Neptune is about 2,700,000,000 miles from earth mercury is about 135,000,000 miles from earth determine how many times farther it is from earth to Neptune

Answer:

12.1 seconds

Step-by-step explanation:

84.7/7 = 12.1

Answer:

12.1

Step-by-step explanation:

Divide the 84.7 by the # of people on team (7)

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

No it is not a solution

Step-by-step explanation:

To solve this, you should replace your (x,y) with (8,3)- 8 being your x value and 3 being your y value.

So this inequality, your y value is supposed to be bigger than the value of whatever 3x-4 equals.

So, your inequality should be 3>3(8)-4

3*8=24-4=20

So is 3>(greater than)20? No. Which then means that (8,3) is not a solution because it would make the inequality not true.

Hope this helps!

Given: The point and the slope below

To Determine: The equation o fthe line passing through the given point and slope

Solution

The formula for finding the equation of a line passing through a point and slope is

Substitute the given into the formula

Hence, the equation of the line passing through the given point and slope is

y + 8x = 139

30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.

Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,

⇒ x + y = 60 ⇒ x = 60 - y ----(1),

Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,

⇒ 28% of x + 16% of y = 22% of 60

⇒ 0.28x + 0.16y = 0.22 × 60

⇒ 0.28x + 0.16y = 13.2

⇒ 28x + 16y = 1320

⇒ 14x + 8y = 660

From equation (1),

14(60-y) + 8y = 660

840 - 14y + 8y = 660

6y = 180

y = 30

Again from equation (1),

x = 60 - y

= 60 - 30

= 30

Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%

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I calculated this myself, and I got the answer 3/4, but I'm trash at explaining long problems. So here is what I found to help explain it. It's not a link.

"If (p, r) lies on the line y = x + b, then

r = p + b…. (1)

If (2p, 5r) lies on the line y = 2x + b, then

5r = 2(2p) + b

or 5r = 4p + b…. (2)

Subtracting equation (1) from (2), we get

5r - r = 4p + b - p - b

4r = 3p or r/p = 3/4"

Since I don't believe in plagiarism here's the person who is a life saver at explaining things.

(Mohammad Faizan)

PS. I really did try to explain it myself, only to give myself a headache, so please don't be mad and report me. I only wanted to help.

Answer:

a

Step-by-step explanation:

Answer:

∠ 3 = 35° , ∠ 7 = 145° , ∠ 8 = 35° , ∠ 5 = 145°

Step-by-step explanation:

∠ 3 and ∠ 1 are vertically opposite angles and are congruent , then

∠ 3 = 35°

-----------------

∠ 3 and ∠ 5 are same- side interior angles and sum to 180°, that is

∠ 5 + ∠ 3 = 180°

∠ 5 + 35° = 180° ( subtract 35° from both sides )

∠ 5 = 145°

------------------

∠ 5 and ∠ 7 are vertically opposite angles and are congruent , then

∠ 7 = 145°

--------------

∠ 1 and ∠ 8 are corresponding angles and are congruent , then

∠ 8 = 35°

---------------

Answer: A, C

Step-by-step explanation:

Diagonals of a parallelogram bisect each other, so \(4x-7=2x+1 \longrightarrow x=4\). So \(ED=4(4)-7=\boxed{9}\).

Opposite sides of a parallelogram are congruent, so \(8y-3=3y+7 \longrightarrow y=2\), so \(AD=8(2)-3=\boxed{13}\)

Answer:

2.6, 2 3/5, 2 6/10

Step-by-step explanation:

2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.

Answer:

a) 9*π or approx 28.26

b) ∡CRB=100°

Step-by-step explanation:

As known for secants crossing each other inside the circle is coorect the following:

BR*RD=AR*RC

=> 3*RD=4*4.5

RD=6

The diameter of the circle with center P is BD=BR+RD=3+6=9

So the radius of the circle is D/2=9/2=4.5

As known the circumference of any circle can be calculated as

C=2*π*r  , where r is the circle's  radius

So C=2*4.5*π=9*π= approx   3.14*9=28.26

b) ∡CRB=∡ARD= (arcBC+arcAD),  where arcBC and arcAD smaller arcs

BD is the circle's  diameter, so arc BD=180°

So arcBC=180°-arcCOD=180°-100°=80°

Similarly arcBD=180°

arcAD=180°-arcBSA=180°-60°=120°

∡CRB= (80°+120°)/2=100°

Answer:

the ground level is -2

Step-by-step explanation:

hope this helps

There is a 65.54% probability that the average age of those doctors is under 48.8 years.

Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.

It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.

The possibility of an event occurring increases as it gets higher.

True mean = mean (or average)+/- Z*SD/sqrt (sample population)

Then,

Mean (average) = 48.0 years

The true mean must be less than 48.8 years.

SD = 6.0 years, and

Sample size (n) = 9 doctors

Using Z as the formula's subject:

Z= (True mean - mean)/(SD/sqrt (n))

Inserting values:

Z=(48.8-48.0)/(6.0/sqrt (9)) = 0.4

From the table of normal distribution probabilities:

At Z= 0.4, P(x<0.4) = 0.6554 0r 65.54%

Therefore, there is a 65.54% probability that the average age of those doctors is under 48.8 years.

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Complete question:

The average age of doctors in a certain hospital is 48.0 years old. suppose the distribution of ages is normal and has a standard deviation of 6.0 years. if 9 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 48.8 years. assume that the variable is normally distributed.

The Future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly is $10263.734 ..

The future value of an annuity is the value of a group of regular payments at some point in the future. It assumes a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.

P = PMT× ((1+r)ⁿ −1)/r

where:

P---> Future value of an annuity stream

PMT---->Dollar amount of each annuity payment

r -->Interest rate (also known as discount rate)

n--->Number of periods in which payments will be

We have given that

Present value for an Annuity = $200

compounded rate , r = 13%

but compounded quarterly, then, r = 13%/4

= 0.13/4 = 0.325

Number of years , n = 2 + 1/2 = 5/2

then change into quarterly, n = 5/2 × 4 = 10

Future value formula ,

F.V = PMT ( (1+i)ⁿ - 1)/r

=> Future value = 200((1+0.325)^10/0.325)

=> F.V = 10263.734

Hence, the future value of an annuity is $10263.734..

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Answer: The answer is D: 7 1/2.

Step-by-step explanation:

Answer:

6x? 6+x

Step-by-step explanation:

im not that sure but hope this helps

Answer:

2 and 4

Step-by-step explanation:

2+4 = 6

6/2 = 3

average is sum of number divided by how many numbers there are.

A counterexample to the above rule of the average of two consecutive even numbers being even are 8 and 10.

A counterexample is one that disproves a logic.

The consecutive even numbers of 8 and 10 will give an average of:

= Sum of even numbers / 2

= (8 + 10) / 2

= 18 / 2

= 9

9 is not an even number so we can conclude that 8 and 10 are counterexamples to the above rule.

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Answer:

9 ft

Step-by-step explanation:

CO and ZH are both 86°, and the dashes in the lines indicate congruence. Since CO is 9ft, ZH must also be 9ft.

Also, I took the test.

The probability of not drawing a 5 from the deck is 48/52.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

There are 4 number 5's in the deck of 52 cards.

They are as follows:

The 5 of clubs, the 5 of spades, the 5 of hearts, and the 5 of diamonds.

Using the formula,

Probability = (Number of possible outcomes)/(Total number of outcomes)

The probability of drawing a 5 from the deck is 4/52.

The probability of not drawing a 5 from the deck is 48/52.

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Answer:

The large number is 17

Step-by-step explanation:

x+y=31⟹x=31−y

2x=y+11⟹x=y+11/2

2(y+11/2)=2(31−y)

y+11=62−2y

3y=51

y=17    x=14

Hope this helps, have a nice day! :)

Answer:

5/12

Step-by-step explanation:

Total chocolate=12

White=3

Milk=4

Dark=x

White+milk+dark=3+4+x

=7+x

12=7+x

x=12-7

x=5

Therefore,

Dark=5

Probability that Lily first chooses a dark chocolate from the box= No. Of dark chocolate/Total no. Of chocolate

=5/12

Answer:

The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.

In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:

The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.

The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.

The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.

Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).

The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Recall the compounding formula:

A = P * \(e^{rt}\)

Where:

A = Final amount in the account

P = Initial principal (deposit)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Given:

Initial principal (P) = $16,000

Annual interest rate (r) = 2%  = 0.02

time (t) = 4 years.

Substitute these values into the formula, we get:

A = $16,000 * \(e^{0.02 * 4}\)

Using a calculator, we can calculate:

A = $16,000 * \(e^{0.08}\)

A = $16,000 * 1.0833

A = $17,332.8

Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

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Answer:

36.67 %

Step-by-step explanation:

Pass mark = 110 marks

Total mark = 300 marks

Pass percentage=

\( \frac{pass \: mark}{pass \: percentage} \times 100\)

Substitute values into the equation

\( \frac{110}{300} \times 100\)

Cross cancel common factor: 100

\( \frac{110}{3} = 36 \frac{2}{3} \% \: or \: 36.67 \%\)

On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)

by herons formula

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

s = a+b+c/3

s = 5+2+5+/3 =12/3 = 4

Area of the triangle is, A =

\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)

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Answer:

2.828

Step-by-step explanation:

The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

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Answer:

3j+5d

if this was helpful please mark brainliest. Have a great day.

Answer:

3j+5d

lol.............