Answer:
[tex]C = 700+0.22m[/tex]
Domain is [0,500] or [tex]0 \leq m\leq 500[/tex]
Step-by-step explanation:
We are given that:
Cost of cell phone is $700.
Cost per minute for the first 500 calls is $0.22 per minute.
To find:
Function to model total cost of the cell phone bill for the first 500 minutes.
And domain of the function = ?
Solution:
Here, Total Cost is the sum of cost of cell phone, plus the cost of calls.
Total Cost = Cost of cell Phone + Cost of calls
We have the cost of cell phone as $700.
and cost of calls is $0.22 per minute up to 500 minutes.
Let the number of minutes for the calls is m. (m [tex]\leq[/tex] 500)
So, cost for m number of minutes of calls = m [tex]\times[/tex] cost per minute
cost for m number of minutes of calls = [tex]0.22 \times m[/tex]
Let the Total Cost be represented as C.
So, we can write the cost function as:
[tex]C = 700+0.22m \ \{0\leq m\leq500\}[/tex]
Domain of a function is the valid input value to the function for which the output is defined.
Here, the domain is [0, 500] i.e. 0 and 500 are inclusive.
So, the answer is:
[tex]C = 700+0.22m[/tex]
Domain is [0,500] or [tex]0 \leq m\leq 500[/tex]
A homeowner's backyard is a rectangle with width 18 yards long and length 16 yards long. They plan to put in a square pool with side length 5 yards long in the backyard and then want to put tile in the rest of the entire backyard. How much tile do they need to buy?
Answer:
Step-by-step explanation:
Given the dimension of the homeowner's backyard to be width 18 yards long and length 16 yards long, the area of the rectangular backyard id expreesed as;
Area of rectangle = Length * Width
Area of the rectangular backyard = 18yards * 16yards
Area of the rectangular backyard = 288yards²
If they plan to put in a square pool with side length 5 yards long in the backyard, the area of the pool = 5yd*5yd = 25yd²
The remaining area that will contain the tiles = Area of the rectangular backyard - area of the pool
The remaining area that will contain the tiles = 288yd² - 25yd² = 263yd²
Note that we cannot determine the amount of tiles they need to buy since we are not given the dimension of each tile to use. The area needed for the tiles for the rest of the backyard is therefore 263yd².
Amount of tiles needed to buy can be expressed as 263/dimension of a tile.
Vicky and Harold each want to run for president of their school's student body council.
Combine the like terms to create an equivalent expression. 8 r + 7 − 6 r − 5 8r+7−6r−5
Answer:
62r+9
Step-by-step explanation:
Let's simplify step-by-step.
8r+7−6r−58r+7−6r−5
=8r+7+−6r+−58r+7+−6r+−5
Combine Like Terms:
=8r+7+−6r+−58r+7+−6r+−5
=(8r+−6r+−58r+−6r)+(7+7+−5)
=−62r+9
Answer:
=−62r+9
HOPE THIS HELPS!!!!!! :)
<3333333333
x to the power of 2 = 121 what is x
Answer: x = -11, x = 11
Step-by-step explanation:
x² = 121
[tex]\sqrt{x^2}=\sqrt{121}[/tex]
x = ±11
x = -11, x = 11
Jesse estimates that it will cost $300,000 to send his newborn son to a private college in 18 years. He currently has $65,000 to deposit in an account. What simple interest rate would he need so that $65,000 grows into $300,000 in 18 years
Answer:
Simple interest rate (R) = 20% (Approx)
Step-by-step explanation:
Given:
Final amount (A) = $300,000
Number of year (T) = 18
Amount deposit (P) = $65,000
Find:
Simple interest rate
Computation:
interest = Final amount (A) - Amount deposit (P)
interest = $300,000 - $65,000
interest = $235,000
interest = [PRT] / 100
235000 = [(65,000)(R)(18)] / 100
Simple interest rate (R) = 20.085
Simple interest rate (R) = 20% (Approx)
Is x = 3 a solution of the equation 3x − 5 = 4x − 9? Explain.
Answer:
no because on is equal to 3 when plugged in and the other is equal to 4 when plugged in.
