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miv72 [106K]
3 years ago
9

I NEED HELP PLEASE, THANKS! :)

Mathematics
2 answers:
viktelen [127]3 years ago
8 0

Answer:  a) y = 250(0.4)ˣ

                b) 0.065536

<u>Step-by-step explanation:</u>

Create a system of equations in the form y = a(b)ˣ

  • where y is the Relative Brightness
  • x is the Stellar Magnitude

Equation\ 1: 100=a(b)^1\\Equation\ 2: 40=a(b)^2\\\\\\\text{Set each equation equal to a to solve for b:}\\Equation\ 1: \dfrac{100}{b}=a\qquad Equation\ 2: \dfrac{40}{b^2}=a\\\\\\\dfrac{100}{b}=\dfrac{40}{b^2}\\\\\\100b^2=40b\\\\0.4=b

Now insert b = 0.4 into one of the equations to solve for "a":

100=a(0.4)^1\\\\\\\dfrac{100}{0.4}=a\\\\\\\dfrac{1000}{4}=a\\\\\\250=a

Now we have our equation for part (a) y = 250(0.4)ˣ

For part (b), replace the x with 9 and solve.

y = 250(0.4)⁹

 = 0.065536

yulyashka [42]3 years ago
5 0

Answer:

a. y = 250 (0.4)^x

b. 0.066

Step-by-step explanation:

The equation can be modeled as a geometric sequence, where the first term is 100 and the common ratio is 0.4.

y = 100 (0.4)^(x − 1)

This can also be simplified to:

y = 250 (0.4)^x

When x = 9:

y = 250 (0.4)^9

y = 0.066

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If x is the principal square root of 7, what must be true.
fredd [130]

Answer:

B

Step-by-step explanation:

x=√7

squaring

x²=7

8 0
3 years ago
Combine like terms and apply the distributive property to create an equivalent expression:
chubhunter [2.5K]

Answer:

Equivalent expression is 15a+8b

Step-by-step explanation:

Given expression is,

2\left(5a+3b\right)+5a+2b

First step is to apply distributive property. The property states that,

a\left(b+c\right)=ab+ac

Applying the property,

2\left(5a\right)+2\left(3b\right)+5a+2b

Simplifying,

10a+6b+5a+2b

Collecting like terms,

10a+5a+6b+2b

Combining the like terms,

15a+8b

Therefore, equivalent expression is 2\left(5a+3b\right)+5a+2b=15a+8b

6 0
4 years ago
An eagle has a forward force due to its wings at 6N the drag force is 4N backwards and it's lift force is 20 N upward what is th
Komok [63]

Answer:

20.1 N at 84°

Step-by-step explanation:

The forward force is 6 N and the drag force is 4 N, giving a net forward force of 2 N.

To this, we add the upward force of 20 N.

The upward and the forward forces are at right angles to each other, so we can use the Pythagorean theorem to determine the resultant (i.e., the hypotenuse of the right triangle).

R² = 2² + 20² = 4 + 400 = 404

R = √404 ≈ 20.1 N

tanθ = 20/2 = 10

θ = arctan10 ≈ 84°

The net force is 20.1 N at an angle of 84°.

The angle is only 6° from the vertical, so the eagle is going almost straight up.

7 0
3 years ago
Helppppppppppppppppppppppp
Fofino [41]
MN and OL would both have a slope of 2.

You can find this by finding the slope perpendicular to the slope of LM, which is -1/2.
To find the perpendicular slope, find the negative reciprocal. Reciprocal= 2/-1. Then find the negative of -2/1, which is 2/1 or 2.
5 0
3 years ago
What is the value of x?<br><br><br>Got answer its 8
erastova [34]

Answer:

x = 80°

Step-by-step explanation:

To solve this we just need to know that the sum of the inner sides of a triangle will always give us 180 °

from here we only have to apply a simple formula by adding the sides of the triangle and knowing that the result is 180 and from there clear the value x that we need to find out

70 + 30 + x = 180

x = 180 -30 - 70

x = 80°

3 0
3 years ago
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