The correct given equation is:
v = [3 (h + 1)^2.5 + 580 h – 3] / 10 h
So to solve for the instantaneous velocity at t = 1, we must set h = 0. However we cannot do that since h is in denominator and a number divided by a denominator is infinite. Therefore we must set h to something almost zero. In this case, h = 0.0000001, so that:
at t = 1
v = [3 (0.0000001 + 1)^2.5 + 580 (0.0000001) – 3] / 10 * 0.0000001
v = 58.75 ft/s
The question is asking for the instantaneous velocity of a car at t = 1 second, which would normally be found by differentiating the position function. However, due to potential typos in the provided equation, the instantaneous velocity cannot be calculated directly.
Explanation:The problem asks for the instantaneous velocity of the car at time t = 1 second. To find the instantaneous velocity, we would typically take the derivative of the position function with respect to time. However, the given equation v = 3(h+1)2.5 + 580h - 3 ave 10h appears to have some issues, possibly due to typos, and cannot be processed as is. In general, if the average velocity function over time h was given correctly, we would evaluate the derivative of that function at h = 0 to find the instantaneous velocity at t = 1 second.
List five staple convenience goods that you or your household buys on a regular basis. (you do not need to use complete sentences. 2.5 points)
The five staple convenience goods are:
Food items,
Petrol,
Detergents,
Drinking water, and
Fruits.
Staple convenience goods are those items that are purchased by consumers on a regular basis because they are constantly used by them.
These items are readily available nearby a domestic environment because they are always on a high demand by consumers.
These goods listed above are called staple convenience goods because they share some common features which include:
These goods can be bought in small quantity especially when needed.These goods doesn't require a purchase plan before they are bought.They are bought frequently and regularly.Learn more here:
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(×2+1)(x3+2x)(x2+4x-16i-4xi) Solve for the roots in equation
If p = .9, what is the frequency of the heterozygote? .81+(2)(.9)(.1) + (.01) .10 .81 + .18 .18
The measures of a sphere with a volume of 972pi in^3 are multiplied by 1/3.
What is the volume of the sphere?
A) 324pi in^3
B) 108pi in^3
C) 54pi in^3
D 36pi in^3
A dog weighs 2 pounds more than a cat. 3 cats and 4 dogs together weigh 43 pounds. How much does a dog weigh? How much does a cat weigh?
The graph above can be extrapolated to determine:
Boyle's Law
PV = k
absolute zero
VT = k
nothing
We can see that
when it is extrapolated
The curve is going downward
and it is till it touches temperature axis
so, we can find point there
It intersects at temperature =-280C
Since, it is x-intercept
so, y will be 0 at that point
so, Volume will be 0 when temperature is -280C
and this is absolute zero definition of volume function
so, Absolute zero.........Answer
A container holds 5 gallons of juice. How much is this in pints?
5 gallons is 40 pints.
Hope this helps!
A model is made of a car. The car is 10 feet long and the model is 7 inches long. What is the ratio of the length of the car to the length of the model? A. 10 : 7 B. 7 : 120 C. 120 : 7 D. 7 : 10
Final answer:
To find the ratio of the car's length to the model's length, first convert the car's length to inches (120 inches), then compare it to the model's length (7 inches), which gives a ratio of 120 : 7.
Explanation:
The question asks for the ratio of the length of the car to the length of the model. First, it's essential to convert both measurements to the same unit for an accurate comparison. The car is 10 feet long, and since 1 foot equals 12 inches, the car's length in inches is 10 feet × 12 inches/foot = 120 inches. The model is 7 inches long. Therefore, the ratio of the length of the car to the length of the model is 120 inches to 7 inches, which simplifies to 120 : 7.
A cyclist rides his bike at a rate of 18 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours In your computations, assume that 1 mile is equal to 1.6 kilometers. do not round your answers
You have 5 pieces of wood. What is the total length of the wood? 73cm, 1.6m, 2.87m, 325cm and 4.04m
Approximately how many years are needed to double a $500 investment when interest rates are 13.50 percent per year? (Round your answer to 2 decimal places)
The population of Bigville increased from 387,480 to 571,533 in the last 7 years. During the same time period, Smallville increased its population by 53.67%. Which town is growing at the greatest rate and by what factor? (round to nearest hundredth) A) Bigville by a factor of 1.13 B) Bigville by a factor of 6.17 C) Smallville by a factor of 1.13 D) Smallville by a factor of 6.17
Answer:
C!!
