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3 years ago

p: 3 is an odd number q: 9 is an even number Which of the following statements is false? p ∨ q p ∧ q q → p

Mathematics

2 answers:

8_murik_8 [283]3 years ago

6 0

Answer:

p ^ q

Step-by-step explanation:

its stating that 9 it an equality with 3.

Margarita [4]3 years ago

5 0

⇒p=3 is an odd number------(True Statement)→T

⇒q=9 is an even number------(False Statement)→F

Truth Table

p q p∧q p∨q

T T T T

T F F T

F T F T

F F F F

⇒p∧q is False, when p is true and q is False.

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Pleas help me find the composition of goh and it’s domain

Ksivusya [100]

Solution:

The function is given below as

$\begin{gathered} g(x)=\frac{x+4}{x-1} \\ h(x)=2x-1 \end{gathered}$

To figure out

$(goh)(x)$

To do this , we will substitute x= 2x-1 in g(x)

$\begin{gathered} g(x)=\frac{x+4}{x-1} \\ g(h)(x)=\frac{2x-1+4}{2x-1-1} \\ g(h)(x)=\frac{2x+3}{2x-2} \end{gathered}$

Hence,

The composte function will be

$(goh)(x)=\frac{2x+3}{2x-2}$

Step 2:

To figure out the domain,

In mathematics, the domain of a function is the set of inputs accepted by the function.

Hence,

The domain of the function is

$\begin{bmatrix}\mathrm{Solution:}\:&\:x1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:1\right)\cup \left(1,\:\infty \:\right)\end{bmatrix}$

5 0

1 year ago

Jamal hiked on two trails. The first trail was 7 1/3 miles long, and the second trail was 1 9/11 times as long as the first trai

algol [13]

9514 1404 393

Answer:

20 2/3 miles

Step-by-step explanation:

Altogether Jamal hiked 1 + 1 9/11 times the length of the first trail:

(2 9/11)(7 1/3) = (31/11)(22/3) = 62/3 = 20 2/3

Jamal hiked 20 2/3 miles.

7 0

3 years ago

Simplify the expression. [90 – (12 + 13)](15 ÷ 3)

slega [8]

$[90-(12+13)](15:3)= \\\\=(90-25)*5=\\\\= 65*5=\\\\=\boxed{325}$

6 0

3 years ago

Read 2 more answers

ank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B contains30 gallons of water in which 5

adell [148]

Answer:

$\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}$

$\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}$

x(0)=20,y(0)=5

Step-by-step explanation:

We are given that

Tank A contains water=80 gallons

x(0)=20,y(0)=5

Tank B contains water=30 gallons

Rate=4 gallon/min

Concentration of salt is pumped into tank=0.5 pound /gallon of water

Solution pumped from tank A to tank B at the rate=6 gallons/min

Solution pumped from tank B to tank A at the rate=2gallon/min

Solution from tank B is pumped out of the system at the rate=4 gallon/min

We have to find the DE at time t

For x

Rate in= $0.5\times 4+y(t)/30\times 2$

Rate in= $2+y/15$

Rate out= $x/80\times 6$

Rate out=3x/40[/tex]

$\frac{dx}{dt}=$ Rate in-Rate out

$\frac{dx}{dt}=2+y/15-3x/40$

$\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}$

For y

Rate in= $x/80\times 6$

Rate in=3/40x

Rate out= $y/30\times (4+2)$

Rate out=y/5

$\frac{dy}{dt}=$ Rate in-Rate out

$\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}$

8 0

3 years ago

In a parenting magazine, Mrs. Smith read an advertisement about all the different ways that bleach can be used to kill bacteria.

babymother [125]

Question:

(a) How many bacteria would be found in 24 hours

(b) How many bacteria would be found in 2 days

Answer:

(a) 282429536481 bacteria

(b) $7.97*10^{22$ bacteria

Step-by-step explanation:

The question illustrates an exponential function

$y = ab^x$

Where

$a = Initial\ Value = 1$

$b=Rate = 3$ --- i.e. triples

$x = number\ of\ hours$

Solving (a): Bacteria in 24 hours

In this case:

$x = 24$

Substitute $x = 24$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$y = 1 * 3^{24$

$y = 1 * 282429536481$

$y = 282429536481$ bacteria

Solving (b): Bacteria in 2 days

$2\ days =48\ hours$

So:

$x = 48$

Substitute $x = 48$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$y = 1 * 3^{48$

$y =7.97*10^{22$ bacteria

Solving (c): How long for 1000 bacteria

In this case:

$y = 1000$

Substitute $y = 1000$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$1000 = 1 *3^x$

$1000 = 3^x$

Take Log of both sides

$Log1000 = Log3^x$

This gives:

$Log1000 = xLog3$

Make x the subject

$x = \frac{Log1000}{Log3}$

$x \approx 6$

Hence: It takes 6 days

8 0

3 years ago