Write the following decimal in words 12.27

Answer:

C=Circumference

Hope this helps

Answer:

384

Step-by-step explanation:

96+160+128=384

Answer:

y = -1/8

Step-by-step explanation:

3 + 3y = 1 -13y

add 13y to both sides:

3 +3y + 13y = 1

subtract 3 from both sides:

3y + 13y = 1 - 3

16y = -2

divide both sides by 16:

y = -2/16

simplify:

y = -1/8

The amount of natural gas that homeowners can expect to use per month is influenced by various factors, including insulation levels and outdoor temperature.

However, without additional information or an established relationship between these factors, it is not possible to provide a precise estimate.

Insulation levels and outdoor temperature are just a few of the many factors that affect natural gas usage.

Other factors such as the size and efficiency of the heating system, the size and layout of the home, the insulation of walls and windows, and individual usage patterns can significantly impact gas consumption.

To obtain a more accurate estimate, it is recommended to consult energy professionals, utility companies, or use energy consumption calculators specifically designed for estimating natural gas usage based on multiple variables.

These tools take into account various factors to provide a more accurate estimation of monthly natural gas consumption.

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Answer:y+6 = 1/3 (x, -9)

Step-by-step explanation:The equation y+6 = 1/3 (x, -9) is written in point-slope form. What is the equation written in slope-intercept form? The point-slope form of a line that has a slope of -2 and passes through point (5, -2) is shown below. ... The equation y - 2/3 = -2 (x - 1/4) is written in point-slope form.

The Quadratic Factoring solutions to the equation \(2x^2\) + x - 10 = 0 are x = -5/2 and x = 2.

To solve the quadratic equation \(2x^2\) + x - 10 = 0 by factoring or finding square roots, we need to express it in the form (ax + b)(cx + d) = 0, where a, b, c, and d are constants.

Let's try factoring the quadratic equation:

\(2x^2\)+ x - 10 = 0

To factor it, we look for two numbers whose product is ac = 2(-10) = -20 and whose sum is b = 1.

The factors of -20 that add up to 1 are 5 and -4.

So, we can rewrite the equation as:

\(2x^2\) + 5x - 4x - 10 = 0

Now, we group the terms:

(\(2x^2\) + 5x) + (-4x - 10) = 0

Factor out the greatest common factor from each group:

x(2x + 5) - 2(2x + 5) = 0

Now, we can see that we have a common factor, (2x + 5), which we can factor out:

(2x + 5)(x - 2) = 0

To find the solutions, we set each factor equal to zero and solve for x:

2x + 5 = 0 or x - 2 = 0

For 2x + 5 = 0:

2x = -5

x = -5/2

For x - 2 = 0:

x = 2

Therefore, the Quadratic Factoring solutions to the equation \(2x^2\) + x - 10 = 0 are x = -5/2 and x = 2.

So, the correct answer is:

B. 2, -5/2

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Answer:

6. 12cm

7. 11.2 cm

8. 92 degrees

9. 53 degrees

10. 37.5 cm

11. $ 693.12

Step-by-step explanation:

For questions 6-9 the triangle is congurent which means both their angles will be equal.

For the sides you can see that the second triangle is 1.5 times smaller than the first one as taking one of the sides 21/14= 1.5

So for Q. 6 we can multiply side PQ by 1.5.

For Q.7 divide CA by 1.5.

For Q. 10 we can do cross multiplication:

5/4 = x/30

= 150= 4x

= 37.5=x

For Q 11 we can see the size of the paper is 1.9 times bigger than the original one (38/20)

So the shorter side is 30.4 cm.

Then we have to find the area of the paper to multiply the two dimensions and we get 1155.2 square inches.

Then to figure out the money we multiply again and we get $693.12.

Step-by-step explanation:

that only know

Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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Answer:

1/8

Step-by-step explanation:

Hello Human <3

Here is the answer:

X ∈  { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

The first one. Y=3/4

Answer:  choice C

Step-by-step explanation:

sorry if wrong

Answer:

c

Step-by-step explanation:

c

because its c but its c

hello

to solve for x, let's cross multiply both sides

step 2

divide both sides by -2

x = - 6

Answer:

x = -6

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Finding the discriminant

⇒ The discriminant is -27.

⇒ Because the discriminant is less than 0, the two roots are complex.

Answer:

D

Step-by-step explanation:

\(▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ \)

The values of :

The given equations are :

now, let's multiply both the equations with 10 on both sides.

so, now our equations will be :

from Equation second :

now, let's substitute the value of y from here into Equation first.

here, we got the value of x = 2, let's plug it in equation second to find value of y :

And value of y = 3

Answer:

see explanation

Step-by-step explanation:

Since QR is a perpendicular bisector then Δ RST is isosceles

with 2 congruent legs , that is

RT = RS , substitute values

6x - 4 = 3x + 8 ( subtract 3x from both sides )

3x - 4 = 8 ( add 4 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Then RS = 3x + 8 = 3(4) + 8 = 12 + 8 = 20

so RT = RS = 20

Using Pythagoras' identity in right triangle QRT

QT² + QR² = RS²

QT² + 12² = 20²

QT² + 144 = 400 ( subtract 144 from both sides )

QT² = 256 ( take square root of both sides )

QT = \(\sqrt{256}\) = 16

In summary

RS = 12 is False ( RS = 20 )

x = 4 is True

x = 3 is False

QT = 16 is True

The median of the stem-and-leaf plot is 23

there are approximately 34 boys in the introductory geology course.

