Given:
Length of rectangle = (x+10) cm
Width of the rectangle = x cm
Perimeter = 32 cm
To find:
The length of the rectangle.
Solution:
We know that,
[tex]Perimeter=2(l+w)[/tex]
Where, l is length and w is width.
Substituting the values, we get
[tex]32=2((x+10)+x)[/tex]
[tex]32=2(2x+10)[/tex]
[tex]32=4x+20[/tex]
Subtract 20 from both sides.
[tex]32-20=4x[/tex]
[tex]12=4x[/tex]
Divide both sides by
[tex]3=x[/tex]
So, the length is
[tex]3+10=13[/tex]
Therefore, the length of the rectangle is 13 cm.
Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
The answer is Angle OKL.
If f(x)=13x3−4x2+12x−5 and the domain is the set of all x such that 0≤x≤9 , then the absolute maximum value of the function f occurs when x is
The correct format of the question is
If f(x)= [tex]\frac{1}{3}x^3 -4x^2+12x -5[/tex] and the domain is the set of all x such that 0≤x≤9 , then the absolute maximum value of the function f occurs when x is
Answer:
The absolute maximum value of the function F(x) occurs when x is 9
Step-by-step explanation:
F'(x) = [tex]x^2 -8x +12= 0[/tex]
= (x-6)(x-2) = 0
x = 2,6
so we have boundary points 0 , 9 and 2,6
The value of function at these four points
x = 0 2 6 9
F(x) = -5 17/3 -5 22
So the absolute maximum value of the given function is x = 9 and F(x) is 22.
The absolute maximum value of the function f occurs when x is 9 and this can be determined by differentiating f(x) and then equating it to zero.
Given :
[tex]\rm f(x)=\dfrac{1}{3}x^3-4x^2+12x-5[/tex]The domain is the set of all x such that 0≤x≤9In order to determine the absolute maximum value of function f(x), differentiate f(x) and then equate it to zero.
[tex]\rm f'(x)=\dfrac{1}{3}\times(3x^2)-8x+12[/tex]
Now, equate the above equation to zero.
[tex]x^2-8x+12 = 0[/tex]
Factorize the above quadratic equation.
[tex]x^2-6x-2x+12=0[/tex]
x(x - 6) - 2(x - 6) = 0
(x - 6)(x - 2) = 0
Now, determine the value of f(x) at x = 0, 2, 6, 9
f(0) = -5
f(2) = 1/3.(8) - 4(4) + 12(2) - 5
f(2) = 17/3
f(6) = 72 - 144 + 72 - 5
f(6) = -5
f(9) = 243 - 324 + 108 - 5
f(9) = 22
So, the absolute maximum value of the function f occurs when x is 9.
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Use the figure. Identify a segment skew to GH
Answer:
the answer is BE
Step-by-step explanation:
skews are lines that dont intersect or arent parallel to each other
in that case BE or CF are correct but BE is the only answer choice that works... hope it works
The line segment skew to GH is BE.
What are skew line segments?Skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron.
Given is a rectangular prism, with vertices, A, B, C, D, E, F, G and H
We are asked to identify a line segment which is skew to GH,
In the given options, EF, AD are BC are parallel to GH hence not skew, but line segment BE is neither parallel nor perpendicular to GH.
Hence, the line segment skew to GH is BE.
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"A square is a rectangle with four congruent sides" (write this statement in each of the forms below)
O hypothesis
O conclusion
O conditional
O inverse
O Converse
O contrapositive
O and biconditional
Answer:here
Step-by-step explanation:
here is the key
Solve. 5= 2M minus B divided by M plus b for b
PLEASE HELP :(
can someone help me with this question
Answer:
the answer is B i think
Step-by-step explanation:
Answer:
IN field B he has 6 more gallons then in felid A.
Step-by-step explanation:
Deandra spent $14.00 of the $20.00 in her wallet. What decimal is equivalent to the fraction of the $20.00
Deandra spent?
Answer:
0.7
Step-by-step explanation:
i converted the fraction 14/20 to decimal form lol
PLEASE HELP
ONLY ANSWER IF YOU KNOW
A: Speed is Independent as it can be anything with no restrictions. Gas mileage is dependent as it relies on the value of speed for its value to be decided.
B: The first letter of speed is "S" so it can represent the variable. The first letter of mileage is "M" so the variable can be represented by that letter. It really can be any letter.
C: no context
D: no context
A: Speed is pretty cool becuase speed has no restrictions.
B: It can be any number.
For a class of students, the association between GPA and SAT math score is roughly linear. The
equation of the least-squares regression line relating y=SAT math score to x = GPA is û = 410.54 + 67.3x. Predict the SAT math score for Jessica, who has a 3.00 GPA.
Answer:
612.44
Step-by-step explanation:
Given the linear regression equation between SAT score and GPA
y = 410.54 + 67.3x
Where
y = SAT math score ; x = GPA
THE SAT math score for Jessica who has a GPA of 3.00
x = 3
y = 410.54 + 67.3(3)
y = 410.54 + 201.9
y = 612.44
If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a showing? (Do not include labels with your answer, just type in the number.)
The answer would be 3900 money
PLZ HELP WITH THIS. WILL GIVE BRAINLIEST TO BEST ANSWER
You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per person. When you check the company’s website, you find that they also offer a special group rate. The group rate is only $8.99 per person, but also includes a $20 reservation fee in addition to the cost per person. What is the maximum number of people for whom the regular admission price would be a better deal than the group rate?
Answer:
only one more person to get back up to regular price
Step-by-step explanation:
THIS IS URGENT, IM ABOUT TO START CRYING!!!
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −5
0 −1
1 3
g(x)
g(x) = 4x + 3
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
PART A:
Finding the slope of the function f(x)
Choose any two pairs of coordinate from the table; (-1, -15) and (0, -10)
Let (-1, -15) be (x₁, y₁) and (0, -10) be (x₂, y₂)
Slope =
Slope of f(x) = 5
The function g(x) is given in the straight line equation form
Where, is the slope and is the y-intercept
Slope of g(x) = 2
-----------------------------------------------------------------------------------------------------------
g(x) = 2x + 8
Where, the slope (m) = 2 and the y-intercept (c) = 8
The y-intercept of g(x) is 8
for f(x), we can read the y-intercept when x = 0.
From the table, when x = 0, y = -10
The y-intercept of f(x) is -10
Function g(x) has higher y-intercept
-6 3/5 - (-7 4/15) + 2 /15
I need help please help me.THANKS!!
Answer:
A. 42, 120, 162
Step-by-step explanation:
27 x 6 = 162
or
42 + 120 = 162
1. A local pizzeria sold 65 pizzas yesterday.
(step 1) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.
(Part 2) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.
Answer:
Part 1
Pizzas sold last day = 65
Increasement needed in sale = 20%
pIzzas to be sold today
= 65 + 20% of 65
= 65 + 20/100 × 65
= 65 + 1/5 × 65
= 65 + 1/1 × 13
= 65 + 13
= 78
Part 2
Pizzas sold last day = 65
Pizzas sold today = 60
60 = 65 + x% of 65
60 = 65 + x/100 × 65
60 - 65 = x/20 × 13
- 5 = x/20 × 13
-5/13 = x/20
-5/13 × 20 = x
-7.692 = x
Therefore, there was a decrease in pizza sale by 7.692%
By rounding off,
The decrease in pizza sale was by 7.700%.
= 7.7%
Solve for X. x/4+9=5
Help me with this please!
Answer:
6.25x+4.50x=550
6.25x+4.50(45)=550
6.25x+202.50=550
6.25x+202.50-202.50=550-202.50
6.25x=347.50
6.25x÷6.25=347.50÷6.25
x=55.6
she could get 55 adult size T-shirts
I hope this is good enough:
On Melissa's 6th birthday, she gets a $4000 CD that earns 6% interest, compounded quarterly. If the CD
matures on her 16th birthday, how much money will be available?
Answer:
On melissa's 6th birthday, she gets a $4000 cd that earns 3% interest, compounded quarterly. If... | like | dislike ... The amount accumulated in a certificate of deposit (CD) is found using the compound interest formula as a CD also earns compounding interest. ... The number of years between the 6th and 12th birthdays is 6
Step-by-step explanation:
There will be $41142.87 available on Melissa's 16th birthday.
What is compound interest?Interest accrued on both the principal sum of money and the interest already earned.
The formula for compound interest is p(1+r/100)ⁿ - p
Where p is principal, r is rate and n is time.
Given that,
Amount that Melissa gets on her 6th birthday = $4000
Rate of interest = 6% compounded quarterly.
Melissa gets amount on her 16th birthday, time = 6 years
The amount that Melissa will get on her 16th birthday
= 4000(1+6/100)¹⁰ˣ⁴
= 4000 (106/100)⁴⁰
= 4000 x 10.2857
= 41142.87
Melissa will get $41142.87 on her 16th birthday.
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HELP ! What is the negative reciprocal of 85 ? And how do you solve it ? I’ll give you BRAINLY !
Answer:
-1/85
Step-by-step explanation:
find the reciprocal of 85: to find a reciprocal you switch the place of the numerator and the denominator so the reciprocal of 85/1 is 1/85
add a negative sign to it: -1/85
hopefully this helps :)
Answer:
0.11
Step-by-step explanation:
You divide 1 by 85
A teacher divided 60 stickers among 3 students in a ratio of 2:3:5. How many stickers did each student receive?
Answer:
12:18:30
Step-by-step explanation:
I do RSM too, have a good day :)
The number of stickers did each student receive get is 12, 18 and 30 respectively.
Given that, a teacher divided 60 stickers among 3 students in a ratio of 2:3:5.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 2+3+5=10
Number of stickers student 1 get
= 2/10 × 60
= 12
Number of stickers student 2 get
= 3/10 × 60
= 18
Number of stickers student 3 get
= 5/10 × 60
= 30
Therefore, the number of stickers did each student receive get is 12, 18 and 30 respectively.
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HELP QUITCKLY
combine like terms to create an equivalent expression to 8(8+7J+8).
Answer: 56j + 128
Step-by-step explanation:
Answer:
56J+128
Step-by-step explanation:
8(8+7J+8)
64+56J+64
56J+128
Evaluate each value expression for the given value of the variable : 33-7w +6 when w=4
Answer:
11
Step-by-step explanation:
33-(7*4)+6
33-28+6=11
What is the vertex of y = -3(x + 5)+ 7
O (5, 7)
O (-5, 7)
O (5, – 7)
NEED HELP PLS
Answer:
Its (-5,7)
Step-by-step explanation:
When you plug it into a calculator the vertex point ends up in (-5, 7)
Here are 2 similar rectangles
Answer: There are none to choose from
Step-by-step explanation:
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.
Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
Let x = the number of packages of pasta and y = the number of jars of pasta sauce.
One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry?
How many packages of pasta?
How many jars of pasta sauce?
Explain your reasoning.
Answer:
8 packages of pasta and 8 jar of sauce which is $32 dollars and 20lbs in total
Step-by-step explanation:
8 pack of pasta is 8$ and 8lbs
8 jars of sauce is 24$ and 12lbs
8 plus 12 is 20 which is the max of lbs Tyler can carry.
Which two expressions are equivalent to each other?
Answer:
The answer is 8^11/8^5 and 8^3×8^3
8^11/8^5= 262144
8^3×8^3= 262144
You are riding a roller coaster when a shoe falls off your foot. The function y=300−16t2 represents the height y (in feet) of the shoe t seconds after it falls off your foot. The shoe lands on the top of an 11-foot-tall building. After how many seconds does the shoe hit the building?
Answer:
Time to land on 11ft is 4.25 seconds
Step-by-step explanation:
Given
[tex]y = 300 - 16t^2[/tex]
Required
Solve for t when height is 11ft
This implies that [tex]y = 11[/tex]
So: substitute 11 for y in [tex]y = 300 - 16t^2[/tex]
[tex]11 = 300 - 16t^2[/tex]
Collect Like Terms
[tex]16t^2 = 300 - 11[/tex]
[tex]16t^2 = 289[/tex]
Express both sides as squares
[tex]4^2 * t^2 = 17^2[/tex]
[tex](4t)^2 = 17^2[/tex]
Take square roots of both sides (ignore negative)
[tex]4t = 17[/tex]
Solve for t
[tex]t = \frac{17}{4}[/tex]
[tex]t = 4.25[/tex]
Hence, time to land on 11ft is 4.25 seconds
Heloooooppppo
Question 2 of 10
What happens when a country's central bank increases reserve requirements
for banks?
A. Banks are forced to set aside more of their money instead of
lending it.
B. Banks must pay the government interest on all cash they keep on
hand.
C. Banks must pay a higher interest rate to borrow money from the
government
D. Banks are required to sell all of their treasury securities on the
open market
SUBMIT
Answer: Banks are forced to set aside more of their money instead of lending it.
When the country's central bank increases reserve requirements
for banks so here bank should be forced for setting aside.
What are reserve requirements?It is the amount of funds where the bank should hold the reserve to ensure for meeting out the liabilities when the withdrawals should be done. It is applied by the central bank to rise or reduce the money supply and impact the rate of interest.
Hence, When the country's central bank increases reserve requirements
for banks so here bank should be forced for setting aside.
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Christopher is deciding between two landscaping companies for his place of business.
Company A charges $30 per hour and a $200 equipment fee. Company B charges
$50 per hour and a $100 equipment fee. Let A represent the amount Company A
would charge for t hours of landscaping, and let B represent the amount Company B
would charge for t hours of landscaping. Write an equation for each situation, in
terms of t, and determine the number hours, t, that would make the cost of each
company the same.
A=
B=
Answer:
Answer:
A=30t+200
B=50t+100
The number of hours,t, that would make the cost of each company the same is 5.
30(5)+200= A
150+200=350
50(5)+100= B
250+100=350
Step-by-step explanation:
The time required in hours for the cost for both the companies to be the same is 5 hours.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
From the given information the total cost C in terms of t for company A is,
C = 30t + 200 and for company B is, C = 50t + 100.
Therefore, the number of hours when the cost of each company would be the same is,
30t + 200 = 50t + 100.
30t - 50t = 100 - 200.
- 20t = - 100.
20t = 100.
t = 10/2.
t = 5 hours.
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Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
The answer is 79 degrees
Step-by-step explanation:
Vertically opposite angles are exactly the same. In this case M<AED and M<IEF are vertically opposite from each other.
Answer:
79°
Step-by-step explanation:
[tex] m\angle AED = 79\degree \\ .... (given) \\\\
\because m\angle IEF = m\angle AED \\ ... (Vertical \:\angle 's) \\ \\
\therefore m\angle IEF = 79\degree[/tex]