Smallville by a factor of 1.13
Bigville --
571,533 - 387,480
387,480
= 47.5%
Smallville -- 53.67
Thus,
53.67
47.5
= 1.129
Write 100 more than 234641
-11-X=-18 What is X? hel-pppppp
The boy : Girl ratio is 4:5. If there are 225 students, how many girls are in the school? answer and proportion answer and proportion breakdown please
A mixture of 17 %disinfectant solution is to be made from 10% and 20% disinfectant solution. How much of each solution should be used if 20 gallons of the 17% solution are needed?
How to determine the function is even odd or neither
f(x)=5-3x
if the function is mirrored about the y axis, it is even
use -x in place of x and compare the equations
lets use 2 for x
so given formula would be 5-3(2) = 5-6 = -1
replace x with -x you would have 5-3(-2) =5-(-6) = 5+6 =11
since -1 does not = 11 the function is neither
even =f(x), odd = -f(x), neither f(x) doesn't equal -f(x)
example of odd:
f(x) = x^5 +x, replace x with -x
f(-x) = (-x)^5 +-x
=-x^5-x
=-(x^5+x)
=-f(x)
ODD
Example of even:
f(x) = 1-x^4
f(-x) = 1-(-x)^4
=1-x^4
=f(x)
EVEN
Example of Neither:
f(x) = 2x-x^2
f(-x) = 2(-x)-(-x)^2
=-(2x+x^2)
does not equal f(x)
NEITHER
When an opinion poll calls landline telephone numbers at random, approximately 30% of the numbers are working residential phone numbers. the remainder are either non-residential, non-working, or computer/fax numbers. you watch the random dialing machine make calls. x is the number of calls until the first working residential number is reached. does x have a binomial distribution? give your reasons?
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
she gets 145 every week, but paid every other week
so 145 *2 = 290
her pay check will increase by $290
a state park charges a $6 entry fee plus $7.50 per night of camping write an algebraic expression for the cost in dollars of entering the park and camping for n nights
What is the solution of the system of equations shown in the graph ?
a. (0, 2) c. (0, 4)
b. (2, 0) d. (0, -1)
The solution of graphed equations is the point of intersection of the equations.
The ordered pair that represent the solution is [tex]\mathbf{(b)\ (2, 0)}[/tex]
From the graph, we have the following highlights.
The x-coordinate of the point of intersection is at x = 2The y-coordinate of the point of intersection is at y =0So, the coordinates are 2 and 0
Hence, the ordered pair that represents the solution is [tex]\mathbf{(b)\ (2, 0)}[/tex]
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if you deposit $4000 into an account paying 9% annual interest compounded monthly, how long until there is $10000 in the account?
To determine how long it will take for $4000 to grow to $10000 with an interest rate of 9% compounded monthly, we can use the formula for compound interest and solve for t. The time t is approximately 7.17 years.
Explanation:To find out how long it will take for $4000 to grow to $10000 at an interest rate of 9% compounded monthly, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = total amount after time t
P = principal amount (initial deposit)
r = annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = number of years
By plugging in the given values, we can solve for t:
$10000 = $4000(1 + 0.09/12)^(12t)
Dividing both sides by $4000, we get:
2.5 = (1 + 0.0075)^(12t)
Taking the natural logarithm of both sides, we have:
ln(2.5) = ln(1.0075)^(12t)
Using logarithmic properties, we can isolate t:
12t = ln(2.5) / ln(1.0075)
t = ln(2.5) / (12 * ln(1.0075))
Calculating the value of t, we find that it will take approximately 7.17 years for the account to reach $10000.
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A bridge club had 22 members with a mean age of 68. Then two new members joined. One was 62 years old, and the other was 80 years old. How did the mean age change after they joined?
The probability that the factory manufactures a defective light bulb is 0.02. find the probability that the plant manufactures 100 non defective light bulbs before it manufactures 10 defective ones
The linear function c = 2 y + 29 models the average cost of a haircut in a certain city, where c, is the average price of a haircut y years after 1995. find the slope for the model. then describe what this means in terms of the rate of change in the average cost of a haircut over time
The rate of change implies that the city's haircut prices are consistently going up over time.
The given linear function is c=2y+29, where c represents the average cost of a haircut y years after 1995.
The slope of the linear function, 2, reflects the rate of change in the average cost of a haircut over time.
This means that for each year after 1995, the average cost of a haircut increases by $2. In other words, the slope indicates that the cost of haircuts is rising at a constant rate of $2 per year. This steady increase implies that the city's haircut prices are consistently going up over time.
The positive slope signifies that the average cost is consistently moving upward as the year progresses. Customers can expect to pay, on average, $2 more for a haircut each year compared to the previous year.
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The slope of the linear function c = 2y + 29 is 2, indicating that the average cost of a haircut increases by 2 units for every 1 increase in the number of years after 1995.
Explanation:The slope of a linear function represents the rate of change. In the given linear function c = 2y + 29, the slope is the coefficient of y, which is 2. This means that for every 1 increase in y (number of years after 1995), the average cost of a haircut will increase by 2 units.
(b) the water level drops at a rate of 0.1 cm per hour. at what rate is the radius of the water decreasing when the depth is 4 cm? round your answer to four decimal places.
The rate at which the radius of the water is decreasing when the depth is 4 cm is 0.6949 cm/hr.
Explanation:To find the rate at which the radius of the water is decreasing, we can use the chain rule from calculus. Let's denote the depth of the water as 'h' and the radius as 'r'. We are given that the water level drops at a rate of 0.1 cm per hour, so dh/dt = -0.1 cm/hr. We want to find dr/dt when h = 4 cm. Using the formula for the volume of a cone, V = (1/3)πr^2h, we can find the relationship between r and h: r = √((3V)/(πh)). Taking the derivative of this equation with respect to time, we have: dr/dt = (√((3V)/(πh)))' = -(3/2)(√((3V)/(πh^3)))(dh/dt). Plugging in the given values and solving for dr/dt when h = 4 cm, we get:
dr/dt = -(3/2)(√((3(350))/(π(4)^3)))(-0.1) = 0.6949 cm/hr
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A submarine took 16 minutes to reach a depth of 96 meters below the surface of the water. Which integer best represents the rate of the submarines dive
The ladybugs are planting a garden. They have 25-cm-by-10 cm rectangle for flowers. Each flower needs exactly 1 square centimeter for space. How many flowers can they plant?
Answer: They can plant 250 flowers.
Step-by-step explanation:
Given : The dimension of the rectangular garden = 25-cm-by-10 cm
[i.e. length by width]
Area of rectangle = length x width
⇒ Area of rectangular garden = 25 x 10 = 250 square centimeter .
Area required by each flower = 1 square centimeter
Then, the number of flowers they can plant = [tex]\dfrac{\text{Area of garden}}{\text{Area of needed by each flower}}[/tex]
[tex]=\dfrac{250}{1}=250[/tex]
Hence, they can plant 250 flowers.
Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. How much will someone earning $45,000 a year pay towards social security out of their gross wages?
Answer:
The answer is $1890.
Step-by-step explanation:
Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax)
While employers paid another 6.2%.
So, someone earning $45000, will pay [tex]0.042\times45000=1890[/tex] dollars in FICA.
The question says only individual. The earnings are exclusive to employees, so they will only pay from earnings. The employer will not pay from employee's earnings.
The answer is $1890.
The number of earnings towards social security should be $1,890.
Given that,
The employers in 2012 paid 4.2%.The employer should paid 6.2%.And, the earning should be $45,000.Based on the above information, the calculation is as follows:
[tex]= 4.2\% \times \$45,000[/tex]
= $1,890
Therefore we can conclude that the number of earnings towards social security should be $1,890.
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What does x equal in 3(x+3)-2<25