Percentage discount
[tex]\\ \rm\rightarrowtail \dfrac{2}{86.25}{100}[/tex]
[tex]\\ \rm\rightarrowtail 0.0232(100)[/tex]
[tex]\\ \rm\rightarrowtail 2.32\%[/tex]
Answer:
2.3% (nearest tenth)
Step-by-step explanation:
[tex]\sf percentage \ change =\dfrac{|final \ value - initial \ value|}{initial \ value} \times 100\%[/tex]
Given:
initial value = 86.25final value = 84.25[tex]\sf \implies percentage \ change =\dfrac{|84.25-86.25|}{86.25} \times 100\%[/tex]
[tex]\sf \implies percentage \ change =\dfrac{2}{86.25} \times 100\%[/tex]
[tex]\sf \implies percentage \ change =2.3\% \ (nearest \ tenth)[/tex]
true or false and explain or show your reasoning
10-⁵=-10⁵
(10²)-³=(10²)³
10³/10¹⁴=10-¹¹
Answer:
a. False : because 10^-5= 1/10^5 where as -10^5=-1 × 10^5
therefore 1/10^5 not equal to -1×10^5
b. False : because (10^2)^-3 = 100^-3=1/100^3 where as (10^2)^3 = 100^3=1000000 there fore 1/100^3 not equal to 1000000
c. True : because 10^3/10^14=10^(3-14)=10^-11 therefore both left side and right side of the equation are equal
Given the function f(x) = –0. 5|2x 2| 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution.
There is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6 option fourth is correct.
It is given that the function [tex]\rm f(x) = -0.5|2x+2|+1[/tex]
It is required to find the values of x when f(x) = 6
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm f(x) = -0.5|2x+2|+1[/tex]
And f(x) = 6
Putting the value of f(x) in the above equation, we get:
[tex]\rm 6 = -0.5|2x+2|+1[/tex] or
[tex]\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10[/tex]
Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'
Thus, there is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6.
Learn more about the function here:
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A ball is hit from the ground. When that ball has traveled a horizontal distance of d meters, its height, h, in meters, can be modeled by the function (d) =-1/1125d2+d.
what is the horizontal distance from the point where the ball is hit to the point whitch ball lands on the ground.
Answer:
I'll assume the equation is h(d) = -(1/1125)d^2 + d
Please check, the (1/1125) term is disturbing.
Step-by-step explanation:
When the ball hits the ground, the height, h(d) is 0. We want the value of d, the distance the ball has travelled horizontally, that would give the function a value of 0.
h(d) = -(1/1125)d^2 + d
0 = -(1/1125)d^2 + d
(1/1125)d^2 - d = 0
Solve using the quadratic equation: I get 0 and - 1125 seconds. I conclude that the factor (1/1125) is incorrect, or some other error in the equation.
The horizontal distance from the point where the ball is hit to the point at which the ball lands on the ground is 1125.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
When the ball hits the ground, the height, h(d) is 0. We need to find the value of d, the distance the ball has traveled horizontally, which would give the function a value of 0.
Solve using the quadratic equation
h(d) = -(1/1125)d^2 + d
0 = -(1/1125)d^2 + d
(1/1125)d^2 - d = 0
(1/1125)d^2 = d
d = 1125
Thus, the horizontal distance from the point where the ball is hit to the point at which the ball lands on the ground is 1125.
Learn more about quadratic equations;
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50 POINTS FOR CORRECT AWNSER!
Answer:
[tex]\mathsf{y < \dfrac47x-4}[/tex]
Step-by-step explanation:
First, find the equation of the line.
Slope-intercept form of a linear equation: [tex]\mathsf{y=mx+b}[/tex]
(where m is the slope and b is the y-intercept)
From inspection of the graph, the y-intercept is at (0, -4)
Therefore, b = -4
Choose another point on the line, e.g. (7, 0)
Now use the slope formula to find the slope:
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where:
[tex]\mathsf{(x_1,y_1)=(0,-4)}[/tex][tex]\mathsf{(x_2,y_2)=(7,0)}[/tex][tex]\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}[/tex]
Therefore, the equation of the line is:
[tex]\mathsf{y=\dfrac47x-4}[/tex]
For an inequality, the dashed line means < or > (whereas a solid line means ≤ or ≥)
As the shading is below the line, we need to use <
Therefore, the final inequality is:
[tex]\mathsf{y < \dfrac47x-4}[/tex]
solve systems by substitutions
y=x + 10
y= -6x-18
x + 10 = - 6x - 18
7x = - 28
x = - 4
and y = - 4 + 10 = - 6
Use the distributive property to write an expression equivalent to each of the following x(-2+3)
Hey there!
x(-2x + 3)
= 1x(-2x + 3)
DISTRIBUTE 1x WITHIN the PARENTHESES
= 1x(-2x) + 1x(3)
= -2x(1x) + 3(1x)
= -2x^2 + 3x
Therefore, your answer is: -2x^2 + 3x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the 7th term of the geometric sequence whose common ratio is 2/3 and whose first term is 6.
Assessment started: undefined. Item 1 What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box
The mean of the data set, 6, 11, 5, 2, 7, is: 6.2.
What is the Mean of a Data Set?The mean of a data set is the average of the data points or the sum of all the data points divided by the total number of data points in the data set.
Given the data set, 6, 11, 5, 2, 7:
Mean = (6 + 11 + 5 + 2 + 7)/5
Mean = 31/5
Mean = 6.2
Therefore, the mean of the data set, 6, 11, 5, 2, 7, is: 6.2.
Learn more about the mean on:
https://brainly.com/question/19243813
Answer:
6.2
Step-by-step explanation:
(1) In the adjacent figure, congruent sides of ABCD are shown by identical marks. State if there are any pairs of congruent angles in the figure. A
Remove Congruent pairs too
Answer:
Step-by-step explanation:
original price of television is $729 , 18%of the original price , 6% tax applied after discount
Answer:
139.0932
Step-by-step explanation:
729×18%×(1+6%)
729x0.18x(1+0.06)
729x0.18x1.06
139.0932
(I WILL GIVE BRAINILEST AND 35 POINTS!)Calculate the Volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube
Answer: the answer is “B”
Step-by-step explanation: answer is LETTER B
What is the area of the following circle?
Answer:
34.54
Step-by-step explanation:
you do 2 * 3.14 * 5.
to find the area 2pie r the 3.14 comes from the directions, the 2 comes from the circle because the full length of the circle is 10 but you divide by 2 to get 5 and the 5 also comes from the circle and that is the radius.
Is the following number rational or irrational?
200
Choose 1 answer:
A
Rational
В B
Irrational
Answer:
A Rational
Step-by-step explanation:
Because 200 can be represented as 200/1, it shows that it can be made into a fraction unlike irrational numbers.
i don't understand this at alllll :(
Answer:
300
Step-by-step explanation:
volume of rectangle formula:
HEIGHT*WIDTH*LENGHT*
12*10(1/2)*20(1/4= 300
Answer:
2551.5in³
Step-by-step explanation:
this is easy if you know the formula.
volume = l*w*h
= 20.25*10.5*12= 2551.5in³
For Halloween, Kate wears a monocle
that has a radius of 3 centimeters.
What is the monocle's circumference?
Use 3.14 for n.
centimeters
Answer:
18.84 square centimeters
Step-by-step explanation:
[tex]C =[/tex] [tex]\pi[/tex][tex]d[/tex]
[tex]C = (3.14)(6)[/tex]
[tex]C = 18.84[/tex] [tex]cm^{2}[/tex]
P.S: Diameter is radius + radius so that means that diameter is 3 + 3 for this problem.
WILL GET BRAINLIEST!!!!!!
Answer:
d=8
e=11.31
Step-by-step explanation:
side8 and side(d) are the same length
8squared+8squared=128
[tex]\sqrt{128}[/tex]=11.31
hope this helps!
Answer:
d = 8 and e = 8√2 ( e = 11.31 do the nearest hundredth)
Step-by-step explanation:
This is a 45-45-90 triangle so the sides are in the ratio 1:1:√2
So d = 8
and
e = 8√2.
(ii) Express 1800 cm: 20 m in its simplest form.
HELPP
1800 cm: 20 m in its simplest form is 9cm : 10 cm
What is ratio?Ratio says how much of one thing there is compared to another thing. Ratio compares value.
Therefore, let's make the unit the same.
0.01 m = 1 cm
20m =
length = 20 / 0.01
length = 2000 cm
Therefore, the ratio is as follows:
1800 cm : 2000 cm
Let's write it in it simplest form.
1800 / 2000 = 9 / 10
Therefore, the simplest form is 9 cm : 10 cm
learn more on ratio here: https://brainly.com/question/859009
If v is the circumcenter of pqr ,pr =46 ,tv=15,and vr=25 find each measure
Answer:
1. a) SR = 23
b) QV = 25
c) QT = 20
d) PQ = 40
e) VS = 4·√6
2. a) LH = 16
b) EL = 2·√185
c) JG = 30
d) EK = 22
e) KG = 30
3. a) XT = 37
b) TZ = 34
c) ZW = 17
d) XZ = 21
e) SY = 69
Step-by-step explanation:
The circumcenter ΔPQR is the center of the circle that circumscribes ΔPQR
The length of the radius of the circle ≡ VR = VP = QV = 25
a) Given that VR ≅ VP - Radius of circumcircle
VS ≅ VS Reflective property
∠VPS ≅ ∠VRS - Base angles of an isosceles triangle
Right triangle VPS ≅ Right triangle VRS -Hypotenuse and one Leg HL congruency
Therefore, SR ≅ PS -Corresponding parts of congruent triangles are congruent CPCTC
SR + PS = PR = 46
SR + PS = SR + SR = 2·SR = 46
∴ SR = 46/2 = 23
b) QV = VR = 25 = Radius of circumcircle of ΔPQR -Given V = center and Q = vertices of the triangle circumscribed by the circle referred to in the question
c) QT = √(QV² - TV²) = √(25² - 15²) = √400 = 20
d) TV ≅ TV - Reflexive property of congruency
ΔTQV ≅ ΔTVP - Hypotenuse and one Leg (HL) congruency
QT ≅ TP -Corresponding parts of congruent triangles are congruent CPCTC
PQ = QT + TP Given
∴ PQ = QT + QT since QT = TP
PQ = 2·QT = 2 × 20 = 40
e) VS = √(VR² - SR²) = √(25² - 23²) = √96 = 4·√6
2. The incenter is the center of the incircle of ΔEFG
a) LH = LK = JL = 16 -Radius of incircle of ΔEFG
b) EL = Hypotenuse of right triangle LHE = √(LH² + EH²) = √(16² + 22²) = √740 = 2·√185
c) JG = Leg length of right triangle JGL = √(LG² - JL²) = √(34² - 16²) = √900 = 30
d) EK = Leg length of right triangle LKE = √(EL² - LK²) = √(740 - 256) = 22
e) KG = Leg length of right triangle LKG = √(LG² - LK²) = √(34²- 16²) = √900 = 30
3. Point Z id the centroid of ΔRST
a) XT = XS - point X on ST bisected by median line RX
ST = XT + XS = XT + XT = 2.XT = 74
XT = 74/2 = 37
b) TZ = 2/3×TW - Length from a vertex to the centroid on a median line is equal to two third the length of the median line
TZ = 2/3×51 = 34
c) TZ + ZW = TW
∴ ZW = TW - TZ = 51 - 34 = 17
d) RZ = 42 = 2/3×RX - Length from a vertex to the centroid on a median line is equal to two third the length of the median line
∴ RX = 3/2×42 = 63
RZ + XZ = RX - Given
XZ = RX - RZ = 63 - 42 = 21
e) SZ = 2/3×SY - Length from a vertex to the centroid on a median line is equal to two third the length of the median line
SZ + ZY = SY
∴ ZY = SY - SZ = SY - 2/3×SY = 1/3×SY = 23
Which gives;
SY = 3 × 23 = 69.
What is the mode for the following set of data?
5, 7, 8, 10, 12, 12
10
9
7
12
Answer:
I think it would be 10
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Answer: The mode is 12 because it is repetitive among the numbers in the set of numbers.
the diagram represents the unit rate of making copies on a copy machine. Which table represents the rate of making copies on this copy machine?
The unit rate is the amount of book copy made in a second
The table that represents the unit rate is table (b)
How to determine the table?The interpretation of the diagram for making copies is:
Rate = 4 copies per second
This means that:
The table that represents this diagram must have a slope or rate of 4
From the list of options, the table (b) has a slope of 4.
This is calculated as:
Slope = Copies/Time
So, we have:
Slope = 40/10 = 4
Hence, the table that represents the unit rate is table (b)
Read more about unit rates at:
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The area of this figure.
square meters
10 m
2 m
12 m
7 m
4 m
4 m
Answer:
I believe it is 106 Square meters
Step-by-step explanation:
Easiest way to find area for these kind of shapes is to break them into smaller rectangles, this specific one can be broken 3 ways...
Right: 4m long, 7m tall
Top: 10 long, 5 tall *(12-7)*
Left: 4m long, 7m tall
*To find incomplete ones, you find clues in other sides, for instance the whole side was 12, the broken part was 7, therefor you just subtract 7 from 12, giving you 5 for the top.*
Then you just multiply...
4x7=28
4x7=28
10x5= 50
Now, you have the area for three individual smaller rectangles. So you simply add them together to get the whole shapes area...
28+28+50=106
Therefor, your answer should be 106 square meters- if I'm not mistaken.
Hope this helps, brainliest is appreciated if its right, trying to rank up :)
Have a great day! cx
~Mitsuna
Answer:
106
Step-by-step explanation:
Here's one way of finding the area:
Find the area of the entire outer rectangle. Then subtract the area of the samlle rectangle in the bottom middle.
A = LW - lw
A = (10 m)(12 m) - (2 m)(7 m)
A = 120 m² - 14 m²
A = 106 m²
-2x^2+bx -5 Determine the b-value that would ensure the function has two real root.
Answer:
No solutionStep-by-step explanation:
Given is the quadratic function
y = -2x² + bx - 5In order to have two real roots the discriminant should be posivive
D = - b² - 4acD = - b² - 4(-2)(-5) = - b² - 40We need D > 0
-b² - 40 > 0b² + 40 < 0b² < - 40There is no solution as b² is never negative
What is c in this ixl
Answer:
11
Step-by-step explanation:
the area of a triangle is bc/2
b = 8.8
c = ?
area = 48.4
48.4 = 8.8c/2
96.8 = 8.8c
c = 11
Please mark as brainliest!
11
Step-by-step explanation:
[tex] \frac{1}{2} \times 8.8 \times c = 48.4[/tex][tex] \frac{8.8 \times c}{2} = 48.4 \\ 8.8 \times c = 48.4 \times 2 \\ 8.8 \times c = 96.8 \\ c = \frac{96.8}{88} \\ c = 11[/tex]mark me brainiest please
Math tangent of a circle Also sorry my sister got a hold of it
ASAP!!!
Imagine we drew a line from the centre (2,0) to the point (0,4).
Essentially the line we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise.
The slope of that line from the centre to the point is -2 based on the slope's equation or formula.
slope = [tex]\frac{y2-y1}{x2-x1}=\frac{4-0}{0-2} =-2[/tex]
Therefore the tangent equation's slope is 1/2 since any perpendicular line's slope is the negative reciprocal of the original line's slope.
By using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2.
[tex]y - 4 = \frac{1}{2}(x-0)\\ y= \frac{1}{2}x + 4[/tex]
Hope that helps!
help please must be a really quick answer but right!
Answer:
240 ft^2
Step-by-step explanation:
10*18=180
20*6=120
120/2 = 60
180+60=240
6. A line passes through the points (-2,5) and (6,9). Calculate the gradient of this line.
Answer:
d 2.5 line is 6.9 which is 9.4
Step-by-step explanation:
because
True or false if you took a true of them statement inserted a not in each clause and reversed the clauses the new statement would also be true
Answer:
true
Step-by-step explanation:
The length, breadth and height of room are in the ratio of 5:3:1 and the room contains 960m³ of air . What is the cost of plastering its walls, floor and ceiling at Rs. 30 per m²?
Answer:
Rs. 22,080.
Step-by-step explanation:
Let the height be x m then the breadth is 3x and the length 5x m.
x * 3x * 5x = 960
15x^3 = 960
x^3 = 64
x = ∛ 64 = 4m.
Therefore the height is 4m, the breadth = 12 m and the length = 20m.
So the area of all the surfaces
= 2 * short wall + 2 * long wall + floor + ceiling
= 2 *4*12 + 2*4*20 + 12*20 + 12*20
= 96 + 160 + 240 + 240
= 736 m^2.
Cost plastering = 736 * 30 = Rs. 22,080
Write an equation that represents the line use exact numbers
Answer:
hello
f (2 ) = 6 et f ( 0 ) = 3
( 3 - 6 ) / ( 0 - 2 ) = - 3/- 2 = 3/2
ax = 3 x /2
f (0) = 3 ⇔ b = 3
f (x) = 3 x /2 + 3
also f ( 0) = 0 + 3 = 3
sorry
y = ax + b
b = 3
since the line cuts the y-axis in 3
then for a ? which is the slope..
we take 2 points on the line (0 ; 3) and (2 ; 6)
we move 2 units to the left to go up 3 units
so a = 3/2
=> y = 3/2x + 3
or
f(x) = 3/2x + 3
A cube is sliced as shown. Find the area of the cross section formed by the slice.
Answer: 5√(50) = 35.36 m^2
Step-by-step explanation:
The cross section is a rectangle, so its area formula is: Area = length * width.
If you look, the width is the diagonal of the side of the cube; thus, you can use Pythagorean theorem to find its measurement: a^2 + b^2 = c^2 → 5^2 + 5^2 = c^2 →
50 = c^2 → c = √(50)
Now, use the area formula and get: Area = 5 * √(50) = 5√(50) = 35.36 m^2 :)