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3 years ago

I need help fasst plz help will give brainliest!!!

Mathematics

1 answer:

guapka [62]3 years ago

3 0

Answer:

Step-by-step explanation:

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Find two positive numbers satisfying the given requirements. The product is 432 and the sum of the first plus three times the se

kogti [31]

Answer:

Step-by-step explanation:

Let the two positive integers be x and y.

If their product is 432, then

xy = 432 ......... 1

Also if the sum of the first plus three times the second is a minimum, then;

p(x) = x + 3y

From 1;

y = 432/x ..... 3

Substitute 3 into 2;

p(x) = x+3y

p(x)= x + 3(432/x)

p(x) = x + 1296/x

Since the expression is at minimum when dp(x)/dx = 0

dp/dx = 1 + (-1296)/x²

dp/dx = 1 -1296/x²

0 = 1 -1296/x²

0 = (x²-1296)/x²

cross multiply

0 = x²-1296

x² = 1296

x = √1296

x = 36

Since xy = 432

36y = 432

y = 432/36

y = 12

Hence the two positive numbers are 36 and 12

4 0

3 years ago

A sphere has a volume of 275 centimeters. What is the radius of the sphere? Please show work

frosja888 [35]

275=4/3πr^3
*3/4 *3/4
206.25=πr^3
/π /π
65.66=r^3
•now find the square root which is....
4.03 cm

5 0

3 years ago

A school debate team has 4 girls and 6 boys. A total of 3 of the team members will be chosen to participate in the district deba

mariarad [96]

There are 4+6=10 people in the team.
First calculate in how many ways you can choose 3 people from a group of 10 people, using combination:
$(^{10} _3)=\frac{10!}{3!(10-3)!}=\frac{10!}{3! \times 7!}=\frac{7! \times 8 \times 9 \times 10}{6 \times 7!}=\frac{8 \times 9 \times 10}{6}=\frac{720}{6}=120$
You can choose 3 people in 120 ways.

You can select 1 girl from a group of 4 girls in 4 ways.
Calculate in how many ways you can choose 2 boys from a group of 6 boys:
$(^6 _2)=\frac{6!}{2! (6-2)!}=\frac{6!}{2! \times 4!}=\frac{4! \times 5 \times 6}{2 \times 4!}=\frac{5 \times 6}{2}=\frac{30}{2}=15$
You can choose 2 boys in 15 ways.
Using the rule of product, you can calculate that you can choose 1 girl and 2 boys in 4×15=60 ways.

The probability of choosing 1 girl and 2 boys is the number of ways you can choose 1 girl and 2 boys divided by the number of ways you can choose 3 people from the group.
$P=\frac{60}{120}=\frac{1}{2}=50\%$

The probability is 1/2, or 50%.

4 0

3 years ago

In the triangle below, determine the measure of angle C

OverLord2011 [107]

Angle C is 4 square root 11 or in decimals 13.266

8 0

3 years ago

How many feet? Thank you for your time.

kramer

Answer:

1 3/8 Feet

Step-by-step explanation:

Take 2 1/2 and subtract 1 1/8 which gives u 1 3/8

if u don't understand fractions u can always turn ur fractions into decimals that's what I did :)

6 0

3 years ago