A wire 4.75\times 10^(3)cm long is seen to stretch, when loaded, by 9.55\times 10^(-2)cm. Find the strain in the wire, using the equation e\psi =(e)/(L), where L is the original length and e is the extension or increase in length. (Strain is a unitless quality or pure number )

The value of "n" is 6.

"n" is related to a circle with intersecting chords labeled 5, n+4, 7, and n+8 [1]. To find the value of "n", we can use the property that states that if two chords intersect inside a circle, the products of their segments are equal. Using this property, we can set up the following equation:

7(n+4) = 5(n+8)

Expanding the brackets, we get:

7n + 28 = 5n + 40

Simplifying, we get:

2n = 12

n=6

A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a fixed distance (called the radius) from a given point (called the center). It is a closed shape, meaning that it has no beginning or end, and its boundary is a continuous curve.

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Answer:

80 + 336 = 416

Step-by-step explanation:

Break down the composite figure.

Answer:

Option B is the correct option.

Step-by-step explanation:

\( \mathrm{ - \frac{4}{5} \div 2}\)

\( \mathrm{dividing \: a \: negative \: and \: a \: positive \: equals \: a \: negative \:. \: ( - ) \div ( + ) = ( - )}\)

\( \mathrm{ - \frac{4}{5} \div 2}\)

\( \mathrm{dividing \: is \: equivalent \: to \: multiplying \: with \: the \: reciprocal}\)

\( \mathrm{ - \frac{4}{5} \times \frac{1}{2} }\)

\( \mathrm{reduce \: the \: numbers \: with \: G.C.F \: 2}\)

\( \mathrm{ - \frac{2}{5} }\)

Hope I helped!

Best regards!

The quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

We have been given that  -4 /5 divide 2

Thus, we have to divide the terms as;

-4 /5   ÷ 2

Therefore,  -4 /5 x 1/ 2

-2/5

Hence, the quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

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Therefore, The exponential function approaches zero as the input approaches negative infinity, and as x increases towards infinity, the value of e−3x approaches zero.

(a) The right end behavior of y = log6(x) as x approaches infinity is that y approaches negative infinity. This is because as x increases towards infinity, the value of log6(x) becomes larger and larger negative values. Explanation: The logarithm function approaches negative infinity as the input approaches zero, and as x increases towards infinity, the value of log6(x) approaches negative infinity.
(b) The right end behavior of y = e−3x as x approaches infinity is that y approaches 0. This is because as x increases towards infinity, the exponent -3x becomes larger and larger negative values, making the value of e−3x approach zero.  

Therefore, The exponential function approaches zero as the input approaches negative infinity, and as x increases towards infinity, the value of e−3x approaches zero.

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Hello!

Plug in the value of x:

f(x)=5(x-3)+17

f of x is 5 times the difference of x and 3 plus 17

plug in 2:

f of 2 is 5 times the difference of 2 and 3 plus 17

f(2)=5(2-3)+17

f(2)=5(-1)+17

f(2)=-5+17

f(2)=12

\(\huge\boxed{\mathfrak{Answer:{\boxed{\rm{f(2)=12\star\star}}}}}\)

Hope everything's clear.

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\(\boxed{An~Emotional~Helper!} :-)\)

The correct answer is C. $11,250.

To calculate the interest on a 90-day, 9% note for $50,000, we can use the simple interest formula:

Interest = Principal × Rate × Time

Given:

Principal (P) = $50,000

Rate (R) = 9% = 0.09 (decimal)

Time (T) = 90 days

Since the interest is calculated based on a 360-day year, we need to convert the time in days to a fraction of a year:

Time (T) = 90 days / 360 days = 0.25 (fraction of a year)

Now we can calculate the interest:

Interest = $50,000 × 0.09 × 0.25

Interest = $11,250

Rounded to the nearest dollar, the interest on the 90-day, 9% note for $50,000 is $11,250.

Therefore, the correct answer is C. $11,250.

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Answer:

136

Step-by-step explanation:

The triangles are similar so we can use ratios

3          x

----- =-------

51         144-x

Using cross products

3(144-x) = 51x

Distribute

432 - 3x = 51x

Add 3x to each side

432 = 54x

Divide each side by 54

432/54 = 54x/54

8 = x

We want the length of AC

AC = 144-x

     = 144-8

     =136

Answer:

D. 136

Step-by-step explanation:

Since these two triangles are similar by AA:

\(\dfrac{51}{3}=\dfrac{144-x}{x} \\\\17=\dfrac{144-x}{x} \\\\17x=144-x \\\\18x=144 \\\\x=8 \\\\AC=144-x=144-8=136\)

Hope this helps!

