fIND the measurement of angle 2​

Answer:

\(x = 6\)

Step-by-step explanation:

Given

\(2y-x=-6\)

Required

Determine the x intercept

To get the value of x intercept; we simply substitute 0 for y;

i.e. y = 0

\(2y-x=-6\) becomes

\(2(0)-x=-6\)

\(0-x=-6\)

\(-x=-6\)

Multiply both sides by -1

\(-1 * -x=-6 * -1\)

\(x=-6 * -1\)

\(x = 6\)

Hence, the x intercept is 6

Answer:

15.5 feet

Step-by-step explanation:

Find attached to this answer the appropriate diagram.

We would be using the Pythagoras Theorem to solve this question

The formula is given as:

a² + b² = c²

Where a = opposite side

b  = adjacent side

c = hypotenuse

From the question,

a = opposite side =  unknown

b  = adjacent side = 7 feet

c = hypotenuse = 17 feet

We are to find the opposite side

Using the formula

a² + b² = c²

a² = c² - b²

a² = 17 feet² - 7 feet ²

a² = 289 feet² - 49 feet²

a² = 240 feet²

a = √240 feet²

a = 15.491933385 feet

Approximately 15.5 feet

Therefore, the kite is 15.5 feet high up in the tree.

The values of x that makes line segment m parallel to n (m ║ n) are as follows;

13. x = 107°.

14. x = 133°.

15. x = 20°.

16. x = 23°

The outer strings of the oud are parallel because they are all cut or intersected by a transversal.

In Mathematics and Geometry, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines. This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two (2) parallel lines.

By applying corresponding angles theorem, we have the following:

x + 73 = 180° (sum of all interior angles)

x = 180 - 73

x = 107°.

x + 14 = 147 (vertical angles theorem).

x = 147 - 14

x = 133°.

3x + 2x + 20 = 180° (sum of all interior angles)

5x = 180 - 20

x = 60/3

x = 20°.

7x - 11 = 4x + 58 (corresponding angles theorem)

7x - 4x = 58 + 11

3x = 69

x = 23°

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Answer:

t = 75

Step-by-step explanation:

Step 1: Write equation

-15 + t = 60

Step 2: Solve for t

Add 15 to both sides: t = 75

Step 3: Check

Plug in t to verify it's a solution.

-15 + 75 = 60

60 = 60

Answer:

t= 75

Step-by-step explanation:

15-75=60

i hope this helps

Answer:

The graph of a tangent function is defined as the ratio if the opposite side of the adjacent side of any angle, specifically a right-angled triangle.

Let y = 0

0 = 2x^2 + 7x + 3

Using the quadratic formula, we get x = -3 and x = -1/2.

Answer:

Answer and Work is in photo

Step-by-step explanation:

Answer:

3524442532 or 3.524442532 * 10 ^9

Step-by-step explanation:

Answer:

Answer 3 (y=55x+20)

Step-by-step explanation:

The question says 55 each, meaning we don't know how much so u put x after 55. 20 is the additional cost that you pay only once.

(sin(θ) - cos(θ))/(sin(θ)) + (sin(θ) + cos(θ))/(cos(θ)) can be rewritten over a common denominator as (2sin(θ))/(sin(θ)cos(θ))

To rewrite the expression (sin(θ) - cos(θ))/(sin(θ)) + (sin(θ) + cos(θ))/(cos(θ)) over a common denominator, we need to find the least common multiple (LCM) of sin(θ) and cos(θ), which is sin(θ)cos(θ).

Let's rewrite each fraction with the common denominator:

First fraction:

(sin(θ) - cos(θ))/(sin(θ)) = (sin(θ) - cos(θ))/(sin(θ)) * (cos(θ)/cos(θ)) = (sin(θ)cos(θ) - cos^2(θ))/(sin(θ)cos(θ))

Second fraction:

(sin(θ) + cos(θ))/(cos(θ)) = (sin(θ) + cos(θ))/(cos(θ)) * (sin(θ)/sin(θ)) = (sin(θ)cos(θ) + cos^2(θ))/(sin(θ)cos(θ))

Now, we can combine the fractions over the common denominator:

((sin(θ)cos(θ) - cos^2(θ)) + (sin(θ)cos(θ) + cos^2(θ)))/(sin(θ)cos(θ))

Simplifying the numerator:

sin(θ)cos(θ) - cos^2(θ) + sin(θ)cos(θ) + cos^2(θ) = 2sin(θ)cos(θ)

Therefore, the expression (sin(θ) - cos(θ))/(sin(θ)) + (sin(θ) + cos(θ))/(cos(θ)) can be rewritten as (2sin(θ))/(sin(θ)cos(θ)).

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Answer:

w=2  w = -9

Step-by-step explanation:

w^2 + 7w - 18 = 0

We can factor this equation

What 2 numbers multiply to -18 and add to 7

9*-2 = -18

9+-2 = 7

(w-2) (w+9) = 0

Using the zero product property

w-2 = 0    w+9 =0

w=2  w = -9

Answer:

\(w_1=2\\w_2=-9\)

Step-by-step explanation:

This is going to be solved using the quadratic formula.

1. Determine the quadratic equation’s coefficient \(a\), \(b\), and \(c\).

Use the standard form, \(ax^2+bx+c=0\)  , to find the coefficients of our equation,

\(w^2+7w-18=0\):

a = 1

b = 7

c = -18

2. Plug these coefficients into the quadratic formula

The quadratic formula gives us the roots for  \(aw^2+bw+c=0\) , in which \(a\), \(b\), and \(c\) are numbers (or coefficients), as follows:

\(w=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

7 additional steps:

a = 1

b = 7

c = -18

\(w=\frac{-7\pm\sqrt{7^2=4*1*-18} }{2*1}\)

Simplify exponents and square roots

\(w=\frac{-7\pm\sqrt{49-4*1*-18} }{2*1}\)

Perform any multiplication or division, from left to right:

\(w=\frac{-7\pm\sqrt{49-4*-18}}{2*1}\\w=\frac{-7\pm\sqrt{49--72}}{2*1}\\\\w=\frac{-7\pm\sqrt{49+72}}{2*1}\\w=\frac{-7\pm\sqrt{121}}{2*1}\)

to get the result:

\(w=\frac{-7\pm\sqrt{49-4*-18}}{2}\)

3. Simplify square root \(\sqrt{121}\)

Simplify 121 by finding its prime factors:

121 ( 11 * 11)

The prime factorization of 121 is 11^2

Write the prime factors:

\(\sqrt{121}=\sqrt{11\cdot 11}\)

Group the prime factors into pairs and rewrite them in exponent form:

'\(\sqrt{11\cdot 11}=\sqrt{11^2}\)

Use the rule \(\sqrt{x^2=x}\)  to simplify further:

\(\sqrt{11^2}=11\)

4. Solve the equation for w

\(w=\frac{-7\pm11}{2}\)

The ±  means two answers are possible.

Separate the equations:

\(w_1=\frac{(-7+11)}{2}\) and \(w_2=\frac{-7-11}{2}\)

\(w_1=\frac{-7+11}{2}\)

\(w_1=\frac{4}{2}\)

\(w_1=2\)

\(w_2=\frac{-7-11}{2}\)

\(w_2=\frac{-18}{2}\)

\(w_2=-9\)

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Answer:

Thus, the values of x are 70° and 250°

Step-by-step explanation:

Trigonometric Functions

The tangent is defined as:

\(\displaystyle \tan\theta=\frac{\sin\theta}{\cos\theta}\)

Given a value for the tangent, there are two angles with the same tangent, one of them being \(\theta\) and the other \(\theta\)+180°.

We are given:

\(\tan x=2.7475\)

The angle is the inverse tangent:

\(x=arctan (2.7475)\)

Using a scientific calculator, we find the first angle:

x=70°

The second angle is found adding 180°:

x=70°+180°=250°

Thus, the values of x are 70° and 250°

Answer:

x = 2

Step-by-step explanation:

This is an isosceles triangle, which means at least two sides are equal.

Set x + 3 equal to 3x-1 and solve for x.

x + 3 = 3x -  1 --- subtract x and add 1 to opposite sides.

4 = 2x --- divide 2 to each side.

2 = x

The measurement of ∠STU is 20°.

Define Angle

When two rays are connected at their endpoints, they form an angle in geometry. We refer to these rays as the angle's sides or arms.

