a wire rope sling with a strength of 10,000 pounds and a total working load of 2,000 pounds has a design factor (multiplier) of .

Answer:

-0.2667

Step-by-step explanation:

m =y2 - y1

x2 - x1

=14 - (10)

-7 - (8)

=14 - 10

-7 - 8

=4

-15

Answer:

Question 1:

[tex]{ \tt{f(x) = {x}^{2} - 10x + 25}}[/tex]

when f(x) is f(10), we substitute for x as 10; x = 10

[tex]{ \tt{f(10) = {10}^{2} - 10(10) + 25 }} \\ { \tt{f(10) = 100 - 100 + 25}} \\ { \boxed{ \tt{ \: f(10) = 25 \: }}}[/tex]

Question 2:

[tex]{ \tt{f(x) = \frac{2 {x}^{3} - 7 }{10} }} \\ [/tex]

when f(x) is f(-1), we substitute for x as -1; x = -1

[tex]{ \tt{f( - 1) = \frac{2 {( - 1)}^{3} - 7 }{10} }} \\ \\ { \tt{f( - 1) = \frac{ - 2 - 7}{10} }} \\ \\ { \boxed{ \tt{ \: f( - 1) = - \frac{9}{10} \: }}}[/tex]

Answer: 5.218*10^8 ==> Option 4

Step-by-step explanation:

(5.3 x 10^8) − (8.2 x 10^6)=

(5.3*10^2 x 10^6) − (8.2 x 10^6)=

(5.3*100*10^6)-(8.2*10^6)=

(530*10^6)-(8.2*10^6)=

(530-8.2)*10^6=

(530.0-8.2)*10^6=

521.8*10^6=5.218*10^8 ==> Option 4

Answer:

190

Step-by-step explanation:

(120*2) - 10 = 190

hope this helped !!

Answer: 12w-9

Step-by-step explanation:

Answer:   [tex]q=\frac{112}{501}[/tex]

Step-by-step explanation:

1) Add similar elements: 11q < 512q - 112

2) Subtract 512q from both sides: 11q - 512q < 512q - 112 - 512q

3) Simplify: -501q < -112

4) Multiply both sides by -1 to reverse the inequality: (-501q)(-1) > (-112)(-1)

5) Simplify: 501q > 112

6) Divide both sides by 501: [tex]\frac{501q}{501} > \frac{112}{501}[/tex]

7) Simplify: [tex]q=\frac{112}{501}[/tex]

The best description of the domain of the function is t >= 0

The equation of the function is given as

C(t) = 0.05t + 20

The above equation is a linear function, and the variable t represent the number of text messages in a month

The number of text messages in a month cannot be negative

This means that

t >= 0

Hence, the best description of the domain of the function is t >= 0

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The electric potential energy is 5.0 × 10^(-9) J

The formula to calculate the electric potential energy in a capacitor is;

E = 1/2 * C * V²

Where;

E = electric potential energy

C = capacitance = charge

V = voltage applied

We are given;

Voltage applied; V = 100 V

Capacitance (Charge) = 1 × 10⁻¹⁰ C

Plugging in the relevant values gives

E = 1/2  * 1 × 10⁻¹⁰ *  100

E = 1/2 * 1 × 10⁻⁸

E = 0.5  × 0⁻⁸ volts

E = 5.0 × 10^(-9) J

Thus, we conclude that the electric potential energy is 5.0 × 10^(-9) J

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Answer:

7y + 13x

Step-by-step explanation:

Let's simplify step-by-step.

7y+5x+8x

Combine Like Terms:

=7y+5x+8x

=(5x+8x)+(7y)

=13x+7y

The expression 7y + 13x is equivalent to given expression (7y + 5x) + 8x which is correct answer would be option (B).

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.

⇒ (7y + 5x) + 8x

Open parenthesis and combine like terms to get the solution,

⇒ 7y + 5x + 8x

⇒ (5x + 8x) + (7y)

⇒ 13x + 7y or

⇒ 7y + 13x

Therefore, the expression 7y + 13x is equivalent to given expression (7y + 5x) + 8x.

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Answer:

C) 3/8 < 1/2   good luck

Step-by-step explanation:

brainliest please

Answer:

48

because. Of the time

Answer:

7 months to pay it off.

Step-by-step explanation:

see attached for details.

The result for the stack of cups are shown below;

The term unitary refers to a single or unique unit. As a result, the goal of this method is to determine values are related to a single unit.

Now, as per the given question.

Part 1: The height of one cup;

The stack of 9 cups form the height 194 mm.

Similarly, the height of the 22 of the same cups measures 272 mm.

For the calculation of height of one cup;

Difference in the total height  = 272 - 194 = 78.

Difference in the number of cups = 22 - 9 = 13.

Thus, the height of one cup = 78/13 = 6

The height of the one cup is found to be 6 mm.

Part 2: The height of n stack of cups;

The height of one cup is estimated as 6 mm.

There are total n number of cups.

Thus, the height of the n cups will be 6×n mm.

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researchers are interested in finding out if winning congressional candidates display more positive facial expressions than losing candidates. c. naturalistic observation

A study technique called naturalistic observation includes watching participants in their natural settings. Many psychologists and other social scientists employ this strategy. It is an approach to qualitative research that emphasizes gathering, analyzing, and describing non-numerical data.

When performing lab research would be impractical, expensive, or would adversely influence the subject's behavior, it may be helpful. Naturalistic observation is to capture behavior as it happens in its natural environment without intervention or efforts to change any of the factors. In a lab context, people frequently act differently than they would in the wild. Sometimes, researchers wish to watch their subject's behavior "in the wild".

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Answer : Undefined terms are those terms that don’t require a formal definition. The four terms are point line plane and set

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

$ 42 / 5.25 $ / box = x  = 8 boxes

Answer:   Let the length and breadth of a rectangle are x and y units , its area is x.y units^2

Step-by-step explanation: sorry no explanation

The system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30

The given parameters are

Length = Not more than 12 inches

Perimeter = Less than 30 inches

"Not more than" means less than or equal to

So, we have

l ≤ 12

The perimeter of a rectangle is

P = 2l + 2w

So, we have

2l + 2w = Less than 30 inches

"Less than" is represented with <

So, we have

2l + 2w < 30

Hence, the system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30

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Answer:

a. I ≤ 12
    2l + 2w < 30

Step-by-step explanation:

i got it right on edge.

Answer:

See proof below

Step-by-step explanation:

If B is the midpoint of AC, then AB = BC

If C is the midpoint of BD then BC = CD

Using the transitive property of equality, if a = b and  b = c  then a =c

We apply this to the above line segments and get

If AB = BC and BC = CD then AB=CD
For two line segments to be congruent they must have the same length

So AB is congruent to CD

The value of m∠1 is 158° as the two line x and y are parallel.

Two lines are said to be parallel if they do not meet at any point and the perpendicular distance between them is always the same.

In the given figure it is given that x║y and m∠2 = 22°.

Now let us use the above principles to solve the value of the other angles.

m∠2+m∠1 = 180°(linear pair)

or, m∠1= 180°-22°

or, m∠1=158°

m∠2+m∠3 = 180°(co-interior angles are supplementary)

or,m∠3=158°

m∠2=m∠4(Corresponding angles are equal)

or, m∠4=22°

m∠2=m∠5 (vertically opposite angles are equal)

or, m∠5=22°

m∠6=m∠1 (vertically opposite angles are equal)

or, m∠6=158°

m∠2=m∠7(alternate angles are equal)

or, m∠7=22°

m∠3=m∠8 (vertically opposite angles are equal)

or, m∠8=158°

Hence all the above angles are calculated using the properties of parallel lines.

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Answer:

x = [tex]\sqrt{a}[/tex] + [tex]\frac{b^2}{2c}[/tex]

Step-by-step explanation:

[tex]\sqrt{a}[/tex] = x - [tex]\frac{b^2}{2c}[/tex] ( add [tex]\frac{b^2}{2c}[/tex] to both sides )

[tex]\sqrt{a}[/tex] + [tex]\frac{b^2}{2c}[/tex] = x

The surface area of a cylinder with a height of 8 inches and base diameter of 6 inches is 207.24 square inches

The given parameters are

Height, h = 8 inches

Diameter, d = 6 inches

The radius is calculated as

r = d/2

So, we have

r = 6/2

r = 3

The surface area of a cylinder is calculated as

S = 2πr(r + h)

So, we have

S = 2 * 3.14 * 3 * (3 + 8)

Evaluate

S = 207.24

Hence, the surface area of a cylinder with a height of 8 inches and base diameter of 6 inches is 207.24 square inches

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If x is near but not equal​ to, the value an is that f(a) then the function will not continue.

Limit, a nearness in mathematical notion, is largely used to give values to some functions at locations that were usually not given or defined, in a manner consistent with neighboring values.

In another word, limit is a mathematical concept in which we find out the value of any function at a point by its adjacent very close point.

If a function f(x) is defined near to x = a but not a then there will be no continuity of that function at that point.

To exist a limit at x = a

LHL = RHL

But for continuity

LHL = RHL = f(a)

Hence "If x is near but not equal​ to, the value an is that f(a) then the function will not continue".

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The number of ice creams according to the probability,  Neither contain nuts nor are fat free is 6.

According to the statement

We have to find that the ice creams that neither are fat-free nor contain nuts.

So, For this purpose, we know that the

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

From the given information:

There are 35 flavors of ice cream at an ice cream parlor, 25 flavors contained ice creams.

Contain nuts = 25

Are fat free = 12

Are both = 8

Then

Contain nuts or are fat free = 25+12-8 = 29

Total = 35

Neither contain nuts nor are fat free = 35-29 = 6.

So, The number of ice creams according to the probability,  Neither contain nuts nor are fat free is 6.

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The value of z-score for James is 0.2

Step-by-step explanation:

From the formula of z-score we know that

z-score = individual score - mean / standard deviation

Given

James score = 40

Mean = 38

Standard deviation = 10 (missing in question)

To find

z-score =?

Let's put the values in the formula

z-score = 40-38/ 10

z-score = 0.2

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The value of x for f(x) = 2 (3-x) -2x at f(x) = -10 is 4.

To find the value of f(x) when f(x) equals -10, we substitute -10 into the equation and solve for x.

Given:

f(x) = 2(3 - x) - 2x, we have:

-10 = 2(3 - x) - 2x

Let's simplify the equation step by step:

-10 = 6 - 2x - 2x

-10 = 6 - 4x

-10 - 6 = -4x

-16 = -4x

To solve for x, divide both sides by -4:

x = (-16) / (-4)

x = 4

Therefore, when f(x) = -10, the value of x is 4.

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Answer:

$18.95

Step-by-step explanation:

Answer:

0.20 hours

Step-by-step explanation:

Bike rental is $46 for 9 hours.

We want to find hours per dollar, so divide time by cost:

9 hours / 46 dollars = 0.19565217... hours/dollar

Rounded to nearest hundredth:

0.20 hours