Answer:
Step-by-step explanation:
From the given information:
(a)
Since growth quantity is not continuous
[tex]Q(t) = 150 (1.07)^t[/tex]
For t = 10
[tex]Q(10) = 150 (1.07)^{10}[/tex]
[tex]\mathbf{Q(10) = 295.073}[/tex]
(b)
Here, for a continuous growth rate, the growth quantity can be computed in terms of initial quantity and the growth rate.
i.e.
[tex]Q(t) = 150 e^{0.07t}[/tex]
At t = 10 for a continuous growth rate;
[tex]Q(10) = 150 e^{0.07 \times 10}[/tex]
[tex]Q(10) = 150 e^{0.7}[/tex]
[tex]\mathbf{Q(10) = 302.063}[/tex]
Suppose that mean retail price per gallon of regular grade gasoline is 3.53 with a standard deviation of and that the retail price per gallon has a bell-shaped distribution. NOTE: Please use empirical rule approximations for this problem. a. What percentage of regular grade gasoline sells for between and per gallon (to decimal)
Answer:
Incomplete question, but I gave a guide to solve using the Empirical Rule.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
It is also important to note that the normal distribution is symmetric. This means of the 68% of the measures are within 1 standard deviation of the mean, for example, 68/2 = 34% are between 1 standard deviation below the mean and the mean, and 34% are between the mean and 1 standard deviation above the mean.
In this question:
You take the mean and the standard deviation. Then you take both bounds that the percentage asks, and see how many standard deviations each are from the mean, and you then use the empirical rule to solve.
Graph the line with slope -2/3 passing through the point (-5, -1)
Answer:
The graphed line is in the screenshot below:
Which is a true statement about the transformation shown?
Answer:
B is the answer
Step-by-step explanation:
The transformation is a reflection across the y axis and you can see that they are congruent because the points are exact mirrored images.
Solve for the value of z.
Answer:
13°
Step-by-step explanation:
2z + 5° + 5z - 6° = 90° { being complementary angles }
7z = 90° + 1°
7z = 91°
z = 91° / 7
z = 13°
Hope it will help :)
Answer:
2z+5+5z-6=90(right angle)
7z=90+1
z=91/7=13 is your answer
how do you write 52 as a power of 6
Answer:
52^6 , there u go hopw this helps ask me anything u want im always here to help
Answer:
52^6
Step-by-step explanation:
solve the equation x- 1/4 = 3/8
Answer:
x = 5/8
Step-by-step explanation:
x - 1/4 = 3/8
Add 1/4 to both sides.
x - 1/4 + 1/4 = 3/8 + 1/4
x = 3/8 + 2/8
x = 5/8
Answer:
5/8
To tell you the truth I use a calculator app
which rectangle has an area of 36 square units
Answer:
this sounds like a multipel choice, but you don't have any choices listed here
Step-by-step explanation:
Answer:
option 2 just took it
Step-by-step explanation:
Write the equation of the line perpendicular to the given line that contains P.
P(-6, -3) y=x-1
Answer:
y= -x-9 because you have to find the negative reciprocal of the slope of the original line and then use the point slope formula y-y1=m(x-x1) to find the perpendicular line
What is the length of the line segment below?
(107)
(3.1
what did the teenage yardstick say to its parents
Answer:
I want to stand on my own three feet
Step-by-step explanation:
Write the equation in slope intercept form given the following
Answer:
the first answer is: y=2x the second answer is y=2x+10
Step-by-step explanation:
A jar contains 38 red marbles numbered 1 to 38 and 38 blue marbles numbered 1 to 38 a marble is drawn at random from the jar
Answer:
[tex]P(Red) = 0.50[/tex]'
[tex]P(Odd) = 0.50\\[/tex]
Step-by-step explanation:
Given
[tex]Red = 38[/tex]
[tex]Blue = 38[/tex]
Required (Missing part of the question)
(a) The marble is red. (b) The marble is odd-numbered
Solving (a): Probability of Red.
This is calculated as:
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{38}{38+38}[/tex]
[tex]P(Red) = \frac{38}{76}[/tex]
[tex]P(Red) = 0.50[/tex]
Solving (b): Probability of Odd
Since each marble type is numbered 1 to 38, then half of it are odd.
i.e. 19 odd numbered red marbles and 19 odd numbered blue marbles.
So, the probability of odd is:
[tex]P(Odd) = \frac{Odd}{Total}[/tex]
[tex]P(Odd) = \frac{19+19}{38+38}[/tex]
[tex]P(Odd) = \frac{38}{76}[/tex]
[tex]P(Odd) = 0.50\\[/tex]
Slope is 0, y-intercept is 5
Answer:
Step-by-step explanation:
This is what the graph would look like with the y intercept and the slope (p.s. I used Desmos Graphing calculator)
It is on the photo please answer fast really need help
Answer:
The GCF is 3x.
The factored form is 3x(2x²+3x+4)
Chick-fil-a found out their most popular items in their combo meals . They found that the Original Chicken Sandwich was ordered 65% of the time, and the grilled was ordered 20% of the time, the other 15% was other options. The fries were ordered 80% of the time and 20% of the time another side item was ordered. What is the probability that someone
orders an Original Chicken Sandwich?
Answer:
13/20 probability
Step-by-step explanation:
it starts out as 65/100 then you simplify to get 13/20
hope this helps btw chick fil a is the best!
Pls I need help I will mark Brainly
Answer:
(10⁰x 10¹ x 1¹⁰)< (10⁰ + 10¹x 1¹⁰)<(10⁰ + 10¹ + 1¹⁰)< (10 x 10¹)
Step-by-step explanation:
increasing order-
(10⁰x 10¹ x 1¹⁰)
(10⁰ + 10¹x 1¹⁰)
(10⁰ + 10¹ + 1¹⁰)
(10 x 10¹)
Imagine that you are representing your classmates. What are their needs? What would you advocate for their behalf? Not math related
Answer:
As a former runner upper Senior Class Secretary I can say that your classmates need the following:
1. To be respected, even when others may not respect them.
2. They need a leader who can listen to what they have to say and DO SOMETHING about it.
3. They need the feeling of commitment when given the oppurtunity to improve.
4. They need rules, guidlines and restrictions.
(I would advocate that we have a strong leader....Is it going to be you?)
Identify a set of parallel and a set of perpendicular lines in this image
Answer:
GHJKL
Step-by-step explanation:
VBNM,
If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm
Answer:
0.0221 cm/min
Step-by-step explanation:
Surface area of a snowball:
An snowball has a spherical format.
The surface area of an sphere is given by:
[tex]A = 4\pi r^2[/tex]
In which r is the radius(half the diameter). So in function of the diameter, we have that:
[tex]A = 4\pi (\frac{d}{2})^2 = \pi d^2[/tex]
Implicit derivative:
To solve this question, we need to find the implicit derivative of A in function of t.
The variables are A and d, so:
[tex]\frac{dA}{dt} = 8\pi d \frac{dd}{dt}[/tex]
Its surface area decreases at a rate of 5 cm2/min
This means that [tex]\frac{dA}{dt} = -5[/tex]
Find the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm
This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 9[/tex]. So
[tex]\frac{dA}{dt} = 8\pi d \frac{dd}{dt}[/tex]
[tex]-5 = 8\pi*9 \frac{dd}{dt}[/tex]
[tex]\frac{dd}{dt} = -\frac{5}{72\pi}[/tex]
[tex]\frac{dd}{dt} = -0.0221[/tex]
This means that the diameter decreases at a rate of 0.0221 cm/min when the diameter is 9 cm.
2. A line that intersects two or more
lines is called a??
