w(t) tells you the amount of water w at a given time t.
The inverse function tells you at which time t the tank contains an amount of water w.
To get the inverse function, solve the equation
w = 80 - 2.8t
for t :
w = 80 - 2.8t
2.8t = 80 - w
t = (80 - w) / 2.8
t ≈ 28.57 - 0.357 w
The graph of w(t) is a downward-sloping line. The graph of the inverse is also a downward-sloping line, but its intercept (28.57) and slope (-0.357) are both smaller than the intercept and slope of w(t).
Leo is constructing a tangent line from point Q to circle P. What is his next step?
Mark the point of intersection S of the segment created from the arcs and circle R, and construct line RS.
Mark the point of intersection S of circles R and P, and construct line QS.
Construct arcs from point Q that are greater than half the length of segment PQ.
Construct a circle from point P that has a radius of P and the intersection of circles P and R.
Answer:
hello your question has a missing diagram attached below is the missing diagram
answer :
Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )
Step-by-step explanation:
when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between the given circles and then construct a line through it
Answer:
Mark the point of intersection S of circles R and P, and construct line QS.
Step-by-step explanation:
This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points. If your in FLVS, it would be in lesson 7.04. I also got this right on my test. Good luck!
Which statement is true???
9514 1404 393
Answer:
B, C, E
Step-by-step explanation:
When the central angles are congruent, the corresponding triangles are congruent:
ΔJHK ≅ ΔLHM . . . . selection E
and the base chords are congruent:
ML ≅ JK . . . . selection B
The subtended arcs are also congruent, so adding arc LK to each will result in congruent arc measures:
arc MLK ≅ arc LKJ . . . . selection C
Stella wants to buy a $177,000 house, and she is comparing a 7/1 ARM with an interest
rate of 8 75%, amortized over 30 years, with a 7/23 balloon mortgage that has an
interest rate of 8.25%
24. What would Stella's monthly payment be for the 7/1 ARM?
Answer: Are there any answer choices? If there are I could probably help you, thanks <3
Step-by-step explanation:
This is a riddle for fun What question can you never answer yes to?
Answer:
are you dead?
Step-by-step explanation:
select all expressions that are equivalent to 3x - 2 (x - ) - 1
A.) -9 + x
B.) x + 7
C.) 3x - 2x - 8 - 1
D.) 3x - 2x + 8 - 1
Answer:
a
Step-by-step explanation:
Determine the period of the following graph.
Answer:
3π
Step-by-step explanation:
period = 3π
There are approximately 3,000 bass in a lake. The population grows at a
rate of 2% per year. What is the average rate of change of the population
of bass from Year 1 to Year 4? Round your answers to the nearest tenth.
62.4 bass per year from year 5 to year 8, the average rate of change from the population was about 67.6 best per year the change of rate increase was about
Jenny counted the coins in her bank.
She had 4 times as many nickels as dimes.
She had 8 more quarters than nickels.
She had 52 dimes.
How many quarters did Jenny have in her bank?
A.
21
B.
64
C.
200
D.
216
Answer:
Step-by-step explanation:
its d cause there is actually 208 nickles and if u ad 8 more it gives u 216.
Answer: D.
Step-by-step explanation:
52x4=208
Since we know she has 4 times as many nickels as dimes(52), we just have to multiply 52x4 to get 208 nickels
208+8=216
We know that she has 8 more quarters than nickels(208) so we have to add 8 to 208 to get 216 quarters
I hope this helps
Hopefully it's brainlist
❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️Pls hurry I’ll give brailiest ❗️❗️❗️❗️❗️❗️❗️❗️
Answer: 4 black marbles, 3 blue, 2 green, and one red.
Step-by-step explanation:
find the area of the figure. use 3.14 for pi
Answer:
100
Step-by-step explanation:
14-12=2
10-6=4
4x2=8
divid it by 2 cos itza triangl
8/2=4
the smallr square
4x4=16
biggr square
10x8=80
4+16+80=100
Answer:
answer =100 ft²
Step-by-step explanation:
......hope it helps
PLEASE HELPPPP
Find the area of the shaded region of the square, with side length 2x - 3, if each of
the ovals has an area of x – 5 square inches.
