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Snowcat [4.5K]
3 years ago
10

Convert 15.5 feet tometers. ​

Mathematics
1 answer:
frutty [35]3 years ago
5 0

Step-by-step explanation:

15.5 feet to meter =4.7244

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Determine if graph is a function ​
Zepler [3.9K]
No it is not a function.
8 0
3 years ago
Solving a System of Equations Using Linear Combination
Ivanshal [37]
<h3>The solution is (x, y) = (-2, 3)</h3>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

4x + 5y = 7 ------ eqn 1

3x -2y = -12 ------- eqn 2

Multiply eqn 1 by 2

8x + 10y = 14 ------ eqn 3

Multiply eqn 2 by 5

15x - 10y = -60 ------- eqn 4

Add eqn 3 and eqn 4

8x + 10y = 14

15x - 10y = -60

( + ) -------------

23x = -46

<h3>x = -2</h3>

Substitute x = -2 in eqn 1

4(-2) + 5y = 7

-8 + 5y = 7

5y = 15

<h3>y = 3</h3>

Thus the solution is (x, y) = (-2, 3)

7 0
3 years ago
a builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps. How many borders are ne
Ne4ueva [31]
<h2>Number of boards required is 24</h2>

Step-by-step explanation:

A builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps.

\texttt{Length of 1 board = }6\frac{1}{4}in\\\\\texttt{Length of 1 board = }\frac{6\times 4+1}{4}=\frac{25}{4}in

We need to build a fence that is 150 in long​.

Length of fence = Number of boards required x Length of 1 board

150=\texttt{Number of boards required }\times \frac{25}{4}\\\\\texttt{Number of boards required }=\frac{150\times 4}{25}\\\\\texttt{Number of boards required }=6\times 4=24

Number of boards required = 24

5 0
3 years ago
Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).
motikmotik

Answer:

y = 3(2)^{x}

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = ab^{5} → (2)

Divide (2) by (1)

\frac{ab^5}{ab^2} = \frac{96}{12} , that is

b³ = 8 ( take the cube root of both sides )

b = \sqrt[3]{8} = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3(2)^{x} ← is the exponential function

3 0
4 years ago
Given that is directly proportional to (p-1)2 and p is always positive, find the
Arturiano [62]

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

4 0
3 years ago
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