Answer:
Step-by-step explanation:
what is a equivalent ratio of 16:18
equivalent ratio of 16:18 is 8:9
A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3as the weight density of water.)
(A water tank shaped like a triangular prism is given. The base of the prism is at the top and a spout is located at the top of the tank. The dimensions of the tank are 9 meters long, 4 meters wide, and 4 meters deep. The spout is 3 meters long.)
Answer:
W = 1.06 MJ
Step-by-step explanation:
- We will use differential calculus to solve this problem.
- Make a differential volume of water in the tank with thickness dx. We see as we traverse up or down the differential volume of water the side length is always constant, hence, its always 8.
- As for the width of the part w we see that it varies as we move up and down the differential element. We will draw a rectangle whose base axis is x and vertical axis is y. we will find the equation of the slant line that comes out to be y = 0.5*x. And the width spans towards both of the sides its going to be 2*y = x.
Given that
()=2(−3)2−8
f
(
x
)
=
2
(
x
−
3
)
2
−
8
, determine the true statement.
The x intercepts of the graph of f(x) are (1,0) and (5,0).
Group of answer choices
The range of f(x) is
≥−8
y
≥
−
8
.
The graph of f(x) is decreasing from
(3,∞)
(
3
,
∞
)
.
The graph of f(x) has a maximum point at (3, -8).
The domain of f(x) is
≥3
x
≥
3
Equations are used to show the relationship between variables (usually x and y). The true statement about f(x) is that the range of f(x) is [tex]y \ge -8[/tex]
Given that:
[tex]f(x) = 2(x - 2)^2 - 8[/tex]
To identify the true statement, I will make use of graphical method.
See attachment for the graph of [tex]f(x) = 2(x - 2)^2 - 8[/tex]
From the attached graph, we can see that the graph as a minimum at:
[tex](x,y) = (2,-8)[/tex]
And it opens upward.
This implies that the minimum y-value of f(x) is at -8, and it has no maximum.
In other words, the range of the function is:
[tex]f(x) \ge -8[/tex]
Hence, the true statement is option (a):
The range of f(x) is [tex]y \ge -8[/tex]
Read more about equations at:
https://brainly.com/question/17995541
Which equation corresponds to the following word problem?
Cory spends $6.50 on snacks at a gas station. He also buys gas, which costs $2.78 per gallon. If he spends a total of $24.00 at the gas station, how many
gallons of gas did he buy? Let g equal the number of gallons of gas.
(1 point)
O 6.509 +2.78 = 24.00
O 2.789 -6.50 = 24.00
O 6.50g - 2.78 = 24.00
2.789 +6.50 = 24.00
Answer:
Cory bought 6.30 gallons of gas at the gas station.
Step-by-step explanation:
total amount = cost of snacks + amount spent on gas
[tex]$\$ 24.00=\$ 6.50+\$ 2.78 \mathrm{~g}$[/tex]
[tex]$\$ 2.78 \mathrm{~g}=\$ 24.00-\$ 6.50$[/tex]
[tex]$\$ 2.78 \mathrm{~g}=\$ 17.50$[/tex]
[tex]$g=\frac{\$ 17.50}{\$ 2.78}$[/tex]
[tex]$g=6.30$[/tex]
Learn more about gallon refer:
https://brainly.com/question/185913524. Order the sides of each triangle from shortest to longest.
X
85°
41°
54°
W
V
1. Longest
a.
VW
2. Middle
b. WX
3. Shortest
XV
c.
Answer:
XV < XW < WV
Step-by-step explanation:
The side lengths are proportional to angles they see
The side that sees the largest angle has longest measurement and the one that sees smallest angle would be shortest therefore we can order sides from shortest to longest like this :
XV < XW < WV
Which is better to buy? 4-foot piece of ribbon for $7.68 or 544-inch piece of ribbon for $65.28
Answer:
4 foot ribbon
Step-by-step explanation:
Answer:
544
Step-by-step explanation:
$7.68 x 540 = 4,147.2
if a + 1 by a is equal to 3 find the value of bracket a minus 1 by a bracket square
a+1 = 3
To find:(a - 1)^2
[tex] {a}^{2} - 2.a.b + {b}^{2} \\ \\ a - 2a + 1 \\ \\ 1 + 1 = 2[/tex]
So, the answer is 2Hope it help youErin is buying produce at a store. She buys c cucumbers at $0.69 each and a apples at $0.89 each. What does the expression 0.69c + 0.89a represent?
The expression represents the
(select)
.
Answer:
It represents the total amount that Erin is going to spend at the store.
Step-by-step explanation:
Get it right I promise I will give brainlist answer ASAP
I hope it helps. I hope it helps
Answer:
12 unit
I hope it helps
Can you guys please help with these questions I’m extremely stuck. It’s algebra 2 inverse functions.
9514 1404 393
Answer:
The graph of a function and its inverse are reflections of each other in the line y=xFor each ordered pair (x, y) in a function, the corresponding ordered pair in the inverse function is (y, x)see the attachment for the tables of valuesStep-by-step explanation:
Consider the function and its inverse shown in the second attachment. The function is ...
f = {(a, 3), (b, 1), (c, 2)}
The inverse function is ...
f^-1 = {(3, a), (1, b), (2, c)}
You will notice that the "x" and "y" of each pair are swapped between the function and its inverse. That is the point of an inverse function. It gives you the input that caused the function to create the output. For example, the pair (3, a) in the above inverse function tells you that the output 3 was the result of an input of 'a' to the original function.
__
On a graph, the swapping of input and output is essentially equivalent to relabeling the axes. If we keep the same x- and y-axis labels, it is equivalent to reflecting the function graph across the line y=x. That reflection is represented by the transformation (x, y) ⇒ (y, x).
__
The point of the exercise here is for you to identify some ordered pairs of one of the functions and realize that the inverse function reverses their order. You are to see that the graph of the function and its inverse are reflections of each other across the diagonal line y=x.
4= 2/9x. I need help anyone
Step-by-step explanation:
4×2= 9x
8/9=x
Transposition
Answer:
x = 8/9
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
pls someone edit it and send
Step-by-step explanation:
1 & 2 are on the attachment
3 --------------
4)4x+5=17
5x+5=20
5)2x+15+85+x+20=180
3x+120 =180-120
3x=60
x=20 degrees
6)son's age=x
3x+x=48
4x=48
x=12
Therefore; son's age=12 years old
Mr.Robert age=12*3
=36 years old
Hope this helps you
If you have any question just ask me
If you think this is the best answer please mark me as brainiest
20+8
100+75
49+28
32+24
DRAG & DROP THE ANSWER
8(4+3)
25(3+4)
7(7+4)
4(5+2)
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
20 + 8
4(5 + 2)
100 + 75
25(4 + 3)
49 + 28
7(7 + 4)
32 + 24
8(4 + 3)
Answer:
Ans; 8 +20 —> 4(2+5)
Ans; 75+100 —> 25(4+3)
Ans; 28+49 —> 7(4+7)
Ans; 24+32 —> 8(3+4)
I hope I helped you^_^
Anyone know how to do this
Answer:
A B C D E MIGHT BE UR ANSWER
Jdndndnd d dndndnd d s w w wbeneneheh
Answer:
17
Step-by-step explanation:
If L and M are parallel then the angles will add up to 180 (a straight line), so:
6x+8+4x+2=180
10x+10=180
10x=170
x=17
In Exercises 9-12 solve y=f(x) for x then find the input when output is 2 9. F(x)=x+5 10. F(x)=2x-3 11. F(x)= 1/4x -1 12. F(x)= 2/3x+4
Step-by-step explanation:
Q9 . y = x + 5
x= y-5
× the input
y the output
x= -3
Q10.
y = 2x -3
y+3 = 2x
x = (y+3) ÷ 2
× = 5/2
= 2.5
Q11.
y = 1/4x - 1
y+1 = 1/4 x
4y+4 = x
x = 12
Q 12 .
y = 2/3x + 4
y-4 = 2/3x
3(y-4) = 2x
x = 3(y-4)/2
x = -3
78. How long will it take a car travelling at an
average speed of 40 mph to cover a distance of
304 miles?
Time = distance / speed
Time = 304 miles / 40 mph
Time = 7.6 hours ( 7 hours and 36 minutes)
If AB= x+4, BC=2x-10, and AC=2x+1, then find the value for x
Answer:
[tex] \boxed{x = 7} [/tex]
Step-by-step explanation:
Given:
AB = x + 4BC = 2x – 10AC = 2x + 1We can illustrate this relationship as:
(2x + 1)
___↑___
| |
A — B — C
|____|___|
↓ ↓
(x + 4) (2x – 10)
_______________________________
When you are given an algebraic expression for the length of a segment, you can solve for that value by knowing that the sum of two segments AB + BC = AC.
