A company did a quality check on all the packs of trail mix it manufactured. Each pack of trail mix is targeted to weigh 9.25 oz. A pack must weigh within 0.23 oz of the target weight to be accepted. Find the absolute value inequality that describes the situation and solve it to find the range of rejected masses, x.

|x − 0.23| + 9.25 > 0; x < 9.02 or x > 9.48
|x − 9.25| > 0.23; x < 9.25 or x > 9.48
|x − 0.23| + 9.25 > 0; x < 9.25 or x > 9.48
|x − 9.25| > 0.23; x < 9.02 or x > 9.48

Answer:

The correct answer is 9.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Takala put 9 marbles in the box, jackie put in 7, and laird put in 11.

Before continuing, the most convenient is to add these three things:

9 + 7 + 11 = 27.

We now know that those 27 were divided equally to each other, that is 27: 3.

So we just have to divide:

27: 3 = 9

In this way we can verify that each person obtained 9.

The rate of change is the slope of a line.  The slope of the line can be calculated using the formula [tex]\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }[/tex].  To find the slope of a line using this formula, it is necessary to know two of the points on the line.

We are given : The mass of a grain of sand = [tex]10^{-3} grams.[/tex]

Bag contains = 10 kilograms of sand.

Let us concert 10 kg into grams first.

1 kg = 1000 grams.

10 kg = 10 × 1000 = 10000 grams = 10^4.

Therefore, bag contains 10^4 grams of sand.

Therefore, number of grains of sand are in the bag of sand of 10^4 grams =

The mass of a grain of sand in grams ÷ The mass of a grain of sand.

[tex]\frac{10^4}{10^{-3}}[/tex]

=[tex]10^{4-(-3)}[/tex]

=[tex]10^{4+3}[/tex]

[tex]=10^7  \ grains \ of \ sand.[/tex]

Therefore, [tex]10^7[/tex] grains of sand are in the bag of 10kg sand.

This is just like an f(x) problem, but the letters are different.  First though, the t in d(t) will substitute for the t in the problem  d(t)=300,000t.  This is what it will look like:

d(t)=300,000t

d(15)=300,000t

d(15)=300,000(15)

d(15)=4,500,000.

To explain it, this means that in 15 seconds light will travel 4,500,000 km.

39/50= 0.78 times 100= 78

78 is Donovan's score

if maci's score is 10 percentage points higher

78+10=88

x /50 =0.88 times 100= 88

x=44

each question is 2 points:  88-78= 10/2=5

Maci answered 5 questions correctly.

32.3 is a decimal number in which 3 is the digit at the tenth place.

Mixed number contains a whole number and a fraction part.

32.3 expressed as mixed fraction is [tex]32\frac{3}{10}[/tex] , here 32 is the whole number  and [tex]\frac{3}{10}[/tex] is the fraction part.

[tex]\frac{3}{10}[/tex] is the fraction in the simplest form.

For this reason, 32.3 expressed as a mixed number in the simplest form is [tex]32\frac{3}{10}[/tex].

Solution

f(n +1) = f(n) + 3

Here common difference (d) = 3. This is an arithmetic sequence.

First term f1 = -4

2nd term = f1 + 3

= -4 + 3

2nd term =  -1

The 2nd term =  -1

Answer:

$375.00

Step-by-step explanation:

Answer: $15000

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

[tex]S.I.=P\times r\times t[/tex], where P is the principal amount , r is the rate of interest and t is the time period.

Given: Interest amount = $3,375

Rate of interest = 4.5%=0.045

Time period = 5 years

Let P be the principal amount, then we have

[tex]3375=P\times 0.045\times 5\\\\\Rightarrow\ P=\dfrac{3375}{0.045\times 5}=15000[/tex]

Hence, the principal amount of the account was $15000.

Answer:

(c) 4.1 km

Explanation:

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

where:

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

To get the length of the hypotenuse, we will use the Pythagorean theorem

[tex]hypotenuse = +\sqrt{(side1)^2 + (side2)^2}[/tex]

Substitute with the givens:

[tex]hypotenuse = +\sqrt{(4)^2 + (1)^2}[/tex] = √17 ≈ 4.1 km

Hope this helps :)

{(–1, 1), (–2, 1), (–2, 2), (0, 2)}

In a function, each input has an output

Each domain has a range. In a function, range can be repeated but domain cannot be repeated. Same domain cannot have two range values.

Here domain is {-1, -2, -2, 0}

Range is { 1, 1, 2, 2}

Domain -2 is repeating so this relation is not a function

Answer : No; a domain value has two range values.

Final answer:

The average yearly rate of change in US college enrollment from 1990 to 2000 was 110,000 students per year.

Explanation:

To calculate the average rate of change in the number of students enrolled in US colleges per year from 1990 to 2000, we can use the following formula: Average rate of change = (Final value - Initial value) / Number of years. In this case, the initial value (1990 enrollment) is 13.8 million students, and the final value (2000 enrollment) is 14.9 million students. The number of years between 1990 and 2000 is 10 years. So, the calculation would be:

Average rate of change = (14.9 million - 13.8 million) ÷ 10 = 1.1 million ÷ 10 = 0.11 million students per year.

This means that, on average, the number of students enrolled in US colleges increased by 110,000 students per year over the 10-year period from 1990 to 2000.

Standard Form is ...

ax + by = c

where a ≥ 0, b > 0 (if a=0), and {a, b, c} are mutually prime integers (unless irrational numbers are involved).

You can get there from where you're starting in a couple of steps. Multiply by the least common denominator of any fractions. (Here, you multiply by 4.) Then put the variable terms on the opposite side from the constant term. Make sure the leading coefficient is positive.

