Find the logarithmic model.
Use the data in the given table to fill in the missing coefficients. Round your answers to 3 decimal places.
Answers
Related Questions
Lacey and Rita are adding books to their class libraries. Lacey’s classroom started out with 14 books and she plans to but 2 more books per week. Rita started out with 22 books, and she has enough money in her budget to purchase one book per week. At some point, the teacher’s will have the same amount of books. Which week will have the same number of books and how many books will each class have?
Answers
Answer:
in 8 weeks they will each have 30 books
Step-by-step explanation:
Lacey: y = 2x + 14
Rita: y = x + 22
y = # weeks
x = # books
set equations equal to each other:
2x + 14 = x + 22
x + 14 = 22
x = 8
solve for 'y':
y = 8 + 22
y = 30
A tree is 18 feet tall and casts a shadow 12 feet long. A building nearby casts a shadow that measures 22 feet long. How tall is the building?
Answers
9514 1404 393
Answer:
33 ft
Step-by-step explanation:
The object is 18/12 = 3/2 times as tall as the shadow it casts.
The building is 3/2 times as tall as its shadow:
(3/2)(22 ft) = 33 ft
The building is 33 ft tall.
Answer:
the answer is 33 feet
Step-by-step explanation:
:))
1. Noah has $15,000 to invest. He invests some amount at 5% annual interest and the rest at 3% annual
interest. After one year, his total interest from both accounts is $620.
How much did he invest in each account? (Clearly label which amount is for which account in your
answer. Hint: Over a one year period, annual interest is the same as simple interest.)
[6 pts]
Answers
Answer:
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Step-by-step explanation:
Let the sum invested at interest rate of 5% be X
Let the sum invested at interest rate of 3% be Y
As we know
[tex]X + Y = 15000[/tex] - Eq (1)
[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]
[tex]5X + 3Y = 62000[/tex] ---Eq (2)
Multiplying Eq (1) by 3 we get -
[tex]3X + 3Y = 45000[/tex]
Substract Eq (1) from Eq (2) we get
[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Pls help extra points and mark brainlist

Answers
Answer:
(3,2)
Step-by-step explanation:
...................
What is the area of the triangle?
Answers
1/2 x 4 x 3 = 6 units squared
Two lines, C and D, are represented by the equations given below:
Line C: y = x + 14
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why? (5 points)
a
(6, 20), because both lines pass through this point
b
(6, 20), because the point does not lie on any axis
c
(3, 11), because one of the lines passes through this point
d
(3, 11), because the point lies between the two axes
Answers
Answer:
The answer is c
Step-by-step explanation:
In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.
Answers
No. of Teachers joined = 10
Step-by-step explanation:
i)Initial School population,
given 15 units = 1200
1 unit =
[tex]1200 \div 15 \\ = 80[/tex]
Number of teachers (initial) = 1 unit = 80.
ii)take j = number of teachers joining the school.
New teacher population = 80+j
[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]
Can someone PLEASE HELP FOR 15 POINTS!
(Classify each pair of angles listed below as adjacent or vertical)
Answers
The art club had an election to select a president. 10% of the 10 members of the club voted in the election. How many members voted?
Answers
Answer:
1
Step-by-step explanation:
10 percentage of 10 is 1
Shenelle has 100 meters of fencing to build a retangular Garden. The garden's area as a función of the garden's widrh X is modeled By A(x)= -(x-25)+625
Answers
Answer:
625 metres
Step-by-step explanation:
Given the area function expressed as a(w)=-(w-25)^2+625.
The maximum area occurs at when da/dw = 0
da/dw = -2(w-25)
0 = -2(w-25)
-2(w-25) = 0
w - 25 = 0
w = 25
Substitute w = 25 into the modeled equation;
Recall a(w)=-(w-25)^2+625.
a(25)=-(25-25)^2+625
a(25) = 0+625
a(25) = 625
Hence the maximum area possible is 625 metres
Need answer asap, will give brainliest.
Answers
The solution is the point where the lines cross. So (-1, -2)
[1 6 9 3]
[2 5 8 1]
[0 2 2 4]
what are the dimensions of the matrix
Answers
Answer:
4 by 3
Explanation:
Rows by columns
PLEASE HELP ME ANYONE :(
Answers
Answer
B
Step-by-step explanation:
5*5*6=150
Answer:
150
Step-by-step explanation:
A father is questioning the probability his daughter will receive a scholarship. She is a finalist for two different scholarships. The awarding of these scholarships is independent. For the first scholarship (Scholarship A) there are 5 finalists and two scholarships will be awarded. For the second scholarship (Scholarship B) there are also five finalists and one scholarship will be awarded.
1. What is the probability that she will receive Scholarship A and Scholarship B?
2. What is the probability that she will receive at least one scholarship, Scholarship A or Scholarship B?
3. Should she apply for both scholarships or one of the scholarships? If just one, which one? Why?
Answers
Solution :
According to the question, let
A : winning first scholarship
B : winning second scholarship
So for the first scholarship, there are five finalist and only two scholarship will be awarded. And for the second scholarship there are five finalist and only one scholarship will be awarded.
Therefore,
[tex]$P(A)=\frac{2}{5}$[/tex] and [tex]$P(B)=\frac{1}{5}$[/tex]
1. So, [tex]$P(A \cap B ) = P(A) P(B)$[/tex]
[tex]$=\frac{2}{5} \times \frac{1}{5}$[/tex]
[tex]$=\frac{2}{25}$[/tex]
2. [tex]$P(A \cup B) = P(A)+P(B)-P(A)P(B)$[/tex]
[tex]$=\frac{2}{5}+\frac{1}{5}-\frac{2}{25}$[/tex]
[tex]$=\frac{13}{25}$[/tex]
3. She should apply to both the scholarships, so as to have a maximum chances of winning at least one scholarship.
Estimate the area of the circle. Use 7/22 for π
Answers
Answer:
Area = pi * r^2
r is half of the diameter
Area = pi * 14^2
Area = 196 pi
196 * 3.14
Area is approximately 615.44 cm^2
PLEASE HELP ME!!!
No links ,answers only!!!
Answers
Answer:
[tex]f(-4) = 64[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (2,1)[/tex]
Required
Find f(-4)
We have that:
[tex]y = ab^x[/tex]
For [tex](x_1,y_1) = (1,2)[/tex]
[tex]2 = ab^1[/tex]
[tex]2 = ab[/tex]
For [tex](x_2,y_2) = (2,1)[/tex]
[tex]1 = ab^2[/tex]
Rewrite as:
[tex]1 = ab * b[/tex]
Make b the subject
[tex]b = \frac{1}{ab}[/tex]
Substitute: [tex]2 = ab[/tex]
[tex]b = \frac{1}{2}[/tex]
Substitute [tex]b = \frac{1}{2}[/tex] in [tex]2 = ab[/tex]
[tex]2 = a * \frac{1}{2}[/tex]
[tex]a = 2 * 2[/tex]
[tex]a = 4[/tex]
To calculate f(-4), we have:
[tex]f(x) = ab^x[/tex]
[tex]f(-4) = 4 * \frac{1}{2}^{(-4)}[/tex]
[tex]f(-4) = 4 * 16[/tex]
[tex]f(-4) = 64[/tex]
two numbers add up to 144. one number is half the square of the other number. what are the numbers
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Related questions
Circle the like terms in each expression. Then identify the coefficients of the like terms. -x^2y + (-xy) + 2xy + (-2xy^2 ) 7 + 7c + 3 + 7c^3 + (-4)
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
Part A: How can I write algebraic expression for 4 more than 3 times a number. (5 points) Part B: How can I write verbal expression for 2(n + 9). (5
ATTENTION - IN ALL THE QUESTIONS N=18 PLEASE MAKE SURE TO USE N=18 IN EVERY QUESTION In the problems #1a,b simplify the expressions and prese
Answers
Answer:
36 plus 36 plus 72 = 144 or 72 + 72= 144
i will award brainliest HELPP
Answers
Answer:
D
Step-by-step explanation:
Write your answer using integers, proper fractions, and improper fractions in the simplest form
PLEASE HELP
Answers
Answer:
y = 1/4 x - 7/2
Step-by-step explanation:
x - 4y = 14
-4y = -x + 14
y = -x/(-4) - 14/4
y = 1/4 x - 7/2
which one of yu geniuses can answer this question ???
Answers
Answer:
B. 20
Step-by-step explanation:
x + 40 = 3x
x - x + 40 = 3x - x
40 = 2x
20 = x
The radius of a circle is 13 cm. Find its circumference in terms of pie.
