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2 years ago

I need help please !

Mathematics

1 answer:

Katarina [22]2 years ago

7 0

107/2 since it’s 1/2 arc measurment. The answer should be 53.5???

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The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E

nexus9112 [7]

Answer:

The projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

Step-by-step explanation:

Consider the provided projected rate.

$E'(t) = 12000(t + 9)^{\frac{-3}{2}}$

Integrate the above function.

$E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt$

$E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c$

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

$2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c$

$2000=-\frac{24000}{3}+c$

$2000=-8000+c$

$c=10,000$

Therefore, $E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

Now we need to find $\lim_{t \to \infty} E(t)$

$\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

$\lim_{t \to \infty} E(t)=10,000$

Hence, the projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

8 0

2 years ago

May I please receive help?

Yuki888 [10]

Answer:

9.2 ft

Step-by-step explanation:

The shape is a triangle, the 11 ft is your hypotenuse

You need to use the Pythagorean Theorem!

a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)

so --->

a^2 + (6^2) = 11^2

a^2 + 36 = 121

~subtract 36 to the right side~

a^2 = 85

now find the square root of 85:

a = 9.21954

round it to the nearest tenth:

a = 9.2

final answer: 9.2 ft

hope this helpsss

3 0

2 years ago

Read 2 more answers

a sixth grade student brought three cans of tennis balls for $4 each sales tax for all three cans was $0.95 write an expression

JulijaS [17]

Answer:

An expression that would show how much the student paid is 3(4) + 0.95, which can be solved to be 12.95

Step-by-step explanation:

We know that we need to multiply the number of cans (3) by the price of the cans (4). We also know the sales tax for the total is 0.95, which can simply be added to the end.

8 0

2 years ago

Complete the equation of the line through ( − 9 , 7 ) and ( − 6 , − 3 ) Use exact numbers. y =

sesenic [268]

Answer:

Step-by-step explanation:

first we need to find the slope using the slope formula :

slope = (y2 - y1) / (x2 - x1)

(-9,7)...x1 = -9 and y1 = 7

(-6,-3)....x2 = -6 and y2 = -3

now we sub

slope = (-3 - 7) / (-6 - (-9) = -10 / (-6 + 9) = -10 / 3

so our slope is -10/3

now we use y = mx + b....with m representing the slope

slope(m) = -10/3

use either of ur points....I will use (-9,7)...x = -9 and y = 7

we are solving for b, the y intercept

now we sub

7 = -10/3(-9) + b

7 = 30 + b

7 - 30 = b

- 23 = b

so ur equation is : y = -10/3x - 23

4 0

3 years ago

If f(x) = 8, what is f(x) when x = 10?

poizon [28]

F(x) = 8.

This is a constant function. No matter the value of x, f(x) will always be = 8

Therefore when x = 10, f(x) = 8.

4 0

3 years ago

Read 2 more answers