Evaluate 6 * 2 ^ x for a) x = - 2 and (b) x = 3 . Write your answers in simplest form.
Answers
Answer:
a. [tex]\frac{3}{2}[/tex] b. 48
Step-by-step explanation:
(a) The value of the expression when x = -2 is 1.5.
(b) The value of the expression when x = 3 is 48.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given that the expression is 6(2)ˣ.
To evaluate the expression 6(2)ˣ for different values of x, we simply substitute the value of x into the expression and simplify.
(a) When x = -2, we have:
6(2)⁻² = 6(1/4) = 1.5
So the value of the expression when x = -2 is 1.5.
(b) When x = 3, we have:
6(2)³ = 6(8) = 48
So the value of the expression when x = 3 is 48.
To learn more about the function;
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Related Questions
Solve for t.
5 = 2 + 3t
Answers
Answer:
T = 1
Step-by-step explanation:
5 - 2 = 3 since it has to be 3, T = 1, therefore, it will still be 3 and not any other number
Answer:
1
Step-by-step explanation:
3-2=1
(to check: 2+(3x1)= 5)
what is the correct order of the numbers from least to greatest. 1/2, 0.6, 6%, 6/5
Answers
Answer:
6%, 1/2, 0.6, 6/5
Step-by-step explanation:
Answer:
6%, 1/2, 0.6, 6/5
Step-by-step explanation:
you can convert all of these to fractions over a 100 to compare them. 6 percent is 6/100, 1/2 is 50/100, .6 is 60/100, and 6/5 is 125/100
A political scientist wants to estimate the percent of registered voters in Florida who plan to vote for a particular candidate. The political scientist interviews 4000 randomly selected registered voters in Florida and asks who they plan to vote for. 58% say they plan to vote for the candidate. Which of the following statements is true?
a. 58% is a parameter because it describes a population characteristic.
b. 58% is a statistic because it describes a sample characteristic.
c. 58% is a statistic because it describes a population characteristic.
d. 58% is a parameter because it describes a samic characteristic.
Answers
Answer:
b.) 58% is a statistic because it describes a sample characteristic.
Step-by-step explanation:
The randomly selected 4000 voters represents a randomly selected observations from the population of registered voters
Hence, 4000 is a sample.
The percentage of voters who would vote for a particular candidate represents a numerical characteristic derived from the sample drawn.
Recall that, numerical characteristics or values which are calculated from the sample is known as statistic while those derived from the population are called parameter.
Hence, 58% is a statistic as it describes a sample characteristic.
You can use definition of parameter and statistic and then can use them to find what does 58% denotes here.
The true statement is given by:
Option B: 58% is a statistic because it describes a sample characteristic.
What is a population and parameter?The entire group or system which we are taking in consideration is population. Nothing bigger than it lies there in consideration.
Ex: If we're taking about health problem in a country, then the whole country people form a population.
If we're taking about numbers on a 6 face die, then those 6 numbers on 6 faces form a population.
Those numbers who summarize information about population are called parameter.
What is sample and statistic?A portion of population taken and analyzed to predict information about population is called sample of that population.
Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.
Those numbers who summarize information about sample are called statistic.
(Statistic is different than statistics)
Using above definitions to conclude what 58% refers toSince the 58% is from the 4000 people randomly selected by the political scientist, thus, it is information about sample and thus, is a statistic.
Thus,
The true statement is given by:
Option B: 58% is a statistic because it describes a sample characteristic.
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The side Length of the base of a square pyramid is 30 centimeters.The height of the pyramid is 45 centimeters. What is the volume of the pyramid in cubic centimeters?
Answers
Answer:
v=l×h
l=30
h=45
v=30×45
v=75cm
Write the explicit equation for the graph below.
Answers
Answer:
[tex]y = 5 \cdot 3^x[/tex]
Step-by-step explanation:
It was not quadratic or cubic, but exponential.
1. Which other expression has the same value as (-14) - 8?
Answers
Answer: −22
Step-by-step explanation:
=−14−8
=−14+−8
=−22
2,894 times 3 show your work
Answers
6sqrt20 + 8sqrt5 - 5sqrt45
Answers
Answer:
11.1803398875
Step-by-step explanation:
Jerome is a co- owner of a small company and received 1/3 of the company's profits this year what were the company's overall profits if Jerome made 150,000?
Answers
Solve each system by substitution.
2) 4x + y = -8
8x + 2y=5
A) (4-6)
C) (54,6)
B) No solution
D) (-6,4)
Answers
Answer:
b. no solution
Step-by-step explanation:
change to slope-int form
y=-4x-8
y=-4x+5/2
see how the slopes are the same but the y-int are different? they are parallel, so they never touch
Does 9x mean I multiply 9 times X?
Answers
Answer:
yes
Step-by-step explanation:
Isabella's Flower Shop sells a variety of flowers. Roses cost $5 each. The shop gives a discount of $1 off per rose if more than 10 are bought. Daisies are sold in bunches of 6 flowers and cost $4 per bunch. • Nala bought 12 roses for her friend's going-away party. • Hector bought his mother 4 bunches of daisies for her birthday. • Petunias cost $2 more per bunch than daisies. Use the axioms to make three conclusions about the flowers Isabella sells.
Answers
Answer:
Isabella earned $48 from Nara. Isabella earned $16 from Hector. Isabella sells petunias for $6 per bunch (the number of petunias per bunch is unclear).
