The distance that an object falls varies directly with the square of the time it falls. If an
object falls 11 feet in 2 seconds, how long does it take the object to fall 275 feet?
a) 7 seconds
b) 8 seconds
C)9 seconds
d) 10 seconds

Answer:x = 7

Step-by-step explanation:

Similar figures have sides that are proportional.  Setting up a proportion for the sides of the figures will help solve for 'x':

Cross-multiply:  3(x + 1) = 6(x - 3)

Distribute:  3x + 3 = 6x - 18

Combine like terms:  21 = 3x

Solve for 'x':  x = 7

Solution:

Given that,

Apply the distributive property to factor out the greatest common factor

35 + 50

By distributive property,

a(b + c) = ab + ac

First find the greatest common factor of 35 and 50

The factors of 35 are: 1, 5, 7, 35

The factors of 50 are: 1, 2, 5, 10, 25, 50

Then the greatest common factor is 5

Thus, factor out 5 from given expression,

35+50= 5(7+10)

5(7+10)= 5×7+5×10

5(7+10)= 35+50

5(7+10)= 85

Thus distributive property is applied

Answer:

Your answer should be the following ; 23884*3457387 = 82576231108

So, 82576231108.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer: 0 (zero)

Explanation: 2/6 is equivalent to 1/3. A number minus the same number always equals 0.

Answer:

51

Step-by-step explanation:

follow pemdas

Answer:

The formula for the average temperature in the ball is [tex]\bar T = \frac{2\cdot k\cdot R^{1/2}}{3}[/tex]. The limit of the average temperature for the ball does not exist.

Step-by-step explanation:

According to the statement, we have the following direct relationship:

[tex]T \propto \sqrt{r}[/tex]

[tex]T = k\cdot \sqrt{r}[/tex] (1)

Where:

[tex]T[/tex] - Temperature, measured in degrees Celsius.

[tex]r[/tex] - Distance from the center, measured in meters.

[tex]k[/tex] - Proportionality constant, measured in degrees Celsius per meter.

Under the assumption that ball is a continuous entity, we find that average temperature in the ball ([tex]\bar T[/tex]), measured in degrees Celsius, is represented by the following integral equation:

[tex]\bar T = \frac{1}{R}\cdot \int\limits^{R}_{0} {T(r)} \, dr[/tex] (2)

By applying (1) in (2), we find that:

[tex]\bar T = \frac{k}{R}\cdot \int\limits^{R}_{0} {\sqrt{r}} \, dr[/tex]

[tex]\bar T = \frac{2\cdot k}{3\cdot R}\cdot (R^{3/2})[/tex]

[tex]\bar T = \frac{2\cdot k\cdot R^{1/2}}{3}[/tex]

If the ball gets larger, then the limits associated to the average temperature diverges to the infinity as maximum exponent of the numerator of the rational function ([tex]n = \frac{1}{2}[/tex]) is greater than the maximum exponent of the denominator ([tex]n = 0[/tex]). Therefore, the limit of the average temperature for the ball does not exist.

Answer:

The perimeter would be 16

Step-by-step explanation:

you would do 5+5+3+3=16

Answer:

the answer is 16. trust me if you dont understand the explanation bc i am in 8th grade and have already done this.

plz mark brainliest.  

Step-by-step explanation:

the way you find perimeter is by adding up all the sides.

the top and bottom are the same number so all you need is one of them to know what the other one is. they give you the top number and it is 3 so that means that the bottom number is 3.

the left and right side are also the same number. they give you the left sides number and it is 5 so that means that the right sides number is 5.

if the top number was lets say 10 then that would mean the bottom number would be 10. and the same goes for the sides.

so now you know that the right side number is 5 and the bottom is 3.

now all you have to do is 5 + 5 ( because there are two 5's) and 3 + 3 (because there are two 3's) so 5 + 5 is 10 and 3 + 3 is 6 now you add 6 + 10 and you get 16.

Answer:

a)  The 90% confidence interval for the mean noise level at such locations      

  (112.46 , 163.54)

b) The critical value that should be used in constructing the confidence interval

Z₀.₁₀ = 1.645

Step-by-step explanation:

Step(i) :-

Noise levels at 3 airports were measured in decibels yielding the following data

108   146   160

Mean of given data

         [tex]x^{-} = \frac{108+146+160}{3} = 138[/tex]

x          :     108   146   160

x-x⁻      :      -30   8       22

(x-x⁻ )² :     900   64     484

Variance  σ ² = ∑(x-x⁻ )²/ n-1

                                        = [tex]\frac{900+64+484}{3-1}= 724[/tex]

Standard deviation  

                σ = √724 = 26.90

Step(ii):-

The 90% confidence interval for the mean noise level at such locations                        

       [tex](x^{-} - Z_{0.90} \frac{S.D}{\sqrt{n} } , (x^{-} + Z_{0.90} \frac{S.D}{\sqrt{n} } )[/tex]

The critical value that should be used in constructing the confidence interval

Z₀.₁₀ = 1.645

         [tex](138 - 1.645 \frac{26.90}{\sqrt{3} } , (138 + 1.645 \frac{26.90}{\sqrt{3} } )[/tex]

        ( 138 - 25.54 , 138 + 25.54 )

        (112.46 , 163.54)

Answer:

24f - 30g

Step-by-step explanation:

I'm not sure if that's how you're supposed to answer it...

Answer:

the 3/4:6/8. Hope that helped

Answer:

0.006

Step-by-step explanation:

Answer:

5.10 * 1.17 = the cost of the procedure

Step-by-step explanation:

Answer:

$17.61

Step-by-step explanation:

5.87 x 3= $17.61 because it is each week

Answer: 17.61 dollars

Step-by-step explanation:

Answer:

there is 5 inches

Step-by-step explanation:

3/5= 5

Answer:

Nope i think..

Step-by-step explanation:

Depending on your school district. IF YOU REALLY WANT AN ANSWER ASK YOUR TEACHER! i wish you gud luckkk :D

Answer:

41 /60

Step-by-step explanation:

Answer: 41/60

Explanation:

26+15/60

41/60

Answer:

1 5/8

Step-by-step explanation:

15/8 = 1 7/8

Answer:

20.4

Step-by-step explanation:

Answer:

20.4 would be the diameter :)

Step-by-step explanation:

mark brainliest?

Answer:

C. Pages per hour.

Best of luck for the exam tho :)

SInce people are getting mad, I'm making this edit to say,

[tex]\frac{pages}{hour}[/tex] × the number of hours = pages, which is the answer.

It is provided in the table that the units are pages and time in hours.

Now please chill.

Answer:

75 pages per hour

Step-by-step explanation:

Unit rate = Total pages ÷ Time taken

                =  300 ÷ 4

               = 75 pages per hour

Answer:It  equals -7/20 because Here's how to convert 0.35 to a fraction...There is not much that can be done to figure out how to write 0.35 as a fraction, except to literally use what the decimal portion of your number, the .35, means. Since there are 2 digits in 35, the very last digit is the "100th" decimal place. So we can just say that .35 is the same as -35/100. The fraction -35/100 is not reduced to lowest terms. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 5. Why divide by 5? 5 is the Greatest Common Divisor (GCD) or Greatest Common Factor (GCF) of the numbers 35 and 100. So, this fraction reduced to lowest terms is -7/20. So your final answer is: 0.35 can be written as the fraction -7/20 Hope this helps... Plz mark me brainliest if the answer is correct... Stay safe and have a great weekend!!! :D

Step-by-step explanation:

The simplest fraction form id the number -35 is -7/100.

To write -0.35 as a fraction in simplest form, we need to convert the decimal number into a fraction.

Count the number of decimal places. In this case, we have two decimal places.

Write the decimal as a fraction with the denominator as a power of 10. Since we have two decimal places, the denominator will be 10^2, which is 100.

Place the decimal number over the denominator. In this case, -0.35/100.

Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 35 and 100 is 5.

Dividing both the numerator and denominator by 5,

-0.35/100 = -35/500

Further simplify the fraction if possible. In this case, we can divide both the numerator and denominator by 5 again:

-35/500 = -7/100

So, -0.35 as a fraction in simplest form is -7/100.

To know more about fractions follow

https://brainly.com/question/30154928

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Answer:

2.35

Step-by-step explanation:

bruh

Answer:

2.35 is larger.

Step-by-step explanation:

Plug in a zero at the end of 2.35 and you'll be able to see that it's is bigger than 2.346.

Answer: for number six its y=2x-2

Answer:

Step-by-step explanation:

125.52*20%= $25.10

Don't get mad at me for at least trying to help because i also have no idea

Step-by-step explanation:

Answer:

(20 divided by 4) is the quotient

Step-by-step explanation:

In the expression the quotient part is 20÷4 and the quotient is 5.

The given expression is 5.3t - (20÷4) + 11.

In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

In the given expression 5.3t - (20÷4) + 11,

20÷4=5

So, 5.3t - 5 + 11

5.3t + 6

Hence, in the expression the quotient part is 20÷4 and the quotient is 5.

Learn more about the quotient here:

https://brainly.com/question/16134410.

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