For what value of x does 9= (1/27)^a+3?

In the given experiment, if the relative frequency of event A is 13.13% and the experiment is performed 30 times, you can expect event A to occur approximately 3.939 times.

The relative frequency of an event is the ratio of the number of times the event occurs to the total number of trials or experiments conducted. In this case, the relative frequency of event A is 13.13%. To calculate the expected number of occurrences of event A, we need to multiply the relative frequency by the total number of experiments.

First, we convert the relative frequency to a decimal by dividing it by 100: 13.13/100 = 0.1313. Next, we multiply this decimal by the total number of experiments, which is 30: 0.1313 * 30 = 3.939. Therefore, you can expect event A to occur approximately 3.939 times in the 30 experiments.

It's important to note that the expected number of occurrences is an average based on the relative frequency. In reality, the actual number of occurrences may vary from the expected value due to the randomness inherent in the experiment. However, over a large number of trials, the expected number of occurrences should converge towards the relative frequency.

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Answer:

Step-by-step explanation:

Answer:

405

Step-by-step explanation:

Answer:

405

Step-by-step explanation:

The horizontal asymptote of function f(x) is y=6.5, which is a straight line, which means that even if time is infinite, the pH of the mouth will not rise above 6.5, which is the normal pH of the mouth.

A function's horizontal asymptote is a horizontal line with which the function's graph appears to coincide but does not actually coincide. The horizontal asymptote is used to determine the behavior of the function.

When either lim x f(x) = k or lim x - f(x) = k, the horizontal asymptote of a function y = f(x) is a line y = k. . It is commonly abbreviated as HA. In this case, k is a real number that the function approaches when x is extremely large or extremely small.However, the maximum number of asymptotes that a function can have is 2.

Given,

\(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\)

The horizontal asymptote of the function f(x) can be determined by

\(y=\lim_{x \to \infty} f(x)\\\\=\lim_{x \to \infty}\frac{6.5x^2-89.4x+3734}{x^2+576}\\\\=\lim_{x \to \infty}\frac{x^2(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{x^2(1+\frac{576}{x^2})}\\\\=\lim_{x \to \infty}\frac{(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{(1+\frac{576}{x^2})}\\\\=\frac{(6.5-\frac{89.4}{ \infty}+\frac{3734}{ \infty})}{(1+\frac{576}{ \infty})}\\\\=\frac{6.5-0+0}{1+0}\\\\=\frac{6.5}{1}=6.5\)

Thus, the horizontal asymptote of function f(x) is y=6.5 which is straight line which means even the time reaches infinity the pH of mouth will not increase more than 6.5, which is the normal pH of mouth.

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Your question is incomplete, here is the complete question.

The function \(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\) models the pH level f(x) of a mouth x minutes after eating food containing sugar. The graph of this function is shown.

What is the equation is the horizontal asymptote associated with is function? Describe what this means in terms of mouth's pH level over time.

A factor is the product of one number multiplied by another number. When you multiply two or more numbers together, the original numbers are called factors.

Consider the following example: Factor pairs are two numbers that, when multiplied together, produce a specific product. The factor pairs of 12 are:1 x 12 = 122 x 6 = 123 x 4 = 12A factor is a number that divides into another number evenly. A factor is a divisor. Every number has at least two factors: one and itself.

A factor of a number is any number that divides into it evenly, leaving no remainder. Therefore, the correct answer to the given blank is A. Factor.

Factors are numbers that are multiplied to obtain a result, and they are commonly used in mathematics. They're an important component of problem-solving. In factoring, you'll break down an equation into smaller parts to make it more manageable, and then combine those smaller parts to solve the problem.

Factorization is the process of writing a number as a product of two or more factors. For example, the factorization of 12 is 2 × 2 × 3. The prime factorization of a number is the factorization in which all factors are prime.

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The best description of the data on the line plot is: "D. The data is symmetric, with a range of 4. This might happen because the most popular price of a book at this store is $4."

A symmetric data on a line plot means that the data is evenly distributed around the center. In other words, the data points on one side of the center are mirror images of the data points on the other side of the center.

