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2 years ago

Given the following information, calculate the

Mathematics

1 answer:

Anna11 [10]2 years ago

6 0

Answer:

150

Step-by-step explanation:

The ratio of ZY to SW is 16:24, meaning it is 2:3, so all of the sides of RST are 1.5 times as long as RZX.

RZ = 28, so RS = 42

RX = 40, so RT = 60

ZX= ZY + XY and since they are the same length, ZX = 32, making ST = 48

The perimeter is 42 + 60 + 48 = 150

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The answer it’s a. Pretty sure if not sorry

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3 years ago

Vivian is getting a pet snake. She is choosing between the ball python and the corn snake. the ball python is 4 1/2 ft long and

Nadusha1986 [10]

Answer:

The 45 in snake is the shorter one.

Step-by-step explanation:

Which is shorter, 45 in or 4 1/2 ft?

12 in

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1 ft

Thus, the 45 in snake is shorter than the 54 in one and should b e V's first choice.

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3 years ago

Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.

il63 [147K]

Answer:

The minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

Step-by-step explanation:

Given function is $f(x) = 0.15(x + 1)^2 - 3$

We need to find the maximum value or the minimum value for the function.

Now, differentiate $f(x) = 0.15(x + 1)^2 - 3$ w.r.t $x$ .

$f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\$

$f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)$

Now, we will equate $f'(x)=0$ to find critical point.

$0.3(x+1)=0\\x=-1$

Plug this critical point in to the function $f(x) = 0.15(x + 1)^2 - 3$ we get,

$f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3$

Also, $f''(x)=0.3$ which is positive, We have minimum value.

So, the minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

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3 years ago

The table below represents the function F. 3 7 F(x) 4 15 5 31 7 127 8 255 The equation that represents this function is?

timurjin [86]

The table is an exponential function, and the equation that represents this function is $f(x) =2^x -1$

<h3>The equation of the table</h3>

The table is given as:

x F(x)

4 15

5 31

7 127

8 255

Rewrite the table as:

x F(x)

4 16 - 1

5 32 - 1

7 128 - 1

8 256 - 1

Express as a base of 2

x F(x)

4 2⁴ - 1

5 2⁵- 1

7 2⁷ - 1

8 2⁸ - 1

Notice that the function is 1 subtracted from 2 raised to the power of the input.

This is represented as:

$f(x) =2^x -1$

Hence, the equation of the table is $f(x) =2^x -1$

Read more about exponential functions at

brainly.com/question/9608962

#SPJ1

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2 years ago

I need help on this, thank you in advance

Montano1993 [528]

Answer:

Step-by-step explanation:

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2 years ago