Answer:
114
Step-by-step explanation:
114
Evaluate the expression when a=3.
a^2 - 6a -5
Answer:
- 14
Step-by-step explanation:
a = 3
a^2 - 6a - 5
= 3^2 - 6 ( 3 ) - 5
= 9 - 18 - 5
= 9 - 23
= - 14
I can’t figure out which formula goes with which sequence. Help……. Please???
1st sequence:
1,3,9,27,….
What is the formula?
2nd sequence:
400,200,100,50,…
What is the formula?
3rd sequence:
4,8,16,32,…
What is the formula?
4th sequence:
400,100,25,6.25,…
What is the formula?
5th sequence:
1,5,25,125,…
What is the formula?
6th sequence:
1000,500,250,125,…
What is the formula?
7th sequence:
2,10,50,250
What is the formula?
I need to know the correct geometric sequence formula for each of these sequences. Thanks!!!
For a geometric sequence
a, ar, ar ², ar ³, …
the n-th term in the sequence is ar ⁿ ⁻ ¹.
The first sequence is
1, 3, 9, 27, …
so it's clear that a = 1 and r = 3, and so the n-th term is 3ⁿ ⁻ ¹.
The second sequence is
400, 200, 100, 50, …
so of course a = 400, and you can easily solve for r :
200 = 400r ==> r = 200/400 = 1/2
Then the n-th term is 400 (1/2)ⁿ ⁻ ¹.
Similarly, the other sequences are given by
3rd: … 4 × 2ⁿ ⁻ ¹
4th: … 400 (1/4)ⁿ ⁻ ¹
5th: … 5ⁿ ⁻ ¹
6th: … 1000 (1/2)ⁿ ⁻ ¹
7th: … 2 × 5ⁿ ⁻ ¹
If it takes a team of three painters to paint a 7-room house in a day, how many painters are required to paint a 14-room house in a day?
Answer: 6 Painters
Step-by-step explanation:
Total painters needed to paint 7-room house = 3 painters
Rooms painted by each painter = 3/7
Total painters needed to paint 14-room house = 3/7×14
= 42/7
= 6 painters
Therefore it will require 6 painters to paint 14-room house
please click thanks and mark brainliest if you like :)
Factor.
20x2 – 19x + 3
Answer:
Here is your answer!
Josie has 43 animal books and 29 art books. She puts all the books on 8 shelves. She puts the same number of books on each shelf.
How many books does Josie put on each shelf? Enter the answer in the box.
books
Answer:
9 books
Explanation:
Number of animal books = 43
Number of art books = 29
So, total number of books
= Number of animal books + Number of art books
= 43 + 29
= 72
Number of books in each shelf, if divided equally
= Total number of books/Number of shelfs
= 72/8
= 9
So, each shelf has 9 books in it.
Please help me figure out the 3 answers for each letters. PLEASE will be marked as brainliest if correct:))
Answer:
Step-by-step explanation:
Our interval is 180 to 270 so that's quadrant III. In quadrant 3, both x and y are negative. If we set up our right triangle in this quadrant and label it accordingly with the values given for tangent theta, we find that the missing length is the hypotenuse. Solve for that using Pythagorean's Theorem. Doing that gives us that the hypotenuse is [tex]\sqrt{61}[/tex]. Now we can solve for your other identities. First,
[tex]cos(2\theta)=2cos^2\theta-1[/tex] (There are 3 identities for cos(2θ) and regardless of which one you pick, the answer will be the same every time...promise!)
Filling in now:
[tex]cos(2\theta)=2(\frac{-5}{\sqrt{61} })^2-1[/tex] and simplified a bit:
[tex]cos(2\theta)=2(\frac{25}{61})-1[/tex] and a bit more:
[tex]cos(2\theta)=\frac{50}{61}-\frac{61}{61}[/tex] giving us, finally:
[tex]cos(2\theta)=-\frac{11}{61}[/tex]
Now for b. We have an identity for the half angle of sin:
[tex]sin(\frac{\theta}{2})=[/tex] ±[tex]\sqrt{\frac{1-cos\theta}{2} }[/tex] and filling in:
[tex]sin(\frac{\theta}{2})=[/tex] ±[tex]\sqrt{\frac{1-(-\frac{5}{\sqrt{61} } )}{2} }[/tex] which simplifies a bit to:
[tex]sin(\frac{\theta}{2})=[/tex] ±[tex]\sqrt{\frac{1+\frac{5}{\sqrt{61} } }{2} }[/tex] and a bit more to:
[tex]sin(\frac{\theta}{2})=[/tex] ±[tex]\sqrt{\frac{\sqrt{61}+5 }{2\sqrt{61} } }[/tex] I'm not sure if this is the form you need it in, but this is the answer, as convoluted and crazy as it may look.
As for the cosine half-angle, the identity is the same, except there's a + sign in the numerator of the identity instead of a -, giving us the solution:
[tex]cos(\frac{\theta}{2})=[/tex] ±[tex]\sqrt{\frac{\sqrt{61}-5 }{2\sqrt{61} } }[/tex]
10. A recipe for punch calls for 2 cups of fruit concentrate
and 6 cups of water.
How many cups of punch will the recipe make?
Find the value of x in each case:
Please help me
It's an easy 40 points if you answer this
Answer:
x = 45
Step-by-step explanation:
The angles labeled with the pink x are the same. Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.
We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180
x+x+ 2x = 180
4x= 180
4x/4 = 180/4
x = 45
HELP ASAP ILL GIVE BRAINLIST
The probability of a red candy being selected from a bowl is 0.9, and the probability of a pink frosted animal cookie being taken out of a different bowl is 0.4. What is the probability of getting both a red candy and a pink cookie?
Answer:
0.36
Step-by-step explanation:
To find the probability, just multiply.
probability of red candy * probability of pink cookie
0.9*0.4=0.36
I hope this helps!
The graph showing here is the graph of which of the following rational functions?
Answer: A
Step-by-step explanation:
The graph has a vertical asymptote at x = -2. In this situation, vertical asymptotes happen when the denominator equals zero, which leaves the function undefined. Therefore, find the answer choice whose denominator equals zero when x = -2.
A would be correct because when x = -2,
[tex]F(-2)=\frac{1}{-2+2}=\frac{1}{0}[/tex], which is undefined.
20° + 2pº
70°
p =
degrees
[tex]\\ \sf\longmapsto 20°+2p=70[/tex]
[tex]\\ \sf\longmapsto 2p=70-20[/tex]
[tex]\\ \sf\longmapsto 2p=50[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{50}{2}[/tex]
[tex]\\ \sf\longmapsto p=25[/tex]
Answer quick plsssssssssss
Answer:
$64
Step-by-step explanation:
Let the pay of Bella be x and Glen be y.
ATQ, 7x-5y=46 and 6x+5y=188, x=18, y=16.
Glen earned 4*16=64 bucks on Friday.
given the functions w( x) =2x+1 and vw(x) =4x²+4x-5,find w¯¹(x) answer meeeee
Answer:
Hello,
We don't need vw(x) !
[tex]w^{-1}(x)=\dfrac{x-1}{2}[/tex]
Step-by-step explanation:
[tex]w(x)=2x+1=y\\\\2y+1=x \ exchanging \ x\ and\ y\\\\y=\dfrac{x-1}{2} \\\\w^{-1}(x)=\dfrac{x-1}{2}[/tex]
Height is 2ft. More than its width. If the total area is 99ft squared , determine the dimensions of the painting.
Answer: [tex]9\times 11\ ft^2[/tex]
Step-by-step explanation:
Given
Height is [tex]2\ ft[/tex] more than its width
Suppose the width is [tex]x[/tex]. So, height becomes [tex]x+2[/tex]
Area of the painting is [tex]99\ ft^2[/tex]
Area is the product of width and height
[tex]\therefore 99=x(x+2)\\\Rightarrow 99=x^2+2x\\\Rightarrow x^2+2x-99=0\\\Rightarrow x^2+11x-9x-99=0\\\Rightarrow (x+11)(x-9)=0\\\Rightarrow x=-11,9[/tex]
Neglect the negative values
[tex]\text{Width =}9\ ft\\\text{height =}9+2=11\ ft[/tex]
A plane flies from London to Dubai and to Colombo. it leaves London at 01:50 and the total journey takes 13 hours and 45 minutes. The local time in Colombo is 7 hours ahead of London. Find the arrival time in Colombo
Answer:
11:35
Step-by-step explanation:
add 13 hour and 45 minutes to 1:50 giving you 4:35 and since the time is 7 hours ahead add another 7 hours and tada
The arrival time in Colombo is 10:35 pm.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Now, First, we need to convert 13 hours and 45 minutes to just hours.
We can do this by dividing the minutes by 60:
45 minutes ÷ 60 = 0.75 hours
So the total flight time is,
13 + 0.75 = 13.75 hours.
Next, we need to add the time difference between London and Colombo. Since Colombo is 7 hours ahead of London, we need to add 7 hours to the total flight time:
13.75 hours + 7 hours = 20.75 hours
Now we need to convert this to a time.
Since the flight left at 01:50, we can add 20 hours and 45 minutes to find the arrival time in Colombo:
01:50 + 20:45 = 22:35
So, the arrival time in Colombo is 10:35 pm.
Learn more about the addition visit:
https://brainly.com/question/25421984
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The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.
Calculate angle PRO.
Answer:
m<PQR = 18.7°
Step-by-step explanation:
Apply the Law of Sines,
[tex] \frac{Sin A}{a} = \frac{Sin B}{b} [/tex]
Where,
Sin A = Sin 140
a = 100 m
Sin B = Sin R (<PRQ)
b = 50 m
Substitute
[tex] \frac{Sin 140}{100} = \frac{Sin R}{50} [/tex]
Cross multiply
[tex] 100*Sin(R) = 50*Sin(140) [/tex]
Divide both sides by 100
[tex] Sin(R) = \frac{50*Sin(140)}{100} [/tex]
[tex] Sin(R) = 0.32139 [/tex]
[tex] R = Sin^{-1}(0.32139) [/tex]
R ≈ 18.7° (nearest tenth)
m<PQR = 18.7°
The angle PRO is 1.7 degrees.
Given that,
The diagram shows three points P, Q, and R on horizontal ground.
PQ = 50 m, PR = 100 m and angle PQR = 140°.
We have to determine,
The angle PRO.
According to the question,
The value of angle PRO is determined by using the sin rule-following all the steps given below.
[tex]\rm \dfrac{sina}{a} = \dfrac{sinb}{b}[/tex]
Where, Sin A = Sin 140 , a = 100 m , Sin B = Sin R (<PRQ) , b = 50 m
Substitute all the values in the formula,
[tex]\rm \dfrac{sin140}{100} = \dfrac{sinR}{50}\\\\ \dfrac{0.64}{100} = \dfrac{sinR}{50}\\\\0.0064 = \dfrac{sinR}{50}\\\\0.0064 \times 50 = sinR\\\\0.321 = sinR\\\\R = sin{-1}(0.321)\\\\R = 18.7 \ degree[/tex]
Hence, The angle PRO is 1.7 degrees.
For more details refer to the link given below.
https://brainly.com/question/12895249
Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if
necessary. please help !
Answer:
Step-by-step explanation:
Volume of a cuboid = length × breadth × height
lenth = 7
Breadth = 10
Height = 9
7 x 10 x 9
= 630 yd^2
Answered by G a u t h m a t h
please mark it as brainliest and thank it, if it helped you!
factor 36x + 18 + 12y using GCF HURRY!!!!
Answer:
6x + 3 + 2y
Step-by-step explanation:
The GCF is 6 as thats the largest factor, so you divide the numbers by 6.
6x + 3 + 2y
please finish this equation and write the answer
Given:
The equation is:
[tex]2540=\dfrac{22}{7}r^2(20)[/tex]
To find:
The solution for the given equation.
Solution:
We have,
[tex]2540=\dfrac{22}{7}r^2(20)[/tex]
It can be written as:
[tex]\dfrac{2540\times 7}{22\times 20}=r^2[/tex]
[tex]\dfrac{17780}{440}=r^2[/tex]
[tex]\dfrac{889}{22}=r^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{\dfrac{889}{22}}=r[/tex] [Radius cannot be negative]
[tex]r=6.3568145[/tex]
[tex]r\approx 6.36[/tex]
Therefore, the value of r is about 6.36 cm.
Find X round to the nearest tenth.
Answer: 83 degrees
Step-by-step explanation:
(16^2 + 8^2 - 17^2)/(2)(16)(8) = 83
Describe the test of divisibility for:
a) 6 b) 4
6 It is divisible by 2 and by 3.
4 it is divisible by 4...
The divisibility rules of 4 and 6 are completely different. In the divisibility rule of 4, if the last two digits are zeros or the number formed by the last two digits is exactly divisible by 4, then we can say that a number is divisible by 4.
HOPE ITS HELPFUL FOR U MATE
The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M′?
Answer:
(-4, -4)
Step-by-step explanation:
On a 2D graph, moving to the right means going up the x axis, to the left means down the x axis, up means up the y axis, and down means down the y axis.
The point is translated 2 units to the right. This means that it is going up the x axis by two units. As it is going up, we can say that it is increasing. Therefore, on a coordinate (x,y), going up the x axis means we add to the x value. For the point (-6, -4), we add 2 to the x value, or -6, to get -6+2 = -4 as our new x value.
Our new end value is (-4, -4)
x -12 = 14
---------------
[tex]x - 12 = 14 \\ x = 14 + 12 \\ x = 26[/tex]
it was help to you ❤︎❤︎❣︎❣︎★★★
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{x - 12 = 14}[/tex]
[tex]\huge\text{ADD 12 to BOTH SIDES}[/tex]
[tex]\huge\textsf{x - 12 + 12 = 14 + 12}[/tex]
[tex]\huge\boxed{\bullet}\huge\text{ CANCEL out: 12 - 12 because it gives}\\\huge\text{you 0}[/tex]
[tex]\huge\boxed{\bullet}\huge\text{ KEEP: 14 + 12 because it gives you}\\\huge\text{the RESULT of the x-value}[/tex]
[tex]\huge\textsf{a = 14 + 12}\\\huge\boxed{\rightarrow}\huge\textsf{ 14 + 12 = a}[/tex]
[tex]\huge\textsf{14 + 12 = \bf 26}[/tex]
[tex]\boxed{\huge\textsf{Therefore, your answer is: a = 26}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Pls answer all questions
5:-c
The 3multiples are 25,50,75
6:-c
[tex]\\ \sf\longmapsto 6\:of\:2+9-5[/tex]
[tex]\\ \sf\longmapsto 6(11-5)[/tex]
[tex]\\ \sf\longmapsto 6(6)[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
7:-a
12,17
8:-c
22=2×1188=2×2×2×11HCF=2×2×11=44
9:-c
LCM of 9 and 5 is 45 hence its true
10:-c
HCF of two consecutive numbers is 1
HELP I NEED HELP PLS IM FAILING ITS PYTHAGOREAN THEOREM
2^2 + 2^2 = h^2
8 = h^2
√8 = h
h = 2.82mm
Answered by Gauthmath must click thanks and mark brainliest
Please help explanation if possible
Answer:
y= -2x +8
Step-by-step explanation:
perpendicular lines have a negative reciprocal gradient so
1/2 becomes -2/1 which is the gradient
sub in the values of x and y
2= -2 (3) +C
2= -6 + C
8=C
y=-2x +8
Answer:
y = -2x + 8
Step-by-step explanation:
for me the easiest way is simply to transform the slope and then just determine the y-intersect.
the slope of the original line is 1/2.
it is always the factor of x and represents the y/x ratio of the function (how many units is y changing when x changes a certain number of units).
a perpendicular line (90 degree angle) simply reverses x and y and the sign of the original slope.
so, the slope of the perpendicular line is -2, and the equation is
y = -2x + c
and c we get by using the point coordinates :
2 = -2×3 + c
2 = -6 + c
c = 8
so, we have
y = -2x + 8
A changes
16. By accident, 6 burned out bulbs have been mixed in with 16 good ones, Ken is replacing old bulbs in his house. If he selects two bulbs at random from the box of 22, what is the
probability they both work?
Answer: 8/11
Step-by-step explanation:
This is because there are a total of 22 bulbs. 16 of those bulbs work, giving us the fraction: 16/22. If you simplify 16/22 by dividing the numerator and denominator by 2, you get 8/11.
=================================================
Explanation:
There are 16 working bulbs out of 6+16 = 22 bulbs total.
The probability of randomly selecting a working bulb is 16/22
After that first bulb is selected and not put back, the probability of randomly selecting another working bulb is 15/21. Take note that I subtracted 1 from each part of the original fraction.
So we get the answer of
(16/22)*(15/21) = 240/462 = 40/77 which is choice C.
------------
Extra info:
Choice A is only true if Ken puts the first selection back. You would compute (16/22)*(16/22) = 64/121. However, it sounds like he's not doing replacement. So whatever is selected is not put back. This is why I ruled out choice A.Choice B is ruled out as well because 16/22 = 8/11 refers to the probability of one working bulb (instead of 2 in a row)It's not clear how the fraction of choice D is formed, but we can rule it out because choice C is the answer.What is the measure of m?
Answer:
12
Step-by-step explanation:
bc it is
đưa về phương trình tích: f(x)=3x^2-2x-1
f(x)=3x²+x-3x-1
=x(3x+1)-(3x+1)
=(x-1)(3x+1)
The diagonals of a rhombus are perpendicular
Answer:
true
Step-by-step explanation: