Geometric mean of 4 and 64

The perimeter of the rectangular community garden, after the size has been altered by a factor of 20, is 130 feet.

In two-dimensional shapes, a perimeter is defined to be a closed path that surrounds or outlines a shape. The perimeter of a circle or an ellipse though is called the circumference.

The perimeter P of a rectangle is equal to two times the length l plus two times the width w [P = 2(l + w)]. The length and the width of the rectangular community garden are consecutively 2,25 and 1 feet, and the scale factor is 20.

Therefore, the perimeter of the community garden is

P = 2(l + w) · 20

P = 2(2,25 + 1) · 20

P = 6.5 · 20

P = 130 feet.

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Answer:

130 feet

Step-by-step explanation:

The solution to the system and the solution that fills the blank space is (6, 1)

This are also known as a set of simultaneous equations, also known as a system of equations which is a finite set of equations for which common solutions

Given the following system of equations

2y − x = 8, and

y − 2x = −5.

From equation 2;

y = -5 + 2x ............. 3

Substitute equation 2 into equation 1 to have:

2(-5+2x) - x = 8

Expand to have:

-10 +4x -x = 8

-10 + 3x = 8

3x = 8 + 10

3x = 18

Divide both sides

by 3

3x/3 = 18/3

x = 6

Substitute x = 6 into equation 3

y = -5 + 2x

y = -5 + 2(3)

y = -5 + 6

y = 1

Hence the solution to the system and the solution that fills the blank space is (6, 1)

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Answer:

Its D (6,7)

Step-by-step explanation:

The age of the decaying sample according to the decay formula is 42,009 years.

The rate of radioactive carbon-14 decay depends on the function

\(A(t) = A_{0} e^{-0.0001216t}\)

where \(A_{0}\) is the quantity found in living plants and animals, t is in years, and is the age.

60% of the carbon-14 of a current-day sample was present in a sample taken from a refuse deposit close to the Strait of Magellan. We need to evaluate the age of the sample,

A = 60 % of \(A_{0}\) = (3/5)\(A_{0}\)

Putting this in the decay equation, we have,

\(\frac{3}{5} A_{0} = A_{0} e^{-0.0001216t}\\\\ 0.6= e^{-0.0001216t}\\ \\ln0.6 = -0.00001216t\\\\-0.51082 = -0.00001216t\\\\t = 42,008.68\)

Thus, the age of the sample is 42,009 years.

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Required base of the triangle is 6 ft.

What is the area of triangle?

The area of a triangle can be calculated using the formula:

Area = (base × height) / 2

where the base and height of the triangle are perpendicular to each other.

Alternatively, if you know the length of all three sides of the triangle, you can use Heron's formula to calculate the area:

Area = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle (i.e. half the perimeter) and a, b, and c are the lengths of the three sides.

To find the base of the given triangle when the area and height are given, we can use the formula:

Area = 1/2 x base x height

We are given that the area of the triangle is 24 ft² and the height is 8 ft². Substituting these values into the formula, we get:

24 = 1/2 x base x 8

Multiplying both sides by 2/8, we get:

base = 6

Therefore, the base of the triangle is 6 ft.

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Correct question is "The area of the triangle is 24 ft² and height of the triangle is 8 ft². Find base of the triangle?"

Let A be the number of adults and C be the number of children. We know that A + C = 500 and 2A + C = 780. Solving for A, we get A = 260.

To solve this problem, we use a system of equations with two variables: A and C. From the problem, we know that the total number of people who attended the play was 500.

We also know that the admission price for adults was $2 and for children was $1. Finally, we know that the total admission receipts were $780.

Using this information, we can set up two equations: A + C = 500 (equation 1) and 2A + C = 780 (equation 2). We can then solve for A by eliminating C. Subtracting equation 1 from equation 2, we get A = 260. Therefore, there were 260 adults who attended the play.

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The method that cannot be used to show congruency of two triangles is the method of "angle-angle-angle" (AAA).

The AAA method states that if the corresponding angles of two triangles are congruent, then the triangles themselves are congruent. However, this method is not valid for proving congruency because it does not take into account the lengths of the sides of the triangles.

To prove congruency, we typically use one of the following valid methods:

Side-Side-Side (SSS): If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent.