To determine the number of boys in the introductory geology course, we need to calculate the ratio of boys to girls and use the total number of students enrolled.

The given ratio states that there are six boys for every five girls. This can be expressed as 6 boys : 5 girls.

Let's assume the number of boys in the course is represented by B and the number of girls is represented by G.

According to the given information, we can set up the following equation:

6 boys / 5 girls = B / G.

Since the total number of students enrolled in the course is 374, we can write another equation:

B + G = 374.

To solve these equations simultaneously, we can use the concept of proportion.

From the first equation, we can rewrite it as:

6G = 5B.

Now we can substitute this expression into the second equation:

B + G = 374

5B + 6B = 374

11B = 374

B = 374 / 11

B ≈ 34.

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The Height of the frame having area of 560cm² is 50cm.

By splitting a rectangle into two equal-sized right triangles, the formula for calculating the area of a rectangle may be obtained. For instance, a diagonal is drawn from vertex A to vertex C in the rectangle ABCD that is supplied.

The rectangle is split into two identical right-angled triangles by the diagonal AC.

(ABCD) Area = b × h

Given,

The area of the frame = 560cm²

Width of the frame = 11 1/5

Length = ?

Area of the rectangle = Length × Breadth

560 = 11 1/5 × L

⇒ L = 560 × 5/56

⇒ L = 50cm

The frame is 50cm tall.

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Correct question -

Claire is making a frame to display a drawing she made. The frame is 11 1/5 cm wide. The frame has a rectangular shape and an area of 560cm². How tall is the frame?

The equation of the parabola is y = x² + 6x + 8.

The primary distinction between the two forms is that the vertex form informs us of the parabola's vertex while the standard form informs us of the quadratic equation's coefficients.

We can finish the square to change a parabola from standard form to vertex form. If the equation is in vertex form, it is simple to determine what the parabola's vertex is (h, k).

The standard form equation of a parabola:

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

Now, the x-intercepts at -2 and -4 thus:

y = a(x + 2)(x + 4)

Now, y-intercept at (0, 8) thus:

8 = a(0 + 2)(0 + 4)

8 = 8a

a = 1

Substitute the value of a we have:

y = (x + 2)(x + 4)

Hence, the equation of the parabola is y = x² + 6x + 8.

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Answer:

AD=26.5 cm, AB= 16.5 cm, CD= 16.5 cm, and BC= 26.5 cm

Step-by-step explanation:

2(AD)+2(AB)=86

AD=10+AB

2(10+AB)+2(AB)=86

20+2(AB)+2(AB)=86

4(AB)=66

(AB)=16.5 or 16 \(\frac{1}{2}\)

AD=10+16.5

AD= 26.5

The average time a molecule spends in its reservoir is known as the residence time.

Residence time is an important concept in environmental science, particularly in the study of water quality and pollution. It refers to the average amount of time that a substance, such as a molecule or a pollutant, spends in a particular environment before it is either removed or transformed. For example, in a river, the residence time of a pollutant would be the amount of time it takes for that pollutant to be either broken down by natural processes or transported downstream to another location. By understanding residence time, scientists can better predict how pollutants will move through the environment and where they are likely to accumulate.

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Answer:

(-8;7) ---> (8;7)

x changes sign. y stays with the same sign

............

The correct answer is B. The sample mean being greater than 30 is not a requirement for testing a claim about a population mean with σ known.

The requirements are that either the population is normally distributed or n > 30 or both, the value of the population standard deviation is known, and the sample is a simple random sample. The hypothesis test for a population mean with σ known involves calculating the z-score by subtracting the population mean from the sample mean and dividing it by the standard deviation of the sampling distribution.

If the calculated z-score falls within the rejection region, we reject the null hypothesis and conclude that the sample mean is significantly different from the population mean. It is important to ensure that all the requirements are met before conducting the hypothesis test to obtain accurate and reliable results.

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Answer:

\(3^{-6} = \left(\frac{1}{3}\right)^{-6}\)

Answer:

Step-by-step explanation:

Exponent Law a^-r = 1/a^r

(1/3^6)

The correct answer is option 2. The radius of the balloon after 9 minutes is approximately 0.7889 centimeters.

To find the radius of the balloon after 9 minutes, we substitute t = 9 into the equation r(t) = 3√t + 6:

r(9) = 3√9 + 6

r(9) = 3 * 3 + 6

r(9) = 9 + 6

r(9) = 15

Therefore, the radius of the balloon after 9 minutes is 15 centimeters.

However, none of the given options match the value of 15 centimeters. It is possible that there was an error in the options provided or in the calculations. If we assume that option 2 corresponds to the radius after 9 minutes, the value of 0.7889 centimeters does not align with the equation r(9) = 15. Therefore, there may be a discrepancy in the options or in the calculations provided.

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