Answer:
6
Step-by-step explanation:
12/2=6/1=6
Answer:
6
Step-by-step explanation:
If f(x)=2x+1/x-4, what is the value of f^-1(3)?
Answer:
D. 13.
Step-by-step explanation:
f(x)=2x+1/x-4
let y = 2x + 1 / x - 4
xy - 4y = 2x + 1
xy - 2x = 4y + 1
x(y - 2) = 4y + 1
x = (4y + 1)/(y - 2)
So f^-1(x) = (4x + 1)/(x - 2)
and f^-1(3) = (4(3) + 1) / (3 - 2)
= 13/1
= 13.
Based on the areas of the squares, determine whether the triangle shown is a right triangle. side A : 7 square inches side B : 18 square inches side C : 27 square inches It is for. khan acadmey
Answer:
The triangle ABC is not a right triangle
Step-by-step explanation:
For a right angle triangle, we have;
The square of the longest side or leg of the triangle is equal to the sum of the squares of the other two legs
The parameters given from the question, are;
The square of of the length of side A = 7 inch²
The square of of the length of side B = 18 inch²
The square of of the length of side C = 27 inch²
Therefore, the the longest side is side C and the inch² sum of the squares of the other two sides are 7 + 18 = 25 inch² which is less than the square of the length of side C = 27 inch², therefore, the triangle ABC is not a right triangle.
Answer:
Not a right angle
Step-by-step explanation:
Khan academy is never wrong :3
Daniel buys 17 raffel ticket a total of 280 tickets were soldFind the probability that daniel does not win
Answer:
280-17=273
Step-by-step explanation:
because 80-17 equals 73 sooooooo add 200
A plane is flying at a cruising speed of 900 km/h. How far will the plane travel from 11:15 a.m. to 1:30 p.m. on the same day?
Step-by-step explanation:
so the answer must be 2025 km.
The distance of the plane travel from 11:15 a.m. to 1:30 p.m. on the same day will be 2025 km.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A plane is flying at a cruising speed of 900 km/h.
The distance of the plane travel from 11:15 a.m. to 1:30 p.m. on the same day will be
From 11:15 a.m. to 1:30 p.m., there are 2.25 hours.
Then the distance will be
D = 900 x 2.25
D = 2025 km
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order Operation
SIMPLIFY : −2b−5z−6+4b−3z
Answer:
2b - 8z - 6
Step-by-step explanation:
Rearrange the equation, so like terms are near each other
-2b+4b-3z-5z-6
Now we add the b's and z's to get,
2b - 8z - 6
Answer:
2b -8z -6
Step-by-step explanation:
−2b−5z−6+4b−3z
Combine like terms
−2b+4b−5z−3z−6
2b -8z -6
Which lists all the integer solutions of the equation |x| = 7? –7 and 7 7 only 0 and 7 –7 only
Answer:
aa
Step-by-step explanation:
Which geometric figures are drawn on the diagram? Check all that apply. Line segment C A Ray A C ∠ABC Circle C Ray B E ∠BCE Line segment A E
The geometric figures are drawn on the diagram are option A,B,D, and F.
What is the circle theorem?One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.
we know that
case a) ∠ABC
The geometric figure is not drawn in the diagram case is b) ∠BCE
The geometric figure is drawn in the diagram case is c) line segment CA
The geometric figure is drawn in the diagram case is d) Ray CA
The geometric figure is drawn in the diagram case is e) Circle C
The geometric figure is drawn in the diagram case is f) Ray BE
The geometric figure is not drawn in the diagram case is g) LIne segment AE
Hence, The geometric figures are drawn on the diagram are option A,B,D, and F.
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What is the smallest angle of rotational symmetry for the regular octagon? °
Explanation:
There are n = 8 sides in a regular octagon. The smallest angle of rotational symmetry is 360/n = 360/8 = 45 degrees. Rotating this amount will not change the regular octagon. The before and after will look identical.
ANSWER:
Your answer is 45 Degrees
what does 79 = 61 + v equal
Answer:
v = 18
Step-by-step explanation:
Given
79 = 61 + v ( subtract 61 from both sides )
18 = v
Which of the following is a correct interpretation of the expression 3 - (-5)?
Chanc 1 answer.
Answer:
8
Step-by-step explanation:
3 - (-5)
This can be rewitten to
3 + 5
Why?
2 negatives cancel each other out to make a positive, therefore:
3 + 5 = 8 or 3 - (-5) = 8
Answer:
8
Step-by-step explanation:3-(-5)=8 because two negatives make a positive so it is like adding 3 and 5 together to get the answer of 8.
Evaluate 0 · |-6|. -6 0 6
Answer:
0
Step-by-step explanation:
0 · |-6|
Absolute value means take the non negative number
0* 6
0
The value of the given absolute value equation 0 · |-6| is 0.
Given that an absolute value equation 0 · |-6|, we need to evaluate this.
To evaluate the expression 0 · |-6|, let's break it down step by step:
First, calculate the absolute value of -6:
|-6| = 6
Now, multiply the result from step 1 by 0:
0 · 6 = 0
When you multiply any number by 0, the result is always 0.
In this case, even though |-6| equals 6, multiplying it by 0 will make the overall result 0.
This is a fundamental property of multiplication with zero.
So, the final answer is 0.
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somebody please help me on this i’ll mark u the brainliest please don’t waste my answers
Answer:
5 < x < 27 {x - lenght of unknown side}Step-by-step explanation:
If we have triangle of sides: a, b, c, and a < b < c (or b<a<c) then:
for triangle to exist:
a + b > c
So:
if a=11, b=16 then 11 + 16 > c ⇒ c < 27
if a=11, c = 16 then 11 + b > 16 ⇒ b > 5
We don't know if the unknown side (x) is the longest or not, so it has to be greater than 5 and less than 27
5 < x < 27
somebody please help me on this it’s for geometry please don’t waste my answers i’ll mark you the brainliest
PLEASE HELP!! Solve the triangle
Answer:
Option D. m<A = 43, m<B = 55, a = 20
Step-by-step explanation:
1. Determination of angle B.
Angle C = 82
Opposite C (c) = 29
Opposite B (b) = 24
Angle B =?
Using Sine rule, we can obtain the value of angle B as follow:
b/Sine B= c/Sine C
24/Sine B = 29/Sine 82
Cross multiply
29 × Sine B = 24 × Sine 82
Divide both side by 29
Sine B = (24 × Sine 82) /29
Sine B = 0.8195
Take the inverse of Sine.
B = Sine¯¹ (0.8195)
B = 55
2. Determination of angle A.
Angle C = 82
Angle B = 55
Angle A =?
The value of angle A can be obtained as follow:
A + B + C = 180 (sum of angle in a triangle)
A + 55 + 82 = 180
A + 137 = 180
Collect like terms
A = 180 – 137
A = 43
3. Determination of side a (Opposite A)
Angle C = 82
Opposite C (c) = 29
Angle A = 43
Opposite A (a) =?
The value 'a' can be obtained as by using sine rule as illustrated below:
a/Sine A = c/Sine C
a/Sine 43 = 29/Sine 82
Cross multiply
a × Sine 82 = 29 × Sine 43
Divide both side by Sine 82
a = (29 × Sine 43) /Sine 82
a = 20
Therefore,
m<A = 43, m<B = 55, a = 20
What is the approximate area of the circle shown below?
18cm
A. 28.3 cm2
B. 1018 cm2
C. 254 cm2
D. 56.5 cm2
Answer
the answer is 254 cm 2
Step-by-step explanation:
The area of the circle will be 254 square cm. Then the correct option is C.
What is the area of a circle?Let r be the diameter of the circle. Then the area of the circle will be
A = (π / 4)d² square units
The radius of the circle is 18 cm.
Then the area of the circle will be
A = (π / 4) x (18)²
A = 254.46 ≈ 254 square cm
Then the correct option is C.
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if 5 + 2root3/7 + root3 = a-root3b find a and b where a and b are rational no
Answer:
a = 29/46
b= - 9/46
Step-by-step explanation:
Given:
(5 + 2√3)/(7 + √3) = a - √3bRationalizing the left side:
(5+2√3)(7-√3)/(7+√3)(7-√3) = (35 + 14√3 - 5√3 - 2√3²)/(7² - √3²) =(35 - 6 + 9√3)/(49 - 3) =(29 + 9√3)/46 = 29/46 + √3 (9/46)Comparing the left and right sides:
a - √3b = 29/46 + √3 9/46a = 29/46b = - 9/46Paula invests $600 at a rate of r% per year simple interest. At the end of 10 years, the total interest earned is $90. Find the value of r.
Answer:
1.5%
Step-by-step explanation:
To find Rate in Simple Interest:
R = 100 S.I / T × P
R = 100 × 90/10 × 600
R = 9/6
R = 1.5%
1.5% is the rate.
