Answers
Answer:
Option (1)
Step-by-step explanation:
Exponential equation that models the increase in the number of books has been given as,
[tex]B=8700e^{0.04t}[/tex]
Here, B = Number of books
t = Number of years
Number of books after t = 3,
[tex]B=8700\times e^{0.04\times 3}[/tex]
[tex]=8700\times e^{0.12}[/tex]
= 9809.226
≈ 9809
Therefore, Option (1) will be the correct option.
Answer:
After 3 years, the library will have approximately 9,809 books.
Step-by-step explanation:
If [tex]t[/tex] represents the number of years passed, in the time of 3 years, the library shall have [tex]8700e^{0.04*3} = 8700e^{0.12}[/tex] ≈ [tex]8700*1.12749[/tex] ≈ [tex]9,809[/tex] books.
Related Questions
A rock with a mass of 25 g is added to a graduated cylinder containing 45 mL of water. The water level rises to the 50mL mark. Based on this information, what is the density of the rock?
Answers
Answer:
We know the density of water is 1 gm/ml
Mass of rock = 25 g
Volume of rock = 5 ml
So the density of the rock is 25 g / 5 ml = 5 gm / ml
A map of an island is shown on a half-centimetre grid,
where A, B and Care houses.
The actual distance between A and B
is 960 metres.
a) Work out the scale on the map.
A
Give your answer in the form 1:n
+
(2)
b) Work out the actual distance
between A and C in kilometres.
Your final line must say, AC = ... km
c
(4)
Total marks: 6
Answers
Answer:
The answer is b.
Step-by-step explanation:
Answer:
a) 1:48000 b)1.6128km
Step-by-step explanation:
The sticker price for a new car takes into account the compensation made to the salesperson who managed the sale. This compensation is an example of what type of cost?
A): dealer cost
B): shipping cost
C): manufacturing cost
D): sales commission
Answers
A teacher has 1/4 gallon or mlik
Answers
Answer:
notify me when you finish the question so i can answer ok
Step-by-step explanation:
Answer:
This means that there is 3/4 gallon or quarts left of milk that the teacher has.
Step-by-step explanation:
I need an Answer not a link.
Answers
Answer: C
Step-by-step explanation:
Plz tell me if i am wrong
find equation of the line that contains the point (4,-2) and is perpendicular to the line y= _2x+8
Answers
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
9514 1404 393
Answer:
y = 1/2x -4
Step-by-step explanation:
We presume the given line is ...
y = -2x +8
This is in slope-intercept form, which allows us to determine easily that the slope of this line is -2.
A perpendicular line will have a slope that is the opposite reciprocal of -2:
m = -1/(-2) = 1/2
The y-intercept of the desired line can be found from the point (x, y) = (4, -2) using the equation ...
b = y - mx
b = -2 -(1/2)(4) = -4
Now, we know the slope and y-intercept of the desired perpendicular line through (4, -2), so we can write its equation as ...
y = 1/2x -4
__
Additional comment
"Slope-intercept form" is ...
y = mx + b . . . . . . where m is the slope and b is the y-intercept
What’s the median of 70,77,80,81,82,87,88
Answers
Answer:
Hello There!!
Step-by-step explanation:
You order them but in this case they are already ordered and the middle number is 81 so that is the median(also knows as the middle).
hope this helps,have a great day!!
~Pinky~
Answer:
The median is 81.
Step-by-step explanation:
You can find the median in the middle if it all of them add up to odd.(like your’s say 70, 77, 80,... so that You will count them all. In total you have seven numbers and it’s odd).
if it is an even numbers, you mulitply the middle two numbers and divide them by two. That is the median for even numbers.
Find the missing number if the following
subtraction is in base six
4 5 2
* * *
254
Answers
Simplify the following expression:
–10x – 9x + 1
Answers
Answer: -19x +1
Step-by-step explanation: Do -10x -9x which is -19x and you have 1 which is unlike terms .So your final answer is -19x +1 .
WILL GIBE BRAINLIEST ASAP
Answers
Answer:
A and D have whole grid squares that are the same size and aren't over lapping
C has overlapping grid squares making it hard to count
B can't be used to find area because some of the grid squares are different sizes
You still could use B because four of the smaller squares seems to be equivalent to one of the larger squares
Step-by-step explanation:
Answer:
the guy up there is right
Step-by-step explanation:
x = 5 what is 6x equal
Answers
Answer:
6 x 5= 30
Step-by-step explanation:
6(5)=30
Explain the different ways you can name an angle. What are the different names for this angle?
Answers
Step-by-step explanation:
Hi,
This is an acute angle.
RST, STR, and TRS are the three different ways to represent/name this angle.
I hope this helps :)
Find the common difference of the arithmetic sequence -19, -16, -13, ...
Answers
Answer:
d= +3
Step-by-step explanation:
1st term = -19
2nd term = -16
d = 2nd - 1st
d= -16-(-19)
d = +3
Chuck put new wallpaper in his bathroom. The pattern of the wallpaper
used 3 triangles to make a straight angle. The measures of the angles
are (9x - 72). (73x + ) and 11) What is the measure of the
obtuse angle? 7.3.5
ext
Tota
Answers
Answer:
x = 2.93
Step-by-step explanation:
The sum of angles of the triangle is 180degrees, hence;
9x - 72 + 73x + 11 = 180
82x - 61 = 180
82x = 180 + 61
82x = 241
Divide both sides by 82
82x/82 = 241/82
x = 2.93
Note that the functions might not be accurate but the same methos should be employed for any function given
Question 5 (1 point)
Solve the inequality for x.
- 3x + 6 < 15
Ox>-3
Ox<-3
0x<-7
Ox>-7
Answers
Answer:
x > -3
Step-by-step explanation:
-3x + 6 < 15
-3x < 15 - 6
-3x < 9
-x < 3
x > -3
A. x > -3
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
−3x + 6 − 6 < 15 − 6
−3x < 9
Step 2: Divide both sides by -3.
−3x/−3 < 9/−3
x > −3
Gross income: $408.68
Deductions: $98.98
Net income: $_
Answers
Answer: $507.66
Step-by-step explanation:
408.68 + 98.98 = 507.66
<4and <5 are alternate interior angles. Find the measure of <5
Answers
Answer:
115 degrees
Step-by-step explanation:
Since <4and <5 are alternate interior angles, this means that they are equal because alternate interior angles of a geometry are equal. Hence since
<4 = 115 degrees, <5 is also equal to 115 degrees
plz help will give crown
Answers
Answer:
C
Step-by-step explanation:
Can I have crown
NO LINKS
Mark wants to put a circular pool in his backyard. The pool has an area of 379.94 square feet. If his backyard is 10 x 15 feet, will the pool fit? Use 3.14 for pi
Answers
Answer:
no, the backyard is only 150 square ft. so a pool with an area of 379.94 square ft will not fit
Step-by-step explanation:
10×15=150
A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08
Answers
Answer:
48(c)
Step-by-step explanation:
4.8=48 as move 10 will change 4.8 as 48Tomato juice is sold in a case with 8 cans. Complete the table to show the relationship between the number of cases and the number of cans .
Answers
Step-by-step explanation:
1 case- 8 cans
If you have 32 cans and you know that 1 case can have 8 cans you do this:
32:8=4 cases
Then if you have 10 cases in each you get 8 cans so it equals:
10*8=80cans
And last:
You have 96 cans and again you know that one case can contain 8 cans so it is:
96:8=12 cases
When you write that:
1. answer: 8
2.answer:4
3.answer:80
4.answer:12
Question
The value of y varies directly as the cube of u and y = 54 when I = 3. Find the equation that represents this relationship.
Answers
Answer:
2x^3
Step-by-step explanation:
The equation that represents this relationship will be y = 2u³.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The value of y varies directly as the cube of u. y = 54 when u = 3.
y ∝ u³
Removed the proportionality constant and place the equal sign with constant k.
y = ku³
Put y = 54 when u = 3, then the value of k will be
54 = k (3)³
54 = 27k
k = 2
Then the equation that represents this relationship will be
y = 2u³
The equation that represents this relationship will be y = 2u³.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
-6(2p + 1) = -7p - 31
Answers
Answer:
P=5
Step-by-step explanation:
-6(2p + 1) = -7p - 31
Expand -6(2p+1)
Apply distributive law;
a=-6, b=2p, c=1
=-6*2p+(-6)*1
=-6*2p-6*1
Simplify; -6*2p-6*1
=-12p-6
-12p-6=-7p-31
Add 6 to both sides;
-12p-6+6=-7p-31+6
simplify;
-12p=-7p-25
Add 7p to both sides;
-12p+7p=-7p-25+7p
Simplify;
-5p=-25
Divide both sides by -5
-5p/-5=-25/-5
Simplify:
p=5
Answered by the One and Only #DrippQueenMo
Answer:
p=5
Step-by-step explanation:
first you want to get rid of the parentheses in -6(2p+1) so take -6 and times it by 2p and 1 to get -12p-6. You can do this because of the distributive property. Now you have the equation -12p - 6 = -7p - 31. So now you want to get the p values on one side. Adding 7p to both sides of the equations get rid of the -7p. -12p + 7p equals -5p so now you have the equation -5p - 6 = -31. so now you need to get the whole numbers on one side. So add 6 to both sides so you can get rid of the -6. this leaves you with the equation -5p= -25. Now to find the value of p you divide both sides by -5. This gives you p = 5.
Find the area and the circumference of a circle with radius 5m Use the value 3.14 for n, and do not round your answers.
Answers
Answer:
78.54
Step-by-step explanation:
An amusement park has 16 attractions, including 6 rides.
What is the probability that a randomly selected attraction at this amusement park will be a ride?
Answers
The probability it will be a ride = total number of rides / total attractions.
Probability = 6/16
Probability = 3/8
Answer:
Solution :-Probability is defined as the favourable outcomes divided by total outcomes
Probability = Favourable Outcome/Total outcomes
Probability = 6/16
Probability = 3/8
[tex] \\ [/tex]
Answer choices are
A.) x= 2 and x = -3
B.) x = 3 and x = 4
C.) -2 and x = -1
D.) -2 and x = 1
Answers
Please help ! Please help! I will heart you !
Answers
Answer:
x = 65
Step-by-step explanation:
x + 115 = 180
x = 65
Answer:
65 degrees
Step-by-step explanation:
180-115=65 degrees
The line that 115 degrees is on is equal to 180.
Paula runs a stable. 20 horses currently board at the stable, and 8 of them are bay.
What is the probability that a randomly chosen horse will be bay?
Write your answer as a fraction or whole number.
p ( bay ) = ?
Answers
Answer:
40% chance
Step-by-step explanation:
Take the number of horses total and divide the number of bay horses.
4. Dominick sent the following number of text messages each day over the last week:
SUN
MON
TUES
WED
THURS
FRI
SAT
64
58
63
51
60
61
70
What is the mean absolute deviation?
Explain what the mean absolute deviation represents in the situation:
Answers
Identify the relationship of each angle pairs. Choose your answer from the choices given.
Answers
Answer:
scheu7rggi6rewhjvzdeguij