Answers
Answer:
26 pi
Step-by-step explanation:
Answer:
531
Step-by-step explanation:
first the formula for finding the circumference of a circle is πr2
where π = 22/7
r = 13x13
hence, circumference = πr2
= 22/7 x 13 x 13
= 22/7 × 169
= 22 x 169/7
= 3718/7
= 531 cm
tour busload of 45 people attended two Florida theme parks on successive days. On Day 1 the entrance fee was $15 per adult, $8 per child, $12 per senior citizen and the total charge was $558. On Day 2 the entrance fee was $20 per adult, $12 per child, $17 per senior citizen and the total charge was $771. How many adults, children, and senior citizens were on this tour bus
Answers
Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.
Step-by-step explanation:
Let adult = x
children = y
senior citizen = z
Given : Total busload (x+ y + z) = 45
Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]
Total charge on day 2 = 771 $ = [tex]20\times x+12\times y+17\times z[/tex]
Now we have 3 equations : x+ y+z =45
[tex]15\times x+8\times y+12\times z=558[/tex]
[tex]20\times x+12\times y+17\times z=771[/tex]
Solving for them we get: x= 22 , y = 12 and z= 11
Thus there are 22 adults , 12 children and 11 senior citizens.
The area of a rectangular wall of a barn is 54 feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.
Answers
Answer:the width is 3 feet
Step-by-step explanation:
Pls help me , I ll give u the brainliest
Answers
Answer: 3.4 miles per day
Step-by-step explanation:
Add all together then divide by total number of people...
(0x2)+(1x1)+(3x4)+(4x2)+(5x3)+(6x2)=
0+1+12+8+15+12=48
48 total miles walked 14 people walked
48/14=3.42 average
rounded to nearest tenth...
3.4 miles per day
Z - ( -7 ) < 5 it’s solving inequalities. Help. Also 8(3g - 2) <= 12(2g + 1) pls ;-;
Answers
Answer:
z < -2
g is indeterminate
Step-by-step explanation:
For the inequality Z - ( -7 ) < 5
open the parenthesis
z+7 < 5
Subtract 7 from both sides
z+7-7 < 5-7
z < -2
For 8(3g - 2) <= 12(2g + 1)
Expand
24g -16 ≤ 24g + 12
24g - 24g ≤ 12+18
0g≤ 28
g ≤ 28/0
Hence g is indeterminate
g Sardar has two old rich aunts, Betty and Gwenda. Assume they will both die before he does. For each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3. But Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4. What is the probability that he will inherit at least some money by the time they both die
Answers
Answer:
Sardar has a 29% chance of inheriting at least some money.
Step-by-step explanation:
Since Sardar has two old rich aunts, Betty and Gwenda, assuming they will both die before he does, for each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3, but Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4, to determine what is the probability that he will inherit at least some money by the time they both die the following calculation must be performed:
(1/3 + 1/4) / 2 = X
(0.333 + 0.25) / 2 = X
0.58333 / 2 = X
0.29 = X
Therefore, Sardar has a 29% chance of inheriting at least some money.
Based on the various probabilities that Sardar's aunts will leave him money when they die, the probability that he will at least inherit some money is 0.4375.
What is the probability that he will inherit at least some money?This can be found by the formula:
= Probability that Gwenda leaves money + Probability that Betty leaves money - Probability that both leave money
Solving gives:
= 1/4 + 1/4 - (1 / 4 x 1 / 4 )
= 1/2 - 1/16
= 0.4375
Find out more on probabilities at https://brainly.com/question/24756209.
Plz someone answer I will give u points
Answers
Answer:
FL = 54°
Step-by-step explanation:
m<MNF = ½(ML + LF) (inscribed angle theorem)
7 + 8x = ½(72 + 7x + 5)
Solve for x
2(7 + 8x) = 72 + 7x + 5
14 + 16x = 72 + 7x + 5
Add like terms
14 + 16x = 77 + 7x
16x - 7x = 77 - 14
9x = 63
x = 63/9
x = 7
✅FL = 7x + 5
Plug in the value of x
FL = 7(7) + 5 = 49 + 5
FL = 54°
May you solve this for me?
Answers
Answer: 23.94 cm
Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.
I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.
Find the volume of the prism
Answers
1/2 x 5 x 2 x 3
=15
Solve for Y= 1680 + 0.72
Answers
y=1680.72