Which of the following equations has infinitely many solutions? A. 2x + 5(2x + 6) = 12x + 30 B. 2x + 5 = 2 C. 2(x + 5) + 2 = 6x + 2(x + 2) D. 5x + 2 = 2x + 6

The domain of a function is the set of all the x terms of the function and the range of a function is the set of all the y terms of a function.

For example, take a look below.

The domain is the set of all x terms in each ordered pair and the

range will be the set of all the y terms in each ordered pair.

Answer:

The answer is number 2

9514 1404 393

Answer:

Step-by-step explanation:

Solving for r when n=2, we have ...

  \(A=P(1+r)^2\\\\\dfrac{A}{P}=(1+r)^2\\\\\sqrt{\dfrac{A}{P}}=1+r\\\\\boxed{r=\sqrt{\dfrac{A}{P}}-1}\)

For the given values of A and P, the value of r is ...

  \(r=\sqrt{\dfrac{5600}{5000}}-1=\sqrt{1.12}-1\approx 1.0583-1\\\\\boxed{r\approx 6\%}\)

Answer:

i) \(\frac38\pi\)

ii) n = 33

Step-by-step explanation:

For this question you can actually focus on the sine, and forget about the e power. The x-coordinates of the extremes of the curve will be the same as for y=sin(4x)

i) equivalent to solving sin(4x) = -1, so 4x = 3/2 pi, x=3/8 pi

ii) The Tn values are at x = (n·π - π/2)/4

solving  (n·π - π/2)/4 > 25 gives:

n > 1/2 + 100/π, so n > 32.331, but n must be integer, so we get n=33

Answer:

The answer is A

Step-by-step explanation:

When you move v's tail to u's head, you see that the vectors align up.

The graph shows (u + v) for the given vectors u and v will be Graph A.

A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

We have,

Four graphs and we have to tell which is the correct graph for (u + v).

So,

To add two vectors, add the corresponding components.

i.e. The sum of u and v  vector = ( u₁ + v₁, u₂ + v₂)

i.e.

Let u = (u₁, u₂)  and

v = (v₁, v₂)

Now,

(u + v) = ( u₁ + v₁, u₂ + v₂)

So,

From Graph A,

We have,

u = (1, 4) and v = (2, -2)

i.e.

u₁ = 1,

u₂ = 4,

v₁ = 2,

v₂ = -2

So,

Using the addition method of vector,

i.e.

(u + v) = ( u₁ + v₁, u₂ + v₂)

Substituting values,

(u + v) = [( 1 + 2), (4 + (-2))]

We get,

(u + v) = (3, 2)

So,

The graph A represents the correct points of (u +v).

Hence, we can say that the graph shows (u + v) for the given vectors u and v will be Graph A.

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Given:

Area of Pacific ocean = 161.8 12 x 10⁶ square kilometers

Area of Atlantic ocean = 85133000 square kilometers

Let's find how many times greater is the area of the pacific ocean than the Atlantic ocean.

To find how many times greater, divide the area of the Pacific ocean by the area of the Atlantic ocean.

Thus, we have:

Therefore, the area of the Pacific ocean is 1.9 times greater than the area of the Atlantic ocean.

ANSWER:

1.9 times

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

The value of f(-0.01) is approximately 0.99005.

To evaluate f(-0.01), we substitute -0.01 into the function f(x) = (1+x)^(1/x). Thus, we have f(-0.01) = (1+(-0.01))^(1/(-0.01)).

Using a calculator, we simplify this expression to f(-0.01) = 0.99005. Therefore, the value of f(-0.01) rounded to five decimal places is approximately 0.99005.

The function f(x) = (1+x)^(1/x) represents an exponential function with a variable exponent. In this case, we are evaluating the function at x = -0.01.

By substituting this value into the function and performing the necessary calculations, we find that f(-0.01) is approximately 0.99005. This means that when x is equal to -0.01, the function value is approximately 0.99005.

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Answer:

Ok, in this problem we first need to define the components parallel and perpendicular to the plane of the inclined plane, so we can project the gravitational component in each one of these. (see the image below to see the change in coordinates)

The perpendicular component will be defined by -cos(pi/12) (because the weight vector points down) and the parallel one is defined by sin(pi/12).

Now, the gravitational force will be, in magnitude, F =  g*w

where g is the gravitational acceleration: g = 9.8m/s^2

Now, the perpendicular projection is:

Pe = -W*9.8m/s^2*cos(3.14/12) = W*9.799 m/s^2 (this component is canceled due to the normal force of the inclined plane)

The parallel projection will be:

Pa = W*9.8m/s^2*sin(3.14/12) = W*0.045 m/s^2

Now, we know that the car is still, then the tension on the cable must be equal in magnitude to this force (but in the opposite direction)

Then the module of the tension of the cable is:

ITI = W*0.045 m/s^2

or

T = -W*0.045 m/s^2 in the parallel axis.

b) The force that the pavement is applying on the car will be the normal force, that is equal to the perpendicular projection of the gravitational force (But again, in opposite direction).

Then the magnitude will be:

INI =  W*9.799 m/s^2

Answer:

The answer is 871.285. your welcome.

If we try to use tail-recursive rules to implement non-tail-recursive rules, it will normally result in rules that are less efficient

Tail recursion is a technique in which the recursive call is the last action performed in a function. This allows the function to return immediately after the recursive call, without the need to keep track of any intermediate calculations. This can make tail-recursive functions more efficient since they do not require additional memory to store intermediate results.

On the other hand, non-tail-recursive functions are not optimized for efficiency in this way. They may perform additional calculations after the recursive call and may need to store intermediate results in memory.

If we try to use tail-recursive rules to implement non-tail-recursive rules, we may end up with rules that are less efficient, since they are not optimized for the specific calculations being performed. This is because tail-recursive rules are optimized for a different type of calculation than non-tail-recursive rules.

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Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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Answer:

You can choose from either one but the answers are (0,-3) and (1,-1)

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

The graph has a normal distribution, mean at 3.6, and a standard deviation of 0.6

Answer:

the Correct Answer Is c

Step-by-step explanation:

PLZ PLZ PLZ MARK AS BRAINLIEST LOL PLZ

Answer:

6.30

Step-by-step explanation:

The expression is given to be:

Recall the multiplication rule of exponent given to be:

Therefore, we can simplify the numerator to be:

Hence, the expression becomes:

Recall the division rule of exponent given to be:

Therefore, the expression becomes:

Evaluating the answer, we have:

Therefore, the answer is:

The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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The horizontal shift is to the right.

The exact period is 8/7.

In a trigonometric function, written of the form

y = A csc (Bx - C)

the parameters are interpreted as follows

A is the amplitude

B is period / 2π

C is the horizontal shift

comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that

horizontal shift = -21π/2 since it is positive it is to the right

The exact period is

Period = 2π / (7π/4)

= 8/7

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Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

Step-by-step explanation:

he has 900-230 = 670 more push-ups to do in the remaining 20 days.

so, he has to do every day

670/20 = 67/2 = 33.5 push-ups.

fractions of push-ups don't make sense.

we cannot say, he has to do at least 33 per day, because then he might come short in the end (if he sticks to the low limit) .

so, we have to say he has to do more than 33 or at least 34 push-ups per day to be sure he will at least reach his goal.

p > 33

or

p >= 34

both should be correct in the context of using only whole numbers.

bur in case of doubt I would pick p >= 34.

Answer:

No, It should be a complete statement/ sentence

Step-by-step explanation:

Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)

Thus, the minimum exam score to be awarded an A is about 8.52.

Answer:

AB and AC

Step-by-step explanation:

Because they are the same length

Answer:

  8π

Step-by-step explanation:

The period of a periodic function is the minimum amount by which the graph must be shifted right or left to map the graph to itself. Often it can be found by looking at the x-value differences of peaks or other identifiable features of the graph.

Here, there are peaks at x = -6π and x = 2π. The difference between these values is ...

  2π -(-6π) = 8π . . . . the period of the graph

__

Additional comment

We note that there is a rising midline crossing at x=0, and another one at x=8π. This confirms the notion that the period is 8π.

Answer: 121,000,609.

From the breakdown of the identity element in group G, we can say that;

It has been proved that ab and ba have the same order.

Let n and m be the order of ab and ba.

Thus;

In this case, e is the identity element of G.

Thus;

e = a(ba)ⁿ ¯ ¹b

Further simplification of this gives;

e = (ba)¯¹

Thus, we can say that;

(ba)ⁿ = e

Since the order m of ba divides n and we can also see that n divides m, it means that;

m = n.

In conclusion, we can say that the orders of ab and ba are the same.

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If you have any further questions, feel free to ask.

A vertical shift occurs when a graph is moved up or down along the vertical axis. A horizontal shift occurs when a graph is moved left or right along the horizontal axis. A reflection occurs when a graph is flipped over the x-axis or the y-axis.

For example, if a graph is moved 3 units up along the vertical axis, this is a vertical shift of 3 units. If a graph is moved 5 units to the right along the horizontal axis, this is a horizontal shift of 5 units. If a graph is flipped over the x-axis, this is a reflection across the x-axis.

In mathematical terms, a vertical shift can be represented as y = f(x) + c, where c is the number of units the graph is shifted vertically. A horizontal shift can be represented as y = f(x - c), where c is the number of units the graph is shifted horizontally. A reflection across the x-axis can be represented as y = -f(x), and a reflection across the y-axis can be represented as y = f(-x).

I hope this explanation helps! If you have any further questions, feel free to ask.

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Check the pictures attached for the answers.