Answer:
Hypothesis- scientific prediction that can be tested or verified
Axioms- statement which is assumed to be true
Step-by-step explanation:
The hanger image below represents a balanced equation.
27
V
Find the value of v that makes the equation true.
U =
I need the answer
Answer:
2x =3
The hanger image given in the figure represents balanced equation.
Then we have to write an equation to represent the image.
In balanced form left side = right side
x + x = 1 + 1 + 1
2x = 3
The value v is 9.
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that is a structure showing a balanced hanger we need to find the value,
So we can say since the hanger is balanced therefore the weight both sides will be equal,
Therefore,
v + v + v = 27
3v = 27
v = 27
Hence the value v is 9.
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9/12 as an equivelant fraction
Answer:
3/4
Step-by-step explanation:
9/12
Divide the top and bottom by 3
9/3 = 3
12/3 = 4
The fraction becomes 3/4
Dave throws sweets upwards at a speed of 8ms^-1 from a first floor window to his sister Carol who is standing at a second floor window 3m directly above Dave. Carol misses catching the sweet as it passes her hand on the way up, but catches it on the way down. Calculate the time it takes for Carol to catch the sweet after Dave has thrown it.
It would take [tex]1 second[/tex] for Carol to catch the sweet after Dave threw it.
Let
[tex]h=\text{maximum height}\\y=\text{distance from maximum height to Carol}\\t_h=\text{time taken to reach maximum height}\\t_y=\text{time taken to fall from maximum height to Carol}[/tex]
we want to calculate the value [tex]t_h+t_y[/tex]
First, we have to calculate [tex]t_h[/tex] using the formula
[tex]v=u+at[/tex]
using [tex]v=0[/tex], [tex]u=8[/tex], [tex]a=-10[/tex] (the sweets are decelerating due to gravity!)
[tex]0=8-(10)t_h\\10t_h=8\\t_h=\frac{8}{10}=0.8seconds[/tex]
To calculate [tex]t_y[/tex], first calculate [tex]h[/tex], then [tex]y[/tex]. Using the formula
[tex]h=ut+\frac{1}{2}at^2[/tex]
and the values [tex]u=8[/tex], [tex]t=t_h=0.8[/tex], [tex]a=-10[/tex] (again, the sweets are decelerating to get to maximum height)
[tex]h=(8)(0.8)+\frac{1}{2}(-10)(0.8)^2\\\\=6.4-3.2\\=3.2m[/tex]
since, Carol is standing [tex]3m[/tex] above Dave, we have the relationship
[tex]h=y+3[/tex]
so that
[tex]y=h-3\\=3.2-3\\=0.2m[/tex]
we can now calculate [tex]t_y[/tex];
[tex]y=ut_y+\frac{1}{2}gt_y^2[/tex]
taking [tex]y=0.2[/tex], [tex]u=0[/tex], [tex]g=10[/tex] (the sweets are falling, so they are now accelerating)
[tex]0.2=(0)t_y+\frac{1}{2}(10)t_y^2\\\\0.2=5t_y^2\\t_y^2=0.04\\\implies t_y=0.2seconds[/tex]
So it would take
[tex]t_h+t_y=0.8+0.2=1.0seconds[/tex]
for Carol to catch the sweet after Dave threw it from the first floor.
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13- pls help with this pre-algebra problem is urgent
Answer:
What else is in the equation?
Step-by-step explanation:
Also, i think the - should be right here>-13 instead of it being here 13-<
A cylindrical water tank has a diameter of 4 m and a height of 3 m, while a water tank shaped like a rectangular prism has a length of 7 m, a width of 2 meters and a height of 2 meters. Which of the two tanks can hold more water? By how many cubic meters
Which of the following is a perfect square trinomial?
A. x²-6x+9
B. 4x²-20x-25
C. 4x²+20xy+9y2
D. 9a²-6a²bc+a²b²c²
pls I need a step by step on how to solve
2+4=6−2
Answer:
4
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
x
(— - 6) - 2 = 0
4
6 6 • 4
6 = — = —————
1 4
x - (6 • 4) x - 24
——————————— = ——————
4 4
(x - 24)
———————— - 2 = 0
4
2 2 • 4
2 = — = —————
1 4
(x-24) - (2 • 4) x - 32
———————————————— = ——————
4 4
x - 32
—————— = 0
4
x-32
———— • 4 = 0 • 4
4
x-32
There are 190 people on the beach. 110 are wearing sunglasses, 70 are wearing bathing suits, and 95 are wearing a hat. Everyone is wearing at least one of these items. 30 are wearing both bathing suits and sunglasses. 25 are wearing both bathing suits and a hat. 40 are wearing both sunglasses and a hat. How many people are wearing all three items
190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x
Simplifying, we get that x=10x=10.
