Answer:
hey there guys ^^
Step-by-step explanation:
Question 3 (2 points)
(04.07)
Two separate bacteria populations grow each month and are represented by the functions fx) = 3* and g(x) = 7x + 6. In what month is the f(x)
population greater than the g(x) population? (2 points)
Complete question is;
Two separate bacteria populations grow each month and are represented by the functions f(x) = 3^(x) and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population?
A. Month 1
B. Month 2
C. Month 3.
D. Month 4
Answer:
Option D: Month 4
Step-by-step explanation:
We are given the functions;
f(x) = 3^(x)
And g(x) = 7x + 6
We want to find the month when f(x) > g(x)
Thus;
3^(x) > 7x + 6
For option A, month 1 means x = 1.thus;
LHS is 3¹ = 3
RHS = 7(1) + 6 = 13
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option B, month 2 means x = 2. thus;
LHS is 3² = 9
RHS = 7(2) + 6 = 20
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option C, month 3 means x = 3. thus;
LHS is 3³ = 27
RHS = 7(3) + 6 = 27
Our LHS IS equal to the RHS and not greater than RHS as the question demands, thus this option is not correct
For option D, month 4 means x = 4. thus;
LHS is 3⁴ = 81
RHS = 7(4) + 6 = 34
Our LHS is greater than RHS as the question demands, thus this option is correct
Paul leaves £4000 in the bank for two years. It earns compound interest of 5% per year. Calculate the totals amount Paul has in the bank at the end of the two years
Answer:
£4410
Step-by-step explanation:
Step one:
given data
Principal P= £4000
Rate= 5%= 0.05
time t= 2 years
Final amount A= ??
Required
The final amount
Step two:
The expression for the final amount of compound interest is
[tex]A= P(1+r)^t\\\\A=4000(1+0.05)^2\\\\A=4000(1.05)^2\\\\A=4000*1.1025[/tex]
A=£4410
The fence around a circular garden is 18 feet long. What is the area of the garden to the nearest square foot? Use 3.14 for pi.
____square feet
Answer:
26
Show Your Work:
Answer:
26 sq.ft.
Step-by-step explanation:
i did the diagnostic
JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH?
Answer:
26
Step-by-step explanation:
45-7=38,
38/2= 19,
19+7=26
HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ
hope it will help you.........
Answer:
UV=UZ+ZV
Step-by-step explanation:
UV=3y-5+2z+2
=3y+2y-3
but UV =27=3y+2y-3
30 =3y+2y
bisect means cut in to two equal parts so
3x+3=3y+6
3x-3y=6-3
3x-3y=3
then combine the two equation
30 =3y+2y this is 30=5y which is y=6
3 = 3x-3y so enter y=6 into this equation
3=3x-3*6
3=3x-18
3x=21
x=7
Please help 30 points
The number of lattes sold daily by two coffee shops is shown in the table.
Shop A Shop B
55 45
52 42
56 57
48 48
57 11
30 10
45 46
41 43
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both coffee shops because the data distribution is symmetric
Median for both coffee shops because the data distribution is not symmetric
Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric
Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Answer: correct option is mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Step-by-step explanation:
According to the given data the correct statement is Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.
Note that the two values of Shop B (10 and 11) are alot lower than the other values.
Thus the correct option is Mean for shop A and Median for shop B.
Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search
Complete question :
Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search
What is the probability that she draws a green ball and a tile numbered with 4?
Answer:
1 / 10
Step-by-step explanation:
Given:
Bag content :
Green balls = 4
Yellow balls = 4
Probability = required outcome / Total possible outcomes
P(drawing a green ball) = 4 / 8 = 1/2
Total number of tiles = 5
P(drawing tile numbered 4) = (number of tiles numbered 4 / total number of tiles) = 1 / 5
P(drawing a green ball) * P(drawing tile numbered 4)
= 1 / 2 * 1 /5
= 1 / 10
3.
If the volume of cylinder of height 7 cm is 448 cm², then the total surface area of cylinder is
(1) 2041 cm?
(2) 2241 cm?
(3) 2481 cm?
(4) 240 cm?
Answer:
A = 240π cm²
Step-by-step explanation:
Given that,
Height of a cylinder, h = 7 cm
Volume of the cylinder, V = 448π cm³
We need to find the total surface area of the cylinder.
The formula for the volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]
The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]
So, the total surface area of the cylinder is 240π cm².
plz help i dont want to fail plzzzzzz
Answer:
c= 7 p=4
Step-by-step explanation:
3p + 4c = $40
therefore
15p + 20c = 200
5p + 2c = 34
therefore
15p + 6c = 102
14c = 98
98/14=7
c = 7
5p + 2(7) = 34
5p + 14 = 34
- 14 - 14
5p = 2020/5= 4
p = 4
Someone plz help me T^T
PLEASE HELP!!!!!!!
