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Fantom [35]
3 years ago
5

To determine the density of grains, a student uses a 50ml beaker graded by 5ml increments and a scale with 1g absolute uncertain

ty. The measurement of the volume results in 3 full beakers and 1 beaker filled up to 30ml. Measured mass of a plastic container with all the grains is 185 grams; measured mass of the same container without grains is 65 grams. What is the mass of the grains
Mathematics
1 answer:
labwork [276]3 years ago
8 0

Answer:

The mass of the grains = 120 ± 1 g

Step-by-step explanation:

we are given the following:

Total mass of container + grains = 185 grams

Mass of container = 65 grams

Therefore, mass of grains is calculated as follows:

Mass of grains = ( Mass of container + grains) - mass of container

= 185 - 65 = 120 grams.

since the scale has an absolute uncertainty of 1 g, the mass of the grains is written as 120 ± 1 g

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Solve the inequality. Graph the solution set, and write it using interval notation. |5x+4|less than or equal to 10
aniked [119]

we have the inequality

\lvert5x+4\rvert\leq10

step 1

Find out the first solution (positive case)

\begin{gathered} +(5x+4)\leq10 \\ 5x\leq10-4 \\ 5x\leq6 \\ x\leq\frac{6}{5} \\ x\leq1.20 \end{gathered}

The first solution is all real numbers less than or equal to 1.20

Interval (-infinite,1.20]

step 2

Find out the second solution (negative case)

-(5x+4)\leq10

Multiply by -1 both sides

\begin{gathered} (5x+4)\ge-10 \\ 5x\ge-10-4 \\ 5x\ge-14 \\ x\ge-\frac{14}{5} \\ x\ge-2.8 \end{gathered}

The second solution is all real numbers greater than or equal to -2.8

the interval [-2.8, infinite)

step 3

Find out the solution to the given inequality

The solution is

[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]

the solution is the interval [-2.8,1.20]

see the attached figure to better understand the problem

8 0
1 year ago
A Air Freshener Used 3 3/4 milliliters perfume wanted to make 3 air freshners how many milliliters of perfume woud she use
larisa [96]
1 and a fourth because 3 3/4 devided by three equals 1 1/4
5 0
3 years ago
The function f(x)=3 (x+6)^2+8 is shifted 4 units up and 3 units right to form another function g(x). What is g(x)?
iVinArrow [24]

Answer:

g(x) = 3\cdot (x+3)^{2}+12

Step-by-step explanation:

There are two operations involved:

Vertical translation:

f'(x) = f(x) \pm c,\,c\in \mathbb{R} (1)

Note: Positive sign represent a translation upwards.

Horizontal translation:

f'(x) = f(x\pm c), x\in \mathbb{R} (2)

Note: Positive sign represent a translation leftwards.

Then, the new function must be:

g(x) = f(x-3)+4

g(x) = 3\cdot (x+3)^{2}+12

3 0
3 years ago
The defense of a professional football team scored about 24% of the 242 points the team scored all season. If a touchdown is wor
QveST [7]

Answer:

the answer is 9.69 or if no decimals 10

Step-by-step explanation:

24% of 242 is 58.08 you then divide that number with 6/ the amount of points they get every touchdown. you divide those numbers and you get 9.69.

and that's the amount of points they got but if there aren't any decimals in this question then it would be closer to 100 than it would be 0 so the answer is 10 points

i hope this helped. :)

7 0
2 years ago
Read 2 more answers
Find the indicated side of the<br> right triangle.<br> 45°<br> y<br> 6<br> 45°
Pavlova-9 [17]

Answer:

6

Step-by-step explanation:

tan 45 = 6 / x

1 = 6 / x

x = 6

Note :

Tan 45 value = 1

7 0
3 years ago
Read 2 more answers
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