Standard form question

Standard Form Question

Answers

Answer 1

Answer:

 1.64×10^7 km

Step-by-step explanation:

The Pythagorean theorem can be used to find the hypotenuse of this right triangle.

  QR² = PQ² +PR²

Expressing the given distances as multiples of 10^7 km, we have ...

  QR² = 0.36² +1.6² = 0.1296 +2.5600 = 2.6896

  QR = √2.6896 = 1.64

The shortest distance between planets Q and R is 1.64×10^7 km.


Related Questions

The Suarez family paid $16.00 for 4 movie tickets. How much would they have paid for 12 tickets?

Answers

Answer:

$48

Step-by-step explanation:

Each ticket costs 4 dollars.

Guys help me on this one please…

Answers

Answer: 6. 35 hours

7. 741 Miles

8. 1.5 or 1.54

Step-by-step explanation:

6. 142.20/6=23.7

829.50/23.7=35

7. 117/3=39

39x19=741

8.19/12.35=1.538

For the expression:
(9x^2 + 4y^2 -12xy) / (4y^2 - 9x^2)

Find the domain

Answers

Answer:

Interval Notation (-∞, ∞)

Set-Builder Notation: {x|x ∈ R} (all real numbers = R)

Step-by-step explanation:

I plugged this into a graphing calculator and was able to find the domains by looking at where the lines stopped (they didn't stop) and wrote the f(x) based off of it

PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 3

Answers

Problem 1

Answer: Choice A

[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]

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

Explanation:

The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.

a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to year

The 1.08 represents an increase of 8% because,

1.08 = 1 + 0.08 = 100% + 8% = 108%

=======================================================

Problem 2

Answer: Choice C

[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]

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

Explanation:

The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.

=======================================================

Problem 3

Answer: Choice C

30 feet; major axis

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

Explanation:

Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.

Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.

what’s the domain and range of this graph ? PLEASE HELP URGENT

Answers

Step-by-step explanation:

Domain -5 range 5 ,...............

PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20​

Answers

Answer:

x³ - 8x² - 20x

Step-by-step explanation:

Zeroes: 10, 0, -2

Factors are: (x - 10), (x - 0), (x + 2)

Multiply all factors to get expression:

(x - 10)x(x + 2) = x(x - 10)(x + 2)

= x(x² - 10x + 2x - 20)

= x(x² - 8x - 20)

= x³ - 8x² - 20x

Graph (y=-2x+5)

Plz have it answered in 5 min.
It is on Khan Academy

Answers

Answer:

eeeeee

Step-by-step explanation:

eeeeeeee

Please help. Due in 30 mins!!

Answers

1: 1.645

2. 1.28

4: 95% confidence level (12.93, 13.87)

3: No Idea

5: sorry im a bit rusty

Im so sorry for not answering all you questions

Travel back in time to the year 2008, when text messages were charged per text. Some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that. Today, most packages include unlimited text and data but cost closer to $100 a month.

Answers

In 2008, up to 405 messages could be sent without spending more than $ 100.

Since in 2008, text messages were charged per text, and some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that, while today, most packages include unlimited text and data but cost closer to $ 100 a month, to determine the range of text messages you can send with the 2008 plan without spending more than $100, the following calculation must be performed:

(41 / 0.2) + 200 = X 205 + 200 = X 405 = X

Thus, in 2008, up to 405 messages could be sent without spending more than $ 100.

Learn more about maths in https://brainly.com/question/25908673

finding the missing number 2 4 6 __ 10 12​

Answers

Answer:

8 because the pattern goes up by 2 each time

Answer:

8

Step-by-step explanation:

solve for g. bf-5k=c(g+2k)

Answers

Answer:

hope it helps.

stay safe healthy and happy.

Answer:

In bold below.

Step-by-step explanation:

bf-5k=c(g+2k)

g + 2k = (bf - 5k)/c

g =  (bf - 5k)/c - 2k

If y = 6, what is the value of x given 8x + 5y = 62?
Answer:

Answers

Answer:

2sqearhahah joke bye hahah

the answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

Do it on a piece of paper and put it in the answer box ASAP

Answers

Just do it as a reference cause you’ll never learn if you use Brainly especially on tests I learned that the hard way trust me

Step-by-step explanation:

absolutely. there is no mathematical problem to solve.

just do what the instructions tell you.

that is an exercise for you to get a feeling what is what.

What three fractions are greater then 1/2 but less then 1

Answers

Answer:

5/8

6/7

2/3

Step-by-step explanation:

100 drops of water weigh 9 grams so how many tons do 100 million drops of water weigh

Answers

Answer:

100 drops of water weigh about 9 grams. So how many tons do 100 million drops of water weigh?

Step-by-step explanation:

please mark my answer in brainlist plz

100 drops = 9 grams
100 million is 100 x million
so 9 x million is 9 million

Huilans age is two times Thomas’s age. The sum of their ages is 42. What is Thomas’s age?

Answers

Answer:

14

Step-by-step explanation:

14+28=42, 28/14=2

14 ,, 42/3 !! this is the correct way !

Between which two integers does 7/3 lie?

Answers

Answer:

2 and 3

Step-by-step explanation:

7/3=2 1/3

So it lies between 2 and 3

2 1/3 is lesser that 3 but more than 2.

HELP ME OUT PLEASE!!!

What is the equation of this line?​

Answers

Answer: THe Second answer is the correct one

Step-by-step explanation:

Answer:

y = 3x-2

Step-by-step explanation:

Help help help help help help help MATH MATH

Answers

Answer:

60

Step-by-step explanation:

Expand ; 3(1-x/2)^2​

Answers

Answer:

[tex]3 {( \frac{1 - x}{2}) }^{2} = 3 \times {(1 - x)}^{2} \div {2}^{2} \\ =3 \times (1 - 2 \times 1 \times x + {x}^{2}) \div 4 \\ = 3 \times (1 - 2x + {x}^{2} ) \div 4 \\ = \frac{3}{4} (1 - 2x + {x}^{2})[/tex]

[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]

(4.03 MC) the table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal / number of cup of raisins
8 4
10 5
12 6

Answers

8 : 2  

8+ 4 = 12    2 + 1 = 3

12 : 3

12 + 4 = 16   3 + 1 = 4

16 : 4

16 + 4 = 20   4 + 1 = 5

20 : 5

20 + 4 = 24   5 + 1 = 6

24 : 6

24 + 4 = 28   6 + 1 = 7

28 : 7

28 + 4 = 32   7 + 1 = 8

32 : 8

32 + 4 = 36   8 + 1 = 9

36 : 9

36 + 4 = 40   9 + 1 = 10

40 : 10

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

Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.

Have a great day/night! :D

If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.

A) y = –28x
B) y = –7x
C) y = –28∕x
D) y = –7∕x

Answers

Answer:

C

Step-by-step explanation:

Given y ∝ [tex]\frac{1}{x}[/tex] then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 2 when x = 14 , then

- 2 = [tex]\frac{k}{14}[/tex] ( multiply both sides by 14 )

- 28 = k

y = - [tex]\frac{28}{x}[/tex] ← equation of variation

What are the roots of the equation x^2+18x+90=0x
2
+18x+90=0 in simplest a+bia+bi form?

Answers

[tex]x^2 +18x +90 = 0\\\\\text{Apply quadratic formula,}~~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a} \\\\\text{In this case, a = 1 , b = 18 and c = 90.}\\\\\implies x = \dfrac{-18 \pm \sqrt{18^2 - 4 \cdot 1 \cdot 90}}{2(1)}\\\\\implies x = \dfrac{-18 \pm \sqrt{-36}}2\\\\\implies x = \dfrac{-18 \pm 6i}2\\\\\implies x= -\dfrac{18}2 \pm \dfrac{6i}2\\\\\implies x= -9 \pm 3i[/tex]

Jamal wrote that 9 – 8.4 = 6
A) less than
B)greater than
need answer for both drop down menu

Answers

Answer:

See below

Step-by-step explanation:

9 and 8.4 are less than 1 apart, so 9-8.4 must be less than 1. The actual difference is 9-8.4=0.6 which verifies that our answers are true since 0.6<1.

45% of the people in the stadium are men, 23% of them are woman and the rest are children. What fraction of the people are children?​

Answers

Answer:

8/25 of the people in the stadium are children.

Step-by-step explanation:

45 + 23 = 68

100 - 68 = 32%

32/100 simplified is 8/25

This is Comparing Quantities

3 days to 40 hours
pls help me ​

Answers

Answer:

1 days= 24 hrs

3 days = 3×1 days

= 3×24 hrs

= 72 hrs

Ms.Thomas ordered 5 pencil packs, n notebooks, and 5 sets of makers. Write an algebraic expression that represents the cost of Ms.Thomas’s order

Answers

5(1.50)+5(2.50)+2n
or
7.5+12.5+2n
20+2n= Cost


If a square has an area of 49 ft', what is the length of one of its sides? The perimeter?

Answers

Answer: 12.25 ( each side )

Step-by-step explanation

Divide 49 by 4, which is 12.25

Calvin and Sanjay are each thinking of a number. If you multiply Sanjay’s number by 3 and subtract
2, you get Calvin’s number. If you take half of Calvin’s number and then subtract 2, you get Sanjay’s
number. What number is each thinking of?

Answers

Answer:

Calvin's number: 16 Sanjay's number: 6

Step-by-step explanation:

6 x 3 = 18, 18 - 2 = 16

16 / 2 = 8, 8 - 2 = 6

In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the graph of f(x) = 3-x + 1 - 5.

Answers

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Step-by-step explanation:

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