Step-by-step explanation:
7/12 + 5/6 - 2/9
= 21/36 + 30/36 - 8/36
= (21+30-8)/36
= 43/36 or 1 7/36.
If cos u = 4/5 and tan v = - 12/5 while (3pi)/2 < u < 2pi and pi/2 < v < pi , find : sin(u-v)
Expand sin(u - v) using the angle sum formula for sine:
sin(u - v) = sin(u) cos(v) - cos(u) sin(v)
Recall the Pythagorean identity: for all x,
cos²(x) + sin²(x) = 1
Dividing both sides by cos²(x) gives
1 + tan²(x) = sec²(x)
(since tan(x) = sin(x)/cos(x) and sec(x) = 1/cos(x))
With 3π/2 < u < 2π, we expect sin(u) < 0, and with π/2 < v < π, we expect cos(v) < 0 and sin(v) > 0.
Solve for sin(u) :
sin²(u) = 1 - (4/5)²
sin(u) = - √(1 - 16/25)
sin(u) = - √(9/25)
sin(u) = -3/5
Solve for sec(v) :
sec²(v) = 1 + (-12/5)²
sec(v) = - √(169/25)
sec(v) = -13/5
Take the reciprocal of both sides to solve for cos(v) :
1/sec(v) = 1 / (-13/5)
cos(v) = -5/13
Solve for sin(v) :
sin²(v) = 1 - cos²(v)
sin(v) = √(1 - (-5/13)²)
sin(v) = √(144/169)
sin(v) = 12/13
Now put everything together:
sin(u - v) = (-3/5) (-5/13) - (4/5) (12/13) = -33/65
f(x) = –x2 – 20
Find f(9)
How can you rewrite 16=3+g ?
Answer:
13= g
or
g = 13
Step-by-step explanation:
first we transpose
16-3= g
calculate
13= g
There are 6 circles and 9 triangles. What is the simplest ratio of circles to total shapes?
Answer: 2:5
Step-by-step explanation: The ratio of circles to all of the shapes is 6:15. This simplified is 2:5. Here, we divided by 3 which results in 2 and 5.
The simplest ratio of circles to total shapes is 2/5.
Here,
There are 6 circles and 9 triangles.
We have to find, simplest ratio of circles to total shapes.
What is Ratio?
A ratio indicates how many times one number contains another.
Now,
There are 6 circle.
And, Total number of shapes = 6 + 9
= 15
Hence,
The simplest ratio of circles to total shapes = [tex]\frac{6}{15}[/tex]
= [tex]\frac{2}{5}[/tex]
So, The simplest ratio of circles to total shapes is 2/5.
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7x= -56
Im stumped plz help ;-;
Answer: x= -8
Step-by-step explanation: 7x=-56. The goal is to find just 1x. To do this, you need to divide both sides by 7. So 7x divided by 7 is x, and -56 divided by 7 is -8. So x= -8.
Identify each pair of angles 2 and 6
what's 60 twenty-fives minus 1 twenty-five
written in number from
Answer:
(60 x 25) - 25 = 1475
Step-by-step explanation:
Answer:
1375
Step-by-step explanation:
what is the slope of (-4,-6) (2,-4)
Answer:
m=1/3
Step-by-step explanation:
Which expression is equivalent to 4x -5 ?
A= 3(2x-5)-2(x-5)
B= 3x-2-(3-x)
C= 7x+1-3(x+2)
D= 4(2x-1)-2(2x-1)
Answer:
ive tried working it out and i couldnt seem to get it but my best guess would be C OR B
Step-by-step explanation:
Two students, Zachary and Anthony, line up one behind the other. How many different ways can they stand in line?
As per the given data, there are 2 different ways they can stand in line.
What is line up?When we say "line up," we usually mean that the arrangement is in some sort of order or sequence.
As previously stated, if there are two students, there are two possible ways for them to line up in a sequence. If we consider the order or position they are in, the following arrangements are possible:
Zachary in front, Anthony behindAnthony in front, Zachary behindThere are only two possible arrangements when there are two students: Zachary in front of Anthony or Anthony in front of Zachary.
