Brianna has six bags of soil filling one flower pot requires 1/3 of a bag of soil how many flower pots can be filled with the six flags

The solution to the inequality expression is -8/9 ≤ x ≥ 4/9

From the question, we have the following parameters that can be used in our computation:

|3x + 6/9| ≥ 2

Expand the inequality expression

So, we have

-2 ≤ 3x + 6/9 ≥ 2

Subtract 6/9 from both sides

So, we have

-24/9 ≤ 3x ≥ 12/9

Divide through the equation by 3

-8/9 ≤ x ≥ 4/9

Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9

The graph is attached

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In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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Answer:

Okay, let’s do some math. To perform the indicated operation, we need to substitute h(x) into g(x) and simplify. That is:

g(h(x)) = g(2x - 7)

= (2x - 7)² - 1

= 4x² - 28x + 49 - 1

= 4x² - 28x + 48

The final answer is 4x² - 28x + 48.

Step-by-step explanation:

Answer:

7/2, 1

Step-by-step explanation:

g(h(x)) = g (2x - 7)

= \(x^{2}\) - 1 (2x - 7)

= 2x³ - 7x² -2x +7

= 2x³ - 2x - 7x² + 7

=2x (x² - 1) -7 (x² - 1)

= (2x - 7) (x² - 1)

thus, the two possible values of x are,

7/2, 1

Step-by-step explanation:

Triangle

\( \frac{10 \times 4}{2} - \frac{5 \times 3}{2} = \\ = \frac{40}{2} - \frac{15}{2} = \\ = \frac{25}{2} \)

Circle

\( {4}^{2} \pi - {2}^{2} \pi = \\ = 16\pi - 4\pi = \\ = 12\pi\)

Answer:

D

Step-by-step explanation:

assuming a 6 sided die half of the die is above 3 so 1/2

The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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The original price of the item will be $ 480.When there is 75% off on the original price.

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The right question is

"Joyce saved $120 on an item that was 75 %  off. What was the original price?"

Given data;

% off = 75

Amount saved $120

Let the original price of the item is x

75 % of x + $120 = x

0.75x+ 120 =x

0.25 x =120

x=120/0.25

x=480

Hence, the original price of the item will be $ 480.

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Answer:

36 - x²

Step-by-step explanation:

(x-6)(-x-6) = (-1)(x-6)(x+6) = (-1)(x² - 36) = 36 - x²

this is based on the "well known" (a+b)(a-b) = a²-b²

Answer:

Diameter is 10 units

Step-by-step explanation:

Convert standard form to general form by completing the square:

\(x^2+y^2-8x+2y-8=0\)

\(x^2-8x+y^2+2y-8=0\)

\(x^2-8x+y^2+2y=8\)

\(x^2-8x+16+y^2+2y+1=8+16+1\)

\((x-4)^2+(y+1)^2=25\)

\((x-4)^2+(y+1)^2=5^2\)

So, since the radius of the circle is 5 units, then the diameter is twice the radius, which is 10 units.

Answer:

50

Step-by-step explanation:

x2 + y2 - 8x + 2y - 8 = 0

first we find the radius with the equation.

write the equation in standard form.

x2 + y2 - 8x + 2y - 8 = 0

(x-4)^2 + (y+1)^2 = 25

(x-h)² + (y-k)² = r²

this means 25 is the radius and the diameter is two times the radius so,

25 x 2 = 50

Answer:

The rate of change relates the change in population to the change in time.  The population increased by 2212−1900=312 people over the four-years.  To find the rate of change, divide the change in the number of people by the number of years.

2212−19004=3124

3124/4 =78

So the population increased by 78 people per year.

Because we are told that the population increased, we would expect the slope to be positive.  This positive slope we calculated is therefore reasonable.

The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

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With 99% confidence that the true difference lies between 0.1316 and 0.2694.

A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.

The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).

The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).

The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer

The intercepts of a graph are points at which the graph crosses the axes.

The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

Part A

Part B

X-Axis Symmetry: Occurs if “y” is replaced with “-y”, and it yields the original equation.

Y-Axis Symmetry: Occurs if “x” is replaced with “-x”, and it yields the original equation.

Origin Symmetry: Occurs if “x” is replaced with “-x” and “y” is replaced with “-y”, and it.

Therefore, the answer is Option B

Answer:

Step-by-step explanation:

Reason: The two line segments CF and AH point in the same direction, and they never intersect. Therefore, we consider them parallel.

Skew lines are ones that point in different directions. An example of a pair of skew lines would be AB and DE. Skew lines never intersect, but we don't consider them parallel.

