Identify the surface defined by the following equation. x^2 + y^2 + 8z^2 + 14x = -48 The surface defined by the equation is a hyperboloid of one sheet. a hyperboloid of two sheets. a plane. a cylinder an elliptic cone. a hyperbolic paraboloid. an elliptic paraboloid an ellipsoid.

Answer:

24 miles

Step-by-step explanation:

3x is the miles from downstream

4 (x - 1) is the return trip

Solution:

3x = 4 (x - 1)

3x =4x - 4

-x = -4

x = 4

The outward journey 3x = 12 miles

Return journey is same length

Therefore the distance travel is 24 miles

Answer:

It would be >

Step-by-step explanation:

> Means bigger than, and -15 is bigger than -19.

Think of it as a number line. On the positive spectrum,

a bigger number is bigger. On the negative side, a smaller

number is bigger.

Hope this helps!

as per as I can think the answet will be 38

please give me brainliest if my answer is correct

This statistic is misleading because it is based on a sample size that is too small to accurately represent the population of the entire town. It is possible that the 11 people surveyed do not accurately reflect the entire town, making the statistic unreliable.

1. Margaret asked 11 randomly selected residents from her town whether or not they own houses

2. Margaret reports that 36% of the residents from her town own houses based on her survey

3. This statistic is misleading because it is based on a sample size that is too small to accurately represent the population of the entire town

4. It is possible that the 11 people surveyed do not accurately reflect the entire town, making the statistic unreliable.

This statistic is misleading because it is based on a sample size that is too small to accurately represent the population of the entire town. It is possible that the 11 people surveyed do not accurately reflect the entire town, making the statistic unreliable.

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Answer:

1st

Step-by-step explanation:

Explanation in the picture.

The best estimate of the radius of the toy bus tire can be determined by considering that the distance traveled in one rotation is approximately 63 inches.

The distance traveled in one rotation by a circular object is equal to the circumference of the circle. The formula for the circumference of a circle is given by C = 2πr, where C represents the circumference and r represents the radius of the circle.

Given that the tire on the toy bus travels approximately 63 inches in one rotation, we can set up an equation using the circumference formula:

2πr = 63

To find the best estimate of the radius, we need to solve this equation for r. Dividing both sides of the equation by 2π, we get:

r = 63 / (2π)

Using a calculator to evaluate this expression, we can obtain the numerical value for the radius.

Since the question asks for the best estimate, it is appropriate to round the value to a reasonable number of decimal places, such as two decimal places, depending on the desired level of precision.

Therefore, the best estimate of the radius of the toy bus tire can be found by evaluating 63 / (2π) using a calculator.

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Answer:

The probability of P(Aç) = 27/35

To find the roots of a third-degree polynomial, also known as a cubic polynomial, we can use a method called factoring or apply the cubic formula.

The first step is to check if there are any common factors that can be factored out. Next, we can use the rational root theorem to determine potential rational roots. By applying synthetic division or long division, we can divide the polynomial by the potential roots to see if they are indeed roots.

If a rational root is found, we can then use synthetic division to factor out the corresponding quadratic equation. Finally, we can solve the quadratic equation using methods like factoring, completing the square, or using the quadratic formula to find the remaining roots.

It's important to note that not all cubic polynomials can be easily factored or solved algebraically. In such cases, numerical methods or approximation techniques may be used to find the roots.

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To find the roots of a third degree polynomial, you can follow these steps: 1) Check for rational roots using the Rational Root Theorem. 2) Use synthetic division to divide the polynomial by a linear factor. 3) Factor the resulting quadratic equation. 4) Solve for the roots by setting each factor equal to zero.

To find the roots of a third degree polynomial, we can follow these steps:

Remember, the Fundamental Theorem of Algebra states that every polynomial equation of degree n has exactly n complex roots, counting multiplicities.

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The equation 2 - 7/9x = 5/6, when rewritten without fractions, is x = 9/2.

To rewrite the equation 2 - 7/9x = 5/6 without fractions, we can eliminate the fractions by multiplying both sides of the equation by the least common denominator (LCD) of all the denominators involved.

The LCD in this case is the product of 9 and 6, which is 54.

Multiplying both sides of the equation by 54:

54 * (2 - 7/9x) = 54 * (5/6)

On the left side, we distribute the 54 to each term:

108 - (54 * 7/9)x = (54 * 5/6)

Now we simplify each side of the equation:

108 - (378/9)x = 270/6

108 - 42x/9 = 270/6

Now we can simplify the equation further:

108 - 14x = 45

To eliminate the constant term on the left side, we subtract 108 from both sides:

-14x = 45 - 108

-14x = -63

Finally, to isolate x, we divide both sides by -14:

x = (-63) / (-14)

Simplifying the division:

x = 9/2

Therefore, the equation 2 - 7/9x = 5/6, when rewritten without fractions, is x = 9/2.

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Answer and Explanation:

The expression \((3y + 5) + \frac{1}{2}(3y + 5)\) is equivalent to the expression \(1.5(3y + 5)\) because of the distributive property and the equivalence of \(1 \frac{1}{2}\) and \(1.5\).

In other words:

We know that

\(1 + \frac{1}{2} = 1 \frac{1}{2} = 1.5\),

and that

\((B + C)(A) = BA + CA\).

Therefore,

\(1A + \frac{1}{2}A = 1 \frac{1}{2}A = 1.5A\)

and

\((3y + 5) + \frac{1}{2}(3y + 5) = 1.5(3y + 5)\).

To simplify \(1.5(3y + 5)\), we can distribute the 1.5.

\(1.5(3y + 5) = (1.5) (3y) + (1.5)(5)\)

\(= \boxed{4.5y + 7.5}\)

Answer:

61

Step-by-step explanation:

Given the exponential expression, (2・3)² + 5²:

Start by multiplying 2 and 3 inside the parenthesis, before performing other mathematical operations.

(2・3)² + 5² = (6)² + 5²

Next, perform the exponential operations for (6)² and 5², then add their squared values together:

= 36 + 25  = 61

Answer:

61

Step-by-step explanation:

Answer:

Imma guess

8^3 + 12

Step-by-step explanation:

The values of the inequalities are (11) a <9/23, (12) b > 1 (13) 4≥m (14)  6>p (15) x > 2 (16) x>2 (17) r> 2 (18) 0≥x (19) x > 0 (20) x> 4/9

Inequality is a mathematical relationship between two values or expressions that are not equal to each other

The given inequalities are

11)  a-15>4(-6+3a)

opening the brackets we have

a-15 > -24 +12a

Collecting like terms to get

a-24a > -24 + 15

-23a >-9

Dividing by -

a <9/23

12)  3(6b-1)>18-3b

18b - 3 > 18 -3b

18b+3b > 18 +3

21b > 21

Dividing by 21

b > 1

(13)  26 + m ≥ 5(-6 + 3m)

Clearing brackets to have

26 + m ≥ -30 + 15m

Collecting like terms to have

26+30 ≥ 15m - m

56 ≥ 14m

Making m the subject to get

4≥m

14)  20 - 2p > -2(p+2)+4p

Rearrange to have

20 -2p > -2p -4 +4p

20+4 > 4p

24 > 4p making p the subject

6>p

15)  x+1+1+6x>3(x-4) - (x-4)

7x + 2  > 3x - 12 - x +4

7x-2x > -12 + 4 - 2

5x > 10

x > 2

16)  -6(1+6x)< 6(1-5x)

-6 -36x < 6 - 30x

Rearrange  to have

-36x + 30x < 6+6

-6x < 12

x>2

17) 2(1-4r)<-2(r+3)-4

2 - 8r < -2r  -6 -4

-8r + 2r < -10 - 2

-6r < -12

r> 2

18) -6(1+2x)≥ 6(2x -1) + 2x

-6 + 12x ≥ 12x -6 + 2x

-6+6 ≥ 14x -12x

0 ≥ 2x

0≥x

19) -2(1-5x) > -(x+1) -1

rearrange

-2 +5x > -x -1 -1

6x > 0

x > 0

20) 5x - (x+2) > -5(1+x) +3

5x -x -2 > -5 -5x +3

5x+4x>-4

9x > 4

x> 4/9

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Considering supplementary angles, we have that the measures of x and y are given as follows:

We also have that x and y have different measures, hence the student is incorrect, and x and 40º are complementary.

