Write and solve inequalitiesWhich graph shows only the solution of the inequalities that make sense for this situation

Answer:

45x−31

Step-by-step explanation:

Essay writers stink

It's fox season! - Ash the Fox

(Will have new phrase every month!)

Check the picture below.

The value of x in the given right triangle is 22.55 units.

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the connection between the angles and sides of a triangle. The ratio of the lengths of the adjacent and opposing sides is known as the tangent function. It should be noted that the ratio of sine and cosine to the tan may also be used to express the tan.

For the given triangle the given sides are opposite and adjacent to the given angle.

The trigonometric function that relates the two sides are:

tan (64) = x/11

2.05(11) = x

x = 22.55

Hence, the value of x in the given right triangle is 22.55 units.

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Answer:

90% correct

Step-by-step explanation:

You want to make calculating easy and to do this, you multiply write out 18 out of 20 like a fraction, 18/20, and multiply both the numerator and the denominator by 5 because 20*5 = 100. 18*5 = 90. 90/100 is the same thing as 90%. Hope this helps!

Answer:

x = (√10  -3)/2  and (-√10  -3)/2

Step-by-step explanation:

(2x+3)^2 = 10

To solve the equation, take the square root of each side

sqrt((2x+3)^2) = ±√10

2x+3 = ±√10

Subtract 3 from each side

2x+3-3 = ±√10  -3

2x = ±√10  -3

Divide each side by 2

2x/2 = (±√10  -3)/2

x = (±√10  -3)/2

There are two solutions

x = (√10  -3)/2

and (-√10  -3)/2

Answer:

\(\large {\textsf{A and D}}\ \implies \sf \sf \bold{x_1}=\dfrac{-\sqrt{10}-3}{2},\ \bold{x_2}=\dfrac{\sqrt{10}-3}{2}\)

Step-by-step explanation:

Given: (2x + 3)² = 10

In order to find the solutions to the given equation, we can take the (square) roots of the equation to find the zeros, which are also known as the x-intercepts. This is where the zeros intersect the x-axis.

Note: when taking the square roots of a quadratic equation, remember to use both the positive and negative roots.

Step 1: Square both sides of the equation.

\(\sf \sqrt{(2x + 3)^2} = \sqrt{10}\\\\\Rightarrow 2x+3=\pm\sqrt{10}\)

Step 2: Separate into possible cases.

\(\sf x_1 \implies 2x+3=-\sqrt{10}\\\\x_2 \implies 2x+3=\sqrt{10}\)

Step 3: Solve for x in both cases.

\(\sf \bold{x_1} \implies 2x+3=-\sqrt{10}\ \ \textsf{[ Subtract 3 from both sides. ]}\\\\\Rightarrow 2x+3-3=-\sqrt{10}-3\\\\\Rightarrow 2x=-\sqrt{10}-3\ \ \textsf{[ Divide both sides by 2. ]}\\\\\Rightarrow \dfrac{2x}{2}=\dfrac{-\sqrt{10}-3}{2}\\\\\Rightarrow x_1=\dfrac{-\sqrt{10}-3}{2}\\\\\)

\(\sf \bold{x_2}\implies 2x+3=\sqrt{10}\ \ \textsf{[ Subtract 3 from both sides. ]}\\\\\Rightarrow 2x+3-3=\sqrt{10}-3\\\\\Rightarrow 2x=\sqrt{10}-3\ \ \textsf{[ Divide both sides by 2. ]}\\\\\Rightarrow \dfrac{2x}{2}=\dfrac{\sqrt{10}-3}{2}\\\\\Rightarrow x_2=\dfrac{\sqrt{10}-3}{2}\)

Therefore, the solutions to this quadratic equation are: \(\sf \bold{x_1}=\dfrac{-\sqrt{10}-3}{2},\ \bold{x_2}=\dfrac{\sqrt{10}-3}{2}\)

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Answer:

The equation that represents this relation is \(y = 3x - 5\).

The relation is a function.

