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2 years ago

Help due in 20 mins will mark brainliest.

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

3 0

Answer:

1. The ratio in the table above is a 2.5 : 1 ratio.

2. The second row represents that if you use 15 cups of flour you need 6 tablespoons of flour. (I’m not 100% sure this one is right)

3. 10 cups of flour and 4 tablespoons vanilla

Step-by-step explanation:

3. If you divide your number of flour by 2.5 you get the amount of vanilla you must use

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The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5

Delvig [45]

Answer:

B) 25

Step-by-step explanation:

Given exponential function:

$f(x)=3(5)^x$

The growth factor between $x=1$ and $x=3$ is 25.

To find the growth factor between $x=5$ and $x=7$

Solution:

The growth factor of an exponential function in the interval $x=a$ and $x=b$ is given by :

$G=\frac{f(b)}{f(a)}$

We can check this by plugging in the given points.

The growth factor between $x=1$ and $x=3$ would be calculated as:

$G=\frac{f(3)}{f(1)}$

$f(3)=3(5)^3$

$f(1)=3(5)^1$

Plugging in values.

$G=\frac{3(5)^3}{3(5)^1}$

$G=\frac{(5)^3}{(5)^1}$ (On canceling the common terms)

$G=(5)^{(3-1)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Similarly the growth factor between $x=5$ and $x=7$ would be:

$G=\frac{f(7)}{f(5)}$

$f(7)=3(5)^7$

$f(5)=3(5)^5$

Plugging in values.

$G=\frac{3(5)^7}{3(5)^5}$

$G=\frac{(5)^7}{(5)^5}$ (On canceling the common terms)

$G=(5)^{(7-5)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Thus, the growth factor remains the same which is =25.

3 0

2 years ago

Read 2 more answers

How can estimating the quotient help you check that your answer to a division problem is reasonable?

neonofarm [45]

Explanation:

If your actual answer is very far from your estimate, you probably made a mistake somewhere.

<em>Additional comment</em>

50 years ago, when a slide rule was the only available calculation tool, making an estimate of the result was a required part of doing the calculation. Not only were the first one or two significant digits needed, but also the power of 10 that multiplied them. Use of a slide rule required the order of magnitude be computed separately (by hand) from the significant digits of the result.

You may also find it useful to estimate the error in your estimate. That is, you may want to know the approximate answer to 2 (or more) significant digits in order to gain confidence that your calculation is correct.

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1 year ago

86.5qt = how many liters

denis23 [38]

The answer is 81.860

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2 years ago

Read 2 more answers

The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool’s border?"

emmasim [6.3K]

<span>A = Area
L= Length = 15
W + widith = 10
A = 150
The pool area is L = 10
w= 5
A= 50
So the area of the perimeter = 100 square meters</span>

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