Answer:
Step-by-step explanation:= 21/4 divided by -5/2
= 21/4 x -2/5. flipped and multiplied
= -21/10
= -2 1/10
Answer:
-2 1/10
Step-by-step explanation:
5 1/4 = 21/4
-2 1/2 = -5/2
21/4 ÷ -5/2=-21/10 = -2 1/10
A balloon is being inflated mechanically in such a way that the volume is increasing at a constant rate of 15 cm3 /s. If the volume of the balloon was originally 30 cm3, determine the average rate of change of the volume of the balloon with respect to the radius of the balloon, to the nearest centimetre cubed per centimetre, between 0 s and 10s, and between 10 s and 20 s.Discuss the following question:Is the rate of change of volume with respect to radius constant?
The magnitude of the volume of the balloon increases at a faster rate than
the radius of the balloon.
The rate of change of the volume of the balloon with respect to radius is not constant.Reasons:
The rate at which the volume of the balloon is increasing, [tex]\dfrac{dV}{dt} = 15 \ cm^3/s[/tex]
The initial volume of the balloon, V = 30 cm³
The rate of change of the volume of the balloon with radius is given as follows;
[tex]\dfrac{\Delta V}{\Delta r}= \dfrac{V_2 - V_1}{r_2 - r_1}[/tex]
[tex]Volume \ of \ the \ balloon, \ V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]
[tex]V = 30 + \dfrac{dV}{dt} \times t[/tex]
∴ V = 30 + 15·t
At t = 0, V = 30 cm³
Where;
[tex]r =\sqrt[3]{ \dfrac{3 \cdot V}{4 \cdot \pi} }[/tex]
When V = 30
[tex]r =\sqrt[3]{ \dfrac{3 \times 30}{4 \cdot \pi} } \approx 1.93[/tex]The radius, r ≈ 1.93 cm.
At t = 10 s., we have;
V = 30 + 15 × 10 = 180
[tex]r =\sqrt[3]{ \dfrac{3 \times 180}{4 \cdot \pi} } \approx 3.5[/tex]At t = 20 s., we have;
V = 30 + 15 × 20 = 330
[tex]r =\sqrt[3]{ \dfrac{3 \times 330}{4 \cdot \pi} } \approx 4.29[/tex]Therefore;
Between 0 s. and 10 s., we have;
[tex]\dfrac{\Delta V}{\Delta r}=\dfrac{180 - 30}{3.5-1.93} \approx 96[/tex]Rate of change of the volume of the balloon with respect to the radius of the balloon to the nearest centimeter, between 0 s and 10 s is 96 cm³/cm.
Between 10 s. and 20 s., we have;
[tex]\dfrac{\Delta V}{\Delta r}=\dfrac{330 - 180}{4.29 - 3.5} \approx 190[/tex]Between 10 s. and 20 s. the rate of change is approximately 190 cm³/cm.
Therefore;
The rate of change of the volume of the balloon with respect to radius is not constant, but increases as the volume of the balloon increases.
Learn more here:
https://brainly.com/question/13489213
Answer correctly for brainliest
where is your question?
Answer:
what is your question?
I need help with these
Answer:
The graph is linear and shaded below the line.
Step-by-step explanation:
It looks like the graph is linear, since the line is straight and continues on forever in both directions. It's not quadratic or absolute value, since quadratic graphs are curved and absolute value graphs branch off in two directions.
If you look at the Desmos graph attached, the shade is below the line, not above the line.
Finally, (0, 0) is not a solution since this point is not part of the shaded section of the graph.
Hopefully this helps! If you need further clarification, let me know!
PLSSS HELP WILL MARK FIRST RIGHT ANSWER BRAINLIEST!!!
Answer:
x= -11
Step-by-step explanation:
Rearrange terms
[tex]-1=\frac{5+x}{6} into -1=\frac{x+5}{6}[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]-1=\frac{x+5}{6} \\6(1)=6(\frac{x+5}{6} )[/tex]
Cancel multiplied terms that are in the denominator
[tex]6(-1)=6 (\frac{x+5}{6} )6(-1)=x+5[/tex]
Multiply the numbers
[tex]6(-1)=x+5\\-6=x+5[/tex]
Subtract 5 from both sides of the equation
[tex]-6=x+5\\-6-5=x+5-5[/tex]
Simplify
Subtract the numbers
Subtract the numbers
Move the variable to the left
Round 19.432 to the nearest whole.
3h 10 min + 1h 20 min is equal is to
Hannah made four withdrawals of $20 from her checking account. She also
wrote a check for $215. By how much did the amount in her checking account
change?
(Show answer )
Hi upandover can you help me.
Answer:
-a^5x^3
Step-by-step explanation:
hope this helps! :)
Let's separate this out and multiply the coefficients first, then the variables.
2 1/3 = 7/3
7/3 * -3/7 = -1
(a^2)(x)(a^3)(x^2)
When we multiply terms with exponents, we ADD the exponents.
(a^5)(x^3)
Answer: (-1)(a^5)(x^3)
Coefficient: -1
Hope this helps!
Calculate the average speed (in miles per hour) of Cassandra who runs a 18 mile marathon in 6 hours.
0 24 mi/hr
O 3 mi/hr
O 0.333 mi/hr
O 12 mi/hr
help plssss
Cassandra runs 3 miles.
Hope this helps! :D
I need help figuring out the answers to these kinda poorly worded questions
=======================================================
Explanation:
Let x be the unknown positive integer.
The square roots of x are [tex]\sqrt{x}[/tex] and [tex]-\sqrt{x}[/tex], representing the positive and negative square roots respectively.
Taking the difference of those means we subtract:
[tex]\text{PositiveRoot}-\text{NegativeRoot} = \sqrt{x} - (-\sqrt{x}) = \sqrt{x}+\sqrt{x} = 2\sqrt{x}[/tex]
Set that equal to 40 and solve for x
[tex]2\sqrt{x} = 40\\\\\sqrt{x} = 40/2\\\\\sqrt{x} = 20\\\\x = 20^2\\\\x = 400[/tex]
Therefore, the integer we're after is 400.
The positive square root of such is [tex]\sqrt{x} = \sqrt{400} = \sqrt{20^2} = 20[/tex]
And the negative square root is [tex]-\sqrt{x} = -\sqrt{400} = -\sqrt{20^2} = -20[/tex]
The difference of which is:
(Positive Root) - (Negative Root) = 20-(-20) = 20+20 = 40
This helps confirm the answers.
(with work shown) what is 6396 / 15 then that answer -6000
Answer:
-5573.6
Step-by-step explanation:
Write an equation of the line that passes through point (6, 1) and has the slope m = -3.
y
4
Answer:
[tex]y = mx + c[/tex]
[tex]1 = - 3 \times 6 + c[/tex]
[tex]1 = - 18 + c[/tex]
[tex]1 + 18 = - 18 + 18 + c[/tex]
[tex]19 = c[/tex]
[tex]y = 6x + 19[/tex]
help pleaseeeeeeee!!!!!!!!
Answer:
4,3
Step-by-step explanation:
Answer:
rectangle
Step-by-step explanation:
square corners and unequal sides
Please someone help me with this
Answer:
ANSWER:C
Step-by-step explanation:
sana maka tulong
Please find the value of X
Answer:
x = 116°
Step-by-step explanation:
since l and m are parallel lines
by property
116° = x
The table below shows the equations of five lines.
line 1: y= 2x - 3
line 2: 2x + y - 3 = 0
line 3: y= 5x + 11
line 4: 2x - y = 10
line 5: y= 1/2x - 5
a) which line has the greatest slope? explain ur answer.
b) which lines are parallel? show workings and explain
c) which lines are perpendicular? show workings and explain.
d) at which point does line 3 cross the y-axis?
Answer:
a) line 3 because the coefficient of the term 5x, the slope is the greatest slope.
b) line 1 and 4 are parallel because they have the same slope: 2
c) line 1 with line 2 and line 4 with line 2 are perpendicular lines because their slopes are reciprocals negative.
d) line three crosses the y line at point 11
Step-by-step explanation:
Line 1. y = 2x - 3
Line 2: y = -2x + 3
Line 3: y = 5x + 11
Line 4: y = 2x - 10
Line 5: y = 1/2x - 5
what is the answer to the equation 5x+10=25
Answer:
x=7
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
5x+10=25
you want x to be by itself
5x=15
so subtract 10 from both sides
then dived 5 from 15
x=3
Hey anyone help please n thank you :)
Answer:
(9, 9) this is where they intersect at
Step-by-step explanation:
this is what my techer told me to do "Show a different way to solve 99x76"
Answer:
I think it's 76×99
Step-by-step explanation:
hope it helps
Evaluate p+23 for p=8
Answer:
31
Step-by-step explanation:
p = 8
p + 23
= 8 + 23
= 31
31 is the answer.
rearrange to make x the subject
[tex]y=\frac{3x-2}{x+1}[/tex]
please i need for hwk for exam
Step-by-step explanation:
Given equation : y = 3x - 2 / x+1for subject x» x = - 2 + y -3+ yThe Budget Car Rental rates for renting a car for a day is shown in the table.
a) What is the initial cost of renting a car? (Answer in Blank 1)
b What is the rate of change? (Answer in Blank 2)
c) Using C for the cost of and d for the distance driven, write an equation representing the rental rates of the car agency. (Answer in Blank 3)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
a.) Initial cost of renting the car is $100
b.) rate of change is slope, that is :
[tex] \dfrac{105 - 100}{100 - 0} [/tex][tex] \dfrac{5}{100} [/tex][tex] \dfrac{1}{20} [/tex][tex]0.05[/tex]c.) Cost = C and distance = d
the equation will be :
[tex]C = \dfrac{d}{20} + 100[/tex]Which of the equations below could be the equation of this parabola? A y = 1/6x2 B. x = -1/6y2 C. x = 1/6y2 D. y = -1/6x2
Answer:
C
Step-by-step explanation:
assuming the 2s are all squares
just plot a point and it's negative
Answer:bro w t f is C bro C isn’t always the same option on other quizzes
Step-by-step explanation:
A cheetah traveling at 31 m/s chased its prey for 11 seconds. What distance did the cheetah travel during the chase?
Answer:
341 meters
Step-by-step explanation:
you just multiply 31 by 11.
Answer:
341 meters
Step-by-step explanation:
Jusr do 31 times 11
what is 75 divided by 5
Answer: 75 / 5 = 15
Ways to write it:
75 ÷ 5 = 15
75 over 5 = 15
75⁄5 = 15
f(x)= ve + 9. Find f'(x) and its domain.
Answer:
Find the domain by finding where the expression is defined.
Interval Notation: [tex](-[/tex]∞[tex],[/tex] ∞[tex])[/tex]
Set-Builder Notation: {[tex]x|x[/tex] ∈ R}
The function declaration [tex]f(x)[/tex] varies according to [tex]x[/tex], but the input function [tex]ve + 9[/tex] only contains the variable [tex]v[/tex]. Assume
[tex]f(v)=ve+9[/tex]
[tex]f(v)=ve+9[/tex]
3/4 + 3/16 and 3/4 - 3/16
Answer:
for the first it is 15/16 and the second is 9/16
to help you use desmos sictific coulator
The table shows Tampa’s average monthly temperature and precipitation for 6 months in 2018.What is the value of r? Round to the nearest hundredth.
Answer:
0.5
Step-by-step explanation:
what is -1/2 cubed? ?
Answer:
-1/8
Step-by-step explanation:
(-1/2)^3 = (-1/2) * (-1/2) * (-1/2) = -1/8
Answer:
-0.125
:) Hope this helped, let me know if you need more help! :)
Find the constant of proportionality in the graph
below.
a. 9
b. 4
C. 3
d. 1.5
The answer is B. Since the graph increases by 4 on the y-axis as x increases by 1, the constant of proportionality is 4.