its 10
Which quadratic function shows a y-intercept of 4 and a maximum value of 5
Answer:
The 4th graph
Step-by-step explanation:
To have a maximum value, your parabola would have to open downwards. So the first 2 are wrong. Since your y-intercept is positive 4, your graph would have to touch the y axis at 4. The 3rd graph is wrong since it touches the y-axis at a negative point. The correct answer would be the 4th answer choice.
A 135-page notebook has 33 writing lines on each page. What is the total number of writing lines in the entire notebook
Answer:
4455
Step-by-step explanation:
135 pages x 33 lines a page = 4455 lines.
draw the graph of y=2x+3 on the grid
If x = − 6, which number line shows the value of |x|?
Answer:
I would say the one that has the blue dot. bc, the absolute value of -6 is 6.
Answer:
The second one -6[------------]0 with 6 on top.
Step-by-step explanation:
the first term of an arithmetic sequence is a b and the second term is a c. What is the explicit formula to find the nth term of the sequence?
Step-by-step explanation:
every new term is created by adding a constant (I call here x) to the previous term.
a1 = b
a2 = c = a1 + x = b + x
a3 = a2 + x = a1 + 2x = b + 2x
so, we see
an = a1 + (n-1)x = b + (n-1)x
from a1 and a2 we know
c = b + x
x = c - b
so, ultimately we have
an = b + (n-1)(c-b)
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term of an arithmetic sequence is b and the second term is c.
a₁ = b
a₂ = c
Then the common difference is given as,
d = a₂ - a₁
d = c - b
Then the explicit formula to find the nth term of the sequence will be given as,
aₙ = b + (n - 1) × (c - b)
aₙ = b + cn - c - nb + b
aₙ = cn - nb + 2b - c
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
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Quadrilateral ABCD is rotated 90 dockwise and the result is quadrilateral PQRS.
Which of the following sides on Quadrilateral PQRS is congruent to side AB on Quadrilateral ABCD-
А side PQ
B
side QR
С
side RS
D
side SP
help me pls I need help
Answer:
parallel lines are two lines drawn next to each other without a intersection
find the solution to the system of equations
-9x+8y=-26
-9x-6y=-12
first answer gets brainliest! :)
Answer: y=-1 and x=2
Step-by-step explanation:
-9x+8y=-26
-9x-6y=-12
Subtract
14y = -14
Divide by 14
Y=-1
Substitute y=-1 into the equation
-9x-6(-1)=-12
-9x+6=-12
Subtract 6
-9x=-18
Divide by -9
X=2
What is the measure of angle t
Answer:
77° is the answer
Step-by-step explanation:
hope it helps;)
The measure of angle [T] will be ∠T = 139°.
What is triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.
In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Area: ½ × base × heightPerimeter: sum of side lengths of the triangleNumber of vertices: 3Number of edges: 3Internal angle: 60° (for equilateral)Sum of interior angles: 180°Right angle: 90 degreesGiven is a triangle TSU.
The sum of the angles of a triangle is 180 degrees. So, we can write -
(21x + 13) + 4x + (3x - 1) = 180
21x + 4x + 3x + 13 - 1 = 180
28x + 12 = 180
28x = 168
x = 168/28
x = 6
So -
∠T = 21x + 13 = 21 x 6 + 13 = 126 + 13 = 139
∠T = 139°
Therefore, the measure of angle [T] will be ∠T = 139°.
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HELP PLEASE
Acellus
Solve this system of equations by
using the elimination method.
Answer:
(2, 2)Step-by-step explanation:
Add up the equations, it will eliminate x as variable:
3x + 6y - 3x + 4y = 18 + 210y = 20y = 2Find the value of x:
3x + 6*2 = 183x + 12 = 183x = 6x = 2Given : -
3x + 6y = 18 ... (1)-3x + 4y = 2 ... (2)To find : -
Solution x and y?Solution : -
3x + 6y = 18
-3x + 4y = 2 +
10y = 20
y = 20/10 = 2[tex] \: [/tex]
3x + 6y = 18
3x + 6(2) = 18
3x + 12 = 18
3x = 18 - 12
3x = 6
x = 6/3 = 2[tex] \: [/tex]
(2 , 2)How would you write 12 as a Roman numeral?
Answer:
ⅠⅠⅩ
Step-by-step explanation:
ok
Answer:
Step-by-step explanation:
Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.
Hi guys can you please help me??
THANK YOU SO MUCH
Answer: it’s 320cm^2
Step-by-step explanation:
Find two integers whose sum is -12 and product is 35
Answer:
-5;-7
Step-by-step explanation:
Start with the product. 35 is either 35x1, 7x5, or the product of their opposites. 35 and 1 doesn't work for the sum, neither does 7 and 5. Let's go negative. -35 and -1 gives -36, so it has to be -7 and -5, which is indeed, correct.
Translate sum of 4 and the quotient of n and 9
Step-by-step explanation:
The quotient of n and 9:
n / 9Sum of 4 and the quotient:
4 + (n/9)How many times does 9 go into 695 with partial quotient divison
Add: 8x2 + 7xy – 6y2 , 4x2 – 3xy + 2y2 and -4x2 + xy – y2
The given terms in the question can be added by collecting like terms. So that the addition is:
8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]
The addition of terms involve adding like terms so as to simplify the final expression.
Thus considering the terms in the given question, the addition would give:
(8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex]) + (4
open the brackets and collect like terms to have;
8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex] + 4
8[tex]x^{2}[/tex] + 4
8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]
Therefore on adding the given terms, the expression derived as answer is:
8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]
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HELLO PLEASE GIVE ME THE RIGHT ANSWER ASAP THANK YOU !
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\textsf{Given expression;}\\[/tex]
[tex] \rm{23 = \frac{7}{9}(6x - 36) + 9 } \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256)}{9} + 9 \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256 + 81)}{9} \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 175)}{9} \\ [/tex]
[tex] \rm{\longmapsto} \: \frac{23}{1} = \frac{(42x - 175)}{9} \\ [/tex]
[tex]\textsf{By doing cross multiplication, we get}\\[/tex]
[tex] \rm{\longmapsto}23(9) = 1(42x - 175) \\ [/tex]
[tex] \rm{\longmapsto}207 =42x - 175\\ [/tex]
[tex]\rm{\longmapsto} \: 42x = - 175 - 207 \\ [/tex]
[tex]\rm{\longmapsto} \: 42x = - 379 \\ [/tex]
[tex]\rm \therefore \: x = - \frac{375}{42} \\ [/tex]
[tex]\textsf{Hence, the value of x will be -375/42 respectively.}\\[/tex]
[tex]\textbf{Read more:}[/tex]
[tex]\textsf{Similar Questions}[/tex]
Solve the expression and find the value of x. [tex] \frac{x…
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Although mercury is a metal, it is a liquid at room temperature. Mercury melts at about "-39°C." If the temperature of a block of mercury starts at "-54°C." and increases by 22°C, does the mercury melt?
Explain your answer! Please make sure it’s valid.
Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia, while Trina finished the race 3 seconds faster than Kate. If their combined time was 2 minutes and 39 seconds, find each girl’s individual time.
Answer:
Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds
Step-by-step explanation:
A = K + 6
T = K - 3
K + A + T = 2 min 39 sec or 159 sec
K + (K + 6) + (K - 3) = 159sec
3K + 3 = 159sec
3K = 156sec
K = 52 sec
A = 52 + 6 = 58 sec
T = 52 - 3 = 49 sec
PLS HELP ASAP ITS AN EMERGENCY ITS DUE IN A FEW HOURS THANKS
Answer: -8
Step-by-step explanation:
-8+22=14
Has to be less than 14 so the value has to be less than -8
yefgfsugsuifdsgsdhgsfjhdgjdhgskhb
Write the prime factorization of 315.
315 =
(TRY TO ANSWER THIS WHILE UR AT IT PLS?
Answer:
315 = 3^2 × 5^1 × 7^1
Step-by-step explanation:
Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?
Answer:
AB = 11
Step-by-step explanation:
AB = x
BC = x - 4
AC = 6 + BC Substitute BC
AC = 6 + (x - 4)
AC = 2 + x
The perimeter of the triangle is 31
Perimeter = AB + BC + AC perimeter is the sum of the sides
31 = (x )+ (x - 4 ) + (2 + x)
31 = 3x - 2
33 = 3x
11 = x
AB = x = 11 inches
Check:
AB = x ; AB = 11
BC = x - 4; BC = 11 - 4; BC = 7
AC = 2 + x; AC = 2 + 11; AC = 13
P = 11 + 7 + 13
= 31