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2 years ago

Which graph represents the inequality? 18x−3y<−21

Mathematics

2 answers:

ozzi2 years ago

6 0

I'm going to go with C.
The inequality isn't greater than OR EQUAL TO which marks out B and D.
The inequality is showing that it is greater than -21 meaning that the shaded area should be towards the positive which in turn marks out A.

tester [92]2 years ago

4 0

First, you solve or simplify the inequality.

Divide everything by 3.
6x - y < -7

Subtract 6x from both sides.
-y < -6x - 7

Divide everything by -1
y > 6x + 7

Since there isn't a line under the sign, it will be a dotted line on the graph. And since it is greater than, the right side of the line will be shaded. Therefore, the answer is C

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Erin built a wooden box to hold hay on her farm. Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to complete

sergiy2304 [10]

Here is the complete question.

Erin built a wooden box to hold hay on her farm.The box is 3 \text { m}3 m3, start text, space, m, end text long, 1 \text { m}1 m1, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high.Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to completely fill the box with hay?

Answer:

it cost $42 to completely fill the box with hay

Step-by-step explanation:

Given that :

The length of the wooden box = 3m ; the width of the box = 1m and the height of the box = 1 m; we can easily determine the volume of the rectangular wooden box;

We all know it would assume the shape of a rectangular prism and it's volume = L × W × H

Thus; the volume of the box = . 3 m × 1 m × 1 m = 3 m³

However, the question proceeds by stating it that the wooden box cost $14 per cubic meter;

So , if 1 cubic meter = $14;

three cubic meters = $14 × 3 = $42

Hence; it cost $42 to completely fill the box with hay

8 0

2 years ago

Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than a

kozerog [31]

Answer:

The exponent is negative

The exponent represents the number of places the decimal moves

The decimal moves to the right

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

9. The average diameter of an atom is 2 x 10-8 m. What if the average diameter of an atom was 1 cm? How tall would you be?

ozzi

Answer:

You'd be $2 * 10^{-6}$ times tall

Step-by-step explanation:

Given

Represent the previous and new diameter by D1 and D2;

$D_1 = 2 * 10^{-8}m$

$D_2 = 1\ cm$

To determine how tall you'd be, we need to divide D2 by D1;

$Ratio = \frac{D_2}{D_1}$

Substitute values for D2 and D1

$Ratio = \frac{2 * 10^{-8}m}{1\ cm}$

Convert cm to m

$Ratio = \frac{2 * 10^{-8}m}{1 * 0.01\ m}$

$Ratio = \frac{2 * 10^{-8}m}{0.01\ m}$

Convert denominator to exponents

$Ratio = \frac{2 * 10^{-8}m}{10^{-2}\ m}$

$Ratio = \frac{2 * 10^{-8}}{10^{-2}}$

Apply Law of indices

$Ratio = 2 * 10^{-8} * 10^2$

$Ratio = 2 * 10^{-8+2}$

$Ratio = 2 * 10^{-6}$

Hence;

<em>You'd be </em> $2 * 10^{-6}$ <em> times tall</em>

4 0

2 years ago

Twenty-five juniors from a University volunteer to allow their Math GRE test scores to be used in a study. These 25 juniors had

fgiga [73]

Let's start first by writing down the given:
σ = 100
sample mean = 450
sample size = 25

These information, plus the fact that we know that the population is approximately normally distributed, would tell us that we can use the normal distribution curve in analyzing the problem.

A confidence interval of the mean is just a range statistically estimated to contain the population mean. For a 90% confidence interval, we would look at the Z-table and see where 90% of the data falls. We'll notice that it will fall within 1.645 standard deviations of the mean.

Next, we look for the standard error of the mean. This will have a formula
$error= \frac{standard deviation of population}{ \sqrt{N} }$

The standard error would just therefore be equal to
$\frac{100}{ \sqrt{25} }= \frac{100}{5} =20$

Lastly, we just get the product of the standard error and 1.645 and add it to 450 for the maximum value and subtract it to 450 for the minimum value.
$450-20(1.645)=417.1$
$450+20(1.645)=482.9$

ANSWER: 417.1<μ<482.9

8 0

2 years ago

Gianna is going to throw a ball from the top floor of her middle school. When she throws the hall from 48 feet above the ground,

vazorg [7]

Answer:

So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

Step-by-step explanation:

The height h of the ball is modeled by the following equation

$h(t)=-16t^2+32t+48$