The correct answer is option C which is the height of the plant increases by 2 mm for every hour of sunlight it receives.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given equation is as follows:-
y = 4 + 2xHere x is the variable which depends on the amount of sunlight and 4 is the original height of the plant so as the sunlight varies the value of x changes and it increases the height of the plant by 2 mm.
The graph of the equation is also attached with the answer. Therefore the correct answer is option C which is the height of the plant increases by 2 mm for every hour of sunlight it receives.
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The Great Pyramid of Giza in Egypt is a square pyramid. The height is approximately 450 feet, and the side length of the base is approximately 750 feet. What is the lateral surface area of the pyramid rounded to the nearest thousandth?
The lateral surface area of the Pyramid will be 850547 square feet.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.
The lateral surface area will be calculated as:-
A = [tex]= l\sqrt{(\dfrac{w}{2})^2+h^2} + w\sqrt{(\dfrac{l}{2})^2+h^2}[/tex]
A = [tex]= 750\sqrt{(\dfrac{750}{2})^2+450^2} + 750\sqrt{(\dfrac{750}{2})^2+450^2}[/tex]
A = 750 √321525 + 750 √321525
A = 150 √√321525
A = 1500 x 567.031
A = 850547 square feet
Therefore the lateral surface area of the Pyramid will be 850547 square feet.
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The x-coordinate of the point (50, 55) is ___________.
The x-coordinate of the point (50, 55) is 50
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The distance of point (50, 55) perpendicular to y-axis
Thus, perpendicular distance = 50 units
The x-coordinate of the point (50, 55) is 50
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This is a Math question.
Please explain how you can graph points on a coordinate plane to create
geometric figures such as squares, triangles, rectangles, and
parallelograms.
A figure can be graphed on a coordinate plane as a set of points located on specific places, specified by their coordinates.
How to draw graph on cartesian coordinate plane?The cartesian coordinate plane is an infinite 2 dimensional plane and each point of a cartesian plane is tracked by a location.
Now, the perpendicular distance of point from the horizontal axis and vertical axis are respectively usually named x-axis and y-axis. The location is then written as (a,b) where;
a is that point's shortest distance from the y-axis and called x-coordinate of that point.
b is that point's shortest distance from the x-axis, and called y-coordinate of that point.
Thus, those given geometric figures can be graphed on a coordinate plane as a set of points located on specific places, specified by their coordinates.
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The Law of Sines is used to solve missing side lengths in oblique triangles classified as SSS and SSA
True
False
Answer:
only AAS,ASA and SSA Are classified
It's false
Step-by-step explanation:
please mark me as brainlest
False
SSS is not classifiedThe key reason is the formula 's limitations
It need angle for ØAs SSS means only three sides and no angles are given Law of sines can't be used
Can You Please Help Me, I Would Really Appreciate It!!
Let's take this problem step by step:
To find the ordered pair of the system:
⇒ must set both equations equal to each other
⇒ solve for 'x'
Let's solve:
[tex]x^2-2x+3=-2x+12\\x^2-2x+2x+3-12\\x^2-9=0\\(x+3)(x-3)=0[/tex]
Let's find the x-values:
[tex](x+3)=0\\x=-3\\\\(x-3)=0\\x+3[/tex]
Let's find f(x)'s value for each 'x':
[tex]x=-3\\f(-3)=-2(-3)+12=6+12=18\\\\x=3\\f(3)=-2(3)+12=-6+12=6[/tex]
Answer: (3, 6), (-3,18)
Hope that helps!
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area = ft
help me please ty:)
find the length using the Pythagorean theorem.
Length = sqrt(20^2 - 12^2)
Length = 16 feet
area = 12 x 16 = 192 square feet
Marcela was assigned some math problems for
homework. She answered half of them in study hall.
After school she completed seven more. If she still
has 11 problems to do, how many problems were
assigned?
Answer:
36 problems
Step-by-step explanation:
so let's say x = how many problems Marcela was assigned
she completed half of them so the amount of problems left is x/2
She then completed 7 more so now we can subtract 7. We then set this to 11 to solve for x
x/2 - 7 = 11
x/2 = 18
x = 36
I'm having trouble with inequalities, any help will be appreciated, thanks.
Answer:
-3/2 ≤ x < 5
Decimal form:
-1.5 ≤ x < 5
(hope this helps)
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
5x - y > -3
27
Drawing Tools
Select
Line
Dashed Line
Shaded Region
Click on a tool to begin drawing.
10
8
6
The solution to the inequality 5x - y > -3 is shown in the graph.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An inequality shows the non equal comparison of two or more variables and numbers.
The solution to the inequality 5x - y > -3 is shown in the graph.
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Someone please help with this!!
Answer:
A
Step-by-step explanation:
Comment (and answer)
Both start with the plus x axis as one of the arms. The other arm of 110o goes anti clockwise until it is 30 degrees into the second quadrant.
The answer can be found by using 110 - 360 = negative angle.
So 110 - 360 = - 250 which goes clockwise from the plus x axis. The answer must be A.
Make sure you understand the concept of clockwise and anti clockwise. If you don't know, ask your teacher, write it down, and try not to forget it. The distinction comes up a lot.
Which expression has a value of 16 when n = 5?
StartFraction 25 Over n EndFraction + 7
30 minus 3 n
7 + StartFraction 45 Over n EndFraction
n cubed minus 114
Answer:
7+45/n or 5
Step-by-step explanation:
45 divided by n or technically 5 is 9 plus 7 is 16 :)
Answer:7+45/n or 5
Step-by-step explanation:
Need help urgently please
What is the equation of the quadratic function shown in the graph?
Answer: f(x) = -2 (x+3) (x-1)
Step-by-step explanation: See Attachment
Which statements describe a triangular prism? Select three options. It has one base. It has two bases. It has three lateral faces. It has four lateral faces. Its lateral faces are rectangular.
The statements that describe a triangular prism are:
It has one base. It has three lateral faces. Its lateral faces are rectangular.What is a triangular prism?A triangular prism is a three-dimensional object that is made up of one base that has the shape of a triangle and three lateral sides that have the shape of a rectangle. A triangular prism has 5 faces, 9 edges and 6 vertices.
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Make m the subject of the equation
(a) 5(m + y) = 4(m - 3y)
Answer:
m=(-5y-3y)
Step-by-step explanation:
5m+5y=4m-3y
5m-4m=-5y-3y
m(5-4)=-5y-3y
m=(-5y-3y)/1
Use the given graph to determine the limit, if it exists.
The limit [tex]\lim_{X \to \ 3^{-} } f(x)[/tex] is equal to -1 to infinity for the function whose graph is being shown in the question.
Given Graph of a function.
If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-3 to infinity the range is from -1 to -infinity and from 3 onwards it is a straight line at y=-4. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.
Hence the limit is equal to (-infinity,-1]
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please place the dot for me(20 points will give brainliest!!!)
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:\dfrac{2}{3} + \cfrac{ \sqrt{5} }{2} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{4 + \sqrt{45} }{6} [/tex]
[tex]\qquad \tt \rightarrow \: \dfrac{4}{6} + \cfrac{ \sqrt{45} }{6} [/tex]
[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ \sqrt{3 \times 3 \times 5} }{6} [/tex]
[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ 3\sqrt{5} }{6} [/tex]
[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ \sqrt{5} }{2} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
find the inequality for 20 points pls
First find the Slope-intercept form of the graph:
b=1
Given the points: (0,1)&(3,0)
slope= [tex]\frac{y1-y2}{x1-x2} =\frac{1-0}{0-3} =\frac{-1}{3}[/tex]
The line is not a dashed line, so that means the values on the slope (blue) are also counted
All the y values below the slope are counted, the inequality is:
y[tex]\leq \frac{-1}{3}x +1[/tex]
Hope it helps!
simplify 2e + 3f + 7e + 5f
Two gymnasts are running toward each other in a floor routine, and they plan to precisely time a flip to stay synchronized for the audience. The path of the gymnasts is parabolic and modeled by the following equations, where y is the height of the flip and x is the time in seconds:
Answer:
4 secs
Step-by-step explanation:
Since they have to be synchronized, their parabolic equations must be equal to one another
3(t^2 + 9 - 6t) - (t^2 + 25 - 10t) - t + 2 = 0
2t^2 - 9t + 4
(2t - 1)(t - 4) = 0
t = 1/2, 4
From the options, the answer is 4
The gymnasts will be at the same height during their flips at two different times: 1/2 seconds and 4 seconds.
so, correct option is: C.
Here, we have,
To determine when the gymnasts will be at the same height during their flips, we need to find the time (x) at which the equations for y are equal.
The given equations are:
y = –(x – 5)² + 3
y = –3(x – 3)² + x + 1
Setting the two equations equal, we have:
–(x – 5)² + 3 = –3(x – 3)² + x + 1
Expanding the squared terms:
–(x² – 10x + 25) + 3 = –3(x² – 6x + 9) + x + 1
Simplifying the equation:
–x² + 10x – 25 + 3 = –3x² + 18x – 27 + x + 1
Combining like terms:
–x² + 10x – 22 = –3x² + 19x – 26
Rearranging the equation:
2x² - 9x + 4 = 0
To solve this quadratic equation, we can factor it:
(2x - 1)(x - 4) = 0
Setting each factor equal to zero:
2x - 1 = 0 or x - 4 = 0
Solving for x:
2x = 1 or x = 4
Dividing by 2:
x = 1/2 or x = 4
Therefore, the gymnasts will be at the same height during their flips at two different times: 1/2 seconds and 4 seconds.
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Please help me with this question!
The diameter of the sphere is 14 cm.
What is a sphere ?Sphere is a three dimensional object , it has no edges or vertices and is round in shape.
The surface area of the sphere is given by 4πr²
As radius = diameter /2
Surface area = 4π r²
196 π = 4π *(d/2)²
196/4 = d²/4
49 *4 = d²
d = 14 cm
Therefore the diameter of the sphere is 14 cm.
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Drag each tile to the correct box. The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below. A graph represents the water level to fill the tank on Y-axis per time on X-axis. Segments A, B, and C fill the tank from 10 to 60, 60 to 80, and 80 to 110 centimeters in the first 2, next 4, and last 3 minutes. Place the segments in the correct order from the least to the greatest rate of increase in the water level. B A C , ,
The least to greatest slope, the segments are B, C and A.
Given that,
Segments A, B, and C on the graph below represent the water level of the tank every minute since it started filling.
A graph shows the water level needed to fill the tank on the y axis per unit of time on the x axis.
The segment's slope indicates how quickly the water level is rising. The slope, which is determined by the segment's angle with the positive x axis, is the ratio of rise to run.
slope of segment A = 60₋10/2 = 25
slope of segment B = 80₋60/4 = 5
slope of segment C = 110₋80/3 = 10
We can see that section B has the least slope, followed by segment C, and then segment A, which has the greatest slope.
B, C, and A are the segments in descending order of least to greatest slope.
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Camille bought 120 doughnuts for $60. Her profit was $48 once she sold 80 doughnuts. Write an
equation that represents Camille's profit P, as a function of the number of doughnuts sold, n.
PLEASE HELP WITH SHOWED WORK!!!
The equation that represents Camille's profit p as a function of the number of doughnuts sold, n is P = 1.35n - 60
How to represent an equation ?She bought 120 doughnuts for $60.
Therefore,
cost = $60
Her profit was $48 once she sold 80 doughnuts.
p = profit
n = number of doughnuts sold.
Therefore,
let
x = amount she is selling each doughnuts
p = nx - 60
Using the information given we have:
48 = (80x) - 60
Therefore,
x = $1.35
Hence, for any number of doughnuts then, we have the profit equation as follows:
P = 1.35n - 60
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A thin silver disc of diameter 10 cm costs # 3 300. What is the cost per m²
Answer:
The diameter is 10 cm. the radius is 5 cm. the area is πr² = π x 5² = 78.5 cm².
1 m² = 10,000 cm².
78.5/10,000 = 3,300/n n is the cost per square meter.
78.5n = 10,000 x 3300
n = 420,382.1656
The cost per square meter is $420,382.17.
Which expressions are equivalent to the one below? Check all that apply.
In (e^2)
Possible Answers Below:
A.)2•In e
B.) 2
C.) 2e
D.) 1
Answer:
a and b
Step-by-step explanation: you can move the exponent to the front and lne is also equal to one times 2 = 2
A laptop costs £600
Students get a 5% discount.
How much discount will a student get?
Answer:
cost price = £ 600
discount = 5%
selling price =
5/100 * 600.
5 * 6
30 £
price = 600 - 30
= 570
edg vector operations, any help appreciated!
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: Add \:\: -6 \hat i - 6\hat j \:\:with \:\; Vector \:\; c[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Vector d can be represented as :
[tex]\qquad \tt \rightarrow \: - 2 \hat i - 2 \hat j[/tex]
Vector c can be represented as :
[tex]\qquad \tt \rightarrow \: 4 \hat i + 4\hat j[/tex]
we have to create vector d from vector c
So, let's assume a vector x, such that sum of vector x and vector c equals to vector d
[tex]\qquad \tt \rightarrow \: x + ( 4 \hat i + 4 \hat j) = - 2 \hat i - 2 \hat j[/tex]
[tex]\qquad \tt \rightarrow \: x = - ( 4 \hat i + 4 \hat j) - 2 \hat i - 2 \hat j[/tex]
[tex]\qquad \tt \rightarrow \: x = (- 4 \hat i - 2 \hat i) + ( - 4 \hat j - 2 \hat j)[/tex]
[tex]\qquad \tt \rightarrow \: x = - 6 \hat i -6 \hat j[/tex]
Henceforth, in order to get vector d, we need to add (-6i - 6j) in vector c
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Fill in the table with the appropriate value to describe the amount of hot dogs eaten at a hot dog eating contest.
Which value should be placed in the empty space in the table?
A. 1/6
B. 1/4
C. 1/12
D. 1/8
20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let us assume that there were 10 people at the hot dog eating contest. If each person eats 2 hot dog, hence:
Number of hot dogs eaten = 2 hot dog per person * 10 people = 20 hot dogs.
20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.
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What is the solution of the inequality sh
below?
9+b≤2
Answer:
b≤-7Step-by-step explanation:
b+9≤2
Subtract 9 from both sides:
b+9-9≤2-9b≤-79+b≤2
subtract 9 on each side which will be -7
the answer will be b≤-7
Convert the angle from radians to degrees: [tex]\frac{5}{6}\pi[/tex] with working