Lines m and n are parallel. Find the measure or

The compound interval for the given interval is (-∞, ∞).

A compound inequality is a combination of two inequalities that are combined by either using "and" or "or". The process of solving each of the inequalities in the compound inequalities is as same as that of a normal inequality but just while combining the solutions of both inequalities depends upon whether they are clubbed by using "and" or "or".

The given intervals are (-∞, -2] or [-3, ∞).

Now, the compound interval is (-∞, ∞)

Thus, the interval notation is -∞<x<∞

Therefore, the compound interval for the given interval is (-∞, ∞).

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The equation of the tangent line to the curve at the point is 2y = x + 1.

Here we have to find the equation of the tangent line to the curve at the point.

The given data:

x = cosФ + sin 2Ф

y = sinФ + cos 2Ф

Now let us differentiate it, as we have to find the tangent of the curve.

dx/ dФ = -sinФ + 2 cos 2Ф

dy/ dФ = cosФ - 2sin2Ф

So we get dx/dy as:

dy/ dx = cosФ - 2 sin 2Ф / -sinФ + 2cos 2Ф

Now as it is given that Ф = 0. So putting Ф as 0 we have:

dy/ dx = cos0° - 2 sin 0° / -sin0° + 2 cos 0°

          = 1 / 2

Now we get the value of x and y by putting Ф as 0°

x = cos0° + sin 0°

 = 1

y = sin 0° + cos 0°

  = 1

So we get the equation:

y - 1 = 1/2( x-1)

2(y - 1 ) = x - 1

2y - 2 = x -1

2y = x + 1

Therefore the equation is 2y = x + 1.

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Answer:

options are not correct

The length of y in the triangle is 14√3 units.

A right angle triangle is a triangle with one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the value of the indicated variable can be found as follows:

using trigonometric ratios,

sin 60° = opposite / hypotenuse

Where

opposite side = y

hypotenuse side = 28

sin 60° = y / 28

cross multiply

y = 28 sin 60°

y = 28 × √3 / 2

y = 14√3

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Explanation:

If you draw out the figure, you should have 2 similar right triangles.

The similar right triangles allow us to form a proportion in the format

A/B = C/D

where

In this case

Let's solve for C.

A/B = C/D

9/12 = C/24

9*24 = 12*C ... cross multiplying

C = 9*24/12

C = 9*2

C = 18

Of course this is very unrealistic to be this tall. It appears your teacher wasn't too careful in selecting numbers.

The coefficient of determination measures goodness of fit.

The coefficient of determination, often referred to as R-squared, measures the goodness of fit in a regression analysis. It does not measure the independence of variables, economic plausibility, or independence of residuals.

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Answer:

n = 72

Step-by-step explanation:

n =  -18 / (-1/4) = -18 * -4 = 72

Answer:

The Money Invested At age 25 earns more because it earns more Interest As compare to The Money Invested At age 40.

Step-by-step explanation:

According To the Question,

Thus, The Money He will have at age of 65 would be, \($1,500 * (1.08)^{40}\) = 32586.78$ . Here The Interest Earn in 40 Year Is 31086.78$.

Thus, The Money He will have at age of 65 would be, \($1,500 * (1.11)^{25}\) = $20378.20 . Here The Interest Earn in 25 Years Is 18878.20$.

⇒ Now, it is understood that the same amount invested for different periods of time & with a different interest rate, Since The Amount who get more Interest Would earn More. hence, The Money Invested At age 25 earns more because it earns more Interest As compare to The Money Invested At age 40.

By applying algebra, it can be concluded that the number of candies remaining in the bag can be written as c = 150 - 8s, where s is the number of snacking.

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems

Now we apply algebra to solve the problem:

Tyrone takes 8 pieces of candy each time snacking

After snacking 18 times, 6 pieces of candy remained in the bag

So the totals candies eaten = 8 * 18

                                              = 144 candies

Number of candies in the bag = candies eaten + remaining candies

                                                  = 144 + 6

                                                  = 150 candies

If s denotes the number of snacking, then the total number of candies eaten on s snacking = 8s

if c denotes the number of remaining candies, then:

c = total candies - candies eaten

c = 150 - 8s

Thus the number of candies remaining in the bag can be written as c = 150 - 8s, where s is the number of snacking.

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120.

Trust me.  It is correct using a formula.

The value of x is 48 km/hr.

How to solve for X

Total distance = 68 km

Total time = 50 minutes

First part:

Duration = 20 minutes

Speed = x km/hr

Second part:

Duration = 25 minutes

Speed = 2x km/hr

Third part:

Duration = 50 - (20 + 25) = 5 minutes

Speed = 3x km/hr

We can calculate the distance traveled in each part using the formula:

distance = speed × time

For the first part:

distance1 = x × (20/60) = (1/3)x (because 20 minutes = 1/3 hour)

For the second part:

distance2 = 2x × (25/60) = (5/6)x (because 25 minutes = 5/12 hour)

For the third part:

distance3 = 3x × (5/60) = (1/4)x (because 5 minutes = 1/12 hour)

Now, we know that the total distance is 68 km, so:

distance1 + distance2 + distance3 = 68

(1/3)x + (5/6)x + (1/4)x = 68

To solve for x, we'll first find a common denominator for the fractions, which is 12:

(4/12)x + (10/12)x + (3/12)x = 68

Now, add the fractions:

(4+10+3)/12 * x = 68

17/12 * x = 68

To isolate x, we'll multiply both sides by the reciprocal of the fraction (12/17):

x = 68 * (12/17)

x = 4 * 12

x = 48

So, the value of x is 48 km/hr.

