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Zina [86]
3 years ago
8

At the Tesla factory, a machine tests 1 out of every 75 windshields produced for quality. The machine requires a safety inspecti

on after testing 450 windshields. Tesla produces 303,750 windshields each year. How many safety inspections dos the machine require in a year?
Mathematics
1 answer:
Sloan [31]3 years ago
6 0

Answer:

pretty sure it's 675

Step-by-step explanation:

could be wrong but if there are 303,750 windsheilds per year and the machine needs an inspection after every 450 you just divide them.

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9x^3-16x factor using the GCF as the first term
kirill115 [55]
X is the gcf so:

this is the maximum you can factor that too:

\sf{x(9x^2-16)}
4 0
3 years ago
The daily profit P ​(in thousands of​ dollars) from the sale of televisions is a function of the number x of televisions sold ​(
scZoUnD [109]

Answer:

The break-even sales amounts​ is 36 or 224.

Step-by-step explanation:

Consider the provided function.

P= -5x^2 + 13x - 4

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts​.

the​ break-even sales amounts​ is the sales amounts that result in no profit or​ loss.

That means substitute P=0 and solve for x.

-5x^2 + 13x - 4=0

5x^2-13x+4=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=4, b=-13 and c=4 in above formula.

x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}

x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}

x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}

x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357

Therefore, the break-even sales amounts​ is 36 or 224.

7 0
3 years ago
What is the answer can you help me plz
erastova [34]

Answer:

\frac{1}{5^{7}}

Step-by-step explanation:

\frac{5^{-4}}{5^{3}} = \frac{1}{5^{7}}

6 0
3 years ago
6. Craig and James both live 4 miles up a hill. Craig hikes uphill at a rate of 1 mile every two hours.
Iteru [2.4K]

Answer:

James

Step-by-step explanation:

James rate:

2x + 2 = 4

2x = 2

x = 1 hour

Rate = distance/time = 4/1 = 4 miles per hour

Craig's rate = 1/2 = 0.5 miles per hour

James is faster

6 0
2 years ago
If a swimmer swims 85.4 yards in 5 minutes, how many meters will he/ she swim in 70 seconds
DaniilM [7]

Distance swam in 5 minutes = 85.4 yards

Since, 1 min = 60 seconds and 1 yard = 0.91 meter

5 minutes = 5 \times 60 = 300 seconds

85.4 yards = 85.4 \times 0.91 = 77.7 meters

So, Distance swam in 300 seconds = 77.7 meters

Now, we will use unitary method to determine the distance swam in 70 seconds.

Distance swam in 1 second = 77.7 \div 300 = 0.26 meter

So, Distance swam in 70 seconds = 70 \times 0.26

= 18.2 meters

Therefore, the swimmer took 70 seconds to cover the distance of 18.2 meters.

6 0
2 years ago
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