The radius of a circle is 2 millimeters. What is the circle's circumference?

Answer:

  [A]  Multiply the bottom equation by -3/2, then add the equations.

  [C]  Multiply the top equation by -3, then add the equations.

Step-by-step explanation:

You want to know a suitable "elimination" strategy for the two equations ...

The result of an elimination strategy is that one of the variables in the combined equations has a coefficient of 0. If we add the equations as a final step, the coefficients must be opposites for that to happen.

The ratios of variable coefficients in the top equation to those in the bottom equation are ...

A suitable elimination strategy will multiply one of the equations by a value that makes this ratio -1. Let's look at the choices.

Multiplying the bottom equation by -3/2 makes the ratio of x-coefficients be ...

  \(\dfrac{1}{3}\times\dfrac{1}{\left(-\dfrac{3}{2}}\right)}=-\dfrac{2}{9}\ne -1\)

Multiplying the bottom equation by -3/2 makes the ratio of y-coefficients be ...

  \(\dfrac{3}{2}\times\dfrac{1}{\left(-\dfrac{3}{2}\right)}=-\dfrac{6}{6}=-1\)

This is a suitable strategy for eliminating the y-variable.

This strategy is equivalent to multiplying the bottom equation by -3, then adding. This will make the x-coefficient ratio be ...

  \(\dfrac{1}{3}\times\dfrac{1}{\left(-3}\right)}=-\dfrac{1}{9}\ne -1\)

Multiplying the bottom equation by -3 makes the ratio of y-coefficients be ...

  \(\dfrac{3}{2}\times\dfrac{1}{-3}=-\dfrac{3}{6}\ne-1\)

Not a suitable strategy for elimination.

Multiplying the top equation by -3 makes the ratio of x-coefficients be ...

  \(\dfrac{1}{3}\times\dfrac{-3}{1}}=-\dfrac{3}{3}= -1\)

This is a suitable strategy for eliminating the x-variable.

Choices A and C are suitable strategies for eliminating a variable.

Answer:

2 hours and 5 minutes

Step-by-step explanation:

12:40 - 10:35 = 2:05 (2 hours and 5 minutes)

Answer:

Step-by-step explanation:

-1/4 x 20z = -5z

24 x -1/4 = -6

So we have -5z-6. So the expression equivalent to 1/4(20z+24) is -5z-6.

Answer:

90.

Step-by-step explanation:

If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.

As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.  

So x = 1/6(2x + 60)

x = 1/3x + 10

2/3 x = 10

x = 10*3/2 = 15.

So the total number of people = 2(15) + 60 = 90.

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer:

\( \frac{7}{16} \)

Step-by-step explanation:

1/4 is equal to 4/16

4/16 + 3/16 = 7/16

Answer:

\(\frac{7}{16}\)

Step-by-step

1/4 + 3/16

16+4 ·/4·3

16 + 12/ 4 · 6

28/4· 16

= 7/16

Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

Answer:

Option (D)

Step-by-step explanation:

Endpoints of the sides of any polygon are called as vertices. Any polygon is named by its vertices either in a consecutive order either clockwise or counterclockwise.

In the picture attached,

Vertices of the triangle or endpoints of the sides of the polygon are A, T and X.

Therefore, we can name this triangle as ΔATX, ΔTXA, ΔXAT or ΔXTA, ΔAXT, ΔTAX.

Option (D) will be the answer.

Answer:

d

Hope this help :)

Answer:

The answer is (a²+1)(2a+1)

Answer:

B

Step-by-step explanation:

Bc dont take my word repost this

The given function in a quadratic function in standard form where

a = -0.001, b = 3, and c = -1800

It is a parabola that is facing downwards, therefore, the vertex of this parabola, (x,y) is the maximum of the function where

x is the amount of books that the author must sell for the most profit, and

y is the max profit per day.

We can find the vertex using

Substitute the following values, and we get

Now that we have x, plug it in the original function to solve for y

We have determine that the vertex of the function is at (1500,450). We can now conclude that

The max profit per day is $450.

The amount of of books the author must sell for the most profit is 1500 books.

Answer:

ASA

Step-by-step explanation:

Angle Side Angle

As two lines are parallel, alternate interior angles are congruent and the side between these angles are common for both triangles

The mathematical expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power is negative two raised to the sixth power divided by negative two raised to the fourth power; option D.

A mathematical expression is an expression which uses mathematical symbols and mathematical operations to represent an idea.

Two mathematical expressions are equivalent if they have the same value

The expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power can be written as (-2)⁴/(-2)² = 2²

An equivalent expression is negative two raised to the sixth power divided by negative two raised to the fourth power written as : (-2)⁶/(-2)⁴ = 2²

In conclusion, two mathematical expressions are equivalent if they have the same value when fully expressed.

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The counterexample to the conjecture is z = 11.5 cm.

Option D is the correct answer.

We have,

To determine whether the given conjecture is true or false, we need to check whether a quadrilateral can always be formed with side lengths of 3 cm, 4 cm, 3 cm, and z, where z can be any value between 1 cm and 12 cm.

The only way for a quadrilateral to be formed with these side lengths is if the sum of the lengths of any three sides is greater than the length of the fourth side.

In other words:

3 + 4 + 3 > z

or

z < 10

Therefore, any value of z that is greater than or equal to 10 cm would be a counterexample to the conjecture.

Out of the given values of z:

z = 2 cm satisfies the condition z < 10, so it does not provide a counterexample.

z = 7 cm satisfies the condition z < 10, so it does not provide a counterexample.

z = 8.5 cm satisfies the condition z < 10, so it does not provide a counterexample.

z = 11.5 cm does not satisfy the condition z < 10, so it provides a counterexample.

Therefore,

z = 11.5 cm does not satisfy the condition z < 10, so it provides a counterexample.

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x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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If he gives ninety-three centimeters of the rope to his brother, Ravi has 132 centimeters of rope left.

Two and one-fourth meters of rope can be written as 2.25 meters. Since 1 meter is equal to 100 centimeters, we can convert 2.25 meters to centimeters by multiplying it by 100, giving us 225 centimeters.

If Ravi gives 93 centimeters of the rope to his brother, we can subtract it from the original length to find how much rope he has left.

225 cm - 93 cm = 132 cm

In general, to convert between meters and centimeters, you can multiply the number of meters by 100 to get the length in centimeters. To convert between centimeters and meters, you can divide the number of centimeters by 100 to get the length in meters.

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The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Answer:

the answer 1.25

Step-by-step explanation:

i think sorry if im wrong.

90 divided by 72 = 1.25

Answer:

The answer is 1.25

Answer:

I think the answer is 10 square units

The following are some examples of irrational numbers from the list:

B. the square root of the number 7.

E. 8.070070007..

Numbers that cannot be represented by fractions are referred to as irrational numbers. Some examples of irrational numbers are non-exact roots, non-terminating decimals, and non-repeating decimals.

In relation to this issue, the following are examples of irrational numbers from the list:

B. the root squared of 7, even if it is not an exact root.

E. 8.070070007, since it is a decimal that does not repeat itself and does not terminate.

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Answer:

about 135 degrees

Answer: It’s B

Step-by-step explanation:

STREAM EXPENSIVE BY NICKI MINAJ !

Answer:

2 to the 1/6 th power

Step-by-step explanation:

square root = 1/2

Cube root = 1/3

so 1/3 x 1/2= 1/6

can i please have brainlest

Answer:

2 to the 1/6 th power

Step-by-step explanation:

square root = 1/2

Cube root = 1/3

so 1/3 x 1/2= 1/6

can i please have brainlest

Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.

The probability mass function for the binomial distribution is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.

Plugging in the values, we get:

P(X=2) = (11 choose 2) * 0.3² * 0.7²

= (55) * 0.09 * 0.02825

= 0.1402

Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).

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Answer:

1/4

Step-by-step explanation:

The combinations where both numbers are even are:

2, 2

2, 4

2, 6

4, 2

4, 4

4, 6

6, 2

6, 4

6, 6

There's a total of 9 combinations.  So the probability is 9/36 = 1/4.

Answer:

It is 2707.1209

Step-by-step explanation:

Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.

Let:

l = length of the rectangle

w = width of the rectangle

"The length of a rectangle is nine more than triple the width" can be translated as:

l = 9 + 3w

perimeter = 2 l + 2w

Substitute perimeter = 98 and  l =  9 + 3w into the perimeter equation:

98 = 2 x (9 + 3w) + 2w

98 = 18 + 8w

8w = 98 - 18

8w = 80

w = 80/8 = 10 inch.

Substitute w = 10 into the length equation:

l = 9 + 3w

l = 9 + 3 x 10

l = 9 + 30 = 39

Therefore the correct answer is:

The width is _10_inches. The length is 39 inches.

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