The weight y of an object on Titan, one of Saturn's moons, is proportional to the weight


x of the object on Earth. An object that weighs 105 pounds on Earth would weigh 15


pounds on Titan. How much would a spacecraft that weighs 3500 kilograms on


Earth weigh on Titan?

Answer:

$717,393.12

Step-by-step explanation:

The 30/6 balloon mortgage means that she would make monthly payments for the first six years, while the balance outstanding after 6 years is paid by making one large payment.

The 30 implies that monthly payment should be computed on the basis it is a 30-year mortgage.

Loan amount=monthly payment*(1-(1+r)^-n/r

loan amount=$549,000

monthly payment=the unknown

r=monthly interest rate=5.35%/12=0.004458333

n=number of monthly payments in 30 years=30*12=360

549000=monthly payment*(1-(1+0.004458333)^-360/0.004458333

549000=monthly payment*(1-0.201607475)/0.004458333

549000=monthly payment*0.798392525/0.004458333

monthly payment=549000*0.004458333/0.798392525=$ 3,065.69

Total monthly payments for6 years=$ 3,065.69*12*6=$220,729.68

The ballon payment is the present value of monthly payments for 24 years remaining

Financial calculator:

N=288(24*12)

PMT=3065,69(monthly payment)

I/Y=5.35/12(monthly interest rate)

FV=0(balance after payments is nil)

CPT PV=$496,663.41    

Total payments=$496,663.41  +$220,729.68=$717,393.09  

Answer:

90,56,7867,45,89,45,24,67

Answer:

(a) <1 & <6    (b) <5 & <6  (c) 7 & <3

Step-by-step explanation:

Vertical angles are angle that make an X

Linear pair angles are next to each other

Supplementary angles are angles that form a straight line

Answer:

a) 1 and 6 , 3 and 8, 7 and 4, or 2 and 5

b) 5 and 6

c) 1 and 5

Step-by-step explanation:

Answer:

x ≈ 2.4

Step-by-step explanation:

Area of the triangle = 1/2 absin theta

Find the diagram of the triangle attached

a = 2x-3

b =x+2

theta = 45°

Substitute and find x

4√2 = 1/2(2x-3)(x+2)sin45

8/√2 = (2x-3)(x+2)(1/√2)

8 = (2x-3)(x+2)

Expand

8 = 2x²+4x-3x-6

2x²+x-6-8=0

2x²+x-14 = 0

x = -1±√1²-4(14)(2)/2(2)

x = -1±√1+112/4

x = -1±√113/4

x = -1+10.63/4

x = 9.63/4

x = 2.4

The value of x is 3.075.

Given that,

The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,

and [tex]\theta[/tex] is 45 degrees.

The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).

We have to determine

The value of x.

According to the question

The area of the triangle is determined by the following formula,

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]

Substitute all the values in the formula

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]

[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]

The value of x can not be negative so the value of x is 3.075.

Hence, The required value of x is 3.075.

For more details refer to the link given below.

https://brainly.com/question/15894203

Answer:

A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.

Step-by-step explanation:

Answer:

320√2

Step-by-step explanation:

4 * 8√200

= 4 * 8√2√100

= 32 * √2 * 10

= 320√2

Answer:

5.25ft

Step-by-step explanation:

i got the question right so thats it

Answer:

5 1/4

Step-by-step explanation:

5 1/4 to decimal form is 5.25

Answer:

-12

Step-by-step explanation:

3x×-4x

3×-4xto the power 1-1

-12×1

12

plz make me brainliest

First translate the question into an equation.

"What percent" means x/100, "of 40" means times 40, "is 14" equals 14.

So we have (x)(40) = 14 or 40x = 14.

Dividing both sides by 40, we find that x = 0.35.

Now, we want to write our answer as a percent.

So we move the decimal 2 places to the right and we have 35%.

Answer:

£200

Step-by-step explanation:

Answer:

B. Phoebe

Step-by-step explanation:

Let's find the slope of the line that passes through (12, 5) and (12, 9).

Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 5}{12 - 12} = \frac{4}{0} [/tex] = undefined.

14 can't be divided by zero. Therefore, it is concluded that the slope of the line is undefined.

Therefore, Phoebe is correct.

Answer: 27 ounces of chicken.

Step-by-step explanation:

Sara has 2 pounds of chicken.

She uses 5 ounces of chicken.

So now, she has:

(2 pounds - 5 ounces ) of chicken.

To perform this subtraction, we first need to write bot quantities in the same units.

First, we know that:

1 pound = 16 ounces.

Then we can rewrite 2 pounds, this is equal to 2 times 16 ounces.

2 pounds = 2*16 ounces = 32 ounces.

