The ratio of a circle radius to its diameter is always 1 to 2. In math class, Russell uses his compass to draw a circle with a radius of 6 centimeters. What is the diameter of the circle Russell drew?

Answer:

5x - 11

Step-by-step explanation:

Step 1: Write out expression

2(x + 8) + 3(x - 9)

Step 2: Distribute

2x + 16 + 3x - 27

Step 3: Combine like terms (x)

5x + 16 - 27

Step 4: Combine like terms (constants)

5x - 11

Answer: B. (0,-10)

(I got it right in the exam review.)

Answer:

The answer is B.

Step-by-step explanation:

Answer:

complete the question please

Step-by-step explanation:

Answer:

(x - 1) (x + 3) (x + 5)

Step-by-step explanation:

The constant at the end (-15) can only be factored into 1, 3 and 5, assuming integers. Then, you only have to choose which one of these gets the minus sign.

I'm not sure if this approach will work in general, but it works for this one.

Answer: Answer: 2000 was invested into 6%, 5000 was invested Into 8%

Step-by-step explanation:

8% of 5000 = 400

6% of 200 = 120

The coordinates of point P are (7,1). What are the coordinates of the image of P after R90° about the origin

Answer: (-1,7)

The coordinates of the image of the point P(7, 1) after 90° rotation about the origin is P'(-1, 7).

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

One of the transformation is Rotation.

Rotation is the type of transformation where the image is the resultant of transformation made by rotation to a certain degree.

A point (x, y) when rotated 90° counterclockwise results in another point (-y, x).

Here the given point is (7, 1).

After rotation through 90°, the point is (-1, 7).

Hence the image has the coordinates (-1, 7).

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Step-by-step explanation:

The width of each interval is Δx = (4−1)/6 = 1/2.

a) Evaluate the function at the beginning and end of each interval.

f(x) = 7√(ln x)

f(1) = 7√(ln 1) = 0

f(1.5) = 7√(ln 1.5) ≈ 4.4573300

f(2) = 7√(ln 2) ≈ 5.8278823

f(2.5) = 7√(ln 2.5) ≈ 6.7006153

f(3) = 7√(ln 3) ≈ 7.3370295

f(3.5) = 7√(ln 3.5) ≈ 7.8348826

f(4) = 7√(ln 4) ≈ 8.2418702

Calculate the area of each trapezoid.

T₁ = ½ (0 + 4.4573300) (1/2) = 1.1143325

T₂ = ½ (4.4573300 + 5.8278823) (1/2) = 2.5713031

T₃ = ½ (5.8278823 + 6.7006153) (1/2) = 3.1321244

T₄ = ½ (6.7006153 + 7.3370295) (1/2) = 3.5094112

T₅ = ½ (7.3370295 + 7.8348826) (1/2) = 3.7929780

T₆ = ½ (7.8348826 + 8.2418702) (1/2) = 4.0191882

The total area is therefore:

T = 1.1143325 + 2.5713031 + 3.1321244 + 3.5094112 + 3.7929780 + 4.0191882

T = 18.139337

b) Evaluate the function at the midpoint of each interval.

f(1.25) = 7√(ln 1.25) ≈ 3.3066651

f(1.75) = 7√(ln 1.75) ≈ 5.2365230

f(2.25) = 7√(ln 2.25) ≈ 6.3036165

f(2.75) = 7√(ln 2.75) ≈ 7.0404861

f(3.25) = 7√(ln 3.25) ≈ 7.5996115

f(3.75) = 7√(ln 3.75) ≈ 8.0477348

Calculate the area of each rectangle.

M₁ = (3.3066651) (1/2) = 1.6533325

M₂ = (5.2365230) (1/2) = 2.6182615

M₃ = (6.3036165) (1/2) = 3.1518082

M₄ = (7.0404861) (1/2) = 3.5202431

M₅ = (7.5996115) (1/2) = 3.7998057

M₆ = (8.0477348) (1/2) = 4.0238674

The total area is therefore:

M = 1.6533325 + 2.6182615 + 3.1518082 + 3.5202431 + 3.7998057 + 4.0238674

M = 18.767318

c) Simpson's rule can be calculated as:

S₆ = Δx/3 [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + 2f(x₄) + 4f(x₅) + f(x₆)]

S₆ = (1/2)/3 [0 + 4(4.4573300) + 2(5.8278823) + 4(6.7006153) + 2(7.3370295) + 4(7.8348826) + 8.2418702]

S₆ = 18.423834

The least possible number of matches played when 4 players are left is 37 matches.

The given parameters;

The least possible number of matches played when 4 players are left is calculated as;

117 - 1(3n) = 4

117 - 3n = 4

3n = 117 - 4

3n = 113

divide both sides by 3

[tex]n = \frac{113}{3} \\\\n = 37.67 \\\\n \approx 37 \ matches[/tex]

Thus, the least possible number of matches played when 4 players are left is 37 matches.

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Answer:

-27 - 6y

Step-by-step explanation:

Answer:

2 cartons of eggs and 3 bags of English muffins

Step-by-step explanation:

2x12 = 24 and 3x8= 24

Answer:

-55 + 275

Step-by-step explanation:

You add the total earned to the expenses. The expenses are a negative integer.

-55 + 275

Answer:

False

Step-by-step explanation:

Absolute value is always positive no matter what you do.

I have attached an image for you so you can understand it better.

Hope I helped!

The difference in speed is 45-30 = 5 centimeters per second.

5 centimeters per second x 3 seconds = 15 centimeters.

They were 15 centimeters apart

Answer:555

Step-by-step explanation:558 +3

Answer:

Isnt it 12? the first rectangle says 2 on one side and 6 on another. The rectangle didn't change shape, but position.

Am I right??

Answer:

1000 (one thousand)

Step-by-step explanation:

Answer:

5,000,000/5,000 = 1000

Step-by-step explanation:

Take 5 million and divide by 5 thousand like so and you'll come out with 1000. Also, this is an easy one to plug into a calculator.

Answer:

c-179.18

Step-by-step explanation:

hope this helps

Answer: 315 miles

Step-by-step explanation:

let onward speed = x mph, then distance = 7x

return speed = (x+18) mph, (same) distance = 5(x+18)

equating the two,

7x = 5(x+18)

2x = 90 ==> x = 45 mph

so distance = 7*45 = 315 miles

Answer:

108/9 needs to be raised to the power of 0

Step-by-step explanation:

Any number that has an exponent of 0 equals 1.  So:

(108/9)^0x10=10

Answer:

C and F

Step-by-step explanation:

Those two just work, that simple

Answer:This graph parabola is not a function

Answer:

First question is B

Second question is also B :)

Step-by-step explanation:

If the function is translated 2 units down and 1 unit to the left. Then the function will be f(x) = |x + 1| - 2

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The function is f(x) = |x|.

If the function is translated 2 units down and 1 unit to the left. Then the function will be

f(x) = |x + 1| - 2

The graph is shown below.

More about the function link is given below.

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Answer:

y=3/4x+−7/4

Step-by-step explanation:

Step 1: Flip the equation.

4y+5=3x−2

Step 2: Add -5 to both sides.

4y+5+−5=3x−2+−5

4y=3x−7

Step 3: Divide both sides by 4.

4y4=3x−74

Answer:

   3x^2

 ———

 28

Step-by-step explanation:

1 .             x^2

Simplify   ——

           7

2.  3   x2

 — • ——

 4   7

3.            3

Simplify   —

           4

4.3   x2

 — • ——

 4   7

Answer:

60%

Step-by-step explanation:

NWEA2020 Mom Helped Meh

Answer:

60%

Step-by-step explanation:

Im good with a scientific calulator.

Answer:

0.9876

Step-by-step explanation:

Given a normal distribution :

Mean(m) of distribution = 5V

Standard deviation (sd) = 0.02 V

Lower voltage specification = 4.95

Upper voltage specification = 5.05

Using the Zscore formula :

(x - m) / sd

x = 4.95

(4.95 - 5) / 0.02

-0.05 / 0.02 = -2.5

P(Z ≤ -2.5) = 0.0062

x = 5.05

(5.05 - 5) / 0.02

0.05 / 0.02 = 2.5

P(Z ≤ 2.5) = 0.9938

P(Z ≤ 2.5) - P(Z ≤ -2.5)

0.9938 - 0.0062 = 0.9876

Answer: Your answer should be -0.9

Step-by-step explanation:

You just multiply the numbers in the exact order it is in