A rocket moves through outer space at 10,500 m/s. At this rate how much time would be required to travel the distance from Earth to the moon, which is 380,000 km?

Answer:

Option b

Step-by-step explanation:

\(\bf \sqrt[3]{8x^{12}y^{5}}=(2^{3}x^{12}*y^{5})^{\dfrac{1}{3}}\)

             \(= (2^{3*\frac{1}{3}})* x^{12*\frac{1}{3}}*y^{5*\frac{1}{3}}\\\\\\= 2x^{4}y^{\frac{5}{3}}\)

Hint:

\((a^{m}b^n)^{p}=a^{m*p} * b^{n*p}\)

Explanation

When two lines are crossed by another line (called the Transversal): Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

so, the angle is

I hope this helps you

G:{3,4,6}->{0,9}

The pairs represent the input (first number in each pair) and the result (second nu.ber in each pair) for the relation G. for example G(3)=9.

The domain is the set of values that the relation can act upon. The range is the set of the values the results can take

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

Answer: D

Step-by-step explanation:

Hope it helps

Answer:

events at A and B are independent because P(A)(B)≠P(A)

Answer:

They are both right.

Step-by-step explanation:

You can make a groups of 3 with 7 people and a groups of 7 with 3 people

                           SORRY IF THIS ISN'T RIGHT

Answer:

$53.6

Step-by-step explanation:

\(\frac{4}{26.8} =\frac{8}{x} \\\\4x=214.4\\x=53.6\)

Answer:

x intercept: (-8,0)

y intercept: (0,2)

In the class, Lucy's score is 6.

In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.

The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.

Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.

Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:

2 + 2 + 4 + 7 = 15

Thus, the the corresponding score at the 15th position is 6.

Therefore, the median score is 6 and consequently Lucy's score is 6.

Learn more about median on:

https://brainly.com/question/14532771

#SPJ1

Answer:

Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:

m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)

m∠4 = m∠2 (since angles 2 and 4 are vertical angles)

Substituting m∠4 = m∠2 into the first equation, we get:

m∠2 + m∠3 = 180

Now we can solve for m∠2 and m∠3:

m∠3 = 43 (given)

m∠2 = 180 - m∠3 = 180 - 43 = 137

Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:

m∠1 = 180 - m∠2 = 180 - 137 = 43

Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.

Answer:

Neither one. They will both result in the same price.

Step-by-step explanation:

To discount an item 10%, you charge 90% of the price of the item. To find 90% of a price, you multiply the price by 0.9.

To discount an item 15%, you charge 85% of the price of the item. To find 85% of a price, you multiply the price by 0.85.

Since multiplication is commutative, multiplying a number by 0.9 and then by 0.85 is the same as multiplying the number by 0.85 first and then by 0.9.

Let's say the item costs x.

Take off the 10% discount first: 0.9x

Now take off the 15% discount: 0.85 * (0.9x)

Now do it the other way.

Take off the 15% discount first: 0.85x

Now take off the 10% discount: 0.9 * (0.85x)

Since 0.85 * 0.9 * x = 0.9 * 0.85 * x, the results are the same.

Answer: neither

A 220lb person on earth would weigh 23.81lb on moon

Given

Weight of an object on moon varies same as that on the planet earth

This means the weights are directly proportional

Weight of person on earth = 162.7lb

Weight of person on moon = 27.66lb

Also,

Weight of person on earth = 220lb

We need to find weight of this person on moon.

Let weight of person on moon be x

According to the data equation can be formed as

27.66 x 220 = 162.71x

3885.2 = 162.71x

x= 23.81

Hence the weight of the person on moon is 23.lb

Learn more about weights at

https://brainly.com/question/10069252?referrer=searchResults

#SPJ1

Answer:

The answer is B

Step-by-step explanation:

Answer:

x = 0 ; x = -1 ; x = 5

Step-by-step explanation:

3x^3-12x^2-15x=0

-> 3x(x+1)(x-5)=0

-> 3x = 0 or x+1=0 or x-5=0

-> x = 0; x = -1 ; x = 5

Answer:

Strong positive correlation

Step-by-step explanation:

The given scatterplot, where the data points are sloping upward:

The stronger the association of the two variables, the closer the Pearson correlation coefficient, r, will be to either +1 or -1 depending on whether the relationship is positive or negative, respectively.  

If the value of the correlation coefficient is 0 < r < 1 then there is a positive linear trend and the data points are scattered around the line of best fit; the smaller the absolute value of r, the less well the data can be visualized by a single linear relationship. The closer the value of r to 0 the greater the variation around the line of best fit.

In the attached screenshot, where I've drawn a line across the graph: it shows that the data points are clustered around the line. It is easier to estimate that the value of r is closer to 1, which implies a strong positive relationship between two variables. My estimate is that r = 0.8.

Therefore, the correct answer is Strong Positive association.

Please mark my answers as the Brainliest, if you find this helpful :)

Answer:

(10, 5π/3)

Step-by-step explanation:

To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the given values, we get:

r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10

θ = arctan((-5√3)/5) = arctan(-√3) = -π/3

Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:

θ = -π/3 + 2π = (5π/3)

Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).

Answer:

(d) 18 in.

Step-by-step explanation:

When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:

P = s1 + s2 + s3, where

P = 2 + 6 + 10

P = 8 + 10

P = 18

Thus, the perimeter of the triangle is 18 in.

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

The probability that she will select a black pen both times if she takes a pen from the box without replacing the first one is 41.176%.

Given that

Six black, four blue, and seven red pens are included in a box. Clarissa takes a black pen at random from the box without even looking.

We have to find what is the probability that she will select a black pen both times if she takes a pen from the box without replacing the first one.

Based on the given conditions, formulate:

7/(7+6+4)

7/(13+4)

7/17

0.41176

41.176%

Therefore, the probability that she will select a black pen both times if she takes a pen from the box without replacing the first one is 41.176%.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ9

Answer:

the answer is 0 .........

The value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

The given integral is;

y = ∫18x sin (9x² + 8) dx

Put u = 9x² + 8

Then, on differentiation

18x dx = du

substitute the values:

y = ∫ sin (u) du.

y = -cos u

Put u = 9x² + 8

y = -cos (9x² + 8) + c

c is the constant of integration.

Thus, the value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

To know more about the indefinite integral, here

https://brainly.com/question/27419605

#SPJ4

the expression will be of variable n and 3 is the multiplicity.

What is polynomials?

Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.

the description of this expression

3(n9)

the variable will be n.

The bracket tells that the number multiply that to 3.

Hence, the expression will be of variable n and 3 is the multiplicity.

Learn more about polynomials, by the following link.

https://brainly.com/question/2833285

#SPJ1

Answer:

lol done

Step-by-step explanation:

Answer:

45 units

Step-by-step explanation:

Answer:

-5=25 ------>x= -5

\(\frac{x}{5}\)= -5 --------> x=-25

-1.2x=-6 --------> x=5

\(\frac{x}{0.5}\) = 50 ---------> x=25

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

Anita should take 1st job with 500$ for a 40-hour work week with higher hourly rate.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

Anita is offered 500$ for a 40-hour workweek.

So for one hour she will get paid is 500/40 = $12.5 hourly

The second offer is $12 hourly.

Therefore, she should take 1st job with 500$ for a 40-hour work week.

Learn more about Rate , by the following link.

https://brainly.com/question/25793394

#SPJ1

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

For more questions on inequalities

https://brainly.com/question/25275758

#SPJ8

Answer: C

Step-by-step explanation:

Answer:

Your answer is B!

Step-by-step explanation:

Because the arrow is on the y-axis, and it started at 250,000. Plz mark as brainliest!