Answer:
The answer is 405
Step-by-step explanation:
FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405
Hope this helped!
A right triangle has legs of 21 inches and 28 inches whose sides are changing. The
short leg is decreasing by 7 in/sec and the long leg is shrinking at 7 in/sec. What is
the rate of change of the hypotenuse?
Using the Pythagorean Theorem, it is found that the rate of change of the hypotenuse is of -9.8 in/sec.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Applying implicit differentiation, the rate of change of the hypotenuse is given by:
[tex]2h\frac{dh}{dt} = 2l_1\frac{dl_1}{dt} + 2l_2\frac{dl_2}{dt}[/tex]
[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]
In this problem, we have that the parameters are given as follows:
[tex]l_1 = 21, \frac{dl_1}{dt} = -7, l_2 = 28, \frac{dl_2}{dt} = -7[/tex]
[tex]h = \sqrt{l_1^2 + l_2^2} = \sqrt{21^2 + 28^2} = 35[/tex]
Hence, the rate of change of the hypotenuse, in inches per second, is given by:
[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]
[tex]35\frac{dh}{dt} = 21(-7) + 28(-7)[/tex]
[tex]\frac{dh}{dt} = \frac{21(-7) + 28(-7)}{35}[/tex]
[tex]\frac{dh}{dt} = -9.8[/tex]
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There are 6 options on the dessert menu at a restaurant. Akira and Paula like all of the choices equally, so they each choose a dessert at random from the menu. What is the probability that Akira will choose apple pie and Paula will choose strawberry cheesecake for dessert? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
Answer:
1/6 = 0.17 Step-by-step explanation:
Need to know this asap number 6 and 7
The equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex] and the points that do not represent a function is (c)
The equation that does not assign one value to yTo do this, we simply make y the subject of formula.
So, we have:
[tex]\frac 5y = 7x + \frac{10}{2y}[/tex]
Simplify
[tex]\frac 5y = 7x + \frac{5}{y}[/tex]
Subtract 5/y from both sides
[tex]0 = 7x[/tex]
Rewrite as:
[tex]x = 0[/tex]
This means that the value of x is 0 irrespective of the value of y
Hence, the equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex]
The points that do not represent a functionFor a set of point to represent a function, the points must represent a one-to-one or many-to-one relationship.
From the list of options, option (3) represents a one-to-many relationship.
This is so because one x value has 3 y values
Hence, the points that do not represent a function is (c)
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ANOTHER QUESTION! please help! will make branliest
Answer: Total: 10 3/4
Step-by-step explanation:
This is part of Ivan's homework. A line segment, AB, goes from the point A(4, 7) to the point B(9, 3). AB is translated 3 squares left and 2 squares down. The image of AB is AB. Work out the coordinates of A' and B. Solution A' is at (7, 5). B' is at (12, 1). Ivan has worked out the coordinates of A' and B' incorrectly.
Explain the mistake that he has made.
Ivan mixed up left and right.
He mistakenly added 3 to the x coordinate to shift the points 3 units right, when instead he should have subtracted 3 from the x coordinate to go 3 units left.
Luckily, Ivan correctly shifted the points 2 units down.
The coordinates of A' and B' should be (1,5) and (6,1) respectively.
Refer to the diagram below.
Bo's family took a road trip to Niagara Falls. Bo fell asleep 84% of the way through the trip. If the total length of the trip was 600 miles, how many miles had they travelled when Bo fell asleep?
Answer:
504
Step-by-step explanation:
4 kg of bananas and 3 kg of apples cost £7.50. 3kg of bananas and 5 kg of apples cost £8.10. work out how much 2kg of bananas and 2kg of apples cost
Answer:
£4.20
Step-by-step explanation:
Let :
cost of 1 kg banana = xcost of 1 kg apple = yEquations formed :
4x + 3y = 7.50 [Equation 1]3x + 5y = 8.10 [Equation 2]Multiply Equation 1 by 5 and Equation 2 by 3 :
20x + 15y = 37.509x + 15y = 24.30Subtract the newly formed equations :
11x = 13.20x = 1.20Finding y :
4(1.20) + 3y = 7.504.80 + 3y = 7.503y = 2.70y = 0.90Then :
Cost of 1 kg banana = £1.20Cost of 1 kg apple = £0.90Cost of 2 kg bananas and 2 kg of apples :
2(1.20) + 2(0.90)2(2.10)£4.20Desmond opened a savings account and deposited $600.00 as principal. The account earns
6% interest, compounded annually. What is the balance after 6 years?
Use the formula A = P(1+r/n)^nt
where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.
