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3 years ago

Reduce the following fraction to lowest terms 49/105

Mathematics

2 answers:

iren [92.7K]3 years ago

8 0

These 2 numbers are both divisible by 7

(49 / 7) / (105 / 7) = 7 / 15 <== lowest terms

Alchen [17]3 years ago

5 0

Reduce by dividing top and bottom by 7, =7/15

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bixtya [17]

Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change.

f(3.5) = 25 means that:

$ab^{3.5} = 25$

$a = \frac{25}{b^{3.5}}$

f(8.5) = 14 means that:

$ab^{8.5} = 14$

Hence:

$\frac{25}{b^{3.5}} \times b^{8.5} = 14$

$25b^5 = 14$

$b = \sqrt[5]{\frac{14}{25}}$

$b = 0.89$

$a = \frac{25}{0.89^{3.5}} = 37.59$

Hence, the function is given by:

$y = 37.59(0.89)^x$

Then, when x = 5.5:

$f(5.5) = 37.59(0.89)^{5.5} = 19.8$

More can be learned about exponential functions at brainly.com/question/25537936

7 0

1 year ago

Y-6=4(x+5) what are the Y and X intercept

Misha Larkins [42]

Hello.

Reorder the terms: -6 + y = 4(x + 5)

Reorder the terms: -6 + y = 4(5 + x) -6 + y = (5 * 4 + x * 4) -6 + y = (20 + 4x)

Solving -6 + y = 20 + 4x Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation. -6 + 6 + y = 20 + 6 + 4x

Combine like terms: -6 + 6 = 0 0 + y = 20 + 6 + 4x y = 20 + 6 + 4x

Combine like terms: 20 + 6 = 26 y = 26 + 4x

Simplifying y = 26 + 4x

x-intercept: (−132,0)(-132,0)y-intercept: (0,26)

Have a nice day

4 0

2 years ago

Claire was out at a restaurant for dinner when the bill came. Her dinner came to $26. After adding in a tip, before tax, she pai

Kryger [21]

Answer:

0.0312

Step-by-step explanation:

You subtract 29.12 by 26 which equals 3.12

Then you divide by 100 which equals 0.0312

7 0

2 years ago

Read 2 more answers

The volume of the cylinder above is 2,314.25, and the radius of the base is 8.9 Find the volume of the cone.

olga55 [171]

Answer: $771.41\ units^3$

Step-by-step explanation:

The missing figure is attached.

The volume of an oblique cylinders and the volume of a right cylinder can be found with this formula:

$V_{cy}=\pi r^2h$

Where "r" is the radius and "h" is the height.

The volume of an oblique cone and the volume of a right cone can be found with this formula:

$V_{co}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height.

According to the information given in the exercise, you know that the volume of the cylinder and also the radius of the cylinder and the cone ,are the following:

$V_{cy}=2,314.25\ units^3\\\\r=8.9\ units$