Which of the statements are true about the function f given by f(x) = 100-e? Select all that apply.
a The values of increase when x increases.
b The value off when x = 5 is less than 1.
d
e The value of is never 0.
E
The value of f when x=-1 is a little less than 40.
The y-intercept of the graph off is at (0, 100).

Answers

Answer 1

From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.

What is the explanation for the above function?

Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:

f(x) = 100 * [tex]e^{-x}[/tex]

Assuming x = -2, we'd have:

100 * 2.7182[tex]^{-2}[/tex]

= 271.82[tex]^{-2}[/tex]

= 0.00001353354

Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.

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Which Of The Statements Are True About The Function F Given By F(x) = 100-e? Select All That Apply.a

Related Questions

order from the least to the greatest 5 -13 _19 -8 _14 -12​

Answers

If you meant - instead of _, the order would be -19, -14, -13, -12, 18, 5

If you mean for the numbers with _ to be positive, the order is -13, -12, -8, 5, 14, 19

Find the volume of this rectangular pyramid.
length =5cm
width =6cm
hight =7cm
PLEASE HURRY

Answers

Volume is just length x width x height. 5 x 6 x 7 is 210. 210cm

Select the correct answer for the blank: if everything else stays the same, the required sample size ____ as the confidence level decreases to reach the same margin of error. answer: question 1 options: increases decreases remains the same

Answers

The complete statement is "if everything else stays the same, the required sample size decreases as the confidence level decreases to reach the same margin of error." This is further explained below.

What is the margin of error?

Generally, the margin of error is simply defined as a measure of how far your findings depart from the population average.

In conclusion, As confidence levels decline, the needed sample size reduces to provide the same margin of error, assuming all other variables remain constant.

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What is the volume of the rectangular prism?

A rectangular prism with dimensions 4 and 1 third feet by 3 and 1 third feet by 4 feet.
57 7/9ft3
11 2/3ft3
48 2/9ft3
28 2/3ft3

Answers

Answer:

A or 57 7/9ft3

Step-by-step explanation:

13/3x10/3x4/1 = 520/9=57 7/9

Answer:

The volume of the rectangle would be [tex]57\frac{7}{9}[/tex] ft^3. (The first answer).

Step-by-step explanation:

To solve you have to multiply [tex]4\frac{1}{3},3\frac{1}{2}, and, 4[/tex] to get an answer of [tex]57\frac{7}{9}[/tex].
I hope this helps! :)

opposite of expanded form ​

Answers

Answer:

factored form

Step-by-step explanation:

example

(x + 2)(x + 3) ← is an expression in factored form

= x² + 5x + 6 ← in expanded form

Answer:

factored form

Step-by-step explanation:

Factored form is opposite of expanded form.

More info:-

Expanded form:

[tex]\sf{5(x+7)=5x+35}[/tex]

Factored form:

[tex]\sf{5x+35=5(x+7)}[/tex]

help me pls I need to get my grade up before July 11th so help ASAP​

Answers

Second option:
-7x^2+4x+2

Construct three parallel lines. Then construct two arbitrary non parallel transversal of the parallel lines. Make sure that the transversals cut the three parallel lines at distinct points mark the points of intersection where the transversals cut the parallel lines. Take a screenshot of your construction, save it, and insert the image below.

Answers

The image lines constructed are called parallel lines. They are parallel because  they are all equidistant to each other at every point and at no point between any of the lines will there be an intersection of the three lines.

What does it mean for two or more lines to be equidistant from each other?

Equidistance is simply another word for equal in distance. That is, parallel lines maintain equal distance from each other at all points along them.

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Find the indicated measures for each circle 0

Answers

Answer:

there are no indicate measure bro in circle

Step-by-step explanation:

Why was federal ruling system implemented in Nepal?Give any four reasons

What is the equation of a line through the points (0,9) and (3,0)?

Answers

Answer:

The image has the ans.

Step-by-step explanation:

The image will help.

Why won't anyone help me :(​

Answers

The probability will include:

P(A and 1) = 1/24

P(C and 2) = 1/12.