Side-Angle-Side (SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Side-Angle-Angle (SAA): If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are not necessarily congruent. This method alone is not sufficient to prove congruency.

Therefore, the method that cannot be used to show congruency of two triangles is the Angle-Angle-Angle (AAA) method.

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The expression for the total miles Thema ran in two weeks will be 8m-3.5 miles.

what are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

As given last week Thema ran=4m-2 miles

this week thema ran=4m-2+0.5 miles

Hence,

expression for the total number of miles Thema ran in the two weeks will be 4m-2+4m-1.5

=8m-3.5 miles

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Answer:

x = 1 and y = -8/3

step-by-step explanation:

solve for x

\(\sf 6x+3\left(\frac{4}{3}x-4\right)=-2\)

\(\sf 6x+4x-12=-2\)

\(\sf \rightarrow 10x = -2 +12\)

\(\sf \rightarrow 10x = 10\)

\(\sf \rightarrow x = 1\)

solve for y

\(\hookrightarrow \sf y = \frac{4}{3} x-4\)

\(\hookrightarrow \sf y = \frac{4}{3} (1)-4\)

\(\hookrightarrow \sf y=-\frac{8}{3}\)

Answer:

x=1 and y=-8/3

Step-by-step explanation:

The easiest way to solve this is by substitution because the first equation is already in slope-intercept form.

First, take y= 4/3x -4 and substitute it into the second equation as follows: 6x + 3(4/3x -4) = -2

Next, simplify that equation to get 6x + 12/3x -12 = -2.

After that, combine all like values: 10x - 12 = -2.

Finally, add 12 to each side and divide by 10 to get x=1.

To find the y-value, substitute x=1 into either equation and solve for x (I'm choosing the first equation). y= 4/3(1) -4

In order to make simplifying this easier, I find that -4 = -12/3.

Finally, simplify: y= 4/3 - 12/3 = -8/3.

The solution to the system of equations is (1, -8/3), or x=1 and y=-8/3.

 c- To calculate the probability that a subscriber rented a car during the past 12 months for only business reasons, you need to know the total number of subscribers who rented a car for any reason during the past 12 months and the total number of subscribers who rented a car for only business reasons during the past 12 months.

The probability is then equal to the number of subscribers who rented a car for only business reasons during the past 12 months divided by the total number of subscribers who rented a car for any reason during the past 12 months.

d- To calculate the probability that a subscriber rented a car during the past 12 months for only one reason, you need to know the total number of subscribers who rented a car for any reason during the past 12 months and the total number of subscribers who rented a car for only one reason during the past 12 months.

The probability is then equal to the number of subscribers who rented a car for only one reason during the past 12 months divided by the total number of subscribers who rented a car for any reason during the past 12 months.

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To inscribe a regular hexagon in a circle, and then an equilateral triangle in a circle, follow these steps:

Step 1: Inscribing a Regular Hexagon in a Circle

Draw a circle with the desired radius. This will be the circumscribed circle of the regular hexagon.

Step 2: Marking the Vertices of the Hexagon

Using a compass, place the compass needle at the center of the circle and draw an arc that intersects the circumference of the circle. This arc will mark one vertex of the hexagon.

Now, without changing the compass width, place the compass needle at the intersection point on the circumference and draw another arc inside the circle. Continue this process until you have marked six points around the circumference of the circle. These points will be the vertices of the regular hexagon.

Step 3: Connecting the Vertices

Connect each consecutive pair of vertices with straight lines to form the sides of the regular hexagon. You should end up with a hexagonal shape inscribed within the circle.

Step 4: Inscribe an Equilateral Triangle in the Same Circle

To inscribe an equilateral triangle, use the same circle that was used for the hexagon.

Step 5: Finding the Center of the Circle

Connect any two non-adjacent vertices of the hexagon with a straight line. The point where these lines intersect is the center of the circle.

Step 6: Drawing the Equilateral Triangle

With the compass set to the radius of the circle, place the compass needle at one of the vertices of the hexagon and draw an arc that intersects the other two vertices. Repeat this process for the remaining vertices of the hexagon.

