Answers
Answer:
10x^2 + 8x
Step-by-step explanation:
Area of the outer rectangle = 5x(3x + 2) = 15x^2 + 10x
Area of the inner rectangle = x(5x - 2) = 5x^2 - 2x
Area of the shaded region = (15x^2 + 10x) - (5x^2 - 2x)
= 10x^2 + 8x
5x(3x + 2) - x(5x - 2) required expression.
Step-by-step explanation:
I get there are 2 rectangles in figure.
How can I get the area of shaded region? What if, I subtract the area of inner rectangle from outer rectangle. Ya It will surely work (⌒o⌒).
Now,
Area of outer rectangle = [tex]\sf length \times breadth[/tex]
[tex]5x \times (3x + 2)[/tex]
[tex]5x(3x + 2)[/tex]
Again,
Area of inner rectangle = [tex]\sf length \times breadth[/tex]
[tex]=x \times (5x - 2)[/tex]
[tex]=x(5x - 2)[/tex]
[tex] \sf Area \:of \:Shaded\: region = \: Area_{\:outer}-Area_{\:inner}[/tex]
[tex] \sf \: 5x(3x + 2) - x(5x - 2)[/tex]
If We simplify further then,
= 15x² + 10x - 5x² + 2x
= 10x² + 12x
Area of shaded region is 10x² + 12x in a simple way.
Related Questions
-1+(4+7)=(-1+4)+7 what property is this
Answers
Answer:
Associative Property.
Step-by-step explanation:
The Associative Property is the property that says that (a + b) + c = a + (b + c).
Hope this helps!
Answer:
Associate Property
Step-by-step explanation:
I found my answer at baba com
The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, where h(x) is the height, in feet, and x is the horizontal distance, also in feet. The path begins and ends at the same height, covers a total horizontal distance of 100 feet, and reaches a maximum height of 250 feet. Which of the functions could be used to model this situation? A. h(x)=-0.1x^2-50x+250 B. h(x)=-0.1(x-50)^2+250 C. h(x)=-0.1(x-100)^2+250 D. h(x)=-0.1x^2+100x+250
Answers
Answer:
C
Step-by-step explanation:
0.1(x - 100)² + 250
0.1[(x - 100)(x - 100)] + 250
0.1(x² -200x + 10000) + 250
0.1x² - 20x + 1000 + 250
0.1x² - 20x + 1250
0.1x² - 25x + 5x + 1250
0.1x(x - 250) + 5(x + 250)
∴ (0.1x + 5)(x - 250) or (0.1x + 5)(x + 250)
HELP PLEASE !!!!
A
B
C
D
E
???
Answers
Answer:
A is the answer
Step-by-step explanation:
first take out the common factors ithe numerator and then after that take the common factors of denominator and then common terms cancels off and 3/n will remain
Answer:
A
Step-by-step explanation:
Factorize.
(3m(2m² + n²)/(mn(2m² + n²))
Cancel common factor.
3m/mn
Simplify.
3/n
Evaluate 3x2 - 4 when x = 2.
A. 12
B. 32
c. 2
D. 8
Answers
Answer:
8
Step-by-step explanation:
3x^2 - 4
Let x = 2
3 * 2^2 -4
Exponents first
3 *4 -4
Then multiply
12 -4
Now subtract
8
[tex]\text{Plug in and solve:}\\\\3(2)^2-4\\\\3(4)-4\\\\12-4\\\\8\\\\\boxed{\text{D). 8}}[/tex]
Bella's back garden deck cost ₹5,391.47 per square metre to build. The deck is 11 metres wide and 12 metres long. How much did it cost to build the deck ...? brainliest as well as thanks also pleaase
Answers
Answer:
₹711,674.04
Step-by-step explanation:
1.firstly we need to solve for the total area of Bella's back garden deck.
2. Then we need to estimate mate the total cost of the garden given that a square metre cost ₹5,391.47 to build.
Given
length of garden = 12 metres
width of garden = 11 metres
Hence the area of the garden is given as
[tex]Area= length* width[/tex]
[tex]Area = 12*11= 132m^2[/tex]
if a square metre cost ₹5,391.47 to build.
132 square metre will cost= ₹5,391.47*132= ₹711,674.04
Find the perimeter of a square with a diagonal of 15√2.
