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2 years ago

PLEASE HELP WILL MARK BRAINLIEST

Mathematics

1 answer:

disa [49]2 years ago

5 0

Answer:

(a) 12:5

(b)12:7

Step-by-step explanation:

HOPE i helped!

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Help with 5b please . thank you.

Allushta [10]

Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

f'(x)=(0+1)/(1+x)-(1)+x

f'(x)=1/(1+x)-(1)+x

We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

1/(1+x)-(1)+x=0

Find common denominator:

1/(1+x)-(1+x)/(1+x)+x(1+x)/(1+x)=0

(1-1-x+x+x^2)/(1+x)=0

A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

This means the expression,f, is increasing or decreasing after x=0. Let's found out what's happening there. f'(1)=1/(1+1)-(1)+1=1/2 which means after x=0, f is increasing since f'>0 after x=0.

So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

8 0

2 years ago

matt can buy an 8-ounce jar of salsa for $2.79 or a 15-ounce jar os salsa for $5.54. which jar has the best unit rate?

oee [108]

8/2.79 = 1/2.867, or $2.86 per each oz
15/5.54 = 2.707/1, or 2 oz for every 1 dollar

the 15 oz jar of salsa has the better unit rate

hope this helps

7 0

2 years ago

It is worth 50 points so please help

Vladimir [108]

Answer:

12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.

you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.

4 0

3 years ago

The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.

ehidna [41]

1. Check the drawing of the rhombus ABCD in the picture attached.

2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.

3. The diagonals:
i) bisect the angles so m(ODC)=60°/2=30°

ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

5. By the pythagorean theorem, $DO= \sqrt{ DC^{2}- OC^{2} }= \sqrt{ 6^{2}- 3^{2} }=\sqrt{ 36- 9 }=\sqrt{ 27 }= \sqrt{9*3}=$
$=\sqrt{9}* \sqrt{3} =3\sqrt{3} (in)$

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4* $\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}$ = $=2*9 \sqrt{3}=18 \sqrt{3}$ ( $in^{2}$ )

6 0

3 years ago

Pots and Pans cost $195.50 and it is 20% off, what is the cost?

erica [24]

It cost $156.40 because 20% of 195.50 is $39.10 so you subtract that from the 195.50.

8 0

3 years ago

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