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Natalija [7]
3 years ago
13

Of the following, which is not a solution to the differential equation y′′′+4y′=0?

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

B

Step-by-step explanation:

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Mrs. Zarate is 4 feet 11 inches tall. If there are 2.54 centimeters
shusha [124]

Answer:

149.86 cm

Step-by-step explanation:

4 ft 11 in = 59 inches

2.54(59) = 149.86

5 0
3 years ago
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A watch cost 75.99. If the sales tax rate is 6.25 percent, what is the amount of sales tax. Plus, please show your work.
rusak2 [61]
So the watch costs 75.99 including sales tax.

The sales tax is 6.25% of the value of the watch.

100% of the value of the watch is n.

100% + 6.25% of the value of the watch is 106.25/100 * n = 75.99

Let's calculate the sales tax...

\frac { 106.25 }{ 100 } \cdot n=75.99\\ \\ 106.25\cdot n=7,599\\ \\ n=\frac { 7,599 }{ 106.25 }

\\ \\ =71.52\\ \\ Sales\quad Tax\quad is\quad Therefore:\\ \\ 75.99\quad -\quad 71.52\quad =\quad 4.47
7 0
3 years ago
Inverse of f(x)=2x^2+5
vagabundo [1.1K]
I hope this helps you

3 0
3 years ago
Question 1: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent,
Vladimir [108]

Answer:

1. The equations is inconsistent and has no solution

2. The equations is consistent and has no solution

3. A pen costs $1.50 and a notebook costs $2.00

Step-by-step explanation:

Solving 7x + 3y = 10 and 3y = 9 - 7x

7x + 3y = 10 --- Equation 1

3y = 9 - 7x --- Equation 2

Add 7x to both sides in equation 2

7x + 3y = 9 - 7x + 7x

7x + 3y = 9  --- Equation 3

Subtract equation 3 from 1

(7x + 3y = 10) - (7x + 3y = 9)

7x - 7x + 3y - 3y = 10 - 9

0 + 0 = 1

0 \neq 1

The equations is inconsistent and has no solution

Solving 3x + y = 4 and  12x + 4y = 16

3x + y = 4 -- Equation 1

12x + 4y = 16 ---- Equation 2

Make y the subject of formula in equation 1

y = 4 - 3x

Substitute 4 - 3x for y in equation 2

12x + 4(4 - 3x) = 16

12x + 16 - 12x = 16

Collect Like Terms

12x - 12x = 16 - 16

0 = 0

The equations is consistent and has no solution

3. Solving <em>John and Harry</em>

Given;

<em>Represent Pen with P and Notes with N</em>

John: 3P + 8N = 20.5

Harry: 4P + 5N = 16.00

Required

Find P and N

Make P the subject of formula in equation 2

4P = 16 - 5N

P = \frac{16 - 5N}{4}

Substitute P = \frac{16 - 5N}{4} in equation 1

3P + 8N = 20.5

3(\frac{16 - 5N}{4}) + 8N = 20.5

Open the bracket

\frac{48 - 15N}{4} + 8N = 20.5

Take LCM

\frac{48 - 15N + 32N}{4} = 20.5

\frac{48 + 17N}{4} = 20.5

Multiply both sides by 4

4 * \frac{48 + 17N}{4} = 20.5 * 4

48 + 17N = 82

Subtract 48 from both sides

48 - 48 + 17N = 82 - 48

17N = 82 - 48

17N = 34

Divide both sides by 17

17N/17 = 34/17

N = 34/17

N = 2

Substitute 2 for N in P = \frac{16 - 5N}{4}

P = \frac{16 - 5 * 2}{4}

P = \frac{16 - 10}{4}

P = \frac{6}{4}

P = 1.5

<em>Hence, a pen costs $1.50 and a notebook costs $2.00</em>

5 0
3 years ago
If f(x)=3x^2-7 , find f(4). Show all work
katrin2010 [14]
Plug in all x's for 4.  4^2 = 16 --> 16x3=48 --> 48-7 = 41 
41 is the final answer
4 0
4 years ago
Read 2 more answers
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