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2 years ago

The table represents a function.

Mathematics

2 answers:

Umnica [9.8K]2 years ago

8 0

It is equal to, I know its right because i just took the test

lakkis [162]2 years ago

6 0

Answer:

The rate of change in the function y=x+4 is _<u><em>Equal</em></u>_ the rate of change of the function represented in the table.

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A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f

jonny [76]

Answer:

2580 ft-lb

Step-by-step explanation:

Water leaks out of the bucket at a rate of $\frac{0.15 \mathrm{lb} / \mathrm{s}}{1.5 \mathrm{ft} / \mathrm{s}}=0.1 \mathrm{lb} / \mathrm{ft}$

Work done required to pull the bucket to the top of the well is given by integral

$W=\int_{a}^{b} F(x) dx$

Here, function $F(x)$ is the total weight of the bucket and water $x$ feet above the bottom of the well. That is,

$F(x)=4+(42-0.1 x)$

$=46-0.1x$

$a$ is the initial height and $b$ is the maximum height of well. That is,

$a=0 \text { and } b=60$

Find the work done as,

$W=\int_{a}^{b} F(x) d x$

$=\int_{0}^{60}(46-0.1 x) dx$

$&\left.=46x-0.05 x^{2}\right]_{0}^{60}$

$=(2760-180)-0[$

$=2580 \mathrm{ft}-\mathrm{lb}
$

Hence, the work done required to pull the bucket to the top of the well is $2580 \mathrm{ft}- \mathrm{lb}$

4 0

2 years ago

Elenas aunt bought her a $150 savings bond when she was born.When elena is 20 years old,yhe bond will have earned 105% in intere

steposvetlana [31]

Answer:

$307.5.

Step-by-step explanation:

We have been given that Elena's aunt bought her a $150 savings bond when she was born.When Elena is 20 years old, the bond will have earned 105% in interest.

To find bond's value after 20 years we will add 105% of 150 to 150.

$\text{Bond's value after 20 years}=150+(\frac{105}{100}\times 150)$

$\text{Bond's value after 20 years}=150+(1.05\times 150)$

$\text{Bond's value after 20 years}=150+157.5$

$\text{Bond's value after 20 years}=307.5$

Therefore, the bond will be worth $307.5, when Elena will be 20 years old.

3 0

2 years ago

Solve for the missing side in the special right triangle.

nevsk [136]

Answer:

Step-by-step explanation:

If I remember how to solve these questions correctly, if there is a triangle that is 45 degrees, the hypotenuse will be times the square root of 2 of the other two sides (which are equal to eachother). Hope this helped!

6 0

2 years ago

Read 2 more answers

Josh used an algorithm to find the product for 9x 239. His work is shown below is josh work correct? Explain

Anettt [7]

Answer:

Step-by-step explanation:

His work is NOT correct. Please use the picture above ^^