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4 years ago

For exponential functions which of the following expression is equal to [f(3)]^4]

Mathematics

1 answer:

Molodets [167]4 years ago

5 0

Answer:

$F(3*4)$

Step-by-step explanation:

$Let\ exponential\ function\ F(x)=a^x\\\\F(3)=a^3\\\\\{F(3)\}^4=\{a^3\}^4\\\\\{F(3)\}^4=a^{3\times 4}...........eq(1)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ as\ (m^n)^k=m^{nk}\\\\Now\ F(3*4)=a^{3\times 4}.......eq(2)\\\\From\ eq1\ and\ eq2\\\\\{F(3)\}^4=F(3\times 4)\\\\\{F(3)\}^4=F(3*4)$

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Hilary's house has a value of £180 000 correct to 2 significant figures.

Gemiola [76]

The least and highest value of the house before being rounded are £184999 and £175000 respectively.

The initial value of Sue's house before the increase is £205,000

£180,000 correct to 2 significant figures :

The greatest value of the house would be a sum in which the third significant figure is a value less than 5 and the succeeding values are highest

£184999

The least value of house would be a sum in which the third significant value is 5 and the succeeding values are lowest.

£175000

2.)

Let the price before the increase = p

Price after increase = £219350

7% of p = 219350

(1+7%) × p = 219350

1.07p = 219350

p = 219350 / 1.07

p = £205,000

Therefore, the price of the house before the increase is p = £205,000

Learn more : brainly.com/question/25338987

5 0

3 years ago

Simplify by combining like terms -15+6x-19-20x

Molodets [167]

Combine the like terms:

-15 - 19 = -34

6x - 20x = -14x

The answer would be -34-14x or -14x-34

5 0

3 years ago

Read 2 more answers

A student makes a sign out of a rectangular piece of cardboard for an upcoming event at school. The piece of cardboard has a len

seraphim [82]

Answer:

915 in²

Step-by-step explanation:

The area of the rectangle :

Length = 32 inches

Width = 25 - (10+10) = 25 - 20 = 5 inches

Area of rectangle = Length * width

Area = 32 * 5 = 160 in²

Area of triangle :

Base = 25 inches

Height = (46 - 32) inches = 14 inches

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 25 * 14 = 175 in²

Total area = (160 + 175)in² = 335 in²

Total area of cardboard :

50 inches * 25 inches = 1250 in²

Amount of cardboard not used :

(1250 - 335) in² = 915 in²

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3 years ago

Explain the different ways you can name an angle how can you determine if two triangles are similar

kogti [31]

Answer:

angle angle theorem.

Step-by-step explanation:

If you want to determine whether a few angles are similar you can use formulas such as SAS AAA ASA etc.

this means

side angle side

angle angle anlge

angle side angle

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2 years ago

Carrie has 40 more nickels than Joan has dimes. They both have the same amount of money. How many coins does each girl have? Wha

LuckyWell [14K]

Answer:

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

Step-by-step explanation:

Let be $x$ and $y$ the amounts of nickels and dimes that Carrie and Joan have, as $c$ the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.