"The
following problems refer to triangle ABC. solve it. Round the
angles to the nearest 2 decimals.
a= .58 b= .62 c= .6

2x + 17 grows no faster than 3x as x approaches infinity.

To show that 2x + 17 is O(3x), we need to find two positive constants, C and k, such that:

|2x + 17| <= C|3x| for all x > k

We can start by simplifying the left-hand side:

|2x + 17| = 2x + 17 (since x is always non-negative)

Next, we can simplify the right-hand side:

|3x| = 3x

Now, we need to find C and k that satisfy the inequality:

2x + 17 <= C*3x for all x > k

Dividing both sides by 3x, we get:

(2/3) + (17/3x) <= C for all x > k

Since (2/3) is a constant, we only need to find a value of k such that (17/3x) is less than some other constant. Let's choose k = 1, then:

(17/3x) < 6 for all x > 1

So, we can choose C = 6 and k = 1. Therefore, we have shown that:

|2x + 17| <= 6|3x| for all x > 1

This satisfies the definition of 2x + 17 being O(3x), which means that 2x + 17 grows no faster than 3x as x approaches infinity.

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Answer:

y= -4x-6 is the required equation.

Step-by-step explanation:

Lets take (0,-6) and (1,-10)

now

slope = (y2-y1)/(x2-x1)

= ((-10+6)/(1-0)

= -4/1

so, m = -4

again

y=mx+c

or, -10=-4×1+c

or, -10 = -4+c

so, c = -6

now

y=mx+c

or, y = -4x-6

The following combinations would result in multiple triangles:

B) 5°, 122° and 61°.

C). 2 cm, 8 cm, 10 cm.

The correct options are B and C.

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

A) The sum of all the angle is 180°.

It can form the triangle.

B) The sum of all the angle is less than 180°.

From this property, we can not form a triangle.

C). The triangle inequality,

the sum of two sides is less than the side length of the large side.

This property can satisfy the multiple triangle property.

D). It can be the property of a triangle.

Therefore, the combinations are statement B and C.

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Without seeing the choices you have to pick from:

1. Is either multiply or distribute ( they mean the same thing in this problem)

2. Subtract 16

3. Add 16

4. Divide by -16

Steps to solve:

-2(5x + 8)  = 14 + 6x

~Distribute left side

-10x - 16 = 14 + 6x

~Subtract 6x to both sides

-16x - 16 = 14

~Add 16 to both sides

-16x = 30

~Divide -16 to both sides

x = 30/-16

~Simplify

x = -15/8

Best of Luck!

This tells us our interest rate needs to be 4% in order to grow $500 to $1600 in 12 years compounded quarterly.

We will use the compound interest formula to solve for our unknown interest rate. Recall the compound interest formula:

\(A(r) =A(1+\frac{r}{n} )^n^t\) where A(r) is the ending dollar amount, A is the starting amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

We know that:

A(r) = 1,600

A = 500

n = 4

t = 12

and our r is unknown.

Using our formula gives us:

\(1600 = 500(1+\frac{r}{4} )^4^.^1^2\)

\(1600 = 500(1+\frac{r}{4} )^4^8\)

Next, we will divide by 500:

\(3.5=(1+\frac{r}{4} )^4^8\)

ln of both sides

In 3.5 = In \((1+\frac{r}{4} )^4^8\)

0.54406804435 = 48  In \((1+\frac{r}{4} )\)

0.0113 = ln (1+r/4)

raise to e power

1.0114 = r/4

4.0456 = r

r = 404.56%

This tells us our interest rate needs to be 4% in order to grow $500 to $1600 in 12 years compounded quarterly.

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The emerging role of the European Commission in competition policy suggests that the EU is becoming more inclined and capable of intervening and imposing conditions on companies involved in mergers and acquisitions.

The European Commission, as the executive body of the European Union, plays a crucial role in enforcing competition policy and ensuring fair market competition within the EU. In recent years, the European Commission has been increasingly active in scrutinizing mergers and acquisitions to prevent anti-competitive practices and protect consumer welfare.

By closely examining proposed mergers and acquisitions, the European Commission can assess their potential impact on competition and market dynamics. If it determines that a merger or acquisition could lead to anti-competitive behavior or harm consumers, the Commission has the authority to intervene and impose conditions or remedies on the company involved.

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Answer:

The sale price is $13. 75% of 52 is $39, and it is 75% off

Step-by-step explanation:

The sale price is $13. 75% of 52 is $39, and it is 75% off

I know this because 75% is that much from 52.

Answer:

1/2

Step-by-step explanation:

PROBABILITY: THE LIKELIHOOD OF AN EVENT.

When you toss a coin, there are only two outcomes: heads or tails.

Therefore, the probability of the coin landing face-up would be 1 in 2 or 1/2.

Since the exponential function is always positive, there is no solution for e^(-2t) = -1/6. This means that the derivative is never equal to zero, and there is no point of maximum steepness for this curve.

To find the point at which the curve is steepest, we need to find the maximum value of the derivative of the function. Let's start by finding the derivative of the given function:

y = 50 / (1 + 6e^(-2t))

To find the derivative, we can use the quotient rule:

y' = [50(0) - (1 + 6e^(-2t))(-12e^(-2t))]/(1 + 6e^(-2t))^2

Simplifying this expression, we get:

y' = (72e^(-2t))/(1 + 6e^(-2t))^2

To find the maximum point, we need to find the value of t for which the derivative is equal to 0. Setting y' = 0 and solving for t, we have:

(72e^(-2t))/(1 + 6e^(-2t))^2 = 0

Since the numerator cannot be zero, we focus on the denominator:

(1 + 6e^(-2t))^2 = 0

Taking the square root of both sides, we get:

1 + 6e^(-2t) = 0

Solving for e^(-2t), we have:

e^(-2t) = -1/6

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We know that the line passes through the origin, which means that the coordinates of the point on the line are (0,0). We also know that the line has a slope of 2. Therefore, we can use the point-slope form of the equation of a line to find its equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line. Plugging in the values we know, we get:

y - 0 = 2(x - 0)

which simplifies to:

y = 2x

Thus, the equation of the line containing the origin and with a slope of 2 is y = 2x.

To graph the two triangles on the same coordinate plane, we plot the coordinates of their vertices.The two triangles are not congruent.

The coordinates are :

Triangle XYZ:

X(2, 8)

Y(-4, 8)

Z(2, 4)

Triangle ABC:

A(8, -2)

B(8, 4)

C(4, -2)

Now, let's plot the points and connect them to form the triangles.

Triangle XYZ is formed by connecting points X, Y, and Z:

X(2, 8) Z(2, 4)

| /

| /

| /

Y(-4, 8)

Triangle ABC is formed by connecting points A, B, and C:

A(8, -2) C(4, -2)

| /

| /

| /

B(8, 4)

Visually, we can see that the two triangles are not congruent. Congruence between two triangles requires that their corresponding sides and angles are equal. In this case, the corresponding sides of Triangle XYZ and Triangle ABC are not equal in length, and the corresponding angles are not equal in measure. Therefore, the two triangles are not congruent.

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When X = 3 then Y = -6

Here is the explanation:

If Y1 = -4 when X1 = 2

and if X2 = 3 when Y2 = ?

The formula is

\(\frac{Y2}{X2} =\frac{Y1}{X1}\\\\Y2 = \frac{Y1}{X1} x X2\\\\Y2=\frac{-4}{2}x3\\\\Y2=-6\)

Hence if X = 3 then Y = -6

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Answer:

$277,419

Step-by-step explanation:

Relevant Data provided as per the question is

Net amount = 50,000

Closing cost = 8,000

Loan amount = 200,000

Commission percentage = 7%

According to the given situation, the calculation of the minimum contract price is shown below:-

\(Minimum\ contract\ price = \frac{(Net\ amount\ +\ Closing\ cost\ +\ Loan\ amount) }{Remaining\ percentage}\)

\(= \frac{(50,000 + 8,000 + 200,000)}{(100\% - 7\%)}\)

\(= \frac{258,000}{93\%}\)

= $277,419

Therefore for calculating the minimum contract price we simply applied the above formula.

Answer:

59

Step-by-step explanation:

\(f(x) = 2^{6} - 5\\\ f(x)= 64-5\\f(6)=59\\\)

Answer:

it's 59

you have to plug it in

Step-by-step explanation:

you have to plug in 6 in X so it would be 2^6 -5 and 2^6 it's 64 and minus 5 is 59

Answer: <less than >greater than ≥ greater than or equal to ≤ less than or equal to

Step-by-step explanation:

Dividing the circumference of a pumpkin by its diameter gives a value approximately equal to pi (π)

When you divide the circumference of a pumpkin by its diameter, you get a value that is approximately equal to the mathematical constant pi (π), which is approximately 3.14159.

This is because pi represents the ratio of the circumference of a circle to its diameter, and a pumpkin is roughly spherical in shape. So, no matter how big or small the pumpkin is, if you measure its circumference and diameter and divide them, the result will be very close to pi.

Mathematically, this can be represented by the formula

pi ≈ circumference / diameter

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Answer:

|-5| or 5

Step-by-step explanation:

The "|- |" means the absolute value of a number. One example of this is |-2| is 2. Now, with that being given, the absolute value or | | of |-6| is 6! The same applies for 4. So what positive number is between 4 and 6?

4, 5, 6!

5 is the answer as a positive integer, or you can say |-5|

Hope this helps!

Answer:

i think its about 5 pounds idk please tell me if im wrong..

Step-by-step explanation:

The answer is: 250/49 because 14^-2 is equal to 1/196 and if you multiply that by 1000 it equals 250/49 or 5.1

The classification technique that is nonparametric and does not rely on any underlying statistical model is regression trees via recursive partitioning. This method is based on splitting the data into smaller subsets and constructing decision trees to predict the target variable.

Unlike parametric methods like multinomial logistic regression and linear/quadratic discriminant analysis, regression trees do not make assumptions about the distribution of the data. Backward elimination is a technique used to select the most important variables for a statistical model by removing variables one at a time based on their p-value.

While it can be used with both parametric and nonparametric methods, it is not a classification technique in itself. In summary, if you want a nonparametric classification technique that does not rely on underlying statistical assumptions, regression trees via recursive partitioning are a good choice.

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Answer:

All of the choices.

Step-by-step explanation:

A rational number is one that can be represented by the ratio of two integers. In other words, if you can write the number as a fraction of two whole numbers, then it is a rational number.

All of these numbers can be written this way. Therefore, all of the numbers seen are rational.

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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The solution to the equation is x = 8.

To solve this equation, we can use the properties of logarithms to simplify it.

Recall that:

log a^b = b log a (the logarithm of a power is equal to the exponent times the logarithm of the base)

log a + log b = log(ab) (the logarithm of a product is equal to the sum of the logarithms of its factors)

log a - log b = log(a/b) (the logarithm of a quotient is equal to the difference of the logarithms of its terms)

Using these properties, we can rewrite the equation as:

2log2(x) - log2(2x) = 3

log2(x^2) - log2(2x) = 3

log2(x^2/2x) = 3

log2(x) = 3

x = 2^3

x = 8

Therefore, the solution to the equation is x = 8.

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This integral represents the length of the curve defined by the given parametric equations for 5 ≤ t ≤ 9. To find its exact length, you would need to evaluate this integral using appropriate integration techniques or numerical methods.

To find the length of the curve defined by the parametric equations x = ln(t) and y = √(t^1), for 5 ≤ t ≤ 9, we can use the arc length formula for parametric curves.

The arc length formula is given by:

L = ∫[a,b] √[(dx/dt)^2 + (dy/dt)^2] dt

In this case, we have x = ln(t) and y = √(t^1). We need to find dx/dt and dy/dt to calculate the integrand.

Differentiating x = ln(t) with respect to t, we get:

dx/dt = 1/t

Differentiating y = √(t^1) with respect to t, we get:

dy/dt = (1/2)t^(-1/2)

Substituting these derivatives into the arc length formula, we have:

L = ∫[5,9] √[(1/t)^2 + ((1/2)t^(-1/2))^2] dt

Simplifying the expression under the square root, we get:

L = ∫[5,9] √[1/t^2 + 1/4t] dt

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Answer:

Step-by-step explanation:

As per the question we have:

This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.

So the lines could be:

Lines must be perpendicular to each other as they are cutting at y intercept -1

Slope intercept form of line

for slope -1

For slope 1

y=x-1

Answer:  See the image below.

Answer:

$103

Step-by-step explanation:

Just multiply 55.25 times 0.87 which is 48.06

Then just add 48.06 + 55.25 and you get 103

Answer:

f'(x)=6x+8

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(a)

calculate the lengths using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )

JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)

    = \(\sqrt{(3+3)^2+(-8+7)^2}\)

    = \(\sqrt{6^2+(-1)^2}\)

    = \(\sqrt{36+1}\)

    = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )

MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)

      = \(\sqrt{(-1)^2+(-6)^2}\)

     = \(\sqrt{1+36}\)

     = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )

PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)

      = \(\sqrt{(-2+8)^2+1^2}\)

      = \(\sqrt{6^2+1}\)

      = \(\sqrt{36+1}\)

      = \(\sqrt{37}\)

(b)

JK ≅ MN ← true

JK ≅ PQ ← true

MN ≅ PQ ← true