Solve the system of equations.
- 3x + 2y = 56
- 5 - 2y = 24

Dodie's triangular plot with 160 rose plants will have 12 rows.

To solve it,

Assigning a variable to the number of rows we want to find. Assume that this variable is "n".

Since there are 5 more plants in each row than in the previous row,

We can use an arithmetic sequence to represent the number of plants in each row.

Specifically, the first row will have 1 plant, and the second row will have

1 + 5 = 6 plants, the third row will have 1 + 5 + 5 = 11 plants, and so on.

The formula for an arithmetic sequence is,

an = a1 + (n-1)d

Where an is the nth term of the sequence,

a1 is the first term,

And d is a common difference.

Using this formula, we can write an expression for the total number of plants in all n rows,

160 = n/2 (2 + (n-1)5)

Simplifying this equation, we get,

160 = 2.5n² + 2.5n - 5

Now we can solve for n using the quadratic formula,

n = (-2.5 ± √(2.5²+ 4(2.5)(165)))/(2(2.5))

After simplifying this equation, we get two solutions,

n = -13.2 and n = 12.2.

Since we can't have a negative number of rows, we'll take the positive solution, n = 12.2.

Now, since we can't have a fraction of a row, we'll round down to the nearest integer.

Therefore, Dodie's plot will have 12 rows.

To learn more about quadratic equations visit:

https://brainly.com/question/30098550

#SPJ12

Answer: 6 hours

Step-by-step explanation:

6.5x = 39

6=x

a) The area of the first circle is approximately 254.34 square inches

b) The area of the second circle is approximately 70650 square inches.

a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:

r = 18/2 = 9 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 9² = 254.34 square inches

Therefore, the area of the first circle is approximately 254.34 square inches.

b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:

25 feet = 25 x 12 inches = 300 inches

Then we can find the radius by dividing by 2:

r = 300/2 = 150 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 150² = 70650 square inches

Therefore, the area of the second circle is approximately 70650 square inches.

Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.

To learn more about area click on,

https://brainly.com/question/16599566

#SPJ1

Answer:

D. 4.5​

Step-by-step explanation:

Answer:

1.85%

Step-by-step explanation:

→ Find the difference between the actual and predicted

5.5 - 5.4 = 0.1

→ Divide answer by 5.4

0.1 ÷ 5.4 = 0.01851851851

→ Multiply answer by 100

0.01851851851 × 100 = 1.85%

Answer:

Answer choice B

Step-by-step explanation:

Here is the form you are using:

y=mx +b

Substitute:

y=6x-5

Answer choice B

The natural breaks, quantile, and equal interval classification schemes are methods used to categorize data for the purpose of creating thematic maps. Each scheme has its own approach and considerations: Natural Breaks, Quantile, Equal Interval.

Natural Breaks (Jenks): This classification scheme aims to identify natural groupings or breakpoints in the data. It seeks to minimize the variance within each group while maximizing the variance between groups. Natural breaks are determined by analyzing the distribution of the data and identifying points where significant gaps or changes occur. This method is useful for data that exhibits distinct clusters or patterns.

Quantile (Equal Count): The quantile classification scheme divides the data into equal-sized classes based on the number of data values. It ensures that an equal number of observations fall into each class. This approach is beneficial when the goal is to have an equal representation of data points in each category. Quantiles are useful for data that is evenly distributed and when maintaining an equal sample size in each class is important.

Equal Interval: In the equal interval classification scheme, the range of the data is divided into equal intervals, and data values are assigned to the corresponding interval. This method is straightforward and creates classes of equal width. It is useful when the range of values is important to represent accurately. However, it may not account for data distribution or variations in density.

In summary, the natural breaks scheme focuses on identifying natural groupings, the quantile scheme ensures an equal representation of data in each class, and the equal interval scheme creates classes of equal width based on the range of values. The choice of classification scheme depends on the nature of the data and the desired representation in the thematic map.

Learn more about   interval   from

https://brainly.com/question/30460486

#SPJ11

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

Learn more about cylinder at:

https://brainly.com/question/9554871

#SPJ1

Answer:

44%

Step-by-step explanation:

14/25x100=56

100-56

Set up the proportion 14/25 = x/100

Cross multiply.

1400 = 25x

Divide by 25.

56 = x

So, 56% of students passed the test, which means (100-56)% = 44% did NOT pass.

44% of the students did not pass the test.

Hope this helps!

Answer:

104 hours

Step-by-step explanation:

1600-45=1555

1555/15=103.67

Round up to nearest whole number

Answer:

\(x=2\)

Step-by-step explanation:

I believe your question is:

For what value of \(x\) does \(3^{2x}=9^{3x-4}\)?

—

First, rewrite \(9\) as \(3^2\):

\(3^{2x}=(3^2)^{3x-4}\)

Then, use exponentiation to apply the \((a^b)^c=a^{bc}\) rule:

\(3^{2x}=3^{2(3x-4)}\)

Rewrite the expression as a non-exponential one since the bases (\(3\)) are equal on both sides:

\(2x=2(3x-4)\)

Distribute the \(2\):

\(2x=6x-8\)

Subtract \(6x\) from both sides:

\(-4x=-8\)

Divide both sides by \(-4\):

\(x=2\)

Answer: D

Step by step explanation: the bank with 7% interest can get 7% incrementing (+5600$), because capitalism.

Answer: OB

Step-by-step explanation:

It is decreased by $80,000.

did the test

Answer:

c. size

Step-by-step explanation:

i chose this because depending on how large a molecule is, it can pass through the cell membrane which kinda explains why oxygen gets into the cell but other stuff dont

Answer:

8 and 4 both equal 32:

The accuracy of the computation relies on having the specific values of the point coordinates and the slope of the line. Without these values, we cannot provide a numerical answer.

To compute the angle formed by the tangents from a point in the second quadrant that is bisected by the line with a given slope, we need the specific values of the point coordinates and the slope of the line. Unfortunately, these values are not provided in the question.

However, I can provide you with the general steps to compute the angle when the necessary information is available:

1. Determine the point in the second quadrant: Let's assume the point is (x, y), where both x and y are negative since it lies in the second quadrant.

2. Find the slopes of the tangent lines: The slopes of the tangent lines can be determined using the derivative of the function representing the curve at that point. Without knowing the specific curve equation, we cannot calculate this.

3. Use the slope bisector formula: The slope bisector of the two tangent lines will have a slope that is the average of the slopes of the tangent lines. We can compute this using the formula:

  **m_bisector = (m1 + m2) / 2**

4. Find the angle of the bisector line with the given slope: Using the slope of the bisector line, we can calculate the angle it forms with a horizontal line by taking the arctangent of the slope. The angle will be in radians or degrees, depending on the unit of the arctangent function used.

Please note that the accuracy of the computation relies on having the specific values of the point coordinates and the slope of the line. Without these values, we cannot provide a numerical answer.

Learn more about accuracy here

https://brainly.com/question/4405672

#SPJ11

~Let's change 9.9² to 10² since we have to estimate.~

We know that:

Solving the expression:

The estimated value of 9.9² × 1.79 is 179.

~Let's change √97.5 to √100 and 1.96 to 2 since we have to estimate.~

We know that:

Solving the expression:

The estimated value of √97.5 ÷ 1.96 is 5.

Answer:

the answer is C.

Step-by-step explanation:

your welcome..

Answer:

youre answer would be 4 so that would be C

Answer:

x = 3.8

Step-by-step explanation:

0.18(5x – 4) = 0.5x + 0.8

→ Expand out 0.18(5x – 4)

0.9x - 0.72 = 0.5x + 0.8

→ Multiply everything by 100 to get rid of the decimals

90x - 72 = 50x + 80

→ Minus 50x from both sides to collect the x terms

40x - 72 = 80

→ Add 72 to both sides to isolate 40x

40x = 152

→ Divide both sides by 40 to isolate x

x = 3.8

The inequality is true.

Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.

Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.

The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.

A number line that is going from the negative 3 to positive 3 and is in increasing order.

The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.

Hence the option 1, 2, and 3 are true.

Learn more about the inequality is true.

brainly.com/question/19366916.

#SPJ1

Step-by-step explanation:

v=u+at

v=0+9.8m/s2 ×4s

v=39.2 ms-1

Final velocity; v =  -39.24 m/s

In free fall, the motion is in the direction of gravity.

Formula for final velocity in free fall is;

v = u + gt

(g is negative)

We are told the ball is dropped from rest.

Thus;

Initial velocity: u = 0 m/s

Time; t = 4 secs

Acceleration due to gravity; g = -9.81 m/s²

Thus, Plugging in the relevant values, we have;

v = 0 + (-9.81 × 4)

v = -39.24 m/s

Final velocity; v =  -39.24 m/s

Read more at; brainly.com/question/4853862

Answer:

r = 5.74%

Step-by-step explanation:

Compound interest formula is expressed as;

A = P(1+r)^t

P is the principal = $8000

A = P+I =8000 + 2000 = $10000

time t = 4years

Substitute

10000 = 8000(1+r)^4

10000/8000 = (1+r)^4

10/8 = (1+r)^4

1.25 = (1+r)^4

1.05737126344 = 1+r

r = 1.05737126344 - 1

r = 0.05737126344

r = 5.74%

This gives the rate of interest

The slope of the line joining the points (1,1) and (7,5) is 2/3

Here, we want to find the slope of the line that passes through these two points

To get this, we use the equation of the slope

This is;

From the question;

Substituting these values, we have;

Answer:D

Step-by-step explanation: the average of the 30 stocks in the Dow Jones increased

Answer:

172.5 cups

Step-by-step explanation:

Q4 = 690

Q = \(\frac{690}{4}\) = 172.5

∴ She weighed 172.5 cups

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

Learn more about discount here: brainly.com/question/31746893

#SPJ11

Rounding to the nearest integer, the predicted calorie count for a cereal with 14 grams of sugar per serving is approximately 163 calories.

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics,

To calculate the predicted calorie count for a cereal with 14 grams of sugar per serving using the predictive regression equation y^ = 94.639 + 4.918x, we substitute x = 14 into the equation.

y^ = 94.639 + 4.918(14)

y^ = 94.639 + 68.852

y^ ≈ 163.491

Know more about integer here:

https://brainly.com/question/15276410

#SPJ11

Answer:

136

Step-by-step explanation:

2(6)^2-(-4)^3

2(36)+64

72+64

-Hope it helps :)

Answer:

Rs 4640

Step-by-step explanation:

8/100 x 4000 = 320

320 x 2 = 640

4000+ 640 = Rs4640

Feel free to mark it as branliest

Angle-Angle-Side (AAS) Theorem has two sides and a non-included angle.

To learn more about Angle-Angle-Side (AAS) Theorem refer to:

https://brainly.com/question/3168048

#SPJ4