Answer:
x = ±2.24
Step-by-step explanation:
16x² - 80 = 0
16x² = 80 (Add 80)
x² = 5 (Divide by 16)
x = ±√5 (Square root both sides)
≈ 2.24, -2.24
Answer:
x = −2.24 and x = 2.24
Step-by-step explanation:
To solve, you can use the quadratic formula.
The guy above is correct.
Hope this helps!
find the size of angle yzx give your answer to 3 significant figures 7.5cm and 22.3cm
Answer:19.7
Step-by-step explanation:
Sin‐(7.5/22.3) on your calculator
The answer to 3 significant figures is 19.7
Size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).
What is an angle?" Angle is defined as when two rays meet at one point known as vertex."
Formula used
[tex]sin\theta = \frac{ opposite side }{Hypotenuse}[/tex]
According to the question,
As shown in the figure,
In triangle YXZ,
Angle X = 90 degrees
Opposite side to ∠YZX , XY = 7.7cm
Hypotenuse , ZY = 22.3 cm
Substitute the value in the formula to get the value of size of angle YZX,
[tex]sin YZX = \frac{XY}{ZY}[/tex]
⇒[tex]sin YZX = \frac{7.5}{22.3}[/tex]
⇒[tex]sin YZX = 0.3363[/tex]
⇒ [tex]YZX = sin^{-1} (0.3363)[/tex]
⇒∠YZX = 19.651°
Hence, size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).
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Field book of an agricultural land is given in the figure. It is divided into 4 plots . Plot I is a right triangle , plot II is an equilateral triangle, plot III is a rectangle and plot IV is a trapezium, Find the area of each plot and the total area of the field. ( use √3 =1.73)
Answer:
Plot I area= 32.5cm²
Plot II area = 73.09cm²
Plot III area = 35cm²
Plot IV area = 54cm²
Total the area of Field = 194.59cm²
Step-by-step explanation:
The field is made up of four plots with different shapes. So we would find the area of the 4 shapes to get the area of the plots.
A question related to this can be found at brainly (question ID: 18861101)
Find attached the diagram
Given:
AC = 13cm
AE = 19cm
CF = DE = 7cm
AD = AE - DE
AD = 19-7 = 12cm
GF = 9cm, EH = 15cm
GH = 17cm
Plot I: A right angle triangle
Area = ½ × base × height
Base = CD, height = AD
Using Pythagoras theorem
CD = √(AC² - AD)²
CD = √(13² - 12²) = √(169-144)
CD = √25 = 5
Area = ½ × 5 ×13= 32.5
Area plot I = 32.5cm²
Plot II: An equilateral triangle
Area of the equilateral triangle = a²/4 ×(√3)
√3=1.73
a = side = AC
Area = (13)²/4 ×(√3) = 42.25 × 1.73 = 73.0925
Area of Plot II = 73.09cm²
Plot III: A rectangle
Area of a rectangle = length × width
length = 7cm
width = 5cm
Area of plot III = 7×5 = 35cm²
Plot IV: A trapezium
Area of trapezium = ½(base 1 + base2) × height
Base 1= FE = CD
Base 2= GH
To get height using diagram 2. When you draw the lines from the two points on base1, you would have 1 rectangle in the middle with the two triangles by the side.
We would apply Pythagoras theorem to find h in the two right angled triangles:
Hypotenuse ² = opposite ²+adjacent ²
1st ∆: 9² = h²+a²
h² = 81-a²
2nd ∆: 15² = h² + (12-a)²
225 = h² +144 - 24a+ a²
225-144 = h²-24a+ a²
Insert value for h² in the 2nd
81 = 81-a² - 24a + a²
24a = 81-81
a= 0
h² = 81-0²
h = √81 = 9
Area of trapezium = ½(5+7) × 9
= 6 × 9
Area of plot IV= 54cm²
Total the area of field = area of plot I + area of plot II + area of plot III +area of plot IV
= 32.5 + 73.09 + 35+ 54
Total the area of Field = 194.59cm²
Suppose that F(x)=x^3 and G(x)=-2x^3. Which statement best compares the graph of G(x) with the graph of F(x)?
Answer:
Answer: Choice C)
Stretched vertically, flipped over x axis, shifted 7 units down
Step-by-step explanation:
The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.
What is the general equation of a Cubic function?A cubic function is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants and a ≠ 0. It has a degree of 3 and has 3 possible roots.
We have the following functions -
f(x) = x³
g(x) = -2x³
The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2. Refer to the graph attached.
Therefore, the graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.
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Mitch is buying candy bars for his friends he wants to give 2 bars to each friend and he wants to have 10 spare bars he can afford to buy 24 candy bars
Answer:
e can treat 7 friends
Step-by-step explanation:
2f+10=24
2f=24-10=14
f=14/2=7
Please help again! Same thing!
Answer:
a = - 3, b = 5
Step-by-step explanation:
To rationalise the denominator multiply the numerator/ denominator by [tex]\sqrt{2}[/tex]
= [tex]\frac{\sqrt{2}(10-\sqrt{18}) }{(\sqrt{2})^2 }[/tex]
= [tex]\frac{10\sqrt{2}-\sqrt{36} }{2}[/tex]
= [tex]\frac{10\sqrt{2}-6 }{2}[/tex]
= 5[tex]\sqrt{2}[/tex] - 3
= - 3 + 5[tex]\sqrt{2}[/tex] ← in the form a + b[tex]\sqrt{2}[/tex]
with a = - 3 and b = 5
Identify the domain of the function shown in the graph.
Answer:
b
Step-by-step explanation:
forgive me if im wrong, its been a long time since ive done these. it doesnt seem like theres any complex numbers so it shoild be all real #
Answer:
A. x >= 0
Step-by-step explanation:
The domain of a function is the set of values that are the x-coordinates of all the points f the function.
This function starts at x = 0 and goes on forever with greater values of x.
Answer: A. x >= 0
calculate the volume:
(image will be inserted)
Answer:
D. 44 dm³
Step-by-step explanation:
Volume of cuboid equals:
a × h
4 × 11
= 44
The volume of the shape is 44 dm³.
How much bigger is 3/8 than 1/3 answer as a fraction
Maurice bought 25 shares of stock at $9.85 per share and sold them for $11.22 per share. (Do not use commas, percentage signs or dollar signs in your answers. Round percentage answers to the nearest tenth) What was his purchase price?
Solution: 25 × $9.85= $246.25 purchase price
25 × $11.22 = $280.5 sale price
$280.5 – $246.25 = $34.25 profit in dollars
$34.25 ÷ $246.25 = 0.139 = 13.9% ROI
Purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
What is purchase price?
" Purchase price is defined as the total amount paid to buy any product."
Formula used
Profit = Selling price - Purchase price
Profit percentage = [tex]\frac{profit}{cost price} (100)[/tex]
According to the question,
Total number of shares = 25
Purchase price of one share = 9.85 dollars
Selling price of 1 share = 11.22 dollars
Therefore,
Purchase price of 25 shares = (9.85 × 25 )dollars
= 246.25 dollars
Selling price of 25 shares = (11.22 × 25) dollars
= 280.5 dollars
Selling price > Purchase price
Therefore,
Profit = Selling price - Purchase price
= 280.5 - 246.25
= 34.25 dollars
Substitute the value in the formula we get,
Profit percentage = [tex]\frac{34.25}{246.25} (100)[/tex]
= 13. 9 percentage ( nearest tenth)
Hence, purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
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Both Euclidean and non-Euclidean geometry have been accepted as valid types of geometry. True or False?
Answer: true
Step-by-step explanation:
A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the actual distance in km.
Answer:
8.75 km.
Step-by-step explanation:
You can set up a ratio of the map to the actual distance of [tex]\frac{1}{50000}[/tex].
Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:
[tex]\frac{1}{50000}[/tex]=[tex]\frac{17.5 cm}{x cm}[/tex] By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.
However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.
attachment help asap
Answer:
D, C, A, B
Step-by-step explanation:
Find common factor:
60 is the common denominator
2/5=24/60
2/3=40/60
1/4=15/60
1/10=6/60
Answer:
A. 2/5 = 0.4
B. 2/3 = 0.66
C. 1/4 = 0.25
D. 1/10 = 0.1
Arranging them in the box we have
D , C , A , B
Since D is the smallest followed by C followed by A followed by B which is the largest
Hope this helps
2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.
On the Venn diagram, which region(s) represent the union of Set A and Set B (A⋃B)?
II
I and III
I, II, and III
I, II, III, and IV
Answer:
(A⋃B) = I, II, and III (C)
Step-by-step explanation:
Venn diagram is used to demonstrate the relationship between two or three sets. It enables visual organisation of data in a set.
From the information:
Set A = {I}
Set B = {II}
Set A⋂B = {III}
Where ⋂ means intersection.
