Find lim 9x^4+3/4x^4

Answers

Answer 1

Answer:

$\lim\limits_(x \to \infty)(9x^4+3)/(4x^4)=\lim\limits_(x \to \infty)(x^4\cdot\left(9+(3)/(x^4\right)))/(4x^4)=\lim\limits_(x \to \infty)(9+(3)/(x^4))/(4)=(9+0)/(4)=\frac{9}4.\n\nI\;used\;\lim\limits_(x\to\infty)(3)/(x^4)=0.$

Green eyes.

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Horses are measured in units called hands. One inch equals 1/4 hand. The average Clydesdale is 17 1/5 hands tall. What is the height in inches? In feet?

Answers

Clydesdale is 17 1/5 hands tall then the height in inches is 68.8 inches and the height in feet is 5.73ft and this can be determined by using arithmetic operations and the unitary method.

Given :

Horses are measured in units called hands.

One inch equals 1/4 hand.

The average Clydesdale is 17 1/5 hands tall.

The following steps can be used to determine the height in inches:

Step 1 - Clydesdale height in hands unit is:

$17(1)/(5)=(86)/(5)$

Step 2 - Now, if one inch equals 1/4 hands then 86/5 is equal to:

$=((86)/(5))/((1)/(4))$

Step 3 - Multiply 86/5 and 4/1.

$=(86)/(5)* (4)/(1)$

Step 4 - Multiply 86 and 4.

$=(344)/(5* 1)$

Step 5- Further simplify the above expression.

$\rm =68.8\;inches$

Now, to convert inches in feet use:

1 inch = 0.08333 feet

So, if 1 inch is equal to 0.0833 feet then 68.8 inches is equal to:

$=(68.8)/(1)* 0.0833$

= 5.73 ft.

For more information, refer to the link given below:

brainly.com/question/24406804

1 inch = 1/4 hand, that means 1 hand = 1*4 = 4 inch.
17 1/5 = [85 + 1]/5 = 86/5,
86/5 hand = 86/5 * 4 = 344/5 = 68.8 inch,
1 feet = 12 inch,
68.8 inch = 68.8/12 = 5.73 feet.
Avg. Clydesdale height = 17 1/5 hand = 68.8 inch = 5.73 feet.

What is 1,000,000 written as a power of ten?

Answers

1,000,000 is written as 10^6. Other wise it would be too low or too high.

A flashlight costs $12.00. The sales tax is 6%. What is the amount of the sales tax?

Answers

12.00x0.06, which is 0.72, so the sales tax is 72 cents. Basically, what you do to answer these kinds of questions is divide the percentage by 100 (6/100=0.06), because the percentage is out of 100%. Then you multiply that number by the price to get the sales tax. If you wanted to find the total price, add the tax you found to the original price ( in this case would give us $12.72 )

Hope this helps!

Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference of the two grades is 16. The sum of one-eighth of the higher grade and one-half of the lower grade is 52. The system that represents his scores is below. x – y = 161/8x + 1/2y = 52

What is the higher grade of Jose’s two tests?

48
52
80
96

Answers

Answer : 96

x – y = 16 --------> equation 1

$(1)/(8) x +(1)/(2) y = 52$

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

$(1)/(8) x +(1)/(2) ( -16 + x ) = 52$

$(1)/(8) x - 8 + (1)/(2) x = 52$

$(1)/(8) x + (1)/(2) x - 8 = 52$

Take common denominator to combine fractions

$(1)/(8) x + (4)/(8) x -8 = 52$

$(5)/(8) x - 8 = 52$

Add 8 on both sides

$(5)/(8) x = 60$

Multiply both sides by $(8)/(5)$

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

The answer you get is (96,80). 96 is greater.

Reggie picked 3 3/4 quarts of blueberries and 4 1/3 quarts of raspberries at a fruit farm. About how many total of berries did he pick?

Answers

$total\ of\ berries=3(3)/(4)+4(1)/(3)=\ \ \ \ | make\ common\ denominator\n\n3(9)/(12)+4(4)/(12)=7(13)/(12)=8(1)/(2)\n\nHe\ picked\ 8(1)/(2)\ quarts\ of\ berries.$

(2√5 + 3√7)^2 show your work and justify each step.

Thank you!

Answers

$(2 √(5) + 3 √(7) )^2 \n \n (2 √(5) ) ^2 + 2 * 2 √(5) * 3 √(7) + (3 √(7) ^2 \n \n 2^2 √(5) ^2 + 2 * 2 √(5) * 3 √(7) + (3 √(7) )^2 \n \n 4 √(5) ^2 + 2 * 2 √(5) * 3 √(7) + (3 √(7) )^2 \n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + (3 √(7) )^2 \n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + 3^2 √(7) ^2 \n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + 9 √(7) ^2\n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + 9 * 7 \n \n 20 + 2 * 2 √(5) * 3 √(7) + 9 * 7 \n \n 20 + 2 * 2 * 3 √(5 * 7) + 9 * 7 \n \n 20 + 2 * 2 * 3 √(35) + 9 * 7 \n \n 20 + 12 √(35) + 9 * 7 \n \n 20 + 12 √(35) + 63 \n \n 83 + 12 √(35) \n \n$

The answer is: 83 + 12√35.

(2√(5) + 3√(7))²
(2√(5) + 3√(7))(2√(5) + 3√(7))
2√(5)(2√(5) + 3√(7)) + 3√(7)(2√(5) + 3√(7))
2√(5)(2√(5)) + 2√(5)(3√(7)) + 3√(7)(2√(5)) + 3√(7)(3√(7))
4√(25) + 6√(35) + 6√(35) + 9√(49)
4(5) + 12√(35) + 9(7)
20 + 12√(35) + 63
20 + 63 + 12√(35)
83 + 12√(35)

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