Answer:

3n+4

Step-by-step explanation:

four more than three times a number.

3n + 4

Answer:

3

Step-by-step explanation:

The answer is three because u need to simply the fractions

Answer:

A

Step-by-step explanation:

if you plug in 5 for x into the equation, You add 11+5, then multiply 16 x45 which is 720.

Answer:

A

Step-by-step explanation:

\(45(11 + n) \geqslant 700 \\ \\ 11 + n \geqslant 15.56 \\ n \geqslant 4.56 \\ \)

then the answer is A 5 or more additional students

Answer:

Positive

Step-by-step explanation:

It's positive because the person is gaining 4 yards, not losing it.

A) The probability that a piece of toast lands butter side down when dropped from a 2.5-foot high table is 0.81 means that out of all possible outcomes of dropping a piece of toast from that height, 81% of the time it will land with the butter side facing down.

B) No, it does not mean that exactly 81 out of 100 pieces of toast will land butter side down. The probability of a single piece of toast landing butter-side down is 0.81, so when 100 pieces of toast are dropped, we can expect around 81 of them to land butter-side down on average, but the actual number may vary due to randomness.

C) Maria may or may not be surprised, depending on her expectations and the level of significance she sets for her test. To carry out a simulation, we can use a random number generator to simulate dropping 10 pieces of toast with a probability of 0.81 of landing butter side down. We can repeat this simulation multiple times, say 1000 times, and count the number of times the simulation yields 4 or fewer pieces of toast landing butter side down. If this rarely happens (e.g., less than 5% of the time), we can say that Maria should be surprised.

D) The dot plot displaying the results of 50 simulated trials of dropping 10 pieces of toast can provide some information about the variability of the outcomes. If most of the dots are clustered around 8 or 9 (which would correspond to 80% or 90% of the pieces of toast landing butter side down), then Maria's result of only 4 out of 10 pieces landing butter side down would be considered unusual, and she should be surprised. However, if the dots are spread over a wide range, it would suggest that getting 4 out of 10 is not that uncommon, and Maria should not be surprised.

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Answer:

$24

Step-by-step explanation:

1. MULTIPLY: 3 x 56 = 168

2. DIVIDE: 168 / 7 = $24

I hope this helps!

Based on multiplication we have found that 3/7 of $56 is equal to $24.

We are given that the expression 3/7 of $56

To determine 3/7 of $56, we can multiply 3/7 by $56.

Multiply 3/7 by $56:

(3/7) x $56 = (3 x $56) / 7

Calculate the numerator:

3 x $56 = $168

Divide the numerator by the denominator:

$168 / 7 = $24

Therefore, 3/7 of $56 is equal to $24.

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Answer:

The possible weights of the other cat are 3 5/8 lbs. or 6 7/8 lbs.

Step-by-step explanation:

5 2/8 - 1 5/8 = 3 5/8

           or

5 2/8 + 1 5/8 = 6 7/8

Answer:

1.75

Step-by-step explanation:

Divide the ounces by 16 to get the value.

Answer:

  (c)  x³·∛x

Step-by-step explanation:

You want the simplified form of ∛(x¹⁰).

The first part of the problem tells you how to get there. After you have that expression, you need to bring the x⁹ term from under the radical.

  \(\sqrt[3]{x^{10}}=\sqrt[3]{x^9\cdot x}=\sqrt[3]{x^9}\cdot\sqrt[3]{x}=\boxed{x^3\cdot\sqrt[3]{x}}\qquad\text{matches choice C}\)

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Answer:

a) ≈ 0.1

b) ≈ 0.2

c) ≈ 0.9

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

SOLUTION :-

a) \(\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{0.1}{0.995}\) ≈ 0.1

b) \(\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{-0.158}{-0.987} = 0.16 (appx)\) ≈ 0.2

c) \(\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{0.631}{0.776} = 0.81 (appx)\) ≈ 0.9

Using the given exponential function, it is found that the number of sales in 2001 was of 327,300.

It models the number of sales S in t years after 2001, given by:

\(S(t) = 372300\left(\frac{6}{5}\right)^t\)

2001 is year 0, hence the amount is given by S(0), that is:

\(S(0) = 372300\left(\frac{6}{5}\right)^0 = 372300\)

The number of sales in 2001 was of 327,300.

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Answer:

Step-by-step explanation:

The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."

When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.

Therefore, option 1 is the correct definitation of perpendicular lines.

Answer: 1. Two lines that intersect in a way that forms right angles.

Step-by-step explanation:

Hope this helped! :)