the approximate diameter of five planets are listed below.
earth:11,800
saturn:1.2 x 10^4
neptune: 5.0 x 10^3
mars:4800


which lost shows the order from the least diameter to the greatest diameter?
A. Mars, Neptune, Earth, Saturn
B. Mars, Saturn, Neptune, Earth
C. Mars, Earth, Neptune, Saturn
D. Mars, Earth, Saturn, Neptune

To solve this system of equations, we can use substitution:

y=x-2 (1)

2x+y=4 (2)

As the variable y is already isolated on the equation 1, we are going to substitute (1) on (2):

2x+(x-2)=4

2x+x-2=4

3x=4+2

3x=6

x=6/3

x=2

Since x=2, now we can substitute x=2 on equation (2)

2(2)+y=4

4+y=4

y=4-4

y=0

Answer:

Hope the picture will help you

Answer:

7b - 3 ≤ -22

Step-by-step explanation:

7b - 3 ≤ -22

Answer:

-3/4

Step-by-step explanation:

In slope-intercept form, the slope is the coefficient of x.

Answer:

The margin of error is 3.075

Step-by-step explanation:

Firstly, we proceed to calculate the mean

Mean = ( upper CI + lower CI)/2

= (20.68 + 14.53)/2 = 17.605

The margin of error is upper CI minus mean

That would be;

20.68 - 17.605 = 3.075

Answer:

5(x-6) + 3x = 3/4(2x - 8)

X=6

The actual probability histogram of how frequently we win will roughly follow the normal curve as both the number of games we play and the number of simulations we run increase.

The central limit theorem states that under certain conditions, the probability distribution of the sum (or average) of a large number of independent and identically distributed random variables will approach a normal distribution.

In the case of roulette, if we bet $5 on even numbers and count the number of times we win after a large number of bets, this corresponds to a sum of a large number of independent Bernoulli trials, each with probability p of success (winning on an even number). Therefore, if we want the true probability histogram of the number of times we win to approximately follow the normal curve, we need to ensure that the conditions of the central limit theorem are met.

One way to do this is to increase the number of times we play (i.e., the number of independent Bernoulli trials). As the sample size increases, the distribution of the sample mean (i.e., the proportion of wins) will become more normal.

Another way to achieve this is to increase the number of simulations used to approximate the probability histogram. The more simulations we run, the closer the probability histogram will be to the true underlying distribution. Moreover, as the number of simulations increases, the central limit theorem ensures that the distribution of the sample mean will converge to a normal distribution.

Therefore, both increasing the number of times we play and increasing the number of simulations will have the effect of making the true probability histogram of the number of times we win approximately follow the normal curve.

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Answer:

16 square inches

Step-by-step explanation:

Given

Triangle (4)

\(Height = 3\)

\(Base = 2\)

Square (1)

\(Length = 2\)

Required

The surface area of the star

This is calculated as the area of the square added to the area of the 4 triangles.

The area of the square is:

\(Area =Length^2\)

\(A_1= 2^2\)

\(A_1= 4\)

\(The\ area\ of\ 1\) of the triangles is:

\(Area = 0.5 * Base * Height\)

\(A_2 = 0.5* 3 * 2\)

\(A_2 = 3\)

For the 4 triangle, the area is 4 * A2

So, the total area is:

\(Total = A_1 + 4 * A_2\)

\(Total = 4 + 4 * 3\)

\(Total = 4 +12\)

\(Total = 16\)

Using the proportion rule, the ratios 1/3 and 2/5 does not form a proportion.

In the given equation,

We have to check the ratios 1/3 and 2/5 form a proportion or not.

As we know that proportion is a ratio in which both ratios are equal to each other.

So to check whether the given statement is proportion or not we put both equation equal to each other.

So the ratios are 1/3 and 2/5.

Now checking the proportion.

1/3=2/5

Multiply by 15 on both side.

1/3 ×15=2/5 ×15

Simplifying

1×5=2×3

5=6

As we can see that both side is not equal so the given ratio is not proportion.

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The graph of the equation y = |x| + 5 is given below.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The given equation is y = |x| + 5.

Set the given values for x and find the corresponding values of y.

When x = -3, y = |-3| + 5 = 8

When x = -2, y = |-2| + 5 = 7

When x = -1, y = |-1| + 5 = 6

When x = 0, y = |0| + 5 = 5

When x = 1, y = |1| + 5 = 6

When x = 2, y = |2| + 5 = 7

When x = 3, y = |3| + 5 = 8

Graph of the equation is given below.

Hence the graph of the equation is found.

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Answer:

In other words, the only numbers you can plug into a log function are positive numbers. Negative numbers, and the number 0

Step-by-step explanation:

Answer: negative numbers and the number 0 are non logarithmic functions

Step-by-step explanation:

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

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To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

Given: y + 3 ≥ 2 and y + 3 < 6

To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:

y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:

2 ≤ y+3 and y + 3 < 6

Combine the two:

2 ≤ y+3 < 6

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Step-by-step explanation:

the area of a parallelogram is

baseline × height = 5 × 3.2 = 16 m²

Answer:

A

Step-by-step explanation:

hope this helps! :) Hope you have. a great day

Answer: e, an=6n-7.

Step-by-step explanation: Any pair of consecutive terms can be used to determine the arithmetic sequence's common difference (d), which can then be used in conjunction with the given term to determine the nth term using the following formula:

an = a1 + (n - 1) d.

Let's use the pair a11=53 and a10=47 to find d:

d = a11 - a10 = 53 - 47 = 6

Now we can use the formula to find any term of the sequence. Let's use the given value of a13=65 to find a13:

a13 = a1 + (13 - 1)d

65 = a1 + 12(6)

65 = a1 + 72

a1 = -7

Therefore, the formula that can be used to find the nth term of the arithmetic sequence is:

an = -7 + (n - 1)6

Simplifying this expression, we get:

an = 6n - 7.

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

Answer:

y^{2}-5y=750y

2

−5y=750

750-y(y-5)=0750−y(y−5)=0

(y + 25)(y -30) = 0(y+25)(y−30)=0

Step-by-step explanation:

Givens

The area of a rectangular room is 750 square feet.

The width of the room is 5 feet less than the length of the room.

Let's call ww the width and ll the length. According to the problem they are related as follows

w=l-5w=l−5 , because the width is 5 feet less than the lenght.

We know that the area of the room is defined as

A=w\times lA=w×l

Where A=750 ft^{2}A=750ft

2

Replacing the given area and the expression, we have

\begin{gathered}750=(l-5)l\\750=l^{2}-5l \\l^{2}-5l-750=0\end{gathered}

750=(l−5)l

750=l

2

−5l

l

2

−5l−750=0

We need to find two number which product is 750 and which difference is 5, those numbers are 30 and 25.

l^{2}-5l-750=(l-30)(l+25)l

2

−5l−750=(l−30)(l+25)

Using the zero property, we have

\begin{gathered}l=30\\l=-25\end{gathered}

l=30

l=−25

Where only the positive number makes sense to the problem because a negative length doesn't make any sense.

Therefore, the length of the room is 30 feet.

Also, the right answers are the second choice where y=ly=l , the third choice and the last choice

Answer:

y² - 5y = 750  

or

750 - y(y - 5) = 0

or

(y + 25)(y - 30) = 0

Step-by-step explanation:

length = y  ft

width = y - 5

Area of the rectangular room = 750 square feet

length * width = 750

y*(y-5) = 750

⇒ y² - 5y = 750

y(y-5) = 750

⇒ 0 = 750 - y(y - 5)

⇒ 750 - y(y - 5) = 0

y(y - 5) = 750

y² - 5y -750 = 0

Sum = -5

Product = -750

Factors = 25 , (-30)

y²  + 25y - 30y - 750 = 0

y(y + 25) -30(y + 25) = 0

(y + 25)(y - 30) = 0

Answer:

10.5

Step-by-step explanation:

Missing number, 9.8, 9.1

We see that each time it subtracts 0.7

We take

9.8 + 0.7 = 10.5

So, the missing number is 10.5

Mary Lou Mason's total taxes on her purchase would be $1.37.

Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.

Mary Lou Mason's total purchase was $19.14.

To calculate the total taxes for her purchase, we can use the following formula:

Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)

Therefore, the total taxes for Mary Lou Mason's purchase would be:

Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)

Tax = (0.065 x 19.14) + (0.015 x 19.14)

Tax = 1.24 + 0.13

Tax = $1.37

Mary Lou Mason's total taxes on her purchase would be $1.37.

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Answer: The probability that the cube Maurice selects is NOT blue is 0.75 or 75%.

Step-by-step explanation: The total number of cubes in the bag is 20, of which 5 are blue. Therefore, the number of cubes that are not blue is:

20 - 5 = 15

Maurice randomly selects one cube from the bag, so the total number of possible outcomes is 20. The probability of selecting a cube that is not blue is:

15/20 = 3/4 = 0.75

Therefore, the probability that the cube Maurice selects is NOT blue is 0.75 or 75%.

Answer:

Answer: The probability that the cube Maurice selects is NOT blue is 0.75 or 75%.

Step-by-step explanation: The total number of cubes in the bag is 20, of which 5 are blue. Therefore, the number of cubes that are not blue is:

20 - 5 = 15

Maurice randomly selects one cube from the bag, so the total number of possible outcomes is 20. The probability of selecting a cube that is not blue is:

15/20 = 3/4 = 0.75

Therefore, the probability that the cube Maurice selects is NOT blue is 0.75 or 75%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope intercept: y = mx + b

where m is the slope and b is the y-intercept

Equation: y = -3x + 4

Since y-intercept is given, then we have the first point of the line as (0,4)

Let's find the value of x when y is 0

y = -3x + 4

0 = -3x + 4

3x = 4

x = 4/3

(4/3,0) ---second point

Since there are two points/coordinates already then we can now plot/graph.

Answer:

12/20 = 0.6

Step-by-step explanation:

The total number of cards in Kayla's hand is:

6 (spades) + 7 (hearts) + 5 (diamonds) + 2 (clubs) = 20

The number of red cards (hearts or diamonds) in Kayla's hand is:

7 (hearts) + 5 (diamonds) = 12

Therefore, the probability of randomly selecting a red card from Kayla's hand is:

12/20 = 0.6

Answer: 0.6

Step-by-step explanation: you add the total amount of cards she has which is 20(6+7+5+2) then the amount of hearts or diamonds is 7+5 for hearts and diamonds, which is =12 so the amount of hearts and diamonds divided by the total amount of cards, 12/20 which is 6/10 when divided by 2, 6/10 is 0.6, if you want to go further 6/10 can be broken down to 3/5 which is also 0.6

The chance or probability of landing on a number divisible by 2 is 1/2.

The likelihood of an event occurring is defined by probability. By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

According to the question,

Total number of outcomes = 6

Favorable number of outcomes = 3

Thus, the required Probability = 3/6 =1/2

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Answer: 7% at 6 years would best fit their payment option. They would then be paying $238.69 monthly and which is under $250, I hope this helps!

Answer:

Step-by-step explanation:

∑ angles = 360°

2x + 90 + x + 3x = 360

6x = 270

x = 45°

:::::

∠A = ∠B, so AD and BC are parallel.

Answer:

its c and thats on purrrr

Step-by-step explanation: