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ANEK [815]
3 years ago
10

Emma needs to find the surface area of a triangular pyramid where the base and all three faces are congruent equilateral triangl

es.
What is the total surface area?

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Answer:

73.19

Step-by-step explanation:

4 * (1/2)* (6.5) * (5.63)

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The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the golf balls it manufactures. G
Mashutka [201]

Discrepancy is the difference of a the value from the uniform distribution. The function for the given situation can be given as,

f(x)=|x|-42.67

Hence the option 2 is the correct option.

Given information-

The standard diameter of the golf ball is 42.67 mm.

The discrepancy in the diameter is 0.004 mm.

<h3>What is discrepancy?</h3>

Discrepancy is the difference of a the value from the uniform distribution.

Suppose the discrepancy is x mm.

If the discrepancy in diameter is more than 0. 004 mm, the production is stopped.

As the discrepancy of 0.004 mm or more is stopped the production, we have to subtract the diameter to the discrepancy .

Thus the function for the situation can be given as,

f(x)=-42.67+|x|

Rearrange for the x,

f(x)=|x|-42.67

Thus the function for the given situation can be given as,f(x)=|x|-42.67

Hence the option 2 is the correct option.

Learn more about the discrepancy here;

brainly.com/question/6445203

5 0
3 years ago
Kerry wants to give each student in her class 1/2
qwelly [4]

Answer:

60

Step-by-step explanation:

6 0
3 years ago
1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
gavmur [86]

Answer:

A(x) = 12000(1.04)^x

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that P = 12000

Compounded at 4% interest annually.

This means that r = 0.04, n = 1

What equation will calculate the value in x years?

A(t) = P(1 + \frac{r}{n})^{nt}

A(x) = P(1 + \frac{r}{n})^{nx}

A(x) = 12000(1 + 0.04)^x

A(x) = 12000(1.04)^x

8 0
3 years ago
Please help me solve this
Pie
Its 70% because 7/10 is .7
3 0
3 years ago
A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. A
hjlf

Answer: There were 1,250 bacteria present initially.

Step-by-step explanation:

To find the exponential growth to this, lets create an exponential model shown as below:

f(x) = a(b^{y})

 Let y represent the amount of hours have passed after the third-hour recording. With the information given, we can create a set of input-output pairs: (0 , 10000) and (2 , 40000). Now that we have this set of pairs, we have given ourselves the initial value of the function, a = 10,000. We can now substitute the second point into the equation using N = 40,000.

N(y) = 10000b^y

40000 = 10000b^2    Divide and write in lowest terms.

÷10000   ÷10000

4 = b^2

b = (4)^{\frac{1}{2} } Isolate b using properties of exponents.

b = 2

Now that we have the exponential growth, we can use b = 2 to work backwards and find the initial amount of bacteria.

10,000 ÷ 2 = 5,000 <-- Amount of bacteria 2nd hour

5,000 ÷ 2 = 2,500 <-- Amount of bacteria 1st hour

2,500 ÷ 2 = 1,250 <-- Initial amount of bacteria.

The initial amount of bacteria is 1,250

7 0
4 years ago
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