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3 years ago

5= /3=/1 equivalent fraction

Mathematics

1 answer:

LekaFEV [45]3 years ago

3 0

Answer:

5 = 15/3 = 5/1.

Step-by-step explanation:

Multiply 5 by 3 to give the first number then 5 by 1 to give the second.

5 = 15/3 = 5/1.

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If the slope is -2 and the y-intercept is -5, then the linear equation is y = -2x - 5.

Lisa [10]

Answer:

True

Step-by-step explanation:

y = mx + b,

where m = slope and b = y-intercept.

You have m = -2 and b = -5, so you get

y = -2x - 5

Answer: True

4 0

3 years ago

What is the future value (total amount due) on a $12,000 loan at 8% compounded

svp [43]

Answer: $20,780.10

Step-by-step explanation:

You need the Compound Interest Formula

A = P(1 + r/n)^nt

Step 1: Create the equation.

12,000(1 + 0.08/2)¹⁴

Step 2: Solve the equation.

Follow PEMDAS (parenthesis, exponents, multiplication...)

Parenthesis: (1 + 0.08/2) = (1 + 0.04) = (1.04)

Exponents: (1.04)¹⁴ = (1.73168)

Multiplication: 12,000(1.73168) = 20,780.1

3 0

3 years ago

A cooler has a temperature of 32 degrees Fahrenheit. A bottled drink is placed in the cooler with an initial temperature of

FinnZ [79.3K]

Answer:

$k \approx 0.44$

Step-by-step explanation:

Given function:

$f(t) = (ce)^{-kt}+32$

As per question statement:

Initial temperature of bottle is 70 $^\circ F$ .

i.e. when time = 0 minutes, f(t) = 70 $^\circ F$

$70 = ce^{-k\times 0}+32\\\Rightarrow 38 = ce^{0}\\\Rightarrow c = 38$

After t = 3, f(t) = 42 $^\circ F$

$42 = 38 \times e^{-k\times 3}+32\\\Rightarrow 42-32 = 38 \times e^{-3k} \\\Rightarrow 10 = 38 \times e^{-3k} \\\Rightarrow e^{3k} = \dfrac{38}{10}\\\Rightarrow e^{3k} = 3.8\\\\\text{Taking } log_e \text{both the sides:}\\\\\Rightarrow log_e {e^3k} = log_e {3.8}\\\Rightarrow 3k \times log_ee=log_e {3.8} (\because log_pq^r=r \times log_pq)\\\Rightarrow 3k \times 1=log_e {3.8}\\\Rightarrow 3k = 1.34\\\Rightarrow k = \dfrac{1.34}{3}\\\Rightarrow k \approx 0.44$

Hence, the value is:

$k \approx 0.44$

8 0

4 years ago

Without graphing, identify the vertex, axis of symmetry, and transformations from the parent function f(x) = xl.

zhannawk [14.2K]

-1 is your awnser too this one

4 0

3 years ago

What is the value of x?

Helga [31]

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

7 0

3 years ago