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Nimfa-mama [501]
2 years ago
11

Helpppppppppppppppppp

Mathematics
1 answer:
EastWind [94]2 years ago
7 0

Answer:

1) 4 bottles

2) $0.75

3) $5.25

Step-by-step explanation:

1)9/3 = 3 so you must divide 12 by 3

12/3=<u>4 bottles</u>

2)12/1=12

divide 9 by 12

9/12 =<u>$0.75</u>

3)12/7 =\frac{12}{7} (The actually number is too long to write so just leave it in fraction form)

9÷12/7=<u>$5.25</u>

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Find the vector equation of the line through the points (1, 2, −1) and (2, 4, 5). Is the point (−5, −10, −37) on this line?
pav-90 [236]

Answer:

(1+t, 2+2t, -1+6t); C is on this line.

Step-by-step explanation:

Let's find the vector equation of the line.

Given information:

Point A is (1, 2, -1)

Point B is (2, 4, 5)

Point C is (-5, -10, -37)

The difference between the two first given points (A, B) is:

B-A=(2, 4, 5)-(1, 2, -1)=(2-1, 4-2, 5-(-1))=(1, 2, 6) which is called the direction vector, so the equation is:

(x, y, z)=(1, 2, -1) + t*(1, 2, 6)=(1+t, 2+2t, -1+6t)

Now let's find if point C is on the line:

(x, y, z)=(1, 2, -1) + t*(1, 2, 6)

(-5, -10, -37)=(1, 2, -1) + t*(1, 2, 6)

(-5, -10, -37)-(1, 2, -1)=t*(1, 2, 6)

(-5-1, -10-2, -37+1)=t*(1, 2, 6)

(-6, -12, -36)=t*(1, 2, 6) from where we can obtain:

1*t=-6 --> t=-6

2*t=-12 --> t=-6

6*t=-36 --> t=-6

In conclusion, because from all the equations we obtained t=-6, then point C is on this line.

7 0
2 years ago
An investment made in the stock market decreased at a rate of 2.2% per year for 10 years. What is the current value of
never [62]

Answer:

$800,500 (nearest dollar)

Step-by-step explanation:

The given scenario can be modeled as an <u>exponential equation</u>.

<u>General form of an exponential function</u>:

 f(x)=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

The initial value (a) is the value of the investment.

Therefore, a = 1,000,000.

If the investment <u>decreases</u> by 2.2% each year, then it will be 97.8% of the previous year.

Therefore, b = 97.8% = 0.978.

Substitute these values into the formula to create a general equation for the scenario:

f(x)=1000000(0.978)^x

(where x is the time, in years).

To find the value of the investment after 10 years, substitute x = 10 into the formula:

\implies f(10)=1000000(0.978)^{10}=800500.1586

Therefore, the value of the investment after 10 years is $800,500 (nearest dollar).

Learn more about exponential functions here:

brainly.com/question/27949445

brainly.com/question/27955470

3 0
1 year ago
Find the volume of the given shape. Round your answer to the nearest<br> hundredth if necessary
xz_007 [3.2K]

Answer:

volume of sphere =4/3πr^3=4/3*22/7*6*6*6=905.14m^3

4 0
3 years ago
What property is this?<br><img src="https://tex.z-dn.net/?f=2%285%20%2B%20x%29%20%5C%5C%202%285%29%20%2B%202%28x%29" id="TexForm
Natali5045456 [20]
Distributive property
4 0
3 years ago
Find the perimeter and area of the polygon shown below.
prohojiy [21]

Answer:

I would say it's d (sorry if im wrong)

3 0
2 years ago
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