Answer:
Transversal
Step-by-step explanation:
by defination this is a line that intersects other lines
18. Jackie drives 160 miles from Gary, Indiana to
Indianapolis, Indiana in 4.5 hours. At that rate,
how long would it take her to drive from Gary to
Detroit, Michigan, which is a distance of 240
miles?
Answer:
11 hours and 15 minutes (11.25)
Step-by-step explanation:
make a ratio
160:4.5
240/160=1.5
so 1 and 1/2 intervals of 4.5 hours
4.5+4.5= 9
4.5/2=2.25
9+2.25=11.25
The solution is 3.75 hours
The time taken by Jackie to drive a distance of 240 miles is given by the equation A = 3.75 hours
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the equation be represented as A
Now , the value of A is
Jackie drives 160 miles from Gary, Indiana to Indianapolis, Indiana in 2.5 hours
Distance = 160 miles
Time = 2.5 hours
So , the speed = distance / time
Substituting the values in the equation , we get
Speed = 160 / 2.5
Speed = 64 miles / hour
Now , the new distance = 240 miles
So , the Time required = Distance / Speed
Substituting the values in the equation , we get
Time required A = 240 / 64
Time required A = 3.75 hours
Therefore , the value of A is 3.75 hours
Hence , the time taken with a speed of 64 mph is 3.75 hours
To learn more about speed click :
https://brainly.com/question/22228723
#SPJ2
Madeline is saving up to buy a new jacket. She already has $65 and can save an
additional $5 per week using money from her after school job. How much total
money would Madeline have after 5 weeks of saving? Also, write an expression that
represents the amount of money Madeline would have saved in w weeks.
Savings after 5 weeks:
Savings after w weeks:
Submit Answer
attempt 1 out of 2
Answer:
$90
Step-by-step explanation:
Answer:
90
solve after w weeks
65+5w
Step-by-step explanation:
Graph y = -3x + 7.
2
Answer:
I love math anyways
The ans is in the picture
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Last year at Sarah's bakery she sold 38 birthday cakes for $57 per cake . She spent 1/2 of that money on ingredients for baking the cakes . How much money did she spend on ingredients for the cakes ?
Answer:
They are right
Step-by-step explanation:
Because
They
Are !!
What is tan A?
Tan A =
Answer:
5/12
Step-by-step explanation:
tan is opposite/adjacent
the opposite of a is 5 and the adjacent of a is 12
A digital music
2. service sells 12 songs
for $9.96. At this rate,
how many songs
can you purchase
for $4.15?
Answer:
You can buy 5 songs.
Step-by-step explanation:
First, you would divide 9 by 12 which is 0.83, assuming that each song costs 0.83 by itself you would just add 0.83 + 0.83 until you reach 4.15, the amount of times you added is the answer, which is 5 lolz
Factor the polynomial as much as possible 25x^4-16y^14
Answer:
(4y7+5x2)(−4y7+5x2)
Step-by-step explanation:
2x + 8y=30 y=2 solve for x
Answer:
23
Step-by-step explanation:
2x+ 8(2)= 30
2x+ 16=30
2x=14
x=7
the longest side of a triangle is 10 cm which group of the line segments could form the other two sides of the triangle
5 cm and 5 cm
7 cm and 8 cm
9 cm and 10 cm
4 cm and 4cm
Answer:
7 cm and 8 c
Step-by-step explanation:
7 cm and 8 cm. Why? Because both are shorter than the longest side (10 cm) but add up to more than 10 cm.
Ignore the bottom but can someone help me and give me the right answer please also put how you got the answer so show your work please!!!!
Answer:
4x-15
Step-by-step explanation:
5(x-3)-x
first we want to distribute 5 to x and -3
5xx=5x 5x-3=-15
now we have
5x-15 - x
then we just have to combine like terms and the only alike terms are 5x and -x
5x-x=4x
so the answer is 4x-15
Answer:
5x-15-x
4x-15is your answer