The year 2036 will be the fifth leap year after 2016. Name the years from 2016 to 2036 that are leap years. What pattern did you use?

Answers

Answer 1

Answer: every 4 years there is a leap year so 2020, 2024, 2028, 2032, 2036

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Kelli calls her grandmother every month.Every other month she calls her cousin. if Kelli calls her cousin in January how many calls will Kelli have made to her grandmother and cousin by the end of August?

Answers

Kelli calls her grandmother every month so by August that's 8 times and she calls her customer every other month so that's 4 times. By the end of August, she will have made 8 + 4 = 12 calls

she called them for 8 months so the answer is 8

PLEASE HELP ME FAST!The balance in two separate bank accounts grow each month at different rates. The growth rates for both accounts are represented by the functions f(x)=3^x and g(x)=5x+25. In what month is the f(x) balance greater than the g(x) balance? Show your work!
P.S Whoever gives me a good answer and shows their work I will make as Brainliest!

Answers

Answer:

From fourth month onwards, the growth rate of $f(x)$ is greater than that of $g(x)$ .

Step-by-step explanation:

Given:

The growth rates of both bank accounts are given as:

$f(x)=3^x\ng(x)=5x+25$

Now, as per question, we need to find the value of 'x' when the value of $f(x)>g(x)$ . Or,

$3^x>5x+25$

Now, we can do this by checking the values of 'x' by hit and trial method.

Let $x=1$ . The inequality becomes:

$3^1>5(1)+25\n3>30(False)$

Let $x=2$ . The inequality becomes:

$3^2>5(2)+25\n9>35(False)$

Let $x=3$ . The inequality becomes:

$3^3>5(3)+25\n27>40(False)$

Let $x=4$ . The inequality becomes:

$3^4>5(4)+25\n81>45(True)$

Therefore, the value of 'x' for which $f(x)>g(x)$ is 4.

So, from the fourth month onwards, the balance in $f(x)$ becomes greater than $g(x)$ .

The graphical solution is shown below to support the same.

From the graph, we can conclude that after the 'x' value equals 3.4, the graph of $f(x)$ lies above of $g(x)$ . Hence, $f(x)>g(x)$ for $x>3.4$

What is the total height of the real Stanley Cup if this replica is on a 2:11 scale?

Answers

The height of the real Stanley cup will be 89.65 cm.

Step-by-step explanation:

Step 1:

The replica of the Stanley cup is on a 2: 11 scale. The replica is the 2 of the ratio while the real Stanley cup is the 11 on the ratio.

To determine how much bigger than the replica the real Stanley cup is we divide the ratio, $(11)/(2) = 5.5.$

So the real Stanley cup is 5.5 times larger than the replica. To determine the height of the real cup we multiplythe height of the replica by 5.5.

Step 2:

To determine the height of the real cup, we must determine the height of the replica.

The height of the replica $= 3.5 + 2.9 + 1.5 + 8.4 = 16.3.$

So the height of the replica is 16.3 cm.

The height of the real cup $= 5.5(16.3) = 89.65.$

The height of the real Stanley cup will be 89.65 cm.

Please help me❗️

Any answers without proof will be reported

Answers

the y intercept is 1

the slope is (y2-y1)/(x2-x1)

m = (0-1)/(6-0) = -1/6

the equation of the line is y = mx+b

y = -1/6x+1

the graph is shaded above y>

the line is dotted so no equals

y> -1/6x+1

Choice C

A farmer wants to fence in a section of land for a horse pasture. Fencing costs $31 per yard. How much will it cost to fence the pasture?

Answers

Answer:$13671

Step-by-step explanation:

The land the farmer will fence is equal to the sum of the lengths of all the sides of the land=330+330+330+189+144=1323 ft.

3 ft= 1 yard.

1 323 ft = 1323÷3=441 yards

Cost of fencing per yard is $31.

cost of fencing 441 yards=441x31=$13671.

330+330+330+144+189= 1323 ft

1323/3 = 441 yards

441yrds times $31 = $13671

A microscope is set so it makes an object appear 4 x 10`2 times larger than its actual size. A virus has a diameter of of 2 x 10`-7 meter. how large will the diameter of the virus appear when it is viewed under the microscope.

Answers

$2\cdot10^(-7)\ meter\ \rightarrow\ \ the\ actual\ size\n\nscale=4\cdot10^2\n\nthe\ size\ under\ the \ microscope\ \n\n=4\cdot10^2\cdot2\cdot10^(-7)\ meter=8\cdot10^(-5)\ meter\n\nAns.\ the\ size\ under\ the \ microscope\ is\ 8\cdot10^(-5)\ meter.$

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