Answer:
150%
Step-by-step explanation:
I hope this helps
What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?
Answer:
Below in bold.
Step-by-step explanation:
Using the quadratic formula :
roots = [-16 +/-√(16^2 - 4*16*5)] / (2*16)
= -0.5 +/- √(-64) /32
= -0.5 +/- 8i/32
= -0.5 + 0.25i and -0.5 - 0.25i
[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]
[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]
[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]
Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2
Answer:
1200
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
The correct answer is 1200.
What is the difference between two squares called?Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.
A difference of 2 squares factors in general is written as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
Learn more about the difference of 2 squares here https://brainly.com/question/3189867
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At time t = 0, water begins to drip out of a pipe into an empty bucket. After 77 minutes, there are 11 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The linear function rule is W =
Answer:
w = 1/7t
Step-by-step explanation:
Assuming the rate is constant, the function will be ...
w = kt
We can find k using the given values:
11 = k·77
k = 11/77 = 1/7
The linear function rule is w = 1/7·t.
Draw triangle GMT
PLS CREATE DRAWING!! refer to attachment
The angle between sides GM and MT is ∠M.
The 2 sides that include ∠T are MT and GT.
The angle between sides GT and MG is ∠G.
There's not much to say about this, but I can answer questions if you have any.
What is the value of p²q² given that p=10 and q=8?
Answer:
6400
Step-by-step explanation:
Substitute the given value into the expression
p²q²
= 10² × 8²
= 100 × 64
= 6400
Step-by-step explanation:
given that p=10
you would times 10 by itself so:
10x10=100
now the same for the q=8
8x8=64
now i think you would have to times 100 with 64 if not than there's your answer
which equals to 6400 (if you times it)
hope that helps
Pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's B.
Step-by-step explanation:
Thanksgiving Dinner Logic Grid Puzzle
Answer:
Step-by-step explanation:
Can someone please answer for a and c
Answer:
a=3√2, c= [tex]\frac{3\sqrt{2}}{2}[/tex]
Step-by-step explanation:
First Triangle, this is a 45-45-90 triangle
so the side are 1-1-√2
so if one of the side is 3, you multiply the above by 3
1*3-1*3-√2*3
therefore, a=3√2
Second triangle
this is a 30-60-90 Triangle
so the sides are x-x√2-2x
for this triangle
x√2=6
x=6/√2 --> multiply by √2/√2 --> this gets ride of the √2 in the denominator
x=6√2/4 --> simplify
x=[tex]\frac{3\sqrt{2}}{2}[/tex]
therefore, c=[tex]\frac{3\sqrt{2}}{2}[/tex]
8.
Use vertex form to write the equation of the parabola.
A. y= 3(x - 2)^2 - 2
B. y= (x + 2)^2 + 2
C. y= 3(x + 2)^2 + 2
D. y= 3(x - 2)^2 + 2
Answer:
C. y= 3(x + 2)^2 + 2
Step-by-step explanation:
A. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 2 , − 2 )
B. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( − 2 , 2 )
C. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( − 2 , 2 )
D. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 2 , 2 )
At Splatball Indoor Paintball, it costs $34.95 per person to play, and extra paintballs are available to buy. A group of n friends paid their admission, and also spent $94.95 on 2000 extra paintballs. They spent a total of $374.55. Write and solve an equation to determine n, the number of people in the group.
Answer:
$374.55 - $94.95 = $279.60 = N
$34.95 x 8 = $279.60
N=8
Step-by-step explanation:
The distance, d, that an object foto is directly proportional to the square of the time, t, it has been in free fall. An object that has been in free fall for 8 seconds has fallen 1024 feet. Determine the distance the object has fallen if it has been falling for 2 seconds
Answer:
d = 64 feet
Step-by-step explanation:
Given that d is directly proportional to t² then the equation relating them is
d = kt² ← k is the constant of proportion
To find k use the condition t = 8 , d = 1024 , then
1024 = k × 8² = 64k ( divide both sides by 64 )
16 = k
d = 16t² ← equation of proportion
When t = 2 , then
d = 16 × 2² = 16 × 4 = 64 feet
Help plz. No links.
What is 8.21 times 4.2?
Show your work.
Answer:
34.482 is the answer to your question
Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is
28 feet wide in real life. How wide is the stage in the drawing?
inches
Answer:
4 inStep-by-step explanation:
Use ratios and solve:
1 in ÷ 7 ft = x in ÷ 28 ftx = 28/7 inx = 4 inSelect all the products that are negative.
(–4)(–9)(2)
(–4)(9)
(6)(6)(–2)
(–6)(–6)
(6)(–6)
Answer:
(–4)(9)
(6)(–6)
(6)(6)(–2)
Step-by-step explanation:
(–4)(–9)(2)
=36(2)
=72, No
(–4)(9)
=-36, Yes
(6)(6)(–2)
=36(-2)
=-72, Yes
(–6)(–6)
=36, No
(6)(–6)
=-36, Yes
5 sin^2 x = sin x
please help.
