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wolverine [178]
3 years ago
10

Let f(x)=100/-10+e^-0.1x What is f(−11)?

Mathematics
1 answer:
leva [86]3 years ago
7 0

For f(-11) replace x with -11 and solve:

f(-11) = 100 / -10 +e^-0.1(-11)

f(-11) = 100 / -10 +e^1.1

f(-11) = -14.3

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Each container has a base of 4 1/4 yds by 1 2/3 yds. What is the area covered by all the containers?
svet-max [94.6K]

Answer:

See Explanation

Step-by-step explanation:

Given

Base Dimension

Length = 4\frac{1}{4}yd

Width = 1\frac{2}{3}yd

Required

The base area of all containers

First, calculate the base area of 1 container.

This is calculated as:

Area = Length * Width

Area = 4\frac{1}{4}yd * 1\frac{2}{3}yd

Express as improper fraction

Area = \frac{17}{4}yd * \frac{5}{3}yd

So, we have:

Area = \frac{17*5}{4*3}yd^2

Area = \frac{85}{12}yd^2

The number of containers is not given. So, I will use 'n' as the number of containers.

So, we have:

Total = n * Area

Total= n * \frac{85}{12}yd^2

--------------------------------------------------------------------------------------------

Assume n is 3 (i.e. 3 containers)

The total area is:

Total= 3 * \frac{85}{12}yd^2

Total= \frac{85}{4}yd^2

Total= 21\frac{1}{4}yd^2

--------------------------------------------------------------------------------------------

6 0
3 years ago
The length, l, that a spring is stretched varies directly as the amount of force, F, applied to the end of the spring. When a fo
Elina [12.6K]

Answer:

C. 4.5 inches

Step-by-step explanation:

Given the following data;

Force, F = 10 pounds

Extension, e = 3 inches

First of all, we would determine the spring constant (k) using the following formula;

Force = spring constant * extension

10 = spring constant * 3

Spring constant = 10/3

Spring constant = 3.33 pounds per inches.

Next, we would find the extension of the spring when a force of 15 pounds is applied;

F = ke

15 = 3.33 * e

Extension, e = 15/3.33

Extension, e = 4.5 inches.

7 0
3 years ago
5. The measure of an intercepted arc is 86, and the measure of the inscribed angle creating the intercepted arc is 3x +
Nonamiya [84]

Answer:

Th correct option is D. 13

Therefore the value of x is 13.

Step-by-step explanation:

Given:

measure of an intercepted arc = 86°

Center Angle = 86°

measure of the inscribed angle creating the intercepted arc= (3x+4)°

Angle Inscribed in arc = (3x+4)°

To Find:

value of x = ?

Solution:

Inscribed Angle Theorem:

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

\textrm{Angle Inscribed in arc}=\dfrac{1}{2}\textrm{Center Angle}

Substituting the values we get

3x+4=\dfrac{1}{2}86=43\\\\3x=39\\\\x=\dfrac{39}{3}=13\\\\x=13

Therefore the value of x is 13.

4 0
3 years ago
For this question, you must solve for x.
Tema [17]

Answer:

22

Step-by-step explanation:

3x = x+44(base angle of isosceles triangle are equal)

2x = 44

x = 22

8 0
2 years ago
128 is the product of Julie's savings and 8<br> Use the variable j to represent Julie's savings.
Readme [11.4K]

128=8j; divide both sides by 8

j=16

4 0
3 years ago
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