Answer:

0.18 m for A P E X

A function assigns the value of each element of one set to the other specific element of another set. The given set of numbers {(0, 0.4), (1, 0.8), (2, 1.2), (3, 1.6)} is a function.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Slope between (0, 0.4) and (1, 0.8),

Slope = (0.8-0.4)/(1-0) = 0.4

Slope between (1, 0.8) and (2, 1.2),

Slope = (1.2 - 0.8)/(2-1) = 0.4

Slope between (2, 1.2) and (3, 1.6),

Slope = (1.6 - 1.2)/(3-2) = 0.4

Thus, The given set of numbers {(0, 0.4), (1, 0.8), (2, 1.2), (3, 1.6)} is a function, this is because, for each different value of x, the y has a different variable. Also, the slope between any two points is the same.

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Answer:

3

Step-by-step explanation:

3-9=-6 but absolute is 6

A term in math can be a single number (positive or negative), a single variable (letter) or several variables multiplied but never added or subtracted.

Then, in this case the expression has 3 terms.

Answer: 1) Error response times

2) Memory Scanning, visual search

3) Stimulus identification

Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response

2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring

3) A decisive role in our perception and cognition

In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.

Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

Answer: The distance across a rectangular field is longer distance.

So, Perimeter of rectangle would be 120 yards.

Diagonal of square would be 56.56 yards.

The equation that describes the hanger is y = x + 1.b-This line will represent the equation y = x + 1.c. The equation for the first hanger is y = x + 1.

Equation is a mathematical statement that expresses the equality of two expressions by using symbols. It typically consists of an equals sign (=) and two expressions that are related by the equals sign. Equations are used to describe the relationship between different variables, such as the area of a circle or the speed of a moving object. Equations are also used to solve problems, to make predictions, or to reveal patterns or trends.

a. The equation that describes the hanger is y = x + 1. This equation states that the y-coordinate (height of the hanger) is always 1 unit greater than the x-coordinate (width of the hanger).

b. To find x, I will draw more hangers to represent each step of the process. For the first hanger, I will draw a line with a y-intercept of 1 and a slope of 1. This line will represent the equation y = x + 1.

For the second hanger, I will draw a line with a y-intercept of 1 and a slope of 2. This line will represent the equation y = 2x + 1.

For the third hanger, I will draw a line with a y-intercept of 1 and a slope of 3. This line will represent the equation y = 3x + 1.

The reason I chose to draw each hanger with a y-intercept of 1 is to represent the constant value of 1 in each equation. The slope of each hanger is increased by 1 from the previous hanger to represent the coefficient of x in each equation.

c. The equation for the first hanger is y = x + 1. This equation matches the hanger because the y-intercept is 1 and the slope is 1.

The equation for the second hanger is y = 2x + 1. This equation matches the hanger because the y-intercept is 1 and the slope is 2.

The equation for the third hanger is y = 3x + 1. This equation matches the hanger because the y-intercept is 1 and the slope is 3.

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Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

The equation of exponential regression that fits the data is given as follows:

y = 1.5(2.5)^x.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.

The points are given as follows:

(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).

Inserting these points into a calculator, the equation is given as follows:

y = 1.5(2.5)^x.

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The best fit quadratic polynomial for the given data is f(x) = -1/2 x^2 + 5/2 x - 3.

Best fit quadratic polynomial for the given data:

We can use the method of least squares to find the best fit quadratic polynomial for the given data. This involves finding the quadratic function of the form f(x) = ax^2 + bx + c that minimizes the sum of the squared errors between the function and the given data points.

To find the coefficients a, b, and c, we need to solve the following linear system of equations:

Σxi^4 a + Σxi^3 b + Σxi^2 c = Σxi^2 yi

Σxi^3 a + Σxi^2 b + Σxi c = Σxi yi

Σxi^2 a + Σxi b + Σi = Σyi

where xi and yi are the coordinates of the given data points.

Substituting the values of the given data points into the above system, we get:

10a - 4b + 3c = -17

-4a + 2b - c = -5

-2a - b + 5c = -8

Solving the above system, we get:

a = -1/2, b = 5/2, c = -3

Therefore, the best fit quadratic polynomial for the given data is f(x) = -1/2 x^2 + 5/2 x - 3.

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Answer:

(-1,-5)

Step-by-step explanation:

Graph both lines and find the intersection.

Answer: B

The letters have the same positions in the figure names.

In congruent figures ABCD and WXYZ, corresponding angles are angles that have the same position relative to their respective vertices.

In congruent figures ABCD and WXYZ, corresponding angles are angles that have the same position relative to their respective vertices.

For example, angle A and angle W are corresponding angles, as they are both opposite the vertex where angle D and angle X are vertices.

Similarly, angle B and angle X, angle C and angle Y, and angle D and angle W are all corresponding angles in the congruent figures ABCD and WXYZ.

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When rounded to the nearest liter, 103.468 liters would be rounded to 103 liters.

When rounding a number to the nearest liter, we consider the decimal part of the number. In this case, the number is 103.468 liters. The decimal part is 0.468.

To determine whether to round up or down, we compare the decimal part to 0.5. If the decimal part is 0.5 or greater, we round up. If it is less than 0.5, we round down.

In this case, the decimal part 0.468 is less than 0.5. Therefore, we round down to the nearest whole number, which is 103. Thus, 103.468 liters rounded to the nearest liter is 103 liters.

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Answer:

2.1

Step-by-step explanation:

Simplifying

3.4 + -2.8d + 2.8d + -1.3 = 0

Reorder the terms:

3.4 + -1.3 + -2.8d + 2.8d = 0

Combine like terms: 3.4 + -1.3 = 2.1

2.1 + -2.8d + 2.8d = 0

Combine like terms: -2.8d + 2.8d = 0.0

2.1 + 0.0 = 0

2.1 = 0

Solving

2.1 = 0

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

If a student is selected at random from this senior class,  the probability that the student is:  

(i) a male and has a driver's license is 0.3825,

(ii) a female and has a driver's license is 0.385.

We need to find the probability that a student is (i) a male and has a driver's license, and (ii) a female and has a driver's license, given that there are 400 seniors, 180 of which are males.

(i) A male and has a driver's license:
Step 1: Find the number of males with driver's licenses: 180 males * 85% = 153 males.
Step 2: Calculate the probability: (Number of males with driver's licenses) / (Total number of seniors) = 153/400.
Step 3: Simplify the probability: 153/400 = 0.3825.

(ii) A female and has a driver's license:
Step 1: Calculate the number of females: 400 seniors - 180 males = 220 females.
Step 2: Find the number of females with driver's licenses: 220 females * 70% = 154 females.
Step 3: Calculate the probability: (Number of females with driver's licenses) / (Total number of seniors) = 154/400.
Step 4: Simplify the probability: 154/400 = 0.385.

So, the probability that a student selected at random from this senior class is: (i) a male and has a driver's license is 0.3825, and (ii) a female and has a driver's license is 0.385.

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If a student is selected at random from this senior class,  the probability that the student is:  

(i) a male and has a driver's license is 0.3825,

(ii) a female and has a driver's license is 0.385.

We need to find the probability that a student is (i) a male and has a driver's license, and (ii) a female and has a driver's license, given that there are 400 seniors, 180 of which are males.

(i) A male and has a driver's license:
Step 1: Find the number of males with driver's licenses: 180 males * 85% = 153 males.
Step 2: Calculate the probability: (Number of males with driver's licenses) / (Total number of seniors) = 153/400.
Step 3: Simplify the probability: 153/400 = 0.3825.

(ii) A female and has a driver's license:
Step 1: Calculate the number of females: 400 seniors - 180 males = 220 females.
Step 2: Find the number of females with driver's licenses: 220 females * 70% = 154 females.
Step 3: Calculate the probability: (Number of females with driver's licenses) / (Total number of seniors) = 154/400.
Step 4: Simplify the probability: 154/400 = 0.385.

So, the probability that a student selected at random from this senior class is: (i) a male and has a driver's license is 0.3825, and (ii) a female and has a driver's license is 0.385.

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The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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Answer:

3 x + 24

Step-by-step explanation:

Answer:

X=52

Step-by-step explanation:

3X+24=180

3X=180-24

3X=156

X=156/3

X=52

False.

In ANOVA, treatments refer to different levels of a factor. The factor is an independent variable that is manipulated in an experiment, and treatments are the different conditions or values of the factor that are applied to the experimental units (also known as subjects, participants, or observations). The dependent variable is the outcome or response that is measured or observed in each experimental unit, and it is used to compare the effects of the different treatments.

So, treatments do not refer to the group of answer choices, the dependent variable, or statistical applications, but rather they refer to the different levels of the independent variable (factor) being tested in the experiment.

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Let's represent the area of the lawn with "x" (in square meters).

Maria charged $135 plus $9.55 per square meter, so her total earnings can be expressed as:

Total earnings = $135 + $9.55 x

We know that Maria was paid $1854, so we can set up an equation and solve for x:

$1854 = $135 + $9.55 x

Subtracting $135 from both sides:

$1719 = $9.55 x

Dividing both sides by $9.55:

x = 180

Therefore, the area of the lawn is 180 square meters.

a. In a random sample of 1,000 births, the expected number of births that take place by Caesarian section is:

E(X) = n*p = 1,000 * 0.32 = 320 births

Therefore, on average, 320 births out of 1,000 will take place by Caesarian section.

b. The variance of the number of Caesarian section births in a sample of 1,000 births is:

Var(X) = np(1-p) = 1,000 * 0.32 * (1-0.32) = 217.60

The standard deviation is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(217.60) = 14.76

Therefore, the standard deviation of the number of Caesarian section births in a sample of 1,000 births is 14.76.

c. To form an interval that is likely to contain the number of Caesarian section births in a sample of 1,000 births, we can use the normal distribution and the central limit theorem. Since n*p = 320 is greater than 10, we can assume that the distribution of the number of Caesarian section births in a sample of 1,000 births is approximately normal.

The 95% confidence interval for the number of Caesarian section births is:

320 ± 1.96*(14.76) = (291.16, 348.84)

Therefore, we can be 95% confident that the number of Caesarian section births in a sample of 1,000 births will be between 291 and 349.

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