Points A and C are vertices of a cube with a side length of 2 cm, and B is the point of the intersection of the diagonals of one face of the cube, as shown below.
Determine the length of CB.
9514 1404 393
Answer:
CB = √6 cm
Step-by-step explanation:
The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.
Then the length CB is given by the Pythagorean theorem as ...
CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm
CB = √6 cm
What is the first step to solve this equation?
2x + 3 = 13
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
2
x
=
16
Divide each term by
2
and simplify.
Tap for fewer steps...
Divide each term in
2
x
=
16
by
2
.
2
x
2
=
16
2
Cancel the common factor of
2
.
Tap for more steps...
x
=
16
2
Divide
16
by
2
.
x
=
8
Answer:
move the constant to the right 2x=13-3 subtract 2x =10 divided both sides by 2 x=5
2x – 5 = 7 to 2x = 12 What property of equality was used?
Property of Addition and division.
h + 13.4 = -13.4
h = ?
-2•f(-6)-7•g(-7) help
Answer:
11
Step-by-step explanation:
-2 • f(-6) -7 • g(-7) = ?
As per graph:
f(-6) = 5
g(-7) = -3
Calculation:
-2 • f(-6) -7 • g(-7) =
-2(5) - 7(-3) =
-10 + 21 =
11
Write an equation that represents a vertical shrink by a factor of 1/4 of the graph of g(x)=|x|
Marie works in a garment factory that makes shirts. Marie’s job is sewing in sleeves. Marie receives .55 for each pair of sleeves she completes. During this pay period, she completed 1, 632 pairs of sleeves. What were Marie’s gross earnings?
Answer:
879.6
Step-by-step explanation:
I had a similar question that I solved which helped me here.
7w + 3 + 2w + 9 simplified
The answer is 9w + 12
hope this helps!
Answer:
9w + 12
Step-by-step explanation:
First, add the 7w and the 2w
7w + 2w = 9w
Second, add 3 and 9
3 + 9 = 12
Last, add the two together
9w + 12 =
Hope this helps!
5. Rebecca bought candy boxes in the shape of a square pyramid to use for party favors. The side length of each box is 3.6 inches, and the height is 4 inches. Rebecca wants to fill each box with 20 pieces of candy. If each piece of candy is 0.8 in.³, will Rebecca be able to fit 20 pieces of candy into each candy box?
Answer:17.28 and yes
Step-by-step explanation:because I did it in school and I don’t remember how to do it
can you solve for x and y pls hurry ...
Answer:
x=50 y=25
Step-by-step explanation:
brainliest pls
PLEASE HELP I NEED TO RAISE MY GRADE PLEASE
Answer:
AC, AB. BC
Step-by-step explanation:
PLEASE HELP THE ANSWER HAS TO BE A INTEGER OR A DECIMAL.
Answer:
It's the same as the last one. The answer is -2.3
Step-by-step explanation:
Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°
Answer:
A and C
Step-by-step explanation:
A) 160 + 20 = 180
B) 120 + 40 = 160
C) 45 + 135 = 180
D) 30 + 120 = 150
All supplementary angles must add up to 180 degrees.
Rewrite 18m - ( 2 + 3m ) without parentheses.
Answer:
15m−2
Step-by-step explanation:
Distribute the Negative Sign:
=18m + −1(2 + 3m)
=18m + (−1)(2) + −1(3m)
=18m + −2 + −3m
Combine Like Terms:
=18m + −2 + −3m
=(18m + −3m) + (−2)
=15m + −2
Can someone help me out
Answer:
C.
Step-by-step explanation:
3 1/4 - 4 1/2 show your work
If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.
Simplify the expression. Explain each step.
6(2b)
Answer:12b
Step-by-step explanation:
Here,
We have only one variable
So we can multiply it with number
=6×2b
=12b
Hope it helps you
Plz mark me brainliest.
f(x)=3x-5 please help :>
Answer:
x= 5/3?????
Step-by-step explanation:
try using math
way
Which fraction and decimal forms math the long division problem
Answer:
4/15 and 0.26
Step-by-step explanation:
Here, we want to write the fraction and decimal that matches the division problem
The division problem is simply 4/15 in fraction
In decimal, this is 0.2667
Need help with this?
Answer:
Half of the possible choices as far as I know are not shown in the picture but your answer should be the graph that is 5 units down than the center of the graph.