Find the value of cos E rounded to the nearest hundredth, if necessary. please help thanks

Premise 1: Hard water can damage home appliances. Premise 2: A water softening system can prevent hard water. Conclusion: Therefore, a water softening system can prevent damage to home appliances.

The argument consists of two premises and a conclusion. Premise 1 states that hard water can cause damage to home appliances. Premise 2 states that a water softening system can prevent hard water. The conclusion drawn from these premises is that a water-softening system can prevent damage to home appliances.

In standard form, the argument is presented by listing the premises first, followed by the conclusion. This format helps to clearly identify the statements being made and their logical relationship. By representing the argument in this way, it becomes easier to analyze the structure and validity of the reasoning presented.

Therefore, the standard form representation of the argument is:

Premise 1: Hard water can damage home appliances.

Premise 2: A water softening system can prevent hard water.

Conclusion: Therefore, a water softening system can prevent damage to home appliances.

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Answer:

5.78

Step-by-step explanation:

Multiply 13 to both sides to get q by itself

4/9*13=q

this gives you

5.77777778=q

but we need to round it to the nearest hundredth

so

5.78

It is given that PG grading requirement is met if the values of S(t) are between -3.2 and +3.2. As all the calculated values of S(t) lie within this range, the asphalt meets PG grading requirement.

Given data: Bending rheometer: 0.4mm, 0.5mm, 0.65mm, 0.82mm, 0.98mm, and 1.3mm for t = 15s, 30s, 45s, 60s, 75s, and 90s.

We are supposed to calculate the values of S(t) and m to check if the asphalt meets PG grading requirement.

Calculation of m:

Mean wheel track rut depth = (0.4+0.5+0.65+0.82+0.98+1.3)/6

= 0.7933mm

Calculation of S(t)

S(t) = (x - m)/0.3

Where, x = 0.4mm, 0.5mm, 0.65mm, 0.82mm, 0.98mm, and 1.3mm

Given, m = 0.7933mm

Substituting these values into the formula above:

S(15s) = (0.4 - 0.7933)/0.3

= -1.311S(30s)

= (0.5 - 0.7933)/0.3

= -0.9777S(45s)

= (0.65 - 0.7933)/0.3

= -0.4777S(60s)

= (0.82 - 0.7933)/0.3

= 0.128S(75s)

= (0.98 - 0.7933)/0.3

= 0.62S(90s)

= (1.3 - 0.7933)/0.3

= 1.521

It is given that PG grading requirement is met if the values of S(t) are between -3.2 and +3.2. As all the calculated values of S(t) lie within this range, the asphalt meets PG grading requirement.

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Answer:

They got 3.00 back

Step-by-step explanation:

Since they both bought a book it means you have to double the price of one book.

3.50+3.50=7.00

Then since you are looking for the difference of 10.00 you would subtract it.

10.00-7.00=3.00

The area of regular pentagon is 758.7 square in.(rounded to the nearest tenth.)

A pentagon is a specific type of polygon with 5 sides and 5 angles. The word “pentagon” is constructed of two words, namely Penta and Gonia, which defines five angles. So in a simplified way it can be said that pentagon is a polygon having 5 sides.

Here is a regular pentagon with side length 21 in.

Area of regular pentagon (A)= \(\frac{1}{4} \sqrt{5(5+2\sqrt{5} )} a^{2}\)

Here a= 21 in

So Area = \(\frac{1}{4} \sqrt{5(5+2\sqrt{5} )} (21)^{2}\) square in.

             = \(\frac{1}{4} \sqrt{5(5+2\sqrt{5} )} 441\)     "

             ≈758.73053 square in

              = 758.7 square in. ( rounded to the nearest tenth).

Hence the area of regular pentagon is 758.7 square in.

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Answer:

1. No.

2. Yes, there is no solution here.

Step-by-step explanation:

The former:

\(8(5x - 3) = 6(-3x - 4); \\ 8 * 5x - 8 * 3 = 6 * (-3x) - 6 * 4; \\ 40x - 24 = -18x - 24; \\ 40x + 18x = -24 + 24; \\ 58x = 0; \\ x = 0.\)

\(\{0\}\) is our set of solutions.

The latter:

\(3x - 13 = 7(x + 2) - 4(x - 7); \\ 3x - 13 = 7x + 7 * 2 - 4x - 4 * (-7); \\ 3x - 13 = 7x + 14 - 4x + 28; \\ 7x - 4x - 3x = -13 - 14 - 28;\\ 0x = 55; \\ x \in \emptyset.\)

In other words, there is not any solution from the set of real numbers that suits us.

Answer:

1375 square inches

Step-by-step explanation:

Rectangle 1

Area= 25*10= 250 square inches

Rectangle 2

Area= 75*15= 1125 square inches

Total Area of rectangle= 1125+250

=1375 square inches

Line AB intersects line CD at point F. If m∠AFC = (9x − 3)° and m∠BFD = (6x + 9)°, then m∠AFC is 33 degrees.

What are the intersections of lines?

Two or more lines that share exactly one common point are called intersecting lines. This common point exists on all these lines and is called the point of intersection.

We can start by using the fact that the sum of the angles on one side of a transversal is 180 degrees. Since point F is the point where lines AB and CD intersect, we can write:

m∠AFC + m∠CFD = 180° (angles on one side of the transversal)

Similarly, for the other side of the transversal, we have:

m∠BFD + m∠CFD = 180° (angles on one side of the transversal)

We are given that m∠AFC = (9x - 3)° and m∠BFD = (6x + 9)°, so we can substitute these values into the equations above:

(9x - 3) + m∠CFD = 180°

(6x + 9) + m∠CFD = 180°

Simplifying these equations, we get:

m∠CFD = 183 - 9x

m∠CFD = 171 - 6x

Since both of these expressions are equal to m∠CFD, we can set them equal to each other and solve for x:

183 - 9x = 171 - 6x

3x = 12

x = 4

Now that we have found x, we can substitute it back into the expression for m∠AFC to find its value:

m∠AFC = 9x - 3

m∠AFC = 9(4) - 3

m∠AFC = 33

Therefore, Line AB intersects line CD at point F. If m∠AFC = (9x − 3)° and m∠BFD = (6x + 9)°, then m∠AFC is 33 degrees.

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Answer: A -3

Step-by-step explanation: hope this helps

Answer:

W = (-3) A

Step-by-step explanation:

hope this helps

Answer:

m = slope = -2

Step-by-step explanation:

\(\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{10-2}{-1-3} = \frac{8}{-4} = -2\)

Hope this helped! :)

Out of the given figures, namely, a square, triangle, a trapezoid, a regular pentagon, and a rhombus, a test would require selecting a figure among these figures.

However, we can understand the nature of each of these figures, their characteristics, properties, and formulas related to them, and determine how to select a figure for the test.The square has four sides and four right angles, with all sides of equal length.

Its formula for area is A = s²,

where s is the length of the sides.

The triangle is a polygon with three sides, with its area calculated as A = (1/2)bh,

where b is the base and h is the height of the triangle.A trapezoid is a quadrilateral with only one pair of parallel sides. Its formula for area is A = [(b1+b2)/2]h,

where b1 and b2 are the lengths of the parallel sides, and h is the height of the trapezoid.

A regular pentagon is a polygon with five sides, with all sides of equal length. Its area formula is A = (1/4)s²√(25+10√5), where s is the length of the sides.

The rhombus has four equal sides, with opposite angles being equal.

Its area formula is A = (1/2) d1d2, where d1 and d2 are the lengths of the diagonals.

Depending on the nature and level of the test, the selection of any of the figures can vary. For example, if the test is related to the calculation of areas, the selection of square, triangle, trapezoid, and rhombus would be more appropriate, while the selection of a regular pentagon can be suitable for a more advanced test.

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Answer:

c

Step-by-step explanation:

the axis meets as that point.

Answer: C

Step-by-step explanation: the answer is C trust me I’m learning this in school :)

Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

To define a default field value in a form or a database, you can use the attribute "default". When you add the "default" attribute to a field, it will automatically assign the specified value to that field if no other value is provided by the user or system.

This can be particularly useful when designing forms or databases that require certain fields to have a value even when the user does not provide one.
For example, in a web form, you might have a "Country" field that requires users to select their country from a dropdown list. By setting a default value for this field, such as "United States," the system ensures that there is always a value associated with that field even if the user does not make a selection.
Similarly, in a database schema, you might have a "DateCreated" field that automatically assigns the current date and time as the default value. This ensures that the date and time are always recorded for each new entry, even if the user does not manually input a value.
In both cases, the "default" attribute allows you to streamline the data collection process and ensure that your forms and databases maintain consistent and complete data. Using default values can also improve the user experience by reducing the amount of input required, making it easier for users to complete forms and submit their data.

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The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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Answer:

167

Step-by-step explanation:

89-g8+16

Answer:

C

Step-by-step explanation:

\((a^{-2}*8^{7})^2 = a^{-2*2}*8^{7*2} = a^{-4}*8^{14}\)

The confidence interval (149.2, 206.4) can be written as ¯x ± me, where ¯x = 177.8 and me = 28.6. The sample mean (¯x) is the midpoint of the confidence interval

To express the confidence interval (149.2, 206.4) in the form of ¯x ± me, we need to calculate the sample mean (¯x) and the margin of error (me).

The sample mean (¯x) is the midpoint of the confidence interval and can be calculated by taking the average of the upper and lower bounds of the interval:

¯x = (149.2 + 206.4) / 2 = 177.8

Next, we calculate the margin of error (me) by finding the half-width of the confidence interval:

me = (206.4 - 149.2) / 2 = 28.6

Therefore, the confidence interval (149.2, 206.4) can be expressed in the form of ¯x ± me as:

¯x ± me = 177.8 ± 28.6

Hence, the confidence interval (149.2, 206.4) can be written as ¯x ± me, where ¯x = 177.8 and me = 28.6.

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Answer:

y= -1/3x + 1

Step-by-step explanation:

y = mx + c

y = gradient(x intercept) + y intercept

y= -1/3x + 1

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

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The correct answer is option A which is the graph of f(x) is vertically compressed by a factor of 7 and shifted 16 units down.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given functions are:-

When we plot the graph of the two functions given in the question we will see that the graph of the function F(x) = x²-16 is compressed by the factor 7 and the vertex of the graph shifted to the 16 points down.

Therefore the correct answer is option A which is the graph of f(x) is vertically compressed by a factor of 7 and shifted 16 units down.

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The equation will be changed into = f(x)= 32

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 printed 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 has no "equal to" sign.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Hence, The equation will be changed into = f(x)= 32

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We have that the point-slope form is

where (x1,y1) is a point that the line pass through and m is the slope

In our case we have

(4,6)=(x1,y1)

m=5

we substitute the values and we obtain the point-slope form

then we need to isolate the y in order to have the slope-intercept form

the slope-intercept form is y=5x-14

Answer:

x = 8 or x = 2

Step-by-step explanation:

We know x - 5 = 3 or x - 5 = -3.

Possibility 1:

Step 1: Add 5 to both sides.

Possibility 2:

Step 1: Add 5 to both sides.

Step 2: Check if both solutions apply to original equation.