Then initially she has 32 ounces, and she uses 5 ounces.

Now she has:

(32 ounces - 5 ounces) = 27 ounces of chicken

Answer:

I think the answer is that her family has eaten 13.72 ounces.

Step-by-step explanation:

So it weighs 28 ounces and her family has eaten 49% of it.

28 multiplied by 49% or 0.49 is 13.72.

I hope this helps!

Answer:

15h + 16

Step-by-step explanation:

Answer:

So he has 20$ to spend.  He spends 4$ to paint them.  That means that after getting the supplies he would have 16$ left to spend on the cars.

Answer:

Step-by-step explanation:

He can spend x dollars on each model and 2x on both:

Correct choice is A.

Answer:

1/9

Step-by-step explanation:

Answer:

125% = 1.25 x 45 = 56.25

Step-by-step explanation:

First 125% as a decimal is 1.25 and the . means multiply if n=45 so 1.25 x 45 = 56.25

Answer:

cos 23 = x/7.8

Step-by-step explanation:

Answer:

x³ + x² + [tex]\frac{9}{x-7}[/tex]

Step-by-step explanation:

Answer:

Jack's age: 86, Priscilla's age: 72

Step-by-step explanation:

Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.

Answer:

Jack is 86 years old,

and Priscilla is 72 years old

Step-by-step explanation:

j = Jack

p = Priscilla

j - 14 = p $\Rightarrow$ j = p+14

j+p = 158

By subsituting the value of j ( first equation) into the second equation, we get:

p+14+p = 158

2p+14 = 158

2p = 144

p = 72.

So, j = 86

Answer:

I think it is -2*3a - (-2b)

sorry if it is incorrect

Answer:

5.6 cm

Step-by-step explanation:

mm to cm is ÷ 10

56 ÷ 10 = 5.6

Answer: 48% 48/100

depends on what you are asking for

Step-by-step explanation:

Answer:

Simplified: (48÷4)(100÷4) = 1225 when reduced to the simplest form. Fraction: 48/100, in simplest form, is 12/25. Percentage: 48%.

Step-by-step explanation:

Answer:

2≤x≤4

Step-by-step explanation:

2 is less than/equal to x; x is less than/equal to 4

Answer:

The solution for the system of equations is (2, 4). This means that for February, both the number of imports and the number of exports was 4.

Step-by-step explanation:

Again, remember that the solutions for a system, in this case two charts, are where the outputs (exports) are the same.

We can see that the exports for both f(x) and g(x) are the same for the month of February (second month).

This means that the solution to our system of equations is (2, 4).

So, the solution means that for the second month February, the number of imports was equivalent to the number of exports: both are 4.

(And lastly, out of the four months given, only February had the same number of imports and exports.)

Answer:

a)

The sample is 60 rewards members for the makeup company

b)

Appropriate population is the entire members of the makeup company

c)

(Email showing new products or emails showing products that were on sale) are the predictor variables and its categorical

d)

the recipient clicked through to the website or not; is the response variable and its also categorical

Step-by-step explanation:

Given the data in the question;

a) What is the sample?

The sample is 60 rewards members for the makeup company

b) What would be an appropriate population to draw inference to based on this sample?

Appropriate population is the entire members of the makeup company.

c)  What is the predictor variable? Is it quantitative or categorical?

The predictor variable is type of emails i.e (email showing new products or emails showing products that were on sale).

This categorical.

d) What is the response variable? Is it quantitative or categorical?

The response variable is; the recipient clicked through to the website or not.

This is also categorical.

Answer:

357.1573 (If you don't round)

Step-by-step explanation:

To find area of a rectangle is to multiply length by width, which in this situation would be 15 by 16.6, which is equal to 249. Next, we need to add this to the area of the semicircle. The area of a semicircle is equal to 1/2 * pi * radius^2 (Because a semicircle is half a circle and a circle's area is pi * radius^2). The radius is equal to half the diameter, which in this case is 16.6. 16.6/2 = 8.3, so the radius is 8.3. If we plug this into the equation, we get that 108.1573 is the area of the circle (If you use 3.14 as pi). 108.1573 + 249 is equal to 357.1573.

Answer:

y = (x + 16)/2

Step-by-step explanation:

y = (x - 6)2 - 4              Switch the x and y variables

x = (y - 6)2 - 4               Solve the (y - 6)2

x = 2y - 12 - 4                Combine like terms

x = 2y - 16                     Isolate the y variable

x + 16 = 2y

y = (x + 16)/2   <----- This is your answer

Hope this helps!

Answer:

7lb 12oz

Step-by-step explanation:

4lb +3lb = 7lb

6oz +6oz = 12oz

Answer: You are smart, figure it out yourself

Step-by-step explanation: