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3 years ago

3^5 + 6^3 evaluate the expression

Mathematics

1 answer:

tigry1 [53]3 years ago

4 0

Answer:

459

Step-by-step explanation:

because 3^5 is 243 and 6^3 is 216 then add up 243+216=459

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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

2 years ago

Tina throws a baseball straight up from a height of 3 feet and at a speed of 50 feet per second. The height of the ball in feet

vodka [1.7K]

Answer:

9 feet

Step-by-step explanation:

The height of the ball in feet is given by the polynomial:

$h(t) = -16t^2+50t+3$

where t is the time in seconds.

After 3 seconds, t = 3:

$h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet$

The height of the ball after 3 seconds is 9 feet.

6 0

3 years ago

adam bought a box of fruit that weighed 6 1/4 pounds. if he bought a second box that weighed 8 1/8 pounds , what is the combined

Serhud [2]

Answer:

14 3/8 pounds

Step-by-step explanation:

6 pounds plus 8 pounds= 14 pounds. 1/4 + 1/8= 3/8. 1/4 can be turned into 2/8, and 2/8 plus 1/8 equals 3/8. Hope this helps :)

3 0

2 years ago

Orchestra seats for a Symphony per-

slamgirl [31]

Answer:

The Answer is that Orchestra seats were $15 and Balcony seats were $9.

Step-by-step explanation:

400(x+6) + 250x = 8250

400x + 2400 + 250x = 8250

650x + 2400 = 8250

650x = 5850

x = 9

Proof:

400(15) + 250(9) = 8250

6000 + 2250 = $8,250

7 0

3 years ago

Simplify.

alekssr [168]

Answer: Answer #1

Step-by-step explanation: −3.3m+9.2n−4.2 Brainliest please?

6 0

2 years ago