A⋂B = objects that belong to set A and set B
Objects not belonging to any set = 4
U = Universal set
(A⋃B) means objects that belong to set A or set B
The objects that belong to set A or set B = I, II, and III
(A⋃B) = I, II, and III (C)
Answer:
The answer is C
Step-by-step explanation:
I took the test
Find the equation of the line through point (3,−3) and parallel to y=3x−4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Y=
Answer:
y =3x - 12
Step-by-step explanation:
I'm fairly certain this is the answer.
Consider the point (3,-3). In terms of variables this is written (x,y).
Remember that the equation for slope is y = mx + b.
In that equation, "b" is your y-intercept, and "m" is your slope.
If 2 lines are parallel, they have the same slope but different y-intercepts. So you can use the slope from the equation y=3x-4 to find the parallel line. You can also plug in the values 3 and -3 to solve for b, our y-intercept.
If we set up the equation, we have -3 = 3(3) + b.
Now solve for b.
-3 = 9 + b
Combine like terms, so that -12 = b, and you have your y-intercept.
To create the equation, take out the coordinate pair that the line passes through, and only have the SLOPE and the Y-INTERCEPT showing in the equation.
Therefore, y = 3x - 12
Graph g(x)=−|x+3|−2 dude i absolutely hate graphing. Does anyone else do summer school algebra on keystone.? (Also i need help please)
Answer:
Graph using graphing calc or desmos.
Step-by-step explanation:
Answer:
your graph is below. i have algebra 2 on flvs.
Solve: g^2x + 1 = g^3x – 2
[tex]\displaystyle\bf\\g^{2x+1}=g^{3x-2}\\\\g=g\\\\3x-2=2x+1\\\\3x-2x=1+2\\\\\boxed{\bf x=3}[/tex]
Evaluate g(x) = 1.8x3 -0.0034x + 0.5 for x = 1 and x=2
Answer:
g(1) = 2.2966
g(2) = 14.8932
Step-by-step explanation:
g(1) = 1.8(1)³ - 0.0034(1) + 0.5
g(2) - 1.8(2)³ - 0.0034(2) + 0.5
Plug those into a calc and you should get your answers.
Answer: 2.2966; 14.8932
Step-by-step explanation:
75 + 13 + ?? = 140 i dont know what it is.
Answer:
52
Step-by-step explanation:
140 - 13 = 127
127 - 75 = 52
Check your work:
75 + 13 + 52
= 140
52
Step-by-step explanation:
75 + 13=88
140 - 88=52
75 + 13 + 52=140
hope it helps stay safe and have a good day =D
Which two representations are considered to be only partial representations
Answer:
Option D is correct.
The only partial representations of the given information are the table and the graph.
This is because, on their own, they do not provide the corresponding value of y for every given x.
Step-by-step explanation:
Complete Question
Four representations of the same data are shown below.
- Verbal Description
Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x.
- Equation
y = x + 4
- Table
- Graph
Cell Phone Bill
Which two representations are considered to be only partial representations?
A) the equation and the verbal description
B) the verbal description and the graph
C) the table and the equation
D) the graph and the table
Solution
A complete representation would give the total amount Stay pays in a month, given the number of minutes. There would be no domain of x (minutes charges on her phone) where there is a solution, that the complete representation wouldnt give the corresponding y (total amount of money she would pay.
Taking each of the representations one at a time.
- Verbal Description
The verbal description alone explains the subject matter to us in details. With the explanation from the verbal description, the value of y is always just there to obtain.
- Equation
y = x + 4
The equation too, alone, will give the value of y for every given value of x. So, it is also a complete representation of the subject matter all on Its own.
- Table
Although, the values of the table aren't all presented above, but it is evident that the table, no matter how long, can only give the corresponding values of y given x, to an extent. A table, on its own, would not give all the values of y, for every value of x, one can think of. Unless one of the other methods of representation has already been given, the table alone is a partial representation of the subject matter.
- Graph
Just like the table is absent Too, the graph too cannot be attached, to avoid question deletion due to violating community guidelines. But the graph Too, on its own just shows a straight line graph of y and x, over a limited range of values. It stops after that and on its own, the graph wouldn't be able to outrightly represent the subject matter as we don't know if the relationship is linear forever, or not, from just seeing a graph of y against x over a very limited range.
Hence, it is evident that the table and the graph represent partial representations of the subject matter because, on their own, they do not provide the corresponding value of y for every given x.
Hope this Helps!!!
3/4 of a worker's earning is #630. Find his total earning for the month
Answer:
840
Step-by-step explanation:
Let x be the total earning.
3/4 × x = 630
x = 630 × 4/3
x = 840
The worker’s total earning for the month is 840.
y = 4x – 6
can someone find me the slope for this thanks
Answer:
Slope = m = 4
Step-by-step explanation:
y = 4x-6
Comparing this with the standard slope-intercept equation:
[tex]y = mx+b[/tex]
Where m is the slope and b is the y-intercept.
So, we get:
Slope = m = 4
Answer:
4
Step-by-step explanation:
The equation of a line has a formula.
y = mx + b
Where m is the slope, and b is the y-intercept.
The equation for this line is given:
y = 4x + - 6
m = 4
b = -6
4 is the slope, and -6 is the y-intercept.
Find the simplest pattern and insert the missing term(s) of each sequence. 4, 7, 12, 21, 38, ___
I need help ASAP please <3.
Answer:
71
Step-by-step explanation:
4, 7, 12, 21, 38, ...
2+2=2¹+24+3= 2²+38+4= 2³+416+5= 2⁴+532+6= 2⁵+6next term:
2⁶+7= 64+7=71nth term:
2ⁿ+(n+1)
. A woman fences a 3m by 4m rectangular plot to keep her chickens in. The fencing costs N200 per metre. How much does it cost to fence the plot?
1 point
Answer:
Cost: "N2800"
Step-by-step explanation:
I'm assuming "N200" is "$200"? But I'll just use it as "N200"
Finding the perimeter:
3+3+4+4=
6+8=
14 metres
Finding the cost:
N200×14=
N2800
I NEED HELP PLEASE, THANKS! :)
Answer:
2nd option: (0.5, 7), maximum; (2, 1) point of inflection; (3.5, -5), minimum.
Step-by-step explanation:
The maximum point, or a point of the graph with the highest y-value, is at
(0.5, 7).
The minimum point, or a point of the graph with the lowest y-value, is at
(3.5, -5).
The point of inflection is where the graph begins to change direction. This is at (2, 1).
Therefore, the 2nd option is correct.
Which statement best explains the relationship between lines CD and FG?
They are perpendicular because their slopes are equal.
They are perpendicular because their slopes are negative reciprocals.
They are not perpendicular because their slopes are equal.
They are not perpendicular because their slopes are negative reciprocals.
Answer:
(B) They are perpendicular because their slopes are negative reciprocals
Step-by-step explanation:
B. They are perpendicular because their slopes are negative reciprocals.
The diameter of a semicircle is 98 meters. What is the semicircle's radius?
Answer:
It is 49
Step-by-step explanation:
Divide 98 by 2 to get semicircle radius.
Answer:
49 meters
Step-by-step explanation:
The radius is half of the diameter
98 divided by 2 is 49 which is the radius of the semicircle
Hi, can someone please answer this question? Thanks!!!
Answer:
m∠QPR = 20°
Step-by-step explanation:
Step 1: Find x
4x + 27 + 9x - 115 = 107
13x - 88 = 107
13x = 195
x = 15
Step 2: Find m∠QPR
9(15) - 115
135 - 115
m∠QPR = 20°
Por Favor! Alguém me ajuda.
Calcule o quadro da diferença de dois termos: (3a-b)²: A)9a²-6ab+b² B)9a²+6ab-b² C)-9a²+6ab+b² D)-9a²-6ab-b² E)9a²+6ab+b²
Answer:
The answer is A.
Step-by-step explanation:
You have to apply :
[tex] {(a - b)}^{2} ⇒ {a}^{2} - 2ab + {b}^{2} [/tex]
So for this question :
[tex] {(3a - b)}^{2} [/tex]
[tex] = {(3a)}^{2} - 2(3a)(b) + {(b)}^{2} [/tex]
[tex] = 9 {a}^{2} - 6ab + {b}^{2} [/tex]
Here is a list of numbers: 8, 6, 19, 14, -19, -3, -14, 20, -9 State the median.
Answer:
6
Step-by-step explanation:
rearrange the numbers from smallest to biggest:
-19, -14, -9, -3, 6, 8, 14, 19, 20
the set of data the question requires is the middle data. there are 9 sets of data. the middle data = (9 + 1) ÷ 2 = 5
find the fifth piece of data from the rearranged order.
ans: 6
Answer:
6
Step-by-step explanation:
gotchu G
Which of the following is a like radical to 6x2?
o x(V6x
(VR)
o 6
3
O
4
6x2
o x(VB)
Answer:
3
Step-by-step explanation: