Answer:
they are equal
0.5kg is 500g
A helicopter hovers 40 feet in the air then the helicopter rises at 21 feet per second what is the helicopters height after 45 seconds
Answer:
its 985 ft :]
Step-by-step explanation:
Answer:
it is 985 ft
Step-by-step explanation:
I used a calculator
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Learn more about temperature here:
https://brainly.com/question/25677592
#SPJ8
Algebra please help!!!!! 30 points!!!
9514 1404 393
Answer:
C. x < 0
Step-by-step explanation:
The curve opens downward and has its vertex is at x=0, so the largest increasing interval will be the one that has its right end at x = 0⁻.
x < 0
Answer:
C. x<0
Step-by-step explanation:
The curved open downward Vertex , x = 0Largest interval x = 0^-x <0You designed invitations for the Thanksgiving dinner, and you want to order them soon. The current sizing 9 in. X 8 in. is too big so you would like to scale it down. on the website, you select a scale factor of 5:1. given the current measurements, what will the new measurements be?
Based on a scale factor of 5:1 of the current measurement of the Thanksgiving invitations, the new measurement will be 1.8 in. x 1.6 in.
What is the scale factor?The scale factor refers to the ratio of an original object or measurement and a new object.
The scale factor can refer to a larger or smaller representation of the original measurement. This implies that we can scale the original measurement down or up.
Current measurement = 9 in. X 8 in.
Scale factor = 5:1
= 20% (1/5 x 100)
Thus, the invitations designed with a current sizing of 9 in. x 8 in. can be scaled down with a scale factor of 5:1 to 1.8 in x 1.6 in.
Learn more about the scale factor at https://brainly.com/question/2826496
#SPJ1
Select the correct answer.
Which expression is equivalent to the given expression?
In(2e/x)
A. In 2 - In x
B. In 1 + In 2 - ln x
C. 1 + In 2 - In x
D. In 2 + ln x
Answer:c
Step-by-step explanation:
The equivalent expression is 1 + In 2 - In x.
How to estimate an equivalent to the given expression?Given:
\($\ln \left(\frac{2 e}{x}\right)$\)
Apply log rule:
\($$\log _{C}\left(\frac{a}{b}\right)=\log _{c}(a)-\log _{c}(b)$\)
\($&\ln \left(\frac{2 e}{x}\right)=\ln (2 e)-\ln (x) \\\)
= ln (2e) - ln (x)
Apply log rule:
\($\log _{c}(a b)=\log _{c}(a)+\log _{c}(b)$\)
ln (2e) = ln (2) + ln (e)
= ln (2) + ln (e) - ln (x)
Apply log rule:
\($\log _{a}(a)=1$\)
= ln (2)+1-ln (x)
Therefore, the correct answer is option C. 1 + In 2 - In x.
To learn more about log rule
https://brainly.com/question/1807994
#SPJ2
Multiple choice: Select the best answer for Exercises 49 to 52. Most people can roll their tongues, but many can’t. The ability to roll the tongue is genetically determined. Suppose we are interested in determining what proportion of students can roll their tongues. We test a simple random sample of 400 students and find that 317 can roll their tongues. The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (a) 0.008. (b) 0.02. (c) 0.03. (d) 0.04. (e) 0.208.
The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (d) 0.04
The margin of error is a statistic that describes how much random sampling error there is in survey results.
Given in question,
n = 400
p = 317/400
= 0.7925
Confidence Level = 95%
= 0.95
Formula for margin error, E = \(z\sqrt{\frac{p(1-p)}{n} }\)
Confidence level corresponding to 95 % confidence interval, z = 1.96
Therefore,
Margin Error, E = \(1.96\sqrt{\frac{0.7925(1-0.7625)}{400} }\)
= 0.0397
≈ 0.04
Hence, The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is 0.0397 which is closest to 0.04.
To learn more about margin of error here:
https://brainly.com/question/10501147
#SPJ4
Temperatures this cold are rare.
Another 8°F colder, and it will be
-40°F.
Pleaae show the work
Answer:
-32°F
Step-by-step explanation:
8°F - 40°F
=> 32°F
Given the formula: D=m/v
Solve for V.
Answer:
v=m/d
Step-by-step explanation:
D=m/v
D*v=m
d*v/d=m/d
v=m/d
The required solution for v is v = m/D.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =.
The given equation is,
D = m/v
To solve for v we need to isolate v to one side and other variables to another side.
Therefore multilpying the equation both the side by we get,
Dv = v*m/v
Solving we obtain,
Dv = m
Now divide the equation both side by D we obtain,
Dv/D = m/D
Solving we obtain,
v = m/D
which is the required solution for v.
Thus, the required solution for v is v = m/D.
To learn more about equations:
brainly.com/question/16584198
#SPJ2
Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)
Ken ran 2 1/6 miles in 20.8 minutes. How
many minutes on average did it take him to
run one mile?
The amount of time taken by Ken to cover 1 mile will be 9.6 minutes.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Ken ran 2 1/6 miles in 20.8 minutes. The amount of time taken by Ken to cover one mile will be calculated as below:-
2 ( 1/6) miles = 20.8 minute
13 / 6 miles = 20.8 minutes
1 miles = ( 6 / 13 ) x 20.8
1 mile = 9.6 minutes
Therefore, the amount of time taken by Ken to cover 1 mile will be 9.6 minutes.
To know more about an expression follow
https://brainly.com/question/28154777
#SPJ2
Help look at picture no links!!!
Answer:
B
Step-by-step explanation:
Angle 1 is an exterior angle, while angle 6 is an interior angle and so they are not congruent
pleaseeee help ill give brainliest
When rounded to the nearest thousand and elephant weight is 5,000 pounds. What is the least amount the elephant could weigh?
Answer:
4500
Step-by-step explanation:
As long as your number isn't less than 500, it will always round up.
The required least weight of the elephant is 4500 pounds.
Given that,
When rounded to the nearest thousand an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh is to be determined.
The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here, in the question, the rounded value of the elephant is given which is 5000 pounds, the least value that can be round to the nearest hundred is 4500.
Thus, the required least weight of the elephant is 4500 pounds.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
The population of a town increased from 3700 in 2005 to 5900 in 2009. Find the absolute and relative (percent) increase.
Absolute increase:
Relative increase:
%
The absolute increase in population is 2200, and the relative increase is approximately 59.46%.
To find the absolute and relative increase in population, we can use the following formulas:
Absolute increase = Final value - Initial value
Relative increase = (Absolute increase / Initial value) * 100%
Given the population in 2005 is 3700 and the population in 2009 is 5900, we can calculate the absolute and relative increase as follows:
Absolute increase = 5900 - 3700 = 2200
To calculate the relative increase, we need to divide the absolute increase by the initial value and then multiply by 100:
Relative increase = (2200 / 3700) * 100% ≈ 59.46%
Therefore, the absolute increase in population is 2200, and the relative increase is approximately 59.46%.
The absolute increase represents the actual difference in population count between the two years, while the relative increase gives us the percentage change relative to the initial value. In this case, the population increased by 2200 individuals, and the relative increase indicates that the population grew by approximately 59.46% over the given period.
Note that the relative increase is expressed as a percentage, which makes it easier to compare changes across different populations or time periods.
for more such question on population visit
https://brainly.com/question/30396931
#SPJ8
Find the linearization of f(x) = √ x at a = 4
Answer:
Step-by-step explanation:
To find the linearization of the function f(x) = sqrt(x) at x = a, we can use the linearization formula:
f(x) ≈ f(a) + f'(a) (x - a)
To use this formula, we first need to find the value of f(a) and f'(a). At x = a = 4, the value of f(x) is f(4) = sqrt(4) = 2. The derivative of f(x) is f'(x) = 1/(2 * sqrt(x)), so the value of f'(a) is f'(4) = 1/(2 * sqrt(4)) = 1/4.
Substituting these values into the linearization formula, we get:
f(x) ≈ 2 + 1/4 (x - 4)
This is the linearization of f(x) = sqrt(x) at x = 4. It is an approximation of the function f(x) that is valid for values of x that are close to 4.
Urgent Fast!!!!!!!??????
If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.
The area of a square = (side)^2
In this problem,
Area = 484
side = # of rows
Let's plug our values into the formula above
484 plants = (side)^2
Take the sqrt of both sides.
22 rows = side.
Answer:
This is the answer..........
Jenna can type 140 words in 4 minutes. If she needs to type 385 words, how long would this take her? Explain how you got your answer
Answer:
11 minutes
Step-by-step explanation:
Because she types only 140 words in 4 minutes so if you add
140+140=280
if you divide
140/4 you get 35
so every minute she types in 35 words. So multiply
11 times 35 and you exactly get 385.
Answer:
11 min
Step-by-step explanation:
140 ÷ 4
= 35 which is the amount of words that she types in 1 min.
385 ÷ 35
= 11
so it will take Jenna 11 min to type 385 words.
The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)
I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct
The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.
To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.
Given:
Radius rate of change: dr/dt = 3 mm/min
Height: h = 20 mm
Radius: r = 10 mm
Volume of the cylinder (V) = \(r^2h\)
Differentiating with respect to time (t), we have:
dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)
Since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dV/dt = 2(10)(20)(3) + (10^2)(0)
dV/dt = 600 + 0
dV/dt = 600 mm^3/min
Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.
Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)
Differentiating with respect to time (t), we have:
dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)
Again, since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)
dSA/dt = 0 + 120π + 120π
dSA/dt = 240π mm^2/min
Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.
For more such questions on cylinder
https://brainly.com/question/28247116
#SPJ8
8 cupcakes in 1 box = 16 cupcake in X boxes
Answer:
2 boxes
Step-by-step explanation:
8 cupcakes in 1 box = 16 cupcake in x box
We Take
16 ÷ 8 = 2 boxes
So, the answer is 2 boxes.
If you know that a line has a slope of 2/3 and a y-intercept of 7, what is the equation for that line in slope-intercept form?
slope intercept form is y=mx+b
so slope is 2/3
so ur answer is y=2/3x+7
thx
hope u have a good day
byee
:)
Show all work to multiply quantity 6 plus the square root of negative 64 end quantity times quantity 3 minus the square root of negative 16 end quantity
Answer: 50
Step-by-step explanation:
[6+√-64] × 3-√-16
(6+8i)(3-4i)
6(3-4i)+8i(3-4i)
18-24i+24i+32
18+32=50
the answer is 50Answer:
fifty
Step-by-step explanation:
fifty
solve the system of equation without graphing and show your reasoning write the answer as (x,y)
5x+y=7
20x+2=y
The solution of given system of equations is (1/5, 6).
What is system of equation?
A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations are simpler than non-linear equations because they graph as straight lines.
Given equations : 5x+y=7
20x+2=y
We can solve it by using substitution method:
Now, we have 5x+y=7
it can be written as,
y = 7 - 5x .... equation 1
Similarly, we have 20x+2=y
can be written as,
y = 20x+2 ..... equation 2
Subtracting equation 1 from equation 2
we get, 20x+2 - ( 7 - 5x ) = 0
20x + 5x + 2 - 7 = 0
25x = 5
x = 1/5
Putting x=1/5 in equation 1,
we get, y = 20 × 1/5 + 2
= 4 +2
= 6
To learn more about System of equation, visit the ink:
https://brainly.com/question/13729904
#SPJ1
Jim started reading at 6:45. He read for 1 hour and 20 minutes. When did Jim stop reading?
Jim stopped reading at 8:05, after reading for 1 hour and 2 minutes when we started at 6:45.
How do we add time?In time problems, we need to know the relations between seconds, minutes, hours, and days.
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds.
How do we solve the given question?We are informed that Jim starts reading at 6:45.
He reads for 1 hour and 20 minutes.
We add this time to the time he starts reading to find the time when Jim stops reading.
First we add hours, 6 + 1 = 7 hours.
Now we add minutes, 45 + 20 = 65 minutes. But we know 60 minutes = 1 hour, so we can say 65 minutes = 1 hour and 5 minutes.
So when we calculate the total time, we get,
Jim stopped reading at 7 + 1:05 = 8:05.
∴ Jim stopped reading at 8:05, after reading for 1 hour and 20 minutes when we started at 6:45.
Learn more about Addition of Time at
https://brainly.com/question/27062457
#SPJ2
Han has some jars. He put 3/4 cup of grape jam in each jar, using a total of 6 3/4 cups. How many jars did he fill?
Answer:
9
Step-by-step explanation:
Hans put 3/4 cups of grape jam in each jar
He used a total of 6 3/4 cups
Therefore the number of jars he filled can be calculated as follows
= 6 3/4 ÷ 3/4
= 27/4 ÷ 3/4
= 27/4 × 4/3
= 27/3
= 9
Hence 9 jars can be filled
A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
6 1/4 - 2 1/2
Please answer :)
Answer:
3 decimal 75 is the answer
Line u has a slope of -8/9. Line v is parallel to line u. What is the slope of V
Answer:
-8/9
Step-by-step explanation:
if the 2 lines are parellel, they have the same slope
(2z+2)(z^2+z–2) please help
Answer:
2z^3+4z^2-2z-4
Step-by-step explanation:
Distribute
2z^3+2z^2-4z+2z^2+2z-4
Simplify
2z^3+4z^2-2z-4
Quadrilateral CAWT is the image of quadrilateral MOPS translated 7 units right and 5 units down. If you know the measure of ∠M, what other angle do you know the measure of?
∠C
∠A
∠W
∠T
i d k
Step-by-step explanation:
Option (A) will be the answer.
Rigid transformation: If the size and shape of a figure after transformation remains unchanged, transformation is called as rigid transformation.
(Example: Translation, Rotation and Reflection)
Given in the question,
Quadrilateral CAWT is the image of quadrilateral MOPS translated by 7 units right and 5 units down. Measure of ∠M is known.Since, image quadrilateral MOPS is formed by the translation of quadrilateral CAWT by 7 units right and 5 units down,
It's a rigid transformation having measures of all interior angles unchanged.
By the definition of rigid transformation → ∠M ≅ ∠C
Therefore, option (A) will be the answer.
Learn more about the transformation here,
https://brainly.com/question/11709244?referrer=searchResults
What single transformation maps ABC onto ABC?; Which rigid transformations can map triangle ABC onto triangle Fed?; What are the rigid transformations that will map โณ ABC to โณ DEF ?; Which pair of triangles can be proven congruent by the HL theorem?; Which rigid transformation S can map Triangleabc onto Triangledec ?
Single transformation maps ABC onto A'B'C' is reflection.
Given :
Reflection the single transformation maps ABC onto A'B'C' is reflection .
The rigid transformations can map triangle Δ ABC onto triangle Δ FED is reflection then translation .
The rigid transformations that will map Δ ABC to Δ DEF is rotation then translation .
pair of triangles can be proven congruent by the HL theorem is rotation then translation .
rigid transformation S can map Triangle abc onto Triangle dec is reflection then rotation .
Learn more about the triangle here:
https://brainly.com/question/2773823
#SPJ4