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

A college is selling tickets to the annual battle of the bands
competition. On the first day of ticket sales, the college sold 3
student tickets and 5 adult tickets for a total of $70. On the
second day, the college sold 12 student tickets and 12 adults
tickets for a total of $216.
Use elimination to solve the system of linear equations and
determine the price of each student ticket, x, and each adult
ticket, y. Write your answer as an ordered pair (x,y).

Answers

Answer:

Step-by-step explanation:

Answer:

(10,8)

Step-by-step explanation:

Need help solving homework

Answers

3 + 2 = 1 + 4
2 + 15 = 10 + 7
8 + 9 = 19 - 2
12 - 7 = 14 - 9


Hope this helped!
8+9 and 10+7 are both 17
12-7 and 3+2 are both 5
19-2 and 2+15 are both 17
14-9 and 1+4 are both 5

8+9=10+7=19-2=2+15

12-7=3+2=14-9=1+4

What is the correct factorization of x^2 - 2x - 15?
HURRRYYYY PLS
A. 4
B. 5
C.8
D.12

Answers

Answer:

option b

Step-by-step explanation:

[tex] {x}^{2} - 2x - 15[/tex]

[tex] {x}^{2} - 5x + 3x - 15 = 0[/tex]

[tex] x(x - 5) + 3(x - 5) = 0[/tex]

[tex](x - 5)(x + 3) = 0[/tex]

x = -3 (Not possible)

x = 5

So, x = 5

what is the equation of the line that passes through point [3,-1] and has a slope of 2

Answers

Answer:

y = 2x - 7

Step-by-step explanation:

lmk if you want an explanation

1. Which of the following is the remainder when the polynomial x^2-5x+3 is divided by (x -8)?
(1) 107
(3) 3
(2) 27
(4) 9

Answers

Answer:

27

Step-by-step explanation:

Use synthetic division:

8 | 1 -5 3

   __8_24

    1  3 | 27

Therefore, (x²-5x+3)/(x-8) = x+3 R27

Which of the following points lie in the solution set to the following system of inequalities?
y > -3x + 3
y > x + 2
(2, -5)
(-2, 5)
(2, 5)
(-2, -5)

Answers

Answer:

(2,5)

Step-by-step explanation:

it's the only one that fits

Answer:

(2, 5)

Step-by-step explanation:

Find the sum of 12.351 and 0.5362

Answers

Question:-

Find the sum of 12.351 and 0.5362

Answer:-

12.351 + 0.5362 = 12.8872

In this triangle, cosA/cosB=

Answers

Answer:

1

Step-by-step explanation:

In sohcahtoa:

Cos (c) = adjacent (a) / hypotenuse (h)

cosA = adjacent / hypotenuse. The hypotenuse is 4.24 (the side opposite the right angle) and the side next to A is 3, so cosA = 3/4.24

cosB = adjacent/hypotenuse. The side next to B is 3, so cosB = 3/4.24 as well

Therefore, cosA = cosB

cosA/cosB = cosA/cosA = 1

Which function has a greater rate of change?

Answers

Answer:

A

Step-by-step explanation:

Because

Answer:

Step-by-step explanation:

it’s a

Mr. Schnee is refinancing his home. His loan officer has presented him with the following two offers; it is worth noting that Mr. Schnee is expecting to move back home to Michigan in five years. Using a system of linear equations, help Mr. Schnee decide which offer to take in order to maximize his benefit. Mr. Schnee has already determined that he definitely wants to refinance as he is currently paying $1,744.67.

4.5% Interest Rate for 30 years with a monthly payment of $1,266.71 with $256 Closing Costs
4.0% Interest Rate for 30 years with a monthly payment of $1,193.54 with $10,362 in Closing Costs

Answers

The option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Given that Mr. Schnee is refinancing his home, and his loan officer has presented him with two offers, to determine which offer should he take in order to maximize his benefit, the following calculation must be performed:

A) 4.5% Interest Rate for 30 years with a monthly payment of $ 1,266.71 with $ 256 Closing Costs

1,266.71 x 30 x 12 + 256 = X

1,266.71 x 360 + 256 = X

456,015.60 + 256 = X

456,271.60 = X

B)4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs

1,193.54 x 30 x 12 + 10,362 = X

1,193.54 x 360 + 10,362 = X

429,674.40 + 10,362 = X

440,036.40 = X

Therefore, the option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Learn more about maths in https://brainly.com/question/25866144

2
Which function has a greater rate of change?
Function 1
Function 2
4
3
2
The function whose input x and
output y are related by
1
X+
2
-*x+7
14-3-2-1 1 2 3 4
2
A) Function 1
B) Function 2
C) Neither, they are equal
D) Neither, one is nonlinear

Answers

a) function 1 has a greater rate of change

A student is told to work any 8 out of 10 questions on an exam. In how many different ways can he complete the exam

Answers

Answer:

Step-by-step explanation:

Assuming the order in which he answers the questions matter the answer is the number of permutations of 8 in 10.

This is 10! / (10-8)!

= 1,814.400.

If the order does not matter then the answer is the number of combinations of 8 from 10:

This is 10!/8!*2!

= 45.

The answer is 10^-2/3+5

Answers

Answer:

k

Step-by-step explanation:

WILL MARK BRAINLIEST!!!
PLEASE HELP AND NO LINKS

Answers

Answer:

1000 = 450 + 50w

Step-by-step explanation:

She starts with $450 so that is why you add it. The amount she started with will not change.

She earns $50 per week so you add 50 multiplied by the number of weeks she works.

You do this until it equals 1000

During a 12-hour car ride, each of 4 family members gets to choose the music for an equal amount of time. Write an equation, where t is time, to find out how long each member of the family is in charge of selecting the music.

Answers

t=12/4
If you need to split it equally just divide the whole by the amount of parts you need

ANSWER FOR 30 POINTS

Answers

Answer:

one solution.

Step-by-step explanation:

using elimination, u can get one solution

What is the mean , median , and sum

Answers

Step-by-step explanation:

sum was the first name of integral

and the median is something in the middle

for example :

A . B . C

the median is B

A ball is thrown upward and outward from a height of 8 feet. The height of the ball, f(x), in feet, can be modeled by
f(x) = -0.1x² +0.6x+8
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c).
WEB
a. What is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is feet, which occurs feet from the point of release.
(Round to the nearest tenth as needed.)

Answers

Check the picture below.

let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)[/tex]

[tex]\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}[/tex]

Write and expression for the senqence of operations described below.

raise 6 to the 2nd power, then subtract r from the result

Do not simplify any part of the expression.​

Answers

Raise [tex]6[/tex] to the second power, [tex]6^{2}[/tex], the subtract r from the result, that should be [tex]6^{2} - r[/tex], since we are not to simplify the expression, that's the answer.

Select each equation which is equivalent to 60% of 25.
0.6 • 25 = x
x • 1.6 = 25
610=x25
60100=25x
x25=60100

6.0 • 25 = x

Answers

The equation which is equivalent to 60% of 25 are x • 1.6 = 25, 0.6 • 25 = x and x/25=60//100

Percentages can be expressed as decimals or fractions.

Given the expression 60% of 25, this can b expressed as:

60% of 25 = x

where x is the result of the expression.

60/100 * 25 = x

Expressing 60% as a decimal will give;

0.6 of 25  = x

0.6 * 25 = x

From the expression 60/100 * 25 = x, this can also be written as:

25 = 100/60 x

25 = 10/6 x

25 = 1.6x

Hence the equation which is equivalent to 60% of 25 are x • 1.6 = 25, 0.6 • 25 = x and x/25=60//100

Learn more on equation here: https://brainly.com/question/2972832

With the last of your gold, you decide to buy a Ferrari F50 GT1. It has a maximum speed of 380 km/hour. How fast is that in MPH (miles per hour)

Answers

Answer:

237.5 miles / hour

Step-by-step explanation:

The conversion factor is 1.6 km = 1 mile.

