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Sholpan [36]
4 years ago
5

Which is equivalent to 49 3/2

Mathematics
1 answer:
Korolek [52]4 years ago
5 0
49^{\frac{3}{2}}=(7^2)^{\frac{3}{2}}=7^3=343
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Find thw exact intrest for $600 at 8% for 45 days. round to nearest cent
natita [175]
Since it's 8% every year, we have 8% of 600 equals 8*6=48. 48/365 is the amount of interest per day, and 48*45/365 is what you would get over 45 days, which is approximately 5.9 dollars


Note that this is assuming interest is compounded every year
4 0
3 years ago
Let f be a functions of degree 4 whose coefficients are real numbers: two of its zeros are - 3 and 4 - i. Explain why one of the
kvasek [131]

Answer:

Step-by-step explanation:

We have the following theorem, if f is a polynomial with real coefficients, we can factor it completely in factors of the degree at most 2.

Consider first a polynomial of degree two, hence it is a polynomial of the form ax^2+bx+c. The cuadratic formula tells us that the solutions are of the form

x = \frac{-b\pm \sqrt[]{b^2-4ac}}{2a}.

Note that square root, over the reals, tells us that the are only real solutions if b^2-4ac \geq 0. If that is not the case, say it's negative, the solution are complex. Then, the solutions are of the form

x = \frac{-b \pm i \sqrt[]{4ac-b^2}}{2a}. NOte that this means that if we have a complex number of the form a+bi that is a solution, then the number a-bi (who is called the complex conjugate) is also a solution.

Recall that when we have a polynomial f(x) whose a zero is the number c, then we can factor f as follows f(x) = (x-c) * p(x) where p(x) is another polynomial of lesser degree .

So far, we know that -3 and 4-i are zeros of the function f. Note that we are missing two zeros. But, since complex numbers are zeros of polynomial only by pairs (that is the number and its conjugate are zeros), then, we must have that one of the missing 2 zeros is a real number. We have 4-i as a zero, then, its complex conjugate must be also a zero, i.e 4+i is a zero.

8 0
4 years ago
It costs Beverly $0.50 to produce each bracelet she makes. She sells each bracelet for $20, plus three times the production cost
MrRissso [65]

Answer:

(0.5b+20b)*3b=c

Step-by-step explanation:

8 0
3 years ago
Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the
Anastaziya [24]
Its 17.5 gallons because 2 quarts times 35 equals 70 quarts and 17.5 gallons equals 70 quarts
7 0
3 years ago
Which equation could be solved using the graph above?
nevsk [136]

Answer:

Option 3

Step-by-step explanation:

we are given the graph of a parabola

with vertex at (0,-1) and symmetrical about y axis and also open up.

Hence the equation of the graph would be transformation of y=x^2

by a vertical shift of 1 unit down.

So new equation after transformation would be

y+1=x^2

Ory=x^2-1

Hence option 3 is right choice.

Verify:

Put Solving the equation we get

x^2=1

x=±1

In the graph x intercepts are the same as -1 and 1

Hence our answer is right.

8 0
3 years ago
Read 2 more answers
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