A company manufactures industrial laminates (thin nylon-based sheets) of thickness 0.016 in., with a tolerance of 0.004 in.
0.016 in.
(a) Find an inequality involving absolute values that describes the range of possible thickness for the laminate. (Use h for
the thickness.)
(b) Solve the inequality that you found in part (a). (Enter your answer using interval notation.)

Answers

Answer 1

An inequality involving absolute values that describes the range of possible thickness for the laminate.

|h - 0.016| <= 0.004The range of possible thickness for the laminate is given by the interval (0.012, 0.02).

What is inequality?

(a) The range of possible thickness for the laminate is given by the tolerance of 0.004 in., so we can write an inequality involving absolute values as:

|h - 0.016| <= 0.004

(b) To solve the inequality, we need to consider two cases:

Case 1: h - 0.016 <= 0.004

             h <= 0.02

Case 2: h - 0.016 >= -0.004

             h >= 0.012

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Related Questions

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

5 hope that helps you

I need help simplifying this math equation please ?

Answers

Answer:

9

Step-by-step explanation:

mathwa y use your pic and do it

9 i think i might be correct

PLS HELP!!!! Will give brainliest (multiple answers) 40PTS
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The following table shows the number of sales each salesman had during the first three weeks of this month.

Week 1 Week 2 Week 3
Salesman A 11 14 16
Salesman B 14 15 13
Salesman C 16 12 11
In which week(s), did Salesman C have a larger paycheck than both of the other salesmen? Select all that apply.

Week 3
None of the weeks.
Week 2
Week 1

Answers

Salesman C have a larger paycheck than both of the other salesmen in

None of the weeks.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Salesman A works  earns $65 per sale, with a maximum weekly commission of $1,300

Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale.

Salesman C does not earn any commission. His weekly salary is $900.  Now we have that, A is getting $1300 commission,

and, salary of C is $900, he has no commission.

i.e. C can't earn more than A

Hence, Salesman C have a larger paycheck than both of the other salesmen in None of the weeks.

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The solution is Option D.

The week 1 is when Salesman C have a larger paycheck than both of the other salesmen and is given by the equation C = $ 900

What is an Equation?

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.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of sales be represented as x

Let the maximum weekly salary of Salesman C be = $ 900

Now , the weekly salary of Salesman A = $ 65x

where x is the number of sales

And , the weekly salary of Salesman B = $ 300 + $ 40x

Now , on week 1,

Salesman A made 11 sales

Substitute the value of x = 11 in the equation , we get

So , the salary of Salesman A on week 1 = 65 ( 11 )

On simplifying the equation , we get

The salary of Salesman A on week 1 = $ 715

And , Salesman B made 14 sales

Substitute the value of x = 14 in the equation , we get

The salary of Salesman B on week 1 = 300 + 40 ( 14 )

On simplifying the equation , we get

The salary of Salesman B on week 1 = 300 + 560

The salary of Salesman B on week 1 = $ 860

So , Salary of Salesman C on week 1 > salary of Salesman B on week 1 > salary of Salesman A on week 1

And , $ 900 > $ 860 > $ 715

Hence , the solution to the equation is week 1

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Can someone find an equation for this because I am stuck on this. Thanks

Answers

Answer:

y = 11.5x - 18

Step-by-step explanation:

i created this table in desmos and then entered this equation underneath:

y₁ (tilda sign) = mx₁ + b

desmos will draw a line of best fit and provide the correlation coefficient, slope, and y-intercept

plzzzz help, it’s on khan academy

Answers

Hey! It’s C because u multiple the 6 with the -2 and that’s -12 so 7^-12

Tell whether the rate form a proportion. 4. 8 lap every 8 minute; 3. 6 lap every 6 minute

Answers

Yes, the rate 4.8 laps every 8 minutes; 3.6 laps every 6-minute form a proportion.

A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows:

1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)

4.8 lap every 8 minutes will be equal to (4.8/8) = 0.6 lap a minute.

3.6 lap every 6 minutes will be equal to (3.6/6) = 0.6 lap in a minute.

Here, as the value of the ratio of both the quantities are same so the given values are said to be in Proportion.

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A water sample must be taken from water at least 20 feet deep. Find the depth of the water feet from shore

Answers

The depth of water from the shore is 15 feet.

What is a proportion?

A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.

The cross-products of a proportion are also equal, so ad = bc.

To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:

5 = 50/d * 1.5

Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:

5 = 75/d

To solve for d, you can now cross-multiply to get:

75 = 5d

Finally, you can divide both sides of the equation by 5 to get:

d = 75/5

d = 15

the value of d is 15.

