Answer:
B, C, & E
Step-by-step explanation:
What two positive consecutive integers have a product of 72
Answer:
32 and 70
Step-by-step explanation:
A particle moves along a horizontal line so that its position at time t, t ≥ 0, is given by
s(t) = 40 + te^−t/20.
Find the minimum velocity of the particle for 0 ≤ t ≤ 100.
Answer:
The minimum velocity of the particle = [tex]-e^{-2 }[/tex] units
Step-by-step explanation:
Given - A particle moves along a horizontal line so that its position at time t,
t ≥ 0, is given by s(t) = 40 + te^−t/20.
To find - Find the minimum velocity of the particle for 0 ≤ t ≤ 100.
Proof -
Velocity, v(t) = [tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex]
Now,
[tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex] = [tex]\frac{d}{dt}(40 ) + \frac{d}{dt}(te^{-\frac{t}{20} } )[/tex]
= 0 + [tex]t\frac{d}{dt}(e^{-\frac{t}{20} } ) + e^{-\frac{t}{20} }\frac{d}{dt}(t )[/tex]
= [tex]t(-\frac{1}{20} )e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]
⇒v(t) = [tex]-\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]
Now,
For minimum velocity, Put [tex]\frac{d}{dt}(v(t)) = 0[/tex]
Now,
[tex]\frac{d}{dt}[v(t)] = \frac{d}{dt} [ -\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} } ][/tex]
= [tex]-\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }[/tex]
Now,
Put [tex]\frac{d}{dt}(v(t)) = 0[/tex], we get
[tex]-\frac{2}{20} = - \frac{t}{400}[/tex]
⇒t = 40
Now,
Check that the point is minimum or maximum
Calculate [tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]
Now,
[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex] = [tex]\frac{d}{dt} [ -\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }][/tex]
= [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]
⇒[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex] = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex] > 0
∴ we get
t = 40 is point of minimum
So,
The minimum velocity be
v(40) = [tex]-\frac{40}{20}e^{-\frac{40}{20} } + e^{-\frac{40}{20} }[/tex]
= [tex]-2e^{-2 } + e^{-2 }[/tex]
= [tex]-e^{-2 }[/tex]
⇒v(40) = [tex]-e^{-2 }[/tex] units
∴ we get
The minimum velocity of the particle = [tex]-e^{-2 }[/tex] units
A bag with 8 marbles has 4 red marbles, 3 blue marbles, and 1 yellow marble. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in simplest form.
Answer:
P = 4 / ( 4 + 3 +1 )
= 4 / 8
= 4 / 8 = 1 / 2
Hope it helps
Please mark me as the brainliest
Thank you
The probability that it is red is 1/2.
what is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
A bag with 8 marbles
4 red marbles,
3 blue marbles,
and 1 yellow marble.
So, the probability that it is red
= 4 / ( 8)
= 1/2
Hence, the probability that it is red is 1/2.
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What is the sum of the largest and smallest recorded capacity?
find the area of the composite shape. quickly please
Answer:
4800 1 x 24 x 25 x 8
Step-by-step explanation: 1 x 24 x 25 x 8
Can someone please help!!!
Answer:
its the 3rd one
Step-by-step explanation:
Felicia and gabriella are on the hamilton middle school basketball team. The box plots show the number of points they scored in 8 basketball games.
Answer:
I
Step-by-step explanation:
I need the box plot to do the problem
Determine the slope of the line whose equation is 2x-3y=5
Need answers for 1 and 2. Please
Answer:soultion
Step-by-step explanation: solution
down the additive inverse of 4 by 7
Answer:
[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]
The additive inverse of 4/7 is -4/7.hopefully help:)
Step-by-step explanation:
#CarryOnLearningWhen a certain kind of bacterium takes a step, it moves 3 x 10^-7 meters. When
Joe takes a step, he moves 0.75 meters. How many times larger is Joe's step
than the bacterium's step?
Joe's step is[ ] x 10^[ ]
times larger than the bacterium's step
Answer:
Step-by-step explanation:
0.75/(3*10^(-7)) = 0.25*10^7 = 2.5*10^6
Read the sentences below. They are the first part of a summary of the article. Atoms are the building blocks of everything. They are too tiny to be seen. Atoms are made up of electrons, protons and neutrons. Which answer BEST completes the summary? A Each atom has a special number and element B Each atom has some oxygen and hydrogen. с Each atom has an atomic number of 1. D Each atom is made up of 100 elements.
Answer:
A (i think)
Step-by-step explanation:
If i'm right please mark me branliest
Which table of ordered pairs represents a proportional relationship? I’m a timer please hurry thank you so much
х
-3
-4
-5
у
3
2
1
x
-1
-3
-5
у
1
3
5
-2.
-4
-6
y
1-5
1-7
-9
х
--2
-3
-4
у
0
-1
1-2
I
Answer:
I'd say the second one. the others are all showing a linear relatiknship
Need it now. I'll give you another 100 when done if all i right.
This it the test please do as fast as posible and show work. thank you and sorry
cuánto es 567 + 678 es igual
Answer: 1245 :)
Step-by-step explanation:
Answer:
la respuesta es 1245
567+678=1245
HELP FAST FAST FAST
IM GIVING BRAINLIEST!!!!
A trapezoid has an area of 13.5 inches. The bases are 3 inches and 6 inches. Determine the height of the trapezoid.
EXPLAIN THE PROCESS AND THE STEPS PLEASEEE
Answer:
h=3in
Step-by-step explanation:
A=a+b
2h
Solving forh
h=2A
a+b=2·13.5
3+6=3in
The profit for a company this year was $100,000. Each year the profit increases at a rate of 1.2% per
year. Which function shows the company's profit as a function of time in years?
a. f(t) = 100,000 0.012^t
b. f(t) = 100,000(1 + 1.2)^t
c. f(t) = 100,000(1 + 0.012)^t
d. f(t) = 100,000 - 1.2^t
Given:
Initial profit = $100,000
Increasing rate of profit = 1.2%
To find:
The function that shows the company's profit as a function of time in years.
Solution:
The exponential growth model is defined as:
[tex]f(t)=a(1+r)^t[/tex]
Where, a is the initial value, b is the growth rate and t is the time period.
Putting a=100,000 and r=0.012, we get
[tex]f(t)=100,000(1+0.012)^t[/tex]
Where, t is the number of years.
Therefore, the correct option is c.
work out the value of angle x 24 degrees
Answer:
180=2x+ 24( angles opposite to equal sides)
156/2=x
x=78
Step-by-step explanation:
The value of x from the triangle is given by the equation x = 78°
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the triangle be represented as ABC
Now , the measure of angle ∠A = 24°
It is an isosceles triangle with ∠B = ∠C
So , the measures of the two angles are the same
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Substituting the values in the equation , we get
x + x + 24° = 180°
On simplifying the equation , we get
2x = 156°
Divide by 2 on both sides of the equation , we get
x = 78°
Hence , the measure of x = 78°
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Someone please help me
If you partition ¼ into 6 equal segments, how long is each segment?
Answer:
1/24
Step-by-step explanation
I'm pretty sure that you just do 1/4 times 6 to get 1/24 so each segment will be 1/24.
Can someone help quick please
Answer:
PC = 4 cm
Step-by-step explanation:
AP = 4 cm
Because AB = BC, PB = PB, and we know that angle PBA = 90 degrees: triangle PBA is congruent to triangle PBC by the Side-Angle-Side theorem.
PC = AP because corresponding parts of congruent triangles are congruent.
Find cos (P)
Q
74
70
P
24
R
A.
37
12
В.
35
37
C.
12
Answer:
cos P = 71.09
Step-by-step explanation:
cos = [tex]\frac{adajcent}{hypotenuse}[/tex]
cos P = [tex]\frac{24}{74}[/tex]
cos P = 0.324
cos-1 of 0.324 is 71.09
cos P = 71.09
Find each product mentally, using the distributive property, 4x51/8. (giving brainliest)
Answer:
25.5
Step-by-step explanation:
4 x 51 / 8
204/8
25.5
Answer:
Step-by-step explanation:
4×15/8 = 4×(1+⅞) = 4×1 + 4×⅞ = 4 + 7/2 = 4 + 3.5 = 7.5
5. Can two fractions point to the same location on the number line? Explain.
Answer:
1 2 = 2 4 = 3 6 = 4 8 = etc. All of these fractions are located at the same point on the number line. Therefore, they represent the same number. From the paper folding exercises, we see that increasing both numerator and denominator of a fraction by the same factor gives an equivalent or equal fraction.
Hope this helps :) Just know I tried.
Answer this correctly I’ll give brainalist + 10 points
Answer:
x = 43
Step-by-step explanation:
Since these angles are inside a right angle, we know their sums are complementary (they add up to 90°.)
x + x + 4 = 90
2x + 4 = 90 | Combine x's
2x = 86 | Subtract 4 from both sides
x = 43 | Divide both sides by 2
2+׳
What's the answer?
Answer:
x^3+2
Step-by-step explanation:
I need help and I don’t know how to check it
Answer:
y=2x+3
Step-by-step explanation:
Use a double number line to answer Problem 1-5.
Tanner collected 360 cans and bottle while fundraising for his baseball team. This eas 40% of what Reggie collected. How many cans and bottles dif Reggie collect?
Answer:
900 cans and bottles.
Hope that helps!
Step-by-step explanation:
360 / 4 = 90
90 x 100 = 900
Hope that helps!
Which transformation could NOT be used to prove that two circles are congruent to one another?
a dilation with a scale factor of 2
a dilation with a scale factor of 1
a reflection
a rotation
Answer:
the congruent the congruent???
Step-by-step explanation:a dilation a dilation with two factors???
The transformation which could not be used to prove that two circles are congruent to one another is dilation with a scale factor of 2.
Option A is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
We have,
Dilation:
It changes the size of the figure so, the transformed figure is not congruent with the original figure.
Scale factor = 1 will not change the size of the figure.
Scale factor = 2 will change the size of the figure.
Reflection:
It does not change the size or the shape.
Rotation:
It does not change the size or the shape.
Thus,
The transformation of dilation with a scale factor of 2 could not be used to prove that two circles are congruent to one another.
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Please help!!! I'm very confused! Im giving points for it but if please tell the truth <3
Answer:
A
Step-by-step explanation:
It actually trying to trick you with a double negative
Answer:
A
Step-by-step explanation:
Squares do have right angles, if they did not have to then all other ssquares with no right angles would be considered rhombuses.
The question is sking which does not apply, a does not apply but thats what theyre asking so its a