Answer: 14/5
Step-by-step explanation: Use Algebra calculator on math papá.com
Answer:
[tex]m=\frac{14}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 5)
Point (-3, -9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-9-5}{-3-2}[/tex]Subtract: [tex]m=\frac{-14}{-5}[/tex]Simplify: [tex]m=\frac{14}{5}[/tex]solve for x.
12x/5=18
A.x = 43 1/5
B.x =7 1/2
C.x =-7 1/2
You rode your bike for 5 miles in 30 minutes.
If
you rode at the same rate, you would ride 12 miles in 80 minutes.
12
HINT:
5
30
O True
O False
A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.
Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)
Part B: At time t, at what rate is the height of the dough decreasing with respect to time?
Answer:
a) dA/dt = 125,42 mm/min
b) dh/dt = - 1,78 mm/min
Step-by-step explanation:
The volume of the cylinder is:
V(c) = π*r²*h ( r and h radius of the base and heigh respectively )
Then the surface area is: Area of the base : π*r²
Plus lateral area : h*2*π*r
A(c) = π*r² + 2*π*r*h
With the help of differentials we obtain:
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt (1)
In this equation and at time t we know:
r = 18 mm dr/dt = 2 mm/min h = 8 mm dh/dt = ??
dA/dt = increasing rate of the surface area ( with respect to time)
To find dh/dt we know:
V(c) is constant, then
V(c) = π*r²*h then h = V(c) / π*r²
dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴
By subtitution of V(c)
dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴
dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴
dh/dt = - [2*h* dr/dt ] / r
dh/dt = - 2*8*2 / 18 mm/min
dh/dt = - 1,78 mm/min
By subtitution in equation (1)
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt
dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )
dA/dt = 226,20 + 100,53 - 201,31
dA/dt = 125,42 mm/min
Following are solutions to the given points:
Formula:
Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]
[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]
Part A:
Calculating the circular area of the surface:
[tex]\to A=\pi r^2\\\\[/tex]
So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]
Therefore
[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]
Part B:
[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]
Learn more:
brainly.com/question/19667963
A submarine dived 172 ft and 4 minutes find the average change in depth from the submarine each minute
Answer:
43 ft per minute
Step-by-step explanation:
divide 172 by 4 to get the feet per 1 minute
A stray dog ate 30 of your muffins. That was 5/7 of all of them! How many are left?
Answer:
42
Step-by-step explanation:
5/7x=30
x=42
Answer:
40
Step-by-step explanation:
W =15
2. Marlon buys 9 packs of hot dogs. There are 6 hot dogs in each pack. After
left over. How many hot dogs were eaten?
At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.
A tree diagram. Random student to studies for test is 0.6, and to does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.
The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher?
0.45
0.46
0.54
0.59
Answer:
.54
Step-by-step explanation:
The probability is 33%.
what is probability?The probability is the measure of the likelihood of an event to happen.
Given:
Random student to studies for test is 0.6, and to does not study for test is 0.4.
Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45.
Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.
P(A) =55%
P(B)= 20%
60% of the students study.
So, the probability that a student studies, and gets B or higher is:
Probability =P(A) * 0.6
P= 55* 0.6
Probability = 33%
Hence, the probability is 33%
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North and South had conflict over which of the following? (lol I accidentally put this as math but it's HISTORY)
A. Slavery
B. Tariffs
C. States' Rights
D. All of the above
Answer: I think D
Step-by-step explanation: I know slavery and states rights but i don’t know about the b one
Answer: All of the above
Step-by-step explanation: The south wanted slavery, lower or no tariffs, and individualized states writes. On the other hand, the north wanted no slavery, tariffs, and a central government.
Susan answered 60% of the test questions correctly. She answered
21 questions correctly. How many questions were on the test?
A. 12.6
B. 56
C. 35
D. 21
PLEASE HELP QUICKK
Which slopes could be the slopes of perpendicular lines?
Question 1 options:
1/2 and 2
8 and -1/8
2 and 2
1 and -1
0 and undefined
The answer would be:
8 and -1/8
1 and -1
And could be 0 and undefined, but I'm not 100% sure
Question 13 (1 point)
A jug contains 74.1 ounces of fruit punch. If the punch is evenly distributed to six people, how
many ounces will each person get?
oz.
Blank 1:
Answer:
each person gets 12.35oz
Step-by-step explanation:
74.1
6
=12.35
Answer:
12.35 oz
Step-by-step explanation:
74.1 divided by 6 equals 12.35
percent change of 14 books to 40 books
Answer:
185.714285714%
A change from 14 to 40 represents a positive change (increase) of 185.71428571428572%
HELP ASAP ILL GIVE BRAINLIEST!!!
At the park, 3/5 of the space is for the playground equipment . Of that space. 1/4 is used for swings. What fraction of the park is used for swings?
3/20
1/5
1/3
4/9
Answer:
1/5 is ur answer
Step-by-step explanation:
Complete the solution of the equation. Find the
value of y when x equals 15.
-x + 2y = -1
help in the next 2 mins!!! -4+7-3
Answer:
0
Step-by-step explanation:
-4+7-3=0
-4+7=3
3-3=0
Answer is 0
Which trigonometric functions have a domain of [–1, 1]?
Answer:
A. y = arcsinx and y = arccosx
Step-by-step explanation:
edge
The trigonometric functions have a domain of [–1, 1] is sine and cosine function.
What is Domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
From the given identity, the following things can be interpreted:
cos²x = 1- sin² x
cos x = √(1- sin2x)
Since the cosine function is known to be defined for real numbers, the value contained within the root is always positive. Therefore,
1- sin²x ≥ 0
sin²x ≤ 1
sin x ∈ [-1, 1]
Similarly,
1- cos²x ≥ 0
cos²x ≤1
cos x ∈ [-1,1]
Learn more about Domain here:
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Graph a line through (2,-5) and have a slope of -4
im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?
Which number is a zero of the function f?
f(x) = x2 - x - 6
F 6
G2
H 3
IO
Answer:
zeros of the function are −2 and 3
Step-by-step explanation:
there is no -2 so H.3
what is the solution of the following? *
-4 = 16
Infinite solutions
no solution
Answer: no solution
Hope this helps and good luck :)
Step-by-step explanation:
The weight of 100 identical samples of a substance is 0.01 pounds.
What is the weight of 10,000 samples?
0.01/100 = 0.0001 x 1000 = 0.1lb
The perimeter of a rectangle,p, is given by p =2L + 2W , where L is its length and w is its width what is the perimeter of a rectangle of length 15ft and width 15ft ?
Answer:girl use google
Step-by-step explanation:what
Write the fraction as a decimal.
16/5
Answer:
3.2
Step-by-step explanation:
Can you help me please
Answer:
f(-4)=3(4)^2-5(4)
16*3-20
48-20
f(-4)=28
write an equation for each description. solve for x
Answer:
x = 33
Step-by-step explanation:
Because of the little square we know the total angle is 90
24 + 2x = 90
-24
2x = 66
/2
x = 33
WILL MARK AS BRAINLIEST
Answer:
C!
Step-by-step explanation:
I Got it correct! I hope you have a wondeful weekend and Day!!!
what is the slope for (1,3) and (1,-2)
Answer:
-6
Step-by-step explanation:
-2-3/1-1
Can smoke please help me with this I need help I’ll give brainliest
Answer:
only one solution at x=0
Step-by-step explanation:
Answer the questions below. Write your answers in simplest form.
(a) A square has a perimeter of 100 yd. What is the length of each side?
yd
Answer:
25 yds
Step-by-step explanation:
Since it is a square all sides are equal and there are 4 sides so you divide the perimeter, 100, by 4 to get 25 yds.
twelve increased by a number
Answer:
12+# OR 12+x
Step-by-step explanation:
Increased by 12 means plus 12. The word "is" in equations is an equal sign. So far, you have 2n+12. On the other side of the equal sign, you have 31 less than 3 times a number.
Alexa bought 25 pounds of turkey for $26.25. What is the cost per
pound?
Answer:
$1.05 Per Pound
Step-by-step explanation:
Answer: $1.05/pound
Step-by-step explanation:
$26.25 / 25 = $1.05