Johnny B's rectangular garden is 5 feet long and 10 feet wide. He wants to make the area of his garden 6 times as large by increasing the length and width by the same amount. Find the number of feet by which each dimension must be increased.

Answers

Answer 1

Answer:

Answer:

The length is 15 and the width is 20

Step-by-step explanation: 10 times 5 is 50 and 6 times is 300 which is the area you are looking for. 15 times 20 is 300 and you add 5 to each numbers so it works.

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Compare the underlined numbers using ">,< or =". 841

Answers

8>4 because eight is more than four and 4>1 so the answer is simply 8>4>1

Using the U- Substitution u=sqrt(2x), integral form 2-8 dx/ sqrt(2x) + 1 is equivalent to ...I'm not quite sure how to solve using u substitution.

Help please!

Answers

We will use u-substitute: $u= √(2x) , (du)/(dx)= (1)/( √(2x) )= (1)/(u)$ Then for substitution:dx=u du. and integral becomes: $\int { (u)/(u+1) } \, du = \int { (u+1-1)/(u+1) } \, du= \int{1} \, du- \int { (1)/(u-1) } \, dx$ =u-ln(u+1)= $√(2x)-ln( √(2x)+1)$ . Now we will change the values of limits: $√(16)-ln( √(16)+1)-( √(4)-ln( √(4)+1))$ =4-ln(5)-2+ln(3)=2+ln(0,6)=2-0.51=1.49

A new experimental tank is in the shape of a cone, cylinder and sphere. All of the tanks have a volume of 10,000 cm3 . One condition to this tank is that the Radius should be 10 cm. Follow up the questions below based on this scenario. Find the height of cylinder . Keep the answer in terms of π

Answers

Answer:

100/π cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 10,000cm³

Radius = 10cm

The formula for the height of a cylinder is obtained as:

V = πr²h

h = V/ πr²

h = 10000 /π × 10²

h = 10000 /π × 100

h = 100/π cm

The height of the cylinder in terms of π = 100/π cm

Solve the equation. –3x + 1 + 10x = x + 4

Answers

Answer:

x = 1/2 = 0.5

Step-by-step explanation:

We must solve x in the following equation:

–3x + 1 + 10x = x + 4

We'll try to get the terms with x on the left and the independent terms on the right by performing the opposite operations on both sides of the equation:

–3x + 1 + 10x -x = x + 4 -x

–3x + 1 + 10x -x -1 = 4 -1

6x = 3

Now lets isolate x, again by performing the opposite operation, that is dividing by 6 on both sides:

6x /6 = 3/6

x = 1/2 = 0.5

10x-3x= 8x

8x + 1 = x + 4

subtract x in both side

7x + 1 = 4

subtract 1 on both side

7x = 3

divide 7 on both side

x = 3/7

or

.43 in decimal

A doctor prescribes a 100-mg antibiotic tablet to be taken every eight hours. Just before each tablet is taken, 20% of the drug remains in the body. (a) How much of the drug is in the body just after the sec- ond tablet is taken

Answers

Answer:

120 mg

Step-by-step explanation:

20% of 100 is 20 so that would be 20mg plus the 100mg they just took

100+20=120mg

i hope this helps you!

Find 3 consecutive even integers with a sum of -30

Answers

-8, -10, and -12 will do that job.

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