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Bad White [126]
3 years ago
11

Which polynomials are in standard form?

Mathematics
1 answer:
xeze [42]3 years ago
3 0

<em><u>Polynomials in standard form:</u></em>

t^4 - 1\\\\-2t^2 + 3t + 4\\\\4t - 7

<em><u>Solution:</u></em>

Standard form of polynomials: terms are ordered from biggest exponent to lowest exponent

<em><u>Option A:</u></em>

t^4 - 1

The above is a polynomial

Where, largest exponent is arranged first

Therefore, it is standard form of polynomial

<em><u>Option B</u></em>

-2t^2 + 3t + 4

Here, exponents are from greatest to least

Therefore, it is standard form of polynomial

<em><u>Option C</u></em>

4t - 7

Here, "t" is a variable. The first term has largest degree

Therefore, it is standard form of polynomial

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if $5,000,000 isinvested at 4% interest compunded continuously, how much willl the investment be worth in 30 years
Katarina [22]
The answer is $16216987.55 (IMPORTANT: This is the answer assuming that the interest rate is annually. The quesiton says 'continuously' so I was a bit confused)

To solve this problem, you can use the compound interest formula. 

Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30

Just solve the equation to find the solution.


8 0
3 years ago
Ariana bought 5 dozen pears at $36 per dozen . She discovered that 7 were rotten and she sold the rest at $4.50 each . Calculate
GrogVix [38]

Step-by-step explanation:

1 dozen = 12 pears

12 pears = $36

1 pear = 36/12 = $3

Total Cost of Pears = No. of pears x price of 1 pear

= (5x12) x 3

= 60 x 3

= $180

Sale of Pears = Price per pear x (Total Pears bought - Rotten Pears)

= $4.50 x (5x12-7)

= $4.50 x 53

= $238.50

Profit/Loss = Sale of Pears - Total Cost of Pears

= $238.50 - $180

= $58.50

Ariana made a profit of $58.50.

5 0
3 years ago
Read 2 more answers
What is the value of thi expression when d=3?
Leni [432]

Answer:

73

Step-by-step explanation:

Givens

d = 3

Equation 7d^2 + 10 = ?

Solution

7*3*3 + 10                

7*9 + 10

63 + 10 = 73

4 0
4 years ago
Read 2 more answers
Use one unit multiplier to convert 5,000 meters to centimeters
wel

Answer:

5000 meters = 5000 × 100 = 500000 centimeters.

Conversion of 5000 meters to other length, height & distance units

5000 meters = 5 kilometers

5000 meters = 50000 decimeters

5000 meters = 5000000 millimeters

5000 meters = 5 × 1013 angstroms

5000 meters = 3.11 miles

5000 meters = 2730 fathoms

5000 meters = 5470 yards

5000 meters = 16400 feet

5000 meters = 49200 hands

5000 meters = 197000 inches

5000 meters = 43700 fingers

5000 meters = 1562 1

2

bamboos

5000 meters = 588000 barleycorns

4 0
2 years ago
A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the pole with a speed of 5 ft/s alo
harina [27]

Answer:

25/3 ft/s

Step-by-step explanation:

Height of pole , h=15 ft

Height of man, h'=6 ft

Let BD=x

BE=y

DE=BE-BD=y-x

All right triangles are similar

When two triangles are similar then the ratio of their corresponding sides are equal.

Therefore,

\frac{AB}{CD}=\frac{BE}{DE}

\frac{15}{6}=\frac{y}{y-x}

\frac{5}{2}=\frac{y}{y-x}

5y-5x=2y

5y-2y=5x

3y=5x

y=\frac{5}{3}x

Differentiate w.r.t t

\frac{dy}{dt}=\frac{5}{3}\frac{dx}{dt}

We have dx/dt=5ft/s

Using the value

\frac{dy}{dt}=\frac{5}{3}(5)=\frac{25}{3}ft/s

Hence, the tip of  his shadow moving  with a speed 25/3 ft/s when he is 45 feet from the pole.

8 0
3 years ago
Read 2 more answers
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