Solve the equation. Write the solution set with exact values given in terms of common or natural logarithms.

Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

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Answer:

C i think but I could be wrong

Step-by-step explanation:

Answer:

the 4th statement

Step-by-step explanation:

Answer:

Don’t know

Step-by-step explanation:

Sorry

Answer:

Mystery Number is 8

Step-by-step explanation:

3x - 15 = 5 + 1/2x

3x - 1/2x = 15 + 5

5/2x = 20

x = 20 / 5/2

x = 20 * 2/5

x = 40 / 5

x = 8

Answer:

Freezers made up \(\frac{6}{25}\) = 24% of the appliances sold in January.

Step-by-step explanation:

We have that:

10 + 8 + 12 + 12 + 8 = 50 parts were sold in January.

Freezers made up what part of the appliances sold in January?

12 of those were freezers, so:

\(\frac{12}{50} = \frac{6}{25} = 0.24\)

Freezers made up \(\frac{6}{25}\) = 24% of the appliances sold in January.

Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

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Answer:

2x - 12 = y

Step-by-step explanation:

→ Add y to both sides

2x = 12 + y

→ Minus 12 from both sides

2x - 12 = y

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

Answer:

This is the math riddle for pi..

Step-by-step explanation:

They mean by this question,  What do you get if you divide the circumference of a pumpkin pie by its diameter?

Pi is the ratio of circumference and the diameter.  and people want to understand why pi =3.14. ... very long explanation. This will be college level to understand these math.

We don’t really need the diagram at this stage of course.

The internal angle is  180o−360o / 24=180o−15o =1 65o . Half of this is  82.5o . The perimeter is now  24x  so we have:

24 x /h  = 24 / tan(82.5o) Rather remarkably:

So tan(82.5o) =√+2 + √+3+√+4+√+6

24 x / h = 24    / ( √+2 + √+3+√+4+√+6 ≈3 .1596599421

Taking a few more steps:...very long detail explanation.

Answer:

3 1/4

Step-by-step explanation:

First you would convert them to improper fractions with common denominators.

12 1/2 >>>> 25/2

9 1/4 >>>>>> 37/4

to get a common denominator, you would multiply 25/2 by 1/2 to get 50/4.

50 - 37 = 13

so your answer would be 13/4

(a) The probability that at most 8 involve a single vehicle = 0.057

(b) The probability that exactly 8 involve a single vehicle = 0.035

(c) The probability that exactly 10 involve multiple vehicles = 0.117

(d) The probability that between 5 and 8, involve a single

vehicle = 0.056

(e) The probability that at least 5 involve a single vehicle = 1

(f) The probability exactly 8 involve a single vehicle and the other 12 involve multiple vehicles = 0.035

Probability is defined as the ratio of favorable outcomes to all other possible outcomes of an event. For an experiment with 'n' number of outcomes, the symbol x can be used to indicate the number of excellent outcomes. The probability formula is as follows:

x/n, where Probability is Favorable Outcomes/Total Results (Event).

Now, P = 0.6

n = 20

x ≅ Binomial (20; 0.6)

P(x) = (nx) Px q n-x

Now, at most 8 involve a single vehicle is:

P (x ≤ 8) = 0.057

Again, exactly 8 involve a single vehicle is:

P (x =8) = 0.035

Now exactly 10 involve multiple vehicles is:

P (x = 10) = 0.117

Similarly, between 5 and 8, involve a single vehicle is:

P (5 ≤ x ≤ 8) = 0.056

The probability of at least 5 involve a single vehicle is:

P (x ≥ 5) = 1

The probability that 8 involve a single vehicle and the other 12 in multiple vehicles is:

P (x = 8) = 0.035

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Answer:

To the nearest Hundredth = 1.17

Step-by-step explanation:

CARRYING THE DIVISION OF 1.4 / 1.2 to the nearest hundredths place

= 1.4 / 1.2

= 1.16666667

≈ 1.17

rounding off to the nearest hundredth means rounding off your answer to only two decimal places

Answer:

Do you have any numbers?

Explanation:

ratio of two cubes: 2 : 5

Perimeter of one face of cube: 4 × side

For small cube: 4 × 2 = 8

For big cube: 4 × 5 = 20

Ratio of perimeter of one face: 8 : 20 = 2 : 5

Total surface area of cube: 6a²

For small cube: 6(2)² = 24

For big cube: 6(5)² = 150

Ratio of total surface area: 24 : 150 = 4 : 25

Volume of cube: a³

For small cube: (2)³ = 8

For big cube: (5)³ = 125

Ratio of volume: 8 : 125

#1

Perimeter=4a

Find ratio

Samd

#2

TSA=6a²

#3

Volume=a³

Answer:

8,000 m^3

Step-by-step explanation:

The computation of the volume of the modified cube in cubic meters is shown below:

Given that

Volume = 64 m^3

So each side would be

= ∛64

= 4

Now each side is scaled by 5 so each side would be

= 4 × 5m

= 20m

Now the volume of the modified cube is

= 20^3

= 8,000 m^3

Answer:

8,000

Step-by-step explanation:

When the sides of the cube are scaled by a factor of k, the volume increases by a factor of k3. Here, the new volume is 64 cubic meters × 53 = 8,000 cubic meters.

