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andreev551 [17]
2 years ago
9

Yesterday Jefferson slept for 7 hours and 45 minutes. Katherine slept for 8 hours and 25 minutes. How much longer did Katherine

sleep than Jefferson?
Mathematics
1 answer:
xxTIMURxx [149]2 years ago
6 0
8 hours and 75 minutes later at the park and then I’ll be home Jefferson
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7 - 6a = -5 -8a solve please
egoroff_w [7]

a=-5/2

Step-by-step explanation:

-6a=-5-8a

-6a+8a=-5-8a+8a

2a=-5

a=-5/2

4 0
2 years ago
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3)
hram777 [196]

Answer:

D: x < 20

Step-by-step explanation:

-4x + 16 > -64

subtract 16 from both sides because you must isolate x.

-4x + 16 - 16 > -64 - 16

-4x > -80

Then divide -4 on both sides... I believe that when you divide a number by a negative number you must flip the sign...

-4x/ -4 < -80/ -4

        x < 20

(negative divided by a negative will result in a POSITIVE.)

Hope this helped... I truly apologize if this is wrong..

3 0
3 years ago
PLZZ HELP FAST
podryga [215]

Answer:

Plot 1 - length of newborn kittens

Plot 2 - length of full-grown cats

5 0
3 years ago
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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
Read 2 more answers
SOLVE FOR X ANSWER IN FRACTION FORM I DONT NEED TO SHOW WORK​
ExtremeBDS [4]

Answer:

x=\frac{27}{2}\:\text{or}\:13.5

Step-by-step explanation:

Both triangles are shown are similar. Therefore, the ratio of their sides will be maintained. We can then set up the following proportion:

\frac{2}{11}=\frac{3}{3+x},\\2(3+x)=33,\\(3+x)=16.5,\\x=\boxed{13.5\text{ or }\frac{27}{2}}

5 0
2 years ago
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