Answer:
it's a binomial ............
Free fall on a small airless planet. A rock released from rest to fall on a small airless planet falls y = gt^2 m in t sec, g a constant. Suppose that the rock falls to the bottom of a crevasse 20m below and reaches the bottom in 4 sec. A) Find the value of g. B) Find the average velocity for the fall. C) With what velocity did the rock hit bottom?
If a rock released with an initial velocity = u
If it falls under gravity 'g' for 't' seconds,
Expression to find the distance covered will be,
[tex]y=ut+\frac{1}{2}t^2[/tex]
If the initial velocity is zero expression for the distance covered will be,
[tex]y=\frac{1}{2}gt^2[/tex]
Here, g = Gravitational pull Or acceleration due to gravity
A). If the distance covered 'y' = 20 m
And t = 4 seconds
By substituting these values in the expression,
[tex]20=\frac{1}{2}g(4)^2[/tex]
[tex]20=8g[/tex]
[tex]g=2.5[/tex] m per sec square
B). Average velocity of a free falling body = [tex]\frac{\text{Initial velocity}+\text{Final velocity}}{2}[/tex]
Initial velocity of the object = 0
Final velocity = [tex]g\times t[/tex]
= [tex]2.5\times 4[/tex]
= [tex]10[/tex] meter per sec.
Therefore, average velocity = [tex]\frac{0+10}{2}[/tex]
= [tex]5[/tex] meter per second
C). Since, the rock hits the bottom after [tex]4[/tex] seconds,
Velocity with which the rock will hit the ground [tex]=gt[/tex]
[tex]=10[/tex] m per sec.
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Solve the inequality 4(x+3) less than of equal to 41
Answer:
x= 1,2,3,4,5,6,7,8,9,10 so simpal
150 miles in 6 gallons to the nearest hundredth
Answer:
do you have any photo reference to the actual question at this time?
Divide.
2.463÷104
24,630
0.2463
0.0002463
I don't know.
Answer:
0.023682692307692
Step-by-step explanation:
Above one is correct
Answer:
none of those answers are right the answer is 0.0236826923
Step-by-step explanation:
A pair of shoes that
originally cost $45 is
30% off. What is the
selling price?
Work Shown:
30% of 45 = 0.30*45 = 13.50
You save $13.50 and the sale price is 45 - 13.50 = 31.50 dollars
An alternative is to compute
0.70*45 = 31.50
This works because if you save 30%, then you have to pay the remaining 70%
Margot draws a shape with one pair of parallel lines that are four centimeter apart she then flips the shape across a horizontal line how many pairs of parallel lines are on the flipped shape?
Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.
We can define two parallel lines as two lines that never meet.
And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:
(x, - y)
And all the reflections across horizontal lines will only affect the y-value of the points.
Now, particularly, we have two vertical and parallel lines.
Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.
From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.
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An unknown polynomial is added to the expression -3x³ + 2x – 5 and the resulting sum is 4x³ + 7x² – 3. What is the unknown polynomial?
The first polynomial is:
-3x³ + 2x – 5
Then we add a polynomial p(x) and we get:
-3x³ + 2x – 5 + p(x) = 4x³ + 7x² – 3
We will find that p(x) = 7x³ + 7x² - 2x + 2
Now let's see how we got it:
Notice that the degree of the polynomial does not change, so p(x) is a polynomial of degree 3.
Then we can write:
p(x) = ax³ + bx² + cx + d
Then we have:
-3x³ + 2x – 5 + ( ax³ + bx² + cx + d) = 4x³ + 7x² – 3
(-3 + a)x³ + bx² + (2 + c)x + (-5 + d) = 4x³ + 7x² – 3
Notice that the above inequality should work for every value of x, so the terms with the same exponent must be equal between them:
(-3 + a)x³ = 4x³
bx² = 7x²
(2 + c)x = 0
(-5 + d) = – 3
Now we can remove the variables in all of these equations to get:
(-3 + a) = 4
b = 7
(2 + c) = 0
(-5 + d) = – 3
Now we can solve all of these and find the coefficients of our polynomial p(x).
-3 + a = 4
a = 4 + 3 = 7
a = 7
b = 7
2 + c = 0
c = -2
-5 + d = -3
d = -3 + 5 = 2
d = 2
Then we have:
p(x) = 7x³ + 7x² - 2x + 2
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what are surds? how many types of surds are there?
When we can't simplify a root under variable further or we can't remove the root sign that is called surd.It may be a square root or cube root or n th root .They are especially called irrational numbers.
Ex:-
[tex]\\ \rm\longmapsto \sqrt{9}=3[/tex]Hence its not a surd.
but
.
[tex]\\ \rm\longmapsto \sqrt{3},\sqrt{7}[/tex]Are surds.
There are six types of surds such as :
Simple surdsPure SurdsSimilar SurdsMixed SurdsCompound SurdsBinomial Surds.Part A Which features describe the graph? Select all that apply. A domain: (-3, 4] B. range: (-3, 3] o C. increasing: (-3. -1) D. decreasing: (-1, 4) E positive: (-2, 2) F. negative: (-3.-2). (2, 4] Part B What is the average rate of change over the interval [-2. O for the graph in Part A? average rate of change =
Answer:
C, F
Step-by-step explanation:
Give the slope and the y-intercept of the line with the given equation. Then, graph the linear equation.
y = 3x+5
What is the slope?
A. The slope is
B. The slope is undefined.
Answer:
A
Step-by-step explanation:
The slope is the coefficient of the x term, that is 3
Pls help I am giving brainliest
Answer:
17.3
Step-by-step explanation:
let required number is x
100% of x =7.3
1% of x =7.3/100
1% of x= 0.073
237% of x=0.073*237
237% of x=17.3
Multi step equations
Answer:
Step-by-step explanation:
1) -28r +14=-12r-2
-16r=-16
r=1
~~~~~~~~~~~~~~~~
2) -35x+5=6x-36
-41x=-41
x=1
What is the value of log, 1257
0 3
O 5
o 15
o 25
A logarithm is just the opposite function of exponentiation. The common logarithm is called the natural logarithm and the natural logarithm is called the base e logarithm. The value of log, 1257 is 3. The correct option is A.
What is logarithm?In mathematics, logarithms are defined as the another way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm can be defined as the power to which a number should be raised to obtain some other values.
There are two types of logarithms, they are common and natural logarithm. The common logarithm defines how many times we have to multiply the number 10 to get the required output whereas the natural logarithm shows how many times we have to multiply 'e' to get the required output.
Here the value of log 1257 = 3.099 ≈ 3
Thus the correct option is A.
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20 point question
Suppose u and v are orthogonal vectors with ||u|| =5. ||u||= 1/2 ||v||, find ||u+v||.
Answer:
[tex]5\sqrt{5}[/tex]
Step-by-step explanation:
See attached image.
The vectors u and v are orthogonal, so the angle between them measures [tex]90^\circ[/tex]. [tex]||u||=5[/tex] and [tex]||u||=\frac{1}{2}||v|| \Rightarrow ||v||=10[/tex]
The vector sum is the diagonal shown in the image and its length/magnitude/norm can be found by using the Pythagorean Theorem.
[tex]||u+v||=\sqrt{5^2+10^2}=\sqrt{125}=5\sqrt{5}[/tex]
Answer:
Step-by-step explanation:
[tex]|| \overrightarrow {u}||=5\\\\|| \overrightarrow {u}||=\dfrac{|| \overrightarrow {v}||}{2} \Longrightarrow\ || \overrightarrow {v}||=2*|| \overrightarrow {v}|=10\\\\|| \overrightarrow {u}+\overrightarrow {v}||^2=|| \overrightarrow {u}||^2+|| \overrightarrow {v}||^2+0\ (since\ u\ and\ v\ are\ orthogonal\ vectors \ )\\\\=5^2+10^2=125\\\\|| \overrightarrow {u}+\overrightarrow {v}||=5*\sqrt{5} \\[/tex]
Alex is 1.3 meters tall. His brother, Raul, is 0.6 times as tall as Alex. How tall is Raul?
Answer:
.78
Step-by-step explanation:
1.3 x0.6 is .78. easy peasy
2 5/8 x -2 3/5=
i need this answer to be quick
Answer:
[tex]{ \underline{ \sf{it \: is \: - 6 \frac{33}{40} }}}[/tex]
Step-by-step explanation:
[tex]2 \frac{5}{8} \times ( - 2 \frac{3}{5} ) \\ \\ = \frac{21}{8} \times - \frac{13}{5} \\ \\ = - \frac{273}{40} \\ \\ = - 6 \frac{33}{40} [/tex]
Part F Think about graphing the relationship between the length of the TV screen and the price. What do you predict the graph will look like?
Answer:
The ratios are not equivalent, so the relationship is not proportional. Therefore, the graph will not be a straight line passing through the origin.
Step-by-step explanation:
Since the ratios of the relationship between length of TV screen and price are not proportional, the graph would not be a proportional graph.
What is a Proportional Graph?A proportional graph is a straight line graph that passes through the origin (0, 0).
If a relationship has a proportional ratio, then the graph that represents the relationship would be a proportional graph.
Therefore, since the ratios of the relationship between length of TV screen and price are not proportional, the graph would not be a proportional graph.
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Taxi ride expression
Answer:
Let’s just hail a taxi.
Step-by-step explanation:
What's $10,100 Afghanistan converted into US$
Please answer with how you got your answer
Hi :)
10, 100 Afghani Afghani (currency name) is $1212 USD with the conversion you provided. Today it's like $117.41.
Answer:
112.29 usd
Step-by-step explanation:
1 dollar afgani is 0.011 dollars usd :)
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Can someone give me a simple explanation of how to calculate probability? Thanks!
Step-by-step explanation:
Determine a single event with a single outcome. ...Identify the total number of outcomes that can occur. ...Divide the number of events by the number of possible outcomes. ...Determine each event you will calculate. ...Calculate the probability of each event.pls mark me the brainliest pls
How to do 6x times 1/x
Answer:
6
Step-by-step explanation:
6x * 1/x = 6x/1 * 1/x the x on top cancels the x on bottom so
= 6/1 * 1/1 = 6
The sum of the angle measures of a quadrilateral is 360 degree . Write and solve an equation to find the value of x .
A quadrilateral with interior angles marked as x degrees, 150 degrees, 77 degrees, and 48 degrees.
The equation is
360= .
x=
Answer:
Step-by-step explanation:
The value of the angle x is 85°
The sum of angles of a quadrilateral = 360°
This means that given a quadrilateral with angles, A, B, C, D ;
(A + B + C + D) = 360°
Given the angles of a quadrilateral : (x°, 150°, 77°, 48°)
The value of x will be obtained thus :
(x + 150 + 77 + 48) = 360
150 + 77 + 48 + x = 360
275 + x = 360
x = 360 - 275
x = 85°
Hence, the value of x is 85°
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give in example of pemdas plz!
Answer:
Examples of PEMDAS: When we first learn math, equations only have one operation. We either add, subtract, multiply, or divide. Examples: 2 + 3 = 5 9 - 2 = 7 10 x 3 = 30 81/9 = 9.
Step-by-step explanation:
Answer:
Remember that PEMDAS requires you to solve Multiplication/Division from left to right based on whichever comes first. In this example, when moving from left to right, multiplication comes first so you would first perform 8 x 8 = 64
Hope this helps <3
A shirt and pants have a combined cost of 78 dollars. The shirt costs 15 dollars less then the pants. How much does each item cost
Answer:
The shirt is $31.50 and the pants are $46.50
Step-by-step explanation:
Let x represent the cost of the pants.
If the shirt is 15 dollars less than the pants, its cost can be represented by x - 15.
Create an equation, and solve for x:
(x) + (x - 15) = 78
2x - 15 = 78
2x = 93
x = 46.5
So, the pants are $46.50.
Subtract 15 from this to find the cost of the shirt:
46.50 - 15
= 31.50
The shirt is $31.50 and the pants are $46.50
Write another way to group the factor (3×2)×5 then find the product
Answer:
30
Step-by-step explanation:
Another way to group the factor would be 3(2×5)
2 times 5 is 10 and then 10 times 3 is 30 so therefore, your answer is 30
Please answer ASAP please and thank
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
3 [tex]\frac{1}{2}[/tex] - 2 [tex]\frac{2}{3}[/tex]
[tex]\frac{7}{2}[/tex] - [tex]\frac{8}{3}[/tex] First change the two mixed numbers to improper fractions. Multiply the whole number by the denominator then add the numerator to the answer.
[tex]\frac{21- 16}{6}[/tex] Bring the fractions to the same denominator by finding the lowest common multiple of both denominators
Then the answer becomes [tex]\frac{5}{6}[/tex].
HOPE THIS HELPED
Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,-5) and (8,-8)
Answer:
4.2
Step-by-step explanation:
d=sqrt[(x1-x2)^2+(y1-y2)^2]
d=sqrt[(5-8)^2+(-5+8)^2]
d=sqrt[(-3)^2+(3)^2]
d=sqrt[9+9]
sqrt18=4.24
25x^2-36x+9
with x=2
25x² - 36x +9, when x = 2
(25 × 2)² - (36 × 2) + 9
50² - 72 + 9
2 500 - 72 + 9
using BODMAS
2 500 + 9 - 72
2 509 - 72
= 2 437
Answer:
Step-by-step explanation:
25(2)^2-36(2)+9
25(4)-72+9
100-72+9
28+9
37
Solve the following equation for F. Be sure to take into account whether a letter is capitalized or not.
F /H =M .
Answer:
I don't know of it should be more complicated than that
Aaaaaaaaaaaaaaaaaaaa
(a + 1) × (a + 2) =
Answer:
Ithink the answer is 6 hope it helps please mark as brainliest
Answer:
a^2+3a+2
Step-by-step explanation:
(a + 1) × (a + 2)
a x a = a^2
a x 2 = 2a
1 x a = 1a
1 x 2 = 2
a^2 +2a+1a+2
2a+1a =3a
a^2+3a+2