What is the value of 2/2 to the power of -3

Now we can solve for x by simplifying and isolating x on one side of the equation:

3x - x = 7 - 1

2x = 6

x = 3

Therefore, the value of x is 3.

In order to determine whether two lines are parallel, we must compare their slopes. Two lines are only considered parallel if and only if their slopes are equal. The conventional version of the equation is 2x - 3y = 4. Line q must have a slope of -2/-3 = 2/3 as a line with the equation Ax + By = C frequently has a slope of -A/B.

Since <1 and <2 are corresponding angles formed by two parallel lines and a traversal, they are congruent.

m<1 = m<2

(3x-7)* = (x-1)*

We can remove the asterisks on both sides of the equation since they represent the same unit of measurement for the angles.

3x - 7 = x - 1

Now we can solve for x by simplifying and isolating x on one side of the equation:

3x - x = 7 - 1

2x = 6

x = 3

Therefore, the value of x is 3.

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Answer:

x = 1.3

Step-by-step explanation:

cost of rice for 12kg = 12 * x ($x for each kg)

cost of potatoes for 7kg = 7 * (x+1)

total cost = 12 * x + 7 * (x+1) = 31.7

12x + 7x + 7 = 31.7

19x + 7 = 31.7

subtract 7 from both sides to isolate the variable and its coefficient

19x = 24.7

divide both sides by 19 to find x

x = 1.3

The hole for the function f(x) = √(x-2) is x < 2.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A hole in a graph refers to a point where a function is undefined or missing.

Now,

f(x) = √(x-2)

Now,

To determine where this function is undefined, we need to consider the domain of the function, which is the set of all possible values of x that can be input into the function.

Since the square root function is defined only for non-negative numbers, The expression inside √(x-2) must be greater than or equal to zero:

i.e

x - 2 ≥ 0

Solving for x.

x ≥ 2

Therefore,

The function f(x) = √(x-2) is undefined for any value of x that is less than 2.

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The complete question.

what is the hole for this equation f(x) = √(x-2)?

Answer:

F = 1.8C + 32

F= 1.8(15)+32

F= 59

Step-by-step explanation:

Fahrenheit and Celcius are unit that can be used to measure temperature. In this question, you are given the equation to calculate Fahrenheit from Celcius so you just need to put the Celcius into C variable.

                                 ^^^ P.S Kinda copied but yknow it helps

The length of segment WX is given as follows:

8.5 units.

Suppose that we have two points with coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of a segment is given by the distance between it's two endpoints.

Hence the length of segment WX is obtained as follows:

WX = sqrt((-1 - 5)² + (-9 - (-3))²)

WX = 8.5 units.

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Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

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The value  0.875 mm in inches is  0.034448819

in one inch = 25.4  millimeters

so in  0.875mm = 0.975/25.4 inchs.

customs (character: in or ″) is the unit of length in the British Imperial and US systems of measurement.1/36yard or1/12

one leg. A word derived from the Roman uncia ("twelfth"), the inch is sometimes used to convert similar units in other measurement systems that are usually understood to be derived from the width of the human thumb. .

The standard for the exact length of one inch has historically varied, but since its adoption by international shipyards in the 1950s and his 1960s, the inch has been based on the metric system and defined exactly as 25.4 mm. increase.

Q- how to convert 0.875mm in inches?

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Changing the order of the variables when computing the correlation coefficient has no effect on the value of "r" as it measures the strength and direction of the linear relationship between two variables.

The correlation coefficient denoted as "r", measures the energy and path of the linear dating between two variables. It ranges from -1 to one, in which -1 shows a perfect negative correlation, 0 indicates no correlation, and 1 shows an ideal advantageous correlation.

Whilst computing the correlation coefficient, the order of the variables does not have an effect on the cost of "r". This means that whether we calculate the correlation between variable x and variable y, or variable y and variable x, the resulting correlation coefficient will be equal.

That is due to the fact the correlation coefficient measures the degree of linear association between two variables, no matter which variable is taken into consideration because of the explanatory variable and which one is taken into consideration because of the response variable.

Therefore, the correlation between x and y could be similar to the correlation between y and x. But, it's important to observe that the translation of the correlation coefficient may additionally range depending on the research query and the context wherein it's far used.

The course of the connection among variables may also have one-of-a-kind implications relying on the specific state of affairs being analyzed.

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Part A: The numerator in the first fraction is closest to 8, so the fraction is nearest to 1.

To see this, we can simplify the fraction 8/10 by dividing both the numerator and denominator by the greatest common factor, which is 2. This gives us:

8/10 = 4/5

Since the numerator of the simplified fraction is closest to 5, we can estimate that the value of the first fraction is nearest to 1.

Part B: The numerator in the second fraction is closest to 2, so the fraction is nearest to 1/3.

To see this, we can simplify the fraction 2/6 by dividing both the numerator and denominator by the greatest common factor, which is 2. This gives us:

2/6 = 1/3

Since the numerator of the simplified fraction is closest to 1, we can estimate that the value of the second fraction is nearest to 1/3.

Part C: The value of the expression can be estimated as 1 + 1/3 = 1 1/3.

To see this, we can add the two estimated fractions from parts A and B:

1 + 1/3 = 3/3 + 1/3 = 4/3

Since 4/3 is closer to 1 1/3 than any other whole number or fraction, we can estimate that the value of the expression is nearest to 1 1/3.

The change in percentage of y when x increases by 5% will be 25%

Direct proportion is a mathematical comparison between two numbers where the ratio of the two numbers is equal to a constant value.

Given that, y is directly proportional to the square of x. we need to find the percentage increase when x is increased by 5%

Since, Y varies directly as the square of x.

Therefore, the general equation to show the direct variation :-

Y = kx²

Let the value of x be 25

25 will be x as 100%. therefore when x is 100%  the value of y will be

Y = 25²k

= 625k

Increasing the value of x by 5%,  

(105x25)/100 = 26.25

Therefore, 105% of 25 = 26.25.

Applying the variation equation, we obtain

Y = (26.25)²k

= 689.0625k

We will find the percentage change in y caused by an increase of x by 5%

(689.0625x100)/625 = 110.25%

Therefore, to find the percentage change in y when x increases by 5% will be,

(110.25-100)% =10.25%

Hence, the change in percentage of y when x increases by 5% will be 25%

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The measure of each angle if the measure of LQ is 26° less than the measure of R and, LQ and LR are complementary, is:

We can solve this problem by using the definition of complementary angles and setting up an equation.

Since LQ and LR are complementary, we know that the sum of their measures is 90°. So we can write the equation:

LQ + LR = 90°

Next, we are told that the measure of LQ is 26° less than the measure of LR. We can write this as:

LQ = LR - 26°

Now we can substitute the expression for LQ into the first equation and solve for LR:

LR - 26° + LR = 90°

2LR = 116°

LR = 58°

Now we can plug this value back into the equation for LQ to find the measure of LQ:

LQ = 58° - 26°

LQ = 32°

So the measure of LQ is 32° and the measure of LR is 58°. These are the measures of the complementary angles.

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It is proved that x⁻¹/(x⁻¹ + y⁻¹) + x⁻¹/(x⁻¹ - y⁻¹) = 2y²/(y² - x²).

What is an equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it contains no "equal to" symbol. It will be regarded as a phrase.

Given that

x⁻¹/(x⁻¹ + y⁻¹) + x⁻¹/(x⁻¹ - y⁻¹) = 2y²/(y² - x²)

Now solve the left-side expression:

L.H.S =

x⁻¹/(x⁻¹ + y⁻¹) + x⁻¹/(x⁻¹ - y⁻¹)

Now apply the formula a⁻¹ = 1/a:

= (1/x)/(1/x +1/y) + (1/x)/(1/x - 1/y)

= (1/x)/((x+y)/xy) + (1/x)/((y-x)/xy)

Now taking common  (1/x)/(1/xy):

= (1/x)/(1/xy)[1/(x+y) + 1/(y-x)]

= (xy)/(x)[(y - x + x + y)/(x+y) (y-x)]

= y[2y/(x+y) (y-x)]

Applying the algebraic identity (x - y)(x + y) = x² - y²:

= 2y²/(y² - x²)

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Two meter is approximately equal to 78.7402 inches

To convert 1 meter to inches, we can use the following formula:

1 meter = 39.3701 inches

The conversion factor is 39.3701

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in inches = conversion factor × The length in meter

Substitute the values in the equation

2 meter = 39.3701 × 2

Multiply the numbers

= 78.7402 inches ( rounded to four decimal places )

Therefore, one meter is 78.7402 inches

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Answer:1

Step-by-step explanation:

do you mean gcf? if so its 1.

The converted value of the currency 350 euros to dollars is equal to 374.1493 dollars.

The value of One Euro in dollars in todays time is equal to:

1 Euro = 1.068998 U.S. dollars

Now substitute the required converted Euro value we get ,

⇒ 350 Euros = ( 350 ×  1.068998 ) dollars

⇒ 350 Euros = ( 374.1493 ) dollars

Therefore, the value of the currency after conversion 350 euros to dollars is equal to 374.1493  dollars.

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The answers are :- 1) Δ ABC ~ Δ DEF, by AA rule and 2) Δ RTS and Δ MQP are not similar.

