal line at y = -2 which is parallel to x-axis

You know that the volume of the fish tank in the shape of a cube:

By definition, the formula for calculating the volume of a cube is:

Where "a" is the length of each edge of the cube.

If you solve for "a", you get this formula:

In this case, knowing the volume of the cube, you can substitute it into the second formula and evaluate, in order to find the length of each edge of the cube:

The surface area of a cube can be found using this formula:

Where "a" is the length of each edge of the cube.

Substituting the value of "a" into the formula and evaluating, you get:

Hence, the answer is: Second option.

The five fractions can be arranged in order, from the left to right, from least to greatest as : 5/17 , 3/10 , 4/13 , 1 /3.

The fraction can be arranged from the  from least to greatest by firstly convert the fraction to the decimal numbers so that one c b able to identify the highest and the lowest values.

The given fractions  1 /3 2 /7 3/10 4/13 5/17 can be converted to decimal numbers as 0.33 , 0.67 , 0.30 , 0.31 , 0.29 respectively and this can be arranged as 5/17 , 3/10 , 4/13 , 1 /3.

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The function operation ( f - g )( x ) in the functions f(x) = x² + 1 and g(x) = 5 - x is x² + x - 4.

A function is simply a relationship that maps one input to one output. Each x-value can only have one y-value.

Given the data in the question;

To find ( f - g )( x ), replace the function designators in ( f - g ) with the actual functions.

( f - g )( x ) = f( x ) - g( x )

( f - g )( x ) = ( x² + 1 ) - ( 5 - x )

Remove the parenthesis using distributive property

( f - g )( x ) = ( x² + 1 ) - ( 5 - x )

( f - g )( x ) = x² + 1 - 5 + x

Collect and add like terms

( f - g )( x ) = x² + x + 1 - 5

( f - g )( x ) = x² + x - 4

Therefore, the function operation ( f - g )( x ) is x² + x - 4.

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The required function would be (f – g)(x) = x² + x - 4.

A mathematical expression that defines the connection between two variables is considered a function.

The given functions following as

f(x) = x² + 1 and g(x) = 5 - x

We have to determine the function (f – g)(x).

(f – g)(x)  = f(x) - g(x)

Substitute the values of functions f(x) = x² + 1 and g(x) = 5 - x in the function (f - g).

(f – g)(x) = (x² + 1) - (5 - x)

Open the parenthesis and apply the arithmetic operation,

(f – g)(x)  = x² + 1 - 5 + x

Rearrange the terms likewise and combine them,

(f – g)(x) = x² + x + 1 - 5

Apply the subtraction operation to get

(f – g)(x) = x² + x - 4

Therefore, the required function would be (f – g)(x) = x² + x - 4.

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We have that the general formula for the density given the volume and the mass is:

in this case, the densities for the can of soup and the can of tuna are:

the difference between these two densities is:

therefore, there is 0.0179 less density of the soup than the tuna