Step-by-step explanation:
Nala bought 12 roses which is greater than 10. So she received a $1 discount for each one. Nara spent 12*4=$48 dollars.
Hector bought 4 bunches of daisies meaning that Hector spent 4*4=$16.
Petunias cost $6 per bucnh.
20 POINTS FOR CORRECT HURRY PLS
The figure below shows two triangles on the coordinate grid:
A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair 4, 1, vertex B on ordered pair 3, 1, and vertex C on ordered pair 3, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 4, 4, vertex B prime on ordered pair negative 3, 4, and vertex C prime on ordered pair negative 3, 1.
What set of transformations is performed on triangle ABC to form triangle A′B′C′?
A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin
A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin
A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down
A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down
Answers
Answer:
Well, I think it’s the second one. (not exactly sure though)
Step-by-step explanation
Hope I helped. Pls mark brainliest
What is the answer to this question?
Answers
turn 12/5 into a mixed fraction
Answers
Answer:
2 2/5
Step-by-step explanation:
I hope this helps
Set up the division problem in long division format.
5/12
just divide this you should get your answer.
To adopt a dog from an animal shelter, you must pay $60 for vaccinations, $55 to spay or neuter the dog, and $30 for a wellness exam by a veterinarian.
Answers
I need help rlly fast if you know how to do this pls help me
Answers
Answer:A,B, and D
Step-by-step explanation:
You can purchase 2 sodas for 3 dollars, how much does 6 sodas cost?
Answers
Answer:
It costs $9
Step-by-step explanation:
Lets look at the ratio:
2/3
We need x:
6/x
Make an equation using the butterfly method:
3(6) = 2x
Simplify:
18=2x
Divide both sides by 2:
x=9
It costs $9
Help me please, Due now.
Answers
Factor the expression completely.
1882 - 32
Answers
Answer:
2 (941 - 16)
Step-by-step explanation:
You need to first find a number that is a factor of 1882 and -32
In this case it would be 2
So you factor out 2
= 2 (941 - 16)
Anyone know this answer
Answers
YZ and XZ
Select all tables thaf represent A proportional relationship between x and y.
A: X: 0, 1, 2, 3
Y: 3, 6, 9, 12
B: X: 2, 3, 4, 5
Y: 12, 18, 24, 30
C: X: 2, 4, 6, 9
Y: 0, 2, 4, 6
D: X: 0, 1, 2, 3
Y: 0, 2, 5, 9
Answers
A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 20%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green?
10%
20%
30%
70%
Answers
Answer:
The answer would be 70%
Step-by-step explanation:
because 10+20=30
so subtract 30% from 100%
100-30=70
Answer:
70
Step-by-step explanation:
PLS HELP ME!!! this is my third time posting this! FIND X!
Answers
Answer:
You are looking at a pair of parallel lines (a and b) and a transversal that crosses them both.
Now that you know what think back to when you learned the relationship between angles formed by a transversal and a set of parallel lines.
You can have same side exterior, same side interior, alternate interior and alternate exterior. Which set of these are these angles?
Remember same side interior and same side exterior angles are supplementary (they have a sum of 180 degrees). Alternate interior and alternate exterior angles are congruent. Knowing this how can an equation be written using the expressions in the image?
Step-by-step explanation:
Answer:
x = 3.4
Step-by-step explanation:
Since these two angles are opposite exterior angles, they are equivalent. that means that 5x - 2/3 = 3 1/3x + 5, from here you should simplify the terms so you have all of x on one side and all of the number on ther other, it should be 1 2/3x = 5 2/3, then all you have to do is divide both sides by 1 2/3 to get x which is 3.4 or 3 2/5
The NEC permits 20% of the cross sectional area in a wireway to be occupied by conductors.for an 8"×8"×6' long wireway the conductors can occupy. In squared?
Answers
Answer:
Step-by-step explanation:
Sjaoa
The required cross-sectional area in a wireway is 12.8 In squared.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have been given an 8"×8"×6' long wireway the conductors can occupy.
Since the NEC permits 20% of the cross-sectional area in a wireway to be occupied by conductors
So the required cross-sectional area in a wireway is
⇒ 20 % of ( 8"×8" )
⇒ 0.20 × (64 )
⇒ 12.8 In squared
Thus, the required cross-sectional area in a wireway is 12.8 In squared.
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Which of these is a ratio table?
Answers
Answer:
Step-by-step explanation:
one or four, if u can only have one try than four
Write the word sentences as an equation. Then solve the equation.
A number k increase by 7 is 34.
An equation that represent this word sentences is?
The solution is k=?
Answers
Answer:
k+7=34
k=27
Step-by-step explanation:
what grade is this for?
hope this helps
What is the answer?1+-8- -3(7)
Answers
Answer: 14
Step-by-step explanation:
Answer:
I'm pretty sure it should be 14 :)
If one side of a square is increase by 10 units, the area of the rectangle formed is 3 times the area of the square. Find the area of the rectangle.
Answers
Answer:
75 square units
Step-by-step explanation:
(x+10)x=3x^2
x^2+10x=3x^2
10x=2x^2
5x=x^2
x=5
Plugging in 5 into either of the initial equations yields the answer.
Two balloons, Balloon A and Balloon B have a total volume of gallons. Balloon A has a greater volume than Balloon B. The difference in their volumes is a gallon. What is the volume of each balloon?
Answers
Answer:
A=2 B=1
Step-by-step explanation:
