Answer:
If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.
The average rate of change is [tex]\frac{6}{25}[/tex]
What is rate of change over an interval?'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'
According to the given problem,
Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]
y = log3x
⇒ a= 1
b= 3
Therefore,
⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]
⇒ [tex]\frac{log9 - log3}{2}[/tex]
⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]
⇒ [tex]\frac{1}{2}[/tex] * log 3
⇒ [tex]\frac{6}{25}[/tex]
Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]
Learn more about rate of change here: https://brainly.com/question/18193470
#SPJ2
Find the value of x.
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
--------------------------------------------------------------
Length Width Height
5 in. 214 in.
--------------------------------------------------------------
A) 79in.
B) 412in.
C) 134in.
D) 1018in.
mcyt mcyt mcyt mcyt mcyt
PLZ ANSWER QUIKCLY
Which expression is equivalent to -12(3x-3/4)
-36x-8
-36x + 8
-36x-9
-36x +9
Answer:
Last one, -36x+9.
Explanation: You need to multiply negative times positive which is negative. But look at the last one -12×-3/4 equals positive 36/4 which equals 9.
Can you figure out the missing number
Answer:
probably 6 thats one of the missing ones
use an inequality symbol to compare -3 + 7 ____-10 -2
Answer:
>
Step-by-step explanation:
-3 + 7 = 4
-10 - 2 = -12
4 > -12
Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!
find the value of x
please
Answer:
x = 51
Step-by-step explanation:
These angles equal each other because they're vertical angles so:
2x + 8 = 110
2x = 110 - 8
2x = 102
x = 51
Can someone help me plsssss I’ve been struggling
Answer: YES
REASON: Since a rectangle is made of two right triangles then a rectangle inscribed in a circle must have its diagonal as the diameter of the circle.
a/5=b/7 if b#0 what is the value of a/b
Answer:
A = 20
b = 28
Step-by-step explanation:
a = 20/5 = 4
b = 28/7 = 4
A sales representative notes that in a particular week he drove 1350 km and used 120 L of petrol. His sales patre
(in another vehicle) drove 940 km and used 88 L of petrol. Express their petrol usages as a rate in the form
kilometres: 100 L
9514 1404 393
Answer:
1125 km/(100 L)1068.2 km/(100 L)Step-by-step explanation:
If u represents the desired usage rate, then the proportion is ...
km/liters = ...
u/100 = 1350/120
u = 100(1350/120) = 1125 . . . . km/100 L — first vehicle
and ...
u/100 = 940/88
u = 100(940/88) = 1068.2 . . . . km/100 L — second vehicle
Mackenzie thought that the basketball
team would win 16 games, but they
only won 12. What was his percent
error?
His percent error is 25% because 12 is 75% of 16. 100 - 75 = 25
Answer:
75% correct and 25%error
Step-by-step explanation:
As 12÷16×100=75%
The error =100-75=25%
I just need help with this is anyone can help I would be happy Thx
Answer:
24 sq cm
Step-by-step explanation:
the big square is 20 and the small one is 4
The function f(x) = 600(0.981)x, where x is the time in years, models a declining lemming population How many
lemmings will there be in 3 years?
A.about 566
B.about 1,803
C.about 1,766
D.about 601
Answer:
The answer for this question is:
About 566 lemings
Step-by-step explanation:
Answer:
A.about 566
Step-by-step explanation:
Factor the expression (x+4)^2-4y^5(x+4)+4y^10
For the equation, complete the given ordered pairs.
3x-y=4
{0,_} [1,_} {_,4}
Can someone help me
Answer:
{0,-4} [1,-1} {8/3,4}
Step-by-step explanation:
3x - y = 4
{0,_} [1,_} {_,4}
For x = 0:
3x - y = 4
0 - y = 4
y = -4
For x = 1
3x - y = 4
3 - 3 - y = 4 - 3
-y = 1
y = -1
For y=4
3x - y = 4
3x -4 = 4
3x = 8
x = 8/3
Solution:
{0,-4} [1,-1} {8/3,4}
Please mark brainliest if this helped!
Please mark brainliest if this helped!
WILL GIVE BRAINLIEST!!!
In a test of hypothesis for a mean, which statement is CORRECT?
The population must be normal because that is the only case when the sample mean is Normally distributed.
As long as the population distribution consists only of positive values, sample size does not matter.
The population distribution can be any distribution because the sample mean is always Normally distributed.
The test requires that the sample mean is normally distributed; this requires that either the population distribution is Normal or the sample size exceeds 30.
Answer:
As long as the population distribution consists only of positive values, sample size does not matter.
Step-by-step explanation:
As long as the population distribution consists only of positive values, sample size does not matter.
This is a hypothesis because a hypothesis is basically a prediction of what's gonna happen; the other choices are mostly facts that can be backed up, this can only be confirmed after it happens since it can end in different ways. This is a prediction where it says that if the population distribution continues to go on to positive value, then the sample size won't matter; this can come out in different ways, the sample size could matter or it would have to be negative values, e.t.c. This has different ways it could end up.
What is the measure of ZBAC?
Step-by-step explanation:
50°+50°+θ=180°
θ=180°-100°
θ=80°
Answer:
80 or b....................................
What’s the area of the figure?
im a breadstick grrrr
Answer:
ok if u say so
Step-by-step explanation:
A store sells shirts.
• The store has 72 shirts.
• 25% of the shirts are green.
of the green shirts have stripes.
How many shirts are green and have stripes?
Answer:
54are green and have strips
Step-by-step explanation:
72=100% of the total number of shirts
25%=18 shirts
so that means 18 shirts are green
72-18=54
so 54 striped green shirts.
thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)
Answer:
A.
x + 2 + 12
Step-by-step explanation:
Thomas (t) = Andrew (x) * 2 + 12
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).
z=
Answer: The required z-score = 1.25
Step-by-step explanation:
Let x be a random variable that denotes the scores in the exam.
The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]
As per given, we have
X= 625, mean=500, standard deviation = 100
Z-score = [tex]\dfrac{625-500}{100}[/tex]
i.e. Z-score = [tex]\dfrac{125}{100}[/tex]
i.e. Z-score =1.25
Hence, the required z-score = 1.25
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points
Answer:
Step-by-step explanation:
The inequality Equation =
42 + 5x < 60
To stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Step-by-step explanation:
Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
Let the number of gigabytes = x
Under $60 means less than $60
The inequality =
$42 + $5×x < $60
42 + 5x < 60
Solving for x
42 + 5x < 60
5x < 60 - 42
5x < 18
x < 18/5
x < 3.6 Giga bytes
Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes
he National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2666 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.) The 95% confidence interval is ( , ).
Answer:
95% confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47956 ,0.50620)
Step-by-step explanation:
Step(i):-
Given that National Center for Health Statistics interviewed 5409 adult smokers in 2015
Sample size 'n' = 5409
Given that 2666 of them said they had tried to quit smoking during the past year.
proportion
[tex]P = \frac{x}{n} = \frac{2666}{5409} = 0.49288[/tex]
Q = 1 - P = 1 - 0.49288 = 0.50712
Step(ii):-
95% confidence interval for the proportion of smokers who have tried to quit within the past year
[tex]({P - Z_{0.05} \sqrt{\frac{PQ}{n} } , P + Z_{0.05} \sqrt{\frac{PQ}{n} )[/tex]
[tex]({0.49288 - 1.96 \sqrt{\frac{0.49288 X 0.50712}{5409} } , 0.49288 + 1.96\sqrt{\frac{0.49288 X 0.50712}{5409} )[/tex]
(0.49288 - 0.01332 , 0.49288+0.01332)
(0.47956 , 0.50620 )
Final answer:-
95% confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47956 ,0.50620)
−2(5d−9f)+7f−10(−9f−7d)
Answer:
38
Step-by-step explanation:
A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?
look at pic 10 pts will mark brainilest
Answer:
its a right angle and the area of it is 24
Step-by-step explanation:
at a football game, every person is either a fan of the home team or of the visiting team. omar observes that the ratio of fans of the home team to fans of the visiting team is 7:2. omar states that the total number of fans at the game must be an odd number because 7 + 2 = 9 and 9 is an odd number.
Determine a number of fans of the home team and a number of fans of the visiting team that show omar statement is false.
the first question is, enter a number of fans of the home team that would show Omar's statement is false.
the second question, enter a number of fans of the visiting team that would show omar statement is false.
pls I need help!!!!!!
please answer and explain #17 :)
Answer:
Solution given:
we have
m<PTQ=m<RTS
x+20=3x+12.
20-12=3x-x
x=
[tex] \frac{8}{2} [/tex]
now
16.m<PTQ=x+20=4+20=24°
17.
again
m<PTR+m<PTQ=180°[supplementary]
so
m<PTR=180°-24°=156° is your answer
Answer:
156°
Step-by-step explanation:
I see you have already found the x so now plug it in.
(4)+20=24
(4)(3)+12= 24
Since they are vertical angles, then they are congruent, thats why they are equal. By now I think you should know that a straight line is equal to 180, so lets take 1 angle to find the missing one.
We can also see that ∠PTR and ∠RTS are also vertical angles, so they are also congruent. So we only use one, 180-24=156
the answer is 156 because ∠PTR and ∠PTQ are in the same line making them supplementary.
Does that make sense?
find the surface area of the cube with 7 inches sides
Answer:
294
Step-by-step explanation:
surface area of a cube = 6* a^2
6 * 7^2
= 6* 49
= 294