Thus, they have two options for standing in line.
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Janelle and three of her friends bought four smoothies of equal cost for a total of 3$. If she purchases the same smoothies on another day for herself and nine of her friends, how much money will she spend?
Answer:
$7.5
Step-by-step explanation:
$0.75 for each smoothie
Follow the instructions below.
4
3
Write a
without exponents.
3
4
a. a
II
= 1
Fill in the blank.
4 3
a . a
=a
Answer:
Step-by-step explanation:
a*a*a*a*a*a*a
a^7 when you multiply, you add the power
11.(07.05 LC)
How many solutions does the equation 49 + 8 = 6 + 2 + 4q have? (1 point)
0 Two
None
Infinitely many
C One
Answer:
Infinitely many
Step-by-step explanation:
Answer:
one is the right answer because on the right side6+2 =8 and the left side = 8 but the answer is 8
Which value is the best estimate of 26% of 259?
Answer:
67.34 is 26% of 259
Step-by-step explanation:
.................
The ratio of blue, yellow and red marbles is 11:3:5. There are a total of 323 marbles. How many of each are there?
Answer:
187: 51: 85
Step-by-step explanation:
11+3+5=19
323/19= 17
11*17= 187
3*17= 51
5* 17= 85
g divided by 9 written as an expression
Answer:
g/9 or g÷9
Step-by-step explanation:
expressions dont have equal signs. hope this helps!
Step-by-step explanation:
The required expression is given as:
[tex]g \div 9[/tex]
Si en un grupo de 10 personas se va a repartir refrescos de 10 sabores diferentes, y se sabe que hay uno de fresa y uno de piña ¿cuál es la probabilidad que el primero en ser repartido sea de piña y el segundo de fresa?
Respuesta: 0.011
Explicación paso a paso:
Dado que:
Número de sabor a refresco = 10
Número de sabor a piña = 1
Número de sabor a fresa = 1
P (primero es fresa) = número de sabor a fresa / número total de sabor
P (primero es fresa) = 1/10
P (el segundo es sabor a piña) = número de sabor a piña / número total de sabor
P (segundo sabor a piña) = 1/9
Probabilidades independientes:
P (primero es fresa) * P (segundo sabor a piña)
= (1/10) * (1/9)
= 1/90
= 0.011
which of the following are true statements?
Answer:
I would say c and b
Step-by-step explanation:
I would say this because with out the number it would be that same thing and the same eqaution and formation
I can't seem to figure this out! What is the value of the 129th term in a sequence in which the 17th term has a value of 28 and the 33rd term has a value of 78?
Answer:
378Step-by-step explanation:
The nth term of an Arithmetic sequence is expressed as;
Tn = a + (n-1)d
a is the first term
n is the numebr of terms
d is the common difference
If the 17th term has a value of 28, then
T17 = a + 16d = 28 ........ 1
If the 33rd term has a value of 78 then;
T33 = a+32d = 78 ...... 2
Solve simultaneously;
a + 16d = 28 ........ 1
a+32d = 78 ...... 2
Subtract
16d - 32d = 28-78
16d = 50
d = 50/16
d = 25/8
From 1;
a + 16d = 28
a + 16(25/8) = 28
a + 50 = 28
a = 28 - 50
a = -22
Get the 129th term
T129 = a + 128d
T129 = -22 + 128(25/8)
T129 = -22 +25(16)
T129 = -22+400
T129 = 378
Hence the 129th term is 378
Can someone simplify this for me and the answer I don’t know help quickly!!!
Answer:
9/10
Step-by-step explanation:
The first two terms of an exponential sequence are 18 and 6. What are the next three terms?
Answer:
The next three terms are 54, 162, 486
Step-by-step explanation:
Exponential sequences you multiply to find the next term
6 x 3 = 18 (to find the next term you can multiply the previous term by 3)
18 x 3 = 54
54 x 3 = 162
162 x 3 = 486
Please help me it would mean the world if you helped
Answer:
i think its y=-1x+-1
Step-by-step explanation:
Answer:
y=-x-1
Step-by-step explanation:
I need help!!!!!!What is the average rate of change of g over the interval – 4 < t < 1?
Give an exact number.
Answer:
-0.4.
Step-by-step explanation:
Average rate of change = difference in g(x) / difference in x
= (0 - 2) / (1 - (-4))
= -2/5 or -0.4.
The average rate of change of g over the interval -4 < t < 1 is -0.4
What is rate of change?
'A rate of change is a rate that describes how one quantity changes in relation to another quantity.'
According to the given problem,
Interval = -4 < t < 1
We know,
rate of change = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]
y₂ = 0
y₁ = 2
x₂ = 1
x₁ = -4
Rate of change = [tex]\frac{0-2}{1-(-4)}[/tex]
= [tex]\frac{-2}{5}[/tex]
= - 0.4
Hence, we can conclude, the average rate of change over the given interval is -0.4.
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An airplane leaves an airport at 9:00 p.M. With a heading of 270 and a speed of 610 mph. At 10:00 p.M. The pilot changes the heading to 310. Determine how far the plane is from the airport at 1:00 a.M.
Answer:
2330.51 miles
Step-by-step explanation:
Given that the speed of the airplane = 610 mph.
The airplane leaves an airport at 9:00 P.M. with a heading of 270 degrees and at 10:00 P.M., the pilot changes the heading to 310 degrees.
So, for 1 hour the plane is heading at 270 degrees and for 3 hours, from 10:00 p.m to 1:00 a.m, the plane is heading at 310 degrees as shown in the figure.
As, distance = time x speed, so
The distance covered at 270 degrees, [tex]d_1 = 1\times610=610[/tex] miles.
The distance covered at 310 degrees, [tex]d_2 = 3\times610=1830[/tex] miles.
Total distance covered, d, is the magnitude of the sum of vectors [tex]\vec{d_1}[/tex] and [tex]\vec{d_2}[/tex] as shown in the figure.
The angle between the vectors [tex]\vec{d_1}[/tex] and [tex]\vec{d_2}[/tex], [tex]\theta=310-270=40[/tex] degree.
Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},
[tex]d= \sqrt{|\vec{d_1}|^2+|\vec{d_2}|^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\theta} \\\\\Rightarrow d=\sqrt{610^2+1830^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\(40^{\circ})}[/tex]
[tex]\Rightarrow d=2330.51[/tex] miles
Hence, at 1:00 a.m, the airplane is at a distance of 2330.51 miles from the airport.
What is the percent of increase from 10 to 19?
Answer:
90 % increase
Step-by-step explanation:
To find the percent increase, take the new number minus the original number
19-10 = 9
Divide by the original number
9/10 = .9
Change to a percent
.9 * 100 % = 90 % increase
Answer:
(final - initial / initial ) * 100
19 - 10/10 * 100
9/10 * 100
90 percent
The length of a piece of wood is 2/3 of a yard. If it is cut into 10 equal pieces, how
long will each piece be?
9514 1404 393
Answer:
2.4 inches
Step-by-step explanation:
A yard is 36 inches, so 2/3 yard is (2/3)(36) = 24 inches.
Each piece will be 1/10 of that length, so will be 24/10 = 2.4 inches.
Each piece will be 2.4 inches long.
Please help me. Thank you
Answer:
0.99
Step-by-step explanation:
Brainliest please
What is f(3) in the graph below?*
Answer:
(3, 2)
Step-by-step explanation:
568 + 396 is the same as
+ 400
Answer:
If your asking what plus 400 then it would be 564
Step-by-step explanation:
You had the first 2 numbers then subtract 400
564 is added with 400 to make 568 + 396 same as + 400.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
568 + 396 = x + 400
Solve for x.
568 + 396 = x + 400
Subtract 400 on both sides.
964 - 400 = x
x = 564
Thus,
568 + 396 is the same as 564 + 400.
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2ℓ + 2w for ℓ = 5.7 and w = 6.2
Step-by-step explanation:
2(5.7) + 2(6.2)
11.4 + 12.4
23.8
Answer:
23.8
Step-by-step explanation:
2p + 2w = 2 * 5.7 + 2 * 6.2
= 11.4 + 12.4
= 23.8
