Let f(x) = x2 and g(x) = x − 3.
Evaluate (f ∘ g)(−2).
1
25
−7
20 My guess
Answer:
[tex]25 = f(g(-2))[/tex]
Step-by-step explanation:
[tex]g(-2) = -2 - 3 = -5 \\ \\ f(-5) = {[-5]}^{2} = 25 \\ \\ 25 = f(g(-2))[/tex]
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For the geometric sequence 3, 12, 48, 192 find the indicated term
Evaluate f(x)= 1.8 X 2^x for x=6
A: 115.2
B: 2176.78
C: 21.6
Question:
Evaluate f(x)= 1.8 X 2^x for x=6
Answer choices:
A: 115.2
B: 2176.78
C: 21.6
Answer:
A:115.2
Step-by-step explanation:
F(x) F(6)
=1 . 8 • 2 • 1
=1 . 8 • 261
=1 . 8 • 64115.2
=115.2
Hence, your answer is A:
If you are given the height and base of a pyramid, how would you get the slope of one of the triangular faces?
by using the Pythagorean theorem
use the height and half the base dimension for the 2 edges of a triangle and the slope ( slant height) would be the hypotenuse
so: SQRT(height ^2 + half of base^2) = hypotenuse ( Slant height)
Suppose that a department contains 8 men and 16 women. how many different committees of 6 members are possible if the committee must have strictly more women than men
Bill spends two days driving from point a to point
b. on the first day, he drove 2 hours longer and at an average speed 5 miles per hour faster than he drove on the second day. if during the two days he drove a total of 680 miles over the course of 18 hours, what was his average speed on the second day, in miles per hour?
Answer: his average speed on the second day is 35 miles per hour
Step-by-step explanation:
Bill spends two days driving from point a to point b
Let x = his speed on the first day.
Let y = his speed on the second day
Speed = distance / time
Time = distance / speed
Total time spent on the trip is 18 hours
Let time that he spent on the first day be t hours
Time that he spent on the second day will be 18 - t
Bill drove 2 hours longer on the second day than on the first day. This means
t = 18 - t + 2
t+t = 18+2
2t = 20
t = 10
He spent 10 hours on the first day.
He spent 18-10 = 8hours on the second day.
Bill drove at an average speed of 5 miles per hour faster than he drove on the second day. This means that
x = y + 5 - - - - - - - -- 1
Distance travelled on the first day = speed on the first day × time spent. This becomes
10 × x = 10x miles
Distance travelled on the second day = speed on the second day × time spent. This becomes
8 × y = 8y miles
He drove a total of 680 miles over the course of the 18 hours. This means that
10x + 8y = 680 - - - - - - - - 2
Substituting equation 1 into equation 2, it becomes
10(y + 5) + 8y = 680
10y + 50 + 8y = 680
10y + 8y = 680 - 50
18y = 630
y = 630/18 = 35 miles per hour
x = y + 5 = 35 + 5
x = 40 miles per hour
First step to solve the equation 9h-21=99
The perimeter of a rectangle is 66 m. the length is 1 m more than three times the width. find the dimensions of the rectangle.
A map shows the distance between the corner of Cactus Road and 1st Street and the corner of 1st Street and Merle Road as 3 inches. If the scale is 1 in. : 3.7 mi, what is the actual distance? A. 1.3 mi B. 22.2 mi C. 11.1 mi D. 111 mi
When two lines intersect to form a 90 degree angle, these lines are called ________ lines?
Answer:
perpendicular lines.
Step-by-step explanation:
A trainer gives his horse, Caballo, 7 gallons of water every day from a 57 - gallon container. How many days will Caballo receive his full portion of water from the container? On which number day will the trainer need to refill the container of water?
2/3 + y - 1/9 = 7/9 Solve for Y
2 1/2x - 3/4(2x + 5) = 3/8 Solve for X
0.9 (x + 1.4) - 2.3 + 0.1x = 1.6 Solve for X
Answer:
A. Y = 2/9
B. X = 11/24
C. X = 2.64
The graph of which function passes through (0,4) and has a minimum value at 3pi/2, 3
Answer: f(x) = sin(x)+4
Step-by-step explanation:
Two events e and f are __________ if the occurrence of event e in a probability experiment does not affect the probability of event f.
Two events are independent if the occurrence of one event does not affect the probability of the other event.
Explanation:Two events are independent if the occurrence of one event does not affect the probability of the other event. This means that the outcomes of the two events are not related and the probability of one event happening does not change based on whether the other event occurred or not.
For example, if you flip a coin and roll a die, the outcome of the coin flip does not affect the probability of getting a certain number on the die roll. The two events are independent.
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Sakura speaks 150 words per minute on average in Hungarian and 190 words per minute on average in polish she once gave cooking instructions in polish Sakura spent 5 minutes total giving both instructions and spoke 370 more words in polish than Hungarian
Romeo and Juliet headed north at 8.a.m by noon Romeo was 80 miles ahead of Juliet what was romeos speed if Juliet's speed was 30 miles per hour? Will give brainlest for help!!!
Why did Benjamin Franklin use the pseudonym “Richard Saunders” when writing Poor Richards Almanac?
A line parallel to a triangle's side splits AB into lengths of x - 7 and x - 3. The other side, AC, is split into lengths of x and x + 12. What is the length of AC?
33
[tex]\frac{x-7}{x} = \frac{2x-10}{2x+12}[/tex] → x = [tex]\frac{21}{2}[/tex]
AC = x + x + 12 = [tex]\frac{21}{2} + \frac{21}{2}[/tex] +12 = 33
how to simplify 6/35
Rosa brought d drawings to an art show. After selling 14 of them , she had 34 left . Identify the equation that represents this situation and the correct solution
Answer:
[tex]d-14=34[/tex] shows that when we add sold drawing we get the total drawings.
Step-by-step explanation:
We have been given that Rosa brought d drawings to an art show.
After selling 14 of them, she had 34 left.
We have to form a equation such that when we add 14 in 34 we get the total of drawings.
[tex]d-14=34[/tex] (1)
Equation (1) shows that when we add sold drawing we get the total drawings.
Answer:
d - 14 = 34; d = 48
Step-by-step explanation:
If you know the density and volume of a substance, how could you find its mass?
A bag contains 4 red marbles, 5 yellow marbles, and 6 blue marbles. three marbles are to be picked out randomly (without replacement). what is the probability that exactly two of them have the same color
Is it true that a continuous function that is never zero on an interval never changes sign on that interval? give reasons for your answer?
Yes, It is true that a continuous function that is never zero on an interval never changes its sign on that interval.
What is a continuous function?In mathematics, a continuous function is a function such that a continuous variation of the argument causes a continuous variation of the value of the function. This indicates that there aren't any discontinuities or sudden changes in value.
Unchanged sign is a property of continuous functions that are never zero on an interval, hence this is true. This is due to the perennially significant Intermediate value theorem.
Therefore, It is true that a continuous function that is never zero on an interval never changes its sign on that interval.
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Answers to question 5 and 6 please xx
A population grows with an annual growth rate of 16.5 % per year. (a) what is the monthly growth rate
An iron fence reacts with the oxygen in the air to form rust. The formation of rust is an oxidation-reduction reaction and a _____ reaction.
A. decomposition
B.combustion
C. synthesis
D. single-replacement
The formation of rust on an iron fence is a synthesis reaction, where iron combines with oxygen in the air to create iron oxide. During this process, iron is oxidized and oxygen is reduced, making it an oxidation-reduction (or redox) reaction.
Explanation:The formation of rust is an oxidation-reduction reaction and a synthesis reaction. Rusting occurs when iron reacts with oxygen in the air, typically in the presence of water, to form iron oxide.
The process can be summarized as iron (Fe) being oxidized to iron(II) ions (Fe2+) which react further with oxygen and water to produce a hydrated iron(III) oxide, commonly known as rust (Fe2O3·xH2O).
This process is classified as a synthesis reaction because it involves the combination of simpler substances - iron and oxygen - to form a more complex compound, namely iron oxide.
In comparison to other types of reactions, decomposition refers to a single compound breaking down into two or more simpler compounds or elements.
Combustion reactions involve fuel (often a hydrocarbon) reacting with oxygen to produce carbon dioxide and water.
Lastly, single-replacement reactions occur when an element replaces another element in a compound. Since the reaction of iron with oxygen adds oxygen to create a new product, rather than decomposing, combusting, or substituting, it is indeed a synthesis reaction.
rewrite d= 2r in function notation
The equation d = 2r can be rewritten in function notation by replacing 'd' with 'f(r)', giving the function f(r) = 2r.
Explanation:To rewrite the equation d = 2r using function notation, we first need to understand that function notation is a way to represent a function that is derived from a certain equation. Here, the equation given is d = 2r, where d is in terms of r.
To translate this into function notation, we would change d to f(r). The letter f stands for 'function', and the (r) is the variable that the function is dependent upon. Therefore, the equation d = 2r would be rewritten in function notation as f(r) = 2r.
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What is the solution to 3x+2.4≥3.0
Answer:
A
Step-by-step explanation:
Which graph represents the division of -12 / 4 ?
If w||v, solve for x.