Step 7: Connecting the Arc Intersections

Connect the points where the arcs intersect to form the sides of the equilateral triangle. You should now have an equilateral triangle inscribed within the same circle that contains the hexagon.

By following these steps, you can successfully inscribe a regular hexagon and an equilateral triangle in a circle.

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Answer:

4, 1, and 1/8

Step-by-step explanation:

If I am correct, the x is being raised as an exponent.

Since the x-values are already given, we can plug them into the function.

If x= - 2, then \((\frac{1}{2} )^{-2} = 4\\\)

Anything raised to 0 is 1, so when x=0, y=1.

If x=3, then \((\frac{1}{2})^3 = 1/2*1/2*1/2 = 1/8\)

Therefore, the correct answers are:

(-2, 4)  (0, 1)  (3, \(\frac{1}{8}\) )

Answer:

1.1. 3(2a-7)

1.2. 3x(2x+3)

Step-by-step explanation:

Put the common factor on the outside of the parentheses.

1.1. 6a-21

The lowest common factor for 6a and -21 is 3.

     3(2a-7)

1.2. \(6x^{2} +9x\)

The lowest common factor for \(6x^{2}\) and 9x is 3x.

      3x(2x+3)

Answer:

300 euros

Step-by-step explanation:

1200 x 5 x 5=30000/100=300

Answer:

£1531.53

Step-by-step explanation:

Times 1200 by 1.05 then times the new answer by 1.05 until done 5 times

The 5th term of the sequence defined by the formula Tn=2n^2−5n+1 is 26.

The given sequence is defined by the formula Tn = 2n^2 - 5n + 1, where n is the term number in the sequence. To find the 5th term of this sequence, we need to substitute n = 5 in the formula and simplify:

T5 = 2(5)^2 - 5(5) + 1

= 2(25) - 25 + 1

= 50 - 25 + 1

= 26

Therefore, the 5th term of the given sequence is 26. We can verify this by finding the first five terms of the sequence by substituting n = 1, 2, 3, 4, and 5 in the formula:

T1 = 2(1)^2 - 5(1) + 1 = -2

T2 = 2(2)^2 - 5(2) + 1 = 3

T3 = 2(3)^2 - 5(3) + 1 = 10

T4 = 2(4)^2 - 5(4) + 1 = 17

T5 = 2(5)^2 - 5(5) + 1 = 26

Therefore, the 5th term of the sequence is 26, as we obtained earlier.

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Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

The probability that two out of three sets will go to tiebreakers ≈ 0.061

To calculate the probability that two out of three sets will go to tiebreakers, we need to consider the possible combinations of sets that can have tiebreakers.

There are three possible scenarios where two sets out of three can have tiebreakers:

1. The first two sets go to tiebreakers, and the third set does not.

2. The first and third sets go to tiebreakers, and the second set does not.

3. The second and third sets go to tiebreakers, and the first set does not.

The probability of each scenario occurring can be calculated by multiplying the probability of a tiebreaker (0.14) by the probability of not having a tiebreaker (1 - 0.14 = 0.86) for the remaining set.

1. Probability of scenario 1: (0.14) * (0.14) * (0.86) = 0.020408

2. Probability of scenario 2: (0.14) * (0.86) * (0.14) = 0.020408

3. Probability of scenario 3: (0.86) * (0.14) * (0.14) = 0.020408

To find the probability that any of these scenarios occur, we sum up the probabilities of the three scenarios:

Total probability = 0.020408 + 0.020408 + 0.020408 = 0.061224

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Answer:

456.9 inches

Step-by-step explanation:

We can use the law of sines to find c:

c = (a / sin C) = (270 inches / sin 164°)

To find the sine of an angle in degrees, we can use a scientific calculator or a trigonometry table. Rounding to the nearest 10th of an inch, c = approximately 456.9 inches.

Answer: It's 534.7

Step-by-step explanation:

I sacrificed my chance of getting it right to see the answer. It's right That I guarantee. btw brainiest, please?

Answer:

\(4 {x}^{2} - 23 + 15 \\ \\ 4 {x}^{2} - 20x + 3x + 15 \\ \\ 4x(x - 5) - 3(x - 5) \\ \\ (4x - 3)(x - 5) \)

it's was helpful to you

Answer:

(1) x=5    (2) \(8\sqrt{3}\)    (3) \(4\sqrt{3}\)  (4) x=30

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer: f (-1) = 9

Step-by-step explanation:

You just have to substitute -1 for x

f (-1) = -3 (-1)^2 + 2 (-1) - 5

f (-1) = 3^2 + -2 - 5

f (-1) = 9 - 7

f (-1) = 2

I think I'm correct so I hope this helped!

\(f(-1)=-3.(-1)^{2} +2.(-1)-5\\=\\-3.1+(-2)-5\\-3+(-2)-5\\-5-5=-10\)

Answer:

y=2x+1

Step-by-step explanation:

You use the equation y=mx+b and substitute m for the slope/gradient. Then you use (2,5) to subtitue for y and x. Solve the equation for b. Then you have your slope and b, and you can make your equation from this.

The wrong with following piece of mRNA, TACCAGGATCACTTTGCCA is that it contains T and not U. So, option(D) is right choice here.

Messenger RNA (mRNA) is present in DNA. DNA uses four bases in its code, adenine (A), guanine (G), cytosine (C) and thymine (T). RNA also uses four bases. However, instead of using "T" as DNA, it uses uracil (U). So, if your DNA sequence is 3' T C G T T C A G T 5', the mRNA sequence would be 5' A G C A A G U C A 3'. A strand of DNA is a template strand that has a nucleotide sequence on it that is read by RNA polymerases. Rna polymerase reads the template strand and encodes the m-RNA using the base-pairing rule. According to the rule, adenine pairs with thymine and guanosine with cytosine. So if the template DNA reads TAC GTT ACG, RNA polymerase will read it as AUG CAA UGC. Since no thymine is present in RNA, it will code for U instead of T.

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about -71 degrees Fahrenheit

branliest?

In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is less than or equal to the significance level (alpha).

The p-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of observing the data or more extreme results, assuming that the null hypothesis is true. In a two-tailed test, we are interested in deviations from the null hypothesis in both directions.

Therefore, if the p-value is smaller than the predetermined significance level (usually 0.05), we have sufficient evidence to reject the null hypothesis and conclude that there is a statistically significant difference. Conversely, if the p-value is greater than the significance level, we fail to reject the null hypothesis and do not have enough evidence to conclude a significant difference. It is important to note that the p-value itself does not provide information about the magnitude or practical significance of the observed effect.

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The cost price of the furniture is 2400 Ghana cedis, representing the original price before the 25% profit was added.

To find the cost price of the furniture, we need to work backward from the selling price. The selling price is given as 3000 Ghana cedis, which includes a 25% profit.

Let's assume the cost price is represented by 'x'. Adding a 25% profit to the cost price gives us 1.25x.

We know that the selling price is 3000 Ghana cedis, so we can set up the equation 1.25x = 3000 and solve for x.

Dividing both sides of the equation by 1.25, we find x = 3000 / 1.25 = 2400.

Therefore, the cost price of the furniture is 2400 Ghana cedis. This means that the furniture was originally purchased for 2400 cedis before the 25% profit was added.

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True, The objective function in linear programming is formulated to either maximize or minimize a specific value or quantity.

The goal of linear programming is to optimize this objective function by finding the optimal values for the decision variables within the given constraints. Whether it is maximizing profit, minimizing cost, maximizing production, or minimizing waste, the objective function is designed to achieve the desired optimization outcome.

The objective function in linear programming serves as the goal or target to be achieved. It can involve maximizing profits, minimizing costs, maximizing efficiency, minimizing waste, or any other measurable quantity. The objective function guides the optimization process by defining the objective to be pursued in the linear programming problem.

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Answer:

B. 3/4

Step-by-step explanation:

5/8  Get a common denominator of 24

5/8 *3/3 = 15/24

A. 12/24  this is less than

B. 3/4 *6/6 = 18/24  greater than

C. 15/24  same value so equal to

D.4/12 * 2/ = 8/24  less than

Answer: B. 3/4

Step-by-step explanation:

3/4 = 6/8

6/8 > 5/8

12/24 = 4/8

4/8 < 5/8

15/24 = 5/8

5/8 = 5/8

4/12 = 2.67/8

2.67/8 < 5/8