Answer:
4x^2 - 14x + 19
Step-by-step explanation:
A = LW
A = (2x-3) (2x-3)
4x^2 - 6x - 6x + 9
Combine like terms:
4x^2 - 12x + 9
-2(x - 5) (for both ovals)
(4x^2 - 12x + 9) -2(x - 5)
4x^2 - 12x + 9 - 2x + 10
Group then combine like terms:
4x^2 - 12x - 2x + 10 + 9
4x^2 - 14x + 19
Sorry for being 10 days late but here is the answer for anybody that needs this! :D
anyone know the answer?
PLEASE PLEASE PLEASEEE HELP I DONT UNDERSTAND
Answer:
29.5 times pi or 3.14
Step-by-step explanation:
if you answer this question i will give brainliest
Answer:
the line plot in the bottom right corner
Step-by-step explanation:
Answer:
D is the correct graph.
Step-by-step explanation:
First you put the entries in ascending order, because that's how the line plot needs to be ordered.
1/4, 3/8, 1/2, 3/4, 7/8, 1, 1 1/4
So right there, you can rule out A.
You can rule out C because 1/4 does not occur 5 times in the data set.
B is incorrect because 3/8 isn't on the line plot at all.
Please let me know if you have questions.
Create an equation that models the total number of calories Jonathan consumes,y,based on number of biscuits he eats,x,and the 6 packages of pemmican
An equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
We're specified that:
x = number of buiscuits Jonathan eastsy = number of calories Jonathan consumes6 = number of packages of pemmican that jonathan consumes.Let we take:
m = number of calories per buiscuit that Jonathan eats.
Then, for x buiscuits, it would be [tex]m \times x[/tex] calories, or in short [tex]mx[/tex] calories.
Let k = number of calories per package of pemmican, then:
for 6 packages of pemmican, it would be [tex]6 \times k[/tex] calories, or in short [tex]6k[/tex] calories.
Thus, total calories Jonathan consumes = y = calories from x buiscuits + calories from 6 packages of pemmican.
or, we get:
[tex]y = mx + 6k[/tex]
Thus, an equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.
Learn more about forming equations here:
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x = 4 and y = 3.
3x 2 + 5y
A. 27
B. 31
C. 63
D. 159
Answer:
39
Step-by-step explanation:
I did the math
Chloe has enough sand to fill a sandbox with an extra area of 36 square units she wants the outer edge of the sandbox to use as little as Material possible
Answer:
[tex]Length = Width = 6\ units[/tex]
Step-by-step explanation:
Given
[tex]Area=36[/tex]
Required
The least possible material
Sandboxes usually, are rectangles or squares.
Using the above assumption, the area is calculated as:
[tex]Area= Length * Width[/tex]
[tex]Area= L* W[/tex]
[tex]L * W = 36[/tex]
Make L the subject
[tex]L = \frac{36}{W}[/tex]
The material of the outer edge is calculated by the perimeter.
[tex]Perimeter = 2 * (L +W)[/tex]
[tex]P = 2 * (L + W)[/tex]
Substitute [tex]L = \frac{36}{W}[/tex]
[tex]P = 2 * (\frac{36}{W} + W)[/tex]
Open bracket
[tex]P = \frac{72}{W} + 2W[/tex]
[tex]P = 72W^{-1} +2W[/tex]
To get the minimum material needed, we differentiate P
[tex]P' = -72W^{-2} + 2[/tex]
Set: [tex]P' = 0[/tex]
[tex]-72W^{-2} + 2 = 0[/tex]
Collect like terms
[tex]72W^{-2} = 2[/tex]
Divide both sides by 72
[tex]W^{-2} = \frac{2}{72}[/tex]
[tex]W^{-2} = \frac{1}{36}[/tex]
Rewrite as:
[tex]\frac{1}{W^2} = \frac{1}{36}[/tex]
Take positive square roots of both sides
[tex]\frac{1}{W} = \frac{1}{6}[/tex]
Cross multiply
[tex]W = 6[/tex]
Recall that: [tex]L = \frac{36}{W}[/tex]
So, we have:
[tex]L =\frac{36}{6}[/tex]
[tex]L = 6[/tex]
Hence, the dimension with the littlest material as possible is:
[tex]Length = Width = 6\ units[/tex]
Hunter has 56 chocolate bars. He wants to share them evenly with his 7 friends. How many chocolate bars will Hunter and his friends have?
Answer:
8 chocolate bars
Step-by-step explanation:
56 / 7 = 8
( / = divide)
In the equation y = -x + 7 what is the value of m
Gilbert purchased a car for 34000. The car depreciates at a rate of 14% per year. The exponential function that represents this situation is y = 34000(0.86)^x.
What is the change factor for this function?
Answer:
.86
Step-by-step explanation:
Exponential function formula
[tex]y = a ( 1 + or - r ) ^t[/tex]
where a = initial value
r = rate of change
and t = number of years
given the equation y = 34000(0.86)^x.
r = .86
Hence the change factor is .86
The function of fx and gx are shown on the graph Fx=x2
What is gx
Answer:
Step-by-step explanation:
g(x) =(1/4 x)²
g(x) = 4x² will be the equation of the parabola.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given, two parabolas f(x) and g(x),
From the general equation of the parabola,
y = a(x – h)² + k or x = a(y – k)² +h.
Here (h, k) denotes the vertex.
As we can see in our case, the vertex is (0, 0)
Thus, the equation of the parabola will be
y = ax²
Since the given parabola passes through the point (1, 4)
Substitute the values,
4 = a(1)²
a = 4
therefore, the equation of the parabola g(x) will be,
g(x) = 4x²
Learn more about function here:
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The weight of oranges growing in an orchard is normally distributed with a mean
weight of 7 oz. and a standard deviation of 0.5 oz. Using the empirical rule, what
percentage of the oranges from the orchard weigh between 6.5 oz. and 7.5 oz.?
Answer:
The correct anser for delta math is 68%
Step-by-step explanation:
I gave up on delta math
Which of the following is equivalent to
4x2y - 2y2x - 5xy
Select one:
a. -2x2y - 5xy + 4xy2
b. 2xy2 - 5xy + 4x2y
c. -2xy2 + 5xy + 4x2y
d. -2xy2 - 5xy + 4x2y
e. 2x2y - 5xy
Answer:
1 Simplify 4x\times 2y4x×2y to 8xy8xy.
8xy-2y\times 2x-5xy
8xy−2y×2x−5xy
2 Simplify 2y\times 2x2y×2x to 4yx4yx.
8xy-4yx-5xy
8xy−4yx−5xy
3 Simplify.
-xy
−xy
Step-by-step explanation:
The parabola is swached vertically by a factor of 5.
Answer:
answer below
Step-by-step explanation:
I think you mean "squashed" or "stretched" vertically by a factor of 5.
f(x) is the original parabola equation
g(x) = 5f(x) is vertically stretched by a factor of 5
(x,y) -> (x , 5y)
Please help fast how to find missing numbers
Answer:
Step-by-step explanation:
In the diagram, x is a negative number. and it is closer to zero than y.y is a positive number. which expression must be negative
Answer:
you already click the answer
Step-by-step explanation:
Artem drives 12.6 miles in 12 minutes.
He passes a sign which gives the speed limit as 50 mph.
By how much, in mph, did Artem's average speed exceed the speed limit?
Answer:
18 mph
Step-by-step explanation:
12.6 × 5 =68.0. 68 - 50 = 18
6.
A. [tex]-\frac{1}{5}[/tex]
B. [tex]\frac{x1}{5}[/tex]
C. –5
D. 5
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:[tex]d=-1\frac{1}{5}-(-2) =-1\frac{1}{5}+2=\frac{1}{5}[/tex]
This is my third time asking for helpppppppppp
Answer:
The new shape will be like the one that i have drawn for you , i think .
Step-by-step explanation:
add two ( to base* from both sides of it * )
delete one ( from hights )
Hope it was useful ;)
resuelve la inecuación
(3x<15)
Answer:
x<5
Step-by-step explanation:
(3x<15)
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x<15/3
Divide 15 by 3 to get 5.
x<5