Answers
Answer:
15
Step-by-step explanation:
Answer:
21.213
Step-by-step explanation:
which of the following is equivalent to (x+4)(3x^2+2x)??
Answers
Answer:
c
Step-by-step explanation:
The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2. What is the lateral area of the smaller cylinder? 17.1π mm2 33.6π mm2 60π mm2 84π mm2
Answers
Answer: Step 1
Find the scale factor
we know that
If the two cylinders are similar
then
The ratio between the circumference of the larger cylinder to the circumference of the smaller cylinder is equal to the scale factor
Step 2
Find the lateral area of the smaller cylinder
we know that
If the two cylinders are similar
then
The ratio between the lateral area of the larger cylinder to the lateral area of the smaller cylinder is equal to the scale factor squared
Let
x--------> the lateral area of the larger cylinder
y-------> the lateral area of the smaller cylinder
z--------> the scale factor
In this problem we have
substitute in the formula and solve for y
therefore
the answer is
33.6π mm2
The correct option is Option D: the lateral area of the smaller cylinder is 84π mm².
What is the lateral area of the cylinder?The lateral area of the cylinder is the area of the curved surface which can be calculated by the formula given below
lateral area of the cylinder= 2πrl
where r is the radius of the cylinder and l is the length of the cylinder.
Here given that the two cylinders are similar.
The larger cylinder has base of circumference = 60π mm
As we know the circumference of base of cylinder= 2πR
⇒60π= 2πr
⇒2πR= 60π
Given the lateral area of the larger cylinder is 210π mm²
From above formula, it is clear that the lateral area of the cylinder= 2πrl
⇒ 210π = 2πrl
⇒2πRl= 210π
⇒60πl= 210π (as from above it is derived that 2πr= 60π)
⇒l= 210π/ 60π= 7/2
⇒l= 3.5 mm
the smaller cylinder has base of circumference = 24π mm
⇒ 2πr= 24π mm
then the lateral area of the smaller cylinder is= 2πrl= 24π*3.5= 84π mm²
Therefore the correct option is Option D: the lateral area of the smaller cylinder is 84π mm².
Learn more about the lateral area of the cylinder
here: https://brainly.com/question/2292413
#SPJ2
Harry took a loan from the bank. D represents Harry's remaining debt (in dollars) after t months. D = -200t + 9000 What was the size of Harry's loan? Please HELPPP Im not allowed to stand up from my chair until i finish this and i've been at it for 1 HOUR PLEASEEEEEEEEEE thank you so much to who ever answers this YOU ARE THE BESTTTTTTT
Answers
Answer:
9000
Step-by-step explanation:
the inital ammout which is 9k is the size of the loan
-200 because he years 200 dollars per month
but the start up number is 9000 and he repays the load at 200 dollars a month
Each of three jars is filled with blackcurrant, raspberry, or strawberry jam. The labels on each are "raspberry", "strawberry," and "raspberry or strawberry." All three labels are wrong. What kind of jam is in the jar labeled "strawberry?
Answers
Answer:
Raspberry
Step-by-step explanation:
Strawberry label = raspberry
Raspberry label =strawberry
Strawberry and Raspberry label = blackcurrant
The gray figure has been transformed in different ways.
Tell whether each statement is True or False.
Answers
Answer:
False ,false,true, true and true
Step-by-step explanation:
multiply: 4x ^3sqrt 4x^2 (2 ^3sqrt 32x^2 * x ^3sqrt 2x)
Answers
Answer:B on edge 2020 :)
Step-by-step explanation:
its b
Step-by-step explanation:
edge 2022
A wise old owl climbed up a tree whose height was exactly ninety plus three. Every day the owl climbed up 18 and every night climbed down 15. On what day did the owl reach the top of the tree?
Answers
Answer:
He reached the top of the tree on the 31st day
Step-by-step explanation:
The total distance for the owl to climb is 93 units.
If the owl climbed 18 units up the tree every day without coming down, the owl would have taken 93/18 days to reach the top of the tree.
However, the owl descends by 15 units every night. This just reduces the overall distance covered at the end of each day's climb.
The net distance covered by the owl after each day is 18-15 units = 3 units of climb. This is the steady distance the owl gains up the three at the end of each day after the ascent and descent.
The time taken for the climb moving at this pace of 3 units per day will be
93 units / 3 units per day = 31 days
This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was that the regular movie attendant enjoyed the movie with 8.3 points and a standard deviation of 0.5 points. What is the percent of people who gave the movie a rating between 6.8 and 8.8? (Write the number as a percent only without a percent sign.)
Answers
Answer:
The percentage that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = 83.9≅ 84 percentage
Step-by-step explanation:
Step(i):-
Mean of the Population = 8.3 points
Standard deviation of the Population = 0.5 points
Let 'X' be the random variable in normal distribution
Let X = 6.8
[tex]Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3[/tex]
Let X = 8.8
[tex]Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1[/tex]
The probability that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = P(-3≤Z≤1)
= P(Z≤1)- P(Z≤-3)
= 0.5 + A(1) - ( 0.5 -A(-3))
= A(1) + A(3) (∵A(-3)=A(3)
= 0.3413 +0.4986 (∵ From Normal table)
= 0.8399
Conclusion:-
The percentage that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = 83.9≅ 84 percentage
Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.)
Answers
Answer:
Relative frequencies:
Headaches = 23.55 %
Hypertension = 8.68%
Upper respiratory tract infections =24.79%
Nasopharyngitis = 21.07
Diarrhea = 21.09%
None of these adverse reactions appear to be much more common than the others.
Step-by-step explanation:
Compute frequency:
The number of adverse reactions categories:
Headaches
Hypertension
Upper respiratory tract infections
Nasopharyngitis
Diarrhea
Frequency of each adverse reaction:
Adverse reaction Frequency
Headaches 57
Hypertension 21
Upper respiratory tract infections 60
Nasopharyngitis 51
Diarrhea 53
Compute total frequency
Total frequency is compute dby taking sum of all frequencies;
Sum of frequencies = 57 + 21 + 60 + 51 + 53
= 242
Compute relative frequency:
In order to find if any one of these adverse reactions appear to be much more common than the others, we have to compute relative frequency using these adverse reactions.
By calculating relative frequency we are looking at the number of times a specific adverse reaction appears to be more common, compared to the others.
To calculate relative frequency, divide the frequency of each adverse reaction by the total frequency i.e. 242.
Relative frequency for Headache = 57 / 242
= 0.2355
= 23.55 %
Relative frequency for Hypertension = 21 / 242
= 0.0868
= 8.68 %
Relative frequency for Upper respiratory tract infections = 60 / 242
= 0.2497
= 24.97 %
Relative frequency for Nasopharyngitis = 51 / 242
= 0.2107
= 21.07 %
Relative frequency for Diarrhea = 53 / 242
= 0.2190
= 21.90 %
If you observe the relative frequencies of all the adverse reactions, none of them appear to be much more common than the others. Relative frequencies of headaches, upper respiratory tract infections, nasopharyngitis and diarrhea are almost equally common however, relative of hypertension appears to be very less than the other three.
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere?
Answers
Answer:
Volume of the sphere is 66.67r/h
Step-by-step explanation:
Hello,
Volume of a sphere = ⁴/₃πr³
Volume of a cylinder = πr²h
The volume of the cylinder = 50ft³
But the cylinder and sphere both have the same radius and height
Volume of a cylinder = πr²h
50 = πr²h
Make r² the subject of formula
r² = 50/πh
Volume of a sphere = ⁴/₃πr³
Put r² into the volume of a sphere
Volume of a sphere = ⁴/₃π(50/πh)r
Volume of a sphere = ⁴/₃ × 50r/h
Volume of a sphere = ²⁰⁰/₃ r/h
Volume of a sphere = 66.67r/h
The volume of the sphere is 66.67r/h
the domain for f(x) and g(x) is the set of all real numbers.
let f(x) = 3x + 5 and g(x) = x^2. find (f - g)(x).
Answers
Answer:
(f - g)(x) = - x² + 3x + 5Step-by-step explanation:
[tex]D_f=D_g\quad\implies\quad (f-g)(x)=f(x)-g(x)\\\\\\(f-g)(x)=f(x)-g(x)=(3x+5)-(x^2)=-x^2+3x+5[/tex]
How does the graph of y = a(x – h)2 + k change if the value of h is doubled? The vertex of the graph moves to a point twice as far from the x-axis. The vertex of the graph moves to a point twice as far from the y-axis. The vertex of the graph moves to a point half as far from the x-axis. The vertex of the graph moves to a point half as far from the y-axis.
Answers
Answer:
The vertex of the graph moves to a point twice as far from the y-axis.
Step-by-step explanation:
How does the graph of y = a(x – h)2 + k change if the value of h is doubled?
The vertex of the graph moves to a point twice as far from the x-axis.
The vertex of the graph moves to a point twice as far from the y-axis.because the role of h is to indicate the distance of the vertex from the y-axis.
The vertex of the graph moves to a point half as far from the x-axis.
The vertex of the graph moves to a point half as far from the y-axis.
Transformation involves changing the position of a function.
When h is doubled in [tex]\mathbf{y = a(x - h)^2 + k}[/tex], the vertex of the graph moves to a point twice as far from the y-axis.
The function is given as:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
When the value of h is doubled, the new function becomes:
[tex]\mathbf{y' = a(x - 2h)^2 + k}[/tex]
Rewrite as:
[tex]\mathbf{y' = a(x - h- h)^2 + k}[/tex]
The above equation means that:
Function y will be translated to the right by h units
Assume the vertex is:
[tex]\mathbf{Vertex = (2,5)}[/tex]
The new vertex will be:
[tex]\mathbf{Vertex = (4,5)}[/tex]
Comparing the vertices, it means that:
The new function will have its vertex twice as far from the y-axis
Hence, option (b) is correct.
Read more about transformation at:
https://brainly.com/question/13801312
Can somebody please help? i need to graph the piecewise function. i won't forget to give brainliest.
Answers
Answer: see graph (attached)
Step-by-step explanation:
Plot coordinates for each line. You MUST include the boundary points.
y = 3x - 5 x ≤ 1
Choose x = -2, then y = 3(-2) - 5 = -11
Must include x = -1, then y = 3(-1) - 5 = -8
Draw a line starting at (-1, -8) and passing through (-2, -11)
y = -2x + 3 -1 < x < 4
Must include x = -1, then y = -2(-1) + 3 = 5
Must include x = 4, then y = -2(4) + 3 = -5
Draw a line segment starting at (-1, 5) and ending at (4, -5).
Note that both are strictly less than so must have open dots.
y = 2 x ≥ 4
Must include x = 4, then y = 2
Choose x = 5, then y = 2
Draw a line starting at (4, 2) and passing through (5, 2)
Find the vertex of the graph
Answers
Answer:
(-3, -11)
i needed to put more characters so here
For f(x) = 2x + 1 and g(x) = x2 – 7, find (f – g)(x).
Answers
Answer:
-x^2 +2x +8
Step-by-step explanation:
f(x) = 2x + 1
g(x) = x^2 – 7,
(f – g)(x) = 2x +1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 - x^2 +7
Combine like terms
= -x^2 +2x +8
Answer:
its not true. Answer is (f + g)(x) = x2 + 2x - 6
Step-by-step explanation:
Trust me. Good luck.
Choose the best estimate for the division problem below.
38.064/6.12
A. 9
B. 4.
c. 6
Answers
Answer:
c.6
Step-by-step explanation:
I would estimate 6.12 to 6 and 38.064 because I know 36 is a common denominator of 6. 36/6=6
Hope this helps.
The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[tex]The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[/tex]
Answers
Using the factor theorem, we have
[tex]7x^2+x-5=7(x-a)(x-b)[/tex]
and expanding gives us
[tex]7x^2+x-5=7(x^2-(a+b)x+ab)\implies\begin{cases}ab=-5\\a+b=-1\end{cases}[/tex]
So we have
[tex](a-4)(b-4)=ab-4(a+b)+16=-5-4(-1)+16=\boxed{15}[/tex]
plzzzz answer right away will mark BRAINLIST AND FIVE STARS PLUS The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin. A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, T 2. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6. What is the probability of getting a number less than 3 and a tails? StartFraction 1 over 12 EndFraction StartFraction 1 over 6 EndFraction One-fourth One-third
Answers
Answer:
P((1 or 2) and Tail) = 1/6 = StartFraction 1 over 6
Step-by-step explanation:
A six-sided die and a coin.
Probability of getting <3 and tail.
P((1 or 2) and Tail)
= 2/6 * 1/2
= 1/6
Answer:
1/6
Step-by-step explanation:
$2,500 principal earning 4%, compounded quarterly, after 4 years $40,000.00 $41,600.00 $2,931.45 $2,924.65
Answers
Answer:
Amount= $2933.2
Step-by-step explanation:
The interest of $2,500 principal earning with rate of 4%, compounded quarterly, after 4 years
A= p(1+r/n)^(nt)
P= $2500
r= 4/100= 0.04
t= 4
n = 4*4= 16
A= 2500(1+0.04/16)^(16*4)
A= 2500(1+0.0025)^(64)
A= 2500(1.0025)^64
A= 2500(1.17328)
A= 2933.2
Amount= $2933.2
Lea’s car travels an average of 30 miles per gallon of gas. If she spent $20.70 on gas for a 172.5 mike trip, what was the approximate cost of gas in dollars per gallon?
Answers
Answer:
$3.60 per gallon.
Step-by-step explanation:
First, we look for the gallon of gas that will be used for a 172.5 mile trip:
30 miles = 1 gallon of gas
172.5 miles = ?
172.5 ÷ 30 = 5.75 gallons of gas
Let's find the approximate cost of gas in dollars per gallon:
5.75 gallons of gas = $20.70
1 gallon of gas = $?
20.70 ÷ 5.75 = $3.60
The answer is $3.60 per gallon.
PLEASE HELPPPPPP 65 points
Answers
Answer:
x + 2y ≤ 12
x + 2y = 12
Step-by-step explanation:
The teachers can not give more than 12 hours of homework so this is the answer. those are the 2 equations you can use. It under 12 hours or equal to 12 hours.
Answer:
Part A: x + 2y ≤ 12.
Part B: y = -1/2x + 6.
Part C: (0, 0).
Step-by-step explanation:
Part A: The total hours of homework have to be 12 hours, and it has to be either 12 hours or less. So, we have ≤ 12.
They take 1 math course with x hours of homework, so in total, that is 1 * x = x hours of math homework.
They take 2 science courses with y hours of homework, so in total, that is 2 * y = 2y hours of science homework.
The inequality would then be x + 2y ≤ 12.
Part B: x + 2y = 12
2y = -x + 12
y = -1/2x + 6
You can use the Math is Fun: Function Grapher and Calculator to find the graph of the line, shown below.
Part C: Since the inequality uses a ≤ symbol, we know that the shading will be underneath the line. An appropriate point below the line includes (0, 0). We will test out whether it works as a point included in the inequality.
x + 2y ≤ 12
0 + 2 * 0 ≤ 12
0 + 0 ≤ 12
0 ≤ 12
Since this is a true statement, (0, 0) holds true for the inequality.
Hope this helps!
By visual inspection, determine the best-fitting regression model for the
scatterplot.
Need help ASAP please
Answers
Answer:
its a! sorry im so late
Step-by-step explanation:
Passage 1: The creature had thick arms and legs, sharp teeth, and dark eyes. Passage 2: The creature’s legs and arms were tree trunks, its open mouth was lined with razors, and it had eyes like a starless night. How does the author’s use of figurative language in the second passage do a better job of conveying meaning than the first passage? You may choose more than one correct answer. It helps the reader understand how terrifying the creature is. It helps the reader visualize the creature. It describes the creature. It hints that the creature is a predator.
Answers
Answer:
Step-by-step explanation:
The authors use of figurative language gives the reader a better visualization of how the creature looked.
Answer:
The answer is A,B,D
Step-by-step explanation:
I took the test
very simple challenge hard question
Answers
Answer:
-58.41509433
Step-by-step explanation:
0.4+8(5-0.8*5/8)-5/(2.5)=34.4
[0.4+8(5-4/8)-(2)]=
[0.4+8(40-4)/8)-2=34.4 ( nominator)
15-(8.9-2.6/(2/3))*34*2/5 =-53
15-(8.9-3.9)*68/5
15-5*68/5=
15-68=-53 ( denominator)
(34.4/-53) *90
-58.41509433