Answer:
$826.28
Step-by-step explanation:
Given:
[tex]P = 600[/tex]
[tex]r = 6% or 0.06[/tex]% or [tex]0.06[/tex]
[tex]t = 6[/tex]
Work:
[tex]A=Pe^{rt}[/tex]
[tex]A=600e^{0.06*6}[/tex]
[tex]A=600e^{0.36}[/tex]
[tex]A=826.28[/tex]
Therefore, the balance after 6 year is 826.28.
An aquarium in a restaurant is a rectangular prism and measures 3.5 feet by 4 feet by 3 feet. What is the volume of the aquarium?
A) 42 cubic feet
B) 15.5 cubic feet
C) 36 cubic feet
D) 10.5 cubic feet
Please help me!!? Number 6
Answer:
the b believes in me
Step-by-step explanation:
B)75km etc
1hr
[tex]\frac{75 \text{ km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}[/tex]
========================================================
Explanation:
We'll use the following facts (either memorized or written on a reference sheet somewhere)
1000 m = 1 km1 hr = 60 min1 min = 60 secEach of those equations will form conversion factors to help us go from km/hr to m/s. Each conversion factor is a fraction connecting the two sides of the equation. Example: The equation 1000 m = 1 km forms the conversion factor of [tex]\frac{1000 \text{ m}}{1 \text{ km}}[/tex]
In choice B, notice how the fractions are set up. The "km" units cancel when dividing. The same goes for the "hr" and "min" units.
Check out the screenshot below where I show this cancellation in action. The color-coding helps show how the terms pair up and cancel.
Choice A comes close to what choice B is saying, but we don't have the "min" units cancel. So choice A is eliminated as an answer.
Choices C and D are also eliminated because of the "75 km" in the denominator. It should be 1 km.
there are 18 sweets in a packet. 8 of the sweets are mint what fraction of the sweets are not mint
Answer:
10/18 of the sweets are not mint
you can also simplify this fraction and say 5/9
what is the anwer to 81 = 27x-4
Answer: x= [tex]\frac{85}{27}[/tex]=x
Step-by-step explanation:
1. Add 44 to both sides.
81+4=27x
2. Simplify 81+4 to 85.
85=27x
3. Divide both sides by 27.
[tex]\frac{85}{27}[/tex]=x
4. Switch sides.
X= [tex]\frac{85}{27}[/tex]
Decimal form: 3.148148
I need help solving this
The end behavior of the function is:
as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞So the correct statement is the second one.
How is the end behavior of the graphed function?
For a function f(x), the end behavior is how f(x) behaves when:
x ⇒ ∞x ⇒ -∞If you look at the graph, you can see that in both ends (left and right) the function ends going upwards. This means that in both limits, the function will tend to positive infinity.
Then the end behavior is:
as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞So the true statement is the second one.
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O A. Function fis even.
ОВ.
Function fis neither even nor odd.
O C.
Function fis both even and odd.
D.
Function fis odd.
F(x)= -8x^5+4x^3+5x
Answer:
D) Function f is odd
Step-by-step explanation:
There are three ways to solve this problem:
Method 1
Recall that a function is even if [tex]f(x)=f(-x)[/tex] and odd if [tex]-f(x)=f(-x)[/tex] for all x. Hence, we evaluate [tex]f(-x)[/tex] to check if the function is even, odd, both, or neither:
[tex]f(x)=-8x^5+4x^3+5x\\\\f(-x)=-8(-x)^5+4(-x)^3+5(-x)\\\\f(-x)=8x^5-4x^3-5x[/tex]
Here, we can see that the signs of the original terms switched to their opposite operations, so it is clear that [tex]-f(x)=f(-x)[/tex], which tells us that the function is odd.
Method 2
A function is odd if it has symmetry about the origin, and even if it has symmetry about the y-axis. We can clearly see on the graph there is origin symmetry, so the function is odd.
Method 3
A function is even if every term in that function has an even degree, or odd if every term has an odd degree. We can see that the degrees of each term are odd, so we can conclude that the function is odd.
PLEASE HELP THIS IS WORTH 100 POINTS
You will not be writing a complete argumentative essay.
Topic question: Should violent video games be banned?
Instructions: You will organize an argument for banning violence from teens’ video games because violent video games are harmful. Read the evidence below and then organize your argument. (Copy and paste the outline below into the feedback box and add your information.)
Argument Organizer
Claim:
In your own words
Reason 1:
In your own words
Support for Reason 1:
Quote from the evidence below
Reason 2:
In your own words
Support for Reason 2:
Quote from the evidence below
Counterclaim:
What is the opposing point of view
Rebuttal Support:
Quote from the evidence below
Conclusion Clincher:
Negative effects that will occur if your readers do not follow your claim
____________________________________
EVIDENCE 1
Negative Effects of Violent Video Games
In studies conducted by neuroscientists, it was found that teens who regularly play violent video games have lower rates of success in school than teens who do not play violent video games. The same parents who ban violent televisions shows from being watched in their homes must also be careful about the types of video games their teens play. Teens love their games, but their future is at stake.
____________________________________
EVIDENCE 2
Negative Effects of Violent Video Games
Fights among best friends and disagreements with peers are a natural part of a teen's daily life, but studies have consistently shown that teens who play violent video games on a regular basis are more aggressive with peers than teens who do not play these games. Is society willing to ban these violent games to support teen relationships?
Excerpt from "Adolescent Health Sociology Journal
____________________________________
EVIDENCE 3
Negative Effects of Violent Video Games
A study conducted by teen psychologists found that teens who regularly play violent video games are more prone to having fights and confrontations with adults at home, school and work. Teens want the freedom to play games of their choice, but they need to be aware of the dangers.
Study by Anderson, Gentile and Buckley (2007)
Answer:
No
Step-by-step explanation:
Violent video games should not be ban because violent video games improve your skills, there is less violence, and banning violent video games is against the fourteenth amendment. Violent video games strengthens and coordinate visual skills.
Some ideas!
Answer:
hey
Step-by-step explanation:
Aide moi svp ses pour demain
Answer:
Step-by-step explanation:
E= 10/11 f=-5/9 G=4/10 H=-8/12
Factor completely.
Show all work.
a) ²−7−18
b) 2²−26+24
c) 10²+37+7
d) ²−25
e) 42−4+1.
f) 144²−36
Answer: First find the GCF ( greatest Common Factor):-
GCF of 16, 24 and 48 is 8
GCF of the x terms is x^3
GCF of the y terms is y^4
So GCF is 8x^3y^4
Factoring:-
= 8x^3y^4 ( 2x^6y^4 - 16x^2y^2 + 3) answer
Step-by-step explanation:
please help me solve this
[tex]~~~~~\sin 30^{\circ} = \dfrac{x}{6}\\\\\implies \dfrac 12 = \dfrac x6\\\\\implies x = \dfrac 62 \\\\\implies x= 3.0~ \text{cm}[/tex]
[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
The question can be easily solved applying trigonometry ~
We know that ,
[tex]\bold{ \sin(\theta) = \frac{perpendicular}{hypotenuse}} \\ [/tex]
Given - θ = 30° and hypotenuse = 6cmTo find - the perpendicular , i.e. , value of xSubstituting the values in the formula of sin θ
[tex] \sin(30\degree) = \frac{x}{6} \\ [/tex]
now , we know that sin 30° = 1/2
[tex]\therefore \: \implies \frac{1}{2} = \frac{x}{6} \\ [/tex]
on cross multiplying ,
[tex]\implies \: 2x = 6 \\ [/tex]
dividing both sides of the equation by 2 ,
[tex] \implies \: \cancel \frac{2x}{2} = \cancel\frac{6}{2} \\ \\ \implies \: \boxed{x = 3 \: cm}[/tex]
hope helpful ~
Find the surface area and the volume of the cylinder below.
Answer:
70
Step-by-step explanation:
10x7=70. basically, bxh base 10 height 7
What is the surface area of the composite solid? a rectangular prism with a length of 2 meters, width of 8 meters, and height of 2 meters. a rectangular prism with a length of 2 meters, with of 3 meters, and height of 11 meters. 119 m2 146 m2 162 m2 174 m2
Using the formula for the surface area of a rectangular prism, the surface area of the composite solid is: C. 162m²
What is the Surface Area of a Rectangular Prism?Surface area of a rectangular prism = 2(wl+hl+hw)
Surface area of the composite shape = surface area of the larger prism + surface area of the smaller prism - area of the face both prisms are joined together
Surface area of the larger prism = 2(wl+hl+hw) = 2(2×3 + 9×3 + 9×2) = 102 m²
Surface area of the smaller prism = 2(wl+hl+hw) = 2(2×8 + 2×8 + 2×2) = 72 m²
Area of the face both prisms are joined together = 2(l×w) = 2(3 × 2) = 6 m²
Surface area of the composite shape = (102 + 72) - 12 = 162m²
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Answer:
its c
Step-by-step explanation:
i took the test
The elevator at the local mall has a weight limit of 1,800 pounds and requires that the maximum person allowance be no more than nine people. let represent the number of people. write an inequality to describe the maximum allowance of people allowed in the elevator at one time.
Answer: 9? I’m not sure but it seems like it’s 9 as it mentions it in the problem
Two lines intersecting at a right angle
Oform a line.
Oare parallel.
Oare perpendicular.
Oform a ray.
Find the area of the irregular figure.
4 in.
6 in.
A = [? ]in.²
10 in.
7 in.
11 in.
6 in.
Answer:
160 square inches
Step-by-step explanation:
You can split the irregular figure up into regular shapes:
the top 4x6 inch rectangle
the middle section can be a 18x6 rectangle (added 7+11 for the length)
the bottom 4x7 rectangle (sibtracted 10-6 for the width)
Then, find the area of each section with the equation A = lw.
A= 4(6) = 24 square inches
A = 18(6) = 108 square inches
A = 4(7) = 28 square inches
Add these areas up to get the total area of the irregular figure.
24 + 108 + 28 = 160 square inches
20points Need help asap
Answer:
Equation
5xP
graph:
for every 1 person Lets say its X for people
and then y for price
1,5
2,10
3,15
etc.
Two men walk at rates of 6 miles per hour and 10 miles per hour, respectively. Simultaneously, they started from the same place walking in opposite directions. In how many hours will they be 200 miles apart?
The time taken by the two men will be equal to 26 hours
What is speed?The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
here two men are walking at different speeds like
v₁=6 miles per hour
v₂=10 miles per hour
The time taken by them to separated by the distance of 100 miles each so that both of them separated by the distance of 200 miles.
t₁= {100}/{6}=16.66 hours
t₂= {100}/{10}=10 hours
total time taken will be
t₁+t₂=16.66+10=26.66 hours
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Ms. Lewis is hiring a carpenter to repair her shed. The cost of Carpenter L is shown in the table.
A table titled Carpenter L Costs is shown. It has three columns and two rows. Row one is labeled Hours, h. Row two is labeled Cost, c. One hour, one hundred eighty-seven dollars. Two hours, two hundred fifty-nine dollars. Three hours, three hundred thirty-one dollars.
Part A. What is the initial cost and hourly rate of Carpenter L?
Part B. Write an equation to represent the function shown in the table.
Part C. Carpenter N charges $60 per hour and an additional $195 for the materials needed. What is the difference in cost between Carpenter N and Carpenter L if the repair takes 6 hours?
Enter the correct answers in the boxes.
Answer:
A. $115; $72/hour
B. c = 72h + 115
C. $8
Step-by-step explanation:
Part A.
1 hour: $187
2 hours: $259
2 hours - 1 hour = 1 hour
$259 - $187 = $72
$72/hour
The hourly rate is $72/hour.
Since for the first hour he charges $187, and only $72 comes from the hourly rate, then the initial cost is $187 - $72 = $115.
The initial cost is $115.
Part B.
c = 72h + 115
Part C.
Carpenter L for 6 hours:
c = 72(6) + 115 = 547
$547
Carpenter N for 6 hours:
60(6) + 195 = 555
$555
Difference: $555 - $547 = $8
Please help me with this. Brainliest for right answer
Answer:
40
Step-by-step explanation:
NEED HELP WITH THIS!!!you survey your fellow algebra students and find out how many assignments they have copied from online sources and their score in their final exam. You find a correlation coefficient of -.089. How accurate will your predictions be with future students and why. Also, what does a negative correlation coefficient mean in terms of the relationship between how many assignments students have cheated on and their final exam score?
Answer:
Not very. The closer the value of your correlation coefficient is to 0, the weaker the correlation. Here, our correlation coefficient is only 0.089 away from 0 - in other words, there's not much correlation in the number of plagiarized assignments and the score on their final exam. If you were to plot this data on a graph, it would look like a pretty sparse "blob" of dots, where with a higher correlation, we'd expect a tighter grouping around the line of best fit. See the illustration for an example of strong/weak correlation in both negative and positive directions.
The sign of our correlation coefficient is negative, which means that generally, for what weak correlation we have, the score on the final exam goes down as the number of copied assignments go up. This makes sense - the more assignments you copy, the less you tend to retain.
1. SSS
2. SAS
3. SSA
4.ASA
5. AAA
6. AAS
7. HL
8. Not Enough Information
What is the solution to the equation ?
p = –6
p =
p = –4
p =
The solution to this equation is p = -6
This expression is related to a First Degree Equation.First degree equation is a mathematical expression and sentence, which is defined by having only one unknown. Its representation is given by: ax+b=0.
— To solve this expression, let's eliminate these square root symbols:
√-5p = √24-p
-5p = 24 - p
— Move the p term before the positive sign equality, thus also shifting the 24th term:
-5p = 24 - p
-5p + p = 24
-4p = 24
— Finally, let's divide the second to the first term of this equation:
-4p = 24
p = 24 ÷ (-4)
p = -6
Therefore, the correct result of this expression will be p = -6