The range of the function is {0.16, 0.4, 1, 2.5, 6.25}. With an increase in the value of the domain, the range of the function is increasing.
What is a function?
A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The given function is
f(x) = 2.5^x.
Given domain is {-2, -1, 0, 1, 2}.
Now putting x = -2, -1, 0, 1, 2 in the function f(x) = 2.5^x.
When x = -2:
f(-2) = 2.5^(-2)
f(-2) = 0.16.
When x = -1:
f(-1) = 2.5^(-1)
f(-1) = 0.4
When x = 0:
f(0) = 2.5^(0)
f(0) = 1.
When x = 1:
f(1) = 2.5^(1)
f(1) = 2.5
When x = 2:
f(2) = 2.5^(2)
f(2) = 6.25
The range of the function is {0.16, 0.4, 1, 2.5, 6.25}
The values of the range increase with the increase of domain.
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given that the 11th term of arithmetic progression is 43 that the first term is 3 find the 4th term
Answer: 15
Step-by-step explanation:
The 11th term of arithmetic progression is 43. We can use this to get the common difference which will be:
a + (n - 1)d = 43
where,
a = first term = 3
n = nth term = 11
d = common difference = unknown
Therefore, a + (n - 1)d = 43
3 + (11 - 1)d = 43
3 + 10d = 43
10d = 43 - 3
10d = 40
d = 40/10
d = 4
Common difference = 4
Therefore, 4th term will be:
= a + (n - 1)d
= a + (4-1)d
= a + 3d
= 3 + 3(4)
= 3 + 12
= 15
The 4th term is 15
The cost of a skateboard c after a 15% discount can be represented by the expression c−0.15c . Simplify the expression.
Answer:
0.85c
Step-by-step explanation:
To simplify the expression, subtract like terms:
c - 0.15c
= 0.85c
So, the simplified expression is 0.85c
A random sample of 663 teens who said they did not typically eat fast food reported an average daily calorie intake of 2258, with standard deviation 1519. A random sample of 413 teens who said they did typically eat fast food reported an average daily calorie intake of 2637, with standard deviation 1138. The two populations are moderately positively skewed. Based on the above description, which of the following conditions are met for conducting a hypothesis test for the equality of two means?
a. Both samples are random
b. Samples are independent of one another
c. Both samples are normal enough given the sample size
d. Two population means need to be the same
Answer:
Option B
Step-by-step explanation:
The sample populations are independent of each other and hence for comparing of mean of two population it is very essential that the two populations independent of each other.
Now here one population set consist of only people who eat fast food and the other set of population consists of people who do not eat fast food.
What is the probability of drawing an even numbered card keeping it then drawing another even numbered card from a stack of 24 card numbered 1-24
Answer: I think
Step-by-step explanation:
1/12
please help me asap!!
Answer:
3
Step-by-step explanation:
If it is 10 on the big one and 5 on the small ones it is half. So half of 6 is 3
Answer:
f=3
Step-by-step explanation:
5/10=x/6
10x=30
x=3
Tara bought s sheets of stickers. There are 5 stickers on each sheet. Write an expression that
shows how many stickers Tara bought.
Please answer
Answer:
y= 5s
Step-by-step explanation:
Since 5 stickers are in every sheet depending on the number of sheets you get and times it with 5 you get the number of stickers Tara bought.
Find the missing side length. Round to the nearest tenth.
Can someone PLEASE HELP!!
Answer:
the answer is 17.0 or just 17
Step-by-step explanation:
you have to use the pythagorean theorem, a^2 + b^2 = c^2
a = 11 and b = 13
11^2 + 13^2 = c^2
121 + 169 = c^2
290 = c^2
square root each side, so you have to find the square root of 290 which is 17.0293864
round it to the nearest tenth which is 17.0 but you can just write 17
hope this helps you understand it and answer it :)
Answer:
[tex]\boxed {\boxed {\sf c \approx 17.0}}[/tex]
Step-by-step explanation:
This is a right triangle because of the small square in the corner. Therefore, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs and c is the hypotenuse.
In this triangle, 11 and 13 are the legs because they make up the right angle. The missing side is the hypotenuse because it is opposite the right angle.
[tex]a=11\\b= 13[/tex]
[tex](11)^2+(13)^2=c^2[/tex]
Solve the exponents.
11²= 11*11=12113²= 13*13=169[tex]121+169=c^2[/tex]
Add.
[tex]289=c^2[/tex]
We are trying to solve for c, so we must isolate the variable. It is being squared. The inverse of a square is the square root, so take the square root of both sides.
[tex]\sqrt {289}= \sqrt {c^2}[/tex]
[tex]17.0293864=c[/tex]
Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 0 in the tenth place.
[tex]17.0 \approx c[/tex]
The missing side is approximately 17.0
The 59th and 4th team of an Ap are - 61 and 64 respectively. Show that the common differences is - 2.5 and 23rd term is 16.5
Answer:
See answers below
Step-by-step explanation:
T59 = a+58d = -61
T4 = a+3d = 64.
Subtract
58d-3d = -61-64
-55d = -125
d =125/55
d = 25/11
Get a;
From 2
a+3d = 64
a+3(25/11) = 64
a = 64-75/11
a = 704-75/11
a = 629/11
T23 = a+22d
T23 = 629/11+22(25/11)
T23 = 1179/11
Solve the inequality 5 - 4x > -x+8
Answer:
x<-1
Step-by-step explanation:
5-4x>-x+8
adding 4x to both sides we get
5>3x+8
subtracting eight from both sides we get
-3>3x
dividing by three on both sides we get
-1>x
or x<-1
hope that helps if it does please mark my answer as brainliest.
Which number is composite?
A. 36
B. 2
C. 19
D. 23
Answer:
A. 36
Step-by-step explanation:
A composite number is a number that can be divided evenly by more numbers than 1 and itself. It is the opposite of a prime number. The number 36 can be evenly divided by 1, 2, 3, 4, 6, 9, 12, 18 and 36, with no remainder. Since 36 cannot be divided by just 1 and 36, it is a composite number.
How do I solve this
4+(3.7-x)=1.72
Answer:
x = 5.98
Explanation:
1. 4+(3.7−)=1.72
2. 4+(−+3.7)=1.72
3. 4−+3.7=1.72
4. 7.7−=1.72
5. −+7.7=1.72
6. −+7.7−7.7=1.72−7.7
7. −=−5.98
Then simplify to x =5.98
Which equation is equivalent to
4
1
+x=-
? Select all that apply.
4
6
X
6
X=
4
3
--
4 4
3
2
3
4.
) Intro
Answer:
3 and 2 r equivalent i belive
At Kira's school, 5/9 of the 360 students bring their lunch. The other students buy lunch in the cafeteria.
How many more students bring lunch from home than buy lunch?
A. 280 more students
B. 150 more students
C. 80 more students
D. 160 more students
Answer:
Options are incorrect
Step-by-step explanation:
Answer:
ansewr mine
The chart below shows how many times the students purchased lunch in the cafeteria. How many more days more did Amber purchase her lunch than Dana?
A. 12
B. 14
C. 15
D. 19
Step-by-step explanation:
A small publishing company is planning to publish a new book. One time fixed cost 65,018. The variable cost is 10$ . Publisher will sell book for 24.75
How many books must the publisher produce and sell
Answer:
i make the solving and i take this answer not shore if it right for u
65018
cost:10$
sell:24.75
cp:10
sp:24.75
cp = 100_×_24_.75_
100+65018
my answer was 3.806638162×10-⁴
Jessica just put 14.41 gallons of fuel into her car. There were 3.6 gallons in the car to begin with. How much fuel is in jessicas car now PLEASE HURRY!!
Answer:
18.01 gallons
Step-by-step explanation:
14.41
3.6
=18.01
is this a function? why or why not ?
What is the perimeter of the rectangle in the coordinate plane?
13 units
16 units
26 units
30 units
10+3+10+3= 26 units
the perimeter of the rectangle in the coordinate planes is 26 units
what is the slope between the points (14,1) and (6,-15)
Having trouble with this problem
Answer:
True
Step-by-step explanation:
Kenny uses 1/16 of chocolate syrup bottle for every scoop of ice cream eaten how many scoops has he eaten for 2 3/4 syrup
Answer:
Answer: Kenny has eaten 44 ice cream scoops.
Answer:
Kenny has eaten 44 ice cream scoops
Step-by-step explanation:
I did this quiz before and give Brainliest
The equation y=0.24x+1.20 can be used to predict the price of fuel oil per gallon,
where x is the number of years since 2002. According to the model, what will be the
price of fuel oil per gallon be in 2018?
Answer: $5.04
Step-by-step explanation:
1.) Start by subtracting 2002 from 2018. (2018-2002=16)
2.) plug into the equation ( y= 0.24(16)+1.20)
3.) plug into calculator and you should get 5.04
Answer:
5.04
Step-by-step explanation:
5.04
What is value of the expression below?(worth 20 points pls pls help due in 10 minutes;-;)
Answer:
1/16
2x2x2x2=16
1x1x1x1=1
Answer:
choice 4, 1/16
Step-by-step explanation:
(1/2)^4=(1/2)(1/2)(1/2)(1/2)=1/16
Please help will give brainliest
Answer:
I hope u understand ...
graph the linear equation y= -4/9x -4
Answer:
I used Desmos to graph it
Brandon says that 3/8 equals 8/13 because 3 + 5 equals 8 + 8 + 5 equals 13 is he correct ? Explain
U=x/k solve for x HELP THIS IS DUE IN 30 MIN
Answer:
first you multiply both sides by k. that makes kU equals x
What is the value of y in the equation y − 7 = 21? (4 points)
Question 1 options:
1) 7
2) 17
3) 21
4) 28
Answer:
4
Step-by-step explanation:
y-7=21
+7 +7
y=21+7
y=28
Answer:
4) 28
Step-by-step explanation:
Isolate the y
add 7 to both sides
y - 7 = 21
y - 7 (+7) = 21 (+7)
y = 21 + 7
y = 28
28 is your answer
hope this helps :D
6.
Suppose that a new class is opened for enrollment and currently
has 7 students. Is this class an outlier if it is added to the data set?
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
PLEASE ANSWER QUICKLY I NEED AN ANSWER PLEASE ;0;
Answer:
infinitely many solution......
15 PTS !!
NEED ASAP HELP !!
Answer:
314.16 m^2
Step-by-step explanation: