Earth's distance from the sun is 1. 496 x 108 km. Saturn's distance from the sun is 1. 4246 x 10 km. How many times further from the sun is Saturn? Explain how you arrived at your answer. ​

Answer:

y = 3/4 x + 1/4

Step-by-step explanation:

line through the points (1, 1), (5, 4)

slope (m) = (4 - 1) / (5 - 1) = 3/4

y = mx + b       b = y - mx   ... for point (1 , 1)

b = 1 - 3/4 = 1/4

Line: y = 3/4 x + 1/4

check for point (9 , 7):     3/4 * 9 + 1/4 = 28/4 = 7

p = d(w)/dt ,  this equation is used to describe how the value of w changes over time.

Left side: p is the derivative of w

Right side: d(w)/dt, where d stands for derivative and dt stands for derivative with respect to time (t)

The mathematical translation of the sentence "p is the derivative of w with respect to time (t)" is expressed as p = d(w)/dt. This equation states that p is the rate at which w changes over time (t). The left side of the equation, p, is the derivative of w indicating that it is the rate of change of w with respect to time. The right side of the equation, d(w)/dt, is the derivative of w with respect to time. The d stands for derivative, and the dt stands for derivative with respect to time. Therefore, this equation is used to describe how the value of w changes over time.

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Answer:

Step-by-step explanation:

y - z+6

Answer:

(0, - 7 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(0, 7 ) → (0, - 7 )

Answer:

55.27

Step-by-step explanation:

The velocity of the car traveling from one city to another that is 163 km away and takes 2 and a half hours to reach can be calculated as 65.2 km/hour. This is determined by dividing the distance traveled by the time taken, or 163 km / 2.5 hours.

Velocity is a measure of an object's displacement over time. It specifies both the object's speed and direction of movement, and is expressed in units of distance per unit of time, such as meters per second or kilometers per hour.

Distance is the measure of how far apart two points or objects are. It is typically measured in units such as kilometers, miles, meters, or feet.

According to the given information:

To find the velocity of the car, we need to use the formula:

Velocity = Distance / Time

In this case, the distance traveled by the car is 163km and the time taken to travel that distance is 2.5 hours.

Substituting the values into the formula, we get:

Velocity = 163 km / 2.5 hours

Simplifying, we get:

Velocity = 65.2 km/h

Therefore, the velocity of the car is 65.2 km/h.

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Starting with steps;

= (x+1)(x+2)+ \(2x^{2}\)-6x

opening the first two brackets we get

= \(x^{2}+2x+x+2\)+ \(2x^{2}\) - 6x

Solving the equation we get,

Ans = \(3x^{2}\) - 3x + 2

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Answer:

there is no table so we are therefore unable to answer this question

Step-by-step explanation:

sorry

Answer:

Step-by-step explanation:

4 I think I am not sure I’m correct

Answer: Neura has 29 fruit bars

Jackie has 9 fruit bars

Brooklyn has 24 fruit bars

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

1. put this question in reverse

17+-1=??

2. get rid of the plus because

17+-1=?? the same as 17-1=??

3. solve

17-1=16

so the answer is 16

hope this helps :D

That's easy the answer is 16

The interval (461.7, 598.1) is estimating the parameter of expected lead content when traffic flow is 15, denoted as Lead Content|Traffic flow = 15. This interval represents the range of values where we can be 95% confident that the true population parameter lies, based on the sample data collected.

To calculate a 99% confidence interval for Lead Content|Traffic flow = 15, we would need to use the same sample data and formula as for the 95% confidence interval but using a higher level of significance. Assuming the underlying assumptions of normality, independence, and constant variance are met, a 99% confidence interval would be wider than the 95% interval. Therefore, we would expect the 99% confidence interval for Lead Content|Traffic flow = 15 to be (430.7, 629.1), which represents a larger range of values where we can be more confident that the true population parameter lies.

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Answer:

3 and -2

Step-by-step explanation:

3+(-2) = 1

3*(-2) = -6

Answer:

3  and -2

Step-by-step explanation:

The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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Answer:

694.51

Step-by-step explanation:

∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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Answer:

The answer is 72 inches in 24 hours.

Step-by-step explanation:

If 3 inches tall per hour, and you need to find the amount of rain in 24 hours, you just need to multiply the number of inches per hour by the number of hours required (24 hours):

3×24=72 inches

Answer:

Express the ratio 6 inches of rain in 24 hours as a unit rate. *

Step-by-step explanation:

Using the Pigeonhole Principle, it can be shown that in a set of n positive integers, none exceeding 2n, there is at least one integer that divides another integer.

We can prove this statement by contradiction using the Pigeonhole Principle.

Suppose we have a set of n positive integers, none of which exceed 2n, and assume that no integer in the set divides another integer.

Consider the prime factorization of each integer in the set. Since each integer is at most 2n, the largest prime factor in the prime factorization of any integer is at most 2n.

Now, let's consider the possible prime factors of the integers in the set. There are only n possible prime factors, namely 2, 3, 5, ..., and 2n (the largest prime factor).

By the Pigeonhole Principle, if we have n+1 distinct integers, and we distribute them into n pigeonholes (corresponding to the n possible prime factors), at least two integers must share the same pigeonhole (prime factor).

This means that there exist two integers in the set with the same prime factor. Let's call these integers a and b, where a ≠ b. Since they have the same prime factor, one integer must divide the other.

This contradicts our initial assumption that no integer in the set divides another integer.

Therefore, our assumption must be false, and there must be at least one integer in the set that divides another integer.

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Answer:

the answer is 3/4 because 7/12 + 2/12 is 9/12 which simplified is 3/4

Step-by-step explanation:

n(A U B) = n(A) + n(B) - n(A n B)

From the question;

n(A n B) = 7 n(A U B) = 54 n(A) = 35

substituting the values into the formular above and then solve for n(B)

54 = 35 + n(B) - 7

54 = 28 + n(B)

subtract 28 from both-side of the equation

54 - 28 = 28 - 28 + n(B)

26 = n(B)

In 1927 charles lindberg had his first solo flight across the atlantic ocean, then the he fly each hour 107.76 miles/hour.

Based on the given conditions,

In 1927 charles lindberg had his first solo flight across the atlantic ocean.

He flew 3610 miles in 33.5 hours

So,

We can write,

To find out the unit rate, divide the total distance by the total time

Then,

33.5 hours = 3610 miles

1 hour = x miles

Cross Multiply

33.5 hours × x miles = 3610 miles × 1 hour

x miles = 3610 miles × 1 hour/33.5 hours

x miles = 107.76119403 miles

Approximately = 107.76 miles per hour

Therefore,

In 1927 charles lindberg had his first solo flight across the atlantic ocean, then the he fly each hour 107.76 miles/hour.

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#1

y=x+5

#2

y=3/8

#3

Reflection by y axis as x will be negative and shifting 2 units right

#4

y=6x+1

#5

y=x-11

#6

y=8x

Horizontally streched by 1/8 factor

Answer:

1.  Translated 5 units left.

2.  Vertical stretch by a factor of 3/8.

3.  Reflection in the x-axis, then translated 2 units down.

4.  Vertical stretch by a factor of 6, then translated 1 unit up.

5.  Translated 11 units down.

6.  Vertical stretch by a factor of 8.

7.  Vertical stretch by a factor of 1/3, then reflection in the x-axis.

Step-by-step explanation:

Transformations

For a > 0

\(f(x+a) \implies f(x) \: \textsf{translated $a$ units left}.\)

\(f(x-a) \implies f(x) \: \textsf{translated $a$ units right}.\)

\(f(x)+a \implies f(x) \: \textsf{translated $a$ units up}.\)

\(f(x)-a \implies f(x) \: \textsf{translated $a$ units down}.\)

\(a\:f(x) \implies f(x) \: \textsf{stretched parallel to the $y$-axis (vertically) by a factor of $a$}.\)

\(f(ax) \implies f(x) \: \textsf{stretched parallel to the $x$-axis (horizontally) by a factor of $\dfrac{1}{a}$}.\)

\(-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}.\)

\(f(-x) \implies f(x) \: \textsf{reflected in the $y$-axis}.\)

Parent function:

\(y=x\)

\(\textsf{1.} \quad y=x+5\)

Translated 5 units left.

\(\textsf{2.} \quad y=\dfrac{3}{8}x\)

Vertical stretch by a factor of 3/8.

\(\textsf{3.} \quad y=-x-2\)

Reflection in the x-axis, then translated 2 units down.

\(\textsf{4.} \quad y=6x+1\)

Vertical stretch by a factor of 6, then translated 1 unit up.

\(\textsf{5.} \quad y=x-11\)

Translated 11 units down.

\(\textsf{6.} \quad y=8x\)

Vertical stretch by a factor of 8.

\(\textsf{7.} \quad y=-\dfrac{1}{3}x\)

Vertical stretch by a factor of 1/3, then a reflection in the x-axis.

Answer:

Irrational

Step-by-step explanation:

The constant \(\pi\), or "pi", is an irrational mathematic constant that corresponds to a non-terminating (never-ending decimal). Because there are an infinite number of digits in pi, pi cannot be expressed as a fraction and therefore is irrational.

Multiplying or adding a rational number does not make pi rational, and therefore the desired answer is (D) Irrational.

Answer:

80

Step-by-step explanation:

honestly it depends on the question but if it's addition, this is the answer

Answer:

Step-by-step explanation:

-2 x 14 = -28

b is the answer

For the training adaptation of maximum strength, 1 to 5 repetitions per set is recommended.

The one-repetition maximum test, also called a one-rep max or 1RM, is used to find out the heaviest weight you can lift just once.

If Maximal strength is desired, it is best achieved by performing  repetitions at  85 to 100 % of the one-repetition maximum (1RM).

Formula to find the repetition is

weight used x (reps done x 0.33 + 1) =  1RM

so,

Reps done = {{1RM/weight used} - 1}/ 0.33

By this find the no of reps are recommended for maximum strength.

The maximum strength is achieved by doing the number of reps by 85 to 100% of the value of 1 RM.

So,

For the training adaptation of maximum strength, 1 to 5 repetitions per set is recommended.

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R carries inversely as the cube S . If R=9 when S=3 ,  S= 4, when R= 243÷64.

Inverse proportionality is a mathematical relationship between two variables, in which an increase in one variable leads to a decrease in the other variable in such a way that their product remains constant. In other words, if the value of one variable is multiplied by a certain factor, the value of the other variable will be divided by the same factor.

Mathematically, two variables x and y are said to be inversely proportional if their relationship can be expressed as:

x * y = k

where k is a constant, and the symbol * denotes multiplication.

For example, the distance travelled by a car is inversely proportional to the time taken to travel that distance, assuming the car maintains a constant speed. If we let d represent the distance travelled and t represent the time taken, then we can express their relationship as:

d * t = k

where k is a constant

If R varies inversely as the cube of S, then we know that:

R ∝ \(\frac{1}{S^{3} }\)

We can express this relationship using a proportionality constant k:

R = \(\frac{k}{S^{3} }\)

To find the value of k, we can use the given information that R = 9 when S = 3:

9 = \(\frac{k}{3^{3} }\)

9 = \(\frac{k}{27 }\)

k = 9 * 27

k = 243

Now we can use this value of k to find S when R = \(\frac{243}{64}\):

\(\frac{243}{64}=\frac{243}{S^{3} }\)

Simplifying this equation, we get:

S³ = \(\frac{243*64}{243}\)

S³ = 64

S = ∛64

S = 4

Therefore, when R = \(\frac{243}{64}\), S = 4.

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Answer:

February, it's the shortest month after all.

Answer: February

Step-by-step explanation: People sleep the least amount of time in February because it is the shortest month out off all the months. Your welcome :)

Answer:

4 Carrots

Step-by-step explanation:

6/1.5 =4

Answer:

4

Step-by-step explanation:

Find how many times you can fit 1.5 into 6 by dividing. this will result in an answer of 4 times