P(B and 3) = 1/12.

P(A and 4) = 1/12

How to calculate the probability?

The probability of P(A and 1) will be:

= 1/4 × 1/6

= 1/24

The probability of P(C and 2) will be:

= 1/4 × 2/6

= 1/12

The probability of P(B and 3) will be:

= 2/4 × 1/6

= 1/12

The probability of P(A and 4) will be:

= 1/4 × 2/6

= 1/12

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What is 12x³ – 9x² − 4x + 3 in factored form?
Pls hurry

Answers

Answer:

[tex]\bold{\green{(4x-3)(3x^{2}-1) }}[/tex]

Step-by-step explanation:

[tex]\sf{12x^{3}-9x^{2}-4x+3 }[/tex]

[tex]\sf{3x^{2}(4x-3)-1(4x-3) }[/tex]

[tex]\sf{(4x-3)(3x^{2}-1) }[/tex]

Answer:

(3x^2 - 1)(4x - 3)

Step-by-step explanation:

We can use grouping to factor this

12x^3 – 9x^2 − 4x + 3

group into: (12x^3 – 9x^2)(− 4x + 3)

Solve one side at a time:

(12x^3 – 9x^2)

3x^2(4x - 3) factor out a 3x^2

(− 4x + 3)

- 1 (4x - 3) factor out a -1

put the two equations togeth

(3x^2 - 1)(4x + 3)

Mr. Rodrigo pours himself a glass of orange juice every morning. Yesterday he drank 5/6 of his glass. Today he drank 7/12 of his glass. On which day did drink more

Answers

Yesterday.
Exp: if you make the denominators equal, 5/6 becomes 10/12 which is more than 7/12

Use the digits 1-9 without repeating, to create two prisms with the same volume

Answers

Two prisms with the same volume are rectangular prisms of the dimensions  1 by 4 by 9 and 2 by 3 by 6

How to create the prisms?

To do this, we start by determining the type of prism to create.

Assume that we want to create a rectangular prism.

The volume of a rectangular prism is:

Volume = Length * Width * Height

Using the digits 1 - 9, we have:

Prism 1

Length = 1

Width = 4

Height = 9

The volume is

Volume = 1 * 4 * 9 = 36

This means that the second prism must have a volume of 36.

Using the digits 1 - 9, we have:

Prism 2

Length = 2

Width = 3

Height = 6

The volume is

Volume = 2 * 3 * 6 = 36

Notice that the digits are not repeated.

Hence, two prisms with the same volume are rectangular prisms of the dimensions  1 by 4 by 9 and 2 by 3 by 6

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If the diameter of a youth baseball is 2. 8 inches and the diameter of an adult softball is 3. 8 inches, what is the approximate difference in their volumes? use 3. 14 for pi. round to the nearest tenth. recall the formula sphere volume = four-thirds pi r cubed. 1. 0 cubic inch 17. 2 cubic inches 40. 2 cubic inches 137. 8 cubic inches.

Answers

The approximate difference in their volumes is 17.2 cubic inches

How to determine the difference in the volume?

The given parameters are:

Diameter, d = 2.8

Diameter, D = 3.8

The radii are the half of the diameter.

So, we have:

r = 1.4

R = 1.9

The volume of the balls is then calculated using:

[tex]V = \frac{4}{3}\pi r^3[/tex]

The difference is then represented as:

[tex]D = \frac{4}{3}\pi (R^3 - r^3)[/tex]

Substitute known values

[tex]D = \frac{4}{3}* 3.14* (1.9^3 - 1.4^3)[/tex]

Evaluate

D = 17.2

Hence, the approximate difference in their volumes is 17.2 cubic inches

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What is the equation of the line that passes through the point (-6, -7) and has a
slope of1/2?

Answers

Answer:

y =  x/2 - 4

Step-by-step explanation:

Sean counts by 2s from 15 to 35. which number does Sean count?

HELP ME ASAP!!!

Answers

The number that Sean counts is 27.

What number does Sean count?

When Sean counts by 2s from 15 to 35, he would be counting odd numbers. An odd number is a number that cannot be perfectly divided by 2. There would always be a remainder.

Here are the options:

13

27

16

22

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[((a ^ 2 - 25b ^ 2) ^ 3 + (25b ^ 2 - 9c ^ 2) ^ 3 + (9c ^ 2 - a ^ 2) ^ 3)/((a - 5b) ^ 3 + (5b - 3c) ^ 3 + (3c - a) ^ 3)]​

Answers

The factorization is  [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³

To answer the question, w e need to know what factorization is

What is factorization?

Factorization is the breaking down of a larger expression into smaller expression by grouping it into its factors.

So, [{(a² - 25b²}³ + {25b² - 9c²}³ + {9c² - a²}³)/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]​

= [{(a² - (5b)²}³ + {(5b)² - (3c)²}³ + {(3c)² - a²)})/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]​

Using the fact that x² - y² = (x + y)(x - y) in the terms in the numerator, we have

[{(a - 5b)(a + 5b)}³ + {(5b - 3c)(5b + 3c)}³ + {(3c - a)(3c + a)}³/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]​

Factorizing out the denominator, we have

= [{(a + 5b)/(a - 5b)}³ + {(5b + 3c)/(5b - 3c)}³ + {(3c + a)/(3c - a)}³[(a - 5b)³ + (5b - 3c)³ + (3c - a)³]/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]​

Cancelling out the denominator, we have

= [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³

So, the factorization is  [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³

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f(x) = x². What is g(x)?​

Answers

Answer:

We want to get g(x) given that we know f(x) and the graphs for both functions. We will see ...

Step-by-step explanation:

the hcf of 12x^2-4xy+15x-5y​

Answers

Answer:

-1

Step-by-step explanation:

We have 2 letters, x and y. what letter is in all of them? none of them. that means the HCF can't contain a letter. let's take away the letters, we have 12, -4, 15, -5. Since -5 is a prime number. the answer is -1

From his eye, which stands 1.63 meters above the ground, Isaac measures the angle
of elevation to the top of a prominent skyscraper to be 17°. If he is standing at a
horizontal distance of 294 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary.

Answers

The height of the skyscraper if the angle of elevation to the top of a prominent skyscraper to be 17° is 91.51 meter

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the skyscraper, hence:

tan(17) = h/294

h = 89.88 meter

Total height = 89.88 + 1.63 = 91.51 meter

The height of the skyscraper if the angle of elevation to the top of a prominent skyscraper to be 17° is 91.51 meter

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what is the answer to 8^6÷8

Answers

the answer to this equation is 8^5

Answer:

32768

Step-by-step explanation:

8^6 is 262144

then divide 262144 by 8

so 262144 / 8 = 32768

Hope This Helped

Which number line represents the solution set for the inequality –4(x 3) ≤ –2 – 2x?

Answers

The solution to the inequality expression is x ≥ - 5

Inequality expressions

Inequality are expressions not separated by an equal sign. Given the inequality;

–4(x + 3) ≤ –2 – 2x

Expand

-4x - 12  ≤ -2 - 2x

Collect the like terms

-4x + 2x  ≤ -2 + 12

-2x  ≤  10

Divide both sides by -2

-2x/-2  ≤ 10/-2
x ≥ - 5

Hence the solution to the inequality expression is x ≥ - 5

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Answer:

First line

Explanation: Edge2023


Find the 14 term of the following geometric sequence.
10, 20, 40, 80,

Answers

Answer:

81920

Step-by-step explanation:

Finding the common ratio (r) :

20/102

Finding the 14th term :

a₁₄ = ar¹⁴⁻¹a₁₄ = ar¹³a₁₄ = (10)(2)¹³a₁₄ = (10)(8192)a₁₄ = 81920

Answer:

the 14th term in the sequence would be 81920.

Step-by-step explanation:

because you are multiplying by 2 each time to find the next multiply 80 by 2 giving you 160 again giving you 320 again giving you 640 than 1280 , 2560 ,5120 ,10240 ,20480 ,40960 ,finally the 14th number in the sequence multiplying 40960 by 2 would give you your answer of 81920.

(Refer to the attached image)​

Answers

Answer:

missing side: 133 cm

Explanation:

Provided 2 length sides and one angle also need to find one missing side.

So, use cosine rule:

⇒ a² = b² + c² - 2bc cos(A)

Insert values

⇒ g² = 166² + 147² - 2(166)(147) cos(50)

⇒ g² = 17794.3935

⇒ g = √17794.3935

⇒ g = 133.3956

g = 133          (rounded to nearest whole number)

Two similar triangles are shown below

Which two sets of angles are corresponding angles?

Answers

Answer:

I cant help unfortunately

Step-by-step explanation:

can you help me in the comprehension of the story uncle Marcos ?

My exam is in 4 hours btw

How many solutions are there for the system of nonlinear equations represented by this graph?

Answers

The total solution for the system of nonlinear equations represented by this graph is 2 solutions

Graphs and Functions

Quadratic function have a leading degree of 2. The graph of a quadratic function is parabolic in nature.

Since the given graph consists of a parabola, hence the total solution for the system of nonlinear equations represented by this graph is 2 solutions

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Solve the system of equations.

8x – y = 8
8x2 – y = 8

(0, 8) and (0, –8)
(1, 0) and (0, –8)
(2, 8) and (1, 0)
(3, 16) and (2, 24)

Answers

Answer:

(1, 0 ) and (0, - 8 )

Step-by-step explanation:

8x - y = 8 → (1)

8x² - y = 8 → (2)

since both equations are equal to 8 then equate the left sides

8x² - y = 8x - y ( subtract 8x - y from both sides )

8x² - 8x = 0 ← factor out 8x from each term

8x(x - 1) = 0

equate each factor to zero and solve for x

8x = 0 ⇒ x = 0

x - 1 = 0 ⇒ x = 1

substitute these values into (1) and solve for y

x = 0 : 8(0) - y = 8 ⇒ y = - 8 ⇒  (0, - 8 )

x = 1 : 8(1) - y = 8 ⇒ y = 0 ⇒ (1, 0 )

Question 2
suppose there is a city where the mean cost per
month of a one-bedroom apartment is $1,500, with a
standard deviation of $250.
approximately what percentage of one-bedroom
apartments in the city cost between $750 and
$1,000?

Answers

Using the normal distribution, it is found that 2.15% of bedroom apartments in the city cost between $750 and $1,000.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 1500, \sigma = 250[/tex]

The proportion of apartments that cost between $750 and $1,000 is given by the p-value of Z when X = 1000 subtracted by the p-value of Z when X = 750, hence:

X = 1000:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1000 - 1500}{250}[/tex]

Z = -2

Z = -2 has a p-value of 0.0228.

X = 750:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{750 - 1500}{250}[/tex]

Z = -3

Z = -3 has a p-value of 0.0013.

0.0228 - 0.0013 = 0.0215.

0.02215 = 2.15% of bedroom apartments in the city cost between $750 and $1,000.

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Find the slope and y-intercept for the following graph of a linear equation

Answers

Answer:

Slope: [tex]\frac{4}{1}[/tex]

Y - intercept: -1

Step-by-step explanation:

We can see from the graph that the slope is [tex]\frac{4}{1}[/tex].

We can also identify the y - intercept as -1.

Therefore, the linear equation would be y = [tex]\frac{4}{1}[/tex]x -1

Hope this helps:) Goodluck!

pls help me im confused!
angle #1 = x = ?

angle #2 = X + 30 = ?

Answers

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The measure of ∠1 is 30°, while the measure of ∠2 is 60°.

What are Complementary Angles?

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.

for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.

Since the two angles together form a 90° angle. The angles are complementary to each other, therefore, we can write,

∠1 + ∠2 = 90°

x + x + 30 = 90°

2x = 60°

x = 30°

Thus, the measure of the angles can be written as,

∠1 = x = 30°

∠2 = x+30° = 60°

Hence, the measure of ∠1 is 30°, while the measure of ∠2 is 60°.

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