[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]
Divide both sides by sin x[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]
[tex]\\ \sf\longmapsto 5sinx=1[/tex]
[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]
[tex]\\ \sf\longmapsto sinx=0.2[/tex]
[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]
[tex]\\ \sf\longmapsto x=11.53[/tex]
what is the vertical asymptote for this function?
y=1/x-2
Answer: x = 0
Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.
Answer:
2
Step-by-step explanation:
What is the area of this figure?
Given :-
A figure is given to us .To Find :-
The area of the figure .Solution :-
As we can see that the given figure is made up of a parallelogram and a ∆ . As we know that the opposite sides of a parallelogram are equal . So that the base of the ∆ would be 9cm . Now ,
[tex]\longrightarrow[/tex] Area = ar(||gm ) + ar(∆)
[tex]\longrightarrow[/tex] Area = (9*5 + 1/2*8*9)cm²
[tex]\longrightarrow[/tex] Area =( 45 + 45 ) cm²
[tex]\longrightarrow[/tex] Area = 90cm²
Hence the area of the given figure is 90cm² .
Xavier wants to order CDs online. Each CD costs $17.50 and shipping is $4. He only has $90 to spend.
please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
Answer:
We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.
Step-by-step explanation:
The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).
Help pleaseeee
Correct answers only
Answer: D 10
Step-by-step explanation:
15/32×16/27 The / stands for a fraction i would just like help please :)
Answer:
(24 × 3 × 5) / (25 × 33) =
((24 × 3 × 5) ÷ (24 × 3)) / ((25 × 33) ÷ (24 × 3)) =
(24 ÷ 24 × 3 ÷ 3 × 5)/(25 ÷ 24 × 33 ÷ 3) =
(2(4 - 4) × 1 × 5)/(2(5 - 4) × 3(3 - 1)) =
(20 × 1 × 5)/(2 × 32) =
(1 × 1 × 5)/(2 × 32) =
5/(2 × 32) =
5/(2 × 9) =
5/18
One centimeter is equal to 10^-2 meters. What decimal number
is equivalent to 10^-2
Answer: shoulb be to the thirs 4/8
Step-by-step explanation:
A cylinder has a base radius of 8 meters and a height of 19 meters. What is its
volume in cubic meters, to the nearest tenths place?
Answer:V≈3820.18m3 the best i got
Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps
Solve each equation.
1. r-38= 9 _____
2. h+17=40 _____
3. n + 75= 155 ____
4. q - 17= 18 _____
Answer:
1. r - 38 = 9
=> r = 9 + 38
=> r = 47
2. h + 17 = 40
=> h = 40 - 17
=> h = 23
3. n + 75 = 155
=> n = 155 - 75
=> n = 80
4. q - 17 = 18
=> q = 18 + 17
=> q = 35
Step-by-step explanation:
Hoped this helped.
Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?
Answer:
well like this 3/8
Step-by-step explanation:
3/8 and rest is 5/8 in fraction form
a teacher brought to class a pack of notebooks. if her gives his students 5 notebooks to each, he will have 7 notebooks left. if he tries to give each student 7 notebooks, he will be 5 notebooks short. how many students are there in the class?
Answer:
6 students
Step-by-step explanation:
Let the number of notebooks be $x$ and the number of students be $y.$
If there are 5 notebooks per student, we have:
$x-5y=7$
Simliairly, we have 7 notebooks per person, which is:
$x-7y=-5$
Then, using system of equations, we can add multiply the first equation by $-1$ and then add.
We would have:
$-1(x-7y=-5)=-x+7y=5$
Then, adding gives us:
$2y=12$
$y=6$
There are 6 students in the class.
Let x represent the number of students that are there in the class.
The teacher her gives his students 5 notebooks each, and still has 7 notebooks left.
The number of note books = 5x + 7 (1)
The teacher her gives his students 7 notebooks each, and was 5 notebooks short.
The number of note books = 7x - 5 (2)
Therefore equating equations 1 and 2:
5x + 7 = 7x - 5
7x - 5x = 7 + 5
2x = 12
x = 6
There are 6 students in the class.
Find out more at: https://brainly.com/question/24169758
for a brainlist let me know asap if i am correct
and pls explain
Answer:
A
Step-by-step explanation:
Select the ordered pair that is a solution to the equation represented by the graph.
Answer:
c
Step-by-step explanation:
pls help me with these 2 questions
Answer:
x(2x-1)=0
3x-1x=0
2x=0
x=0/2
x=0
Step-by-step explanation:
LCM
first term =3x
=3×x
second term = 4x²y
=2×2×x×x×y
third term =x(x+1)
LCM=x
Answer:
djeuiiuhjjjcjffvgbftvkrfjjjjjrjrjrjjnnrnrf
work out the circumference area of glass on top of a cabinet with a diameter of 1.8, using tt=3.4