The linear function for the depth of water after t hours is given by:
[tex]d(t) = 17 - 1.5t[/tex]
The format of a linear function is given as follows:
[tex]d(t) = d(0) - at[/tex]
In which:
d(0) is the y-intercept, which is the initial value.a is the slope, which is the rate of change.The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour, which means that [tex]a = -1.75[/tex], thus:
[tex]d(t) = d(0) - 1.5t[/tex]
The depth after 6 hours of draining is 8 feet, which means that when [tex]t = 6, d(t) = 8[/tex]. This is used to find d(0).
[tex]d(t) = d(0) - 1.5t[/tex]
[tex]8 = d(0) - 1.5(6)[/tex]
[tex]d(0) = 17[/tex]
Then
[tex]d(t) = 17 - 1.5t[/tex]
A similar problem is given at https://brainly.com/question/16302622
11
W20
A ice cream cone cost $3 plus an additional $0.50 per scoop. James pald a total of $4.50, which equation below
models this situation.
4.50 + 0.50x = 3
0.50x + 3 = 4.50
0.50x = 7.50
3x + 0.50 = 4.50
Answer:
B: 0.50x + 3 = 4.50
Step-by-step explanation:
James needed an additional 3 scoops so the x would have to be on $0.50. the $3 is what the cone cost so it has to be with the scoop price. $4.50 is the total price of the ice cream so that would be on the other side of the equal sign, resulting in 0.50x + 3 = 4.50
PLEASE HELP
Given f(x) = x^2 – 5x + k, and the remainder when f(x) is
divided by x - 7 is 34, then what is the value of k?
Step-by-step explanation:
f(7) = 34
7² -5(7) +k = 34
49-35+k =34
14+k = 34
k = 34-14
k = 20
__________
[tex] \: [/tex]
f(x) = x² - 5x + k
f(7) = 34
Soo :
f(7) = 34
(7)² - 5(7) + k = 34
49 - 35 + k = 34
14 + k = 34
k = 34 - 14
k = 20✔
Antonio works as a furniture salesman and earns a bace salasry of 450$ per week plus 6% commision on sales. What was antonios weekly commission if his total sales was 3750?
Answer:
$ 198
Step-by-step explanation:
450 + 0.06x = 3750
0.06x = 3750 - 450
x = (3300 * 0.06) = 198
x = 198
Please solve this for me.
Answer:
DG = 7z - 5
Step-by-step explanation:
In order to find DG, you add DE and GE.
En un aeropuerto dos aviones A1 y A1 se acercan para aterrizar, si la ecuación de la trayectoria del primero es -x+2y-100=0, mientras que la ecuación de la trayectoria del segundo es de –x+200 +2y, determina si existe el riesgo de que sufran un choque entre ellos.
No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.
-------------------------
La trayectoria del primero es:
[tex]-x + 2y - 100 = 0[/tex]
[tex]x_1 = 2y - 100[/tex]
Para el segundo, tiene-se que:
[tex]-x + 200 + 2y = 0[/tex]
[tex]x_2 = 2y + 200[/tex]
Igualando los valores de x:
[tex]x_1 = x_2[/tex]
[tex]2y - 100 = 2y + 200[/tex]
[tex]0y = 300[/tex]
No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.
Un problema similar es dado en https://brainly.com/question/24653364
y=2x =2 and y2= 4x+4
Answer:
x=−2
y=−4
y² =−2
Step-by-step explanation:
Im going to assume youre saying to compare the two
if so, then theyre the same equation/line
2y =4x +4 is the same y = 2x + 2 since 2y = 4x + 4 is just y=2x+2 but everything is multiplied by 2
hope this helps :)
Please help provide the product in standard form !!
Answer:
x^3+4x^2+5x+2
Step-by-step explanation:
HELPPPPPP PLEASEEEEEE FASTTTT
A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing 12$ is displayed by the store manager at a selling price of 8$. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
please help me in really stuck you would be a huge help
Answer:
Step-by-step explanation:
12$ = original price (need to add 67% mark up)
12/100 = 0.12 = 1%
0.12 x 67 = $8.04 markup
12 + 8.04 = $20.04 is the correct selling price
the error was accidently not adding the markup ($8.04) to the original price
What is the rate of change of the function represented by the table?
x
y
1
–8.5
2
–6
3
–3.5
4
–1
–2.5
–1
1
2.5
Answer:
Skip this answer.
Just guess one of the answers
Step-by-step explanation:
11=-5x-2 plzzzzzzzzzz help...
Answer:
-5x-2=11
+2
-5x=9
÷-5
x=1.8
Step-by-step explanation:
Answer:
x = -2.6
or x=-2 and 3/5
Step-by-step explanation:
Simplifying
11 = -5x + -2
Reorder the terms:
11 = -2 + -5x
Solving
11 = -2 + -5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5x' to each side of the equation.
11 + 5x = -2 + -5x + 5x
Combine like terms: -5x + 5x = 0
11 + 5x = -2 + 0
11 + 5x = -2
Add '-11' to each side of the equation.
11 + -11 + 5x = -2 + -11
Combine like terms: 11 + -11 = 0
0 + 5x = -2 + -11
5x = -2 + -11
Combine like terms: -2 + -11 = -13
5x = -13
Divide each side by '5'.
x = -2.6
Simplifying
x = -2.6
7. Solve.
The difference between 4 times a number and 6 is 18.
O
n = 24
n = 6
n
24
4
n = 4
Answer:
6
Step-by-step explanation:
Let the number be " n ".
4 times a number,
= 4n
The difference between 4 times a number and 6
= 4n - 6
The difference between 4 times a number and 6 is 18,
4n - 6 = 18
4n = 18 + 6
4n = 24
n = 24 / 4
n = 6
The value of "n" that satisfies the equation is n = 6.
Option B is the correct answer.
We have,
To solve the equation "The difference between 4 times a number and 6 is 18," let's define the unknown number as "n."
The difference between 4 times the number and 6 can be expressed as "4n - 6."
According to the given equation, this expression equals 18:
4n - 6 = 18
To solve for "n," we will isolate the variable by performing the necessary algebraic steps:
Add 6 to both sides of the equation:
4n - 6 + 6 = 18 + 6
This simplifies to:
4n = 24
Next, divide both sides of the equation by 4 to isolate "n":
(4n) / 4 = 24 / 4
This simplifies to:
n = 6
Therefore,
The value of "n" that satisfies the equation is n = 6.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
What is the distance between point A(−1, 3) and point B(−8, 3) ?
2 units
5 units
7 units
9 units
Answer:
7 units
Step-by-step explanation:
Answer:
7 units
Step-by-step explanation:
d = √(x2-x1)²+(y2-y2)
d = √((-8-(-1)² - (3-3)²
d = √ (-7)²-0
d = √49
d = 7 units
convert 11/15 to a repeating decimal
Answer: 11/15 as a decimal is 0.73333333333333.
Step-by-step explanation:
Which benchmark fraction is 6/7 closest to PLZ HELP
PLEASE HELP I"M ON A TIMER!!!!!!
Δ RST ≅ ΔLMN
What are the values of m∠R and LM?
Enter your answers in the boxes.
I will mark BRAINLIEST!!!
Answer:
R=30 degrees Lm=6(square root of 3)
Step-by-step explanation:
R=L
LM=SR
I need help on this math it’s 7th grade
Answer:
4 times as long
Step-by-step explanation:
If im wrong, delete this.
Answer:
The wavelength of red light is 2 times longer than the wavelength of violet light.
Step-by-step explanation:
8 times 10^-7 written in standard form is 0.0000008
4 times 10^-7 written in standard form is 0.0000004
divide both of them:
=2
someone hurry i need to know this question
Answer:
- 9/35
Step-by-step explanation:
Pls answer ASAP timed assignment
Answer:
C) Point B is a reflection of point A along the Y-Axis
Step-by-step explanation:
I plotted it on a graph, and it turned out to be an exact mirror reflection.
Hope This Helped!
leni can decorate the room in 4 hours. her sister lucy do the same jobin 3 hours working together, how long will take them to finish the job
Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]
Where:
x = Numerator
y = Denominator.
It will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.
To solve the above question, we would be applying the operations of the addition of fractions.
From the question,
Leni can decorate the room in 4 hours. This means in 1 hour, Leni can paint 1/4 of the room.
Lucy, her sister can decorate the room in 3 hours. This means in 1 hour, lucy can decorate 1/3 of the room.
Let us represent the number of hours it will take them both to decorate the room working together as "T"
Hence,
1/T = 1/4 + 1/3
Lowest Common Denominator for (3, 4 ) = 12
Hence,
1/T = 3 + 4 / 12
1/T = 7/12
Find the reciprocal of both sides
T = 7/12 hours or can be expressed in decimals as 0.583 hours.
Therefore, it will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.
To learn more, visit the link below;
https://brainly.com/question/13652749
Help would be appreciated!
Please explain how you got the answer c:
Answer:
-25
Step-by-step explanation:
Reading the expression:We're given the sigma notation of a series.
[tex] \mathsf{ \sum _{k = 1} ^{5}(2k - 11) }[/tex]
The variable k is the "index of notation"
The expression can be read as the sum of (2k- 11) as k goes from 1 to 5.
"To generate the terms of a series given in sigma notation, successively replace the index of summation with consecutive integers from the first value to the last value of the index" ~internet
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Generating the terms of the series:To generate the terms of the series given on sigma notation above, replace k by 1, 2, 3, 4, and 5 and add the terms, to get the answer to the given notation.
[tex]\mathsf{ \sum _{k = 1} ^{5}(2k - 11) } \\ = \mathsf{ \overline{2(1) - 11} + \overline{2(2) - 11} + \overline{2(3) - 11} } \\ \mathsf{ + \overline{2(4) - 11} + \overline{2(5) - 11}}[/tex]
[tex] = \mathsf{\overline{2 - 11} +\overline{4 - 11} + \overline{6 - 11} } \\ \mathsf{\overline{8 - 11} + \overline{10- 11}}[/tex]
[tex] = \mathsf{ - 9- 7 - 5 - 3 - 1}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Final Answer:[tex] \mathsf{ \underline{- 25}}[/tex]
______________________
[tex] \mathfrak{ \overline{There \: You \: Are!}}[/tex]
Let's see
[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^2_{k=1}}}(2k-11)[/tex]
k=1,2,3,4,5[tex]\\ \rm\Rrightarrow 2(1)-11+2(2)-11+2(3)-11+2(4)-11+2(5)-11[/tex]
[tex]\\ \rm\Rrightarrow 2-11+4-11+6-11+8-11+10-11[/tex]
[tex]\\ \rm\Rrightarrow 30-55[/tex]
[tex]\\ \rm\Rrightarrow -25[/tex]
A function has zeros at -5, 1, and 3.,
f(-7), f(-3), and (4) are negative. f(2) is
positive. Sketch a graph of f.
Answer:
Step-by-step explanation:
Haa
Square root of 15 rounded to the nearest tenth
Answer:
3.9
√15=3.87298334... so rounded to the tenth is 3.9
Juan graphed a line with a slope of -23
How does Juan count the slope from any point on the graph?
a. From any point on the graph, he counts down 2 then right 3 to end up on the line again.
b. From any point on the graph, he counts up 2 then right 3 to end up on the line again
c. From any point on the graph, he counts down 2 then left 3 to end up on the line again.
d. I don't know.
Answer:
a. From any point on the graph, he counts down 2 then right 3 to end up on the line again.
Step-by-step explanation:
The slope is -2/3.
-2/3 = 2/-3
slope = rise/run
rise/run = -2/3
Count down 2 and right 3.
rise/run = 2/-3
Count up 2 and left 3
Answer: a. From any point on the graph, he counts down 2 then right 3 to end up on the line again.
(8,-2) after a translation right 5 units and up 2 units?
Whats the answer
Answer:
（13,0)
translation：
[tex]( \frac{5}{2} )[/tex]
The speed of sound is about 3.4 x 10^2 meters per second. Mark is performing a science experiment and he needs to know how far sound travels in
3 x 10^10 seconds. If mark uses a calculator to solve his problem, how will the calculator show his answer?
Answer:
no it will not show the awning and powerful than you HA the same time as an event on Friday and powerful than you HA
Unit Rate
Mr. Park paid $79.00 for 5 shirts.
What was the cost of each shirt in
dollars and cents?
Answer:
$15.80
Step-by-step explanation:
Given:
5 shirts for $79
Work:
79/5 = 15.80
Can you help me please.
Answer:
can you take a better photo?
Step-by-step explanation:
Full view of the picture please
what is the degree of polynomial ? f(x)=(x+6) (x_3) power of 2
Answer:
the degree = 4
Step-by-step explanation:
[(x+6)(x-3)]²
= x⁴+6x³-27x²-108x+324
solve this table
will give brainliest
Answer:
For linear function, top to bottom, it's:
f(x)
b
a
x
For mathematical meaning, top to bottom, it's:
output value of an equation
y-intercept
slope or common difference
input value of an equation
Step-by-step explanation: