Which two points on the number line represent numbers that can be combined to make zero?

Paige and Thuy are on a hill by a river. Paige throws a stone into the river. Her

Drupady [299]

The answer is Y=9x-1

7 0

4 years ago

Jocelyn is training for a race by running several miles each day. she tracks her progress by recording her average speed in minu

Luden [163]

Finding the regression equation, her average speed on the 9th day should be expected to be of 6.92 minutes per mile.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

Researching the problem on the internet, the values of x and y are given as follows:

Values of x: 1, 2, 3, 4, 5, 6.

Values of y: 8.2, 8.1, 7.5, 7.8, 7.4, 7.5.

Hence, using a calculator, the equation for the average minutes per mile after t days is given by:

V(t) = -0.15143t + 8.28

Hence, for the 9th day, t = 9, hence the estimate is:

V(9) = -0.15143(9) + 8.28 = 6.92 minutes per mile.

More can be learned about regression equations at brainly.com/question/25987747

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4 0

2 years ago

Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?

saw5 [17]

The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

$(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4$

Evaluate the combination factors.

So, we have:

$(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4$

Evaluate the exponents and the products

$(2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81$

Hence, the value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

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8 0

2 years ago

A sprinkler sprays water in a circular area up to 30 feet. A radius reduction screw lets people reduce the radius by up to 25%.

tankabanditka [31]

Answer: $1590.63\ ft^2$

Step-by-step explanation:

Given

The sprinkler can water the area up to $30\ ft$ i.e. $30\ ft$ is the radius

If the screw leads to a reduction of 25% in radius, then the new radius is

$r'=(1-0.25)r\\r'=0.75r\\r'=22.5\ ft$

So, the area corresponding to this radius

$\Rightarrow \pi (22.5)^2\\\Rightarrow 1590.63\ ft^2$

Thus, the maximum area that can be covered is $1590.63\ ft^2$

5 0

3 years ago

What is the sum of 2/10 and 9/100

zhannawk [14.2K]

First we need to find a common denominator

$\frac{2}{10}$ = $\frac{20}{100}$
now we can add them

$\frac{20}{100}$ + $\frac{9}{100}$ = $\frac{29}{100}$

5 0

3 years ago

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