Answer:
A weekly salary is a function of the hourly pay rate and the number of hours worked
Step-by-step explanation:
a function is a map assigning values of a result or solution set to values of a set of initial or starting values.
we typically name these starting values x and the solution values f(x) or y (the results "created" out of x).
we often say
y = f(x)
and provide an expression or table to explain the logic of the mapping between x and f(x).
the only rule to be a function and not just a general relationship between these 2 sets :
every value in the set of starting values must have exactly one assigned solution value. not 0, not 2 (or more). one and only one.
but yes, different values of x can have the same assigned solution value. that is not a problem for a function. it just cannot be the other way around. there cannot be different solution values assigned to the same value of x.
so, a typical example of a function is a line.
e.g.
y = f(x) = 5x + 12
for every value of x you could think of (and everything else) there is exactly one result value calculated.
or the score board in a sports event :
athlete 1 : 12 points
athlete 2 : 24 points
athlete 3 : 20 points
athlete 4 : 22 points
...
the athletes are the "x". and their associated points the "f(x)" or "y".
no athlete is listed multiple times with different scores.
a typical example of not being a function is a circle. for almost every value of x inside the circle (that means for almost every point of the horizontal diameter of the circle) there are 2 values of y (that means points on the arc of the circle) : one above and one below the diameter.
or a strange score board like
athlete 1 : 12 points
athlete 2 : 24 points
athlete 3 : 20 points
athlete 2 : 22 points
athlete 4 : 22 points
...
athlete 2 is listed twice with 2 different scores.
so, this is therefore not a function.
The study of Euclidean geometry has led to the development and acceptance
of other non-Euclidean types of geometry.
A. True
B. False
Answer:
True
Step-by-step explanation:
The speed of the wind, w, is at most 56 miles per hour. The translation is
Answer:
56mph
Step-by-step explanation:
i hope this is the answer you were looking for
Explain how to do -12 - (-98) + 7 - 3
4. Randall's monthly water bill from April to July is listed in the table below. What was the percent
increase in his bill from May to July?
The percent increase in his bill from May to July is 32.29%.
What is the percent increase in the bill?
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.
The percent increase in his bill from May to July = (bill in July / bill in May)^(1/number of months) - 1
(136.50 / 78)^(1/2) - 1 = 32.29%
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What would happen to a cell if the transport of materials across its membrane could not take place
If our cells couldn't control what crossed their membranes, either no molecules would make it across, or they'd be travelling willy-nilly and the internal environment would always be in flux.
12. Ben and Jerry invest $50 000 and $75 000 respectively in the same bank.
If the rate is 8%, how many whole years will it take for Ben to cross the amount of money that Jerry would have in 2 years?
Write a polynomial equation with integer coefficients that has the given roots.
x = -1 x=-6
Polynomial equation with integer coefficients that has roots x= -1 and
x = -6 is equal to x² +7x +6=0.
As given in the question,
Given roots for the polynomial equation with integer coefficient are
x = -1 ⇒ x + 1=0
x = -6 ⇒ x + 6 =0
Polynomial equation is
( x + 1) ( x + 6) =0
⇒ x² + 1x + 6x + 6 =0
⇒ x² + 7x + 6 =0
Therefore, polynomial equation with integer coefficients that has roots x= -1 and x = -6 is equal to x² +7x +6=0.
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Amy paid $66.94 for a pair of running shoes during a 15%-off sale. What was the regular price?
...
What is 8x99 in expression form
In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.
Now, Given:
8 x 99
We know 99 = 100 - 1.
Thus, by basic algebra, 8 ( 99) = 8 (100 - 1)
8 ( 100 - 1) = 8(100) - 8(1)
8( 100 - 1) = 800 - 8 = 792.
Hence, In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.
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PLEASE HELPb) Darragh is inflating a balloon in the shape of a sphere. When fully inflated, the balloon has a radius of 15 cm. (i) Find the volume of Darragh's balloon when it is fully inflated. Give your answer in cm³, in terms of it.
solutions pls
We need to know the formula for volume of a sphere to solve this question.The volume of Darragh's balloon when it is fully inflated is 3532.5[tex]cm^{3}[/tex]
A sphere can be called a circle in 3D, for example a ball is a sphere. There can be solid spheres and hollow spheres, a balloon is a hollow sphere because it has air inside it. The volume of a sphere can be calculated irrespective of it being a solid or a hollow sphere. The volume of a sphere is the capacity the sphere has, incase of a balloon the volume of a balloon means it's capacity to hold air in it. The formula for volume of a sphere is
V=[tex]\frac{1}{3}[/tex]π[tex]r^{3}[/tex] where V is the volume, r is the radius of the sphere
In the question it is given that radius of the sphere when fully inflated is 15cm
V=[tex]\frac{1}{3}[/tex]×3.14×15×15×15=3532.5 [tex]cm^{3}[/tex]
Therefore we found the volume of the balloon when fully inflated to be 3532.5[tex]cm^{3}[/tex].
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convert into power notation (-2197)
In A PQR, QT is
an altitude...QT=
(1) 10
(3) 4
(2) 8
(4) 6
Answer:
20 psectacles and scranbled
Find the area of the shaded region. Help please!
Answer:
Around 73cm
Step-by-step explanation:
314.16 is the area of the whole circle
shaded is 85/365 (around 23 percent)
The following expression gives an approximate value of the total average credit card debt in a U.S. household (in dollars)
t
years after 1995.
417
t
+
5850
Use this expression to predict what the total average credit card debt was or will be in the year 2014.
Answer: In the year 2014, the total average credit card debt for a U.S. household will be (or was)
dollars.
In the year 2014, the total average credit card debt for a U.S. household was 13,773 dollars.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
How to predict the total average credit card debt in 2014?In order to predict the total average credit card debt in 2014, we would determine the number of years (t) from 1995 to 2014 and then substitute the value into the given expression as follows:
Number of years, t = 2014 - 1995
Number of years, t = 19 years.
Substituting the years into the expression, we have;
Total average credit card debt = 417t + 5850
Total average credit card debt = 417(19) + 5850
Total average credit card debt = 7,923 + 5850
Total average credit card debt = $13,773.
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a map has a scale of 1:1000.
i)
What distance on the ground (in meters) is represented on the map as
(a) 2cm (b) 7.6cm?
ii)
What distance on the map represents
(a) 100m (b) 2.6km?
(a) The distance on the ground represented 2 cm on the map is 2000 cm.
(b) The distance on the ground represented 7.6 cm on the map is 7600 cm
It is a technique wherever we discover worth|the worth} of one unit from the worth of multiple units and also the value of multiple units from the worth of one unitIt is given that a map has a scale of 1:1000 which means that 1 cm of the map represents 1000 cm on the ground .
i) (a) Using unitary method , we get
1 cm on map is equivalent to = 1000 cm on the ground
2 cm on map is equivalent to = 2 × 1000
= 2000 cm on the ground
(b) Using unitary method , we get
1 cm on map is equivalent to = 1000 cm on the ground
7.6 cm on map is equivalent to = 7.6 × 1000
= 7600 cm on the ground
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help i need help i this please
Answer:
-∞ and -∞ both answers
Step-by-step explanation:
From the graph it is clear that as x becomes smaller and smaller, y gets smaller and smaller. So as x → -∞, y → -∞
On the positive x side, as x gets bigger and bigger, y gets smaller and smaller so
as x → +∞, y → -∞
A survey of 541 adults aged 18-24 year olds was conducted in which they
were asked what they did last Friday night. It found:
181 watched TV
• 180 hung out with friends
• 150 ate pizza
• 46 watched TV and ate pizza, but did not hang out with friends
• 36 watched TV and hung out with friends, but did not eat pizza
• 29 hung out with friends and ate pizza, but did not watch TV
• 25 watched TV, hung out with friends, and ate pizza
How may 18-24 year olds did not do any of these three activities last Friday
Answer: 30
Step-by-step explanation:
181+180+150=
361+150=511
541-511=30 18-24 year olds
**46 of 181 students that watched TV ate pizza and the same 46 students of the 150 students that ate pizza watched TV.
Which measurement is closest to 270 cm: 9ft, 680in. or 270 in.?
The measurement 9 feet is closest to 270 centimeters.
What measure is equivalent to another measure?
In this problem we have a case of unit conversions, in which we must find what measure in a unit offers the best approximation to other represented in other unit. Please notice that a centimeter equals 25 / 762 feet and 50 / 127 inches. Now we proceed to calculate the equivalent quantities in feet and inches by simple rule of three:
x = 270 cm × (25 / 762 feet / cm)
x ≈ 8.858 feet
x = 270 cm × (50 / 127 inches / cm)
x ≈ 106.299 inches
The measurement 9 feet is closest to 270 centimeters.
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Dinesh has a goal of keeping his administrative tasks below 10% of his weekly hours. In which week(s) did he meet this goal? Be sure to show your work, list the percentages in the chart below, and answer the question. Administrative Hrs Total Hours
Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.
How are the percentages determined?The percentages of administrative tasks are computed by dividing the administrative hours worked by the total hours worked each week.
Percentages are ratios or portions of a variable in the whole number.
Data and Calculations:Administrative Hrs Total Hours Worked Admin % Goal Met?
Week 1 4.25 40 hours 10.625% No
Week 2 2.57 40 hours 6.425% Yes
Week 3 3.83 40 hours 9.575% Yes
Week 4 3.40 40 hours 8.500% Yes
Thus, Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.
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Question Completion:Administrative Hrs Total Hours Worked Admin % Goal Met?
Week 1 4.25 10 hours
Week 2 2.57 8 hours
Week 3 3.83 8 hours
Week 4 3.40 8 hours
add 1/2 + 1/4 + 1 1/4
Answer:
Final answer is 2
Step-by-step explanation:
Does anyone know where the a in front of the parentheses for the LCD : a(a+5)(a-6) came from?
Thank you!
Answer:
See below
Step-by-step explanation:
If you factor [tex]a^2-a-30[/tex] you get [tex]\left(a^2+5a\right)+\left(-6a-30\right)[/tex]
= [tex]a(a+5)-6(a+5)[/tex]
= [tex]a(a+5)(a-6)[/tex]
That's where the a comes in
Not sure if that answers your question
Convert the following quantities to the indicated units.
24 grams per cubic centimeter to how many pounds per cubic inch?
24 grams per cubic centimeters equals 0.867 pounds per cubic inches
How to convert the quantities to the indicated units?The quantity (x) is given as:
x = 24 grams per cubic centimeters
1 gram equals 0.00220462 pounds
So, we have:
x = 24 * 0.00220462 pounds per cubic centimeters
Evaluate
x = 0.05291088 pounds per cubic centimeters
1 cubic centimeters equals 0.0610237 cubic inches
So, we have
x = 0.05291088 pounds per 0.0610237 cubic inches
Rewrite as
x = 0.05291088/0.0610237 pounds per cubic inches
Evaluate
x =0.867 pounds per cubic inches
Hence, 24 grams per cubic centimeters equals 0.867 pounds per cubic inches
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Combine like terms to simplify the expression:
12x-3(3x-5)+24
Answer:
3(x+13)
Step-by-step explanation:
use the distributive property to multiply -3 by
3x -5
12x -9x + 15 + 24
then
combine 12x and -9x to get 3
add 15 + 24 to get 39
The sum of
5
9
and six times a number is equal to
2
subtracted from seven times the number. Find the number.
ANSWER:
x=61
STEPS FOR SOLVING LINEAR EQUATION :
59+6x=7x−2Subtract 7x from both sides.
59+6x−7x=−2Combine 6x and −7x to get −x.
59−x=−2Subtract 59 from both sides.
−x=−2−59Subtract 59 from −2 to get −61.
−x=−61Multiply both sides by −1.
x=61Hope it helps!!!
;}
Answer:
answer to the question is x=61
Homework 4.3 Partial Derivatives
If Partial Derivatives f(x,y) -8e^4x sin(7y) is 32 e^(4 x) sin(7 y) and
56 e^(4 x) cos(7 y)
Partial Derivatives
d/dx(8 e^(4 x) sin(7 y))
Factor out constants:
= 8 (d/dx(e^(4 x))) sin(7 y)
Using the chain rule, d/dx(e^(4 x)) = (d e^u)/(du) (du)/(dx), where u = 4 x and d/(du) (e^u) = e^u:
= e^(4 x) (d/dx(4 x)) 8 sin(7 y)
Factor out constants:
= 4 (d/dx(x)) 8 e^(4 x) sin(7 y)
Simplify the expression:
= 32 e^(4 x) (d/dx(x)) sin(7 y)
The derivative of x is 1:
= 32 e^(4 x) sin(7 y)
Simplify the expression:
32 e^(4 x) sin(7 y)
Part 2:
Partial Derivatives
d/dy(8 e^(4 x) sin(7 y))
Factor out constants:
= 8 e^(4 x) (d/dy(sin(7 y)))
Using the chain rule, d/dy(sin(7 y)) = (dsin(u))/(du). (du)/(dy), where u = 7 y and d/(du) (sin(u)) = cos(u):
= cos(7 y) (d/dy(7 y)) 8 e^(4 x)
Factor out constants:
= 7 (d/dy(y)) 8 e^(4 x) cos(7 y)
Simplify the expression:
= 56 e^(4 x) cos(7 y) (d/dy(y))
The derivative of y is 1:
= 56 e^(4 x) cos(7 y)
Simplify the expression:
56 e^(4 x) cos(7 y)
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find derivative from first principle:
x² tanx
Answer:
f'(x) = 2.x.tan(x) + x²/cos²(x)
Step-by-step explanation:
f(x) = x².tan(x)
=> f'(x) = (x²)' . tan(x) + x². (tan(x))'
= 2x.tan(x) + x² . 1/cos²(x)
=> f'(x) = 2.x.tan(x) + x²/cos²(x)
Solve −3 = x/4 + 5 using the replacement set {−32, 8, 32} .
A. −32
B. 8
C. 32
D. I don't know.
Answer:
A
Step-by-step explanation:
substitute the values from the replacement set into the right side of the equation to find which values of x make the equation true.
x = - 32
[tex]\frac{-32}{4}[/tex] + 5 = - 8 + 5 = - 3 ← True
x = 8
[tex]\frac{8}{4}[/tex] + 5 = 1 + 5 = 6 ≠ - 3 ← False
x = 32
[tex]\frac{32}{4}[/tex] + 5 = 8 + 5 = 13 ≠ - 3 ← False
the solution is therefore x = - 32
MAYA WALKED 34 1/2 MILES . KALEB WALKED 24 1/2 MILES. HOW MANY MILES WS WALKED IN TOTAL
Answer:
Two halves make a whole
34 + 24 + (1/2 + 1/2)
34 + 24 + 1
if you add all the prime numbers between 2 and 33 and then multiply it by itself y
Answer:
24964
Step-by-step explanation:
hope this works - btw this is not including 2 and 33
A cheetah can run 70 miles per hour. What is this speed in feet per hour?
the speed of the Cheetah in feet per hour will be 369600 feet per hour when the speed if 70 miles per hour.
Speed of the Cheetah = 70 miles / hour
1 mile = 5280 feet
Now, we will convert 70 miles into feet.
For this, we will use the operation of multiplication.
We will multiply 5280 to 70 to convert the miles into feet.
So, the speed of the Cheetah will become:
Speed of the Cheetah = 5280 × 70 / hour.
Speed of the Cheetah = 369600 feet / hour.
Therefore, we get that, the speed of the Cheetah in feet per hour will be 369600 feet per hour when the speed if 70 miles per hour.
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