Answer:
Each hamburger patty weighs 1/4 pounds.
The drama department needs to raise at least 575.00 for a trip to see a play they have already 163.00 if they sell candybars for 1.25 each how many do they need to sell to exceed there goal
Answer:
330
Step-by-step explanation:
575 - 163 = 412
412 / 1.25 = 329.6
Since we need to exceed the goal and we can only sell whole candy bars, we round 329.6 up to 330.
Cellular phone usage grew about 22% each year from 1995 (about 34 million) to 2003. Write a function to model cellular phone usage over that time period. What is the cellular usage in 2003?
Answer:
Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:
`y = a * b^(x - h) + k`
where:
- `y` is the quantity you're interested in (cell phone usage),
- `a` is the initial quantity (34 million in 1995),
- `b` is the growth factor (1.22, representing 22% growth per year),
- `x` is the time (the year),
- `h` is the time at which the initial quantity `a` is given (1995), and
- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).
So, our specific model becomes:
`y = 34 * 1.22^(x - 1995)`
To find the cellular usage in 2003, we plug 2003 in for x:
`y = 34 * 1.22^(2003 - 1995)`
Calculating this out will give us the cellular usage in 2003.
Let's calculate this:
`y = 34 * 1.22^(2003 - 1995)`
So,
`y = 34 * 1.22^8`
Calculating the above expression gives us:
`y ≈ 97.97` million.
So, the cellular phone usage in 2003, according to this model, is approximately 98 million.
A study was done to determine the proportion of voters that feel that their local government is doing an adequate job. Of the 220 voters surveyed, 175 feel that their local government is doing an adequate job. Calculate the 95% confidence interval for the true proportion of voters that feel that their government is doing an adequate job.
Answer:
( 0.742, 0.849 )
Step-by-step explanation:
sample size = 220
number of voters with positive response ( i.e. number of voters who believe the government is doing right ) = 175
Calculate the 95% confidence interval
P = 175 / 220 = 0.796
the 95% confidence interval = ( 0.796 ± 0.054 )
attached below is the detailed solution
Look at this graph:
SY
100
90
80
70
60
50
40
30
20
10
0
10
20
30
40
50
60
70 80 90 100
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: Slope is 2/3
Step-by-step explanation:
name the quadrilateral with 2 pairs of consecutive congruent sides with diagonals that meet at a right angle
The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.
At noon, ship A is 70 km west of ship B. Ship A is sailing south at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM
Answer:
57.6 km/h
Step-by-step explanation:
We are told that At noon, ship A is 70 km west of ship B.
Thus, coordinates of initial position of A and B is;
A(0,0) and B(70,0)
Now, we are told that Ship A is sailing south at 35 km/h and ship B is sailing north at 25 km/h. Thus, the final position of ship A and B after t hours are;
A(0,-35t) and B(70,25t)
Thus, distance between the two ships at time t hours is;
d(t) = √[(70 - 0)² + (25t - (-35t))²]
d(t) = √(4900 + 3600t²)
Now, to find how fast the distance between the ships changing, let's differentiate using the chain rule;
d'(t) = [1/(2√(4900 + 3600t²))] × 7200t
d'(t) = 3600t/√(4900 + 3600t²)
d'(t) = 3600t/10√(49 + 36t²)
d'(t) = 360t/√(49 + 36t²)
Now, at 4pm,it would have been 4 hours from noon. Thus, t = 4.
So;
d'(t) = (360×4)/√(49 + 36(4²))
d'(t) = 1440/√(49 + 576)
d'(t) = 1440/√625
d'(t) = 1440/25
d'(t) = 57.6 km/h
Green Line buses run every 10 minutes. Red Line buses run every 20 minutes. Purple Line buses run every 35 minutes. One bus from each Line leaves the city centre at 09 00. After how many minutes will buses from all Lines next leave the city at the same time?
Take there LCM 2 ! 10,20,352 ! 5,10,355 ! 5,5,357 ! 1,1,7- ! 1,1,1L.C.M = 2x2x5x7 = 140So, after 140 minutes the three lines will again leave at the same time.
Answer:
140 minutes
Step-by-step explanation:
We can start by finding the LCM (least common multiple) of 10, 20, and 35. To do this, we can prime factorize (finding the prime factors of the number) all of the numbers.
10: 2, 5
20: 2, 2, 5
35: 5, 7
We can see that we need two 2s (20 has two 2s in its prime factorization), one 5 (all of them have one 5), and one 7 (35 has one 5 in its prime factorization) so that the LCM can be divisible by all of the numbers
2²*5*7=4*5*7=20*7=140
After 140 minutes the buses from all Lines will leave the city
SOLVE FOR T
t+3/2 = -2
T =
Answer:\(t= -\frac{7}{2}\)
Step-by-step explanation:
\(=t+\frac{3}{2}=-2\\=t=-2-\frac{3}{2} \\=t=-\frac{7}{2}\)
im stuck ....
What is the solution for the equation 2(3x−7)=−4(x+5)+3?
plss show work
Answer:
\(2(3x - 7) = - 4(x + 5) + 3 \\ 6x - 14 = - 4x - 20 + 3 \\ 6x + 4x = - 20 + 3 + 14 \\ 10x = - 3 \\ \\ x = \frac{ - 3}{10} \\ \\ x = - 0.3\)
I hope I helped you^_^
What is a domain in mathematics
Answer:
In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.
Which of the following is another way to label Plane J?
Select one: Plane h Plane
ABD Plane EFG Plane ADF
Check
Plane ADF is another way to label Plane J.
In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.
These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.
Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.
Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.
Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.
Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.
Therefore, Plane ADF is another way to label Plane J.
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A study found that a 95% confidence interval for the mean μ of a particular population was computed from a random sample of 1200 people and found it to be 10 ± 4. Therefore, we may conclude:_______
Answer:
95% confidence interval for the mean μ is (6,14)
The Population mean μ lies between ( 6, 14 )
Step-by-step explanation:
Explanation:-
Given random sample 'n' = 1200
95% confidence interval for the mean μ is determined by
\((x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )\)
Level of significance = 95% 0r 0.05
Z₀.₀₅ = 1.96
\((x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )\) = 10 ± 4
Mean of the small sample = 10
95% of confidence intervals are
( 10 ±4 )
( 10 -4 , 10+4)
( 6 , 14 )
95% confidence interval for the mean μ lies between ( 6, 14 )
Mario has save $200 towards the cost of buying a $1000 computer in the weeks to come he passes seven additional $30 per week create an expression that represents the amount of money Mario has saved after W weeks
Answer:
30w+200=1000
Step-by-step explanation:
Lara grows apples in her orchard and sells them at the weekly farmer's market. Each week, she sells the apples for a different price and records the number of apples sold. The scatter plict below
shows the price of one apple and the number of apples that were sold. A line of best fit for these data points, the equation y=-z+32, is also shown on the plot
Apples Number of Apples Sold
what is the difference in hours and minutes between these times 10:35 2:40
Answer:
10:35
11:35
12:35
1:35
2:35
=Thats 4 hours
and then 40-35=5
So 4hours 5 minutes
Answer:
yeah
Step-by-step explanation:
im reply cause I want to ask a questionbx
help please
triangles
Answer:
i think you have to find the value
Step-by-step explanation:
Find the present value of an annuity which pays ` 200 at the end of each 3 months for 10 years assuming
money to be worth 5% converted quarterly?
(a) ` 3473.86
(b) ` 3108.60
(c) ` 6265.38
(d) None of thes
The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.
To find the present value of an annuity, we can use the formula:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.
Plugging in these values into the formula, we get:
PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05
Simplifying the equation, we find:
PV ≈ 200 * (1 - 0.12198) / 0.05
PV ≈ 200 * 0.87802 / 0.05
PV ≈ 35160.4 / 0.05
PV ≈ 7032.08
Therefore, the present value of the annuity is approximately `7032.08.
None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.
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What is the slope for Y = -3x +7
Answer:
The slope is -3
Step-by-step explanation:
Hey there!
y=-3x+7
-3 is the slope. If you remember y=mx+b, m is the slope. In this case, it's -3.
b is the y-intercept. It is where the graph of a linear function intersects the y-axis.
In this case, b=7.
Hope it helps and good luck!
\(GraceRosalia\)
what is the equation of the line that passes through (6,4) and (4,1)
Answer:
y = 3/2*x - 5
Step-by-step explanation:
Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:
P1=(x1,y1) and P2=(x2,y2)
slope formula ---> m=(y2-y1)/(x2-x1)
Replacing the given points ---> m=(1-4)/(4-6) = 3/2
then replacing the slope value obtained:
y = 3/2*x + b
Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:
1 = 3/2*4 + b
1 = 6 + b
1 - 6 = b
-5 = b
therefore the line equation is:
y = 3/2*x - 5
Of 120 students from College of Education DIVERS State 19 read both accoch tacy and sociology to read Accountacy or Sociology but not french 27 read Sociology but not accountary or french, 53 read sociology or french but 19 read French but not AccoLLA not Accountacy tacy or Sociology an French but not sociology and and 8 read Accountay Assume that each Student reads at least one of the courses. How many students read; (1) All three courses. (11) Only one course (11) two courses (N) Accountacy irrespective of sociology or french
(1) 6 students read all three courses.
(II) 37 students read only one course.
(III) 77 students read exactly two courses.
(IV) 73 students read Accountancy irrespective of Sociology or French.
How to solveLet A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.
Let X be the number of students reading all three.
From the information given:
A ∩ S = 19
A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)
S - A - X = 27
S + F - X = 53
F - X = 19
A - X = 86 - 19 = 67
Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120
Solving, we get X = 6, A = 73, S = 52, F = 25.
(1) 6 students read all three courses.
(II) 37 students read only one course.
(III) 77 students read exactly two courses.
(IV) 73 students read Accountancy irrespective of Sociology or French.
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Select all that apply.
Graphs of parabolas can be found in:
Quadrant III
Quadrant II
Quadrant IV
Quadrant I
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
I NEED HELP ASAP PLEASEEEE THANK YOUU.
Answer each of the following questions. However, you should show all steps
to illustrate the process that you used to get your results.
1). Bill likes to walk his dog on the sidewalk that goes around the edge of the
city park. The park is a square and each side has a length of 500 feet.
Approximately, how many times does Bill need to walk around the park in
order to complete a 5-mile walk?
2). Jamie is doing some baking. He needs exactly 2 cups of sugar for his
recipe. When he looks in his utensil drawer, though, he can only find a 1-
tablespoon measuring spoon. Jamie knows that that there are 2 tablespoons
in 1 ounce and 8 ounces in 1 cup. How many tablespoons of sugar will Jamie
need for his recipe?
3)Erin is moving into a new house and has rented a moving truck to haul her belongings from the old house to the new house. During the trip from the old house to the new house, she had to cross a bridge that has a 10-ton weight limit. She knows that the moving truck has an empty weight of 12600 pounds and she knows that her belongings weigh approximately 6000 pounds. Is it safe for Erin to cross the bridge in the moving truck? Justify your answer.
4) how many liters of a fluid can be contained in a 5 gallon bucket?
1) 14 times to complete a 5-mile walk. 2) 8 tablespoons of sugar Since 2 tablespoons make up 1 ounce and 8 ounces make up 1 cup 3) Since her weight is less than the bridge's weight limit of 10 tons, it is safe for Erin 4) One gallon is equal to 3.785 liters, so 5 gallons is equal to:18.925 liters fluid
what is weight limit ?
A weight limit is the maximum weight that is allowed for a particular object, structure, vehicle, or mode of transportation, beyond which it may not be safe or legal to operate.
what is fluid?
In general, fluid is any substance that can flow and take the shape of its container. Fluids can be gases or liquids, and they are distinguished from solids by their ability to flow and lack of resistance to shear stress.
In the given question,
1) To determine how many times Bill needs to walk around the park to complete a 5-mile walk, we need to first find the total distance around the park. Since the park is a square with sides of 500 feet, the total distance around the park is:
4 x 500 feet = 2000 feet
2000 feet / 5280 feet/mile = 0.3788 miles
To complete a 5-mile walk, Bill would need to walk:
5 miles / 0.3788 miles per park loop = 13.199 park loops
Rounding up to the nearest whole number, Bill would need to walk around the park approximately 14 times to complete a 5-mile walk.
2) Since 2 tablespoons make up 1 ounce and 8 ounces make up 1 cup, we can convert tablespoons to cups as follows:
2 tablespoons/1 ounce x 1 cup/8 ounces = 0.25 cups/tablespoon
Therefore, Jamie would need:
2 cups / 0.25 cups/tablespoon = 8 tablespoons of sugar
3) To determine if it is safe for Erin to cross the bridge in the moving truck, we need to calculate the total weight of the truck and her belongings. Since 1 ton is equal to 2000 pounds, the weight of the moving truck and her belongings in tons is:
(12600 pounds + 6000 pounds) / 2000 pounds/ton = 9.3 tons
Since this weight is less than the bridge's weight limit of 10 tons, it is safe for Erin to cross the bridge in the moving truck.
4) One gallon is equal to 3.785 liters, so 5 gallons is equal to:
gallons x 3.785 liters/gallon = 18.925 liters
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The temperature in Abu Dhabi is 28°C. The temperature in Moscow is 16°C colder. What is the temperature in Moscow
Plss help
Answer:
12 degrees celsius
Step-by-step explanation:
28 - 16=12
hope it helps
expand and simplify (2x-1)(x-3)
Answer:
Expand the polynomial using the FOIL method.
2 x 2 − 7 x + 3
Step-by-step explanation:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.
In ΔOPQ, p = 9.5 inches, q = 7.6 inches and ∠O=31°. Find the area of ΔOPQ, to the nearest 10th of a square inch.
The area of ∆OPQ is 21.69 square inch.
Answer:
18.6 in delta math
Question 12 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of and a standard deviation of . Find the probability that the mean GPA of a random sample of students selected from this university is or higher.
Complete question :
The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.
Answer:
0.10868
Step-by-step explanation:
Given that :
Mean (m) = 3.02
Standard deviation (s) = 0.29
Sample size (n) = 20
Probability of 3.10 GPA or higher
P(x ≥ 3.10)
Applying the relation to obtain the standardized score (Z) :
Z = (x - m) / s /√n
Z = (3.10 - 3.02) / 0.29 / √20
Z = 0.08 / 0.0648459
Z = 1.2336940
p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)
Which variation is represented by this situation:
If one hose can fill a swimming pool in 7 hours, how long will it take 3 hoses to fill the pool?
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
∆ABC is translated 6 units up and 3 units left to create ∆A'B'C' using the rule (x, y) ⇒ (x - 3, y + 6)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
Rigid transformation are those transformations that do not change the shape or size of a figure such as translation, reflection and rotation. Dilation is not a rigid transformation.
∆ABC is translated 6 units up and 3 units left to create ∆A'B'C' using the rule (x, y) ⇒ (x - 3, y + 6)
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