What are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064 and a compressive strain of -0.0086 assuming a gage factor gf = 2.10?

The charge q is ±7.46 × 10⁻⁷C.

Give:

Take a look at the charge on the left. The following forces are at work in response to this charge:

(Refer to the diagram below)

Because the charge is in equilibrium, the charge's vertical and horizontal forces must be zero.

We have the following in the vertical direction:

[tex]\begin{aligned}T \cos 20^{\circ} &=W \\\Rightarrow T &=\frac{m g}{\cos 20^{\circ}} \\&=\frac{3.0 \times 10^{-3} \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{s}^2}{\cos 20^{\circ}} \\&=3.13 \times 10^{-2} \mathrm{~N}\end{aligned}[/tex]

Coulomb's Law states that the electrostatic force between two point charges, q₁, and q₂, separated by r is given by the equation:

[tex]\begin{aligned}F &=\frac{q_1 q_2}{4 \pi \epsilon_0 r^2} \\&=\frac{K q_1 q_2}{r^2}\end{aligned}[/tex]

Here,

Using trigonometric personalities, the distance between any two charges is:

[tex]\begin{aligned}r &=2 l \sin 20^{\circ} \\&=2 \times 1.0 \mathrm{~m} \times 0.342 \\&=0.684 \mathrm{~m}\end{aligned}[/tex]

We have the following in the vertical direction:

[tex]\begin{aligned}F_e &=T \sin 20^{\circ} \\\Rightarrow \frac{K q_1 q_2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow \frac{K q^2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow q^2 &=\frac{r^2 T \sin 20^{\circ}}{K} \\&=\frac{(0.684 \mathrm{~m})^2 \times 3.13 \times 10^{-2} \mathrm{~N} \times \sin 20^{\circ}}{9 \times 10^9 \mathrm{~N} \cdot \mathrm{m}^2 / \mathrm{C}^2} \\&=55.65 \times 10^{-14} \mathrm{C}^2 \\\Rightarrow q &=\pm 7.46 \times 10^{-7} \mathrm{C}\end{aligned}[/tex]

Therefore, the charge q is ±7.46 × 10⁻⁷C.

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The correct question is given below:
Two 3.0g point charges on 1.0m - long threads repel each other after being equally charged, as shown in the figure. What is the charge q?

Answer:

Whats 'new'?

Step-by-step explanation:

Answer:

3-x^2-20

Step-by-step explanation:

That is how you convert it from word form to standard form.

Answer:

The student is correct. The perimeter of a figure is found by adding the length of it's sides. For the rectangle, the perimeter is 4x+8. For the square, the perimeter is 4x+8

Step-by-step explanation:

Perimeter for rectangle:

2(x+4) + 2x

2x + 8 + 2x

4x + 8

Perimeter for the square:

4(x+2)

4x + 8

Answer:

84.42

Step-by-step explanation:

21 times 4.02

= 84.42

Answer: $84.42

Step-by-step explanation:21x 4.02

Answer:

x>5_1 =4ans answer is these

Answer:

Step-by-step explanation:

There are 25 numbers between and including 1-25, so there are 25 possibilities. The possible outcomes are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Answer:

Thus, the value of x in the given triangle is 55°

Step-by-step explanation:

Given - Dimensions of triangle and angles

of triangle

Find - Value of x

Solution - The value of x in the given triangle is 55°.

As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.

Thus, the mathematical expression of all the angles of a given triangle will be -

x + x + 80 = 190

2x + 80 = 190

2x = 190 - 80

2x = 110

x = 110/2

x = 55°

.

Answer:

2. All real numbers

Step-by-step explanation:

Hope this helps!

Please mark as brainliest if correct!

Answer:

1/8

Step-by-step explanation:

(3/4)÷6

3/24

1/8

Answer:the answer is 4 kg

Step-by-step explanation:

i can¡ explane u i see the rpta

The measure of ∠B = 189°

Here it is given that

∠A = (5x + 24)° and ∠B = (6x - 5)°

∠A and ∠B are vertical angles

Since vertical angles are always equal so

      ∠A = ∠B

5x + 24 = 6x - 5

add +5 on both sides, we get

5x + 24 + 5 = 6x - 5 + 5

     5x + 29 = 6x

add -5x on both side, we get

   5x - 5x + 29 = 6x - 5x

   x = 29

Now put the value of x in 6x - 5

6 × 29 - 5 = 189

The measure of ∠B = 189°

According to the vertical angle theorem, the vertical angles that are created when two lines intersect are congruent. There are equal amounts of vertical angles. For instance, if a, b, c, and d are the four angles created by two intersecting lines and a, b, and c are vertically opposed to d and c, respectively, then a, b, and c are congruent to d.

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Answer:

3a + (5b + 7c)

Step-by-step explanation:

The answer cannot be 3a(5b +7c) because when the number is immediately before the brackets, it signifies multiplication. therefore the 3a(5b+7c) would be equivalent to 15ab+21ac

the answer cant be 7c(5b+3a) because of the same explanation as the one above, therefore 7c(5b+3a) would be equivalent to 35cb+21ca

the answer finally cant be 8ab+7c because it means that one added 3a and 5b giving you 8 but it cannot be ab because ab is equivalent to a×b, hence, one cant put a multiplied algebraic expression with an added number

The equation equivalent to the the expression (3a + 5b) + 7c is 3a + (5b+7c). Hence, the first option is the correct one.

In mathematics, expressions are assertions that must contain at least two words with variables or terms with numbers in them, or both, and connect them with an operator. It is possible for the mathematical operators to be addition, subtraction, multiplication, or division.

For instance, the equation x + y has the terms x and y with an addition operator in between. Numerical expressions, which just contain numbers, and algebraic expressions, which also include variables, are the two types of expressions used in mathematics.

The first option is correct because it does not affect the main equation rest are not the same as the equation.

For example, let's take the second equation :

3a (5b + 7C)

After solving this option we get 15ab + 21 ac so it is incorrect because it changed the main expression.

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Answer:19.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 45.5

Step 1: 13 cups x 3.5 can = 45.5 cups

The independent quantity is the height of the baton and the dependent quantity is the seconds she has to twirl.

The independent variable is the variable that the person carrying out an activity can change or manipulate. It is the independent quantity that determines the dependent quantity.

The dependent variable is the variable that is being measured in an experiment. The dependent quantity is usually affected by the independent quantity.

In this question, the height of the baton determines the time she has to twirl. The higher the baton goes, the longer the time she has to twirl. This makes the height of the baton the independent quantity and the time she has to twirl the dependent quantity.

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Answer:

predict the impact of removing snakes from this food web

Answers are in bold

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

Explanation:

The x is a placeholder for a number.

When we say f(5), we mean f(x) when x = 5

So we'll replace every copy of x with 5 like so...

[tex]f(\text{x}) = -3\text{x}^2 - 2\\\\f(5) = -3(5)^2 - 2\\\\f(5) = -3(25) - 2\\\\f(5) = -75 - 2\\\\f(5) = -77\\\\[/tex]

Notice how I used the order of operations PEMDAS after x = 5 was plugged in.

A similar situation happens with g(-4). We'll plug x = -4 into g(x) to get the following:

[tex]g(\text{x}) = 2\text{x} +4\\\\g(-4) = 2(-4) +4\\\\g(-4) = -8 +4\\\\g(-4) = -4\\\\[/tex]

You can use a graphing calculator or graphing software (eg: Desmos or GeoGebra) to confirm these answers quickly.

Answer:

An infinite sequence is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer s {1, 2, 3, ...}. Examples of infinite sequences are N = (0, 1, 2, 3, ...) and S = (1, 1/2, 1/4, 1/8, ..., 1/2 n , ...)

Answer:

Corrected - didn't see the 10 to the negative 2 in the denominator at first - sorry)

8000

Step-by-step explanation:

Simplify

5.12 x 10 ^6/ 1.6 X 10 ^5 X (.4 X 10^-2)

Do the math

3.2 x 10/.04 x 1- ^-2)

Simplify

8 X 10^3

Simplify

8000

Answer: 4500

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Cos^-1   = 1/ cos = sec x

Answer: True

Step-by-step explanation:

     When the cos(ine) function is raised to the negative first power, we find the reciprocal. This will be the case for most functions and numbers.

Answer:

[tex]\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}[/tex]

[tex]\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)[/tex]

C)  See attachment.

Step-by-step explanation:

Given function:

[tex]f(x)=2x^2-x-10[/tex]

To factor a quadratic in the form  [tex]ax^2+bx+c[/tex] , find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex] :

[tex]\implies ac=2 \cdot -10=-20[/tex]

[tex]\implies b=-1[/tex]

Therefore, the two numbers are -5 and 4.

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies f(x)=2x^2-5x+4x-10[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies f(x)=x(2x-5)+2(2x-5)[/tex]

Factor out the common term  (2x - 5):

[tex]\implies f(x)=(x+2)(2x-5)[/tex]

The x-intercepts are when the curve crosses the x-axis, so when y = 0:

[tex]\implies (x+2)(2x-5)=0[/tex]

Therefore:

[tex]\implies (x+2)=0 \implies x=-2[/tex]

[tex]\implies (2x-5)=0 \implies x=\dfrac{5}{2}[/tex]

So the x-intercepts are:

[tex]x=-2, \:\:x=\dfrac{5}{2}[/tex]

The x-value of the vertex is:

[tex]\implies x=\dfrac{-b}{2a}[/tex]

Therefore, the x-value of the vertex of the given function is:

[tex]\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}[/tex]

To find the y-value of the vertex, substitute the found value of x into the function:

[tex]\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}[/tex]

Therefore, the vertex of the function is:

[tex]\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)[/tex]

Plot the x-intercepts found in Part A.

Plot the vertex found in Part B.

As the leading coefficient of the function is positive, the parabola will open upwards.  This is confirmed as the vertex is a minimum point.

The axis of symmetry is the x-value of the vertex.  Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is symmetrical.

Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).

Answer:

The function h(x) =x^2-x-2/ x^2-x-6=

E.-2 and 3

The statement 'Revenue management methodology was originally developed for the banking industry.' is False.

The revenue Management is an analytics technique.

This technique is used to predict consumer behavior at the micro-level, which is ultimately useful in optimizing the product availability and pricing and maximize revenue growth.

This methodology is used by companies in certain industries, particularly those with fixed costs and capacity and products or services that expire.

It is the operational procedures and practices that maximize revenues without creating additional products or services.

Therefore, The statement 'Revenue management methodology was originally developed for the banking industry.' is False.

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The weights that are significantly low z₁ = 5.361308 grams and significantly high z₂ = 5.48057 grams  

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

z -score = (z₁ - μ₀) / σ

where μ₀  is the mean and σ the standard deviation.

Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.

Here μ₀ = 5,37215 and σ = 0.05421

Substitute z -score = -2

⇒ -2  = (z₁ - 5,37215)/0.05421

⇒ (-2)(0.05421) = z₁ - 5.37215

⇒ -0.10842 = z₁ - 5.37215

⇒ z₁ = 5.37215 - 0.010842

⇒ z₁ = 5.361308

And if z = 2

Here μ₀ = 5,37215 and σ = 0.05421

Substitute z -score = 2

⇒ 2(0.05421) = z₂ -  5.37215

⇒ 0.10842 = z₂ - 5.37215

⇒z₂ = 5.37215 + 0.10842

⇒ z₂ = 5.48057  

Therefore, the weights that are significantly low z₁ = 5.361308 grams and significantly high z₂ = 5.48057 grams

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Your question is incomplete, probably the complete question is:

A data set lists the weights​ (grams) of a type of coin. Those weights have a mean of 5.37215 g and a standard deviation of .05421 g. Identify the weights that are significantly low or significantly high.

Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.

Answer:

$303 0cents

Step-by-step explanation:

237 + 128 -62 = 303

The amount Julie has to spend after buying the chair is $303.

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.

As per the given data:

We are given the details of the transactions that Julie did.

We have to find out the remaining amount of money that is left with Julie after the transactions.

Initial amount that Julie had to spend (A) = $237

Amount received as a refund after returning that calculator (B) = $128

Price that had to be paid to buy a chair (C) = $62

For finding out money in dollars and cents did Julie have to spend after buying the chair:

= A + B - C

= 237 + 128 - 62

= 365 - 62

= 303

The amount Julie has to spend after buying the chair is $303.

Hence, The amount Julie has to spend after buying the chair is $303.

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