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Bess [88]
2 years ago
7

Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an

expression using exponents that represents the total number of kits, cats, sacks, and wives going to St .Ives.
Mathematics
1 answer:
Harrizon [31]2 years ago
8 0

Answer:

x^{1} wives

x^{2} sacks

x^{3} cats

x^{4} kits

Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an expression using exponents that represents the total number of kits, cats, sacks, and wives going to St .Ives.

Step-by-step explanation:

x^{1} wives

If each of the "x" wives has "x" sacks, so the number of sacks is:

x^{2} sacks

If each of the "x" wives has "x" sacks, and each sack has "x" cats, so the number of cats is:

x^{3} cats

If each of the "x" wives has "x" sacks, and each sack has "x" cats, and each cat has "x" kits, so the number of kits is:

x^{4} kits

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The varsity basketball team started selling T-shirts online in 1994. The number of T-shirts sold online, s, is modeled by the gr
-Dominant- [34]

(PART-A): s-intercept in this case represents the y-intercept of the graph, whereas the t-intercept in this case represents the x-intercept of the graph.

Always remember that y-intercept represents the value of y where the curve (or line) crosses the y-axis, and x-intercept represents the value of x where the curve (or line) crosses the x-axis.

In the graph attached with the question, at point (0,6) the curve crosses the y-axis. Therefore, the <em>y-intercept (s-intercept) in this case is 6</em>. It means that in year 2000 (t=0), 6 hundred shirts were sold.

However, there is no point on the graph where the curve crosses the x-axis, meaning there is <em>no x-intercept (t-intercept)</em>. It means that there is <em>not</em> a single year when the number of shirts sold is 0.


(PART B): As you can see in the graph (attached with the question) that the <em>f(t)</em> is increasing (exponentially) with the increase in <em>t. </em>Therefore, we can safely say that as t increases without bound, the f(t) increases (also). In this context, it means that the sale of shirts increases as the years go by. Hence, the correct blank is "increases."


(PART C): The average rate of change is actually the slope. To find the slope, we can use the following formula:

slope = \frac{y_2 - y_1}{x_2 - x_1} --- (X)

Given points: (5, 12.5) and (7, 22). Plug the values in equation (X),

slope = \frac{22-12.5}{7-5} = 4.75

Hence, the average rate of change for the function between t=5 and t=7 is 4.75 (answer).


(PART D): This part is bit tricky. Therefore, read the explanation carefully!

You can see in the graph that number of Shirts sold is in <em>hundreds. </em>It means that 1 unit (of y-axis in a graph) represents 100 shirts. Therefore, as in the question it is mentioned that there are 1000 T-shirts sold, it will become 10 units (since 10*100 = 1000). So, the function g(t) will become the following:

g(t) = f(t) + 10 --- (Y)

Why did I add f(t)? Because in the question, the word "<em>and</em>" is underlined. It means that g(t) represents not only 1000 T-shirts (10*100 = 1000) sold at the basketball games each year, but it also has the number of T-shirts sold ONLINE, which is f(t).

Now insert f(t) in (Y) and solve:

g(t) = f(t) + 10\\g(t) = (1.5)^t + 5+ 10\\g(t) = (1.5)^t + 15

Hence, g(t) is (1.5)^t + 15

8 0
3 years ago
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Two​ cars, 540 kilometers​ apart, begin driving toward each other on a​ long, straight highway. one car travels 75 kilometers pe
Elodia [21]

One car travels at a speed of 75 kilometers per hour and the other car travels at a speed of 105 kilometers per hour.

Since both the cars are travelling towards each other their combined speed will be: 75+105=180 km/h.

Now, since the distance between the cars to start with is 540 km. Therefore, the time taken before the cars collide is:

t=\frac{540}{180} =3 hours.

Now, the speed of the canary is 100 km/h.

Therefore, the Canary flies flies for (100 km/h)x(3 hours) = 300 km before the cars collide.


5 0
3 years ago
Sla square field has an area of 12,382m², calculate it's side length. show your work​
shepuryov [24]

Answer:

side = 111.274........

Explanation:

area of square = side × side

means we're finding area by finding square of side.

now, we're finding side. so, we'll do the opposite of square, which means square root.

side  =  \sqrt{area}

so,

side  =  \sqrt{12382}

side = 111.274........

please mark BRAINLIEST!

3 0
1 year ago
multiply me by four then subtract 13 if you divide me by three and add 17 you get 10 what number am I
siniylev [52]
I think ur answer will be -37.35
9 0
2 years ago
Someone help please
olganol [36]

Step-by-step explanation:

First let us suppose the missing number x

I think we will cross multiply

5b2 = bx

5b2/b = bx

5b = x

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3 years ago
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