Answer:
x²−25
Step-by-step explanation:
CLT:
Apply the formula (a-b)(a+b) = a^2*b^2. Substitute 'x' for 'a' and y for 'b'.
(x+5)(x−5)
=(x+5)(x+−5)
=(x)(x)+(x)(−5)+(5)(x)+(5)(−5)
=x²−5x+5x−25
=x²−25
Thats a lot of x's
Hope this helps!
If it does please give me a 'thanks'
Answer:
[tex]x^{2} -25[/tex]
Step-by-step explanation:
[tex](x+5)(x-5)[/tex]
[tex](x*x)(x*-5)(5*x)(5*-5)[/tex] multiply the insides by their opposites
[tex]x^{2}-5x+5x-25[/tex] this can also be shown as [tex]x^{2}+5x-5x-25[/tex]
[tex]x^{2} -25[/tex] the [tex]5x[/tex] and [tex]-5x[/tex] cancle each other out
The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the area of the circle is?
Answer:
12.56 [tex]cm^2[/tex] is the error in area of circle.
Step-by-step explanation:
Given that:
Radius of the circle, r = 10 cm
Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm
To find:
The error in area of circle = ?
Solution:
First of all, let us have a look at the percentage error in measurement of radius:
[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]
Now, we know that Area of a circle is given as:
[tex]A = \pi r^2[/tex]
[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]
Area according to r = 10
[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]
Now, error in area = 4% of 314 [tex]cm^2[/tex]
[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]
So, the answer is:
12.56 [tex]cm^2[/tex] is the error in area of circle.
A group of students plotted the number of hours they worked weekly during the holidays and the number of hours they spent cycling. Graph shows 0 to 60 on x and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Weekly Hours Cycling. Dots are made at the ordered pairs 10, 45 and 13, 35 and 16, 42 and 24, 32 and 26, 43 and 32, 29 and 37, 23 and 39, 27 and 42, 19 and 45, 21 and 49, 19 and 50, 12. Which statement best describes the relationship between the number of hours spent working and the number of hours spent cycling? Greater hours worked, fewer hours spent cycling. Fewer hours worked, fewer hours spent cycling. Greater hours worked, greater hours spent cycling. There is no relationship between hours spent working and hours spent cycling.
Answer:
Greater hours worked, fewer hours spent cycling.
Step-by-step explanation:
Answer:
Greater hours worked, fewer hours spent cycling.
Step-by-step explanation:
:)
What is the value of the rational expression when x=-2?
-7
-9
9
7
Answer:
9
Step-by-step explanation:
take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1
please simplify this
Answer:2a√(15a)
Step-by-step explanation:√(60a)=√(2×2×3×5×a×a×a)=2a√(15a)
PLEASE HELP ME IM SO CONFUSED The volume of a cube is x³ cubic units. The surface area of the cube is x³ square units. What is the value of x?
Answer: The value of x is 6.
Step-by-step explanation:
TO find the volume of a cube you cube any side length. so if the side length is 6.
6^3 = 216
To find the surface area of a cube you will square one of the side lengths and multiply it by 6.
so the side length is 6 and 6 squared is 36
36*6 = 216
The graph is of a function in the form p(t) = a • b ^t What is the function?
Answer:
p(t) = 5 × [tex]2^{t}[/tex]
Step-by-step explanation:
Use the points on the curve to evaluate a and b
Using (0, 5 ), then
5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus
a = 5
p(t) = 5[tex]b^{t}[/tex]
Using (1, 10 ), then
10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )
b = 2
Thus
p(t) = 5 [tex]2^{t}[/tex]
The exponential function is
[tex]p(t) = 5(2^{t})[/tex]
What is exponential function?
An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
Where,
b>0 and b is not equal to 1.
x is any real number.
If the variable is negative, the function is undefined for -1 < x < 1.
Here,
“x” is a variable
“b” is a constant, which is the base of the function.
and a is also constant.
According to the given question
We have an exponential function
[tex]p(t) = ab^{t} ...(i)[/tex]
And from the given graph, the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)
Substitute t = 0 and p(t) = 5 in (i)
⇒[tex]5 = a[/tex] or a = 5 ( because, [tex]b^{0} = 1[/tex] )
Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]
⇒ 10 = 5[tex]b^{1}[/tex]
⇒ b = 2
Therefore, the exponential function p(t) is given by
[tex]p(t) = 5(2^{t})[/tex]
Learn more about exponential function here:
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The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance?
Answer:
(a)Grade =7.5% (No warning sign is needed)
(b)Rise =90 feet
Step-by-step explanation:
[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]
(a)
Rise = 63 feet
Run (Horizontal distance) = 840 feet.
[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]
A warning sign should not be posted since its grade is less than 8%.
(b)
Grade = 9%
Run (Horizontal distance) = 1000 feet.
Recall that:
Grade = Slope X 100
[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]
The road rises 90 feet over a distance of 1000 feet.
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190. Approximately when will the projectile hit the ground? 1.5 seconds 3.2 seconds 5.3 seconds 6.2 seconds
Hello! :)
—————— ☆ ☆———————————————————————————-
Answer:
5.3 seconds
Step-by-step explanation:
The answer is 5.3 seconds because
If you solve this equation than you will see how it is 5.3 seconds.
Equation: [tex]h (t) = -16t ^ 2 + 48t + 190 [/tex]
Also if you graph it, the answer will be 5.3 seconds
—————— ☆ ☆————————————————————————————
Hope this helps! :)
By: BrainlyMember ^-^
Good luck!
Answer:
^ as the other person said, it's 5.3
Step-by-step explanation:
edge
cuanto es 45 dividido en 4
Answer:
11.25
Step-by-step explanation:
45 ÷ 4 = 11.25
Answer:11.25
Step-by-step explanation:
4 can fit into 44 11.25
If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? Which order pair is it? {(2, 1), (4, 2), (6, 3)} {(1, 2), (2, 4), (3, 6)} {(4, 0), (6, 1), (8, 2)} {(0, 4), (1, 6), (2, 8)}
Answer:
the fourth set
Step-by-step explanation:
if you plug this equation into desmos and look at the x-values, you will see that the fourth set is the only one with points that make this equation true.
Answer:
D
Step-by-step explanation:
HELP ASAP NEED HELPPP
the number 3^13 - 3^10 is divisible by
Find the surface area of a triangular pyramid with side of 6m, height of 5.2 m, and altitude of 7.2m
Answer:
6x5.2/2=15.6 and four sides so 15.6*4=62.4 and left with 7.2*6/2=21.6 and add u get 84
Step-by-step explanation:
Simplify: ( ++)2 + ( −+)2 + ( +−)2
Answer:
[tex]-2[/tex]
Step-by-step explanation:
[tex]( ++)2 + ( -+)2 + ( +-)2[/tex]
[tex]++ = +[/tex]
[tex]-+ = -[/tex]
[tex]+- = -[/tex]
[tex]( +)2 + ( -)2 + ( -)2[/tex]
[tex]2-2-2[/tex]
[tex]=-2[/tex]
HELPPPPP NOWWWWWWWWWWWWW PLEASE
Answer:
B. SAS
Step-by-step explanation:
the line that joins the 2 triangles is considered a side, if you put an angle in between 2 sides its SAS.
Keisha wants to buy a stereo. Her mother said if Keisha saved 75% of the cost of the stereo, she would pay the other 25% and the taxes. If the cost of the stereo is $150.00, how much money does Keisha need to save?
Answer:
$112.50
Step-by-step explanation:
150x.75=112.5
Answer:
its 112.50
Step-by-step explanation:
i got it right
The mean age of 8 women in an office is 20 years old. The mean age of 12 men in an office is 32 years old. What is the mean age (nearest year) of all the people in the office? Answer it please because it would be helpfull alot
Answer:
27.2
Step-by-step explanation:
The mean age of 8 women in the office is 20 years old
The mean age of 12 men in an office is 32 years old
The first step is to calculate the mean of the both the men and women in the office, that way we will be able to know the sum.
The mean of the women can be calculated by taking the sum of the value and dividing by the number
= 20+20+20+20+20+20+20+20/8
= 160/8
= 20
The mean of the men can be calculated by taking the sum of the values and dividing by the number
=32+32+32+32+32+32+32+32+32+32+32+32/12
= 384/12
= 32
Therefore, to find the mean age of people in the office we add the sum of both the men and women and divide by the total number of people in the office
= 384+160/20
= 544/20
= 27.2
Hence the mean age of people in the office is 27.2
Find the area of the triangle. A. 17.7 B. 6.1 C. 8.1 D. 21.4
Answer:
17.7
Step-by-step explanation:
Area of a triangle is 1/2×L×B
since a degree is given we are to multiply it with it and we are to use SIN
so 1/2×sin65×4.5×13.1
sin65= 0.6018
so 1/2×0.6018×4.5×13.1
=35.47/2
=17.7
The area of the triangle is 17.7 square inches option (A) 17.7 is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We know,
The area of the triangle:
A = ab(sinx)/2
a = 13.1 cm, b = 4.5 cm, x = 37 degrees
A = 13.1×4.5(sin37)/2
A = 29.475sin37
A = 17.7 square inches
Thus, the area of the triangle is 17.7 square inches option (A) 17.7 is correct.
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8. Identify which equation is a graph of a vertical line.
0 4x = -9y
O 2y = -10
O 10x = 10
0 -7x = -1ly
Answer:
10x = 10.
Step-by-step explanation:
The equation will contain the x variable only.
