Answers
Answer:
76 unit^2
Step-by-step explanation:
Total area: (0.5 * base * height) +( length * breadth ) + (0.5 * base * height)
= (0.5 * 8 * 2) + ( 7*8) +( 0.5 * 8 * 3) = 8 + 56 + 12 = 76
Related Questions
identify the open intervals on which the graph of the function is concave upward or concave downward.
Answers
The concavity of the function in this problem is classified as follows:
Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).When a function is concave up and when it is concave down?A function is said to be concave up when ts graph behaves like a portion of a parabola that opens upward.A function is said to be concave down when ts graph behaves like a portion of a parabola that opens upward.Hence the intervals are given as follows:
Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).More can be learned about the concavity of a function at https://brainly.com/question/31402878
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Help me please
1,894.32 minus 396.00
Answers
Answer:
1,498.32
Step-by-step explanation:
1,894.32 - 396.00 = 1,498.32 You subtract 396 from 1,894.32
Which polynomial function has a root of 1 with
multiplicity 2 and a root of 6 with multiplicity 1?
Of(x) = (x - 1)(x-6)
Of(x) = 2(x - 1)(x - 6)
Of(x) = (x - 1)(x - 1)(x-6)
O f(x) = (x - 1)(x-6)(x-6)
Answers
Answer:
C) f(x) = (x - 1)(x - 1)(x-6)
Explanation:
Multiplicity means number of times a factor appears in a particular equation.
For example, a root of 3 has multiplicity of 3 then = (x - 3)(x - 3)(x - 3)
Breakdown for this question:
If a polynomial where root of 1 has multiplicity of 2, then it means (x - 1)²
Where polynomial of root of 6 has multiplicity of 1, then it means (x - 6)
Joining them together:
(x - 1)²(x - 6) = (x -1)(x - 1)(x - 6) Hence option C is correct.
Which of the following is equivalent to S = {spring, summer, autumn, winter}?
(you may select more than one)
{x | x = states in the United States}
{x|x is a season}
{x|x = planets in our solar system}
{x | x = former Presidents of the United States}
{x|x ≥ 1 and x < 5}
{x | x = sides of a standard dice}
Answers
Answer: {x | x is a season}
Step-by-step explanation:
Spring, summer, autumn, and winter are all seasons.
Help (ಥ‿ಥ)
Factor the perfect square trinomial 25x2 - 60x + 36.
A. (5x – 4)(5x-9)
B. (5x-6)2
C. (5x - 3)2
D. (5x - 12)(5x - 3).
Answers
Answer: B
Step-by-step explanation:
Find the factor of each ff.
10x²-21x-27
Answers
Answer: (10x + 9) (x - 3)
Step-by-step explanation:
Factor by grouping
suppose y is directly proportional to x and y=40 when x=10 find y if x=16
Answers
Answer:
64
Step-by-step explanation:
16/10=1.6 and 1.6x40=64
Answer: y = 64
Step-by-step explanation:
[tex]$$Given, \\$y$ is directly proportional to $x$ \\$\Rightarrow y \propto x$ (Note: ' $\alpha$ ' be proportion/various sign) \\$\Rightarrow y=k x$ ( $k$ be the constant) \\$\therefore y=k x-$ (1)[/tex]
[tex]$$Given $y=40$ when $x=10$.So, substitute $y=40 \ \& \ x=10$ in (1) we get,$$\begin{aligned}&\Rightarrow 40=k(10) \\&\Rightarrow 10 k=40 \\&\Rightarrow k=\frac{40}{10} \text { (divide '10' both sides) } \\&\Rightarrow k=4\end{aligned}$$[/tex]
[tex]$$Put $k=4$ in (1) we get,$$y=4 x$$We substitute $x=16$ in (2) we get$$\begin{aligned}y &=4(16) \\\Rightarrow y &=64 \\\end{aligned}$$[/tex]
Find the equation of the perpendicular line, to the line: y=2x+4
Answers
Answer:
y = -1/2 x + 4
Step-by-step explanation:
y = 2x + 4
Since this equation is in slope-intercept form, the slope of the line is 2. Perpendicular lines have slopes that are negative reciprocals of each other. Thus, the slope of a line perpendicular to this line would be -1/2.
So, any equation of the form y = -1/2 x + b
it does not matter what the y-intercept of either line is. They will remain perpendicular as long as their slopes are negative reciprocals.
Need help asap thanks
Answers
Subtract and you get -1
See picture
Hey there!
Answer :[tex] \displaystyle{ \red{ \boxed{ \green{ \bold{m = - 1}}}}}[/tex]
[tex] \\ [/tex]
Explanation:To find the slope of a line using two points [tex] \displaystyle{(x_1 , y_1)} [/tex] and [tex] \displaystyle{(x_2 , y_2)} [/tex] , we can use the slope formula.
This formula corresponds to the quotient of the change in y [tex] \: [/tex] over [tex] \: [/tex] the change in x :
[tex] \displaystyle{m = \frac{ \blue{y_2} - \orange{y_1}}{ \green{x_2} - \red{x_1} }}[/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow [/tex] We are given the points (-2 , 3) and (-5 , 6) where:
[tex] \red{x_1} [/tex] = -2 [tex] \orange{y_1} [/tex] = 3[tex] \green{x_2} [/tex] = -5[tex] \blue{y_2} [/tex] = 6[tex] \\ [/tex]
[tex]\displaystyle{ \hookrightarrow m = \frac{\blue{6} - \orange{3}}{\green{-5} - \red{(-2)}}} \\ \\ \displaystyle{\implies m=\frac{3}{-3}} \\ \\ \displaystyle{\purple{\implies} \boxed{\bold{m=-1}}}[/tex]
Therefore, the slope of the line is -1.
[tex] \\ [/tex]
▪️Learn more about finding the slope of a line from 2 points :
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What is the value of x
Answers
Answer:
x = 25
Step-by-step explanation:
The measure of an inscribed angle in a circle is half the measure of the arc it subtends. The acute angles in a right triangle are complementary.
__
Inscribed angle CAD is half the measure of arc CD, so is 80°/2 = 40°.
Acute angle 2x° is the complement of angle CAD in the right triangle shown, so we have ...
2x° = 90° -40° = 50°
x = 25 . . . . . . . . . . . . divide by 2°
ANSWER THIS FOR BRAINLIEST
Answers
Answer:
(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.
Step-by-step explanation:
We are given the options,
(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.
(b) The number of accidents was reduced by 0.67 per month every month.
(c) The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.
(d) There were 0.67 accidents per month.
We can eliminate option 'c' because the accidents are obviously not increasing, but rather, decreasing. We can also eliminate option 'd' (which to a certain extent is rather vague) because there is a trend in the data. If there were only 0.67 accidents per month (which is impossible anyway), then the graph would be that of [tex]y=0.67[/tex] which is indeed a straight line. Finally, we can eliminate option 'b' because the x-axis isn't in terms of months, but drivers in the program. This leaves 'a' as the only logical answer, which we can see is true because the graph trends downward (hence the negative slope) by about 0.67 per 100 drivers. With a bit of understanding about the problem, we can eliminate the illogical answers to find the correct one!
Note: you may be wondering why the slope isn't just -0.67, but that is because then it would go down by 0.67 for each driver in the program. Therefore, the slope was divided by 100 to yield us a slope of -0.0067 which makes it go down 0.67 per 100 drivers instead of only 1 driver.
help will mark Brainliest
Answers
Answer:
10
explanation:
Masud rode his bike 48 miles in 6 days. He rode the same number of miles
each day. How many miles did he ride each day?
A 7
B 8
C 9
D 42
Answers
Which of the following are solutions to the inequality below? Select all that apply.
11 ≥ a a = 10 a = 2 a = 8 2 = 3
Answers
Answer:
a = 10
a = 2
a = 8
Step-by-step explanation:
The inequality:
11 ≥ a
We will go through all the options:
-> In short, all values less than or equal to 11 will be solutions.
a = 10
11 ≥ a
11 ≥ 10 ✓
-
a = 2
11 ≥ a
11 ≥ 2 ✓
-
a = 8
11 ≥ a
11 ≥ 8 ✓
-
2 = 3
N/A, no 'a' variable given.
Helllppppppp I can’t figure this out
Answers
Answer:
Step-by-step explanation:
2x^2 + 9x + 4=0
2x^2+8x+x+4=0
2x(x+4) +1 (x+4) =0
2x+1 = 0
x+ 4 =0
2x= -1
x= -1/2
x=-4
Therefore x = -4 and x = -1/2
What is the radius of a cone that has a lateral area of 70TT and a total surface area of 120TT?
A)50 units
B)50TT units
C)7.1 units
D)7.117 units
Answers
Step-by-step explanation:
the lateral area of the cone is, well, the lateral area.
the total surface area of the cone is the lateral area plus the area of base circle.
so, the difference between both is the area of the base circle :
120pi - 70pi = 50pi
the area of a circle is
pi×radius²
and that is in our case
pi×radius² = 50pi
radius² = 50
radius = sqrt(50) = 7.071067812... ≈ 7.1 units
therefore, C is the right answer.
Tins of paint are filled at the rate of 2m3 per minute.
How many 750 ml tins of paint can be filled in 1 hour?
Answers
Answer:
160,000 tins
Step-by-step explanation:
To find the number of tins, divide the fill rate by the volume per tin.
__
(2·(1000 L)/min)×(60 min)/(1 h)/(0.75 L/tin) = 160,000 tin/h
160,000 tins of paint can be filled in 1 hour.
_____
Additional comment
That's one tin every 22.5 milliseconds. It would be a feat of engineering to move that volume without splashing.
There are 60 minutes per hour. There are 1000 liters per cubic meter.
the time taken, t, for a journey of fixed distance is inversely proportional to the average speed of travel, s. If the journey takes 2 hours 15 minutes travelling at an average speed of 50km/hour, how long will it take if the average speed is 27km/hour. Give your answer in hours and minutes
Answers
[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]
4 hours 12 minutes
Step-by-step explanation:
We need to convert time in hours by diving 15 by 60
[tex] \sf 2 \frac{15}{60} \\ \\ \sf 2 \frac{1}{4} [/tex]
as it is mixed fraction we will convert into improper
[tex] \sf \frac{(2 \times 4) + 1}{4} \\ \\ \sf time = \frac{9}{4} hours[/tex]
Now we need to find distance
[tex] \sf \green {distance = speed \times time}[/tex]
Here speed is 50km/h
[tex] \sf \implies distance = 50 \times \frac{9}{4}km \\ \\ \sf \implies distance = \frac{25 \times 9}{2}km \\ \\ \sf \implies distance = \frac{225}{2} km \\ \\ \sf \implies \red {distance = 112.5km}[/tex]
Now we have to have time at new speed at 27km/h
and distance is same
[tex] \sf \pink{ time = \frac{distance}{speed} }[/tex]
Now substituting the value of speed and distance
[tex] \sf \implies time = \frac{112.5}{27} [/tex]
Now we will remove point(.) from the distance by multiplying 10 with 27
[tex] \sf \implies time = \frac{1125}{27 \times 10} \\ \\ \sf \implies time = \frac{41.6}{10} [/tex]
now we will convert it into mixed fraction
[tex] \sf \implies time = 4 \frac{1}{5} hours [/tex]
Now we will convert fraction hours into minutes by multiply with 60
[tex] \sf \implies time = 4 \: hours \: \frac{1}{5} \times 60 \: minutes \\ \\ \sf \implies \orange{ time = 4 \: hours \: 12 \: minutes}[/tex]
Find the domain in the following
Y=2x+5
Answers
Answer
All real numbers or (-∞, ∞)
Step-by-step explanation:
There aren't any X values that can make this linear equation output an invalid results, so we can deduce that the domain is all x values.
Answer:
All Real Numbers
Step-by-step explanation:
The Domain for a function simply is all the possible x values.
When graphing this function, you'll realize that it's continuous and passes all x values.
Additionally, when looking at it, you'll realize you can input any number of your choosing.
When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.
For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.
Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.
Hope that helps, please let me know if you have any queries.
The equation of the line in this graph is
y= ____ x+____ .
Answers
Explanation:
In slope intercept form equations, the initial value is where everything begins. In this equation, that would be at the point (0,3). From there, because it is going up toward the right side, there is a positive slope. The formula for slope is rise over run, so to get our slope, we have to go up 3 units and over 2 units.
3 1/3 divided by 1 1/5
Answers
Answer:
Step-by-step explanation:
3 1/3 is 10/3. 1 1/5 is 6/5. KCF, Keep Change Flip.
10/3 divided by 6/5 becomes 10/3 multiplied by 5/6, or 50/18.
50/18 becomes 25/9, or 2 7/9.
[tex]8x - 14 = - 2x + 6[/tex]
please give me answer of this question
Answers
Can someone please help me with this ?
Answers
Answer:
sorry I haven't learned this yet
Step-by-step explanation:
Precalculus.
Which one of these a whole number?
55
[tex]\sqrt{3}[/tex]
0.3
[tex]\frac{1}{4}[/tex]
Do answer.
Answers
Answer:
55
Step-by-step explanation:
Since whole numbers do not include fractions and decimal values, 55 is the answer
Find dy/dx if y= (x²-3)³cos2x
Answers
Answer:
dy/dx = 6x(x²-3)cos2x - 2(x²-3)³sin2x
Step-by-step explanation:
We use the Product Rule:
y= (x²-3)³cos2x
dy/dx = (x²-3)³ d(cos2x)/dx + cos2x * d ((x²-3)³)/dx
= (x²-3)³ * -2sin2x + cos2x * 3(x²-3)*2x
= -2sin2x*(x²-3)³ + 6xcos2x*(x²-3)
= 6x(x²-3)cos2x - 2(x²-3)³sin2x
The area of a rectangle is 1,036 cm and its length is 74 cm.
Find (i) its breadth (ii) its perimeter
Answers
Answer:
(i) Breadth = 14 cm
(ii) Perimeter = 176 cm
Step-by-step explanation:
Given,
Area of a rectangle = [tex]1036[/tex] cm²Length = [tex]74[/tex] cm(i) Breadth = ?
We know that, Area of a rectangle = length × breadth.
Then,
[tex]1036 = 74 \times Breadth\\1036 \div 74 = Breadth\\\boxed{\bf\:14 \:cm = Breadth }[/tex]
(ii) Perimeter of a rectangle = 2 (length + breadth)
Then,
[tex]Perimeter = 2(74 + 14)\\Perimeter = 2(88)\\\boxed{\bf\: Perimeter = 176 \: cm}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
5. A ball is thrown upward with an initial velocity of 50 feet per second. The
height h (in feet) of the ball after t seconds is given by h =
= -16t2 + 50t. At
the same time, a balloon is rising at a constant rate of 20 feet per second. Its
height h in feet after seconds is given by h = 20t.
a. When do the ball and the balloon reach the same height?
b. When does the ball reach its maximum height?
c. When does the ball hit the ground?
Answers
Answer:
SEE BELOW IN BOLD.
Step-by-step explanation:
a.
h = -16t^2 + 50t
h = 20 t
When the height is the same:
-16t^2 + 50t = 20t
-16t^2 + 30t = 0
t(-16t + 30) = 0
t = 0 or -16t + 30 = 0, so:
t = 0 or -30/-16 = 1.875
So the answer is 1.88 seconds to the nearest hundredth.
b.
For the ball
h = -16t^2 + 50t
Finding the derivative and equating to zero:
dh/dt = -32t + 50 = 0
t = -50/-32 = 1.563
Maximum height after 1.56 seconds to nearest hundredth
c.
When the ball hits the ground h = 0 so
-16t^2 + 50t = 0
-16t(t - 50/16)= 0
T = 3.13 SECONDS TO THE NEAREST HUNDERDTH
A recipe of chocolate chip cookies need 28 oz of oil for every 44 cups of flower. Approximately how many ounces of oil do you need for 89 cups of flower?
Type your answer to the nearest whole ounce
Answers
Answer:
57 ounces
Step-by-step explanation:
He needs 28 oz of oil for every 44 cups. Multiply both to get 56 oz of oil for 88. Since there is one more cup of flour, you will need one more ounce of oil.
Need help for this please
Answers
Answer:
The area of the circle is approximately 154 square meters
Step-by-step explanation:
Area of a circle formula: [tex]A = \pi r^{2}[/tex]
given:
- diameter = 14m
- pi = 22/7
[tex]radius (r) = diameter/2 = 14/2 = 7\\A = 22/7*(7)^2\\A = 22/7*(49)\\A = 154[/tex]
Use this information to answer the questions.
You are helping plan your sister's wedding. You decide to help set up a night to prepare the decorations and gift bags, but worry it all won't get done and you will be stuck doing the rest by yourself. Use the information below to help you know how long it will take to get everything done.
Question 1: You plan to have 2 people work on each task. How would you pair them up to complete each task in the shortest amount of time? Explain using rational expressions.
Question 2: What is the shortest amount of time it would take to complete all the tasks? If you know people have to leave your house by 9pm, what time should they come over to get started? Explain using rational expressions.
Answers
The best pairing to complete the task in the shortest amount of time is You and Aunt 1 and it would take them 30 minutes.
What is the Shortest Amount of Time?This represents the fastest time it takes for a person to execute a task.
The time needed for all tasks for You is:
2.5 + 5 + 1.5 = 9 hours
The time needed for all tasks for Aunt 1 is:
1.5 + 4 + 3= 8.5 hours.
9 - 8.5 = 0.5 hours
= 30 minutes
The shortest amount of time to complete all tasks is 8.5 hours by Aunt 1
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