Hence, the depth of water from the shore is 15 feet.

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The depth of water from the shore is 15 feet.

What is a proportion?

A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.

The cross-products of a proportion are also equal, so ad = bc.

To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:

5 = 50/d * 1.5

Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:

5 = 75/d

To solve for d, you can now cross-multiply to get:

75 = 5d

Finally, you can divide both sides of the equation by 5 to get:

d = 75/5

d = 15

the value of d is 15.

Hence, the depth of water from the shore is 15 feet.

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Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer:

25

Step-by-step explanation:

By the Pythagorean Theorem, the sum of the squares of the leg lengths is equal to the square of the hypotenuse:

[tex]a^2+b^2=c^2\\20^2+15^2=c^2\\400+225=c^2\\625=c^2\\25=c[/tex]

Hence, the hypotenuse has a length of 25

Please help me with this question.​

Answers

Answer:

It's (-1, -5) .................... .

Chapter 3 Lesson 4 Arithmetic Sequence

Answers

Answer:

Step-by-step explanation:

1) 1,15,29,43,57,.....

here, 15-1 =14 and 29-15=14

therefore,it is an arithmetic sequence with common difference = 14

2) 3,6,9,15,17,....

here, 6-3=3, 9-6=3 , 15-9=6

therefore,it is not an arithmetic sequence.

3) 93,86,79,72,65,......

here, 86-93=-7 , 79-86=-7 and 72-79=-7

therefore,it is an arithmetic sequence with common difference = -7

4) 37,34,31,29,26,......

here, 34-37 = -3,31 - 34 = -3,29 - 31 =-2

therefore,it is not an arithmetic sequence.

Si se tiene cierta cantidad de alimento para mantener por 14 días a 40 cerdos; la cantidad de días que puedo mantener a los cerdos si se aumentan en un 40% es.

Answers

Answer:

La cantidad de días para mantener una población de cerdos mayor en 40 % es de 10 días.

Step-by-step explanation:

Para una misma cantidad de alimentos, el tiempo de duración de los alimentos ([tex]t[/tex]) es inversamente proporcional a la cantidad de cerdos ([tex]c[/tex]), es decir:

[tex]t \propto \frac{1}{c}[/tex]

[tex]t = \frac{k}{c}[/tex] (1)

Donde [tex]k[/tex] es la constante de proporcionalidad, en días.

Podemos eliminar esa constante mediante la siguiente relación:

[tex]\frac{t_{1}}{t_{2}} = \frac{c_{2}}{c_{1}}[/tex] (2)

Si sabemos que [tex]t_{1} = 14\,dias[/tex], [tex]c_{1} = 40[/tex] and [tex]c_{2} = 56[/tex], entonces la cantidad de días asociada una población de cerdos mayor en 40 % es:

[tex]t_{2} = t_{1}\times \frac{c_{1}}{c_{2}}[/tex]

[tex]t_{2} = 14\,dias \times \frac{40}{56}[/tex]

[tex]t_{2} = 10\,dias[/tex]

La cantidad de días para mantener una población de cerdos mayor en 40 % es de 10 días.

In the arrangement below, each number is the non-negative difference of the two numbers above it. What is the sum of the four greatest distinct possible values for $z$

Answers

The numbers in the arrangement can be represented by x, y, z, a, b, c and d, where x is at the top and d is at the bottom. The relationship between the numbers is as follows:

x = y - z

y = a - b

z = c - d

We can use this information to find the values of z, c, and d in terms of x, y, and a:

z = y - x

c = z + d

d = z - c

Since we are looking for the four greatest distinct possible values for z, we can assume that x, y, and a are as small as possible (i.e. 0) and c and d are as large as possible.

Thus, the four greatest distinct possible values for z are:

z = y - x = 0 - 0 = 0

z = a - y = 0 - 0 = 0

z = c - d = c

z = c - d = d

The sum of these four values is 0 + 0 + c + d = c+d.

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Plz help will mark brainliest plz!!

Answers

Answer:

Total area of the fabric = 66 in.²

Step-by-step explanation:

The diagram of the stretched fabric shown takes the shape of a kite having two diagonals that intersect each other.

Total area of the fabric = area of the kite = ½(product of the two diagonals)

= ½(AC × BD)

We need to find AC and BD

BE = DE = 6 in. (Equal lengths)

BD = BE + DE

BD = 6 + 6 = 12 in.

AC = AE + CE

Apply Pythagorean theorem to find AE and CE

✔️AE = √(AB² - BE²) = √((√45)² - 6²) = √(45 - 36) = √9 = 3 in.

✔️CE = √(CD² - DE²) = √(10² - 6²) = √(100 - 36) = √64 = 8 in.

FIND AC:

✔️AC = AE + CE

AC = 3 + 8

AC = 11 in.

FIND the total area of the fabric:

✔️Total area = ½(AC × BD) = ½(11 × 12)

= ½(132)

= 66 in.²

Find the values of x and y in parallelogram PQRS.


PT =y. TR = 3x + 1, QT = 3y. TS = 5x + 11



x=


y=



PLEASE HELPPP!!!!

Answers

In the parallelogram PQRS, x = 2 and  y=7

Parallelogram:

A parallelogram is a quadrilateral with two pairs of parallel sides. A parallelogram has opposite sides of equal length and opposite angles of equal length. Also, the interior angles on the same side of the horizontal line are supplementary angles. The sum of all interior angles is 360 degrees. A three-dimensional shape whose faces are parallelograms is called a parallelepiped. The area of ​​a parallelogram depends on its base (one of its parallel sides) and its height (height drawn from top to bottom). The perimeter of a parallelogram depends on the length of its four sides.

Given that

PT=​y, TR=3x+​1, QT=3​y, TS=5x+11

The diagonals of a parallelogram bisect each other

PT = TR    and  QT = TS

y = 3x+1     and 3y = 5x+11

Now,

We have a system of equations

Multiply the first equation by 3

3y = 9x+3  and 3y = 5x+11

Set them equal

   9x + 3 = 5x + 11

⇒ 9x - 5x = 11 -3

⇒ 4x = 8

⇒ x =2

Now,

Putting the value of x =2 in equation :

y = 3x+1

  =3(2)+1

  =7

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70%of $10=$
Comlelete the folling statements

Answers

Answer:

$7

....

....

....

....

....

Which expression is equivalent to:
6x – 5 + x + 3x?
a) 9x – 5
b) 10x-5
c) -15x
d) 5x

Answers

B.) 10x-5 is equivalent to 6x – 5 + x + 3x

In the figure below, there are three right trangles. Complete the following.
A
C
D
B
(a) Write a similiarity statement relating the three right triangles.
ACDA~A~A
(b) Complete each proportion.
BD
BC
BC
DA
DC
=
0
BD
X
5

Answers

Part (a)

Let one of the angles be [tex]\theta[/tex]. After solving for all of the other angles using the triangle sum theorem, we see that [tex]\triangle CDA \sim \triangle BDC \sim \triangle BCA[/tex].

Part (b)

[tex]\frac{BD}{BC}=\frac{BC}{CA}, \frac{DA}{DC}=\frac{DC}{DB}[/tex]

Tamicca bought a Computer for $1200 and made 12 monthly payments of $115.
What was the finance charge that she paid? Round your answer to the nearest cent.

Answers

Answer:

Tamicca made 12 monthly payments of $115, for a total payment of 12*$115 = $<<12*115=1380>>1380.

She bought a computer for $1200, so the finance charge that she paid is $1380-$1200 = $<<1380-1200=180>>180.

Therefore, the finance charge that Tamicca paid was $180, rounded to the nearest cent.

Step-by-step explanation:

A commuter wants to determine the average price of gas in the area. Which is the best method of collecting a population sample so that the commuter can answer this question? Responses: A. Check gas prices at several gas stations near the commuter’s house. B. Find the gas prices over the past several years at a single particular gas station in the area. C. Look up a number of randomly selected gas stations in the area to find out gas prices. D. Survey friends on social media to see how much people are paying for gas.

Answers

The best method of collecting a population sample so that the commuter can answer this question is C. Look up a number of randomly selected gas stations in the area to find out gas prices.

What is the population?

The entire group about which you want to draw conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the total population size.

A sample is characterized as a more manageable and compact version of a larger group. a smaller population that possesses the traits of a larger population. When the population size is too large to include all participants or observations in the test, a sample is used in statistical analysis.

This method would be the most representative of the entire population of gas stations in the area, and therefore the most likely to produce an accurate average price.

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If the two solids have the same volume and height, find the area of one of the cross sections. A. 18 cm B. 36 cm C. 48 cm? D. 72 cm

Answers

A. 18

Step-by-step explanation:

If the two solids have the same height and same cross-sectional area at every level, this means that the radius of the oblique cylinder is the same as the radius of the right cylinder.

Since the radius of the right cylinder is 16/2=8, this means that the radius of the oblique cylinder must also be 8.

Answer:

18

Step-by-step explanation:

Which expression can be used to model the statement “On Wednesday, Nathaniel earned $10 less than he earned on Tuesday”?
n + 10
10 minus n
n minus 10
10 less-than n

Answers

Answer:

n mimus 10

Explicacion paso a paso:

Please answer quickly!!

Answers

Answer:

1. (5, 3)

2. (3, -1)

3. (2, 1)

4. (4, 1)

Step-by-step explanation:

hope this helps :)

Answer: 1. (5,3) 2. (3, -1) 3. (2,1) 4. (4,1)

Step-by-step explanation:

1. Graph the system of equation in desmos.

2. Find the intersection point.

3. There's your answer.

can someone answer this
h: 79 = 23 + 8h

Answers

Answer:

79=23+8h

or,79-23=8h

or,56/8=h

or,7=h

therefore the value of h is 7.

Step-by-step explanation:

Hope it helps you!!

first you have to do the 23+ you have to make 23 into a subtraction problem in these expressions. 79-23= 56

Now you have to cancel out the 8in 8h and do the opposite of multiplication and do division on both sides 8h/8 cancels out and 56 divided by 8 = 7

your answer is 7 hope this helps

Is a square root of 10 closer to 9 or 16?

Answers

Answer:

the square root of 10 is 3.16227766017 which would be closer to 9

Step-by-step explanation:

how do i multiply this answer 0x12 i dont know if its 0 or 12?

Answers

Answer: 0

Anything multiply 0 will be 0

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]0 \times 12 \\ = 0[/tex]

[tex]{\boxed{\boxed{\tt { Note :}}}} \ [/tex]

0 times any number; the answer will always be 0.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

A boat travels in a straight line for 400 miles per hour for 3 hour, then makes a 35° turn and travels 350 miles per hour for 2
hours. How far is the boat form its starting point?

Answers

Answer:

i will try to help

Step-by-step explanation:

Problems 1-2, which symbol should be used to make the values true; > or <
1)
-12
2
2) -2
-7.

Answers

Answer:

1.) <

2.) >

Step-by-step explanation: 2 is greater than -12 and -2 is greater than -7.

4. BK has endpoints B(1, 4) and K(4, -3). Rotate BK clockwise 270 degrees about the

origin.

Part AWrite an algebraic description of the transformation of BK.

Part B: What are the endpoints of the new line segment?

Answers

The algebraic description of the transformation of B(x, y) = B'(y + 0, 0 - x)

The algebraic description of the transformation of K(x, y) = K'(y + 0, 0 - x)

The endpoints of the new line segment are B'(4, -1) and K'(-3, -4).

As per the given data BK has endpoints B(1, 4) and K(4, -3).

Rotate BK clockwise 270 degrees about the origin.

Every point of a source image is transformed in a plane via a rotation that rotates it around a fixed point at a specific angle and direction. The fixed point is referred to as the rotational center.

The term "angle of rotation" refers to the rotation's amount and is expressed in degrees.

Rotating a figure 270 degrees clockwise is the same as rotating a figure 90 degrees anticlockwise.

Now, it would be (x, y) = (-y, x)

We have;

R (x, y) to R' (y, -x)

The algebraic description is simply written as;

R (x, y) = R'(y + 0, 0 - x)

B (x, y) = B'(y + 0, 0 - x)

K (x, y) = K'(y + 0, 0 - x)

To get the new endpoints, we simply write the transformation as shown;

B(1, 4) becomes B'(4, -1)

K(4, -3) becomes K'(-3, -4)

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Cooper is a shoe sillesman, and he works on commission. This week, there is a special incentive to sell shoes and boots by a certain company. Yesterday, Cooper sold 2 pairs of shoes and 10 pairs of boots, earning $160 in commission. Today, he sold 4 pairs of shoes and 10 pairs of boots, earning a total commission of $170. How much does Cooper earn for the sale of each type of footwear?

Answers

The commission from selling each pair of shoe is $5 while that from selling each boot is $15

What is an equation?

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x represent the commission earned from selling each pair of shoe and y represent the commission from selling each pair of boot.

Cooper sold 2 pairs of shoes and 10 pairs of boots, earning $160 in commission. Hence:

2x + 10y = 160    (1)

Also, he sold 4 pairs of shoes and 10 pairs of boots, earning a total commission of $170, hence:

4x + 10y = 170    (2)

From both equations:

x = 5, y = 15

The commission from selling each pair of shoe is $5

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PLS HELP
using factorisation solve
E=(a+1)(a-1)-3(a+1)²​

Answers

Answer:

Step-by-step explanation:

factoring

e =

(a+1)(a-1-3(a+1))
= (a+1)(a-1-3a-3)

= (a+1)(-2a-4)

= -2(a+1)(a+2)

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