What is the slope of 7; (4 -30)

Answer:

g=44°

k=70°

h= 136°

m= 110°

Answer:

h= 136°

g=44°

m= 110°

k=70°  

Step-by-step explanation:

Have a nice day!

Answer:

\(( { {(x + 4)}^{2}) }^{3} = {(x + 4)}^{6} \)

Answer:

x≤12

Step-by-step explanation:

-48/-4=12 and the symbol means less than or equal to.

the solution to the equation by completing the square is: x = (9/2) ± √(-7k - 47/4).

To solve the given equation by completing the square, we need to rewrite the equation in the form of \((x + a)^2 = b\) , where a and b are constants. This can be done by following these steps:

1. Move all the terms to one side of the equation:

\(5x^2 + 7k + 76 - 9x - 4x^2 = 0\)

2. Combine like terms:

\(x^2 - 9x + 7k + 76 = 0\)

3. Rewrite the equation by completing the square for the x terms. To do this, take half of the coefficient of x (-9/2), square it, and add it to both sides of the equation:

\(x^2 - 9x + (-(9/2))^2 + 7k + 76 - (-(9/2))^2 = (-(9/2))^2\)

4. Simplify:

\((x - (9/2))^2 + 7k + 76 - (81/4) = 81/4\)

5. Combine constants:

\((x - (9/2))^2 + 7k + 47/4 = 0\)

6. Solve for x by taking the square root of both sides:

x - (9/2) = ±√(-7k - 47/4)

7. Add (9/2) to both sides:

x = (9/2) ± √(-7k - 47/4)

Therefore, the solution to the equation by completing the square is: x = (9/2) ± √(-7k - 47/4).

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Answer:

Unfortunately, I cannot see the graph you are referring to, so it is difficult for me to determine the exact value of k. However, I can provide some general guidance on how to determine the value of k when a function is translated vertically.

If a function f(x) is translated vertically by a distance k, the new function g(x) would be given by:

g(x) = f(x) + k

In other words, to translate a function vertically, we add a constant to the function's output (y-value). So if the given function is:

f(x) = []*

and it is translated vertically to:

g(x) = (-²)* - " +1(x) + k

then the value of k would be the amount of the vertical translation. This would be the amount that the graph of g(x) is shifted up or down compared to the graph of f(x).

Without more information or context, I cannot determine the exact value of k, but hopefully this explanation helps you to understand how to approach this type of problem.

Step-by-step explanation:

The Value of k in function translation is 3.

To find the value of k, we need to look at the translation of the function. The + sign indicates a horizontal translation to the right, and the - indicates a vertical translation downward.

From the given graph, we can see that the translation is 1 unit to the right and 3 units downward.

Therefore, the value of k is 3.

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The speed of the wind is 20 mph that is steeper.

The distance from the plane from its initial location is 800 miles.The plane took 10 hours while traveling to Tokyo.

Let the speed of the plane in still air be x and let the speed of the wind be y

The speed of the plane with the wind is equal to

x + y speed = distance/time

⇒ x + y = 800/10

⇒ x + y = 80 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - (1)

Now, the plane took 20 hours while returning from Tokyo against the wind. The speed of the plane against the wind is equal to

x - y speed = distance/time

⇒ x - y = 800/20

⇒ x - y = 40 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  - - - - - - (2)

Add equation (1) and equation (2)

2x = 120⇒ x = 60

The speed of the plane in still air is 60 miles per hour (mph).

Therefore, the correct option is the 60 mph.Note:If you want to calculate the wind speed, substitute x in equation (1) or (2).

Let’s substitute x in equation (1)

x + y = 80

⇒ 60 + y = 80

⇒ y = 20

The speed of the wind is 20 mph.

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Answer: \(\frac{(x+4)(x-1)}{(x+4)(x+2)}\) which is the same as \(\frac{x^2+3x-4}{x^2+6x+8}\)

If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)

==========================================================

Explanation:

We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.

Multiply top and bottom of this given fraction by (x+4) to get \(\frac{(x+4)(x-1)}{(x+4)(x+2)}\)

Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion \(x \ne -4\) sticks around to make sure the domains line up properly.

----------

Optionally you can expand out each product in the numerator and denominator to get

(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4

(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8

I used the FOIL rule

So, \(\frac{(x+4)(x-1)}{(x+4)(x+2)} = \frac{x^2+3x-4}{x^2+6x+8}\)

Answer:

A) Scale factor from A to B is 2

B) Length of left side is 3 and length of right side is 5.

Step-by-step explanation:

A) Length of the top side is 2.5 in A and is 5 in polygon B. 5/2.5 = 2, therefore scale factor is 2.

B) Because the scale factor is 2, each of the sides double while the angles stay the same. Therefore, the length of the side on the left is 3 and length of the side on the right is 5.

1.5 x 2 = 3

2.5 x 2 = 5

Part (a)

Divide the upper horizontal lengths of the two figures:

5/2.5 = 2

The scale factor is 2. This means figure B has side lengths twice as long compared to figure A.

=======================================================

Part (b)

The missing side length seems to be the diagonal side of figure B. I'm not sure what's going on with the vertical side 89.4 as that should be 3 instead (since 1.5*2 = 3).

The diagonal side is 5 units long since we double 2.5 to get 5.

Answers:

vertical side = 3

diagonal side = 5

The blue yard is 8 Each below

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

f2 = 19 and f3 = 34 for the given sequence. the definition of a sequence fn whose domain is the set of all non-negative integers:

To find the values of f2 and f3 for the given sequence, we can use the recursive definition of the sequence.

Given:

f0 = 4

fn = fn-1 + 5n for n ≥ 1

To find f2, we substitute n = 2 into the recursive formula:

f2 = f2-1 + 5(2)

   = f1 + 10

Next, we find f1 by substituting n = 1 into the recursive formula:

f1 = f1-1 + 5(1)

   = f0 + 5

Now, we can substitute the value of f1 into the expression for f2:

f2 = (f0 + 5) + 10

To find f3, we repeat the process:

f3 = f3-1 + 5(3)

   = f2 + 15

Substituting the value of f2 into the expression for f3:

f3 = (f0 + 5 + 10) + 15

Let's evaluate the expressions to find the values of f2 and f3:

f1 = f0 + 5 = 4 + 5 = 9

Substituting f1 into the expression for f2:

f2 = (9 + 10) = 19

Substituting f2 into the expression for f3:

f3 = (19 + 15) = 34

Therefore, f2 = 19 and f3 = 34 for the given sequence.

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Answer:

\(\boxed {x < -4}\)

Step-by-step explanation:

Solve the following inequality:

\(1 + 2x < -7\)

-Subtract \(1\) to both sides:

\(1 - 1 + 2x < -7 - 1\)

\(2x < -8\)

-Divide both sides by \(2\):

\(\frac{2x}{2} < \frac{-8}{2}\)

\(\boxed {x < -4}\)

The number line:

Answer:

\(\frac{27y^6}{8x^{12}}\)

Step-by-step explanation:

1) Use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3x^{-5+2}{y^3}}{2z^0yx}) ^3\)

2) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3\times\frac{1}{x^3} y^3}{2x^0yx} )^3\)

3) Use Rule of Zero: \(x^0=1\).

\((\frac{\frac{3y^3}{x^3} }{2\times1\times yx} )^3\)

4) use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3y^3}{2x^{3+1}y} )^3\)

5) Use Quotient Rule: \(\frac{x^a}{x^b} =x^{a-b}\).

\((\frac{3y^{3-1}x^{-4}}{2} )^3\)

6) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3y^2\times\frac{1}{x^4} }{2} )^3\)

7) Use Division Distributive Property: \((\frac{x}{y} )^a=\frac{x^a}{y^a}\).

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

8) Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

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

9) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{(2x^4)^3}\)

10)  Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{26y^6}{(2^3)(x^4)^3}\)

11) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{8x^12}\)

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Answer:

\(\displaystyle \frac{27y^{6}}{8x^{12}}\)

Step-by-step explanation:

\(\displaystyle \biggr(\frac{3x^{-5}y^3x^2}{2z^0yx}\biggr)^3\\\\=\biggr(\frac{3x^{-5}y^2x}{2}\biggr)^3\\\\=\frac{(3x^{-5}y^2x)^3}{2^3}\\\\=\frac{3^3x^{-5*3}y^{2*3}x^3}{8}\\\\=\frac{27x^{-15}y^{6}x^3}{8}\\\\=\frac{27y^{6}x^3}{8x^{15}}\\\\=\frac{27y^{6}}{8x^{12}}\)

Notes:

1) Make sure when raising a variable with an exponent to an exponent that the exponents get multiplied

2) Variables with negative exponents in the numerator become positive and go in the denominator (like with \(x^{-15}\))

3) When raising a fraction to an exponent, it applies to BOTH the numerator and denominator

Hope this helped!

Answer:

Well that whole thing is to the power of 2, so whatever the square root is, it gets multiplied by itself again just to get 111.2, so the solution to that question is 111.2.

Answer:

8n+7

Step-by-step explanation:

Based on the given statement, the correct answer would be:

option A. The statement makes sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must be depressed.

The given statement is discussing a potential relationship between Sally's emotional state of being depressed and her behavior of listening to music. The question asks whether the statement makes sense, is clearly true, or does not make sense, and provides four options to choose from.

Option A states that the statement makes sense and suggests that if Sally is listening to music, then she must be depressed. This option is reasonable because the statement establishes a connection between Sally's depression and her behavior of listening to music. It implies that listening to music is a coping mechanism or an activity she engages in when she experiences depressive feelings.

Therefore, if someone observes Sally listening to music, it can be inferred that she might be in a depressed state at that moment.

On the other hand, options B and C can be eliminated because they make extreme and unsupported claims. Option B suggests that Sally only listens to music when she is depressed, which is not explicitly stated in the given statement. Option C states that if Sally is listening to music, then she must not be depressed, which contradicts the initial connection established between depression and listening to music in the statement.

Option D highlights the incomplete nature of the statement but does not render it entirely senseless. It acknowledges that the statement mentions Sally's behavior of listening to music when she is depressed but does not provide information about other potential reasons she might listen to music.

In summary, option A is the most appropriate choice as it aligns with the established correlation between Sally's depression and her listening to music, while considering the possibility of other reasons for her music listening behavior.

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In order to determine the quotient of 132. 9 divided by 1,000, move the decimal point in 132. 9 three places to the left. (Option D).

In arithmetic, a quotient refers to a quantity produced by the division of two numbers. The number that is being divided is called the dividend, and the number that is being divided by is called the divisor. When dividend is a decimal which is devised by divisor such as 10, 100 and 1000, the place value of the digits decreases. The digits move to the right since the number gets smaller, hence the decimal moves to the left. The number of places the decimal moves is determined by the number of zeros after the one. Hence, if a number is divided by 1000, the quotient will be determined by moving the decimal point left by three places. The quotient of 132. 9 ÷ 1,000 will be 0.1329.

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Answer:

30%

Step-by-step explanation:

since his entire allowance is $150

He spends $45 on college savings so we divide this into 150 to find percent

45/150

0.3

Multiple by 100 to get percent

0.3x100

30%

Hopes this helps please mark brainliest

The ability to order items in a sequence, such as longest to shortest, is known as Seriation.

Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.

Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.

Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.

Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.

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Answer:

It is A, B, and C

The first value was 351.00913.

First, we need to understand that the formula for standard deviation is given by the following equation: sqrt{frac{sum{i=1}^n (xi - \bar{x})^2}{n-1}}

Where, xi is the i th data value, bar{x} is the mean value of all the data values and n is the total number of values.

So, using this formula, we can find the standard deviation of the given three values, which is 136.756475.

We can then use this standard deviation and the other two values to compute the first value.

Let the first value be x.

Then, we have:

Simplifying this equation gives:

\(sqrt{frac{(x-191)^2 + (171)^2 + (-19)^2}{2}} = 136.756475\)

Squaring both sides of the equation and simplifying further gives:

\((x-191)^2 + 171^2 + (-19)^2 = (136.756475)^2 times 2\)

Expanding the left-hand side of the equation and collecting like terms gives:

x^2 - 382x + 36481 = 37442.01826

Rearranging and solving for x gives:

\(x = frac{37442.01826 - 36481}{2} + 191x = 351.00913\)

Therefore, the first value was 351.00913.

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The possible values of x such that 33+x remains a positive integer in ascending order are 1,3,11 and 33.

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer; ....-2, -1, 0, 1, 2, .....

Given the expression, 33+x

Now positive integers are whole numbers ( 1,2,3,...)

To 33/x be the whole number and x is also a positive integer.

33/1 = 33 (1,3 Positive integer)

33/3 = 11 (3,11 Positive integer)

33/11 = 3 (11,3 Positive integer)

33/33 = 1 (33,1 Positive integer)

Hence "The possible values of x such that 33+x remains a positive integer in ascending order are 1,3,11 and 33".

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\(answer = Rs 1449\\ solution \\ marked \: price = rs \: 1400 \\ discount \: percent = 10 \: percent \\ discount \: amount = \: discount \: percent \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 10 \: percent \: of \: 1400 \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 140 \\ \\ sp = mp - \: discount \\ \: \: \: \: \: \: \: = 1400 - 140 \\ \: \: \: \: \: = 1260 \\ vat \: amount = \: vat \: percent \: of \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: 15 \: percent \: of \: 1260 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 189 \\ sp \: with \: vat = \: sp + \: vat \: amount \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1260 + 189 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = Rs1449 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

The area of the region bounded by the curve r = 9cos(θ) and the sector 0 ≤ θ ≤ π/6 is \($27\pi/8 - 81/8\times \sqrt{3}$\)

The curve r = 9cos(θ) is a polar curve that forms a half-circle with a radius of 9/2. To find the area of the region bounded by this curve and the sector 0 ≤ θ ≤ π/6, we can use the formula for the area of a polar region:

\($A = \frac{1}{2} \int_{a}^{b} r(\theta)^2 d\theta$\)

In this case, a = 0 and b = π/6, and the curve is given by r(θ) = 9cos(θ). Substituting these values into the formula, we get:

\($A = \frac{1}{2} \int_{0}^{\frac{\pi}{6}} (9\cos(\theta))^2 d\theta$\)

Simplifying and evaluating the integral gives:

\(A = \frac{1}{2} \int_{0}^{\frac{\pi}{6}} 81\cos^2(\theta) d\theta\\\\ = \frac{1}{2}\left(\frac{81}{2}\cdot\frac{\pi}{6}+\frac{81}{4}\cdot\sin\left(\frac{\pi}{6}\right)\right)\\ \\ = \frac{27\pi}{8} - \frac{81}{8}\sqrt{3}\)

Therefore, the area of the region bounded by the curve r = 9cos(θ) and the sector 0 ≤ θ ≤ π/6 is \($27\pi/8 - 81/8\times \sqrt{3}$\)

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Answer:

x=14

Step-by-step explanation:

4(x-7)= 14(2)

4x - 28 = 28

4x = 56

x = 14

Answer:

B. the graph decreases remains contant then decreases again i beleive

Step-by-step explanation:

On a coordinate plane, a graph decreases, is constant, and then decreases is best described by

The graph decreases, remains constant, then decreases again.

Option B is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

On a coordinate plane, a graph decreases, is constant, and then decreases.

This means that,

The graph is decreasing first.

The graph remains constant after it decreases.

The graph again decreases.

From the given options, we see that,

The graph increases, remains constant, then increases again.

This is not true.

The graph decreases, remains constant, then decreases again.

This is true.

The graph increases, remains constant, then decreases.

This is not true.

The graph decreases, remains constant, then increases.,

This is not true.

Thus,

On a coordinate plane, a graph decreases, is constant, and then decreases is best described by

The graph decreases, remains constant, then decreases again.

Option B is the correct answer.

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When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

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The slope-intercept equation for the given line is y = 2x + 3

From the question, we are to determine the equation for the line

The slope-intercept form of the equation of a straight line is

y = mx + b

Where m is the slope

and b is the y-intercept

First, we will determine the slope

Slope of the line = (3 - 0) / (1.5 - 0)

Slope of the line = 3/1.5

Slope of the line = 2

∴ m = 2

On the graph, we can observe that the y-intercept is 3

∴ b = 3

Thus,

The equation becomes

y = 2x + 3

Hence, the slope-intercept equation for the given line is y = 2x + 3

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The problem involves finding the sample average value above which only 5% of sample averages would lie. We are given the average and standard deviation for the number of patients treated per dental clinic in Australia, which are 3381 and 408 respectively. A sample of 104 dental clinics is chosen, and we need to determine the sample average value.

To find the sample average value above which only 5% of sample averages would lie, we need to calculate the z-score corresponding to a 5% probability in the upper tail of the standard normal distribution. This z-score represents the number of standard deviations above the mean.
Using the given standard deviation of 408 and the sample size of 104, we can calculate the standard error of the mean, which is the standard deviation divided by the square root of the sample size (408 / sqrt(104)).
Next, we can calculate the z-score using the standard normal distribution table or a statistical calculator. A z-score of 1.645 corresponds to the 5% probability in the upper tail.
Finally, we multiply the standard error of the mean by the z-score to obtain the margin of error. The sample average value above which only 5% of sample averages would lie is found by adding the margin of error to the given average (3381) and rounding to the nearest whole number of patients.

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