If the domain of the relation is x > 2, the range of the relation is \(y >1\)

Step-by-step explanation:

Given

Output = 3 * Input - 5

Required

Complete the gap

Solving (a):The equation for the relation.

Let

\(x \to\) input

\(y \to\) output

The relation is:

\(y = 3 * x - 5\)

\(y = 3x - 5\)

Solving (b): Is the relation, a function?

Yes; Because every value of x has a distinct value in 7

Solving (c): The range:

Domain: \(x > 2\)

Substitute 2 for x in \(y = 3x - 5\)

\(y =3 * 2 - 5\)

\(y =6 - 5\)

\(y =1\)

The range is:

\(y >1\)

Answer:

The equation that represents this relation is [ y= 3x - 5 ]

The relation [ is ] a function.

If the domain of the relation is x > 2, the range of the relation is y > [ 1 ].

Step-by-step explanation:

The output, y, of a relation, is the difference of three times the input, or 3x, and 5. So, y = 3x − 5.

Substituting any x-value from the domain into the equation will result in exactly one value of y, so the relation is a function.

To find the range of the relation, given the domain, substitute the boundary point of the domain into the function equation:

When x = 2, y = 3(2) − 5 = 6 − 5 = 1.

Because substituting values of x that are greater than 2 will result in values of y that are greater than 1, the range of the relation is y > 1.

Hope this helps !!

The vertical component of velocity can be zero at specific points in the motion of an object.

What is Velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.

The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.

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Answer:

4y2 - 12y

Step-by-step explanation:

2+4y-16y+32(Combine like-terms)

2−12y+32(Combine like-terms)

Answer:

The answer is \(4y^{2} -12y\)

Step-by-step explanation:

To simplify the polynomial, start by combining like terms. Add \(y^{2}\) and \(3y^{2}\) to get \(4y^{2}\). Then, subtract \(16y\) from \(4y\) to get \(-12y\). Finally, the simplified answer is \(4y^{2} -12y\).

The value of dI/da can be obtained by using the chain rule, which states that dI/da = (dI/dt) / (da/dt).

Given that I_dt = Floo and y = cos(4t^2) and y_dt = -8t*sin(4t^2), we can solve for dI/da by finding da/dt when t = 5 and substituting the values in the formula.

Let's first apply the chain rule to the equation y = cos(4t^2) to find dy/dt:

dy/dt = -sin(4t^2) * d/dt (4t^2) = -8t*sin(4t^2)

Next, we can use the given value I_dt = Floo, which means that dI/dt = 1.

To find da/dt, we need to differentiate a with respect to t. However, the value of a is not given explicitly in the equation. Therefore, we need to use the given information that when t = 5, a = -7. This means that we can write the equation for a as follows:

a = 5t - 42

Taking the derivative of both sides with respect to t, we get:

da/dt = 5

Now we can substitute the values we have found into the formula for dI/da:

dI/da = (dI/dt) / (da/dt) = 1 / 5 = 1/5

Therefore, the exact value of dI/da is 1/5.

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(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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The real causes of World War I included politics, secret alliances, imperialism, and nationalistic pride.

The nations of Europe were continually vying for dominance and forming alliances in the years preceding the conflict. In 1881, Germany formed an alliance with Italy and Austria-Hungary. All of these nations committed to defending one another in the event that France attacked them. But after that, Italy went and formed a covert alliance with France, declaring they would not support Germany.

In 1892, France and Russia formed an alliance in response to Germany's alliances. Britain and France signed a contract in 1904. France, Britain, and Russia established the Triple Entente in 1907. Germany believed that the strong alliance that surrounded them posed a serious danger to their existence and regional dominance.

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Answer:

m = - 2, c = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + 2x = 3 ( subtract 2x from both sides )

y = - 2x + 3 ← in slope- intercept form

with m = - 2 and c = 3

Answer:

En la imagen te la dejo jajaa

Answer:

96.2

Step-by-step explanation:

The material Nabil need in order to make the second prism is 87.5

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.

So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

L = k × M

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.

So area of first figure = k² × area of second figure

Similarly,

Volume of first figure = k³ × volume of second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

We are given that;

Volume of material= 1000 cm³

Volume of prism= 8.7 cm³

Now,

Find the volume of the first prism using the formula: V = (1/2)bhℓ1, where b is the base, h is the height of the triangle, and ℓ is the length of the prism. Plug in the given values: V = (1/2)(8.7)(8.7)(10) = 378.45 cm³

Find the volume of the second prism using the same formula, but multiply each dimension by 5 since it is a dilation with a scale factor of 5: V = (1/2)(5b)(5h)(5ℓ) = (1/2)(43.5)(43.5)(50) = 46593.75 cm³

Subtract the volume of material he has from the volume of material he needs for both prisms: 1000 - (378.45 + 46593.75) = -45972.2 cm³

Since he needs more material than he has, he needs to get more material with a volume equal to | -45972.2 | cm³ or 45972.2 cm³.

Therefore, by dilation the answer will be 87.5

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The residual of a regression is the difference between the actual value and the predicted value

The values of (a) and (b) are -0.4 and 0, respectively.

The entries are given as:

x  Given  Predicted    Residual

1    -0.7         -0.6             -1

2   2.3         1.95            0.35

3   4.1           4.5              a

4   7.2          7.2              b

The residual of a line of best fit is calculated using:

\(Residual = Actual - Predicted\)

Using the entry headings, the formula would be:

\(Residual = Given - Predicted\)

To calculate the value of (a), we make use of entry (3).

So, we have:

\(a = 4.1- 4.5\)

\(a = -0.4\)

To calculate the value of (b), we make use of entry (4).

So, we have:

\(b = 7.2- 7.2\)

\(b = 0\)

Hence, the values of (a) and (b) are -0.4 and 0, respectively.

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The number represented by n has 2 repeating numbers and n as a fraction in simplest form is 5/33

1. How many repeating digits does the number represented by n have?

The decimal number is given as:

n = 0.1515....

From the above representation, we can see that the digits 1 and 5 are repeated

Hence, the number represented by n has 2 repeating numbers

The decimal number given is expressed as

n = 0.1515....

The digits are repeated after the second decimal place as shown above.

Therefore all we need is to multiply the decimal by 10 to the power of 2 to give

n * 10^2 = 0.1515.... * 10^2

Write the original equation, n = 0.1515... below your equation and then subtract to have:

0.1515.. * 10^2 = n * 10^2 =

n * 10^2 = 15

Divide both sides by 100

n = 15/100

Subtract 1 from the denominator to have;

n = 15/100-1

n = 15/99

5. Write n as a fraction in simplest form.

We have

n = 15/99

Divide 15 and 99 by 3

n = 5/33

Hence, n as a fraction in simplest form is 5/33

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Answer:

1

Step-by-step explanation:

hope this helps <3

The value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle shown in the picture.

From the tangent-chord angle theorem:

Angle CBA = (1/2)[360 - (272x+2)]

Angle CBA = (1/2)[360 - 272x - 2]

Angle CBA = (1/2)[358 - 272x ]

43x = 179 - 136x

179x = 179

x = 1

Thus, the value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.

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Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Two balls are dropped from a height of 5 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. They both experience the same impulse.

The impulse experienced by an object during a collision is given by the change in momentum of the object. Momentum is defined as the product of mass and velocity.

In this scenario, we are not given the masses or the durations of the collisions. However, we can make some assumptions to determine which ball experiences the larger impulse.

Assuming that the balls have the same mass, we can compare their velocities before and after the collision with the floor. Both balls start with the same initial velocity (downward) and experience the same change in velocity (upward) after the bounce. Therefore, the change in momentum and the impulse experienced by both balls should be the same.

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Answer:The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company:

Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

The probability that the airline will have no mishandled bags is 0.0022.

Given that airline A had 6.06 mishandled bags per 1,000 passengers.Let us find the probability that in the next 1,000 passengers, the airline will have no mishandled bags. Here, the mean number of mishandled bags = 6.06.

We need to find the probability that the airline will have no mishandled bags.

Probability of having no mishandled bags = P(X = 0)

The Poisson distribution formula is

P(X = x) = (e^(-λ) * λ^x) / x!

Where λ is the mean number of occurrences of an event in a given interval of time/space.

Here, λ = 6.06 and x = 0.

Thus, the Poisson distribution formula will be:

P(X = 0) = (e^(-6.06) * 6.06^0) / 0!

P(X = 0) = (e^(-6.06) * 1) / 1

P(X = 0) = e^(-6.06)

P(X = 0) = 0.0022011124290586392 (approximately)

Therefore, the probability that in the next 1,000 passengers, the airline will have no mishandled bags is 0.0022 (rounded to four decimal places).

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Answer:

-1+5=4(so-1and5)

-2+6=4(so-2and6)

-4+8=4(so-4and8)

9514 1404 393

Answer:

  4b: 8.6 m/s²; 1.3×10^5 N; 2.1×10^4 N decrease

  5c: -1.6×10^12 J; -1.6×10^12 J

Step-by-step explanation:

i) The acceleration due to gravity is inversely proportional to the square of the distance between the objects. The distance to the shuttle is ...

  1 + (5×10^5)/(6.4×10^5) = 69/64 . . . times the radius of the earth

Then the acceleration due to gravity at the height of the space shuttle is about ...

  (10 m/s²)(64/69)² ≈ 8.6 m/s²

__

ii) The weight of the space shuttle at that height is about ...

  F = ma = (15000 kg)(8.6 m/s²) ≈ 1.3×10^5 N

__

iii) The loss of weight will be ...

  ΔF = m(a1 -a0) = (15000 kg)(10 m/s² -8.6 m/s²)

  = 1.5×10^4×1.4 N = 2.1×10^4 N

____

i) The gravitational potential energy is given by ...

  U = -GMm/r

where M and m are the mass of the earth and the rocket, respectively.

  U = -(6.67×10^-11)(6.0×10^24)(2.5×10^4)/(6.4×10^6) ≈ -1.6×10^12 J

__

ii) At a height of 3×10^4 m, the denominator in the above expression changes from 6.4×10^6 to 6.43×10^6. This changes the gravitational potential energy by a factor of 6.4/6.43 to -1.6×10^12 J

(Note: we're carrying only 2 significant figures in the result in accordance with the rules for precision in such calculations. The change is noticeable at the level of the 4th significant figure, less than 1/2%.)

Answer:

A. 52

Step-by-step explanation:

Find how many months are in 4 years, since there are 4 years between her 13th and 17th birthdays.

There are 12 months in a year, so multiply 12 by 4:

12(4)

= 48

So, there are 48 months in 4 years. Since she buys a new teacup every month, this means she will have bought 48 more teacups.

Add this to the 4 teacups she got on her 13th birthday:

48 + 4

= 52

So, on her 17th birthday, she will have A. 52 teacups

Answer:

(g - 77)

Step-by-step explanation:

Winston has total number of gumdrops = g

He ate gumdrops = 77

To calculate the number of gum drops left with Winston we will subtract the number of gumdrops ate by Winston from total number.

Therefore, expression that represents the gumdrops left with Winston will be,

(g - 77)

The algebraic expression for the given sequence 1, 10, 19 as required to be determined is; a (n) = 1 + ( n - 1 ) 9.

As evident in the task content; it follows that the common difference of the given sequence is constant since; 19 - 10 = 10 - 1 = 9.

On this note, since the nth term of arithmetic sequences take the form;

a (n) = a (1) + ( n - 1 )d

Since the first term is; 1 and the common difference is; 9; the resulting algebraic expression is;

a (n) = 1 + (n - 1)9.

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Answer:

100,000

Step-by-step explanation:

Just multiply