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katen-ka-za [31]
2 years ago
14

Translate these statements into English, where R(x) is "x is a rabbit "and H(x) is "x hops" and the domain consists of all anima

ls. a) ∀x(R(x) → H(x)) b) ∀x(R(x) ∧ H(x)) c) ∃x(R(x) → H(x)) d) ∃x(R(x) ∧ H(x))
Mathematics
2 answers:
Hatshy [7]2 years ago
8 0

Answer:

A- for every animal, if the animal is a rabbit, the animal hops.

B- every animal is a rabbit and it hops.

C-there are animals that, if they are rabbits, they hop.

D-there are animals that are rabbits and they hop

muminat2 years ago
8 0

Answer:

a) For every animal, if the animal is a rabbit, then the animal hops

b) For every animal, the animal is a rabbit and the animal hops

c) there are animals such that if they are rabbits then they hop

d) there are animals such that they are rabbits and they hop

Step-by-step explanation:

∀ For every

a⇒b  a then b

a∧b   a and b

∃ there are

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1. Natasha invests £250 in a building society account. At the end of the year her account is credited with 2% interest. How much
Kamila [148]

1. Natasha invests £250 in a building society account. At the end of the year her account is

credited with 2% interest. How much interest had her £250 earned in the year?

Solution: Interest = 2% of £250

= 2/100 x £250

 answer       = £5

2. Alan invests £140 in an account that pays r% interest. After the first year he receives £4.20 interest. What is the value of r, the rate of interest?

r/100 x £140 = £4.20

        r = 100 x 4.20 / 140

             = 420/140

           = 3%

So the interest rate is 3%

5 0
2 years ago
Melissa's boyfriend gave her a 2-pound heart-shaped box of chocolates. The box had 68 pieces of chocolate. What was the average
Kobotan [32]

The average weight in ounce for each piece of chocolate is 0.03.

Step-by-step explanation:

The heart-shaped box containing the chocolates has the weight of 2 pounds

The box contains 68 pieces of chocolates.To find the weight of each piece of chocolate, you divide the weight of the box with the number of chocolate pieces in the box.

This will be 2/68 = 0.0294117647

To the nearest hundredth you check the thousandths value and round off

In this case; 0.0294117647 = 0.03 pounds

Learn More

Division:brainly.com/question/13063965

Keyword : pound, average, hundredth

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4 0
2 years ago
If e^(xy) = 2, then what is dy/dx at the point (1, ln2)
PSYCHO15rus [73]
By implicit differentiation: 

<span>(x(dy/dx) + y)e^(xy) = 0 </span>

<span>Note that when differentiating e^(xy), apply chain rule. When differentiating xy, use product rule. Also: When differentiating y w/respect to x, think of that as if you are differentiating f(x). </span>

<span>Then, substitute (1,ln(2)) and solve for dy/dx. </span>

<span>(1(dy/dx) + ln(2))e^(1ln(2)) = 0 </span>
<span>((dy/dx) + ln(2))e^(ln(2)) = 0 </span>

<span>Note that e^(ln(2)) = 2 since e and ln are inverse of each other. </span>

<span>2((dy/dx) + ln(2)) = 0 </span>
<span>dy/dx + ln(2) = 0 . . . . You get this expression by dividing both sides by 2 </span>
<span>dy/dx = -ln(2) . . . . . . .Subtract both sides by ln(2) </span>

<span>Therefore, dy/dx = -ln(2) </span>

<span>I hope this helps!</span>
8 0
2 years ago
610 people go on a coach trip each coach can hold 55 people how many coaches are needed
diamong [38]

Answer:

12

Step-by-step explanation:

610 divided by 55 = 11.09

but since u cant have 11.09, u need 12

4 0
2 years ago
Read 2 more answers
The ratio of money in Brian's wallet to Colin's wallet one day was 5:1. Brian spent £27 that day. Brian now had £3 less than Col
myrzilka [38]

Answer:

Brian had $30 initially.Brian had $30 initially.

Step-by-step explanation:

WE are given the following in the question:

Let Brian have x dollars and Colin have y dollars.

Ration of Brian's money to Colin's money is 5:1. This, we can write the equation:

\dfrac{x}{y} = \dfrac{5}{1}\\\\x = 5y

"Brian spent £27 that day. Brian now had £3 less than Colin."

Thus, we can write the equation:

x-27 = y-3\\x-y = 24

Solving the two equation by substitution, we get,

x - y - 24\\5y - y = 24\\4y = 24\\y=6\\x = 5y =30

Thus, Brian had $30 initially.

7 0
2 years ago
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