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sashaice [31]
3 years ago
7

A ball has a circumference of 9.42 what is the diameter​

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0
The diameter is 4,71
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if you go out to eat with 3 friends and your meal was $72.50, there is 6.75% sales tax. how much should each person pay
pickupchik [31]

Answer:

$25.80

Step-by-step explanation:

First find the price of the meal with sales tax. Multiply 6.75% by $72.50.

72.50 * 0.0675 = 4.89

Add this value onto 72.50.

72.50 + 4.89 = 77.39

Divide this amount by 3.

77.39 / 3 = 25.7966...

Round this to the nearest hundredth because we're dealing with money.

$25.80 is how much each person should pay.

5 0
3 years ago
Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p
Damm [24]

Complete question is;

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total profits will be p(x) = -x³ + 4x² + x dollars, in thousands will be earned. How many t-shirts (rounded to the nearest whole number) should he print in order to make maximum profits? What will his profits rounded to the nearest whole dollar be if he prints that number of shirts?

Answer:

Number of t-shirts to make maximum profit = 2790 shirts

Maximum profit = $12,209

Step-by-step explanation:

From the question, we are given that the profit function is;

p(x) = -x³ + 4x² + x

For the maximum value of the profit function,

(dp/dx) = 0 and (d²p/dx²) < 0

Since, p(x) = -x³ + 4x² + x

Then,

(dp/dx) = -3x² + 8x + 1

at maximum point (dp/dx) = 0, thus;

-3x² + 8x + 1 = 0

Solving this using quadratic formula, the roots are;

x = -0.12 or 2.79

Also, (d²p/dx²) = -6x + 8

Now, let's put the roots of x into -6x + 8 and check for maximum value conditon;

at x = -0.12

(d²p/dx²) = -6(0.12) + 8 = 7.28 > 0

At x = 2.79

(d²p/dx²) = -6(2.79) + 8 = -8.74 < 0

Maximum has to be d²p/dx² < 0

So, the one that meets the condition is -8.74 < 0 at x = 2.79

Thus, the maximum of the profit function exists when the number of shirts, x = 2.79 (in thousands) = 2790

Now, the maximum profits that corresponds to this number of t-shirts of 2.79(in thousands) is obtained by putting 2.79 for x in the profit function;

So,

p(2.79) = -(2.79)³ + 4(2.79²) + 2.79

p(x) = -21.7176 + 31.1364 + 2.79

p(x) = 12.2088 (in thousand dollars) ≈ $12,209

6 0
2 years ago
What is the exact value of x in the exponential equation 4 + e3x = 24?
larisa86 [58]

Answer:

hello : x = (ln(20))/3

Step-by-step explanation:

4 + e3x = 24?

e3x = 24 - 4

e3x = 20

3x = ln(20)

x = (ln(20))/3

7 0
3 years ago
Which of the following is not a correct name for the line shown?
Talja [164]

Answer:

D

Step-by-step explanation:

The line can be named with small latin letters or with two large latin letters which represent two points lying on the line.

Consider all options:

A. Points V and X lie on the line, so you can name the line as VX (true option)

B. Points W and X lie on the line, so you can name the line as WX (true option)

C. p represents the line (small letter given on the diagram) - (true option)

D. You cannot name the line using point V and line p, so this option is false

3 0
3 years ago
Read 2 more answers
Work out the height of a parallelogram with a base of 10m and an area of 60m2
noname [10]
Area formula of a parallelogram is
        A = base x height

Given are the
Area = 60 m² and base = 10 m

 Substitute the given:

60 = 10h  (divide by 10 to find value of h)
\frac{60}{10} = \frac{10h}{10}  (10 and 10 cancels out)

h = 6
The height of a parallelogram with a base of 10m and an area of 60m² is 6m

3 0
3 years ago
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