Answer:
6 hours
Step-by-step explanation:
$25 + $7.50x = 70
first subtract the flat fee of 25 from 70 to get $45.
then divide 45 by $7.50 to get the total hours spent
45 divided by 7.50 is 6
Hope this helps!
What is the rate of change of the function represented by the table
Please help me, I have too many points and willing to give more than the lowest away.
Answer:
the inequality is +/- 3°C(if this refuses in the computer,try writing +/- T)
range from 34 to 40.
The Montanez family is a family of four people. They have used 3,485.78 gallons of water so far this month. They cannot exceed 7,250.50 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.
Answer: yes
Step-by-step explanation:
this month 3485.78/4 = 871.445 gallons per person
Drought month 7250.50/4 = 1812.625
difference 7250.50 - 3485.78 = 3764.72
Solve the differential equation y" + 3y' + 2y = P1 where, y" = d2y/dx2, y' = dy/dx, P1 = P1(x)) and the initial conditions are y(0) = 0, y'(0) = 0. The input function is given by P1() = { 0, < 0 1, 0 ≤ ≤ 1 0, > 1
Answer:
[tex]y(x) = 0[/tex]
Step-by-step explanation:
Let P(1) = 0, the differential equation becomes:
y" + 3y' + 2y = 0
Also let y' = my and y'' = m²y
Substitute
m²y+3my+2y = 0
(m²+3m+2)y = 0
The auxiliary equation is expressed as:
m²+3m+2 = 0
Factorize
m²+2m+m+2 = 0
m(m+2)+1(m+2) = 0
(m+1)(m+2) = 0
m+1 = 0 and m+2 = 0
m₁ = -1 and m₂ = -2
Since the value of m is real and distinct, the solution to the differential equation will be expressed as:
[tex]y = C_1e^{m_1x}+C_2e^{m_2x}\\[/tex]
[tex]y(x) = C_1e^{-x}+C_2e^{-2x}\\[/tex]
Given the initial condition y(0) = 0
[tex]y(0) = C_1e^{-0}+C_2e^{-2(0)}\\0 = C_1+C_2\\C_1+C_2 = 0 ................. 1[/tex]
If y'(0) = 0
[tex]y'(x) = -C_1e^{-x}-2C_2e^{-2x}\\y'(0) = -C_1e^{-0}-2C_2e^{-2(0)}\\0 = -C_1-2C_2\\C_1-2C_2 = 0...................... 2[/tex]
Solve eqn 1 and 2 simultaneously
From 1:
C₁ = -C₂ .......... 3
Substitute equation 3 into 2:
-C₂-2C₂ = 0
-3C₂ = 0
C₂ = 0
Substitute the constant into the differential equation.
[tex]y(x) = C_1e^{-x}+C_2e^{-2x}\\\\y(x) = 0[/tex]
The height, hh, of a plant (in inches) ww weeks since it was planted is represented by the equation h=1.2w+3h=1.2w+3. How many weeks ( round up to the nearest whole number) will it take the plant to reach one foot? ( Hint: convert feet to inches.) Answer value
Answer:
It will take 8 weeks for the plant to reach one foot.
Step-by-step explanation:
The equation is:
[tex] h = 1.2w + 3 [/tex]
Where:
h: is the height = 1 foot
w: is the time in weeks =?
We can convert feet to inches as follows:
[tex] 1 feet = 12 inches [/tex]
[tex] h = 1 ft*\frac{12 in}{1 ft} = 12 in [/tex]
Hence, the number of weeks is:
[tex] w = \frac{h - 3}{1.2} = \frac{12 - 3}{1.2} = 7.5 = 8 [/tex]
Therefore, it will take 8 weeks for the plant to reach one foot.
I hope it helps you!
slope (M)= rise/run=y/x=(y2-y1)/(x2-x1)
1a. (1,2) and (7,9)
1b. (5,-1) and (0,3)
1c. (12,5) and (9,8)
Answer:
1a. 7/6
1b. -4/5
1c. -1
Step-by-step explanation:
1a. 9-2/7-1 = 7/6
1b. 3--1/0-5 = 4/-5 = -4/5
1c. 8-5/9-12 = 3/-3 = -3/3 = -1
Answer:
1a. 7/6
-----------------------
1b. -4/5
-----------------------
1c. -1
Find the distance between the points -6.2 and -9.8.Show your work for full credit.
Answer:
it is 3.6
Step-by-step explanation:
it's in the pictures below.
Janice wants to find the area of a square tabletop.She uses the formula for the area of a square: A=s2, where s is the length of one side of the square.If s= 3 feet what is the area of the tabltop
Answer:9
Step-by-step explanation:
You said that the areas is one side multiplied by 2. If one side (S) is 3, then 3 x 3 = 9.
if y=28 when x=168, find y when x=108.
Answer:
y=18
Step-by-step explanation:
168/28=6
108/6=18
y=18
Mike has a $1750 credit card balance. His father wants to help. He pays off ¼ of Mike’s debt. Write an expression to represent Mike’s new balance.
3 ¼= 3.25 and 9 ¼ = 9.25
9.25-3.25=6
Answer: 6
The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by latex of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?
Complete question :
The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?
Answer:
-6°F
Step-by-step explanation:
Temperature at 5am (t1) = - 6°F
Temperature at 3pm (t2) = 36°F
Change in temperature, between 5am and 3pm:
(t2 - t1) = (36 - (-6)) = (36 + 6) = 42°F
Hence, temperature at 8:00 pm:
High temperature - change in temperature between (5am - 3pm)
36°F - 42°F = - 6°F
A kennel owner has 400 feet of fencing to enclose a rectangular dog exercise pen. Express the area of the exercise pen, A, as a function of one of its dimensions, x. A(x) = x(x - 200) A(x) = x(x - 200) A(x) = x(400 - x) A(x) = x(400 - x) A(x) = x(200 - x) A(x) = x(200 - x) A(x) = (200 - x)2
Answer:
A(x) = x(200-x)
Step-by-step explanation:
400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet
If x is length and y is breadth. Perimeter is given by :
P = 2(x+y)
400 = 2(x+y)
⇒ (x+y) = 200 .....(1)
y = 200-x
Area of a rectangle is given by :
A = xy
A(x) = x(200-x)
Hence, the area as a function of length of rectangle is x(200-x).
So, the additive inverse of -7/8 is
Answer:
Im prett sure its 7/8
Step-by-step explanation:
The additive inverse of a number is a number that, when added, goes to zero. For example, 7 is -7 because when added it equals 0 (or 7-7)
Please help if you can!! I would appreciate it alot!
People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?
Answer:
44%
Step-by-step explanation:
1144 is 44 percent of 2600
Your friend says that there is an angle whose measure is the same as the measure of the sum of its supplement and its complement.
Is your friend correct? What is the measure of the angle?
Let's check:
Let the angle be x
It's complement is 90-x
It's supplement is 180-x
x = 90 - x + 180 - x
x = 270 - 2x
3x = 270
x = 90
So the angle is 90, it's complementary is 0 and it's supplementary is 90... so 90 = 0 + 90
HELP! will mark branniest answer!
Answer:
X=-7
Step-by-step explanation:
X+37+x+67=90
2x+104=90
2x=-14
X=-7
help me plzzzzzzzzzzzzzzzzzzzzz
Answer:
$1.25
Step-by-step explanation:
10-2.50=7.5
7.5/6=1.25
hope this helps :3
Answer: $1.25
Step-by-step explanation:
10-total
(1 notebook)-2.50, 6 pens
10-2.50=7.50
7.50/6(pens)=1.25
Which of these functions could have the graph shown below?
it's the first one it's the f (x) =40x
translations: 1 unit left and 4 units up
F(2,-2), G(3,0), H(4,3)
Answer:
F(-1,2), G(2,4), H(3,7)
Step-by-step explanation:
When you move left to right, it changes the x in (x,y)
When you move up and down, it changes the y in (x,y)
So, if it moves 1 unit to the left, the x decreases by 1
And if it goes 4 units up, the y increases by 4
Eleanor was looking to save money and make her home more energy efficient. She heard about LED
light bulbs but wanted to calculate the actual cost per year before buying them. Eleanor found that
incandescent bulbs cost $0.01 per hour in electricity, while LED's cost $0.0022 per hour. If the average
home has 65 light bulbs and has their lights on for 4 hours per day, what is the savings for 1 year for
Eleanor to switch all of her light bulbs to LED's?
CAN SOMEONE HELP!!! plssss
Answer:
2 jugs
Step-by-step explanation:
1/3 + 1/3 is 2/3
Answer:
2 mugs
Step-by-step explanation:
A skydiver falls 60 feet in five seconds. How far does the skydiver fall per
Second
Answer:
12 feet
Step-by-step explanation:
60/6 = 12
Answer:
8 feet per 1 second
(without drag or windcurrents)
Step-by-step explanation:
60÷5=8
Criss cross algebra
Question : what is =
7/3 = N/21
Answer:
n=49
Step-by-step explanation:
Mr. Shaw graphs the function f(x) = -5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope
form of the equation of the line he graphed?
Oy - 12 = -5(x + 2)
Oy - 12 = 2(x + 2)
O y + 12 = 2(x - 2)
O y + 12 = -5(x - 2)
Answer:
The first choice is correct. y-12=-5(x+2)
Step-by-step explanation:
Point-Slope Form of a Line
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
The equation of the line in slope-intercept form is:
y=mx+b
Where b is the y-intercept.
Mr. Shaw graphs the function y=f(x)=-5x+2
The coefficient of the x can be identified as the slope m=-5. We are given the point (-2,12) to build the point-slope form of Mr. Shaw's line as follows:
y-12=-5(x+2)
The first choice is correct. y-12=-5(x+2)
Answer:
a
Step-by-step explanation:
i took test
Big Time Movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. On holidays, they charge 2.5 times their regular total amount. If they made $188.75 on a job on New Year’s Day, how many hours did they work?
This equation represents the data:
2.5(12.75x + 24.50) = 188.75
Big Time Movers worked
hours on New Year’s Day.
Passage:
Big Time Movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. On holidays, they charge 2.5 times their regular total amount.
Question:
If they made $188.75 on a job on New Year’s Day, how many hours did they work?
Answer:
Big Time Movers worked "4" hours on New Year’s Day.
Step-by-step explanation:
I did the instruction on edge 202 and got it right
convert .932 into a fraction
Answer:
932/1000
Step-by-step explanation:
To write .932 as a fraction you have to write .932 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
.932 = .932/1 = 9.32/10 = 93.2/100 = 932/1000
And finally we have:
.932 as a fraction equals 932/1000
Answer:
923/1000
im not sure if this is right -
Step-by-step explanation:
Which of the following lines is perpendicular to the equation given below?
y = -2x + 8
2x + y = 4
2x + y = 4
x - 2y = 6
x - 2y = 6
2x - y = 1
2x - y = 1
x + 2y = 8
the anser is
x- 2 y =6
x- 2 y =6
thats iit
A worker takes 1 day to fill 4 crates how long will it take to fill 160 crates
Answer:
40
Step-by-step explanation:
divide, so 160 divided by 4 equals 40
PLEASE HELP!! DUE SOON
Which inequality is represented by this graph?
Answer: C
Step-by-step explanation: