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3 years ago

Help please !!! AAAAAA

Mathematics

1 answer:

lesantik [10]3 years ago

4 0

Answer:

it's 1/3x. You step three on the x-axis and one on the y-axis. So the gradient triangle is 1/3

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Cindy is growing plants for a science project. During the project, one plant grows from a height of 7 cm to 10.85 cm. What is th

Leto [7]

Answer:

Percentage increase in the height is 55%.

Step-by-step explanation:

Since Cindy is growing plants for a science project. During the project Cindy found that one plant grows from 7 cm to 10.85 cm.

We have calculate percent increase in the height of the plant.

We know formula to calculate the percentage is

% Increase in the height = Net increase in the height×100/Initial length of the plant

= $\frac{(10.85-7)100}{7}= \frac{(3.85)(100)}{7}=\frac{385}{7}= 55%$

Therefore % increase in the height of the plant is 55%.

8 0

3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

$y = -16x^2 + 177x + 98$

It hits the ground when $y = 0$ , so we have to find x for which $y = 0$ , which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$y = -16x^2 + 177x + 98$

$-16x^2 + 177x + 98 = 0$

$a = -16, b = 177, c = 98$

$\bigtriangleup = 177^{2} - 4(-16)(98) = 37601$

$x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53$

$x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59$

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0

3 years ago

The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. A 4-column tab

In-s [12.5K]

Answer: 100/400

<u>Step-by-step explanation:</u>

$\begin{array}{l|c|c|c}&Liquid&Not\ Liquid&Total\\ Bar&200&100&300\\Not\ Bar&80&20&100\\Total&280&120&400\end{array}$

$\dfrac{Not\ Bar:Total}{Total:Total}\quad =\dfrac{100}{400}$

4 0

3 years ago

A rectangle has a length that is 2 meters more than the width. The area of the rectangle is 288 square meters. Find the dimensio

Rufina [12.5K]

Answer:

L = 18 and w = 16

Step-by-step explanation:

The area of a rectangle is found by A = l*w. Since the length here is 2 more than the width or 2 + w and the width is w, substitute these values and A = 288 to solve for w.

$A = l*w\\288 = w(2+w)\\288 = w^2 + 2w$

To solve for w, move 288 to the other side by subtraction. Then factor and solve.

$w^2 + 2w - 288 = 0 \\(w +18)(w-16) = 0\\$

Set each factor equal to 0 and solve.

w - 16 = 0 so w = 16

w + 18 = 0 so w = -18

Since w is a side length and length/distance cannot be negative, then w = 16 is the width of the rectangle.

This means the length is 16 + 2 = 18.

7 0

3 years ago

What is the value of -7/8 divided by -1 2/5

Zigmanuir [339]

(-7/8) / (-1 2/5) = (-7/8) / (-7/5) = (-7/8) * (-5/7) = 5/8

4 0

3 years ago