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3 years ago

9 times as much as 7 tenths

1 answer:

6 0

7 tenths means 0.7
we want 9 times as much as 7 tenths. This means that we will multiply the 7 tenths by 9 to get the answer.

This will give us the following result:
0.7 x 9 = 6.3

Therefore: 9 times as much as 7 tenths is 6.3

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Two consecutive integers have a sum of 77

Fudgin [204]

The two consecutive integers would be 38 and 39. Hope this helps!

5 0

4 years ago

A jar contains 900 beans. Of all the beans 2/3 are azuki beans and the rest are Lima beans. What is the ratio of azuki beans to

serg [7]

Answer:

2:1

Step-by-step explanation:

There are 600 azuki beans and 300 Lima beans. 600/300 simplified is 2:1 :DD

7 0

3 years ago

1. Use the given Taylor polynomial p 2 to approximate the given quantity.

KiRa [710]

Answer:

Part 1:

P₂(0.07)=0.93245≈ $e^{-0.07}$

Part 2:

Error= $0.5618*10^{-4}$

Step-by-step explanation:

Given:

$f(x)=e^{x}\\f(-0.07)=e^{-0.07}$

P₂(x)= $1-x+\frac{x^2}{2}$

Solution:

Part 1:

P₂(x)= $1-x+\frac{x^2}{2}$

We have x=0.07

Put Value of x in above Equation:

P₂(0.07)= $1-0.07+\frac{0.07^2}{2}$

P₂(0.07)=0.93245≈ $e^{-0.07}$

Part 2:

$e^{-0.07}$ =0.93239382 (Calculated using Calculator)

Error=| $e^{-0.07}$ -P₂(0.07)|=|0.93239382-0.93245|=0.00005618

Error=|0.93239382-0.93245|

Error=0.00005618

Error= $0.5618*10^{-4}$

6 0

3 years ago

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the

Savatey [412]

Answer:

(A) The reasonable domain to plot the growth function is (0 ≤ n < 5).

(B) The y-intercept of the function is 10 cm. It represents the height of the plant at the beginning of the experiment.

Step-by-step explanation:

The equation representing the height of the plant is:

$f (n)=10\cdot (1.02)^{n}$

(A)

It is provided that at the end of the study the height of the plant was approximately 11.04 cm.

Compute the range of values of n as follows:

$f (n)=10\cdot (1.02)^{n}\\11.04 = 10\cdot(1.02)^{n}\\1.104 = 1.02^{n}\\\ln (1.104) = \ln (1.02^{n})\\\ln (1.104) = n \ln (1.02)\\\\n = \frac{\ln (1.104)}{ \ln (1.02)}\\\\n = 4.99630409516\\n\approx 5$

Thus, the reasonable domain to plot the growth function is (0 ≤ n < 5).

(B)

The y-intercept, in this case would represents the height of the plant when they began the experiment.

That is, the y-intercept of the function is the value of f (n) for n = 0.

Compute the value of f (n = 0) as follows:

$f (0)=10\cdot (1.02)^{0}=10$

Thus, the y-intercept of the function is 10 cm. It represents the height of the plant at the beginning of the experiment.

(C)

Compute the values of f (n = 1) and f (n = 5) as follows:

$f (1)=10\cdot (1.02)^{1}=10.2\\\\f (5)=10\cdot (1.02)^{5}=11.0408\approx 11.04$

Compute the average rate of change as follows:

$\text{Average rate of change}=\frac{f(n_{2})-f(n_{1})}{n_{2}-n_{1}}$

$=\frac{11.04-10.20}{5-1}\\\\=\frac{0.84}{4}\\\\=0.21$

Thus, the average rate of change of the function f(n) from n = 1 to n = 5 is 0.21.

The average rate of change is known as the slope of the function. The slope represents how much the plant is growing every day.

Thus, the slope of 0.21 implies that the plant is growing 0.21 cm every day.

7 0

4 years ago

Factor this expression completely 9a 4 - b 2

zhannawk [14.2K]

It seems like a trick question but you actually only need to factor it once

3 0

3 years ago