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alexira [117]
2 years ago
9

A local artisan makes handmade ceramic vases and bowls. Each vase takes 3 hours to make and each bowl takes 2 hours to make. He

is limited to at most 30 hours of work time a week and would like to produce at least 12 items weekly.
Write a system of inequalities that represents the situation.
Group of answer choices

3v + 2b ≤ 30
3v + 2b ≥ 12

3v + 2b ≥30
v + b ≤ 12

2v + 3b ≤ 30
v + b ≥12

3v + 2b ≤ 30
v + b ≥ 12
Mathematics
1 answer:
Sever21 [200]2 years ago
5 0
3 = v
2 = b

3h+2h is less than or equal 30
v+b is greater than or equal to 12

so it is the last set of inequalities
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The half-life of chromium-51 is 28 days. If the sample contained 5.10 grams, how much chromium was present 168 days ago?
stepan [7]
I don’t understand how many grams had the first one,so I can’t help you
3 0
2 years ago
On what date did Thomas jefferson submit the Declaration of Independence to peers for editing?
PSYCHO15rus [73]

Answer:

C. June 28, 1776

Step-by-step explanation:

Submitting the Declaration of Independence to the Continental Congress, June 28, 1776. This image is considered one of the most realistic renditions of this historical event.

7 0
3 years ago
Read 2 more answers
(a) A lamp has two bulbs, each of a type with average lifetime 1400 hours. Assuming that we can model the probability of failure
Temka [501]

Answer:

For first lamp ; The resultant probability is 0.703

For both lamps; The resultant probability is 0.3614

Step-by-step explanation:

Let X be the lifetime hours of two bulbs

X∼exp(1/1400)

f(x)=1/1400e−1/1400x

P(X<x)=1−e−1/1400x

X∼exp⁡(1/1400)

f(x)=1/1400 e−1/1400x

P(X<x)=1−e−1/1400x

The probability that both of the lamp bulbs fail within 1700 hours is calculated below,

P(X≤1700)=1−e−1/1400×1700

=1−e−1.21=0.703

The resultant probability is 0.703

Let Y be a lifetime of another lamp two bulbs

Then the Z = X + Y will follow gamma distribution that is,

X+Y=Z∼gamma(2,1/1400)

2λZ∼

X+Y=Z∼gamma(2,1/1400)

2λZ∼χ2α2

The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,

P(Z≤1700)=P(1/700Z≤1.67)=

P(χ24≤1.67)=0.3614

The resultant probability is 0.3614

8 0
2 years ago
The table represents quadratic function g. Which statement is true about the function?
weqwewe [10]

Answer:

B.   The maximum occurs at the function's x-intercept.

Step-by-step explanation:

Given table:

\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}

From inspection of the table, we can see that:

  • g(-5) = -1  and
  • g(-3) = -1

This indicates <u>symmetry</u>.  

The line of symmetry is the mid-point between the two x-values.

Therefore, the <u>line of symmetry</u> is x = -4

The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0).  As the function decreases as x → 0, the vertex is a <u>maximum</u>.

As the y-value of the vertex is 0, the maximum occurs at the function's <u>x-intercept</u>.

3 0
2 years ago
Read 2 more answers
*EXTRA POINTS* please answer #5 and #6
Annette [7]

Answer:

5, (0, -2)

6, (4, 9)

Step-by-step explanation:

5 0
3 years ago
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