Thus:
(x + 4) + (2x – 10) = (2x + 1)
[Regroup terms]
(x + 2x) + (4 – 10) = (2x + 1)
[Simplify]
(3x – 6) = (2x + 1)
[subtract 2x from both sides to isolate the variable]
(3x – 6) – 2x = (2x + 1) – 2x
[Regroup terms]
(3x – 2x) – 6 = (2x – 2x) + 1
x – 6 = 1
[Add 6 to both sides to isolate the constant]
x – 6 + 6 = 1 + 6
[Simplify]
x = 7
Solve the equation z^4+4z^2+16=0
Answer:
As this is a quartic equation, we should expect four roots (although some may end being repeated). Notice also that the equation is symmetrical, which suggests that there might be an element of symmetry in the answer.
First, as this equation is a quadratic in terms of z2 , we can use our formula for finding the roots of a quadratic equation to give the value(s) of z2 . [If you have a problem seeing this, use the substitution y=z2 , and you get a quadratic in y .]
z2=−4±42−4×1×16√2×1=−4±16−64√2
=−4±−48√2=−2±12−−√i=−2±23–√i
=4(−12±3√2)i
=4(cos(2kπ3)+isin(2kπ3)) , where k∈1,2
=4e2kiπ3
As this is the value of z2 , whereas we want z , we need to take the square roots of both sides
z=4–√ekiπ3+nπ , where n∈0,1
=2e(k+3n)iπ3
=2cis((k+3n)iπ3)
As we have two values of k and two values of n , this gives us four solutions.
Writing these angles in terms of degrees, we have: 60, 120, 240 and 300
Evaluating, we end up with the four solutions
z=1±3–√i∪z=−1±3–√i
You can substitute z^2 = x,
Then you get x^2+4x+16=0
Step-by-step explanation:
z=1±3–√i∪z=−1±3–√i
You can substitute z^2 = x,
Then you get x^2+4x+16=0
Then you can use classical x1,2 = (-b +- √[b^2–4ac])/2a
X1,2=(-4+-√[16–16*4])/2
After you solve that you substitute back z^2 = x
How to numerically write five and eight then multiply by 4
Answer:
5 + 8 × 4
Assuming "five and eight" means 5 + 8
Help please will mark brainliest
Answer:
c no is correct pls mark me branilest
Answer:
(x, y) = (y, x). Exercise 1.3.4. Let X,Y,Z and W be nonempty sets. Then, prove the following statements
Solve 2x + 4 = 12.
O A. x = -4 and x = -8
O B. x = -4 and x = 8
O C. x = 4 and x = -8
O D. x = 4 and x = -4
If ; | 2x+4|=12 —> x = 4 , x = – 8 —> The choose C.
If ; | 2x | +4=12 —> x =4 , x = – 4 —> The choose D.
I hope I helped you^_^
Find the probability that a student earns a grade of A,B, or C
P=
Answer:
Step-by-step explanation:
Answer: 0.86
Step-by-step explanation:
\lim_(x->0)(cos2x)^((3)/(x^(2)))
Answer:
ffffgggghhhuukufgnjsdhn
Answer:
∞
Step-by-step explanation:
since cos(0) = 1, you have 1/0
write an expression that removes any perfect square factors in the radicand. Assume all variables are positive.
Consider the function below.
g(x) = 2x - 1
Find the difference quotient below (where h = 0) and simplify your answer.
g(x + h) - g(x) / h
Answer:
Step-by-step explanation:
I need your hlep now!!! this is due tomorrow
Answer:
6. -200+75= -125
7. -40+-17= -57
8. 6+-9= -3+7=4+-5= -1
5+3=8+-6= 2
11+-12= -1+-3= -4+4=0
Correct answer: Cory goes first
Step-by-step explanation:
COME ON HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP LOSING POINTSS HERE!!!!!
Answer:
The 1st one for the first pic and I'm not sure but c for the 2nd one
Answer:
a and c
Step-by-step explanation:
what does answer on her sceen mean? 9e+10
Answer:
19e
Step-by-step explanation:
What is the Gcf of 10 and 6?
The GCF of 10 and 6 is 2. May this will help you.