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horrorfan [7]
3 years ago
15

Last question of the day for 20 points :)

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

Answer:

When x=0, y=4...

Therefore:

4=a*b⁰

b⁰=1, so a=4.

----------

When x=1, y=2...

Therefore:

2=4*b¹

4b=2

b=2/4

So... b=1/2.

This means that:

y=4*((1/2)^x)

Step-by-step explanation:

Jobisdone [24]3 years ago
6 0
When x=0, y=4...

Therefore:

4=a*b⁰

b⁰=1, so a=4.

----------

When x=1, y=2...

Therefore:

2=4*b¹

4b=2

b=2/4

So... b=1/2.

This means that:

y=4*((1/2)^x)
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In 2011, U.S. exports of goods and services are $2,094 billion and imports of goods and services are $2,662 billion.
daser333 [38]

Answer:

$-568 billion dollars.

Step-by-step explanation:

2,094 - 2,662= -568.

Hope this helps and good luck!

7 0
3 years ago
Solve for the right triangle given only one side and angle
34kurt

Answer:

CD = √11 and CE = √11

Step-by-step explanation:

We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.

8 0
3 years ago
Read 2 more answers
The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
What is the constant of the expression? 5x−2y+2.4
Leno4ka [110]
The correct answer is the 2.4

The constant in an equation is the number(s) that don't have variables.

This is because variables can change the number they are attached to, making them not constant.

Hope this helps!
6 0
3 years ago
Read 2 more answers
The German Club is planning a ski trip. The club will pay $500 toward the trip, and each member going on the trip will pay $115.
Vedmedyk [2.9K]
500 - y x 115= 2185.

y = 19.
3 0
3 years ago
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