here’s a graph of the equation x + 3y = 6 select all coordinates pairs that represent a solution to the equation A) 0,2 B) 0,6 C) 2,6 D) 3,1 E) 4,1 F 6,2

√32 × √ 2 = √32×2 = √64 = √2×2×2×2×2×2 = √2⁶=2×2×2 = 8

Answer:

D is the extraneous ratio

Step-by-step explanation:

A is correct because 72/27 = 2.67, 64/24 = 2.67

B is correct because 25/10 = 2.5, 10/4 = 2.5

C is correct because 30/6 = 5, 35/7 = 5

D is extraneous (incorrect) because 7.5/ 5 is 1.5 and 18/1 is 18, two very different answers

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The sοlutiοn οf the given prοblem οf area cοmes οut tο be the side length rises by 1, the area grοws and then shrinks by an equal factοr.

Calculating hοw much space wοuld be needed tο fully cοver the οutside will reveal its οverall size. When determining the surface οf such a trapezοidal fοrm, the surrοundings are additiοnally taken intο accοunt. The surface area οf sοmething determines its οverall dimensiοns. The number οf edges here between cubοid's fοur trapezοidal extremities determines hοw much water it can hοld inside.

Here,

Optiοn B

The area grοws initially and then decreases by an amοunt equivalent tο the side length multiplied by 1. The area grοws befοre decreasing by an equivalent amοunt.

This is the case because a square's surface and side length are inversely prοpοrtiοnal. Where r is the οriginal side length, the area grοws by a factοr οf (1 + 2r + r2) as the side length rises by 1.

When r is big, hοwever, the term r2 dοminates and the area increase is less nοticeable.

Eventually, as r gets clοser tο infinite, the area increases οnly marginally and eventually reaches a limit.

As a result, as the side length rises by 1, the area grοws and then shrinks by an equal factοr.

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Complete question:

Answer:

8

Step-by-step explanation:

Answer:

The new value of the list after changing 71° to 93° would be:

58, 61, 93, 77, 91, 100, 105, 102, 95, 82, 66, 57

The measure that changes the most would be the median. Without the change, the median was 86.5°, which was the average of the 7th and 8th values in the list (100 + 77) / 2. However, after changing 71° to 93°, the median becomes 91°, which is the average of the 6th and 7th values in the list (91 + 91) / 2.

Therefore, the median has changed by 4.5° (from 86.5° to 91°).

fobt ≈ 1.945. This is the calculated value of the F-statistic for the given data.

The fobt, also known as the F-statistic, is used in statistical analysis to assess the significance of differences between groups or treatments. It is calculated by dividing the mean square variation between groups (MSbetween) by the mean square variation within groups (MSwithin).

In this case, we are given MSbetween = 54.2 and MSwithin = 27.9. To find fobt, we use the formula fobt = MSbetween / MSwithin. Substituting the given values, we have fobt = 54.2 / 27.9.

Dividing these two values gives us fobt ≈ 1.945. This is the calculated value of the F-statistic for the given data. The significance of this value depends on the context and the specific analysis being performed. Generally, the fobt value is compared to a critical value or p-value to determine if the observed differences between groups are statistically significant.

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The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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So, approximately 7.71 grams of radium will be present after 100 years.

To calculate the remaining amount of radium after 100 years, we will use the half-life formula:
Remaining Amount = Initial Amount * (1/2)^(time passed / half-life)
Here, the initial amount is 8 grams, the half-life is 1690 years, and the time passed is 100 years.
Step 1: Plug in the values
Remaining Amount = 8 * (1/2)^(100 / 1690)
Step 2: Calculate the exponent
Exponent = 100 / 1690 ≈ 0.05917
Step 3: Calculate the base raised to the exponent
(1/2)^0.05917 ≈ 0.9634
Step 4: Multiply the initial amount by the base raised to the exponent
Remaining Amount = 8 * 0.9634 ≈ 7.7072
So, approximately 7.71 grams of radium will be present after 100 years.
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Answer:

answer it yourself

Step-by-step explanation:

The score needed on the final exam to achieve a C grade is 79.33, rounded to 2 decimal places.

Homework is worth 30% of the grade, which is also a significant portion. The average homework score is 90, which means the average of all homework scores is 90.

Test reviews are only worth 5% of the grade, so they have the smallest impact on the overall average. The average test review score is 72, which means the average of all test review scores is 72.

Finally, the final exam is worth 15% of the grade, and we need to find out what score is needed on the final exam to achieve a C grade, which is 72%.

To calculate the overall average, we can use the weighted average formula.

Overall Average = (Tests Average x 0.5) + (Homework Average x 0.3) + (Test Reviews Average x 0.05) + (Final Exam Score x 0.15)

Substituting the values we know, we get:

Overall Average = (59 x 0.5) + (90 x 0.3) + (72 x 0.05) + (Final Exam Score x 0.15)

Simplifying this equation, we get:

Overall Average = 29.5 + 27 + 3.6 + (Final Exam Score x 0.15)

Overall Average = 60.1 + (Final Exam Score x 0.15)

To get a C grade, the overall average needs to be 72%. So we can set up an equation and solve for the Final Exam Score:

72 = 60.1 + (Final Exam Score x 0.15)

Solving for Final Exam Score, we get:

Final Exam Score = (72 - 60.1) / 0.15

Final Exam Score = 79.33

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The area of the square is 49 in². (third option)

The area of the circle is 75.39 in². (fourth option)

The area of the shaded portion is 26.39 in².(first option)

A square is a quadrilateral with four equal sides.

Area of a square = length²

7² = 49 in²

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

3.14 x 4.9² = 75.39 in²

Area of the shaded portion = area of circle - area of square

75.39 in² - 49 in² = 26.39 in²

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Answer:

It decreased

Step-by-step explanation:

It decreased. Assuming that the temperature is 100 and it is now reduced by 60% then the temperature will be at 40 and if it increased by 80% then the final temp is 72. So it is 48% of the original temp.

Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.

The equation is given as follows:

\(f(l) = 2\pi\frac{l}{32}\)

In which l is the length of the pendulum.

In this problem, we have that \(f(l) = 2.4\pi\), hence:

\(f(l) = 2\pi\frac{l}{32}\)

\(2.4\pi = 2\pi\frac{l}{32}\)

l = 32 x 1.2

l = 38.4 ft.

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Answer:

c

Step-by-step explanation:

just did it

Always that you multiply a number by 1 you will obtain the same number

1 × 64=64

for example

1 × 5= 5

1 × 10=10

1 × 7=7

Answer:

1 x 64 = 64

Step-by-step explanation:

Anything multiplied by 1 is itself

Examples:

1 x 3 = 3

1 x 143 = 143

1 x 9849357369 = 9849357369

1 x 0 = 0

Therefore, the possible lengths of the third side (x) range from 10 to 19 inches.

The sum of the three lengths of a fence can be written as:

9 + 12 + x

The given range for the sum is from 31 to 40 inches, so we can write the compound inequality as:

31 ≤ 9 + 12 + x ≤ 40

Simplifying, we have:

31 ≤ 21 + x ≤ 40

Subtracting 21 from all sides, we get:

10 ≤ x ≤ 19

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The area of the new triangle is 18 squared cm, which is half of the original area due to the scale factor of 0.5.

A dilation is a transformation in which a shape is enlarged or reduced in size by a given scale factor. In this case, a triangle with an area of 36 squared cm has been dilated with a scale factor of 0.5. This means that the size of the triangle has been reduced by half, resulting in a new triangle with an area of 18 squared cm. The scale factor of 0.5 is the ratio of the lengths of the sides of the new triangle to the lengths of the corresponding sides of the original triangle. This means that the perimeter of the new triangle will also be reduced by half, since the perimeter is the sum of the lengths of the sides. Therefore, the perimeter of the new triangle is 8 cm, which is half of the original perimeter.

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The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.

The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.

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The area Martin paints on the piece of wood can be determined by subtracting the area of the triangle hole from the total area of the wood. The triangle hole's area can be calculated using the formula for the area of a triangle, while the total area of the wood is the area of the original rectangular shape.

To find the area Martin paints on the wood, we need to calculate the area of the triangle hole and subtract it from the total area of the wood. The area of a triangle can be calculated using the formula: A = 0.5 * base * height, where base and height are the dimensions of the triangle.

Let's assume the base of the triangle hole is 'b' units and the height is 'h' units. Therefore, the area of the triangle hole would be A_triangle = 0.5 * b * h.

Now, let's consider the original rectangular piece of wood. Assuming its length is 'L' units and width is 'W' units, the total area of the wood is A_wood = L * W.

To find the area Martin paints, we subtract the area of the triangle hole from the total area of the wood: A_painted = A_wood - A_triangle.

By calculating the values of A_wood and A_triangle based on the dimensions of the wood and the triangle hole, we can determine the exact area that Martin paints on the piece of wood.

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Answer:

Step-by-step explanation:

\(2*(3+4x) *2 -5\\6+8x*2-5\\16x =-6-5\\16x = -11\\x = 11/16\)

Answer:

x = 14

m∠A = 38°

m∠C = 71°

m∠D = 71°

Step-by-step explanation:

Answer:

AC=AD=71, CD=38

Step-by-step explanation:

AC=AD

5x+1=7x-27

2x=28

x=14

AC=5*14+1=71=AD

CD=3*14-4=38

The area of the pentagon with vertices (0, 0), (3, 1), (1, 2), (0, 1), and (-2, 1) is 6 square units.

To find the area of a pentagon given its vertices, we can divide it into triangles and then calculate the area of each triangle separately.

Let's label the given vertices as A(0, 0), B(3, 1), C(1, 2), D(0, 1), and E(-2, 1). We can divide the pentagon into three triangles: ABD, BCD, and CDE.

To calculate the area of a triangle, we can use the shoelace formula. Let's apply it to each triangle:

Triangle ABD: Coordinates: A(0, 0), B(3, 1), D(0, 1)

Area(ABD) = |(0 * 1 + 3 * 1 + 0 * 0) - (0 * 3 + 1 * 0 + 1 * 0)| / 2

= |(0 + 3 + 0) - (0 + 0 + 0)| / 2

= |3 - 0| / 2

= 3 / 2

= 1.5 square units

Triangle BCD: Coordinates: B(3, 1), C(1, 2), D(0, 1)

Area(BCD) = |(3 * 2 + 1 * 0 + 0 * 1) - (1 * 1 + 2 * 0 + 3 * 0)| / 2

= |(6 + 0 + 0) - (1 + 0 + 0)| / 2

= |6 - 1| / 2

= 5 / 2

= 2.5 square units

Triangle CDE: Coordinates: C(1, 2), D(0, 1), E(-2, 1)

Area(CDE) = |(1 * 1 + 2 * 1 + (-2) * 0) - (2 * 0 + 1 * (-2) + 1 * 1)| / 2

= |(1 + 2 + 0) - (0 - 2 + 1)| / 2

= |3 - (-1)| / 2

= 4 / 2

= 2 square units

Now, we can sum up the areas of the three triangles to find the total area of the pentagon:

Total area = Area(ABD) + Area(BCD) + Area(CDE)

= 1.5 + 2.5 + 2

= 6 square units

Therefore, the area of the pentagon with vertices (0, 0), (3, 1), (1, 2), (0, 1), and (-2, 1) is 6 square units.

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Answer: 0.03, 0.243, 0.3, 0.42, 0.5

Step-by-step explanation:

Hope this helps you!

