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2 years ago

Express the fractions 1/2, 3/16, and 7/8 with an LCD.

1 answer:

5 0

LCD stands for the least common denominator.
The least common multiple of the denominators can be calculated as follows;
denominators are 2,16 and 8
divide all by 2 2/2 = 1 16/2 = 8 8/2 = 4
Divide by 2 1 8/2 = 4 4/2 = 2
Divide by 2 1 4/2 = 2 2/2 = 1
Divide by 2 1 2/2 = 1 1
multiply - 2x2x2x2 = 16
16 is the least common multiple of 2,16 and 18
$\frac{1}{2}$ multiply both by 8 - $\frac{8}{16}$
$\frac{3}{16}$ as it is
$\frac{7}{8}$ multiply both by 2 - $\frac{14}{16}$
answer is 8/16,3/16,14/16

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(a) Use Euler's method with step size 0.2 to estimate y(1.4), where y(x) is the solution of the initial-value problem y' = 4x −

Verizon [17]

Answer:

$y\left(1.4\right)=0.992$ .

Step-by-step explanation:

The Euler's method states that $y_{n+1}=y_n+h \cdot f \left(x_n, y_n \right)$ , where $x_{n+1}=x_n + h$ .

To find $y\left(1.4 \right)$ for $y'=- 4 x y + 4 x$ when $y\left(1 \right)=0$ , with step size $h=0.2$ using the Euler's method you must:

We have that $h=0.2=\frac{1}{5}$ , $x_0=1$ , $y_0=0$ , $f(x,y)=- 4 x y + 4 x$ .

Step 1.

$x_{1}=x_{0}+h=1+\frac{1}{5}=\frac{6}{5}$

$y\left(x_{1}\right)=y\left( \frac{6}{5} \right)=y_{1}=y_{0}+h \cdot f \left(x_{0}, y_{0} \right)=0+h \cdot f \left(1, 0 \right)=0 + \frac{1}{5} \cdot \left(4.0 \right)=0.8$

Step 2.

$x_{2}=x_{1}+h=\frac{6}{5}+\frac{1}{5}=\frac{7}{5}=1.4$

$y\left(x_{2}\right)=y\left( \frac{7}{5} \right)=y_{2}=y_{1}+h \cdot f \left(x_{1}, y_{1} \right)=0.8+h \cdot f \left(\frac{6}{5}, 0.8 \right)=0.8 + \frac{1}{5} \cdot \left(0.96 \right)=0.992$

The answer is $y\left(1.4\right)=0.992$

3 0

2 years ago

5.solve for x 6. solve for x

Kamila [148]

<u>Answer:</u>

x=10 , x=13

<u>Steps:</u>

4x+5x=180-90

9x=90

x=90/9

x=10

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

3 0

2 years ago

Read 2 more answers

Is anyone good with probability? I need help with Allyson’s and brittney’s solution.

garri49 [273]

Answer:

a) 80%

80/100 *100 = 80%

b) 10 %

Sorry not able to draw a venn diagram

smartphone 50

both 30

tablet 10

10 people 10/100 *100 = 10%

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2 years ago

What is the sum of the last 5 terms of the series 1 9 17... 49?

drek231 [11]

The series is increasing by 8 each time.

So that means the complete series is:
1, 9, 17, 25, 33, 41, 49

Add the last 5 digits:
49 + 41 + 33 + 25 + 17 = 165

Answer:
165

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3 years ago

Read 2 more answers

Classify the following system of equations.

zubka84 [21]

Answer:

B) consistent, dependent

Step-by-step explanation:

The given system is

45x - 30y = -90

-12x + 8y = 24

Let us make y the subject in both equations to get:

Top equation

$y = \frac{3}{2}y + 3$

Bottom equation

$y = \frac{3}{2}x + 3$

We can see that both equations are identically the same.

There is going to be infinitely many solutions.

We say the system is consistent and dependent.

The correct choice is B

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2 years ago