Evaluate [(30 + 6) − 32] ÷ 9 ⋅ 2. (1 point) im doubting myself

The value which shows the true solution to the given logarithmic equation is 1.

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The given logarithmic equation is,

\(\rm log_{2} (x) + log_{2} (x +7) = 3.\)

Use the addition property of log in the above expression.

\(\rm log_{2} (x \times (x +7) )= 3.\\ (x \times (x +7) ) = 2^{3} \\x \times (x +7) = 8\\x^{2} +7x-8=0\)

Solve the quadratic equation we get,

\((x+8)(x-1)=0\)

x = -8, 1

Here, the logarithmic function is defined only for positive real numbers as its input.

Thus, the value which shows the true solution to the logarithmic equation solved above is 1.

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Answer:X=1

Step-by-step explanation:b on edge

In this case, we have stems ranging from 10 to 17, with a total of 8 observations in each stem. Therefore, the total number of observations in the data set is 8 x 8 = 64. None of the answer choices provided match this value, so there may be a mistake in the question or answer choices.

To determine the total number of observations in the data set, you need to count the number of leaves in the stem and leaf plot. Unfortunately, you did not provide the actual plot. However, I will explain the steps to find the total number of observations:

1. Look at each stem (the left side of the plot) and count the number of leaves (the numbers on the right side) associated with that stem.
2. Add the number of leaves for each stem together.
3. The sum of the leaves from all the stems represents the total number of observations in the data set.

Once you have counted the leaves in the provided stem and leaf plot, compare the total number of observations to the provided options A. 12, B. 19, C. 22, and D. 33 to find the correct answer.

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A Park worker recorded the height of Trees in a park. The stem and leaf Plot represents the recorded data

was was the total number of Observations in the data connection

A.12

B.19

C.22

D.33

Answer: 3750

Step-by-step explanation:

f(x) = \(4\sqrt[3]{x} - 8\)

Let's replace f(x) with y

y = \(4\sqrt[3]{x} - 8\)

Switch the x and y

x = \(4\sqrt[3]{y} - 8\)

Now, let's solve for y. Start off by adding 8 to both sides.

x + 8 = \(4\sqrt[3]{y}\)

Divide both sides by 4

\(\frac{x}{4} + 2\) = \(\sqrt[3]{y}\)

Take each side by the power of 3

\((\frac{x}{4} + 2)^{3}\) = y

Now, let's replace y with \(f^{-1}(x)\)

\(f^{-1}(x)\) = \((\frac{x}{4} + 2)^{3}\) is the inverse

Answer:

14.5

Step-by-step explanation:

Based on this information, the conclusions that can be drawn from the confidence interval are a. The point- estimate (sample proportion) for those speeding through the intersection is 0.56.

Given that the 99% confidence interval for the proportion of those speeding through the intersection is (0.42633,0.69727), the point estimate (sample proportion) for those speeding through the intersection is 0.56, which is greater than 0.50.
Therefore, there is enough evidence to conclude more than 50% of all motorists are speeding through intersections. The margin of error is given by the formula (b-a)/2, where 'a' and 'b' are the lower and upper bounds of the confidence interval.
Therefore, the margin of error is (0.69727 - 0.42633)/2 = 0.135 (rounded to 3 decimal places).
The standard error is the formula given by the formula: standard error = \(\sqrt{((p \times q) / n)}\), where 'p' and 'q' are the sample proportions of the two possible outcomes and 'n' is the sample size. Therefore, the standard error is\(\sqrt{((0.56 \times 0.44) / 89)} = 0.0525\) (rounded to 3 decimal places).
The confidence interval becomes narrower as the confidence level decreases. Therefore, a 95% confidence interval for the same sample would be wider than the 99% confidence interval. If this study were repeated, there is a 99% probability that the calculated confidence interval would contain the true proportion of everyone speeding through an intersection.

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Answer:

6.6

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

6 + 8 + 2 + 12 + 5 = 33

33 / 5 = 6.6

plz mark brainliest

Answer:

58 tourists

Step-by-step explanation:

25% = .25

.25 x 232

=58

False. the normal curve reaches the horizontal axis in 4 standard deviations above and below the mean.

