Which is an equivalent expression for 48 + 18x? *
6 (8 + x)
6 (8 + 3x)
2 (24 + 8x)
3 (15 + 6x)

The repairs have indeed changed the nature of the output of the machine, with an overall improvement in the quality of the parts produced.

To determine if the repairs have changed the nature of the output of the machine, we can compare the percentages of excellent, good, and unacceptable parts before and after the repairs.

Before repairs:
- 80% excellent
- 16% good
- 4% unacceptable

After repairs, we can calculate the percentages based on the sample of 200 parts:
- 157 excellent parts: (157/200) * 100 = 78.5% excellent
- 42 good parts: (42/200) * 100 = 21% good
- 1 unacceptable part: (1/200) * 100 = 0.5% unacceptable

Comparing these percentages, we can see that the output has changed after the repairs:
- Excellent parts decreased from 80% to 78.5%
- Good parts increased from 16% to 21%
- Unacceptable parts decreased from 4% to 0.5%

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Answer:

63

Step-by-step explanation:

Use Pythagorean theorem,

base² + altitude² = hypotenuse²

a² + 9² = 12²

       a² = 12² - 9²

      a² = 144 - 81

     a² = 63

      a = √63

Answer:

D

Step-by-step explanation:

8 3/5 is a number greater than 8 but minor than 9

Answer:-9.9   -7 7.9 9.7

Step-by-step explanation:

The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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Answer:

The two numbers are 14 and 4

Step-by-step explanation:

Let x and y be the two numbers

x+y = 18

x-y = 10

Add the two equations

x+y = 18

x-y = 10

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

2x    = 28

Divide by 2

2x/2 = 28/2

x = 14

Now find the other number

x+y =18

14+y = 18

y = 18-14

y=4

The two numbers are 14 and 4

We are given two figure, i) Cube, ii) rectangular box

The volume of any shape is calculated by multiplying height, width, length.

Volume = height x length x width

In the case of a cube, all the dimensions are the same. So volume would be = length x length x length

here, length = 6

So,

V(cube) = 6^3

For a rectangular box:

V(rect) = height x length x width

V(rect) = h x 12 x 6

As given, V(cube) = V(rect). Therefore,

6^3 = h x 12 x 6

Hence, the first option is correct.

Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer: 1/12 x + 1/3

Hope this helps.

The THEORETICAL probability of choosing a vowel is 3/8 and the experimental probability is 36/75

From the question, we have the following parameters that can be used in our computation:

In the letters of the word, we have

Vowels = 3

Letters = 8

By calculation, the theoretical probability of choosing a vowel is

Theoretical probability = Vowels/Letters

So, we have

Theoretical probability = 3/8

Based on the experiment, we have

Vowels = 15+9+12 = 36

Letters = 8+15+7+5+20+20 = 75

So, we have

Experimental probability = 36/75

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Answer:

Question 1

The greatest number of treasure chest you can fill = 23

Step-by-step explanation:

Gold coins = 46

Diamonds = 115

Rubies = 184

To determine the greatest number of treasure chests you can fill, find the highest common factors of 46, 115 and 184

46 = 1, 2, 23, 46.

125 = 1, 5, 23, 115

184 = 1,2,4,8,23,46,92,184

The highest common factors of 46, 115 and 184 is 23

The greatest number of treasure chest you can fill = 23

Number of gold coins in each chest = 46/23

= 2

Number of diamonds in each chest = 115 / 23

= 5

Number of rubies in each chest = 184 /23

= 8

Question 2

Nickels = 246

Dimes = 312

Quarters = 204

Find the highest common factor of 246, 312, 204

246 = 1, 2, 3, 6, 41, 82, 123, 246

312 = 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.

204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The highest common factor of 246, 312, 204 is 6

How many are in your group?

6 members

There are 6 members in your group that each person got the same exact amount of each coin with no coins remaining.

Number of nickels each person receive = 246 / 6

= 41

Number of dimes each person receive = 312 / 6

= 52

Number of quarters each person receive = 204 / 6

= 34

Answer:

Area of a Circle = 254.34 cm²

Step-by-step explanation:

Area of a Circle = π r²

Area of a Circle = 3.14 * 9²

Area of a Circle = 254.34 cm²

The radius of this disk r is ± 9 √(1 - 2x^2).

The radius of the disk created by rotating the strip of width δx around the x-axis can be found using the Pythagorean theorem. Consider a right triangle with the horizontal leg equal to δx, the vertical leg equal to the height of the strip (which is equal to 9 - 9x^2), and the hypotenuse equal to r. We have:

δx^2 + (9 - 9x^2)^2 = r^2

Expanding and simplifying the square on the right-hand side, we get:

δx^2 + 81 - 162x^2 + 81x^4 = r^2

Since δx is infinitesimal, we can neglect it compared to 81 and 162x^2. Thus,

r^2 ≈ 81 - 162x^2

Taking the square root of both sides, we get:

r ≈ ± 9 √(1 - 2x^2)

where the positive sign corresponds to the upper half of the disk and the negative sign corresponds to the lower half.

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Answer:

x = 55

Step-by-step explanation:

125 is a corresponding angle to the supplesmntary angle of x. ( the angle next to x, the one that completes x to make it 180, is the same value as 125)

180 - 125 = 55

x = 55

- hope this makes sense

Based on the consecutive exterior angles theorem, the value of x is calculated as: 55°

Therefore,

x = 180° - 125°

x = 55°

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Answer: valu of a

Step-by-step explanation: I Did the test

Answer:

The value of A affects the answer.

Answer:

WFF

Step-by-step explanation:

savoy..it's me Wolfie it's been so long, I really hope you remember me...

The length and width of a rectangle are 36cm and 4.5cm

Finding the Width:

The formula to find the perimeter of the rectangle is:

P=2(l+w),

where P is the perimeter, l be the length, and w be the width.

Now substitute the given values to solve for w, since we need to find the width.

The given information is:

the length of a rectangle is six inches more than eight times the width so the equation becomes:

L=8w+6

P=120

w=8w

now plug the values in the above formula:

P=2(l+w),

120=2(8w+6)+8w

120=16w+12+8w

120=24w+12

24w=108

w=4.5

To find the length just substitute in the L.

L=8(4.5)+6

L=30+6

L=36

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The length of the rectangle is 25 cm and the width is 10 cm.

We shall represent the length and width of the original rectangle with x and y respectively so that the perimeter is;

2(x + y) = 70 {divide through by 2}

x + y = 35...(1)

length of new rectangle = x - 5

width of new rectangle = y + 5

area of new rectangle:

(x - 5)(y + 5) = xy + 50

xy + 5x - 5y - 25 = xy + 50

xy - xy + 5x - 5y = 50 + 25

5x - 5y = 75 {divide through by 5}

x - y = 15...(2)

add equations (1) and (2) we have;

x + y + x - y = 35 + 15

2x = 50 {divide through by 2}

x = 25

substitute 25 for x in equation (1), we have;

25 + y = 35

y = 35 - 25 {subtract 25 from both sides}

y = 10

Therefore, have the length and width of the original rectangle to be x = 25 cm and y = 10 cm respectively.

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The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

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Step-by-step explanation:

in my opinion

2(4x-5)-2=-4

=2×4x-2×5-2=-4

8x-10-2=-4

8x=-4+10+2

8x=-4+12

8x=-16(divide both sides by 8)

×=2

Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.

Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.

Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.

Part A:

For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.

Part B:

For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.

Part C:

For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.

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Answer: 24%

Step-by-step explanation:

Answer:  0.24%

Step-by-step explanation: i hope this helps have a blessed day

The length of this rectangular room is equal to 9 meters.

The breadth of this rectangular room is equal to 5 meters.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = xy

Where:

If length would become 3 meters less and breadth would become 1 meter more, we have the following expressions;

y = x - 3

x = y + 1

45 = xy

When the rectangle turns to a square, all of the side lengths become equal;

y + 1 = x - 3

x = y + 4

From the area of a rectangle formula, we have:

45 = (y + 4)y

45 = y² + 4y

y² + 4y - 45 = 0

y² + 9y - 5y - 45 = 0

y(y + 9) - 5(y + 9) = 0

y = 5 or -9 meters.

For the length, we have:

x = y + 4

x = 5 + 4

x = 9 meters.

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Answer:

1/2

Step-by-step explanation:

In a triangle rectagle:

Sinx= opposite leg / hypotenuse

On your case:

sin (30°)= 5/10= 1/2

Answer:

using trigonometry :

\( \sin(30) = \frac{perpendicular}{hypotenuse} \)

\( \sin(30) = \frac{5}{10} \)

\( \sin(30) = \frac{1}{2} \)

In general, whether or not an individual needs to file a tax return depends on a number of factors, including income, filing status, and age.

In the United States, for example, the IRS sets income thresholds each year, and individuals whose income exceeds these thresholds are generally required to file a tax return.

However, there are many exemptions and exceptions to this general rule, and individuals should consult the IRS website or a tax professional for more information specific to their situation.

Other countries may have different rules and requirements for filing tax returns, so it's important to check with the tax authority in your own country for specific guidance.

P.S Your question is incomplete, so I gave you a general overview to help you better understand filing tax returns.

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Answer:

C

Step-by-step explanation:

Answer:

Hi^^^its Anime

What is the range of this relashinship for

(17, 1)

(12, -19)

(7, 4)

(17, 11)

Would be  (-17, 7, 12, 17) known as b).

Step-by-step explanation:

The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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Answer:

\(h(7) - 3 = \: 5 {(7)}^{2} + 11 - 3 \\ = 5(49) + 8\)

answer: the answer is 253

Answer:

z = 115 degrees

x = 15

y = 25

Step-by-step explanation:

The angles do not change so z = 115 degrees as it is congruent to angle R

30/25 = 18/x

18 x 25 = 30x

450 = 30x

x = 15

30/y = 18/15

30 x 15 = 18y

450 = 18y

y = 25