Similar triangles are the triangles that look similar to each other, but their sizes might not be exactly the same.

Given are two pairs of triangles, we need to determine if they are similar or not,

1) Δ ABC and Δ DEF :-

We know that, the sum of the interior angles of a triangle is 180°,

Therefore,

∠ A + ∠ B + ∠ C = 180°

60° + ∠ B + 79° = 180°

∠ B = 180°-139°

∠ B = 41°

In Δ DEF,

∠ F = 79° and ∠ E = 60°

That means,

∠ B ≅ ∠ F and ∠ E ≅ ∠ C

Since, we get two corresponding angles congruent,

Therefore, by the definition of similar triangles,

Δ ABC ~ Δ DEF, By AA rule.

2) Δ RTS and Δ MQP :-

∠ R ≅ ∠ M

RT / MQ = TS / QP = 4 / 5

RS / MP = 20 /26 = 10 / 13

That means,

RT / MQ = TS / QP ≠ RS / MP

Since, we have a condition in similarity, that if, in two triangles two corresponding sides are in equal ratio, and an angle between these sides are congruent then the triangle are similar by SAS rule,

But the angle R and angle M is not in between the sides having equal ratio,

Therefore, Δ RTS and Δ MQP are not similar.

Hence, the answers are :- 1) Δ ABC ~ Δ DEF, by AA rule and 2) Δ RTS and Δ MQP are not similar.

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Answer:

Variable p represents "the puppy is tired", and variable q represents "the puppy will sleep".

The statement in symbolic form is: p → q, where the symbol → means "implies" or "if...then".

the contact force between the block and the plane is equal to the normal force, which is equal to the weight of the block (mg) multiplied by the cosine of the angle of inclination (θ). Therefore, the contact force between the block and the plane is mg cosθ.

The contact force between the block and the plane can be determined by analyzing the forces acting on the block.

First, we need to consider the forces acting on the block in the direction parallel to the inclined plane. Since the block is moving with uniform speed, the forces in this direction must be balanced. The forces in this direction are the force due to gravity acting down the inclined plane (mg sinθ) and the frictional force acting up the inclined plane (μmg cosθ). Therefore, we have:

mg sinθ = μmg cosθ

Simplifying this equation, we get:

μ = tanθ

This means that the coefficient of friction between the block and the plane is equal to the tangent of the angle of inclination.

Next, we need to consider the forces acting on the block in the direction perpendicular to the inclined plane. Since the block is not accelerating in this direction, the forces in this direction must also be balanced. The forces in this direction are the normal force acting up the inclined plane (N) and the force due to gravity acting vertically down (mg cosθ). Therefore, we have:

N = mg cosθ

So, the contact force between the block and the plane is equal to the normal force, which is equal to the weight of the block (mg) multiplied by the cosine of the angle of inclination (θ). Therefore, the contact force between the block and the plane is mg cosθ.

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If the start time is at 3:25 pm and 6 hours and 35 minutes elapse, then the finishing time will be 10:00 p.m.

To find the finishing time, you can add the elapsed time to the starting time. The main data provided by the problem are as follows:

First, what we need to do is to add up the minutes:
25 minutes + 35 minutes = 60 minutes (or 1 hour)

Then, add the hours:
3 hours + 6 hours + 1 hour (from the minutes) = 10 hours

In conclusion, , the finishing time is 10:00 p.m.

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The set of all shows for the overall group would be well-defined because it would include all seven shows from the Friday night line-up, ordered from most watched to least watched among all viewers.

A set is well-defined if it is clear which elements belong to the set and which do not. In this case, each set (the set of sitcoms, the set of dramas, and the set of all shows) is well-defined because each show is clearly identified as either a sitcom or a drama and is ordered from most watched to least watched within its respective group (women, men, and overall).

Therefore, each set is well-defined.

For example, the set of sitcoms for the women's group would be well-defined because it would include the four sitcoms from the Friday night line-up, ordered from most watched to least watched among women. Similarly, the set of dramas for the men's group would be well-defined because it would include the three dramas from the Friday night line-up, ordered from most watched to least watched among men.

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Example and or statements in statistics are logic statements used in statistics to describe the probability of events occurring together (and) or separately (or)."

The "and" statement is used to describe the probability of two or more events occurring together (to calculate the joint probability of multiple events).

For example, the probability of rolling a 4 on a fair die and flipping a head on a fair coin is,

P(rolling a 4 AND flipping a head) = P(4) x P(head)

                                                        =(1/6) x (1/2) = 1/12    = P(A)

The "or" statement is used to describe the probability of one or more events occurring (to calculate the probability of at least one event).

For example, the probability of rolling a 4 on a fair die or flipping a head on a fair coin is,

P(rolling a 4 OR flipping a head) = P(4) + P(head) - P(A)

                                                     = (1/6) + (1/2) - (1/12)    = 7/12

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Answer:  the awnser is 43

Step-by-step explanation:

Answer:

Step-by-step explanation:

13/3 is the answer

Answer:

13/3

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

3 × 4 = 12

Step 2

Add the answer from Step 1 to the numerator

12 + 1 = 13

Step 3

Write answer from Step 2 over the denominator

13/3

please mark as brainliest if it helped

:)

The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.

This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.

This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of  two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.

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The required simplified value of the given expression [tex]\dfrac{2^{3x+1}-2^{3x}}{4*2^{3x - 1}}[/tex] is 1/2.

A rational expression is a mathematical expression that is the ratio of two polynomial expressions. That is, a rational expression is formed by dividing one polynomial expression by another polynomial expression.

Here,
Given expression,
[tex]=\dfrac{2^{3x+1}-2^{3x}}{4*2^{3x - 1}}[/tex]

Rewriting the equation by splitting the terms in numerator and denominator in order to take common terms out and make the expression more simple.

We can write [tex]2^{3x+1} = 2^{3x} * 2[/tex] and [tex]2^{3x-1} = 2^{3x} /2[/tex] so,

Given expression becomes, hence cancel the common terms.
[tex]=\dfrac{2^{3x}*2-2^{3x}}{4*2^{3x}/2}\\=1/2[/tex]

Thus, the required simplified value of the given expression [tex]\dfrac{2^{3x+1}-2^{3x}}{4*2^{3x - 1}}[/tex] is 1/2.

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Answer:

15/4 is a prime number so that's the answer to this question

Step-by-step explanation:

4/5 = 3/a

4•a = 5•3

4a = 15

4a/4 = 15/4

a = 15/4

The price of the TV, including tax, is $161.17 rounded to the nearest cent. To find the price of the TV including tax, we need to calculate the sale price of the TV after the 15% discount, add the sales tax, and then round to the nearest cent.

Here are the steps:

Calculate the sale price after the 15% discount:

Sale price = Original price - Discount amount

Sale price = $177.21 - (15% * $177.21)

Sale price = $150.63

Calculate the sales tax on the sale price:

Sales tax = 7% * $150.63

Sales tax = $10.54

Add the sales tax to the sale price:

Price including tax = Sale price + Sales tax

Price including tax = $150.63 + $10.54

Price including tax = $161.17

Therefore, the price of the TV, including tax, is $161.17 rounded to the nearest cent.

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The name of the equation for the regression line is the Regression Equation.

Regression Line:

Regression is a statistical technique used in finance, investing, and other fields that attempts to determine the strength and nature of the relationship between one dependent variable (usually denoted Y) and several other variables (called independent variables).

Simple linear regression:

Y = a + bX+ u

​Multiple linear regression:

Y = a + b₁ X₁ + b₂ X₂ + b₃ X₃ +..... + bₙ Xₙ +u

where:

Y = The dependent variable that can be predicted.

X =The independent variables that are used to predict

a = The y-intercept

b (beta coefficient) = is the slope of the independent variable(s)

u = The error term

​Regression equation:

Regression equations are used in statistics to determine if there is any relationship between data sets. For example, if you measure a child's height every year, you'll find that they grow about 3 inches each year. This trend (growth of 3 inches per year) can be modeled using a regression equation. In fact, most things in the real world (from oil prices to hurricanes) can be modeled with a few equations. You can predict future events.

There are several types of regression equations. Some of the more common ones include exponential and simple linear regression (to fit data to an exponential or linear equation). The regression equation most likely to be encountered in elementary statistics takes the form of a linear one.

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According to the model, -9 (7v + 9.7) = -63v - 87.3. The solution has been obtained by using area model.

What is an area model?

An area model is a rectangular graphic used in mathematics to multiply and divide two numbers or expressions. The length and breadth of the rectangle are determined by the factors, also known as the quotient and divisor.

We are given an expression as -9 (7v + 9.7).

Using area model,

-9 * 7v = -63v

Similarly,

-9 * 9.7 = -87.3

On combining both, we get

-9 (7v + 9.7) = -63v - 87.3

Hence, the value for the expression is -63v - 87.3.

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The results of the study suggest that verbal reinforcement does affect response rates.

The mean number of students raising their hands for Group 1 (14.3) is significantly higher than the mean number of students raising their hands for Group 2 (11). This indicates that verbal reinforcement does lead to higher response rates.

Response rate is a measure of the proportion of people who respond to a given stimulus. For example, in the study mentioned above, the response rate for each group was measured by the number of students who raised their hands when questions were asked. A higher response rate indicates that more people are responding to a given stimulus.

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