... 4y -4 = x -12

... x -4y = 8 . . . . add 12-4y

So basically you just want to isolate the variable. So you want n on a side all by itself. so first you multiply by -2 to both sides, that will leave you with the equation n+4=18, then you subtract 4 from both sides, this will give you the equation n=14. To make sure this solution is correct, you can plug it back into the equation filling 14 in for n, this equation is 14+4/-2=-9, and this solution works. Hope this helped :)

[tex]x=4.\overline{05}\\\\x=4.050505...\qquad|\cdot100\\\\100x=405.050505...\\\\100x-x=405.050505...-4.050505...\\\\99x=401\qquad|:99\\\\x=\dfrac{401}{99}[/tex]

This answer explains the concepts of perpendicular lines, parallel lines, and skew lines in relation to a given line and plane.

1. Perpendicular lines are lines that intersect at a 90-degree angle. In the case of line QR, any line that intersects QR at a right angle would be perpendicular to it.

2. Parallel lines are lines that never intersect. So, any line that never intersects QR would be parallel to it.

3. Skew lines are lines that are not parallel and do not intersect. So, any line that does not intersect or run parallel to QR would be skew to it.

4. To have a line parallel to a plane LMQ, the line must never intersect the plane. Any such line would be parallel to plane LMQ.

https://brainly.com/question/1293700

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Answer: 93 dancers did not get on the show.

Step-by-step explanation: Okay to figure this out you change 62% into a decimal which is 0.62. You then multiply 150 by 0.62 and you get your answer which is 93 dancers. I hope this helped! (:

The answer you are looking for is -3.

To find this answer, you must get "n" by itself. First subtract 5 from both sides. You would get (-8)n = 24, which you then divide -8 on both sides, to get a final answer of n = -3.

I hope this helps!

To graph the equation, use the given slope and point to plot two points and draw a line through them.

To graph the equation y - 2 = -3/4 (x - 6) using the given point and slope, we can follow these steps:

near the north or south pole

You're likely near the north pole if you're receiving less direct sunlight due to the tilt of Earth's axis, which causes varying amounts of sunlight in different regions, leading to seasons.

If you are in an area that is receiving less direct sunlight, you are likely located near the north pole (or the south pole). Earth's axis is tilted at 23.5 degrees, and as it revolves around the Sun, the tilt causes different parts of Earth to receive varying amounts of sunlight at different times of the year, leading to our seasons. When the Northern Hemisphere is tilted away from the Sun, it is winter there, and areas closer to the north pole receive very little direct sunlight, while the Southern Hemisphere experiences summer and receives more direct sunlight. Conversely, when the Southern Hemisphere is tilted away, it is winter there, with areas near the south pole getting less sunlight.

Answer: Hence, 25000 patients are fully satisfied with their treatment plan .

Step-by-step explanation:

In a sample of 600 patients , there are 500 patients who were fully satisfied with their treatment plan.

So fraction is given by

[tex]\frac{500}{600}=\frac{5}{6}[/tex]

Now, if we have 30,000 patients ,

then ,the number of patients who were fully satisfied is given by

[tex]\frac{5}{6}\times 30000\\\\=\frac{150000}{6}\\\\=25000[/tex]

Hence, 25000 patients are fully satisfied with their treatment plan .

f(x + 3) = 2x² + 9x + 13

substitute x = x + 3 into f(x)

f(x + 3) = 2(x + 3)² - 3(x + 3) + 4 = 2(x² + 6x + 9) - 3x - 9 + 4

f(x + 3 ) = 2x² + 12x + 18 - 3x - 9 + 4 = 2x² + 9x + 13

The answer for a would be -2 and for b it would be -3. If you added both -2 and -3 together, you would get a sum of -5, and when for the other equation, the negative in front of b will cancel out the negative in front of -3, making it 3, and when you subtract -2 and 3, you'll end up with a difference of 1. a= -2  b= -3

4x = 5x - 12

First you want to subtract 5x from both sides:

5x will cancel out

4x - 5 = -1

Next you want to divide -1 on both sides:

-1 will cancel out

-12/-1 = 12

Since there are two negatives it turns into a positive.

So your answer is x = 12.

Hope this Helps!!

4x = 5x - 12

12 = 5x - 4x

12 = x

32.83 because using a calculator, you punch in numbers 4.9 and 6.7 together. Then, you press the equal sign to get 32.83

Option: D is the correct answer.

               D)       [tex]y=\dfrac{1}{2}x+2[/tex]

A line is said to be steepest if the modulus of the slope is greatest and it is least steep if the modulus of the slope i.e. |m| is least.

We know that the slope intercept form of a line is given by:

[tex]y=mx+c[/tex]

where m is the slope of the line and c is the y-intercept of the line.

A)

[tex]y=4x-3[/tex]

The slope of line is: 4

i.e. m=4

and |m|=4

B)

[tex]y=\dfrac{-3}{4}x+5[/tex]

the modulus of slope is:

[tex]|m|=\dfrac{3}{4}=0.75[/tex]

C)

[tex]y=-10x-8[/tex]

The modulus of slope of line is:

[tex]|m|=10[/tex]

D)

[tex]y=\dfrac{1}{2}x+2[/tex]

The slope of the line is:

[tex]|m|=\dfrac{1}{2}=0.5[/tex]

The modulus of slope of line in options D is smallest.

Hence, the line in option: D is least steep.

The answer would be 9/5

Root 81 =9

Root 25 =5

The difference between 12 Celsius and -10 Celsius is 22 degrees.

There are 20 different, whole number, specific degrees between 12 and -10 Celsius.