whats the median number mode and mean for 95, 97, 100, 86, 78, 96

The quality control engineer will test the parts every 3 minutes.

To determine how often the quality control engineer tests the parts, we need to find the least common multiple (LCM) of the time it takes for the first machine to make a part and the time it takes for the second machine to make a part.
The first machine makes a part every 12 seconds, while the second machine makes a part every 45 seconds.
To find the LCM, we can list the multiples of each number and look for the smallest number that appears in both lists:
Multiples of 12: 12, 24, 36, 48, 60, 72, ...
Multiples of 45: 45, 90, 135, 180, 225, 270, ...
From the lists above, we can see that the smallest number that appears in both lists is 180.
Therefore, the quality control engineer will test the parts every 180 seconds.
To express the answer in minutes, we can convert 180 seconds to minutes:
180 seconds ÷ 60 = 3 minutes

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Answer: acute 90-

Step-by-step explanation:

Answer: 21.9

Step-by-step explanation:

tan-1(4 / 10)

I hope im right

Answer:

6

Step-by-step explanation:

The average rate of change is the same as the slope. Since the slope is the same no matter what interval you choose, the answer is 6.

Answer:

6

Step-by-step explanation:

The average rate of change is the same as the slope. Since the slope is the same no matter what interval you choose, the answer is 6.

Answer:

4. 61

5. approximately 43

6. 120

Step-by-step explanation:

4. 80 + 39 = 119

   180 - 119 = 61

5. 7x - 10 = 90

        +10   +10

        7x = 100

divide by 7

x = 14.3

3 times 14.3 = 42.9

6. 70 + 50 = 120

   180 - 120 = 60

   180 - 60 = 120

Answer:

b,c,e,d,a,f

Step-by-step explanation:

As the given condition in the question for the number of  right angles to be the minimum, the correct answer would be 'zero'.

A right angles are the type of angles whose measure is equal to 90 degrees. Every 90 degree angle is simply named as right angle since they have some significant role in geometry.

Some of the types of angles in mathematics are:

The minimum number of right angles there can be in a shape actually depends on a shape, considering all the shapes to define the minimum, there can be a condition where there are no right angles. For example, in a straight line.(180 degrees)

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The value of q according to the given triangle measures is 3 cm.

What is Sine Rule for Traingles?

For any general triangle ABC with 3 angles A, B, and C and 3 sides a, b, and c corresponding to their opposite angle, the formula of sine is always fulfilled :

               \(\frac{a}{sin A} = \frac{b}{sin B} =\frac{c}{sin C}\)

Here, we are given that :

s i.e. Side QR = 3.1 cm

Angle Q = 62 degree

Angle R = 114 degree

Firstly we need to find the third angle S using the sum of triangle angles property :

                   \(AngleQ + AngleR + AngleS = 180\\\)

                   \(Angle S = 180 - 114 - 62\)

                                \(= 180 - 176\)

                                \(= 4\)

Now, we apply the sine formula for angles Q and S :

                    \(\frac{q}{sinQ} = \frac{s}{sinS}\)

                      \(q = (sinQ) * s / (sinS)\)

                          \(= ( 3.1 * sin(62)) / sin(4)\)

                          \(= ( 3.1 * (-0.739)) / (-0.756)\)

                           \(= 3.03\)

Hence, the length of side RS i.e. q to its nearest 10th is 3 cm.

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Simplification the expression in scientific notation 3.6 x 10^(-5)

What is Simplification ?

To implify is to make something simple. In mathematics, simply or simplification means reducing the expression/fraction/problem in a simpler version. Calculations and problem-solving techniques simplify the issue.

We have to multiply the expression

(9x10^-3) (4x10^-3)

We can rewrite this multiplication as

(9 x 4) x (10^-3 x 10^-3)

Now, use the exponent rule,

a^n x a^m = a^(n+m)

(9 x 4) x (10^(-3-3))

(9 x 4) x (10^(-6))

36 x 10^(-6)

Finally, write in scientific notation

3.6 x 10^(-5)

Hence, the scientific notation of the expression is 3.6 x 10^(-5)

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Answer:

log₃(-2x - 3) = 2

Step-by-step explanation:

logₓ(36) = 2:

To solve this equation, we need to find the value of x for which logₓ(36) equals 2. Rewriting this equation in exponential form, we have x² = 36. Taking the square root of both sides gives us x = 6.

log₃(2x - 9) = 3:

3^(log₃(2x - 9)) = 3³

By applying the property of logarithms that states logₓ(x^a) = a, we can simplify the equation further:

2x - 9 = 27

Now, let's solve for x:

2x = 27 + 9

2x = 36

x = 36/2

x = 18

log₃(216) = x:

log₃(6³) = x

3log₃(6) = x

3 + 3log₃(2) = x

log₃(-2x - 3) = 2:

- 2x - 3 = 3²

- 2x - 3 = 9

- 2x + 3 = 9 + 3

- 2x = 9 + 3

- 2x = 12

- 2x / -2 = 12/-2

x = -6

In summary, the equation that has x = -6 as the solution is the last equation: log₃(-2x - 3) = 2

Answer:

x=12

Step-by-step explanation:

the (8x-17)° and (5x+19)° angles are corresponding angles

since lines are parallel and cut by a transversal, this means that these angles are congruent

to find x:

8x-17=5x+19

3x-17=19

3x=36

x=12

Answer:

10/15 - 3/15= 7/15

Step-by-step explanation:

none

Answer:

\(2^{x}\) + 8x - 5

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= \(2^{x}\) + 5x + 3x - 5 ← collect like terms

= \(2^{x}\) + 8x - 5

Answer: 2^x+8x-5 i did the work on paper, You're welcome!

Utilizing the Sieve of Eratosthenes method is simple. In order to encircle the remaining numbers, we must cancel all multiples of each prime number starting with 2 (including the number 1, which is neither a prime nor a composite).

The Sieve of Eratosthenes can be used to locate all prime numbers that are less than 100, as seen in the example below. In ten rows, start by writing the numbers 1 through 100.

Therefore, based on the preceding table, we can conclude that the prime numbers 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97 are. There are ten prime numbers between 50 and 100 in all. The required prime numbers are those that are surrounded.

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Answer:

a square, I think that's the answer you're looking for

Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

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Answer:

7

Step-by-step explanation:

4y²-106=90

4y²=90+106

4y²=196

4y²/4=196/4

y²=49

y=√49

y=7

Answer:

20

Step-by-step-explanation

There appears to be 2 lines intersecting eachother, and 150 degrees is on the opposite side to that of the expression. The expression 7x+10 equals a degree, since it is directly opposite to that of the 150 degrees we can use the vertical angles theorem. Although there are no congruent markings for the angles, it is safe to assume that they are congruent to each other with the information given. Vertical angles are angles opposite to each other by 2 intersecting lines. We can write the equation 7x+10=150 for finding x. Now, we solve for x. Inverse operations can be used to subtract 10 by both sides. 150-10=140, 7x=140, to move the x to the other side so that x is alone, we divide by 7 with the inverse operations. Leaving the x alone gives us to what x is, 140/7=20! x=20 Good luck and have a great time

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

The second student correctly expanded the binomial (2-3x)² as 4 + 9x², while the first student made an error in their expansion.

To find the square of the binomial (2-3x), we can apply the formula (a-b)² = a² - 2ab + b², where a = 2 and b = 3x. Using this formula, we have:

(2-3x)²  = 2²  - 2(2)(3x) + (3x)²

          = 4 - 12x + 9x² .

Therefore, the first student made a mistake while expanding the binomial. The second student correctly expanded the binomial by squaring each term, resulting in 4 + 9x² .

Hence, the correct answer is 4 + 9x² .

Thus, the second student correctly expanded the binomial (2-3x)²  as 4 + 9x² , while the first student made an error in their expansion.

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\( \bf \implies{\angle{JND} = 57 \degree}\)

\( \bf \longrightarrow{\angle{BNL} = 33 \degree}\)

\( \bf \longrightarrow{\angle{JND} = \: ?}\)

\( \bf \longrightarrow \: \: \: \angle{BNL} = \angle{DNS} \: \\ \: \: \: \bf [Verically \: Opposite \: Angle]\)

\( \bf \therefore\angle{DNS } = 33 \degree\)

\( \bf \longrightarrow \angle{JND} + \angle{ DNS} = 90 \degree \\ \bf \: \: \: \: \: \: \: \: \: [form \: a \: right \: angle]\)

\( \bf \longrightarrow \angle{JND} +33 \degree= 90 \degree\)

\( \bf \longrightarrow \angle{JND}= 90 \degree - 33 \degree\)

\( \bf \longrightarrow \angle{JND}= 57 \degree \)

The vertex of the parabola y = f(x + 1) is (1, -1).

To find the vertex of the parabola given by the equation y = f(x + 1), we need to determine the effect of the transformation on the vertex coordinates.

The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) represents the vertex coordinates.

In the given equation, y = f(x + 1), we can see that the transformation is a horizontal shift of 1 unit to the left. This means that the new vertex will be located 1 unit to the left of the original vertex.

Given that the original vertex is (2, -1), shifting 1 unit to the left would result in a new x-coordinate of 2 - 1 = 1. The y-coordinate remains the same.

Therefore, the vertex of the parabola y = f(x + 1) is (1, -1).

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Answer:

y=-3/2x+4

Step-by-step explanation:

line is negative, going 3 over 2. y intercept is 4.

Answer:

\(x = -\dfrac{48}5\)

Step by step explanation:

\(~~~~~~~\dfrac{x^2+12x+36}{2x^2}-\dfrac{x^2 +7x +12}{2x^2}= \dfrac 5{4x}\\\\\\\implies \dfrac{x^2 +12x +36 -x^2 -7x -12}{2x^2 } = \dfrac 5{4x}\\\\\\\implies \dfrac{5x+24}{2x^2} = \dfrac 5{4x}\\\\\\\implies 4x(5x+24) = 5(2x^2)\\\\\\\implies 20x^2+96x= 10x^2\\\\\\\implies 20x^2 -10x^2 +96x=0\\\\\\\implies 10x^2 +96x= 0\\\\\\\implies 5x^2 +48x = 0\\\\\\\implies x(5x+48)=0\\\\\\\implies x = -\dfrac{48}5~~~~~;[x\neq 0]\)

Answer:

I assume that this is a math question not a chemistry question...

In math I assume the answer is 1 liter....

total = 2 liters (1 liter water 1 liter ammonia )

If this is a chemistry question there is a difference between total

volume, and total weight, which would not result in the answer being 1 liter

Step-by-step explanation:

Answer:

19/18

Step-by-step explanation:

ii put it inna calculator

Answer:

12e + 3r + 3

Step-by-step explanation:

a = 12 (cos(π/3) + i sin(π/3))

b = 3 (cos(π/4) + i sin(π/4))

a • b = 36 (cos(π/3) cos(π/4) + i cos(π/3) sin(π/4) + i cos(π/4) sin(π/3) + i ² sin(π/3) sin(π/4))

… = 36 (cos(π/3 + π/4) + i sin(π/3 + π/4))

… = 36 (cos(7π/12) + i sin(7π/12))

… ≈ -9.32 + i 34.8