examine the wintegraph of monear function
2.0
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What is the average of charge over the intervall <3 32
Enter your answer as me like this: 42

Answer:

The actual value is -181/20. Estimate could be -200/20

Step-by-step explanation:

H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

A language is referred to as Decidable or Recursive if there is a Turing machine that accepts and halts on every input string w. This tells us that every decidable language is Turing-Acceptable.

Now, we are told that the halting language is reducible to some language B. This means that it is an undecidability via reduction.

Now, Using the idea that “ If A is undecidable and reducible to B, then B is undecidable.” Suppose R decides HALT_TM, we will construct S to decide ATM .

S = “On input (M, B)

This means that H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

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Answer: She took 6 yoga classes

Step-by-step explanation: So first

Subtract

$43.50 - $19.50 = $24

Carry then Divide

$24 / 8 = 6 Classes

PLEASE MARK ME BRAINLIEST!!!

Answer:

1/2

Step-by-step explanation:

Find the domain of the inequality: \(\left \{ {{b > 0} \atop {b\neq 1}} \right.\)

Solve the inequality: b > 0

Convert inequality to equation: b = 1

Solve the equation: b = 1

Convert equation to inequality: b ≠ 1

Find the intersection: 0 < b < 1 or b > 1

The domain of the inequality is: \(\text{log}_b3=\frac{1}{4} ,0 < b, < b < 1\) or\(b > 1\)

Convert logarithm to exponential form: \(b^{\frac{1}{4} }\) = 3, 0 <b<b1 or b > 1

Power on both sides: (b^1/4)^4=3^4, 0<b<1 or b > 1

Simplify using exponent rule (a^n)^m = a^nm:

b = 3^4, 0<b<1 or b > 1

Calculate the power:

b = 81 , 0<b<1 or b > 1

Find the intersection: b = 81

Substitute: \(\text{log}_{81}9\)

Factorize the argument: \(\text{log}_{81} 3^2\)

Express the logarithm of a power of an expression as the power times the logarithm of the expression: \(2*\text{log}_{81} 3\)

Factorize the base: \(2*\text{log}x_{3^4} 3\)

Rewrite the expression using the formula: \(\text{log}_{a^n} b\)

to \((\frac{1}{n} ) \text{log}_ab:\) \(2*\frac{1}{4} *\text{log}_33\)

Apply the power law of logarithm to simplify the expression:

\(2*\frac{1}{4}\)

Reduce the expression to the lowest form:

\(\frac{1}{2}\)

Answer: 1/2

Answer:

\(\log_b9=\dfrac{1}{2}\)

Step-by-step explanation:

\(\textsf{Given}: \quad\log_b3=\dfrac{1}{4}\)

\(\textsf{To find }\log_b9, \textsf{ rewrite 9 as 3}^2:\)

\(\implies \log_b9=\log_b3^2\)

\(\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax\)

\(\implies \log_b3^2= 2\log_b3\)

\(\begin{aligned}\textsf{If }\log_b3& =\dfrac{1}{4}\\\\ \implies 2 \log_b3 & =2 \times \dfrac{1}{4}\\\\ & = \dfrac{2}{4}\\\\ & = \dfrac{1}{2}\end{aligned}\)

\(\textsf{Therefore}: \quad\log_b9=\dfrac{1}{2}\)

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

6x + 4y = -16

-12x + y = -4

ok so we have to make the numbers the same so lets multiple equation 2 by 4

6x + 4y = -16

-48x+4y=-16

so then we just need to subtract

6x-(-48x)=54x

4y-4y=0

-16-(-16)=0

54x=0

0/54=0

x=0

then we just need to plug in

-12x+y=-4

so since x is 0 we can just get rid of it

y=-4

the solution is (0,-4)

now lets just check by pluging into the first equation

-6x+4y=-16

-6(0)+4(-4)=-16

0+-16=-16

-16=-16

(0,-4)

Hope This Helps!!!

Answer:

(0,-4)

Step-by-step explanation:

\(\tt -6x + 4y = -16 \:\:\:\boxed{ 1}\\-12x + y = -4 \:\:\:\: \boxed{ 2}\)

\(\tt -6x + 4y = -16 \:\times2\\-12x + y = -4\: \times 1\)

\(\tt -12x+8y=-32\\\underline{-12x+y=-4~~~~~~~}\\~~~~~~~~~~~~7y=-28\\~~~~~~~~~~~~y=-4\)

Now, put y in (1)

\(\tt -6+4(-4)=-16\)

\(\tt -6x=-16+16\)

\(\tt x=0\)

Hope it helps! :)

The quadratic regression in this case is y = 126.01x2 - 312.04x + 888.88.

An analysis tool called quadratic regression is implemented to identify the parabola equation that perfectly matches a given collection of data. Finding the equation of the straight line that most closely matches a collection of data is the goal of this sort of regression, which is an expansion of simple linear regression.

Step 1:  Input the data sets into the graphing calculator.

Step 2: Choose "Scatter Plot" from the graphing calculator's interface.

Step 3: Choose "Quadratic Regression" from the graphing calculator's toolbar.

Step 4: The calculator will create the equation y=ax2+bx+c, where a, b, and c are constants.

Step 5: Round the constants to the hundredths place, and the best-suited quadratic model's equation will be: y = 0.06x2 - 3.12x + 4.00.

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The graph that represents the equation is:

The graph shows an upward parabola with vertex (2, -6) and passes through (-1, 7), (0, 0), (4, 0), and (5, 7).

Option B is the correct answer.

We have,

The equation y = (3/2)x² - 6x represents an upward parabola since the coefficient of x² is positive.

Now,

The vertex of the parabola.

x = -b/2a,

where a and b are the coefficients of x² and x, respectively.

So,

a = 3/2 and b = -6

x = -(-6)/(2(3/2)) = 6/3 = 2.

Plugging x = 2 into the equation,

We get y = 3/2(2)² - 6(2) = -6,

so the vertex is (2, -6).

We can eliminate options A and C since their vertices are not (2, -6).

Now,

To check which of the remaining options fits the equation, we can plug in the given points and see if they satisfy the equation.

Option B gives:

When x = -1, y = 3/2(-1)² - 6(-1) = 7

When x = 0, y = 3/2(0)² - 6(0) = 0

When x = 4, y = 3/2(4)² - 6(4) = 0

When x = 5, y = 3/2(5)² - 6(5) = 7.5

So option B fits the equation, and is the graph that represents

y = (3/2)x² - 6x.

Therefore,

The graph that represents the equation is:

The graph shows an upward parabola with vertex (2, -6) and passes through (-1, 7), (0, 0), (4, 0), and (5, 7).

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Answer:

x=2

Step-by-step explanation:

I don’t really have an explanation, it was all mental math

Answer:

Step-by-step explanation:

\(\sf 2(4-x)-3(x+3)=-11\)

Expand:-

Now, add 1 to both sides:-

Divide both sides by -5:-

Therefore, the value of x is 2!

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

Hope this helps!

Answer:

The perimeter of the lake is 314m. The perimeter of the park is 339 m. Paul should win the debate.

Step-by-step explanation:

the maximum value will be 2

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

f(x,y) = 2x+y

f'(x,y) = 2+dy/dx

SO the maximum value will be 2

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\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)

\(8ab^{2}:6a^{2}b\\\\=\dfrac{8ab^{2}}{6a^2b}\\\\=\dfrac{2×4×a×b×b}{2×3×a×a×b}\\\\=\dfrac{4b}{3a}\\\\=4b:3a\)

Answer:

Width=85. Length=185. Area=15,725

Step-by-step explanation:

540/2=270, which is the sum of length+width.

270-15=255, so what's left is width+width+width.

255/3=85.

85*2=170

170+15=185

85*185=15,725

As we know that formula of area of circle is πr²

So let's apply formula

π×8.6×8.6

=232.2

=200 is the nearest hundredth.

You have to do rest of all through this method.

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

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Answer:

b. 120°

Step-by-step explanation:

K is any point outside of the circle with center M.

KJ and KL are tangents to the circle at points J and L respectively drawn from point K.

MJ and ML are radii of the circle with center M.

Since, tangent is perpendicular to the radius of the circle.

\( \therefore m\angle MJK = m\angle MLK = 90\degree \\\)

Since, measure of central angle of a circle is equal to the measure of its corresponding minor arc.

\( \therefore m\angle JML = m\widehat {(JL)} \\

\therefore m\angle JML = 60\degree \\\)

Since, JKLM is a quadrilateral. Hence by angle sum postulate of interior angles of quadrilateral JKLM, we have:

\( m\angle JML + m\angle MJK + m\angle MLK \\+ m\angle JKL= 360\degree \\

\therefore 60\degree +90\degree +90\degree +m\angle JKL= 360\degree \\

\therefore 240\degree +m\angle JKL= 360\degree \\

\therefore m\angle JKL= 360\degree-240\degree \\

\huge \purple {\boxed {\therefore m\angle JKL= 120\degree}} \\\)

The measure of angle JKL is 120 degrees and the correct choice is B.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given that K is any point outside of the circle with center M.

Since KJ and KL are tangents to the circle at points J and L respectively drawn from point K. also MJ and ML are radii of the circle with center M.

We know that measure of central angle of a circle is equal to the measure of its corresponding minor arc.

Given, JKLM is a quadrilateral.

The angle sum postulate of interior angles of quadrilateral JKLM, we have:

Angle JKL + 90 + 60 + 90 = 360

Angle JKL = 360 - 240

Angle JKL = 120

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

Area of square = Side²

Step-by-step explanation:

The area of a 2-D region, form, or flattened lamina in the planes is the quantity that represents its extent. On the 2-D surface or 3-D object, surface is its counterpart. A shape's area can be calculated by comparing it to squares of a specific size.

Area of square = Side²

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

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

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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We have a sales tax function defined as:

where half cents are rounded to the nearest cent.

We can calculate it for p = 14.37 as:

In this case, we round down because the third decimal is 2 and is less than 5.

Answer: The correct tax is $0.86.

It will take 150 minutes for the two containers to have the same amount of water.

To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:

m = |A - B| / (a - b)

where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.

In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:

m = |300 - 900| / (6 - 2)

m = |-600| / 4

m = 600 / 4

m = 150 minutes

Therefore, it will take 150 minutes for the two containers to have the same amount of water.

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Answer:

Step-by-step explanation:

Let s, b, a represent the numbers of servings of steak, baked eggs, and acorn squash, respectively. Then the equations we want to solve are ...

  40s +20b +4a = 64 . . . . grams of protein

  10s +2b +20a = 29 . . . . grams of carbohydrate

  1s +20b +32a = 72.5 . . . milligrams of vitamin A

There are any number of calculators or web sites that will solve this system of equations for you. The solution is ...

  s = 0.5

  b = 2

  a = 1

The dietitian should provide 1/2 serving of steak, 2 servings of baked eggs, and 1 serving of acorn squash.

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

106

Step-by-step explanation:

Answer:

Volume = 105 cm³

Step-by-step explanation:

Volume of a cuboid = l × b × h (l = length. b = breadth. h = height)

Volume = 7 × 5 × 3

Volume = 35 × 3

Volume = 105 cm³

Complement of probability, what is the meaning of it?

It is all the outcomes not in the event

The total of probability is 100%

62% of them are in the event

Then the complement is the rest

100% - 62% = 38%

The probabilty of its complement is 38%

Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.