Answer:
slope = 7
Y intercept = 2
Step-by-step explanation:
Plz answer plz plz plz
Step-by-step explanation:
8. 3x + 2 < or = 5
3x < or = 5 - 2
3x < or = 3
x < or = 1
0 and 1 you have to look at the conditions x ...W
You are tasked with constructing a rectangular box with a square base, an open top, and a volume of 184 in3. Determine what the dimensions of the box should be to minimize the surface area of the box. What is the minimum surface area? Keep your answer in radical form and omit units.
Answer:
7.17 by 7.17 by 3.58
Step-by-step explanation:
Since the rectangular box is square based, the total surface area is expressed as;
S = x²+2xh+2xh (the top is opened)
S = x² + 4xh ..... 1
x is the side length of the square
h is the height of the box
Also the volume V = x²h
Given V = 184
184 = x²h
h = 184/x² .... 2
Substitute 2 into 1;
S = x² + 4xh
S = x² + 4x(184/x²)
S = x² + 4(184/x)
S = x² + 736/x
Since we need a dimension that will minimize the surface area of the box then, dS/dx = 0
dS/dx = 2x -736/x²
0 = 2x -736/x²
multiply through by x²
0 = 2x³- 736
2x³ = 736
x³ = 736/2
x³ = 368
x = ∛368
x= 7.17 in
Since V = x²h
184 = 7.17²h
h = 184/7.17²
h = 184/51.4089
h = 3.58 in
Hence the dimensions of the box should be to minimize the surface area of the box are 7.17 by 7.17 by 3.58
a bathtub is draining at a consistent rate. after 2 minutes, it holds 28 gallons of water. three minutes later, it holds 7 gallons of water. write an equation that represents the number y of gallons of water in the tub after x minutes.
Answer:
y = 42 - 6 x
Step-by-step explanation:The slope-intercept formula is:
y = m x + b,
or: y = b - m x, since the rate is negative.
For the 1st formula we have: y = 30 and x = 2
For the 2nd formula: y = 12 and x = 5 ( because: 5 = 2 + 3, or : 3 minutes later, which can be confusing )
30 = b - 2 m
12 = b - 5 m
--------------------
b = 30 + 2 m
12 = 30 + 2 m - 5 m
3 m = 18
m = 18 : 3 = 6
b = 30 + 2 * 6 = 30 + 12 = 42
y = 42 - 6 x
Find the 13th term for the sequence {7, 12, 17, 22, 27}
Answer:
67
Step-by-step explanation:
its going up by 5 each time. i just counted that until i got to the thirteenth number. it also seems to be going with the numbers with a "2"or "7" in it. hope this helps!
Answer:67
Step-by-step explanation:
7+5=12 12+5=17 17+5= 7,12,17,22,27,32,37,42,47,52,57,62,67
which which expression is equivalent to 3(8+7)
..........
Answer:
24+21
Step-by-step explanation:
you multiply both the numbers in the parentheses by 3
Answer:
Step-bypass you have to do it on the
if i were to read 3 pages a day how many would i have read in 75 days
Answer:
225 pages in 75 days. hope this helped!
Step-by-step explanation:
Answer:
75*3 or 225
Step-by-step explanation:
3 pages per day the 75 days it's 75*3 which is 225
Hope this helps plz mark brainliest if correct :D
Find all values of t such that 6t-2/3+t/5=4+2-t/3.
If you find more than one answer, enter every answer you find as a list separated by commas.
PS the 2-t at the end is all over 3
Step-by-step explanation: need to find a basis for the solutions to the equation Ax = 0. To do ... From this we can read the general solution, x = ⎡. ⎢ ... two vectors are clearly not multiples of one another, they also give a basis. So ... 4.4.14 The set B = {1 − t2,t − t2,2 − 2t + t2} is a basis for P2. ... x1(1 − t2) + x2(t − t2) + x3(2 − 2t + t2)=3+ t − 6t2.
slope: 3, y-intercept; 10
Answer:
y = 3x + 10
Step-by-step explanation:
Given that,
Slope = 3
y intercept = 10
We need to write an equation of a line.