Supplementary angles are angles whose measures add to 180º.

The three internal angles of a triangle are supplementary, hence we can find x as follows:

90 + 40 + x = 180

130 + x = 180

x = 50º.

Angles x, y and 50º are also supplementary, hence:

x + y + 50 = 180

50 + y + 50 = 180

y = 80º.

The angles with measures x and 40º are complementary, as they add to 90º.

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Answer:

sum up to 130 but not equal

Step-by-step explanation:

The distance between any point on the parabola and the directrix is equal to the distance between that point and the focus. This property is what defines a parabola.

To draw a parabola given the directrix and focus, follow these steps:

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How you calculate this is this:

So, any two given sides much be greater than the other side.

7. The answer is no. 1 plus 5 is 6 right? 6 is less than 11, so it can never be a triangle.

8. The answer is yes. 3 plus 6 is greater than 7. 3 plus 7 is greater than 6. 6 plus 7 is greater than 3.

9. The answer is yes. 9 plus 11 is greater than 12. 9 plus 12 is greater than 11. 11 plus 12 is greater than 9.

Answer:

12

Step-by-step explanation:

the angles on top of a line (or below a line) sum up to 180 degrees, as a line stands in that regard for a flip from left to right - which is a half circle or 180 degrees.

therefore, the sum of both angles must be 180.

10x - 20 + 6x + 8 = 180

16x -12 = 180

16x = 192

x = 12

The values are: sin(13π/6) = 1/2

cos(13π/6) = √3/2

tan(13π/6) = √3/3

To evaluate the sine, cosine, and tangent of an angle, we can use the unit circle or trigonometric identities. Let's calculate the values for θ = 13π/6:

Sine (sinθ):

The reference angle for 13π/6 can be found by subtracting full revolutions. In this case, subtracting 2π:

θ = 13π/6 - 2π = π/6

The sine of π/6 is 1/2:

sin(π/6) = 1/2

Cosine (cosθ):

Using the reference angle from the previous step, we can determine the cosine. The cosine of π/6 is √3/2:

cos(π/6) = √3/2

Tangent (tanθ):

The tangent can be calculated by dividing the sine by the cosine:

tanθ = sinθ / cosθ

Substituting the values:

tan(π/6) = (1/2) / (√3/2)

To simplify the expression, we multiply both the numerator and denominator by 2/√3:

tan(π/6) = (1/2)× (2/√3) / (√3/2) × (2/√3)

= 1/√3

Rationalizing the denominator by multiplying both the numerator and denominator by √3:

tan(π/6) = (1/√3) ×(√3/√3)

= √3/3

Therefore, the values are:

sin(13π/6) = 1/2

cos(13π/6) = √3/2

tan(13π/6) = √3/3

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Answer:

Plato sample answer

The number of  boys and girls in a class of 150 students is 90 and 60 respectively.

RATIO:

Comparing two quantities of the same units and determining the ratio tells us how much of one quantity is in the other.

i.e., it shows how many times a number contains another.

Total number of students = 150

ratio of boys to girls = 3 : 2

B:G = 3 : 2

now

3x + 2x = 150

5x = 150

x = 30

the number of boys = 3x = 3 X 30 = 90 boys.

the number of girls = 2x = 2 X 30 = 60 girls.

The number of  boys and girls in a class of 150 students is 90 and 60 respectively.

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Answer: 43

Step-by-step explanation: subtract 300 by the amount he has already read. That gives you 215. Divide 215 by the amount of days he has left. That gives you 43.

Answer:

It should take him about 4 days

Answer:

24

**Solving Steps**

2 x (2 x X - 6) = 84

4x-12=84

84+12=96

96/4 = 24

Hope it helps.

(A) The basis in which the space work is done is around 2. The powers of 10's logarithmic values can be used to determine this. (b) They could have two fingers for each hand, giving infants a total of five fingers.

a. The space creatures are most likely employed in a base other than base 10. The values of log 10, log 100, and log 1000 do not match the expected values for base 10, which should be 1, 2, and 3, respectively. Instead, the values given indicate that the base is slightly less than ten, because log 10 is less than one, log 100 is less than two, and log 1000 is less than three.

To be more specific, using the calculator's approximation, we can use the change of base formula to find the value of log base b for each of these numbers:

log base b of 10 = log 10 / log b ≈ 0.926628408

log base b of 100 = log 100 / log b ≈ 1.853256816

log base b of 1000 = log 1000 / log b ≈ 2.779885224

By dividing the known values of log 10, log 100, and log 1000, we can find log b:

0.473606797 log b = log 1000 / log 100

As a result, the space creatures are most likely based on 9.526.

b. It is impossible to determine how many fingers the space creatures have based solely on the calculator information and logarithm values. The space creatures' base could be related to the number of fingers they have, but we don't have enough information to tell.

The inverses of exponential functions, or those that "undo," the exponential functions, are the logarithmic functions.

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The missing corresponding side length is 6 feet

From the question, we have the following parameters that can be used in our computation:

Also, see attachment for the figures

From the question, we have:

Figure A is similar to Figure B

This means that

Side length A = √(Figure A/Figure B) * Side length B

Substitute the known values in the above equation, so, we have the following representation

Side length A = √(18/98) * 14

Evaluate

Side length A = 6

Hence, the side length is 6

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The probability that both randomly chosen people own a dog can be calculated using the concept of independent events. If 18% of people own dogs, it means that the probability of a person owning a dog is 0.18.

When picking the first person, there is a 0.18 probability that they own a dog. Now, assuming replacement (putting the person back before picking the second person), the probability that the second person also owns a dog is also 0.18.

To find the probability of both events occurring, we multiply the individual probabilities together: 0.18 * 0.18 = 0.0324.

Therefore, the probability that both randomly chosen people own a dog is 0.0324, which is equivalent to 3.24%. This means that if we were to repeat this random selection process many times, we would expect approximately 3.24% of the time to end up with two dog owners.

It's important to note that this calculation assumes independence between the events and replacement, meaning the probability of one person owning a dog does not affect the probability of the other person owning a dog.

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Answer:

Area of the triangle WXY = 111.8 mm²

Step-by-step explanation:

By applying Sine rule in the given triangle WXY,

\(\frac{\text{SinW}}{\text{XY}}=\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}\)

Since m∠W + m∠X + m∠Y = 180°

m∠W + 26° + 130° = 180°

m∠W = 180° - 156°

m∠W = 24°

\(\frac{\text{Sin24}}{\text{XY}}=\frac{\text{Sin130}}{31}=\frac{\text{Sin26}}{\text{WX}}\)

\(\frac{\text{Sin24}}{\text{XY}}=\frac{\text{Sin130}}{31}\)

XY = \(\frac{31\times (\text{Sin24})}{\text{Sin130}}\)

XY = 16.4597

     ≈ 16.4597 mm

Area of the triangle = \(\frac{1}{2}(\text{XY})(\text{WY})\text{SinY}\)

                                 = \(\frac{1}{2}(16.4597)(31)\text{Sin26}\)

                                 = 111.83 mm²

                                 ≈ 111.8 mm²

Therefore, area of the triangle WXY = 111.8 mm²

Answer:

(1)x=-24

(2)Another pair of equivalent ratio is:

\(\dfrac{-64}{x+5}=8$ where $x=-13\)

Step-by-step explanation:

Given the ratio:

\(\dfrac{-294}{x+10}=21\)

Part 1: We determine the value of x.

\(\dfrac{-294}{x+10}=21\\$Cross multiply$\\21(x+10)=-294\\21x+210=-294\\$Collect like terms$\\21x=-294-210\\21x=-504\\$Divide both sides by 21$\\x=-24\)

Part 2: We write another pair of equivalent ratios.

Let

\(\dfrac{-64}{x+5}=8\\$Cross multiply$\\8(x+5)=-64\\8x+40=-64\\$Collect like terms$\\8x=-64-40\\8x=-104\\$Divide both sides by 8$\\x=-13\)

The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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