From point A and B on level ground, the angles of
elevation of the top of a building
Are 25 degree and 37degrees respectively
1f AB= 57m calculate to the nearest metre the distance of the top building from A and B if they are both on the same side of
the building
Answer:
Step-by-step explanation:
Call T the top
call G the bottom
T G B is a right triangle
37 at B, 90 at G, thus 53 at BTG
TGA is a right triangle
25 at A, 90 at G, thus 65 at ATG
thus 122 at ABT
law of sines:
sin 25 / BT = sin 12/ 57
so BT = 156 meters (first answer)
now angle ABT = 180 - 12 - 25
= 143
so
sin 143 /AT = sin12/57
AT = 164 meters, second answer
Question 11 (1 point)
(01.02)
Given the function f(x) = 4(x+3) - 5, solve for the inverse function when x = 3. (1 point)
а. -21
b. -16
с. -10
d. -1
Answer:
D
Step-by-step explanation:
Insert 3 in place of x in the inverse function.
A triangle has a base of (3x+7) and a height of (5x-1)a second triangle is drawn with a base that is tripled and its height is doubled. Find the difference between the area of the original triangle and the area of the new triangle
Answer:
The difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2
Step-by-step explanation:
We know that the area of a triangle A = 1/2bh where b = base and h = height.
Let A be the area of triangle 1 with base (3x + 7) and height (5x - 1).
So its area A = (3x + 7)(5x - 1)/2.
Now for the second triangle, the base is tripled, so its base is 3(3x + 7) and its height is doubled, so its height is 2(5x - 1)
So its area is A' = 3(3x + 7) × 2(5x - 1)/2 = 3(3x + 7)(5x - 1)
So the difference between the area of the original triangle and the new triangle is
A' - A = 3(3x + 7)(5x - 1) - (3x + 7)(5x - 1)/2
= (3x + 7)(5x - 1)(3 - 1/2)
= 5(3x + 7)(5x - 1)/2
So the difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2
A boat travels x miles per hour upstream on the Mississippi River. On the return trip, the boat travels 2 miles per hour faster. How far does the boat travel upstream?
Answer:
Distance = 17.5 miles
Step-by-step explanation:
Note.
Given question is not complete
Given:
Speed upstream = x
Time taken in upstream = 3.5 hour
Speed in return trip = (x+2)
Time taken in return trip = 2.5 hour
Computation:
Distance = speed × time
Distance = x (3.5)
Distance = 2.5 (x+2)
Distance = 2.5x + 5
So,
2.5x + 5 = 3.5 x
1.5 x = 5
x = 5 miles/hour
Distance = x (3.5)
Distance = 5 (3.5)
Distance = 17.5 miles
I need answers ASAP! Thanks!
Step-by-step explanation:
43. P, U
44. 7
53. Airplanes can be traveling on different planes, one plane above the other. Cars on the same intersection are on the same plane.
55
a. You can choose (4 * 3 * 2)/(3 * 2) = 4 groups of 3 points in which order does not matter.
One of those combinations does not have K, so 3 combinations of the 4 have K.
p = 3/4
b. p = 1 since any three points are always coplanar.
-5r + 2r = -3
wedaescfsadgfdsfvsd
Answer:
r=1
Step-by-step explanation:
-5r+2r=-3r
-3r=-3
Divide by -3 on both sides
r=1
NEED HELP ASAP algebra 2
Answer:
b = sqrt(39)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2
5^2 + b^2 = 8^2
25+b^2 =64
b^2 =64-25
b^2 =39
Take the square root of each side
b = sqrt(39)
Answer:
[tex]\sqrt{39}[/tex]
Step-by-step explanation:
Step 1: Find the unknown wide using Pythagorean Theorem
[tex]a^{2}+ b^{2} = c^{2}[/tex]
[tex]a^{2}+ 5^{2} = 8^{2}[/tex]
[tex]a^{2}+ 25 = 64[/tex]
[tex]a^{2}= 64-25[/tex]
[tex]a^{2=39[/tex]
[tex]\sqrt{a^{2}} = \sqrt{39}[/tex]
[tex]a=\sqrt{39}[/tex]
[tex]\sqrt{39}[/tex] cannot be simplified and more
Therefore the unknown side is [tex]\sqrt{39}[/tex]
Does the equation y=3x3+4x2+15x+7 represent a function? Explain. A. No, the equation is not a function because it is a polynomial and polynomials cannot be functions. B. A. No, the equation is not a function because there are multiple terms that contains the variable x. C. Yes, the equation is a function because there is only a single term that contains the variable y. D. Yes, the equation is a function because it is a polynomial and all polynomials are functions.
Your answer would be D, the equation is a function because it is a polynomial and all polynomials are functions.
Step-by-step explanation: I like to remember that polynomials have no negative , fraction exponents and no division. In this case everything is positive so I knew it was a polynomial , and like the answer says all polynomials are functions ! Hope this helped
Josue is running intervals. If he runs high-speed intervals in 16 seconds, and low-speed intervals in 23 seconds, and he runs a combined total of 15 intervals in 4 minutes and 56 seconds, how many of each type of interval did he run?
Answer: He run 7 high-speed intervals and 8 low-speed intervals.
Step-by-step explanation:
Let x = Number of high-speed intervals.
y= Number of low-speed intervals .
He runs high-speed intervals in 16 seconds, and low-speed intervals in 23 seconds, and he runs a combined total of 15 intervals in 4 minutes and 56 seconds.
4 min 56 sec = (4(60)+56) sec = 296 sec [ 1 minute = 60 seconds]
According to the question , we have the following linear equations :
[tex]x+y=15\ ...(i)\\\\ 16x+23y=296\ ...(ii)[/tex]
Multiply (i)by 16 , we get
[tex]16x+16y=240\ ...(iii)[/tex]
Subtract (iii) from (ii)
[tex]7y=56\\\\\Rightarrow\ y=8[/tex]
Put value of y in (i) , we get
[tex]x+8=15\Rightarrow\ x=7[/tex]
Hence, he run 7 high-speed intervals and 8 low-speed intervals.
Calculate 12% simple interest to be paid on a loan of $2000 repaid in 1 1/2 year?
Answer:
1320
Step-by-step explanation:
as
SI=(P×T×R)/100
SI=(2000×12×11/2)/100
SI=132000/100
:.SI=1320
Answer:1320
Step-by-step explanation:2000×12×11/2/100
Two divide by twelve=6
2000÷100=20
20×6×11=1320
8.8 + 7.8x = -7.9 - 5.5x
Answer:
[tex]-\frac{16.7}{13.3}[/tex]
Step-by-step explanation:
Step 1: Collect the like terms
8.8 + 7.9 = -5.5x - 7.8x
Step 2: Simplify
16.7 = -13.3x
Step 3: Divide both sides by -13.3
[tex]\frac{16.7}{-13.3} =\frac{-13.3}{-13.3}x[/tex]
[tex]x =- \frac{16.7}{13.3}[/tex]
Therefore the answer is [tex]-\frac{16.7}{13.3}[/tex]
Answer:
x = -1 34/133
Step-by-step explanation:
Given
8.8 +7.8x = -7.9 -5.5x
13.3x = -16.7 . . . . . . . . . . . add 5.5x -8.8
x = -16.7/13.3 = -167/133 . . . . divide by 13.3 and simplify
x = -1 34/133 ≈ -1.25564
1-22. Find the perimeter and area of each figure below.
Answer:
a) Area=9 units²
Perimeter=18 units
b) Area=28ft²
Perimeter=24ft
c) Area=120cm²
Perimeter=46cm
Step-by-step explanation:
a) Area=9 units²
Perimeter=18 units
b) Area=28ft² (7x4)
Perimeter=24ft (7+5+7+5)
c) Area=120cm² (15x8)
Perimeter=46cm (15+8+15+8)
evaluate the expression
Answer:
[tex]12-[20-2(6^2\div3\times2^2)]=88[/tex]
Step-by-step explanation:
So we have the expression:
[tex]12-[20-2(6^2\div3\times2^2)][/tex]
Recall the order of operations or PEMDAS:
P: Operations within parentheses must be done first. On a side note, do parentheses before brackets.
E: Within the parentheses, if exponents are present, do them before all other operations.
M/D: Multiplication and division next, whichever comes first.
A/S: Addition and subtraction next, whichever comes first.
(Note: This is how the order of operations is traditionally taught and how it was to me. If this is different for you, I do apologize. However, the answer should be the same.)
Thus, we should do the operations inside the parentheses first. Therefore:
[tex]12-[20-2(6^2\div3\times2^2)][/tex]
The parentheses is:
[tex](6^2\div3\times2^2)[/tex]
Square the 6 and the 4:
[tex](36\div3\times4)[/tex]
Do the operations from left to right. 36 divided by 3 is 12. 12 times 4 is 48:
[tex](36\div3\times4)\\=(12\times4)\\=48[/tex]
Therefore, the original equation is now:
[tex]12-[20-2(6^2\div3\times2^2)]\\=12- [20-2(48)][/tex]
Multiply with the brackets:
[tex]=12-[20-96][/tex]
Subtract with the brackets:
[tex]=12-[-76][/tex]
Two negatives make a positive. Add:
[tex]=12+76=88[/tex]
Therefore:
[tex]12-[20-2(6^2\div3\times2^2)]=88[/tex]