Answer:
tan (θ+x)= -33/56
sin (θ+x)=33/65
Step-by-step explanation:
cosθ= -4/5 , sin x = -12/13
cosθ= -4/5; θ is in the third quadrant=> sinθ=-√(1-cos² θ)
sinθ=- √(1-16/25)=- √(9/25)=-3/5
sinx= -12/13; x is in the fourth quadrant=> cosx=+√(1-sin²x)
cosx=√(1-144/169)= √(25/169)=5/13
tgθ= sinθ/cosθ=(-3/5)/(-4/5)=3/4
tgx= sinx/cosx=(-12/13)/(5/13)= -12/5
tan (θ+x)=(tgθ+tgx)/(1-tgθ*tgx)
tan (θ+x)=(3/4-12/5)/(1+3/4*12/5)=(-33/20)/56/20)= -33/56
sin (θ+x)=sinθcosx+coxθsinx=-3/5 *5/13 +-4/5 * (-12/13)=-15/65+48/65=33/65
30 POINTS FOR THIS ONE
1.
In the equation 0.5x - 8 = 1.5, the decimal coefficient is ___________________.
2.
In the equation 3/4y + 1/2 = 3 1/4, the fractional coefficient is _____________________.
3.
In the equation -2 - 6b = 32, the negative coefficient is ___________________.
4.
In the equation 5x + 9 = 3x, 3x is a like term with _______________________.
Answer:
1. 0.5
2. 3/4
3. -6
4. 5x
Step-by-step explanation:
1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.
The decimal coefficient is therefore 0.5. It is the coefficient of x.
2. The fractional coefficient is 3/4. It is the coefficient of y.
3. The negative coefficient is -6. It is the coefficient of b.
4. A like term is one which contains the same type of terms as another term.
3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.
What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x
Answer:
4x+2= -6x+7
4x+6x=7-2
10x=5
x=1/2
Step-by-step explanation:
Find the coordinate of point X inside segment BE that is 3/4 the
distance from B to E.
Answer:
i really dont know
Step-by-step explanation:
this is confusing
Which symbol correctly compared these two fractions
Answer:
>
Step-by-step explanation:
Put the fractions in decimal
0.25 is greater than 0.167. Therefore, 2/8 is greater than 1/6
You can also use common denominators
Javier is building a model train. He has enough track for a train that is
2.5 meters long. Does Javier have enough track for a train with 15 cars?
Each car will be 16 centimeters long.
Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometres, or feet, or any other measure of length.
Given that, Xavier is building a model train. He has enough track for a train that is 2.5 meters long. We need to find if Javier have enough track for a train with 15 cars or not if each car will be 16 centimetres long
The length of each car is 16 cm
Therefore, length of 15 cars = 16 × 15 = 240 cm
Converting the units,
240 cm = 2.4 m
Since, The train is 2.5 m long, and he has enough track for it.
Hence, Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.
For more references on unit conversion, click;
https://brainly.com/question/19420601
#SPJ5
work out the surface area of the shapes in the attached file
Answer:
Find the area of every shape
12 x 9 = 108. Don't divide because there is two
12 x 14 = 168
14 x 9 = 126
15 x 14 = 210
108 + 168 + 126 + 210 = 612
____________________
2 x pi x radius x height + 2 x radius x radius x height
466.5
Step-by-step explanation:
Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple interest annually. Which option earns higher interest after 3 years and by how much?
Answer:
Option A earns higher interest($84115.58)
the difference in interest between the two option is $197.9
Step-by-step explanation:
In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns
Given data
Principal P= $43,000
Rate r= 6%= 0.06
time t= 3years
n= 4 (applicable for compound interest compounded quarterly)
solving for option A gives her 6% compounded quarterly
the compound interest formula is
[tex]A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3[/tex]
[tex]A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58[/tex]
Interest is [tex]A-P= 51411.58-43000= 8411.58[/tex]=$8411.58
solving for option B which gives her 6% simple interest annually
the simple interest formula is
[tex]A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68[/tex]
Interest is[tex]A-P=51213.68-43000= 8213.68[/tex]= $8213.68
calculating the diference in interest between the two options we have
[tex]8411.58-8213.68= 197.9[/tex]= $197.9
Option A earns higher interest
Help :(((((((((( please
Answer:
the ratio of the circumference of a circle to its diameter
Step-by-step explanation:
15 POINTS & BRAINLIEST MARK!!!!!!
1. Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period
of 10 years.
2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period
of 10 years.
Each answer must include the intermediate steps used to arrive at the answer.
I'm sorry about the confusion, but what is the question you're asking?
I would love to help though!
Can someone please help me! Explain the Error. Find the correct solution.
4w (w - 3)+(-5)(w – 3) = (w - 3)(4w +5)
Answer:
w=3
Step-by-step explanation:
[tex]4w(w-3)+(-5)(w-3)=(w-3)(4w+5)\\4w^{2} -12w-5w+15=4wx^{2} +5w-12w-15\\4wx^{2} -17w+15=4wx^{2} -7w-15\\4wx^2-10w+15=4wx^{2} -15\\4wx^{2} -10w=4wx^{2} -30\\-10w=-30\\w=3[/tex]
What is the measure of the obtuse angle?
Answer:
The measure of and obtuse angle is 180°
Step-by-step explanation:
obtuse angles are more than 90°but less than 180°
Simplify: 8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p
Answer:
7p-3
Step-by-step explanation:
We are given the expression:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p
To simplify, we can combine like terms. Add all the terms with a variable, then add the terms without a variable.
(8p + 9p + 6p + 2p - 6p - 3p - 9p)+ -3
(25p -18p) -3
7p-3
Steps:
Group like terms:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p-3
Add similar elements:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p = 7p
=7p−3
Answer: =7p−3
Please mark brainliest
Hope this helps.
How does the graph of f(x) = (x - 1)2 relate to the basic function f(x) = x??
a.
shift 1 unit to the left
shift 1 unit to the right
C.
d.
shift 1 unit up
shift 1 unit down
b.
Please select the best answer from the choices provided
Answer:
Shift 1 unit to the right, i.,e. option (c).
Step-by-step explanation:
Note: Both functions can not be represented by f(x) and square is missing in basic function.
The given basic function is
[tex]f(x)=x^2[/tex]
The given function is
[tex]g(x)=(x-1)^2[/tex]
So, the given function can be written in the form of basic form as
[tex]g(x)=f(x-1)[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)2+b[/tex] .... (2)
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=-1,b=0[/tex]
Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).
Answer:
It C
Step-by-step explanation:
The diagram below shows a balanced hanger.
Which of the changes would keep the hanger in balance? Select all that apply.
a. Adding two circles on the left and a square on the right
b. Adding 2 triangles to each side
c. Adding two circles on the right and a square on the left
d. Adding a circle on the left and a square on the right
e. Adding a triangle on the left and a square on the right
Answer:
a. b. c.
Step-by-step explanation:
As per picture one square= 2 circles
To keep balance same amount to be added to both sides
a. Adding two circles on the left and a square on the right
yesb. Adding 2 triangles to each side
yesc. Adding two circles on the right and a square on the left
yesd. Adding a circle on the left and a square on the right
noe. Adding a triangle on the left and a square on the right
noHI I REALLY NEED HELP ON THIS IT WOULD BE NICE IF I COULD GET SOME HELP AND THANK YOU
Answer:
The answer is D.
Step-by-step explanation:
The first step would be to multiply 3x^2 and x+2 which gives us D after distributed.
PLEASE PLEASE PLEASE HELP
Step-by-step explanation:
I rectangle measures⅛(width)by 1/5(length). You have been asked to shade whose area is 3/5(w
length)by ⅞(width)
1)width=⅞÷1/8=7rectangles
2)length=3 /5÷1/5=3rectangles
thus shade 7rectangles along the width(sideways) and 3 rectangles along the length(downwards)
Please answer right, I've been stuck on this test for an hour.
Answer:
D
Step-by-step explanation:
f(x) has a horizontal asymptote of -4 while g(x) has horizontal asymptote of zero, in both functions, y is closer to infinity as x is closer to negative infinity,
A and B are definitely incorrect
while x gets closer to infinity, in f(x) y gets closer to -4, while in g(x) y gets closer to 0, thus they have a different end behavior as x approaches infinity
So, C is wrong, since it says that they have the same end behavior as x approaches infinity
Thus, D is correct
When adding to integers with different signs, how do you find the sign?
Answer:
the largest number would be the sign that that number has
Step-by-step explanation:
HELP PLEASE!
Which expression is equivalent to 2m2-m2(7-m)+6m2?
A.m2-m
B.-m3+13m2
C.-m3+m2
D. m3+m2
Answer:
D. m³+m²
Step-by-step explanation:
If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:
2m² -7m²+m³+6m²
m²+ m³
Answer:
other guy is right
Step-by-step explanation:
edg. 2020
If f(x) and g(x) are inverse functions of each other, what is the graph of f(g(x))?
Answer:
y = x
Step-by-step explanation:
The graph of f(g(x)) is the straight line y = x.
Pleaseee helppp
Which of the following uses a variable to represent a person, place, or thing
that is unknown?
A. a C-sharp on the piano
B. apartment 12A
C. a B+ grade
D. Mr. X
Answer:
D. Mr. X
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
All of them could represent something or someone, but Mr. X is the closest because X is usually used as a variable.
PLEASE HELPPPPPPPPPPPPPP!!!!!!!
ANSWER ALL PLS NOW I NEED THIS ANSWERED
1. 6^2
2. -5^4
3. 3^3
4. -4^3
5. a^3
6. 1/2^6
7. Base is -12 expanded is -12x-12 exponent is 2 standard form is 144
8. Base is 1/2 and expanded is 1/2x1/2x1/2 exponent is 3 standard form is 1/8
9. Base is -9 expanded is -9x-9x-9 exponent is 3 and standard form is -729
10. 8x8x8x8
11. -3x-3
12. 8x8
13. -7x-7x-7x-7x-7
14. 7x7x7
15. 3/4x3/4x3/4x3/4x3/4
1) [tex]6^{2}[/tex]
2) [tex]-5^{4}[/tex]
3) [tex]3^{3}[/tex]
4)[tex]-4^{3}[/tex]
5)[tex]a^{3}[/tex]
6)[tex]2^{6}[/tex]
7) Base= -12 Exponent=2 Expanded= (-12)(-12) Standard Form= -144
8) Base= [tex]\frac{1}{2}[/tex] Exponent= 3 Expanded= ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) Standard Form = [tex]\frac{1}{8}[/tex]
9) Base= -9 Exponent= 3 Expanded= (-9)(-9)(-9) Standard Form= -729
10) (8)(8)(8)(8)
11) (-3)(-3)
12) (8)8)
13)(-7)(-7)(-7)(-7)(-7)
14) (7)(7)(7)
15) ([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])
Help Idk the way to do it
Answer:
x=3
Step-by-step explanation:
If the triangles are congruent
13 = 4x+1
subtract 1 from each side
13-1 = 4x+1-1
12=4x
Divide by 4
12/4 = 4x/4
3=x
Answer:
3
Step-by-step explanation:
If the two triangles are congruent then:
13=4x+1
13-1=4x+1-1
12=4x
x=3
Hope this helps!
Which inequality will have a shaded area below the boundary line
Answer:
D.
Step-by-step explanation:
If you calculate the rest of the equations, they all result in y being more than (or equal to) the rest of the inequalities. You are looking for an inequality where y is LESS than the other stuff.
Hope this [kinda] helps!
I’m stuck between two answers and wanted to know what you guys think is right?
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is y = mx + b
When we count rise over run, we get 1/1, or just 1. Also, the line is rising from left to right, so it is a positive slope.
y = x + b (you don't have to put 1x)
The line intersects the y-axis at 3
y = x + 3
I hope this helps :))
Answer:
y= -x+3
Step-by-step explanation:
looking at the graph, you can see that the equation is a negative, so the slope will be negative. On the Y-axis, the line goes through "3" making the y-intercept. The equation would be y=-3x+3, but you answer only give you y= -x+3
which answer justifies why 10 1/3= 3^10
Answer:
they are not equal
Step-by-step explanation:
10 1/3 = 10.33333
3^10 =59049
10.333 does NOT equal 59049
Answer:
Brainliest here!
Step-by-step explanation:
10 1/3 = 10.33333 3333333...
3^10 = 59049
10.333 < 59049
not equal to
Find the ninth term of the geometric sequence a4= -135,r=-3
Answer:
The nth term of the geometric sequence is is 32805
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]
Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio
We are given the fourth term of this sequence
[tex]a_4 = -135[/tex]
The common ratio is
[tex]r = -3[/tex]
Once we find the 1st term then we can find any other term.
[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]
So the ninth term of this geometric sequence is
[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]
Therefore, the nth term of the geometric sequence is is 32805
Simplify completely. (w15/w5)4
Answer:
w^40
Step-by-step explanation:
(w^15/w^5)^4
Simplify inside the parentheses
a^b / a^c = a^(b-c)
(w^(15-5)) ^4
(w^10) ^4
We know a^b^c = a^(b*c
w^(10*4)
w^40
Answer:
w^40
Step-by-step explanation:
(w ^15/w^5)^4
w^15/w^5 = w^10 = (w^10)^4
Refine: w^40
Express the ratio of A's to N's in the word BANANA, in simplest form.
A. 2:3
B. 3:2
C. 1:2
D. 2:1
Is it B.?
Answer:
There are 3 A's and 2 N's so the answer is B.