Answer:
(4x^3 - 9)(4x^3 + 9)
Step-by-step explanation:
16x^6 - 81
write this in the form of a^2 - b^2
(4x^3)^2 - (9)^2
since a^2 - b^2 = (a + b)(a - b) . Write,
(4x^3 - 9)(4x^3 + 9)
The solutions of x^2=16x-28 are
Answer:
the solutions of x^2=16x-28 are
2) 2 and 14
The 89 bus comes every 8 minutes. The 368 bus comes every 12 minutes. Both buses are at the same stop at 9 am. At what time will they be at the same stop.
Answer:
9:24 am
Step-by-step explanation:
89 bus = 8 minutes
368 bus = 12 minutes
Find the lowest common multiple(L.C.M) of 8 minutes and 12 minutes
8 minutes = 16, 24, 32, 40, 48
12 minutes = 24, 36, 48, 60
The L.C.M of 8 minutes and 12 minutes is 24 minutes
Both buses are at the same stop at 9 am.
The next time both buses will be at the same stand = 9 am + 24 minutes
= 9:24 am
which event has exactly 12 possible outcomes?
tossing a coin 6 times
tossing a coin and randomly choosing 1 of 4 different cards
rolling a number cube with sides labeled 1 -6 and then rolling the number cube again
rolling a number cube with sides labeled 1-6 and tossing a coin
please help me TwT
Answer:
rolling a number cube with sides labeled 1-6 and tossing a coin
Step-by-step explanation:
if the coordinates of a point p(m-3,-6)=p(-7,-6), then find the value of m
m-3=-7
or, m=-7+3
therefore m=-4
Name the marked angle in 2 different ways.
Answer:
<NKM is the first.the second is <MKN
Answer:
< NKM and <MKN
Step-by-step explanation:
Alicia is a music artist. Her income can be represented by the function, f(a) = 200 + 12a, where a represents the total number of albums sold.
What is an acceptable domain for this situation?
Answer:
The answer is below
Step-by-step explanation:
A function shows the relationship between the set of inputs (independent variable) to the set of outputs (dependent variables).
The domain of a function is the set of possible inputs (independent variable) that satisfies the functions.
From the question, the domain of the function is the set of all possible vales of the inputs which is a (number of album sold).
Hence the domain of the function is:
0 < a < ∞
can someone help me with Q I can't seem to get it
Answer:
Can u do zoom it plz i cant see
Center is (2,-2) another point on the circle is (-4,6) An equation of the circle in standard form is what?
Answer:
(x - 2)^2 + (y + 2)^2 = 100
Step-by-step explanation:
We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.
Then the radius of this circle will be the distance between (2, - 2) and (-4, 6)
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Then the distance between (2, - 2) and (-4, 6) is:
[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]
Then the radius of the circle is R = 10
and we know that the center is (2, -2)
the equation for this circle is then:
(x - 2)^2 + (y - (-2))^2 = 10^2
(x - 2)^2 + (y + 2)^2 = 100
due in 1 hour ok help
Answer:
x = 13.2
Step-by-step explanation:
We know that
sin theta = opp / hyp
sin 27 = y/x
sin 27 = 6/x
x sin 27 =6
x = 6/sin 27
x=13.21613559
Rounding to 1 decimal place
x = 13.2
A line passed through the point (8,5) and has a slope of 2. Write an equation for this line
Answer:
y = 2x -11
Step-by-step explanation:
The equation of a line that passes through point x1, y1 is given as
y - y1 = m (x - x1)
where m is the slope of the line
Given that the line passes through the point (8,5) and has a slope of 2, the equation of the line
y - 5 = 2 (x - 8)
y - 5 = 2x - 16
add 5 to both sides
y = 2x - 16 + 5
y = 2x -11
Please help and thank u
Answer:
The answer to this question is C.
There are three people in Lee's family.
The range of their shoe sizes is 3.
Two people in the family wear shoe size 6.
Lee's shoe size is not 6 and it is not 3.
What is Lee's shoe size?
Answer:
αѕ hєrє thє ѕhσє rαngє íѕ gívєn = 3
αnd thє lєє fαmílч íѕ cσnѕíѕtєd σf thrєє pєσplє
thє ѕhσє ѕízє σf twσ pєσplєѕ = 6
wє knσw thαt rαngє = highest observation - lowest observation
so there are two probalities that lee s shoe size can be higher than the other two members by 3 units or greater than the other two members by 3 units
but one limitation given here that the lee shoe size is not smaller than the other two members by 3 units
so lee s shoe size = 6+3= 9 (ans)
Using the quadratic formula to solve x2 = 5-x, what are the values of x?
-1+/21
1-1+/19
5+/21
2.
1+ 191
2.
Answer:
Step-by-step explanation:
First get everything on the same side of the equals sign and set the quadratic equal to 0:
[tex]x^2+x-5=0[/tex] where a = 1, b = 1, c = -5:
[tex]x=\frac{-1+-\sqrt{1^2-4(1)(-5)} }{2(1)}[/tex] which simplifies down a bit to
[tex]x=\frac{-1+-\sqrt{21} }{2}[/tex] and your 2 solutions are
[tex]x=\frac{-1+\sqrt{21} }{2}[/tex] and [tex]x=\frac{-1-\sqrt{21} }{2}[/tex]
Simplify the following surd expressions
a) 7V3 - 2V3 + V3 - 3V3
b) 5V7 +4V7 – 8V7
Step-by-step explanation:
[tex]a) \: 7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
[Taking sq.root 3 common]
[tex] = (7 - 2 + 1 - 3) \sqrt{3} [/tex]
[tex] = (8 - 5) \sqrt{3} [/tex]
[tex] = 3 \sqrt{3} (ans)[/tex]
[tex]b) \: 5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
[Taking sq.root 7 common]
[tex] = (5 + 4 - 8) \sqrt{7} [/tex]
[tex] = (9 - 8)\sqrt{7} [/tex]
[tex] = 1 \sqrt{7} [/tex]
[tex] = \sqrt{7} (ans)[/tex]
What is the perimeter of this rectangle?
What is the area of the green shaded part?
Answer:
[tex] 7.74 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of the green shaded part
= Area of square with side 6 cm - Area of circle with radius (6/2=3) 3 cm.
[tex] = {side}^{2} - \pi {r}^{2} \\ = {6}^{2} - 3.14 \times {3}^{2} \\ = 36 - 28.26 \\ = 7.74 \: {cm}^{2} [/tex]
Find the volume of the composite solid below.
4 in.
4 in.
5 in.
5 in.
5 in.
Answer:
326.06 in^3
Step-by-step explanation:
Volume of the cylinder = [tex]\pi[/tex] · [tex]r^{2}[/tex] · h
Volume of the cylinder = [tex]\pi[/tex] · [tex]4^{2}[/tex] · 4
Volume of the cylinder = [tex]\pi[/tex] · 16 · 4
Volume of the cylinder = [tex]\pi[/tex] · 64
Volume of the cylinder = 201.06 in^3
Volume of the composite = length · width · height
Volume of the composite = 5 · 5 · 5
Volume of the composite = 125 in^3
201.06 + 125 = 326.06 in^3
The instantaneous coordinates of a particle are x=(4t-1) m and y=8t^2 m. Calculate average velocity at time interval 1s to 2s
Answer:
The average velocity of the particle is [tex]\vec {v}_{avg} = 4\,\hat{i} +24\,\hat{j}\,\left[\frac{m}{s} \right][/tex].
Step-by-step explanation:
In vector terms, the average velocity of a particle ([tex]\vec v_{avg}[/tex]), in meters per second, at a given time change ([tex]\Delta t[/tex]), in seconds:
[tex]\vec v_{med} = \frac{\Delta x}{\Delta t}\,\hat{i} + \frac{\Delta y}{\Delta t}\,\hat{j}[/tex] (1)
Where [tex]\Delta x[/tex] and [tex]\Delta y[/tex] is the change in position for x and y axes, in meters.
[tex]\Delta x = x(2) - x(1)[/tex]
[tex]\Delta x = (4\cdot 2 - 1)-(4\cdot 1 - 1)[/tex]
[tex]\Delta x = 4\,m[/tex]
[tex]\Delta y = y(2) - y(1)[/tex]
[tex]\Delta y = 8\cdot (2)^{2}-8\cdot (1)^{2}[/tex]
[tex]\Delta y = 24\,m[/tex]
[tex]\Delta t = 2\,s - 1\,s[/tex]
[tex]\Delta t = 1\,s[/tex]
[tex]\vec v_{avg} = \left(\frac{4\,m}{1\,s}\right)\,\hat{i} + \left(\frac{24\,m}{1\,s} \right) \,\hat{j}[/tex]
[tex]\vec {v}_{avg} = 4\,\hat{i} +24\,\hat{j}\,\left[\frac{m}{s} \right][/tex]
SEE ATTACHMENT BELOW - 40 POINTS
Answer: C
Step-by-step explanation:
I got it right
C
Answer:
c vgfgdgfcdgytfchgffydu
please help asap sdjf;lskdjlfksjldfjlskdflsd
Answer:
A = 6.1 units²
Step-by-step explanation:
Δ ABC and Δ A'B'C' are congruent, since the translation only shifts their position , but does not change their dimensions, then
AB = A'B' = 6.1
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 2 and h = 6.1 , then
A = [tex]\frac{1}{2}[/tex] × 2 × 6.1 = 1 × 6.1 = 6.1 units²
What is the value of x in the equation 3x-4y=65, when y equals 4?
Answer:
x = 27
Step-by-step explanation:
3x - 4y = 65
3x = 65 + 4y
Find x, when y = 4
3x = 65 + 4 (4)
3x = 65 + 16
3x = 81
x = 27 [tex][ \ x = \frac{81}{3}\ ][/tex]
.
The diagram shows a right-angled triangle.
11 cm
to
8 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.
Answer:
x ≈ 43.3°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{11}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{8}{11}[/tex] ) ≈ 43.3° ( to 1 dec. place )
What is the explicit formula for this sequence?
2, 10, 50, 250, 1250, ...
O A. an = 2(5)(n-1)
O B. an = 5(2)(n-1)
O C. a, = 2 + (5)"
O D. an = 2(5)"
Answer:
O D. an = 2(5)"
Step-by-step explanation:
Given the expression/sequence below
2, 10, 50, 250, 1250, ...
O D. an = 2(5)"
The explicit formula is C
a0= 2*5^0= 2
a1=2*5^1= 10
a2= 2*5^2= 50
a3=2*5^3= 250
a4=2*5^4= 1250
The number of views on a viral video can be modeled by the function
G(t)=960(2}^t+1
Write an equivalent function of the form G(t)=ab^t.
An equivalent function can be written as [tex]G(t) = 1920 \times 2^t[/tex]
What is equivalent fraction?
Fractions that represent the same amount or portion of a whole, but have different denominators and numerators is called Equivalent fractions.
They are equal in value, but may have different forms.
We can multiply or divide both the numerator and the denominator of a fraction by the same number for find equivalent fractions.
Some examples are 2/4 is equivalent to 1/2 because if you divide both the numerator and the denominator of 2/4 by 2, you get 1/2.
Starting from the given function, we can simplify it as
[tex]G(t) = 960(2^t + 1) \\ G(t) = 960 \times 2^t \times 2^1 \\ G(t) = 1920 \times 2^t[/tex]
We can see that this function is of the form
[tex]G(t) = ab^t[/tex]
where a = 1920 and b = 2.
Therefore, an equivalent function can be written as [tex]G(t) = 1920 \times 2^t[/tex]
Learn more about equivalent fraction here,
https://brainly.com/question/17912
#SPJ1
Please help me please ASAP
Answer:
x = 17
Step-by-step explanation:
(5x-23) + (7x-1) = 180
12x - 24 = 180
12x = 204
x = 17
Answer:
x = 17
Step-by-step explanation:
The 2 given angles are same- side interior angles and sum to 180° , then
7x - 1 + 5x - 23 = 180
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
Please help on number 15 thank you!
in a class 3/5 of the pupils are boys. If there are 24 girls,how many boys are there in the class ?
Answer:
36 boys
Step-by-step explanation:
let x be the number of pupils in the class , then
[tex]\frac{3}{5}[/tex] x + 24 = x ( multiply through by 5 to clear the fraction )
3x + 120 = 5x ( subtract 3x from both sides )
120 = 2x ( divide both sides by 2 )
60 = x
Then
number of boys = [tex]\frac{3}{5}[/tex] × 60 = 3 × 12 = 36
Could someone please help me if you don’t mind?
Answer:
v = lhw
Step-by-step explanation:
[tex]\frac{v}{lh} = w[/tex]
v = lhw
Which expression represents the greatest value?
Answer:
"-2" is the same in all expressions, and it's just plus or minus. so let's ignore the "-2" and look only at the rest
+1 is the greatest then
so -2+1 is the greatest
Math geometry show work Thanks
Problem 1, part (a)
Answer: FalseFor instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.
====================================================
Problem 1, part (b)
Answer: trueThis is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.
====================================================
Problem 2
I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.