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Answer:

(x – 3)^2+ (y +2)^2 = 36

Step-by-step explanation:

Given data

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,

where (h, k) represents the coordinates of the center of the circle

h=3

k=-2

r= 6

Substitute

(x – 3)^2+ (y – (-2))^2 = 6^2

(x – 3)^2+ (y +2)^2 = 36

Hence the expression for the equation of the circle is

(x – 3)^2+ (y +2)^2 = 36

Answer:

g(x)=-2x²-8x

let Y to be 0

0=2x²-8x

0=2x(x-4)

x=4 0r x=-2

both functions have an axis of symmetrical.....is an answer

Answer:

542 is divisible by 1,2,271 and 542

For the circle , AC and CB are orthogonal

According to the question ,

AB is the diameter of a circle with center O and the C is a point on one

of the two arcs joining A and B

Let AO = -u and OB = u and CO = v

To prove that AC and AB is orthogonal .

We have to show their dot product is zero i.e.  CA . CB = 0

=> CO + CA = -u

=> CA = -v -u

=> CO + CB = -v

=> CB = -v + u

So, the dot product,

CA . CB = (-v -u ) . ( -v +u)

=> v .v + u . v - v . u - u .u

=> |v|² +u . v - u . v - |u|²

=> |v|² - |u|² = 0

Hence , the length of v is same as the length of u

Therefore , AC and AB are orthogonal

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Answer:

E

Step-by-step explanation:

It has only two parallel sides

Answer:

50

Step-by-step explanation:

4,500÷90=50

and to check

90×50=4500

Answer:

no

Step-by-step explanation:

It has an equation mark so no.

The correct answer is k+3 ke-2.

To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:

1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4

Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.

Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).

Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.

Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.

Therefore, the formula that is not equivalent to the other two is k+3 ke-2.

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y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

Answer:

The value of X is -10

Step-by-step explanation:

Answer:the value is -10

Answer:

Domain: X coordinates

Range: Y coordinates

Step-by-step explanation:

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values). Range: all y-values that are used (dependent values).

For the given two similar triangles the value of x is equal to 7 units.

Figure is attached.

In triangle ABC and DBE,

Measure of ∠ABC = Measure of ∠DBE

Measure of ∠ACB = Measure of ∠DEB

By AA,

ΔABC is similar to ΔACB with correspondence DBE ↔ ABC

In the triangle ABC,

Measure of side length AB = AD + DB

                                             = 6 + 8

                                             = 14

Measure of side length BC = 3x

In triangle DBE,

Measure of side length DB = 8

Measure of side length BE = 2x - 2

In similar triangle corresponding sides are in proportion

⇒ AB / DB = BC / BE

⇒14 / 8 = 3x / (2x -2 )

⇒14 ( 2x -2 ) = 3x (8 )

⇒ 28x - 28 = 24x

⇒ 28x - 24x = 28

⇒4x = 28

⇒ x = 7 units

Therefore, the value of x for the two similar triangles is 7 units.

The above question is incomplete , the complete question is :

The two triangles are similar. What is the value of x? Enter your answer in the box. x=square.

Figure attached.

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Answer:

c=38

Step-by-step explanation:

Substitute 6 for r and -2 for t in the formula given

c=rt^(2)-3t+8

c=6*(-2)^2-3*(-2)+8

c=6*4-3*-2+8

c=24+6+8

The real solution to the equation\(3^(2x) − 3^x = 7⋅3^(x+5)\) is approximately x ≈ 5.287.

To solve the equation \(3^(2x) − 3^x = 7⋅3^(x+5)\) for real solutions, we can rewrite it using exponent properties. Let's begin:

1. Start with the given equation:

\(3^(2x) − 3^x = 7⋅3^(x+5)\)

2. Rewrite \(7⋅3^(x+5)\) as\(7⋅3^x⋅3^5:\)

\(3^(2x) − 3^x = 7⋅3^x⋅3^5\)

3. Divide both sides of the equation by 3^x to simplify:

 \((3^(2x) / 3^x) − 1 = 7⋅3^5\)

4. Apply the rule of exponents that states: \(a^m / a^n = a^(m - n):\)

\(3^(2x - x) − 1 = 7⋅3^5\)

5. Simplify the exponents:

\(3^x − 1 = 7⋅3^5\)

6. Add 1 to both sides of the equation:

\(3^x = 7⋅3^5 + 1\)

7. Simplify the right side of the equation:

 \(3^x\) = 7⋅243 + 1

  \(3^x = 1701 + 1\)

\(3^x = 1702\)

To find the value of x, we need to take the logarithm of both sides of the equation. Since the base is 3, we'll use the logarithm base 3:

8. Take the logarithm base 3 of both sides:

  log₃(3^x) = log₃(1702)

9. Apply the logarithm property that states:\(logₐ(a^b\)) = b:

  x = log₃(1702)

10. Use a calculator to evaluate the logarithm:

   x ≈ 5.287

Therefore, the real solution to the equation \(3^(2x) − 3^x = 7⋅3^(x+5)\) is approximately x ≈ 5.287.

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Answer:

me neither (TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)

Answer:

hello i am in 6th i dont know

Answer:

avocados from mexicoStep-by-step explan