Over the last baseball season, Billy averaged 28 hits per 100 turns to bat, while Carl averaged one hit for every 2.5 turns. At these rates, which player would have more hits in 500 turns to bat, and how many more?

According to this the temperature in February = 4.5°F.

The absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5. A number's absolute value can be conceived of as its proximity from zero along the real number line.

The temperature on the same day in February has the same absolute vale as the temperature in the January, but is not the same temperature according to this the temperature in February = 4.5°F.

The absolute value is the same but not the same temperature:

|-4.5| = 4.5

So,

Its 4.5°F

According to this the temperature in February = 4.5°F.

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Answer:

207  2 hundreds seven ones

Step-by-step explanation:

Answer:

147 different choices.

Step-by-step explanation:

(7)(3)(7) = 147

Hope this helps

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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The decimal approximation for the trigonometric function sin 28°48' is

Given the trigonometric function is sin 28°48'

The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.

To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°

sin (28°48') = sin(28° ₊ (48 × 1/60)°)

= sin(28° ₊ (48 /60)°)

= sin(28° ₊ 4°/5)

= sin(28° ₊ 0.8°)

= sin(28.8°)

= 0.481753

Therefore sin (28°48') is 0.481753.

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∠DFG and ∠JKL are complementary angles

Measure of each angle

Given :

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,

and m∠JKL = x − 1

When two angles are complementary then the sum of angles is 90 degrees

∠DFG and ∠JKL are complementary angles.

So,

Now replace the expressions and solve for x

Now replace x with 43 and find out each angle

Answer: last one

Step-by-step explanation:

I think it's the last one because the value of 8 is negative and the value of 1 is positive. however, rita changes the negative and positive numbers and thats why she is wrong.

The property of addition that represents this is the zero property of addition

The equation is given as:

a + bi + 0 + 0i = a + bi

In the above equation, the number is added by 0 and the result is the initial number

The property of addition that represents this is the zero property of addition

Because it states that

a + 0 = 0

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Answer:

The value of s is 15

Step-by-step explanation:

so first you count all the sides and add them up

s+6+s+6+s+2s+s=102

6s+12=102

6s=90

s=15!!

After that you plug that into to the equations for the answer.

Hope this helps!

The number of line segments in the 100th pattern is equal to 201 line segments.

Triangles are polygons with three sides of equal length, herein we find constructions elaborated with equilateral triangles, in which two new line segments are added when an equilateral triangle is so. Then, the number of line segments can be modelled after the following linear progression formula:

n = 3 + 2 · (n - 1)

Where n is the number of equilateral triangles in the pattern.

If we know that n = 100, then the number of line segments is:

n = 3 + 2 · (100 - 1)

n = 3 + 2 · 99

n = 3 + 198

n = 201

The number of line segments in the 100th pattern is equal to 201 line segments.

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I will have 5 stampers

I, Newton and Descartes have 17 Stampers in total

Newton and Descartes have 6 stampers each

6 + 6

= 12

The number of stampers left for me can be calculated as follows

= 17 - 12

= 5

Hence I have 5 stampers  

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Answer:

10 and 28

Step-by-step explanation:

let x be one number then the other is x + 18 ( 18 more than the other ), then

x + x + 18 = 38

2x + 18 = 38 ( subtract 18 from both sides )

2x = 20 ( divide both sides by 2 )

x = 10

and x + 18 = 10 + 18 = 28

the 2 numbers which divide 38 into the 2 parts are 10 and 18

Answer:

m will be the right answer

Answer:

(3, -1)

Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates. The origin, denoted by the letter "O," is the point where the two number lines intersect. The horizontal number line is known as the X-axis, and the vertical number line is known as the Y-axis.

Reflection of a coordinate in x-axis, negates the y - coordinate.

So, negation of 1 = -1

So, the new coordinate is ( 3, -1)

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Answer:

1propotion 2fraction is how it goes

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Answer:

Step-by-step explanation:

-4p+-2= -6p
-6p+2= -4p
-4p+3= -1p

= -1p

Answer: 120 ==> scale

8.4 m==> longer side

Step-by-step explanation:

6 m=

6*100 cm=600 cm

600/5=120 ==> scale

7*120=840 cm

840 cm=

840/100 m=8.4 m ==> longer side

a. |u + v| = 4

b.  |(u + 2v) × v| = 16

Vectors are known as quantities having both magnitude and direction.

Given that;

a.  |u + v|

Substitute the values of the vectors

|u + v| = 1 + 3

|u + v| = 4

b.  |(u + 2v) × v|

Expand the bracket

|u. v + 2v² |

But u. v = -2

We then have;

-2 + 2(3)²

-2 + 2(9)

-2 + 18

16

Thus, the values are 4 and 16 respectively.

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

Work Shown:

First replace every copy of n with 2

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_2 = 3*(a_{2-1}) - 6\\\\a_2 = 3*(a_{1}) - 6\\\\a_2 = 3*(7) - 6\\\\a_2 = 21 - 6\\\\a_2 = 15\\\\[/tex]

Notice how the second term [tex]a_2[/tex] relies on the first term [tex]a_1[/tex]

Then repeat for n = 3

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_3 = 3*(a_{3-1}) - 6\\\\a_3 = 3*(a_{2}) - 6\\\\a_3 = 3*(15) - 6\\\\a_3 = 45 - 6\\\\a_3 = 39\\\\[/tex]

Same goes with n = 4

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_4 = 3*(a_{4-1}) - 6\\\\a_4 = 3*(a_{3}) - 6\\\\a_4 = 3*(39) - 6\\\\a_4 = 117 - 6\\\\a_4 = 111\\\\[/tex]

Finally plug in n = 5

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_5 = 3*(a_{5-1}) - 6\\\\a_5 = 3*(a_{4}) - 6\\\\a_5 = 3*(111) - 6\\\\a_5 = 333 - 6\\\\a_5 = 327\\\\[/tex]

-----------------------------------

We have this summary:

[tex]a_1 = 7\\\\a_2 = 15\\\\a_3 = 39\\\\a_4 = 111\\\\a_5 = 327\\\\[/tex]

The first five terms are:  7, 15, 39, 111, 327

1a)The total direct manufacturing cost incurred to make 14,000 units is $162,400.

1b)The total indirect manufacturing cost incurred to make 14,000 units is $99,400.

2a)The total manufacturing cost directly traceable to the Manufacturing Department is $261,800.

2b)The total fixed portion of the sales representatives’ compensation is $14,000.

3a)The total direct selling expense that can be readily traced to individual sales representatives is $32,200.

3b)The total fixed portion of the sales representatives’ compensation is $14,000.

Cost Accounting is a procedure in which raw data are refined and provides information to the management which plays an important role in the decisions to be taken. The product costs and cost of services can be ascertained with the help of cost accounting.

In variable costing only the manufacturing costs which vary with the output are treated as product costs. As such only the variable part of the manufacturing cost like direct materials, direct labor and variable portion of manufacturing overhead is treated as product cost.

The costs which are incurred for the production of a product are product costs. The costs which are the considered and included in the product costs are direct materials, direct labor and manufacturing overhead.

The costs which are expensed when incurred are referred to as period costs. These costs are not capitalized. These costs are not considered as a part of cost of goods sold. It includes selling expenses, advertising expenses, depreciation expense etc.

Those costs which remain constant and do not change with the changes in the level of activity are known as fixed costs. It is also referred to as time-related costs. Examples of fixed expense are: Fixed factory overhead, Fixed selling and administrative expense, Depreciation, Property taxes.

When the manufacturing department is the cost object, then in such a case the cost incurred for manufacturing the product also includes the manufacturing overhead costs. Such costs are to be directly traced to the products. So, the total direct manufacturing cost incurred is computed by multiplying the cost per unit obtained by adding the direct materials, direct labor, variable manufacturing cost per unit and fixed manufacturing cost per unit by the number of units. Therefore, the total direct manufacturing cost incurred to make 14,000 units is $261,800.

When the manufacturing department is the cost object, then the costs incurred in the manufacturing department is to be allocated to the products directly. Such costs are directly traceable to the products. When the cost object is Manufacturing Department then the indirect manufacturing costs does not exist because the costs are traceable to the Manufacturing Department easily. Therefore, the manufacturing costs are not to be considered as indirect costs when the Manufacturing Department is the cost object.

The total fixed selling expense is computed by multiplying the fixed selling expense per unit by the number of units. Then, the amount of advertising expense is deducted from the total fixed selling expense to compute the fixed portion of the sales representatives’ compensation. Therefore, the amount of fixed portion of the sales representatives’ compensation is $14,000.

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The length of the arc is calculated for the given semicircle as 15.7 units.

For, the given question.

The radius of the semicircle is 5 units.

The length of the arc of semicircle is equal to the perimeter of the semicircle.

The formula for perimeter;

P = πr

where, r is the radius and π = 3.14.

Put the values in the formula.

Perimeter = 3.14×5

Perimeter = 15.7 units.

Therefore, the length of the arc of the semicircle is 15.7 units.

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Answer:

x ≤ 0 = no solution

Step-by-step explanation:

[tex]\sf (-2x)2x+1-2x=2x-1-2x\\1=-1\\= 0\\No~solution.[/tex]

[tex]\huge\mathcal {♨Answer♥}[/tex]

Let's get the width as [tex]\large\texttt {x}[/tex]

So,

The length of the rectangle is [tex]\large\texttt {2x +2}[/tex]

The perimeter of the rectangle is [tex]\large\texttt {82 inches}[/tex]

Let's get the answer for width,

☆ 2 (2x + 2) + 2x = 82

4x + 4 + 2x = 82

6x + 4 = 82 - 4

6x ÷ 6 = 78 ÷ 6

x = 13

Let's get the answer for length,

☆ 2x + 2

2 × 13 + 2

28

Then,

[tex]\large\texttt {↪The width is 13 inches}[/tex]

[tex]\large\texttt {↪The length is 28 inches}[/tex]

☆...hope this helps...☆

_♡_mashi_♡_

The 73rd term of  the arithmetic sequence 18,30,42 = 882.

An arithmetic sequence seems to be a series of numbers that are ordered and share a common difference amongst each succeeding term. There are arithmetic sequences 3, 9, 15, 21, and  27, for example, the common difference is 6. An arithmetic progression is another name for an arithmetic sequence.

The sequence is not arithmetic if the difference between subsequent terms is not constant. Subtracting two consecutive elements from the sequence yields a common difference.

Let us now look for the explicit rule for with this arithmetic sequence. We have the following:

aₙ = a₁ + (n - 1) * d

  = 18 + 12 * (n - 1)

  = 12n + 6.

The 73rd term is 12 (73) + 6 = 882.

The 73rd term of  the arithmetic sequence 18,30,42 = 882.

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Based on the given parameters, the numerical length of PT is 9 units

The given parameters are:

P is a point on ST such that P is between S and T.

SP = x + 3,

PT = 2x - 1

ST = 17

The statement "P is a point on ST such that P is between S and T" implies that

ST = SP + PT

Substitute the known values in the above equation

17 = x + 3 + 2x - 1

Evaluate the like terms

17 = 3x + 2

Add 2 to both sides of the equation

3x = 15

Divide both sides of the equation by 3

So, we have

x = 5

Substitute x = 5 in PT = 2x - 1

So, we have

PT = 2 x 5 - 1

Evaluate

PT = 9

Hence, the numerical length of PT is 9 units

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