Components of an Angle

An angle is composed of the arms and the vertex as its two basic components:

Given, ∠STU = \((\frac {1}{4} x+8)\)°

∠UTV = x+2°

Given, that the line TV bisects ∠STU,

∠STV = ∠UTV

Substitute their values,

\((\frac {1}{4} x+8)\)° = x+2°

Calculating,

\(\frac{1}{4}x-x\) = 2-8

\(-\frac{3}{4}x\) = -6

x = \(-6*(-\frac{4}{3})\)

x = 8

So, we know that:

∠STU = ∠STV + ∠UTV

          =  \((\frac {1}{4} x+8)\)° +( x+2°)

          =  \((\frac {5}{4} x+10)\)

Now, substitute the value of x,

∠STU =  \((\frac {5}{4} )*8\)°+10°

          = 10° + 10°

          = 20°

Therefore, the measure of ∠STU is 20°.

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This statement is - true.

Two angles that lie in the same plane and have a common vertex and a common side but have no common interior points are the meaning of adjacent angles.

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The rate of change remains the same over the mentioned intervals, function f cannot be quadratic or exponential.

Hence, it can be concluded that function f is a linear function.

Based on the given information that the rate of change of function f is the same from x = -9 to x = -4 as it is from x = 1 to x = 6, we can conclude that function f is a linear function.

A linear function is characterized by a constant rate of change, meaning that the change in the function's value is consistent over any given interval.

In this case, the rate of change remains the same from x = -9 to x = -4 and from x = 1 to x = 6.

On the other hand, a quadratic function is characterized by a changing rate of change, meaning that the function's value changes at an increasing or decreasing rate over different intervals.

An exponential function, on the other hand, exhibits a rapid growth or decay with an increasing rate of change.

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i believe that it is choice: a.

i hope this helps

Answer:

\(9^{-7}, 9^{-2}\)

Step-by-step explanation:

\(\frac{9^5\times9^{-9}}{9^3}\\\frac{9^{-4}}{9^3}\\ 9^{-7}\)

When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).

\((9^4)^3\times9^{-14}\\9^{12}\times9^{-14}\\9^{-2}\)

The power series expansion of the function 6/(7-x) with center c=0 is

\(\frac{6}{(7-x)} = (6/7) \sum_{n=0}^{\infty} (x^n/7^n)\).

To expand the function 6/(7-x) in a power series with center c=0 using the equation \(1/(1-x) = \sum_{n=0}^{\infty} x^n\) for |x|<1, proceed as follows

Firstly, rewrite the given function.

Divide both the numerator and denominator by 7 to get the function \(\frac{(6/7)}{(1-(x/7))}\).

Apply the given equation: \(1/(1-x) = \sum_{n=0}^{\infty} x^n\) for |x|<1.

Replace x with x/7 in the sum:

\((6/7) \sum_{n=0}^{\infty} (x/7)^n\).

Simplify the expression to get:

\((6/7) \sum_{n=0}^{\infty} (x^n/7^n)\).

So, the power series expansion of the function 6/(7-x) with center c=0 is \(\frac{6}{(7-x)} = (6/7) \sum_{n=0}^{\infty} (x^n/7^n)\).

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Remember that if f and g are inverses of one another, then

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

1/2. Take a = 0 and b = 1 (or any non-zero number) so that

f(x) = x + 0/1   ⇒   f(x) = x

If g is to be an inverse of f, we need

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

so that c = 1 and d = 0.

3. With f(x) = x + a/b and g(x) = cx - d, we have

g(f(x)) = g(x + a/b) = c (x + a/b) - d = cx + ac/b - d

and of course, with a,b,c,d as before, we get g(f(x)) = x.

4. This would be a very uninteresting graph for the example I've cooked up here, just containing the line y = x...

Answer:

bottom left and top right

Step-by-step explanation:

The perimeter of a triangle, given it's vertices, is given by the sum of the three side lengths of the triangle.

The perimeter of a triangle is the sum of the lengths of its three sides.

We are given the three vertices of the triangle in this problem, hence the lengths of the three sides of the triangle are obtained with the three distances between each pair of vertices.

Two of the vertices have coordinates \((x_1,y_1)\) and \((x_2,y_2)\), hence the equation used to calculate the distance representing the side length is given as follows:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The problem is incomplete, hence the general procedure to obtain the perimeter of a triangle given it's vertices is presented.

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The given statement " using an empirical (resampling) distribution includes sampling values outside the range of the actual data. " is True because while resampling techniques may generate values outside the range of the original data, this is not necessarily a cause for concern.

Resampling techniques, such as bootstrapping or permutation tests, involve repeatedly sampling from the observed data to create an empirical distribution. This empirical distribution can then be used to make statistical inferences and hypothesis testing.

In some cases, resampling may generate values that are outside the range of the original data. This occurs because the resampling process is not constrained by the actual data values, but rather by the probability distribution of the observed data.

While sampling values outside the range of the actual data may seem counterintuitive, it is not necessarily a problem. In fact, resampling can be a powerful tool for testing statistical hypotheses and estimating uncertainty, particularly when the underlying population distribution is unknown or complex.

However, it is important to be aware of the limitations and assumptions of resampling techniques, particularly when making inferences or drawing conclusions. For example, if the original data is highly skewed or contains outliers, resampling may not accurately capture the underlying distribution.

Overall, while resampling techniques may generate values outside the range of the original data, this is not necessarily a cause for concern. Instead, it highlights the flexibility and power of empirical methods for statistical analysis.

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The function in standard form of f(x)=-4 x³-10 x¹²+13 is f(x)=-10 x¹²-4 x³+13 x. The function in standard form of  f(x)=8 x²¹-5 x²+13 x )  is f(x)=8 x²¹-5 x²+13 x. The function in standard form of  ( f(x)=x^³²-10 x¹⁴ is f(x)=8 x²¹-5 x²+13 x

7.  To determine the end behavior, we look at the highest degree term, which is -10 x^{12}. As x approaches positive infinity, -10 x^{12} will approach negative infinity. As x approaches negative infinity, -10 x^{12} will approach positive infinity. Therefore, the end behavior is:
lim_{x→∞} f(x) = -∞
lim_{x→-∞} f(x) = ∞

8. The function in standard form is f(x)=8 x^{21}-5 x^{2}+13 x. To determine the end behavior, we look at the highest degree term, which is 8 x^{21}. As x approaches positive infinity, 8 x^{21} will approach positive infinity. As x approaches negative infinity, 8 x^{21} will approach negative infinity. Therefore, the end behavior is:
lim_{x→∞} f(x) = ∞
lim_{x→-∞} f(x) = -∞

9. The function in standard form is f(x)=8 x^{21}-5 x^{2}+13 x. To determine the end behavior, we look at the highest degree term, which is x^{32}. As x approaches positive infinity, x^{32} will approach positive infinity. As x approaches negative infinity, x^{32} will approach positive infinity. Therefore, the end behavior is:
limx→∞ f(x) = ∞
limx→∞f(x) = +∞

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Answer:

  a) see attached

  b) 15015 meters

Step-by-step explanation:

You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.

The relevant circuit relations are ...

Given current and resistance for element 1, we immediately know its voltage is ...

  V = IR = (4)(10) = 40 . . . . volts

Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.

Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...

  90 -(40 +30) = 20

The current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.

That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...

  4 - 1 = 3 . . . . amperes

The resistance of each element is the ratio of voltage to current:

  R = V/I

Dividing the V column by the I column gives the values in the R column.

Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.

Power is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.

Note that the power supplied by the source T is the sum of the powers in the load elements.

We found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...

  (90 W)×(222 Hz/W) = 19980 Hz

Then the wavelength is ...

  λ = c/f

  λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle

The wavelength of the broadcast is about 15015 meters.

__

Additional comment

The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."

Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).

Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.

As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).

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Answer:

15 shirts per hour

Step-by-step explanation:

There are 3 20 minutes in an hour so you would do 5 x 3, which is 15. I hope this helps!

If you need me to furtherly explain let me know

If correct please mark brainliest

Answer:

Step-by-step explanation:

The answer would be 15 shirts per hour since 20 minutes is one third of an hour which mean you can multiply 20 three times to get an hour ( 60 minutes) and since you multiplied 20 you also have to multiply five which gives you 15 shirts per hour

I think I need to know what the cat weighs first...

The length of BP is 14.4 meters.

To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.

Using this property, we can set up the equation:

AP * PC = BP * DP

Substituting the given values:

12 m * 6 m = BP * 5 m

Simplifying:

72 m^2 = BP * 5 m

To solve for BP, divide both sides of the equation by 5 m:

72 m^2 / 5 m = BP

Simplifying:

14.4 m = BP

Therefore, the length of BP is 14.4 meters.

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Answer:

Step-by-step explanation:

Answer:

en decimal es 3.5 en fracción impropia es 14/4

Step-by-step explanation:

decimal

3 2/4 = 3 1/2

1/2 = .5

3+.5= 3.5

fracción impropia

3×4=12

12+2=14

14/4