1 mile / 1.6 km = x / 380 km / hour                  Multiply both sides by 380 km/hour

380 km/hr * 1 mile / 1.6km = x

237.5 miles / hour = x

10(11a) what is the answer need help ASAP

Answers

[tex]10(11a) \\ multiply \: \: \: 10 \: \: \: by \: \: \: 11a \\ = 10 \times 11a \\ 110a[/tex]

Answer:

110a

Hope you could get an idea from here.

Doubt clarification - use comment section.

Ok done. Thank to me :>

write as an expression: Fifteen more than the quotient of 24 and a number x. then evaluate when x equals 8

Answers

Answer:

18

Step-by-step explanation:

The expression would be 24/x + 15. 24 divided by 8 is 3 and 3 plus 15 is 18.

If overline BE || overline CD , find the perimeter of triangle ACD . А 6 4 B 10 E x - 4; x - 2 y D 24 20

Answers

The perimeter of a triangle is the sum of its side lengths.

The perimeter of triangle ACD is 40 units

Start by calculating the values of x and y, using the following equivalent ratios

[tex]6 : 4 = x - 2 : x - 4[/tex]

[tex]6 : 10 = 6 + x - 2 : y[/tex]

So, we have:

[tex]6 : 4 = x - 2 : x - 4[/tex]

Express as fraction

[tex]\frac 64 = \frac{x-2}{x-4}[/tex]

Cross multiply

[tex]6x - 24 = 4x - 8[/tex]

Collect like terms

[tex]6x - 4x = 24 - 8[/tex]

[tex]2x = 16[/tex]

Divide both sides by 2

[tex]x = 8[/tex]

Also, we have:

[tex]6 : 10 = 6 + x - 2 : y[/tex]

Express as fraction

[tex]\frac 6{10} = \frac{6 + x -2}{y}[/tex]

Substitute 8 for x

[tex]\frac 6{10} = \frac{6 + 8 -2}{y}[/tex]

[tex]\frac 6{10} = \frac{12}{y}[/tex]

Cross multiply

[tex]6y = 120[/tex]

Divide both sides by 6

[tex]y = 20[/tex]

The perimeter of triangle ACD is then calculated as:

[tex]P =6 + x - 2 + y + x - 4 + 4[/tex]

Substitute values for x and y

[tex]P =6 + 8 - 2 + 20 + 8 - 4 + 4[/tex]

[tex]P =40[/tex]

Hence, the perimeter of triangle ACD is 40 units

Read more about perimeter at:

https://brainly.com/question/19576164

Help ASAP please. I really need the answer as soon as possible

Answers

Answer:

y intercept is 6 and the rate of change is Y=3x+6

Step-by-step explanation:

Answer:

y intercept = 6

rate of change = -4

Step-by-step explanation:

the line hits the y axis at 6 so that is the y intercept

The line falls 4 and goes over 1

I hope this helps!!

EC
What is the Arabic numeral for this Roman numeral?
VII
07
09
08
STUR

Answers

Answer:

07

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

V = 5

I = 1

V + I + I = 5 + 1 + 1 = 7

Hope that helps

How many minuteds does it take to make one balloon sculpture? How many balloons are used in one sculpture

Answers

Answer:

It will take 5 minutes to make one balloon structure. 7 balloons are used in 1 sculpture For part b the answer would be: Tom's unit rate for balloons used per minute would be 1.4

Step-by-step explanation:

2^x+2=4. yall i got this problem and i dont rlly understand how to do it. Hope yall can help me:)))))))))))))))

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Ok, so we start off with [tex]2^x+2=4[/tex]

Then, we subtract 2 from both sides so that becomes: [tex]2^x+2-2=4-2[/tex]

After that, we simplify to get: [tex]2^x=2[/tex]

Finally, the solution becomes: [tex]x=1[/tex]

Answer:

x=1

Step-by-step explanation:

2^x=4-2

2^x=2

2^x=2^1

x=1

PLEASE HELP ILL GIVE5 STARS HELP ASAP

Answers

Answer:

H+2

Step-by-step explanation:

Please mark brainliest

I need help finding the value of z!

Answers

Answer:

thus

Step-by-step explanation:

Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.

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