Step-by-step explanation:
[tex]3(3)-5=4\\4(3)-9=3[/tex]
Four times the sum of half a number and 6 is 48
Answer:
The number is 12Step-by-step explanation:
Let the number be x
Half a number is written as 1/2x
So we have
Four times the sum of half a number and 6 is 48 is written as
[tex]4( \frac{1}{2} x + 6) = 48 \\ 2x + 24 = 48 \\ 2x = 48 - 24 \\ 2x = 24[/tex]
Divide both sides by 2
That's
[tex] \frac{2x}{2} = \frac{24}{2} [/tex]
We have the final answer as
x = 12Hope this helps you
ab-0.5bab−0.5ba, b, minus, 0, point, 5, b when a=1a=1a, equals, 1 and b=5b=5b, equals, 5.
Answer:
2.5
Step-by-step explanation:
PLEASE HELP ✨
Water flows through a pipe at a rate of 9 quarts every 3.5 years. Express this rate of
flow in cups per day. Round your answer to the nearest hundredth.
Answer:
0.01 rate per dayStep-by-step explanation:
Given that the water flow through a pipe occrs a a rate of 9quarts every 3.5 years, he rate of flow in cups per year will be expresssed as;
9quartz = 3.5years
x quartz = 1 year
cross multiply
9quarts * 1 = 3.5 years * x
9 = 3.5x
x = 9/3.5
x = 2.57142 years
Hence the rate flow of cup per year will be 2.57 years. But since the question asked us to look for the rate of flow per day, we will divivde 2.57 by 365days.
The rate of flow in cups per day = 2.57/365 = 0.00704rate per day
≈ 0.01 rate per day to the nearest hundredth
A job market expert said, “If this trend continues, we will see further increase in employees.” Which of the following graphs could represent the expert’s statement? a. A line graph showing years on the x-axis and all employees, thousands on the y-axis. Line starts at 6,570 on January 2000, increases to 6,800 on January 2001, decreases to 6,650 on March 2003, increases steadily to 7,300 on March 2006, stays at 7,300 on January 2007, then decreases steadily to 6,150 on August 2009. b. A line graph showing years on the x-axis and all employees, thousands on the y-axis. Line starts at 15,000 on January 2000 and increases steadily, to 16,300 on January 2003, 17,00 on January 2006, and 19,100 on January 2009. c. A line graph showing years on the x-axis and all employees, thousands on the y-axis. Line starts at 590 on January 2000, increases slightly to 615 on July 2001, decreases to 560 on March 2003, increases steadily to 790 on September 2008, then decreases sharply to 710 on August 2009. d. None of these
Answer:
the answer is B
Step-by-step explanation:
b
Answer:
B on edge
Step-by-step explanation:
17 points! please help thanks :)
The first step here is to arrange the data set's form least to greatest,
Sherelle: 26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72, 73, 74, 75, 81, 83, 84, 85
Venita: 44, 45, 51, 51, 53, 53, 55, 57, 58, 62, 65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Now we can determine our 5 - number summary based on the numbers respective positions.
First Data Set,
(Five - Number Summary) - Minimum : 26, Quartile 1 : 60, Median : 69.5, Quartile 3 : 75, Maximum : 85
Second Data Set,
(Five - Number Summary) - Minimum : 44, Quartile 1 : 53, Median : 63.5, Quartile 3 : 73, Maximum : 79
What is the missing exponent?
Answer:
0
Step-by-step explanation:
( 2x^2 y^m) ^6 = 64 x^12
We are interested in the y variable
The y on the right is not there so we can write it as y^0
y^m^6 = y^0
We know that a^b^c = a^(b*c)
y^(m*6) = y^0
The bases are the same so the exponents have to be the same
6m =0
m=0
The missing exponent is 0
It’s zoom help me please god
Answer:
Yes it is a very nice app
Answer:
third choice
Step-by-step explanation:
In a function, each value of x can only appear once.
Look in the x column. Each value of x is different, so each value of x only appears once. This is a function.
Answer: third choice
e. Is the a discrete random variable, a continuous random variable, or not a random variable? height of a randomly selected giraffe A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.
Answer:
The correct answer is:
It is a continuous random variable (B)
Step-by-step explanation:
Continuous Random Variables are variables that take on a number of possibilities of values that cannot be counted. The values have infinite possibilities. In this example, the height of a Giraffe measured in meters can be an unlimited possibility if values say, 10.5m, 15.22m 12.0m etc. The possibilities are endless.
Discrete Random variables are variables that take on a number of possibility of occurrences that can be counted. For instance, if a dice is rolled, the possibilities can either be a 1, 2, 3, 4, 5 or 6. There are six values that can be gotten, nothing in-between.
I think the answer is B.
Please check to make sure.
Maria's family has a maple tree and a pine tree in their front yard. The maple tree is 6
feet shorter than the pine tree. The maple tree is 36 feet tall. How tall is the pine tree?
Answer:
Pine tree is 42 feet tall
Step-by-step explanation:
Since Maple tree is shorter than pine tree, you add 6 to 36 which is 42.
42 Feet
A computer downloads 30 megabits per second for "t" seconds. Write an
equation to represent the number of megabits, m, downloaded.
Answer:
M = 30t
Step-by-step explanation:
Given that a computer downloads 30 megabits per second for "t" seconds. That is, the rate at which the computer downloaded it is 30 megabits/second
Where time = t seconds
To Write anequation to represent the number of megabits, m, downloaded,
Rate = megabits/ time
Where
Rate = 30
Megabits = m
Time = t
Therefore, substitute all into the formula
30 = m/t
Make m the subject of formula
M = 30t
The equation is m = 30t
Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced tea with 909090 tea bags. What will Kermit think of Peggy's iced tea?
Answer:
c its right on khan
Step-by-step explanation:
An absolute value inequality is
Answer:
an inequality that has an absolute value sign with a variable inside.
Step-by-step explanation:
A shoe factory produced 900 shoes on
Monday. The factory produced 20% more
shoes on Tuesday. How many shoes did
the factory produce on Tuesday?
Answer:
1,080 shoes
Step-by-step explanation:
Monday production= 900 shoes
Tuesday production=20% more shoes
That is,
20% more of 900
20/100 × 900
=0.2 × 900
=180 shoes
Total production on Tuesday=900 shoes + 180 shoes
=1,080 shows
Is 44 a perfect square or a non-perfect square?
Answer:
A non perfect square
Step-by-step explanation:
The square root of 44 is around 6.633.
Rate me the brainliest if you found this helpful :)
Answer:
non perfect square
Step-by-step explanation:
Compare and contrast natural numbers and rational numbers.
Natural numbers are strictly only plain numbers like no percents or integers, such as 1, 2, 3, 4, 5, 6 etc. Natural numbers are whole numbers and positive, so 0 would not be considered natural since it is not positive or negative
Rational numbers are numbers like 1, -100, .33, -10000, 2.4, etc it can be ALMOST anything, rational numbers fit every category but one IRRATIONAL
Irrational numbers are numbers like pie (3.145.......) it goes on forever and ever if the number never stops and repeats its called a repeating decimal, (HUGE TIP, IF YOU CAN MAKE IT A FRACTION IS IS ALMOST ALWAYS RATIONAL)
Pls help. Will mark brainliest
Answer:
see below (I hope this helps!)
Step-by-step explanation:
p² = 4x² * (q(1 + r² / y²) / S)
p²S = 4x² * q(1 + r² / y²)
p²S / 4x²q = 1 + (r² / y²)
p²S / 4x²q - 1 = r² / y²
y² = r² / (p²S / 4x²q - 1)
y = √( r² / (p²S / 4x²q - 1) = √(r²4x²q / (p²S - 4x²q))
The ratio of the number of boys to the number of girls on the swim team is 4:2. If there are 24 athletes on the swim team, how many boys than girls are there?
Answer:
We have 8 more boys than girls on the swim team.
Step-by-step explanation:
The ratio of boys to girls on a swim team is represented as:
4 : 2
Total number of athletes is given as 24
Total ratio is given as:
4 + 2 = 6
Step 1
We find the number of boys and girls
Number of boys = 4/6 × 24 = 16 boys.
Number of girls = 2/6 × 24 = 8 girls.
Therefore, since we have 16 boys and 8 girls on the swim team, we have 8 more boys than girls on the swim team.
Name the plane that contains points A, D, and E.
B
S
point A
6
point B
(1)
О ВС
plane C
plane D
>
DE
plane ABC
plane S
plane 1
Answer:
Plane T
Step-by-step explanation:
The given points A, D, and E are shown as being on the plane T as follows
Point a lays on the boundary of the boundary between plane S and plane T
Points D and E are points on a line DE that is on the plane T
Therefore, given that the line DE and the point A all lay on the same plane T, the plane that contains points A, D, and E, is plane T.
Answer:
leave me a,ine
Step-by-step explanation:
Linda Gramham's Cinnamon Sugar Graham Cupcake recipe for 36 cupcakes requires 1 1/4 cups of sugar. How much sugar is required for 900 cupcakes? Reduce to lowest terms.
Answer:
31.25 or 31 1/4 cups
Step-by-step explanation:
1 1/4 = 36
x = 900
=> 5/4 = 36
x = 900
Cross multiply
=> 5/4 * 900 = 36 * x
=> 4500/4 = 36x
=> 1125 = 36x
=> 1125 / 36 = 36x / 36
=> 31.25 = x
31.25 = 31 1/4
So, 31.25 or 31 1/4 cups are required for 900 cupcakes.
[tex]\frac{125}{4}=31\frac{1}{4}[/tex] cups of sugar is required for 900 cupcakes.
First, it is convenient to convert the mixed fraction corresponding to the time to improper. To do this, the integer is multiplied by the denominator, to which the numerator is added. Divide this result by the denominator. The denominator of the improper fraction will be the same as the mixed number had. In summary:
[tex]a\frac{b}{c}=\frac{c*a+b}{c}[/tex]
In this case:
[tex]1\frac{1}{4}=\frac{4*1+1}{4}[/tex]
Solving:
[tex]1\frac{1}{4}=\frac{4+1}{4}[/tex]
[tex]1\frac{1}{4}=\frac{5}{4}[/tex]
On the other side, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, where a, b and c are known and x is the value to be calculated:
a ⇒ b
c ⇒ x
So:
[tex]x=\frac{cxb}{a}[/tex]
In this case, the rule of three can be applied as follows: Linda Gramham's Cinnamon Sugar Graham Cupcake recipe for 36 cupcakes requires [tex]1\frac{1}{4}=\frac{5}{4}[/tex] cups of sugar. If 900 cupcakes are made, how much sugar is required?
36 cupcakes ⇒ [tex]\frac{5}{4}[/tex] cups of sugar
900 cupcakes ⇒ x
Then:
x= (900 cupcakes× [tex]\frac{5}{4}[/tex] cups of sugar)÷ 36 cupcakes
Solving:
x= [tex]\frac{125}{4}[/tex] cups of sugar
In summary,[tex]\frac{125}{4}=31\frac{1}{4}[/tex] cups of sugar is required for 900 cupcakes.
Learn more whit this similar problem:
https://brainly.com/question/23272271?referrer=searchResults
Two kids at a summer camp, Tina and Winston, are competing in a potato sack race. Tina is younger, so she is given a head start of 33 meters. When the race starts, Tina hops at a rate of 1 meter per second, and Winston hops 4 meters per second. Eventually, Winston will overtake Tina. How long will that take? How far will Winston have to hop? It will take ___ seconds for Winston to hop ___ meters and catch up to Tina.
Answer:
It will take Winston 11 seconds to hop 44 meters and catch up to Tina
Step-by-step explanation:
Set up an equation where x represents the number of seconds:
Tina will be represented by s + 33 since she goes 1 m/sec and she has a 33 meter head start, and Winston will be 4s. We need to find when Winston will catch up, so we need an equal sign.
s + 33 = 4s
Solve for s:
s + 33 = 4s
33 = 3s
11 = s
= 11 seconds
Then, plug in 11 as s to find how many meters he will go:
s + 33
11 + 33 = 44
= 44 meters
Melinda worked 6.5 hours at her job. She makes $9.50 per hour. How much money did she earn for the day ?
Answer:
$61.75
Step-by-step explanation:
Hello,
If Melinda earns $9.50 per hour and she worked 6.5 hours, then her earnings for that day was $61.75.
This is simply the product of $9.50 * 6.5 = $61.75.
This assumption of earnings doesn't include tax reductions, unless her hourly pay includes those.
Cheers.
The points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions.
Answer:
true
Step-by-step explanation:
because the question is he points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions. then it would equal 0
Answer:
Its because one is a positive integer and the other is a negative. So basically it is 3-3=0
Step-by-step explanation:
what's -5 x -0.25? I don't know how to show the work
Answer:
1.25
Step-by-step explanation:
-5 x -.20 = 1
+
-5 x -.05 = .25
= 1.25
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
yes. 7 times 4.3 is equal to 30 and the first equations symbol is less then or equal to. good luck and hope this helps!
Step-by-step explanation: