Answer:
-2 1/2
Step-by-step explanation:
Using rise/run
-1 - 4 / 3 - 1
-5 / 2
-2 1/2 or -2.5
Answer:
-2.5 or -5/2
Step-by-step explanation:
Slope = rise/run
rise = -1 - 4 = -5
run = 3 - 1 =2
so rise/run = -5/2 = -2.5
Rachel is blowing up a balloon so that the diameter increases at the rate of 10 cm/sec. At what rate must she blow air into the balloon when the diameter measures 4 cm
Using implicit differentiation, it is found that she must blow air at a rate of 251.33 cm³/sec.
A balloon has a spherical format.The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
The radius is half the diameter, hence:
[tex]r = \frac{d}{2}[/tex]
[tex]r^3 = \frac{d^3}{8}[/tex]
[tex]V = \frac{4\pi d^3}{24} = \frac{\pi d^3}{6}[/tex]
Applying implicit differentiation, the rate of change of the volume is:
[tex]\frac{dV}{dt} = \frac{d^2 \pi}{2}\frac{dd}{dt}[/tex]
The diameter increases at the rate of 10 cm/sec, hence [tex]\frac{dd}{dt} = 10[/tex].It is of 4 cm, hence [tex]d = 4[/tex]The rate that she must blow air is:
[tex]\frac{dV}{dt} = \frac{d^2 \pi}{2}\frac{dd}{dt}[/tex]
[tex]\frac{dV}{dt} = \frac{4^2 \pi}{2}(10)[/tex]
[tex]\frac{dV}{dt} = 251.33[/tex]
She must blow air at a rate of 251.33 cm³/sec.
A similar problem is given at https://brainly.com/question/25581404
om has 10 coins in his pocket. Some are nickels and some are dimes.
total value of the coins is $0.85. How many of each type of coin does
ave?Tom has 10 coins in his pocket. Some are nickels and some are dimes.
The total value of the coins is $0.85. How many of each type of coin does
he have?
Answer:
7 dimes and 3 nickelsStep-by-step explanation:
10 cents x 7 cents= 70 cents
5 cents x 3 cents= 15 cents
70
+ 15
85
Which statement best describes the function f(x)=k^−√x+2 if k is a constant such that k > 1 and x≥−2 ? Consider only positive values of the radical.
A
It is an exponential decay function.
B
It is an exponential growth function.
C
It is an increasing power function.
D
It is a decreasing power function.
Answer:
answer is b took the test n dude
Step-by-step explanation:
Lebo can pay $7999 cash for a new car or he can buy it on HP by paying a $2000
deposit and 36 monthly payments of $230. How much extra will he pay by buying on
HP?
Answer:
2000+(36*230)
=2000 + 8280
= $10,280
so,
$10,280 - $7999
= $2,281 extra
if you’re reading this please help
no link help help help
Step-by-step explanation:
1 / 9 is the correct answer
Answer:
The answer is 1/9
Step-by-step explanation:
Hope it helps.
Hannah is organizing her jewelry box. She wants to divide the 30 charms for her bracelet into two equal
groups, so that the ratio is 2 to 3. How many charms should Hannah put in each group?
Uisng the ratio concept, the number of charms that should be put into each group would be 12 and 18 respectively
Given the Parameters :
Total number of charms = 30Ratio = 2 : 3The group with 2 :
[2 ÷ (2+3)] × 30
(2 / 5) × 30
= 12
The group with 3 :
[3 ÷ (2+3)] × 30
(3 / 5) × 30
= 18
Hence, each group will have 12 and 18 charms respectively
Learn more : https://brainly.com/question/25775672
find the slip of every line that is parallel to the graph of the equation x-8y=-1
Answer:
1/8
Step-by-step explanation:
x-8y=-1
First, put the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
-8y = -x-1
y = 1/8x +1/8
The slope is 1/8 and the y intercept is 1/8
The slope for parallel lines is the same for all parallel lines
1/8
23+441x24-165 will equal what
Using the diagram and information below to create and solve an equation m<2 =(y+10)° and m<4=(3y-24)° what is m <2
Step-by-step explanation:
m∠2 = m∠4
y + 10 = 3y - 24
y - 3y = -24 - 10
-2y = -34
y = -34/-2
y = 17
m∠2 = y + 10
m∠2 = 17 + 10
m∠2 = 27°
What value of will make the equation a true statement? Explain how you arrived at your solution
(-3+4)+a=0
Answer:
-1
Step-by-step explanation:
First you do what's inside the brackets,
-3 + 4 = 1
Now we have 1 + a = 0
so we rearrange for a
0 - 1 = -1
a = -1
Have a great day <3
Find the slope of the line graphed below.
Answer:
slope = 3/8
Step-by-step explanation:
slope is rise over run
use the points (-4,1) and (4,4)
going up 3 and over 8 will connect you to the other point
−38d−57≥−19d+76 solve for d
Answer:
Step-by-step explanation:
- 38d - 57 ≥ - 19d + 76
- 38d + 38d - 57 - 76 ≥ - 19d + 38d + 76 - 76
-133 ≥ 19d
-133/19 ≥ 19/19d
-7 ≥ d
Answer:
[tex]d\leq -7[/tex]
Step-by-step explanation:
Move all terms containing [tex]d[/tex] to the left side of the inequality.
Add [tex]-19d[/tex] to both sides of the inequality.
[tex]-38d-57+19d\geq 76[/tex]
Add [tex]-38[/tex] and [tex]19d.[/tex]
Move all terms not containing [tex]d[/tex] to the right side of the inequality.
Add [tex]57[/tex] to both sides of the inequality.
[tex]-19d\geq 76+57[/tex]
Add [tex]76[/tex] and [tex]57.[/tex]
[tex]-19d\geq 133[/tex]
Divide each term by [tex]-19[/tex] and simplify.
Divide each term in [tex]-19d\geq 133[/tex] by [tex]-19[/tex]. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
[tex]\frac{-19d}{-19} \leq \frac{133}{-19}[/tex]
Cancel the common factor
[tex]\leq \frac{133}{-19}[/tex]
Divide [tex]133[/tex] by [tex]-19.[/tex]
[tex]d\leq -7[/tex]
The result can be shown in multiple forms.
Inequality Form:
[tex]d\leq -7[/tex]
Interval Notation:
[tex](- { \infty} ,-7][/tex]
how can a circle be represented algebraically?
Answer:
Not my words... put quotes
"We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius."
Step-by-step explanation:
Let H(t) = 68 + 93(0.91)^t give the temperature of a cup of coffee in degrees Fahrenheit t minutes after it is brought to class.
1 Find formulas for H(t + 15) and H(t) + 15.
2 Graph H(t), H(t + 15), and H(t) + 15.
3 Describe in practical terms a situation modeled by the function H(t + 15).
Answer:
Go to demose and plug it in it worked for me but it wont let me out a link in my awnser.
please help ill mark brainlest tysm
Answer:
218
-72
12° C
Step-by-step explanation:
The magnitude of a single number is the positive version of that number.
We write it mathematically like this:
|−218|=218
|-12|=12
The magnitude of a number is also known as the absolute value, and literally means the 'size' of the number, not worrying if it is positive or negative.
For numbers such as 1, 2, 3, and so on, the magnitude is simply the number itself. If the number is negative, the magnitude becomes the absolute value of the number. For example, the magnitude of 10 is 10. The magnitude of -10 becomes the absolute value of -10, which is 10.
Identify the transformation that was applied to this letter.
Rя
A. Reflection over the y-axis
B. Rotation about the origin
C. Reflection over the x-axis
D. Translation
Answer:
your answer would be A. Reflection over the y-axis
have a good day :)
Express each ratio as a fraction in simplest form.
15 feet out of 36 feet.
Answer to question: 5:12 5/12
[tex]$3 \frac{3}{4} + 4 \frac{1}{2}$[/tex]
Answer:
thats 7 4/6
Step-by-step explanation:
What is the value of the expression 2^3 + 2^2 x 2 + 6 - 2^1 x 2^0 - 1
2^3 + 2^2 x 2 + 6 - 2^1 x 2^0 - 1
2³+2³+6-2×1-1
2×2³+6-2-1
2⁴+6-2-1
16+6-2-1
19
Can someone please help how I could find the square root for 121? Please explain step by step to get marked as brainliest!
Answer:
+ or - 11
Step-by-step explanation:
To find the square root of 121, think of a number that multiplied by itself would get to 121. This number is 11. However, do remember that the number could also be negative 11 bencause a negative times a negative becomes positive. I would advise you to try memorizing the squares of 0 to 15 to help you with this. Otherwise, you can just use a calculator.
Hope this helps! :)
Find the expression that is equivalent to (2v-3)(5v-1)
1. 7v²+13v+3
2. 7v²-13v-3
3. 10v²+17v-3
4. 10v²-17v+3
Answer:
[tex]10v^2-17v+3[/tex]
Step-by-step explanation:
To find the equivalent of this expression we have to use the FOIL method
So you multiply the first terms [tex]2v*5v[/tex]
Then multiply the outer terms [tex]2v*-1[/tex]
Then multiply the inner terms [tex]-3*5v[/tex]
Then multiply the last terms [tex]-3*-1[/tex]
can someone please answer this one question! I'll give you 40 points
Answer:
Step-by-step explanation:
Tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số y = x^ + 4(1 −x) trên |-1; 1]
Answer:
tite ko malaki hahahhahhaahhaahahahahhaahjjaahahaahahahhah
Step-by-step explanation:
12345
find the equation of a line in point slope form that crosses through points (3,-2) and (5,2)
-2-2=0.5(3-5)
OR (-2-2)=1/2(3-5)
Athlete J runs 2/3 of a mile in 8 minutes. Athlete H runs 2 3/4 miles in 1/2 hour.
1: If Athlete J continues at that speed, how long will it take to run one mile?
2: How long will it take Athlete J to run 5 miles at that same speed?
3: Who runs faster, J or H? Why?
The number of minutes it would take Athlete J to run one mile is 12 minutes.
The number of hours it would take Athlete h to run 5 miles is 10/11 hour.
Athlete h runs faster because his average speed is greater than that of Athlete J.
In order to determine the time it would take Athlete J to run one mile, the average speed has to be determined.
Average speed = total distance / time
2/3 ÷ 8
2/3 x 1/8 = 1/12 mile / minute
Time it would take Athlete J to run one mile = distance / speed
1 ÷ 1/12 = 12 minutes
Average speed of Athlete H = 2 3/4 ÷ 1/2
11/4 x 2 = 5 1/2 miles / hour
Time it would take Athlete H to run 5 miles = distance / speed
5 ÷ 11/2
5 x 2/11 = 10/11 hours
To learn more about average speed, please check: brainly.com/question/9834403
help me please zearn
Answer:
Radius = 7cm , Circumference = 43.96cm
Step-by-step explanation:
To find the radius, you divide the diameter by 2.
14 / 2 = 7cm
To find the circumference, you multiply 兀 ( 3.14 ) with the diameter
兀d = 兀 x 14 = 43.96cm
Tyler has $600 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $233.09.
He buys 3 bicycle reflectors for $16.38 each and a pair of bike gloves for $29.13.
He plans to spend some or all of the money he has left to buy new biking outfits for $52.48 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Tyler can purchase while staying within his budget.
I need this asap!
Answer:
5 outfits
Step-by-step explanation:
The total of Tyler's purchases will be ...
233.09 +3(16.38) +29.13 +52.48x ≤ 600
52.48x ≤ 288.64 . . . . . . . . . subtract 311.36 and simplify
x ≤ 5.5 . . . . . . . . . . . . . . divide by 52.48
Tyler can buy 5 outfits and stay within his budget.
_____
The number of outfits must be an integer. The largest integer less than 5.5 is 5.
9.
Identify the minimum value of the function y = 3x2 − 12x + 10.
A. 10
B. 46
C. 2
D. −2
Answer:
D. −2
Step-by-step explanation:
Use the formula x = − b /2 a to find the maximum and minimum.
( 2 , − 2 )
The length of a rectangle is 7 less than the width. If the
perimeter is 50. What is the length and width? Write
an equation for the situation and solve.
Answer:
Step-by-step explanation:
Let width = w
Length = w - 7
Perimeter = 2*(length + width)
2*(w-7 + w) = 50
2* (2w - 7) = 50
2*2w - 7*2 = 50
4w - 14 = 50
Add 14 to both the sides
4w = 50+ 14
4w = 64
Divide the entire equation by 4
w = 64/4
w = 16 units
Length = 16 - 7 = 9 units