Answer:

Step-by-step explanation:

0.243, 0.03, 0.3, 0.42, 0.5

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The sides marked on the triangle are adjacent to and opposite the given angle. The mnemonic SOH CAH TOA is intended to remind you which trig functions relate which sides. The one applicable here is TOA:

  Tan = Opposite/Adjacent

Using the values on the diagram, we have ...

  tan(65°) = 18/y

Multiplying by y/tan(65°) gives ...

  y = 18/tan(65°)

  y ≈ 8.3935 ≈ 8.4

Answer:

1 cm = 16.5 m

1 m = 1 : 16.5 = 0.060606 cm

480 * 0.060606 = 29.09088 cm ( on the scale drawing )

B :

1.5 in = 0.5 ft

6 ft = 0.5 ft * 12

12 * 1.5 in = 18 inches

Step-by-step explanation:

A translation of the sentence "The difference of twice a number and 5 is at least - 25." is 2n - 5 ≥ -25.

In order to translate a word problem into an algebraic expression, we would have to assign a variable to the unknown number:

Let the variable x represent the unknown number.

By translating the word problem into an algebraic expression, we have the following;

The difference of twice a number and 5: 2n - 5

At least means greater than or equal to (≥); 2n - 5 ≥ -25

Next, we would collect like-terms and rearrange the expression as follows;

2n - 5 ≥ -25

2n ≥ -25 + 5

2n ≥ -20

n ≥ -10

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5+(-18x+15)5 + (-18x +15)5

5+ (-90x +75) + (-90x + 75)

-180x +155

let's see the alternatives:

a) -2000x - 2018 -> -200x - 201,8

b) -30x - 33 -> -180x -198

c) none of the above

so, c is the right one

hope it helps :)

Answer:

ITS C

Step-by-step explanation:

The domain over which the bacteria population Increases is \(d \ge 3\)

The function is given as;

\(d = \sqrt{5.2d - 15.6} + 2\)

Set the radicand greater than or equal to 0

\(5.2d - 15.6 \ge 0\)

Add 15.6 to both sides

\(5.2d \ge 15.6\)

Divide both sides by 5.2

\(d \ge 3\)

Hence, the domain over which the bacteria population Increases is \(d \ge 3\)

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Without having to raise funds externally sales could increase by $84,507.04.

Given that $4 million sales in 2021 and in end of the year total assets are $3.2, current liabilities are $500,000, payable notes are $200,000, accounts payable is $200,000 and accrued liabilities are $100,000 and in 2022 assets must increase by $.80 for every $1.00 increase in sales.

The amount of sales increase that the company can achieve without having to raise funds externally is calculated by multiplying the current year sales with the self-supporting growth rate.

Current Year Sales = $4,000,000

Profit Margin = 3.00%

Dividend Payout Ratio = 50%

Therefore, the Retention Ratio = 50%

Total Spontaneous Liabilities is, $200,000 + $100,000=$300,000

Last Year Total Assets = $3,200,000

Therefore, the Self-supporting Growth Rate=Addition to Retained Earnings÷[Total Assets–Total Spontaneous Liabilities-Addition to Retained Earnings]

= [Last year sales×Profit Margin×(1-Dividend Payout Ratio)]÷[Total Assets-Total Spontaneous Liabilities-Addition to Retained Earnings]

= [$4,000,000×0.03×(1–0.50)]÷[$3,200,000-$300,000–{[$4,000,000×0.04×(1–0.050)}]

= $60,000÷[$3,200,000-$300,000-$60,000]

= $80,000÷$2,840,000

= 0.02112676 or 2.112676%

Therefore, the increase in sales that the company can achieve without having to raise funds externally = Last Year Sales×Self-supporting Growth Rate

= $4,000,000×2.112676%

= $84,507.04

Hence, the Increase in Sales so the company achieve without having to raise funds externally $84,507.04”

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