Answer:

x - 1

Step-by-step explanation:

The graph touches the x-axis at x = 1, its factor would be (x - 1)

Answer:

4/7=12/21

18/20=9/10

6/5=30/25

81/90=9/10

Step-by-step explanation:

12 / 21  will be equal to 4/7 and is denoted in the simplest form.

A fraction that possesses the same value as another fraction regardless of how it's denominators and numeric components could be different is said to be equivalent.

12 / 21 can be simplified with the help of 3. This will result in 4/7.

18/20 can be simplified with the help of 2. This will result in a 9/10.

30/25 can be simplified with the help of 5. This will result in 6/5.

81/90 can be simplified with the help of 9. This will result in a 9/10.

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By looking at this problem:

  ⇒ must use trigonometric functions:

     ⇒ (look at image attached for further reference)

Let's solve:

          \(sin(10)=\frac{a}{13}\\ a = 13sin(10)\\a=2.25743\)

          \(cos(10)=\frac{b}{13} \\b = 13cos(10)\\b = 12.80250\)

Make sure to round your answer to four decimal points

Answer:

Hope that helps!

Answer:

  105 miles

Step-by-step explanation:

The relationship between speed, time, and distance is ...

  distance = speed × time

For the given conditions, the distance is ...

  distance = (70 mi/h)×(1.5 h) = 105 mi

Sam traveled 105 miles.

Answer:

x² = 5² + 3²

Step-by-step explanation:

x² = 5² + 3²

x² =25+9

x²=34

x=√34

x=5.8309518948 ~ 5.8

Answer:

There were 58 hardback books there.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of paperback books.

y is the number of hardback books.

The number of paperbacks is 12 less than three times the number of hardbacks.

This means that:

\(x = 3y - 12\)

Huong had 162 paperbacks.

This means that \(x = 162\)

How many hardback books were there?

We want to find y.

So, using the value of x, and the first equation, we have that:

\(x = 3y - 12\)

\(3y = x + 12\)

\(3y = 162 + 12\)

\(3y = 174\)

\(y = \frac{174}{3}\)

\(y = 58\)

There were 58 hardback books there.

Answer:

1.78f

Step-by-step explanation:

7/4=1.78 and then you add f

Your answer is A. 6.25%

Therefore , the solution of the given problem of equation comes out to be spot A's coordinates are (80,-20).

In mathematical formulas, it is common to use the same variable term to guarantee agreement between two claims. Mathematical assertions, also known as equations expression, are employed to convey the equality of numerous academic figures. In this case, the normalise method adds b + 6 using the data of y + 6 rather than splitting 12 into two parts.

Here,

Let (a,b) represent the location of point A. Consequently, the inclination of the line through (0,0) and (a,b) is

=> m = (b - 0) / (a - 0) Equals b / a

This line being parallel to the initial road gives us:

=>  m = -1/4

Therefore:

=>  b / a = -1/4

=>  b = -a/4

=>  √[(a - 0)² + (-a/4 - 0)²] = √(17a²/16)

From (a,-a/4) to (85,0), the distance is:

=>  √[(85 - a)² + (0 - (-a/4))²] = √[(85 - a)² + (a/4)²]

These two separations are equal, so we can put them at the same value and find a:

=>  √[(85 - a)² + (a/4)²] = √(17a²/16)

When we square both edges, we obtain:

=>  (85 - a)² + (a/4)² = 17a²/16

=>  16(85 - a)² + a² = 17a²

=>  16(7225 - 170a + a²) + a² = 17a²

=>  115600 - 2720a + 17a² + a² = 17a²

=>  18a² - 2720a + 115600 = 0

=> 9a² - 1360a + 57800 = 0

=>  a = (1360 ± √(1360² - 4957800)) / (2*9)

=>  a = (1360 ± √(307600)) / 18

=>  a = (1360 ± 560) / 18

=>  a = 80 or a = 40/9

Point A's y-coordinate is:

=> b = -a/4 = -80/4 = -20

Consequently, spot A's coordinates are (80,-20).

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Mandy's solution makes sense since it entails multiplying the total number of persons in those entire rows (142) by the number of people in each row (ten).

Similarly, multiplying the total number of people in the remaining seats (142) by the number of people in each row (2) yields the total number of people in the remaining seats. The total number of persons in the theater is calculated by adding these two components.

This is a viable use of multiplication's distributive property, in which we break down a multiplication issue into simpler products and then add them up. As a result, Mandy's approach is a viable method for determining the total number of people in the theater.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Range is largest value - smallest value. 12-3=9! EZ

Answer:

$3.24

Step-by-step explanation:

Cost for the coffee + Cost for the bagel

$1.39 + $1.85

$3.24