-8÷2+12x9-4x6
56 + 7x2
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textsf{Question \#1.}[/tex]
[tex]\mathbf{-8\div2 + 12 \times9 - 4\times6}\\\mathbf{= -4 + 12\times9 - 4\times6}\\\mathbf{= -4 + 108 - 4\times6}\\\mathbf{= 104 - 4\times6}\\\mathbf{= 104 - 24}\\\mathbf{= 80}[/tex]
[tex]\huge\textsf{Therefore, your answer is: \boxed{\mathsf{80}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Question \#2.}[/tex]
[tex]\mathbf{56 + 7\times2}\\\mathbf{= 56 + 14}\\\mathbf{= 70}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{70}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]1)make x the subject of h=4(x+3y)+2 2) make a the subject of a^2+b^2=c^2
Answer:
[tex]\frac{h-12-2}{4} = x[/tex] & a² = c² - b²
Step-by-step explanation:
h = 4 (x + 3y) + 2
Expand brackets
h = 4x + 12y + 2
Subtract 12y & 2 from both sides
h - 12y - 2 = 4x
Divide both sides by 4
[tex]\frac{h-12-2}{4} = x[/tex]
a² = c² - b²
Then √ both sides to lose the ²
Find the next 4 terms of this Fibonacci sequence -x, x+y, y
Answer:
see explanation
Step-by-step explanation:
Any term in a Fibonacci sequence is the sum of the previous 2 terms.
Given the first 3 terms then
a₄ = a₂ + a₃ = x + y + y = x + 2y
a₅ = a₃ + a₄ = y + x + 2y = x + 3y
a₆ = a₄ + a₅ = x + 2y + x + 3y = 2x + 5y
a₇ = a₅ + a₆ = x + 3y + 2x + 5y = 3x + 8y
Thus the next four terms are
x + 2y, x + 3y, 2x + 5y, 3x + 8y
A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag the possibility of not drawing a black marbles is? The probability of drawing a red marble is?
Answer:
3/10
Step-by-step explanation:
as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.
Answer:
The possibility of not drawing a black marble= 4/5
The probability of drawing a red marble = 3/10
Step-by-step explanation:
Blue marbles = 5
Black marbles = 2
Red marbles = 3
Total marbles = 5 + 2 + 3 = 10
The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5
The probability of drawing a red marble = No of red marbles/Total marbles =3/10
The triangles shown below must be congruent.
A. True
B. False
Answer:
true
Step-by-step explanation:
Gabriel note sur une frise chronologique les événements familiaux importants. Il utilise des entiers positifs ou négatifs. Pour écrire une date avant sa naissance, il utilise des nombres négatifs et pour une date après sa naissance, des nombres positifs. Par exemple, la mère de Gabriel a reçu une médaille en l'an -20−20minus, 20 et la sœur de Gabriel est née en l'an +5+5plus, 5. Que représente l'année 0~?0 ?0, space, question mark Réponse : Réponse : L'année où la sœur de Gabriel est née L'année de la naissance de Gabriel L'année où la mère de Gabriel a reçu une médaille
Answer:
L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.
Option B is correct.
The number 0 represents the year when Gabriel was born.
Step-by-step explanation:
Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.
Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.
J'espère que cela t'aides!!!
English Translation
Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:
A) The year when Gabriel's sister was born
B) The year when Gabriel was born
C) The year when Gabriel's mother received a medal
Solution
It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.
Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.
Hope this Helps!!!
Which best describes the dimensions of a line?
In a championship basketball game, Paula Zimmerman scored twice as many points as Maria Kaminsky. If the total number of points made by both women was 51, find how many points Paula scored.
Answer:
x=34
y=17
Step-by-step explanation:
Let Paula's score be= x
Let Maria's score be=y
Given:
x=2y
x+y=51
Substitution:
2y+y=51
Formula:
2y+y=51
3y=51
y=17
x=2y
x=2(17)
x=34
Proof:
x+y=51
34+17=51
51=51
Hope this helps ;) ❤❤❤
Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She needed to turn her transit (her survey instrument) 75° to sight on a second survey marker. She knows that from the second marker, the angle between the line of site from her own position and the first marker is 68°. How far is she from the second marker?
Answer:
85.9 m
Step-by-step explanation:
The law of sines can help figure this.
The remaining angle in the triangle is ...
180° -75° -68° = 37°
This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...
b/sin(B) = c/sin(C)
b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters
The surveyor is about 85.9 meters from the second marker.
If 4 is added to three quarter of a number and the result is 1. Find the number.
Answer:
-4Step-by-step explanation:
Let the number be X
According to Question,
[tex]4 + \frac{3}{4} x = 1[/tex]
[tex]4 + \frac{3}{4} x - 4 = 1 - 4[/tex]
[tex] \frac{3}{4} x = - 3[/tex]
[tex]x = \frac{ - 3 \times 4}{3} [/tex]
[tex]x = \frac{ - 12}{3} [/tex]
[tex]x = - 4[/tex]
Hope this helps...
Good luck on your assignment...
9. A water glass can hold 2/9 of a litre of water. How many glasses of water can be filled with a 3 litre bottle?
Answer:
13.5 glasses of water
Step-by-step explanation:
If:
1 water glass can hold 2/9 of a litre
x water glasses can hold 3 litres.
Therefore, expressing it as a litre to glass ratio, we have::
[tex]\dfrac{2/9}{1}=\dfrac{3}{x} \\\dfrac{2}{9}x=3\\$Divide both sides by$ \dfrac{2}{9}\\x=3 \div \dfrac{2}{9}\\x=3 \times \dfrac{9}{2}\\\\x=13.5[/tex]
Therefore, 13.5 glasses of water can be filled with a 3 litre bottle.