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VMariaS [17]
3 years ago
9

If it is January then there are 31 days this month write the inverse of the conditional statement

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0
January has 31 days so that mean january is friends with christmas.
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An Egyptian merchant ship from 1500 BC was about 90 ft long and a Roman gallery
Verizon [17]

Answer:

Step-by-step explanation:

Its 0.38

7 0
2 years ago
find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

4 0
1 year ago
Y is directly proportional to the square of x.
RUDIKE [14]

Answer:

The value of y is 847 for x=11

Step-by-step explanation:

It is given that y is directly proportional to the square of x

This can be written mathematically as:

y \propto  x^2

Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k

y = kx^2

Given that "When x is 5, y is 175"

175 = k (5)^2\\175 = k*25\\k = \frac{175}{25}\\k = 7

Putting the value of k

y = 7x^2

Now putting x = 11

y = 7(11)^2\\y = 7 * 121\\y = 847

Hence,

The value of y is 847 for x=11

5 0
3 years ago
a recipe that serves 2.people calls.for.1600 mg of baking soda..if.you want to make enough for 10 people how.much will you need
ch4aika [34]
8 grams 
(i think) hope this helps

(sry if its wrong)
8 0
3 years ago
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. How mu
kotykmax [81]

Answer:

<u>The amount of investment in bonds is US$ 4,500 and the amount of investment in stocks is US$ 19,500</u>

Step-by-step explanation:

Total investment in stocks and bonds = US$ 24,000

Amount of investment in bonds = x

Amount of investment in stocks = 3x + 6,000 (amount in stocks is $6,000 more than three times the amount in bonds)

For finding the value of x (amount of investment in bonds), we use this equation:

x + 3x + 6,000 = 24,000

x + 3x = 24,000 - 6,000

4x = 18,000

x = 4,500 (dividing by 4)

<u>The amount of investment in bonds is US$ 4,500</u>

Now let's find the amount of investment in stocks:

3x + 6,000 = 3 (4,500) + 6,000 = 13,500 + 6,000 = 19,500

<u>The amount of investment in stocks is US$ 19,500</u>

5 0
3 years ago
Read 2 more answers
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