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3 years ago

Solve the equation above for X.

Mathematics

1 answer:

SpyIntel [72]3 years ago

7 0

Answer:

444

Step-by-step explanation:

add 41 to both sides and then divide 1/2 on each side

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We notice that the upper trapezoid is symmetric to the lower one & the line of symmetry should be a horizontal line (mirror line) where any point of the upper vertices should be at equal distance (perpendicular) with the related vertices of the lower one from this horizontal line:
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3 years ago

Polly’s Pasta and Pizza Supply sells wholesale goods to local restaurants. They keep track of revenue earned from selling kitche

dimaraw [331]

Complete question :

Polly’s Pasta and Pizza Supply sells wholesale goods to local restaurants. They keep track of revenue earned from selling kitchen supplies and food products. The function K models revenue from kitchen supplies and the function F models revenue from food product sales for one year in dollars, where t represents the number of the month (1 – 12) on the last day of the month.

K(t)=15t^3–312t^2+1600t+1100

F(t)=36t3–720t2+3800t–1600

In which month was her revenue from food products the greatest? The least?

Answer:

greatest revenue = 4384

Leat revenue = 400 ; October

Step-by-step explanation:

Using the model :

Claculating the revenue from. Food sales from January through December :

F(t)=36t^3–720t^2+3800t–1600

Put t = 1, 2, 3,.. 12 for January through December

t = 1

F(1)=36(1^3) - 720(1^2) + 3800(1) - 1600 = 1516

t = 2

F(2) = 36(2^3) - 720(2^2) + 3800(2) - 1600 = 3408

Inputting the t values up to 12 to cover for January thkorugh December :

We have the data:

t1 = 1516

t2 = 3408

t3 = 4292

t4 = 4384

t5 = 3900

t6 = 3056

t7 = 2068

t8 = 1152

t9 = 514

t10 = 400

t11 = 996

t12 = 2528

Hence, greatest revenue = 4384 (month of April)

Least revenue is at t10(October) ; Lowest revenue is at t 10 = 400

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2 years ago

There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the ni

Stels [109]

Answer:

There are 1716 ways the three positions can be filled by these applicants.

Step-by-step explanation:

Permutation is the number of arrangement of k items from n distinct items.

$^{n}P_{k}=\frac{n!}{(n-k)!}$

For example, permutation can be used to compute the number of ways to arrange 4 mathematics books together when arranging all the 7 books on a shelf.

In this case there are 3 available nursing positions to be filled.

A total of 13 candidates are qualified for all the three positions.

Then the number of ways the 3 positions can be filled by the 13 candidates can be determine using permutation.

Compute the possible number of selections as follows:

$^{13}P_{3}=\frac{13!}{(13-3)!}=\frac{13!}{10!}=\frac{13\times 12\times 11\times 10!}{10!}=1716$

Thus, there are 1716 ways the three positions can be filled by these applicants.

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2 years ago

What is 1 over 2 x 6 what is 1 over 2 x 7 and what is 3 over 4 x 12 and what is 2 over 5 x 30

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12

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