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Dafna11 [192]
3 years ago
10

A biologists uses the equation l = 2a + 13.1 to estimate the length (l), in centimeters, in terms of the age (a), in months. Bas

ed on the model, what is the estimated increase, in centimeters, of the length of the fish each month?
Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

Answer:

b = 3.1

Step-by-step explanation:

Since the length of one of the longer sides, a, has been given to be 6.3, plug it into the equation.

2(6.3) + b = 15.7

12.6 + b = 15.7

b = 15.7 - 12.6

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Write the expressions as an equivalent power with a negative exponent. 1/49 and 27/125
hoa [83]
n^{-x}=\frac1{n^x}

\textcircled1\ \frac1{49}=\frac1{7^2}=\boxed{7^{-2}}

\textcircled2\ \frac{27}{125}=\frac{3^3}{5^3}=(\frac35)^3=\frac1{(\frac{5}{3})^3}=\boxed{\left(\frac53\right)^{-3}}


7 0
3 years ago
Help me please i need help
aniked [119]

Answer:

136 m^{2}

Step-by-step explanation:

2 triangles (front and back): 2 x 1/2 x 6 x 4 = 24

2 rectangles (on both sides) : 2 x 5 x 7 = 70

1 base rectangle: 7 x 6 = 42

total : 24 + 70 + 42 = 136

6 0
4 years ago
Read 2 more answers
Ruben put an empty cup underneath a leaking faucet. After 1-1/2 hours, Ruben had collected 1/4 cup. What is the rate, in cups pe
vovikov84 [41]
0.1666666667 cups of water
90 mins = 0.25
60 min = 0.1666666667
8 0
4 years ago
Solve the system by substitution <br><br> -x-y-z= -8<br><br> -4x+4y+5z= 7<br><br> 2x+2z= 4
Gennadij [26K]
- x - y - z = - 8 ------- (1)
- 4x + 4y + 5z = 7 -------- (2)
2x + 2z = 4 --------- (3)

From (3): x + z = 2
                      x = 2 - z --------- (4)

Substitute (4) into (1),
- x - y - z = - 8
- (2-z) - y - z = - 8
- 2 + z - y - z = -8
- 2 - y = - 8
2 + y = 8
Therefore, y = 6

Substitute y = 6 and (4) into (2),
- 4x + 4y + 5z = 7
- 4(2 - z) + 4(6) + 5z = 7
- 8 + 4z + 24 + 5z = 7
9z + 16 = 7
9z = - 9
Therefore, z = - 9

Substitute z = - 9 into (4),
x = 2 - z
x = 2 - (-9)
x = 2 + 9
Therefore x = 11

Solution:
x = 11
y = 6
z = -9
4 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through these two points ?<br>(1,-2)<br>(3,4)​
romanna [79]

Answer:

slope Formula

= y^2-y^1 / x^2-x^1

= 4-(-2) / 3-1

= 6 / 2

= 3/1

or 3

6 0
3 years ago
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