For example, the set of data values displayed on the line plot shows that the data points on one side of the line (the center) are balanced by the data points on the other side of the line. This indicates that the data is evenly distributed and has no significant skewness or bias towards one side.

The range of the data = 6 - 2 = $4.

The mode is also $4

Therefore, the correct option is: option D.

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Answer:

110 cards were sold on Mother's Day

Step-by-step explanation:

Bob's gift shop sold 20% of all the cards sold on Mother's Day.

Let the number of cards sold on Mother's day be m

Bob sold 20% of m or 0.2m

We know that 0.2m is 22, so now we can solve for m

110 cards were sold on mothers day

Note

We know that 0.2 is 1/5, so instead of dividing each side by 0.2, we could have multiplied both sides by 5

-Chetan K

Answer:

[-3,5)

Step-by-step explanation:

Compound inequality

2x - 3 < 7

And

5 - x ≤ 8

The solution is the conjunction of the individual solutions because both conditions must be met.

From the first inequality we get:

2x < 7 + 3

2x < 10

x < 5

From the second inequality we get:

- x ≤ 8 - 5

- x ≤ 3

Multiplying by -1 and flipping the sign:

x ≥ -3

Thus the solution is the set of numbers that lie in the interval [-3,5)

Wyatt's calculated total earnings for the month of February is 1374.75

To find out how much Wyatt earned in all in February, we need to add up his earnings for each week.

Wyatt earned 316.50 each week for the first three weeks, so his total earnings for those three weeks were:

3 × 316.50 = 949.50

Wyatt earned 425.25 the last week of February, so his total earnings for that week were:

1 × 425.25 = 425.25

To find Wyatt's total earnings for February, we can add up his earnings for each week:

949.50 + 425.25 = 1374.75

Therefore, Wyatt earned a total of 1374.75 in February.

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The amount of each type of bills that Elizabeth has is given as follows:

The amounts are obtained by a system of equations, for which the variables are given as follows:

She has a total of $101, hence:

x + 5y + 10z = 101.

She has five more $5 bills than $10 bills, hence:

y = z + 5.

She has four times as many $1 bills than $10 bills, hence:

x = 4z.

Replacing the second and third equations into the first, the value of z is obtained as follows:

4z + 5(z + 5) + 10z = 101

19z = 76

z = 76/19

z = 4.

Hence the values of x and y are given as follows:

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The given expression, 32 ÷ (2 ⋅ 8) + 24 ÷ 6, is evaluated as follows:

a) First, perform the multiplication inside the parentheses: 2 ⋅ 8 = 16.

b) Next, perform the divisions: 32 ÷ 16 = 2 and 24 ÷ 6 = 4.

c) Finally, perform the addition: 2 + 4 = 6.

To solve the given expression, we follow the order of operations, which states that we should perform multiplication and division before addition. Here's the step-by-step solution:

a) First, we evaluate the expression inside the parentheses: 2 ⋅ 8 = 16.

b) Next, we perform the divisions from left to right: 32 ÷ 16 = 2 and 24 ÷ 6 = 4.

c) Finally, we perform the addition: 2 + 4 = 6.

Therefore, the result of the given expression, 32 ÷ (2 ⋅ 8) + 24 ÷ 6, is 6.

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the wire has uniform density, the center of gravity is located at the centroid of the quarter-circle, which is (4/3, 4/3).

The center of gravity (x¯,y¯) of the wire lies on the line of symmetry, which passes through the origin and the centroid of the quarter-circle.

The centroid of a quarter-circle with radius 6 is located at (4/3, 4/3) from the origin (as derived using calculus). Thus, the line of symmetry passes through the origin and (4/3, 4/3).

The equation of the line passing through two points (x1, y1) and (x2, y2) is given by:

(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1)

Substituting (x1, y1) = (0, 0) and (x2, y2) = (4/3, 4/3), we get:

(y - 0) / (x - 0) = (4/3 - 0) / (4/3 - 0)

Simplifying, we get:

y = x

Therefore, the center of gravity (x¯,y¯) is located on the line y = x.

Since the wire has uniform density, the center of gravity is located at the centroid of the quarter-circle, which is (4/3, 4/3).

Hence, x¯=y¯=4/3.

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Answer:

D

Step-by-step explanation:

Answer:

IT'S BBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

edge2021 ;)

The vector as a linear combination of standard unit vectors i and j is,

⇒ - i + 7j

We have to given that;

The initial and terminal points of RS are given below,

⇒ R(11, -4) and S(10, 3)

Hence, We can write as;

R = 11i - 4j

S = 10i + 3j

Hence, The vector as a linear combination of standard unit vectors i and j is,

⇒ RS = S - R

         = (10i + 3j) - (11i - 4j)

         = - i + 7j

Thus, The vector as a linear combination of standard unit vectors i and j is,

⇒ - i + 7j

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A residual is the difference between the observed value of y and the predicted value of y (y-hat) based on the regression equation.

In other words, it is the amount of variation in the data that is not explained by the regression model. For a given set of data with paired observations of x and y, there is one residual for each observation. These residuals are used to assess the accuracy of the regression model and can help identify outliers or areas where the model may need to be improved.

A residual is the difference between an observed value of a dependent variable (y) and its predicted value, based on a regression model. In a given set of data with paired observations of x and y, the number of residuals will be equal to the number of observations. So, if you have n paired observations, there will be n residuals.

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Answer:

Equation of parabola in vertex form:
y = -5( x + 1)² + 3

Equation of parabola in standard form:
y = -5x² -10x - 2

Step-by-step explanation:

The vertex form equation for a parabola is

y = a(x - h)² + k

where (h, k) is the vertex and a is a constant

Given (h, k) = (- 1, 3)
h = -1 , k = 3

y = a( x - (-1) )² + 3
y = a(x + 1)² + 3

To find a, we know the parabola passes through point(- 2, - 2). Plug in x = -2, y = -2 and solve for a

- 2 = a( -2 + 1)² + 3

-2 = a(-1)² + 3

-2 = a · 1 + 3

-2 = a + 3

Subtract 3 from both sides:

-2 - 3 = a + 3 -3

-5 = a

or

a = -5

Equation of parabola in vertex form:
y = -5( x + 1)² + 3

The standard form of this parabola is y = ax² + bx + c

Expand (x + 1)² = x² + 2 · 1 · x + 1² = x² + 2x + 1

Therefore

y = -5( x + 1)² + 3 becomes
y = -5( x² + 2x + 1) + 3

y = -5x² -10x - 5 + 3

y = -5x² -10x - 2

Answer:

11

Step-by-step explanation:

Subtract:

-8 + x = 3

+8        +8

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

    x = 11

Hope this helped.

Answer:

x = 11

Step-by-step explanation:

−8 + x = 3

Add 8 to both sides

x = 11 ✓

Answer:

is there more in the question

Answer:

0℃

Step-by-step explanation:

40 degrees- 40 degrees = 0 degrees

thus the temperature will be 0℃

Hope this helped you- have a good day bro cya

Answer:

0°

Step-by-step explanation:

For this question, the sum would be (+)40° - 40° which is 0°

Hope this helps!

Answer:

A better deal is 24 oz for $4.80

Step-by-step explanation:

3.36/16 = $0.21/oz

4.80/24 = $0.20/oz

To figure out this problem, let's set up an equation first to make it easier:

702.50 = 5.5x + 70

x = amount charged per hour

702.50 = 5.5x + 70

-70                   -70

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

632.5 = 5.5x

/5.5       /5.5

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

115   =   x

Owen was charged $115 per hour

9514 1404 393

Answer:

  105 minutes

Step-by-step explanation:

The volume of the terrarium is ...

  V = LWH

  V = (42 in)(10 in)(9 in) = 3780 in³

The volume of a box is ...

  V = (3 in)(3 in)(3 in) = 27 in³

Then the number of boxes it takes to fill the terrarium is ...

  (3780 in³)/(27 in³/box) = 140 boxes

The mermaid wants to fill it 3/4 full, so only needs 3/4 this number of boxes. That is 105 boxes. At the rate of 1 per minute, ...

  it will take 105 minutes to fill 3/4 of the terrarium

Answer:

E. not enough info given

Step-by-step explanation:

If you were talking about the median, it is 50%

If a ≤ b, then it is not true for all real numbers that a²≤ b² .

Consider a ≤ b.

Then squaring on both sides,

⇒ a²≤ b² .

But this is true only when both a and b are non-negative numbers.

For example, if we take a = 2 and b = 5, then clearly,

2² = 4 ≤ 5² = 25

Now we need to prove that this result is not true for all real numbers. So we find two real numbers a and b which does not follow this result.

Let a = -7 and b = 3

So here, a < b

Now a² = (-7)² = 49

and b² = 3² = 9

So here, a² > b².

Thus a = -7 and b = 3 is the required counter example to show that the given result is not true for all real numbers.

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Answer:

to solve for k we will put y=6

The six trigonometric identities are:

Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles. In trigonometry, there are six basic functions, sine, cosine, tangent, cosecant, secant, and cotangent, each of which is represented by a specific letter. These functions are related to each other through a set of identities known as the trigonometric identities.

The six trigonometric identities listed above, are the most commonly used identities, and provide the relationships between the six trigonometric functions and each other. They are useful for solving trigonometric equations, simplifying trigonometric expressions, and solving problems in geometry, physics, engineering and other sciences.

The Pythagorean identity states that the sum of the squares of the sine and cosine of an angle is equal to 1, which is a fundamental relationship between the two functions. The reciprocal identities state that the reciprocal of the sine and cosine of an angle is equal to the cosecant and secant of that angle respectively.

The quotient identities state that the tangent of an angle is equal to the sine of that angle divided by the cosine of that angle, and the cotangent of an angle is equal to the cosine of that angle divided by the sine of that angle.

It's important to note that these identities are valid for all values of the angle, and are true in any angle measurement system (degrees or radians).

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We can use section formula to find the mid - point of the given line segment as it divied the line segment into ratio of 1 : 1

Let the coordinates of mid - point be (x , y)

\(\qquad \sf  \dashrightarrow \: x = \frac{mx_2 - nx_1}{m + n} \)

\(\qquad \sf  \dashrightarrow \: y= \frac{my_2 - ny_1}{m + n} \)

here,

The ratio is m : n ~ i.e equivalent to 1 : 1, meaning m = n = 1.

\(\qquad \sf  \dashrightarrow \: x = \frac{4 - ( - 2)}{1 + 1} \)

\(\qquad \sf  \dashrightarrow \: x = \frac{4 + 2}{2} \)

\(\qquad \sf  \dashrightarrow \: x = \frac{6}{2} \)

\(\qquad \sf  \dashrightarrow \: x = 3 \)

similarly ~

\(\qquad \sf  \dashrightarrow \: y= \frac{6 - ( - 2)}{1 + 1} \)

\(\qquad \sf  \dashrightarrow \: y= \frac{6 + 2}{2} \)

\(\qquad \sf  \dashrightarrow \: y= \frac{8}{2} \)

\(\qquad \sf  \dashrightarrow \: y = 4\)

So, the midpoint of the line segment has coordinates:

Answer:

(1,2)

Step-by-step explanation:

(x,y) = ((x1+x2)/2 , (y1+y2)/2)

[substitute values given]

(x,y) = ((-2+4)/2 , (-2+6)/2)

[solve the equation]

(x,y) = (2/2 , 4/2)

[simplify the values]

(x,y) = (1 , 2)

Answer:

h + t ≥ 8

Step-by-step explanation:

h is for hotdogs and t is for tacos and they must buy no less than 8 (buy 8 or more than 8 altogether)

Option-B is correct that is exponential growth. The new Malthusians fear that a lack of food will result from the population's exponential growth.

Given that,

The new Malthusians worry that ______ of the population will lead to a scarcity of food.

We have to fill the blank.

We know that,

A pattern of data that exhibits larger increases over time, forming the curve of an exponential function, is said to exhibit exponential growth.

The formula for the exponential growth is

V=S×(1+R\()^{T}\)

The starting value, S, of an initial starting point subject to exponential growth can be multiplied by the sum of one plus the interest rate, R, raised to the power of T, or the number of periods that have passed, to get the current value, V.

Therefore, Option-B is correct that is exponential growth. The new Malthusians fear that a lack of food will result from the population's exponential growth.

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