Answer:
Option B and D
Step-by-step explanation:
2^5/6^5
2x2x2x2x2/6x6x6x6x6
1/3^5 [after canceling]
3^-5
Also
2^5x6^-5
1. The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter. Find or approximate the time when the object hits the ground. Explain your method.
2.The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
From what height is the object dropped? Explain how you know.
Answer:
Step-by-step explanation:
Let's FOIL this out and get it into standard form. That gives us:
[tex]h(t)=-4.9t^2+490[/tex] For #1, then:
The height of something when it is on the ground is 0; that means that the h(t) is 0. This allows us to factor the quadratic and solve for t:
[tex]-4.9t^2=-490[/tex] and divide both sides by 4.9 to get
[tex]t^2=100[/tex] so
t = 10. Notice that one of the factors for that quadratic is 10 - t. That factor represents the time it takes to hit the ground. So you might ask why, then, we FOILed this out in the first place if the answer was ight in front of our noses. The reason is becase of #2 that is asking us what the initial height of the object was. That is found in the standard form...in the constant in particular. The initial height is 490 m. That's how you know (because the constant represents the height from which an object is dropped in either free fall, which this is, or in parabolic motion).
The equation SA = 6s can be used to calculate the surface area, SA, of a cube with side length S. What is the
surface area, in square meters, of a cube with a side length of 0.5 meter?
9th one pls fast as soon as possible
Answer
Value of a3³+b³-3ab = -1
Explanation
Given a+b=-1----(1)
On cubeing both sides of equation (1), we get
(a+b)³ = (-1)³
Call 98%
we know the algebraic identity:
(x+y)³ = x³+y³ + 3xy(x+y)
=> a³ + b³ +3ab(a+b)= -1
=> a³ + b³ +3ab(-1)=-1
/* from (1)*/
=> a³ + b³-3ab = -1
Therefore,
Value of a³+b³-3ab = -1
Please give me brainliest (click on the crown) Thank you :)
What is 1/6 divided by 1/2/3 in simplest form
Answer:
1
Step-by-step explanation:
Given :
[tex]\frac{1}{6}[/tex] divided by [tex]\frac{1/2}{3}[/tex]
Now, it can be solving as:
[tex]\frac{1/6}{\frac{\frac{1}{2} }{3} } \\=\frac{\frac{1}{6} }{\frac{1}{6} } \\=1[/tex]
Simplest form of given equation is 1
Write the equation of the line that passes through the points (0, 3) and (2. 6)
Answer:
Y=3/2X + 3
Step-by-step explanation:
Y= mX + b
b is the y intercept or the Y number for when the point is in place o for X
(0, 3) is the Y intersect so b is 3
this is shown on the diagram I drew below
m is the slope of the line and can be calculated
m = change in Y/ Change in X
Our change in Y is 6-3
And out change is X is 2-0
So
m = 3/2
This is shown on the image below
Y=3/2X + 3
what is the slope of the line with x intercept of 3 and y intercept of 36
Answer:
you got it keep working
Step-by-step explanation:
A rectangle has vertices E(4,8), F(2,8), G(2,-2) and H(-4,-2). The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,5). Which algebraic reprensentation represents this dilation
Note: The image of G after the dilation must be G'(5,-5) instead of G'(5,5).
Given:
The vertices of a rectangle are E(4,8), F(2,8), G(2,-2) and H(-4,-2).
The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,-5).
To find:
The algebraic representation that represents this dilation.
Solution:
If a figure is dilated by factor k with origin as the center of dilation, then the dilation is defined as:
[tex](x,y)\to (kx,ky)[/tex] ...(i)
Let the given rectangle is dilated by factor k with origin as the center of dilation. Then,
[tex]G(2,-2)\to G'(k(2),k(-2))[/tex]
[tex]G(2,-2)\to G'(2k,-2k)[/tex]
The image of G after dilation is G'(5,-5). So,
[tex](2k,-2k)=(5,-5)[/tex]
On comparing both sides, we get
[tex]2k=5[/tex]
[tex]k=\dfrac{5}{2}[/tex]
So, the scale factor is [tex]k=\dfrac{5}{2}[/tex].
Substituting [tex]k=\dfrac{5}{2}[/tex] in (i), we get
[tex](x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)[/tex]
Therefore, the required algebraic representation to represents this dilation is [tex](x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)[/tex].
Noah buys 3 packages of pens each package has 4 blue pens and 2 black pens which equation can be used to find p the total number of pins
A. 3 x 4 x 2 = p
B. 3+4+2 = p
C. 3x (4+2)= p
D. 3+ (4x2)=p
Find the surface area
ILL MARK BRAINLEST
Answer: 140 square inches OR 140 inches^2
Step-by-step explanation:
To start, you can create a net of the shape. Or, you can just use the numbers you are given. Find the area of the triangles, and then add the area of the base.
Base: 8*7 = 56
Triangles: [TIP: DON’T DIVIDE BY 2! IT’S A WASTE OF TIME! JUST MULTPLY BY TWO TO GET THE VALUE OF THE FOUR TRIANGLES!]
Triangles:
(6*7)*2=x
42*2=84
Then, add the two area values together.
84+56= 140
Add the units (ONLY IN SQUARE INCHES, BECAUSE WE ARE NOT FINDING THE AREA!)
What is the point used to write the equation y-2=4(x+5) in point slope form?
Answer: y−26=4(x−1)
Step-by-step explanation:
write an inequality that represents the real-world problem. then select all that apply
Answer:
where is the problem
Step-by-step explanation:
What is three and seventeen-thousandths written in standard form?
Answer:
Step-by-step explanation:
That would be 3.017: three and seventeen thousandths
Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal.
Answer:
The slope of line k is - 4 .
Step-by-step explanation:
The slope of given line p is 1/4
Let the slope of line k which is perpendicular to is m.
When the two line are perpendicular to each other, the product of the slopes is always negative 1.
So, the slope of line k is given by
[tex]m=- \frac{1}{\frac{1}{4}}\\\\m = - 4[/tex]
A $350 suit is marked down by 25%. What is the sale price of the suit after the markdown?
Answer:
262.50
Step-by-step explanation:
350 x .25 (25 %)=87.50
350-87.50=262.50
or
350x.75=262.50
determine whether the given lines are parallel or not right with the reason
Answer:
[tex]AB[/tex] is parallel to [tex]CD[/tex] ([tex]AB ||CD[/tex])
Step-by-step explanation:
In a set of parallel lines cut by the traversal, [tex]\angle AHG[/tex] and [tex]\angle DGH[/tex] are alternate interior angles. In a set of parallel lines cut by a traversal, alternate interior angles are always equal. Therefore, since [tex]\angle AHG=\angle DGH=115^{\circ}[/tex] (they are equal), the lines AB and CD must be parallel.
*A set of parallel lines proves that alternate interior angles are always equal, but the converse is also true in that equal alternate interior angles proves a set of parallel lines. This is because if you changed the angle measure of either of the angles, the relative slope of the lines must change and they would no longer be parallel.
after reading the directions to paint,on the paint drum, the information indicated two coats of paints is required when using the 5 liter paint and one coat with the 20 liter drum. With both paints 1 litre of paint covers 9 meter squared.
There are 28 rooms to be painted.Show with calculations which will be cheaper paint to buy
Can someone help me which expression is equal to 16
Answer:
D.(4^1/2)^4
hope this helps
have a good day :)
Step-by-step explanation:
Which scenario could be represented by the algebraic expression n minus 13?
what is tangent (260) rounded to the nearest hundredth
Answer:
tan 260 = 5.670
Step-by-step explanation:
What is tangent (260) rounded to the nearest hundredth
Given data
θ=260
We want to find the value of
tan θ
Hence, from table
tan 260= 5.670
Help plzzzz !!!!!!!!!
What is the volume of a sphere with a radius of 30.5 cm
5p + 2 = 3p - 8 please help
Answer:
p=-5
Step-by-step explanation:
5p-3p=-2-8
2p=-10
p=-5
Pls help I have to find the area
Answer:
28 square units
Step-by-step explanation:
The area of a rectangle is A = l x w.
The length of this rectangle is 7 square units.
The width is 4 square units.
7 x 4 = 28 square units
the graph of the function f(x)=ax^2+bx+c is given below could the factor of f(x) be ( x + 2) (x - 3)?
Step-by-step explanation:
everything can be found in the picture
The graph of the function f(x)=ax²+bx+c could have the factor of f(x) be ( x + 2) (x - 3)
What is a function?A relation is a function if it has only One y-value for each x-value.
We can set two functions y₁=x+2 and y₂=x-3
Let us draw these two functions on the graph
We observe that the function f(x)=ax²+bx+c intersects y₁ and y₂.
y₁ intersects x axis at (-2, 0)
y₁ intersects y axis at (0, 2)
y₂ intersects x axis at (3, 0)
y₂ intersects y axis at (0, -3)
Hence, the graph of the function f(x)=ax²+bx+c could have the factor of f(x) be ( x + 2) (x - 3)
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tìm tất cả các hàm số f: Z-->Z thỏa:
f( f(x)+f(y) ) = x+y+1, với mọi x,y thuộc Z
Answer:
hello
Step-by-step explanation:
Please only correct answers only I need to past this
Answer:
Multiplication properly of equality
Glven the following diagram, IfmXCOF = 150°, then mZBOC =
ADIS
B
D
Answer:
∠ BOC = 30°
Step-by-step explanation:
Given ∠ COF = 150°
∠ BOC + ∠ COF = 180° ( BF is a straight angle ) , that is
∠ BOC + 150° = 180° ( subtract 150° from both sides )
∠ BOC = 30°
Warm-Up
Construct a perpendicular bisector to PQ
by following these steps.
1. Move the compass center to P and
draw a long arc that intersects PQ.
Then move the compass to Q and
draw an arc that intersects the first
arc in two places.
Note that the perpendicular bisector to line PQ is constructed and attached accordingly. Here is how to do it.
Note that the first stage is to draw a line PQ. But this has already been done.
Next is to place the compass on P as shown in the image above. If you allow you compass (locked at the same degree) to rotate about point P, you will get a circle. However, that is not the objective.
If you also place your compass on point Q, locked to the same degree as when it was on P, and take a rotation around point Q, you will also get a circle.
At some point, you will notice that both circles intersect at two point, which we can call AB₁ and AB₂.
Now you are done with the compass. Take up your ruler, and place it such that it meet both AB₁ and AB₂ but allowing you space to mark a line connecting both points.
Next, using your live or online pencil tool, draw the line from AB₁ to AB₂. Now you have the Perpendicular bisector which you can call AB₁₂.
Note that a perpendicular bisector is a line or plane that intersects a line segment at its midpoint, forming a right angle and dividing the segment into two equal parts.
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I will give brainliest to whoever explains answer thouroughly.
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
Answer:
67The multiples of 2 between 1 and 15 are
2, 4, 6, 8, 10, 12, 14
The multiples of 5 are
5, 10, 15
So, there are seven multiples of 2 and three multiples of 5.
The probability of getting a multiple of 2 is
P=\frac{7}{15}= 0.47 (or \ 47\%)P=
15
7
=0.47(or 47%)
The probability of getting a multiple of 5 is
P=\frac{3}{15}=0.2 (or \ 20\%)P=
15
3
=0.2(or 20%)
Now, the probability of getting a multiple of 2 or 5 is
P=0.47+0.20=0.67 (or \ 67\%)P=0.47+0.20=0.67(or 67%)
Therefore, the answer is 67%.
Remember that the probability of one event happening OR another event happening is the sum of the probabilities of those events.
Step-by-step explanation:
hope it helps
The cost of 5 kg of mangoes is rupees 147. At what rate per kg are the mangoes
being sold.
Step-by-step explanation:
the cost of 1 kg mangoes = 147/ 5
= Rs. 29.40
mark me as brainliest
Answer:
cost of 1 kg mango = rupees 29.4
Step-by-step explanation:
cost of 5 kg mangoes =rupees 147
cost of 1 kg mango =?
Now, lets find cost of 1 kg mangoes
CP od 1 kg mangoes = cost of 5 kg mangoes/5 kg
=rupees 147/5
=rupees 29.4