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
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Please help mee (don't send a link)
Answer:
a
Step-by-step explanation:
the sign flips when you divide or multiply one
Answer:
B.
Step-by-step explanation:
4x-8>(with a line underneath)12
-8 -8
4x>(with a line underneath)12
/4 /4
x>(with a line underneath)3
It stays the same because you aren't dividing or multiplying by a negative. Only a negative will cause you to flip the inequality sign.
Pls help:( me on this
Answer:
D
Step-by-step explanation:
Root square of 3 is 1.732, the root square of Pi is 1.77, the root square of 8 is 2.82 and the estimated value of Pi itself is 3.14.
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Answer:
A) Ed
Explanation: How i got it was by first looking at what Eric’s weight loss program, I then guessed he lost about the same amount of weight each week (1.5), i then did that times 4 since that’s how many weeks were recorded on the chart which gave me 6. I then looked at the chart again and saw that Ed first started with the weight 205 and by week 4 his weight was 197, I then did 205-197 which equals 8, I then decided that Ed lost more weight.
Answer: Ed
Step-by-step explanation:
find the surface area of the nearest whole number
Answer:
46
Step-by-step explanation:
Hope it Helps
Brainliest please
Please help me immediately... i need help
Tory sold 50 balloons for School Spirit Day. He raised $37.50. He wrote this equation to show how much he charged for each balloon.
= 37.50
What mistake did Tory make in writing his equation? What is a correct equation and its solution?
A. He divided b by 50 instead of by 37.50. A correct equation is = 50. Its solution is $1,875.
B. He divided b by 50 instead of dividing 50 by b. A correct equation is = 37.50. Its solution is $1.33.
C. He divided b by 50 instead of multiplying b by 50.A correct equation is 50b = 37.50. Its solution is $0.75.
D. He divided b by 50 instead of setting up a proportion. A correct equation is = . Its solution is $1,875.
Answer:
Answer is C $0.75
Step-by-step explanation:
50b = 37.50
divide both sides by 50
50 cancels out b is by itself.
37.50 divide by 50= 0.75
The mistake Tory made is he divided b by 50 instead of multiplying b by 50. A correct equation is 50b = 37.50. Its solution is $0.75.
What does division mean?Division is a mathematical operation that involves the grouping of a number into equal parts using another number. The sign used to denote division is ÷.
The equation that represents the total amount raised: total balloons sold x cost of one balloon
b x 50 = 37.50
b = 37.50/ 5-
b = $0.75
To learn more about division, please check: https://brainly.com/question/13281206
Which is the better buy: 12 OZ for $1.25or 18 OZ for $1.75?
Answer:
18 OZ is better$1.75 to buy
Which of the following statements is true?
A
When determining the most frequently chosen item, use mean.
B
When the data are not numerical, use mode.
C
When the data have no outliers, use median.
D
When an outlier may significantly influence the mean, use mode.
Answer:
C
Step-by-step explanation:
The answer is C.
Please answer or give the steps to answer please please please this is my state test and i can’t fail
Answer:
1. 466.3ft
2. 12.1m
Step-by-step explanation:
1.
Imagine this as a triangle like shown in pic attached, then use tan to find 'x', the distance between the base of the tower and the fire:
tanA=opposite/adjacent
tan25=x/1000
x=100tan25
x=466.3ft
2.
Imagine this as a triangle like shown in pic attached, then use sine to find 'x', the kite's vertical height above the boy's hand:
sinA=opposite/hypotenuse
sin12=x/50
x=50sin12
x=10.4m
The kite's height off the ground is this plus the height of the boy's hand from the ground: 10.4+1.7=12.1m
3) A basketball player averaged 17.3 points per game during his collegiate career. He played in 148
games total. How many points did he score while in college? Round to the nearest whole
number.
a. 2000
b. 2500
c. 2560
d. 2560.4
THIS IS FOR A TEST
Find the measures of the numbered angles in the isosceles trapezoid.
m<1=
9514 1404 393
Answer:
49°131°131°Step-by-step explanation:
The base angles are congruent in an isosceles trapezoid.
∠1 = 49°
Same-side angles are supplementary in any trapezoid.
∠2 = ∠3 = 180° -49°
∠2 = ∠3 = 131°
can someone help me
Answer:
Step-by-step explanation:
The base is 4 and the length is 8 b x l 8×4 =32
There is a bag of marbles that contain 5 blue, 6 red, 3 black, and 2 yellow marbles. What is the probability that you select a black marble
Answer:
3/16
Step-by-step explanation:
5 blue, 6 red, 3 black, and 2 yellow
total number of marbles = 5 + 6 + 3 + 2 = 16
p(black) = (number of black marbles)/(total number of marbles)
p(black) = 3/16
Answer: 3/16
Answer:
3/16
Step-by-step explanation:
add up all of the marbles then find out how many black marbles you have. Then you end up with 3/16
Jamal can run 0.5 miles in 4 minutes. If he keeps the same pace and runs for 14.4 minutes, how many miles will he have run?
Answer:
1.8
Step-by-step explanation:
First, we calculate the speed. That is 0.5/4. Then we multiply by the min. he ran which is 14.4. The answer gets you to 1.8
By the way, can you follow me on Brainly?
Thanks!
Answer:
14/4=3.5
3.5x0.5=1.75 miles
He will have run 1.75 miles
There are 7 apples and 15 oranges in a fruit basket at the grocery store. What is the ratio of oranges to all fruit
Answer:
15:22
Step-by-step explanation:
15 oranges and 22 fruits in total
Adam is thinking of a mystery number. If he divides it by 9 and then subtracts 7 from it, the result is 1. What is Adam's mystery number?
Answer:
72
Step-by-step explanation:
1+7=8
8*9+72
Find the area of the composite figure.
Answer:
B. [tex] 200.5 \: {m}^{2} [/tex]
Step-by-step explanation:
Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m
[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]
-8x^43
What is the end behavior? Please show work, for instance, x→∞
Answer:
x→∞, f(x)→ - ∞
x→ - ∞, f(x)→∞
Step-by-step explanation:
I NEED HELP PLEASE HURRY
ITS B!!
BRANLIEST PLEASE and thanks
Answer: the turquoise option (teal?)
x[tex]\leq[/tex]$87.26
Step-by-step explanation:
subtract $50 from $137.26. that's how much you can spend without getting charged. $87.26. you can spend less than or exactly $87.26 without getting charged. for the inequality symbol, it would be [tex]\leq[/tex] (less than or equal to)
i have spanish assignments on that same exact website lol
PLS PLS PLS ANSWER IT QUICKKKK
Answer:
A
Step-by-step explanation:
Find the area of the figure to the nearest tenth
A. 99.0 in.
B. 31.5 in.
C. 11.0 in
D. 155.5 in.
Answer:
155.5 is the answer
Step-by-step explanation:
Answer:
The correct answer is A) [tex]99.0 \ in.^{2}[/tex]
Step-by-step explanation:
Just took the test
hope this helps :)
The length of a rectangle is 3 yards less than 5 times the width. If the perimeter is 102 yards, find the length and the width of the rectangle.
Answer:
Width = 9 yards, length = 42 yards
Step-by-step explanation:
Perimeter = 2xlength + 2xwidth. Let's call length L and width W. The question also states that L = 5W-3. Therefore, 102 = 2x (5W-3) + 2W. Then, 102 = 12W - 6. 108 = 12W, so W = 9 yards. Since L = 5W - 3, we get 45-3 = 42 yards.
Find the tangent of angel U.
Answer:
C
trust me that is my answer
Bob wants to buy a car. He puts $8,000 in a savings account that has a
simple interest rate of 4%. If he leaves his money in the account for 3
years, how will be in his account in TOTAL after 3 years?"
A-$960
B-8,960
C-7,040
D-$320
9514 1404 393
Answer:
B. $8,960
Step-by-step explanation:
Use your number sense.
If the account earns interest, the balance will increase from the initial deposit of $8000. The only sensible answer choice is B, $8960.
__
If you want to actually figure it out, the balance is given by ...
A = P(1 +rt)
A = 8000(1 +0.04·3) = 8000(1.12) = 8960 . . . . matches choice B
Please help me with the two column proof
Part 2B
Answer:
Step-by-step explanation:
I can't read the diagram well enough to tell you how exactly this should be done and I've been reprimanded a couple of times for using comments to solve problems, but this much I can tell you.
You need 2 angles
One comes from vertical angles being equal.
the other comes from the other end of the line that is bisected. Be careful to chose this angel. The two angles are equal because the lines are parallel.
Now what you have is ASA which always proves congruency. AAS should never be used if you can avoid it. If you search out AAS on the internet you will find long discussions on why AAS should never be used.
In this case it will work but even if it does, it should be avoided because you may run into questions where there are conditions that make AAS incorrect. Even if you are told it is OK in your lessons, you should not do it.
lecture ends.
Sorry.
Can someone help me solve this please!
Answer:
a)
Point A: Quadrant 1
Point B: Quadrant 3
b)
x intercept: -2, 0
y intercept: 0, 1
c)
slope: 1/2 or 0.5
Write an expression that represents the height of a tree that begins at 5 feet and increases by 4 feet
per year. Let y represent the number of years.
h ft
5 ft
30 ft
6 ft
A. 20
B.25
C.23
D.30
Please help!!
Answer:
25ft
Step-by-step explanation:
You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:
30/6=5
Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:
5 x 5=25
I hope this helped you!
A ticket selling company charges a service charge of $4 to buy tickets.
Each ticket costs $55. Which equation represents the cost of buying
tickets through the company.
Answer=D, Y=55x + 4. This is the answer.......
Btw: this is my first answer I done ;)
5. Alexis has $95. She has 2 more five-dollar bills, 5 more one-dollar bills, and 2 more
ten-dollar bills than Kasai. How much money does Kasai have?
Answer:
60
Step-by-step explanation:
:)) tht should b right
Find the equation of circle passing through points (5 7) and (2 -2 ) whose center lies on the 2x-y=1
Answer:
(x-2)²+(y-3)²=5².
Step-by-step explanation:
1. the equation of line through points (5;7) and (2;-2) is:
[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]
2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:
the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.
3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):
middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.
the required equation is x+3y-11=0
4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:
[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]
the point (2;3) is the centre of the required circle.
5. to calculate the radius² of the required circle:
r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².
6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:
(x-2)²+(y-3)²=5².