The normal curve, also known as the bell curve or Gaussian distribution, extends to infinity in both directions. It does not reach the horizontal axis, even at extreme values. The tails of the curve become increasingly close to the horizontal axis but never touch it. The standard deviations are used to measure the spread or width of the curve, but they do not determine where the curve intersects with the horizontal axis.

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Answer:

:)

Step-by-step explanation:

It's 8 percent! Mark brainliest pls

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

Answer:

Step-by-step explanation:

You can see that the Red figure is flipped over the x-axis, therefore:

The transformation is a reflection over the x-axis

Answer:

8 cups = 2 quarts

Step-by-step explanation:

Answer:

Eight cups will give you 2 quarts of water

Answer:

  s = 5(30 -s)

Step-by-step explanation:

The given relations support a system of equations:

  s = 5h . . . . . . . . . . 5 times as many shirts as hats

  s + h = 30 . . . . . . . 30 shirts and hats together

__

If you want to write a single equation, you could write ...

  s = 5(30 -s) . . . . . the number of shirts is 5 times the number of hats, and the number of hats is the difference between 30 items and the number of shirts.

Answer:

r^14

multiply r^5xr^9 by adding the exponents

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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The expression of y - 4 = -2 ( x- (-4) ) in standard form is 2x + y = -4.

Standard form for the equation of a line is Ax + By =C where A is a positive integer and B and C are integers

A standard form is a method of writing mathematical concepts like an equation, expressions, or numbers in standard form. Example: 2.5 billion years is written as 2,500,000,000 years.

Given expression is,

y - 4 = -2(x-(-4))

y - 4 = -2 (x+4)

y - 4 = -2x - 8

Add 2x to each side

2x + y - 4 = 2x - 2x - 8

2x + y - 4 = - 8

Add 4 from each side

2x + y - 4 + 4  = - 8 + 4

2x + y = -4

Therefore,

The expression of y - 4 = -2 ( x- (-4) ) in standard form is 2x + y = -4.

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Using the definition of slope, the points (-2 , 6), (0 , 2), and (1 , 0) are collinear.

Three or more points are said to be collinear if they lie on a single straight line.

To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

m = (y2 - y1)/(x2 - x1)

Getting the slope of each pair of points:

(-2 , 6) and (0 , 2)

m = (y2 - y1)/(x2 - x1)

m = (2 - 6)/(0 - -2)

m = -4/2

m = -2

(0 , 2), and (1 , 0)

m = (y2 - y1)/(x2 - x1)

m = (0 - 2)/(1 - 0)

m = -2/1

m = -2

(-2 , 6) and (1 , 0)

m = (y2 - y1)/(x2 - x1)

m = (0 - 6)/(1 - -2)

m = -6/3

m = -2

Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is equal with each other, then they are collinear.

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Given the standard basis vectors and the corresponding images under the linear transformation T, we can determine the image of a specific vector using the linear transformation properties.

To find T([1,3,-2]'), we can express [1,3,-2]' as a linear combination of the standard basis vectors: [1,3,-2]' = 1e1 + 3e2 - 2e3. Since T is a linear transformation, we can apply it to each component of the linear combination. Using the given images of the basis vectors, we have T([1,3,-2]') = 1T(e1) + 3T(e2) - 2T(e3).

Substituting the values of T(e1), T(e2), and T(e3), we get T([1,3,-2]') = 1*(-3,-4,4)' + 3*(0,4,-1)' - 2*(4,3,2)'. Simplifying the expression, we obtain T([1,3,-2]') = [-3,-4,4]' + [0,12,-3]' - [8,6,4]'. Combining like terms, we have T([1,3,-2]') = [-3+0-8, -4+12+6, 4-3-4]' = [-11,14,-3]'. Therefore, T([1,3,-2]') = [-11,14,-3]'.

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Answer:

rate: 24:2

unit rate: 12:1

Step-by-step explanation:

Given function:

What is the rate?:

24 inches would be the first digit and 2 feet would be the second one..

the rate would be 24:2..

What is the unit rate?:

unit rates would be the lowest form which means that you have to find a equivalent factor to find the unit rate..

24*2=12, 2*2=1

this also means 12:1

Therefore, the rate of 24 inches and 2 feet is 24:2 and the unit rate would be 12:1.

Answer: 3.46 grams.

Step-by-step explanation:

The area of the region consisting of all points Charlyn can see during her walk is 49sq/km.

Algebra aids in the solution of mathematical problems and enables the derivation of unknown numbers, such as interest rates, ratios, and percentages. In order to recast the equations, we can express the associated unknown values using variables from algebra.

Given that, path visible = 1km

Each Side of the boundary = 5km long

This would be the same as having a 1 km border all the way around a 5km square, thus (5+2) * (5+2) = 49 sq/km

Hence, the area of the region consisting of all points Charlyn can see during her walk is 49 sq/km.

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The area of the region consisting of all points Charlyn can see during her walk is 49sq/km.

this is a question of algebra and solution is as follows: -

Given that, path visible = 1km

Each Side of the boundary = 5km long

This would be the same as having a 1 km border all the way around a 5km square, thus (5+2) * (5+2) = 49 sq/km

Hence, the area of the region consisting of all points Charlyn can see during her walk is 49 sq/km.

Algebra

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

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Answer:

3/8

Step-by-step explanation:

He purchased 3/4 yard of fabric, then used 3/8 of it. You would need to subtract the 3/8 from 3/4 because the fabric is being used up.

Answer:

I'ma say 440 sorry if I'm wrong

Step-by-step explanation:

For the MSE loss of a linear model, the critical point is a minimizer. The second derivative test shows that any deviation results in a higher loss.

The mean squared error (MSE) loss of a linear model f(x) = yx, given the observed data {li, Yi}, i = 1,...,n, is given by:

L(y) = (1/n) * ∑i=1 to n (Yi - y*li)^2

To find the critical point of this function, we need to differentiate it with respect to y and set it equal to zero:

dL(y)/dy = (1/n) * ∑i=1 to n 2*(Yi - yli)(-li) = 0

Simplifying this expression, we get:

∑i=1 to n (Yi * li) - y * ∑i=1 to n (li^2) = 0

Rearranging the terms, we get:

y = (∑i=1 to n (Yi * li)) / ∑i=1 to n (li^2)

This is the critical point of the MSE loss function for the given linear model. To show that this critical point is indeed the minimizer of the loss, we can use the second derivative test. Taking the second derivative of the loss function with respect to y, we get:

d2L(y)/dy2 = (2/n) * ∑i=1 to n (li^2)

Since the second derivative is positive for all values of li, this means that the critical point is a minimum.

Intuitively, this makes sense because the MSE loss measures the average squared difference between the predicted values (y*li) and the actual values (Yi). By minimizing this difference, we are finding the best fit line for the given data points. The critical point is indeed the minimizer of the loss.

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Answer:

1.44 Kilograms

Step-by-step explanation:

To find out the weight of the apples, you have to divide 7.2 by 5.

7.22/5=1.44

1.44 kilograms of apples sold.

Because the weight of the apples is only 1/5, there is no adding needed.

Answer:

The statements which describe A'B' is:

A'B' and AB are equal in length ⇒ (B)

Step-by-step explanation:

Let us take about reflication:

⇒ Reflections are mirror images, means the shape or the size of

   the figure does not affect by reflection, think of "folding" the

   graph over the y-axis or the x-axis

⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in

    the y-axis and used the formula (x, y) → (x, -y) for a reflection in

    the x-axis.

In our question segment AB, where A = (1, 3) and B = (5, 3) is

reflected about the y-axis

By using the rule above

∴ A' =(-1, 3)

∴ B' = (-5,3)

∵ Reflection does not change the shape or the size of the original figure

∴ Line segment A'B' has the same length of line segment AB

The correct answer is:

A'B' and AB are equal in length

You can check your answer by finding the lengths of AB and A'B'

∵ The length of AB = 5 - 1 = 4 units

∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units

∴ AB = A'B'

Note:

If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Answer:  sometimes

Step-by-step explanation:

Answer:

.16

Step-by-step explanation:

if you divide 2 min into 12 it's going to give you the rate which is .1666666667 and just say .16 each person