The slope-intercept form of a linear equation is given by :
y = mx + b
Where
m is slope and b is y-intercept
Putting all the given values,
y = 3x + 10
Hence, the required equation is "y = 3x + 10"
Simplify the expression
2x + 15 - 3x + 8
Answer:
-x + 23
Step-by-step explanation:
you add like terms together, so 2x - 3x = -x
then 15+8 is 23
so you're left with -x+23
BRAINLIEST IF CORRECT + 50 POINTS
The zeros of a parabola are 6 and −5. If (-1, 3) is a point on the graph, which equation can be solved to find the value of a in the equation of the parabola?
A: 3 = a(−1 + 6)(−1 − 5)
B: 3 = a(−1 − 6)(−1 + 5)
C: −1 = a(3 + 6)(3 − 5)
D: −1 = a(3 − 6)(3 + 5)
Answer:
B:3=a(-1-6)(-1+5)
Step-by-step explanation:
The zeroes are 6 and -5 so we can write it as y=a(x-6)(x+5)
Now the point(-1,3) is on the line so substituting for x and y:
3=a(-1-6)(-1+5)
Pls mark brainliest
Answer:
The answer is 3 = a(−1 − 6)(−1 + 5)
Step-by-step explanation:
I took the quiz and got this correct and it makes the most sense.
what is the equation for The sum of 15 and n is less than or equal to 8.
Please help me with this...it’s 2am and I still have 3 more assignments...thank you
Answer:
maybe y= 9 because side A B is 10 and side C D is almost the same just sleep slightly shorter.
-. A fish is swimming at a constant rate toward the ocean floor-
The equation y = -7x – 3 can be used to represent this
situation, where y is the depth of the fish in meters below
sea level and x is the number of seconds the fish has been
swimming.
Which statement best describes the depth of the fish, given
this equation?
Answer:
b
Step-by-step explanation:
this guy did not put anything so i did
The equation represents from starting position of 3 meters below sea level, the fish is descending 7 meters per second. Then the correct option is C.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
A fish is swimming at a constant rate toward the ocean floor. The equation y = – 7x – 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
The equation represents from starting position of 3 meters below sea level, the fish is descending 7 meters per second. Then the correct option is C.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ5
The complete question is attached below.
PLSSSSS HELP ME!
The sum of two numbers is 55 and the difference is 23. What are the numbers?
Select all expressions that are equivalent to 64.
A. 2⁶
B. 2⁸
C. 4³
D. 8²
E. 16⁴
F. 32²
Select all expressions that are equivalent to 3⁴.
A. 7
B. 4³
C. 12
D. 81
E. 64
F. 9²
The language arts teacher wants to know whether the students in the entire school prefer a debate or a speech. The teacher draws a random sample from the following groups:
A - All teachers in the school
B - All boys in each grade
C-All students in the speech club
D-All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey?
Answer:
d- all students from each grade
Step-by-step explanation:
Answer:
D, all students in each grade.
Step-by-step explanation:
If you did a random sample from the students in the speech club it will be biased because they will probably all say giving speeches because they are in the speech CLUB. You cannot do the teahcers because their answers will also be biased. If you do all the boys in each grade it will be biased only to what boys like and not girls or any other student in the grade. Therefore, using the process of elimination, the answer is D, you should take a random sample of all the students in each grade.
type the integers that makes the following addition sentence true + (-11) + 12=-16
Answer:
The answer is -17.
Step-by-step explanation:
-17+(-11)+12=
-17+(-11)=-28+12= -16
Answer:
the answer is -15 so this statement is false sry if I didn't answer what u needed
Step-by-step explanation:
The way I figure it out is by a timeline but with numbers. zero goes in the middle and numbers going right are and numbers going left are negitive.
Which of the following statements is true of -4 and 4?
They are equivalent
They are the same distance from zero
They are opposites
They are a zero pair
Answer:
dn
Step-by-step explanation:
Una compañía suministra electricidad. Cobra $100 mensuales fijos más 15 centavos por kilowatt hora. En los primeros 400 kilowatts suministrados en el mes y cobra 12 centavos por cada kilowatt hora que pase de 400 kilowatts en el mes. ¿Cuál es la función que define al costo?
Answer:
La función resultante es una función a trozos:
[tex]C_{T}(x) = \left\{\begin{array}{cc}100+0.15\cdot x,\,0\le x \le 400\\112+0.12\cdot x,\,x> 400\\\end{array}[/tex]
Step-by-step explanation:
El coste total de la electricidad suministrada ([tex]C_{T}[/tex]), medida en pesos, es la suma del coste fijo ([tex]C_{F}[/tex]) y el coste variable ([tex]C_{V}[/tex]), medidas en pesos.
[tex]C_{T} = C_{F}+C_{V}[/tex] (1)
Ahora, tenemos que el coste fijo es $ 100 mensuales, así:
[tex]C_{F} = \$ \,100[/tex] (2)
Y el coste variable considera que se cobra 15 centavos por kilowatt-hora para los primeros 400 kilowatts-hora y 12 centavos por kilowatt-hora para cada kilowatt-hora que pase de 400 kilowatts-hora en el mes:
(i) Menos o igual que 400 kilowatts-hora:
[tex]C_{V} = 0.15\cdot x[/tex] (3)
Donde [tex]x[/tex] es la electricidad suministrada en kilowatts-hora.
(ii) Mayor que 400 kilowatts-hora:
[tex]C_{V} = 0.15\cdot (400)+0.12\cdot (x-400)[/tex]
[tex]C_{V} = 12+0.12\cdot x[/tex]
La función resultante es una función a trozos:
[tex]C_{T}(x) = \left\{\begin{array}{cc}100+0.15\cdot x,\,0\le x \le 400\\112+0.12\cdot x,\,x> 400\\\end{array}[/tex]
will mark brainlest
options are no solution infirnite solutions (0,-2) and (0,2)
Answer:
Infinite solutions
Step-by-step explanation:
I converted y + 2 = -5x into y=-5x-2
The two equation are the same (coinciding lines) and therefore have the same points and they have an infinite amount of solutions.
A group of adults plus one child attend a movie at AMC. Tickets cost $9 for adults and $6 for children. The total cost for the movie is $78. How many adults attended the movie?
Answer:
8 adults
Step-by-step explanation:
1.) $78 - $6 = $72
2.) $72/$9 = 8
What is the slope of (-3, 5) and (3, -7) ?
Answer:
-2
Step-by-step explanation:
[tex]\frac{-7-5}{3-(-3)}= \frac{-7+-5}{3+3} =\frac{-12}{6} =-2[/tex]
Answer:
12/-6 or -2
Step-by-step explanation:
-3-3= -6 (run)
5-(-7)= 12(rise)
12/-6 rise over run
Someone plz answer.....
Answer:
50°
Step-by-step explanation:
angle 5 = angle 4 ( Alternative Interior Angles are equal )
But angle 3 & angle 4 are linear pairs. So,
angle 3 + angle 4 = 180°
=> angle 3 + angle 5 = 180° (angle 5 = angle 4)
=> angle 3 + 130° = 180°
=> angle 3 = 180° - 130° = 50°
Please help me vote you brainiest
Answer:
1/5 = 0.2 so, she can drink 0.1 of a gallon each day
to turn a fraction into a decimal you should do..
1/5 since 5 can't go into 1 you add a 0 to the 1 making it a 10 and move the decimal point, since 5 goes into 10, 2 times, we get 0.2
A football Stadium has 4 entrance gate and 9 exists in
how many different ways a man can enter and leave
the stadium ?
Answer:
13
Step-by-step explanation:
9+4=13
Mateo wrote the equation 8−2(3−x)=4x−2(x+1). How many solutions are there to Mateo’s equation?
Answer:
No Solutions
Step-by-step explanation:
I need help I don’t understand
Answer:
x=50
Step-by-step explanation:
A= 30+2x
B= x
Supplementary angles are angles that always add up to 180 degrees.
therefore, A + B=180 degrees
30 + 2x + x = 180: Now we solve
30 + 3x =180
subtract 30 from both sides
3x=150
divide by 3
3x/3 = 150/3
x= 50
Use the slope formula to find the missing coordinate.
7
m = T(13, 2), W_,-5)
a) -11
b) 11
c) 15
Answer:
C
Step-by-step explanation:
PLEASE HELP!!!!! WILL MARK BRAINLIEST
Answer: What I am going to do with you is first at least TRY and show the picture in which you tried. If i see that's wrong I will explain to you
Step-by-step explanation:
What’s your biggest pet peeve?
