y = Acos(Bx) + D;
D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5
WE get y = 2cos(16/5x) + 4
If the x value 13, what is the radian measure to the nearest thousandth degree. .
Answer:
Step-by-step explanation:
To convert degrees to radians: [tex]n(\frac{\pi }{180})[/tex] where n is degrees.
For n = 13
[tex]13(\frac{\pi}{180} ) = 0.229 radians[/tex] when rounded to the nearest thousandth
Approximate by finding the product of (2x10^58)x(2x10^-23)
The product of the expressions 2 × 10⁵⁸ and 2 × 10⁻²³ in the scientific notation will be 2 × 10³⁵.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expressions are given below.
2 × 10⁵⁸ and 2 × 10⁻²³
Then the product of the expressions will be
(2 × 10⁵⁸) × (2 × 10⁻²³) = 2 × 10⁵⁸⁻²³
(2 × 10⁵⁸) × (2 × 10⁻²³) = 2 × 10³⁵
More about the multiplication link is given below.
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why do we buy pre bc i dont want it
Pa help po salamat,
Answer:
- a frequency table is how much a number occurs, for example there are 4 10's in data list given so the frequency is 4
- the prompt asked for a width of 6 so 1 - 6, there was no numbers of 1, 2, 3, 4, 5, 6 in the list making the frequency 0
Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral triangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
_____
Additional comment
It is impossible to specify an equilateral triangle using rational coordinates.
Please help with this question.
Answer: 3
Step-by-step explanation:
There are 22 fourth-grade students and 26 fifth-grade students who became
cheerleaders. Each cheerleading group will have 8 members. Which equation
can be used to find out how many groups can be made?
(22 + 26) / 8 = x
(/ this means division)
Help me on this!! Asap!!
Answer:
D. Fundamental Principle of CountingD. 32B. 12 waysD. 24B. 18Step-by-step explanation:
Q1
The Fundamental Principle of Counting states that we can find the total number of ways that two or more separate tasks can happen by multiplying the number of ways each task can happen separately.Q2
No. of ways = 2⁵ = 32Q3
No. of ways = 4 x 3 = 12 waysQ4
⁴P₃ = 4! / 1! = 4 x 3 x 2 = 24Q5
No. of ways = 2 x 3 x 3 = 1882°
57°
The measure of x is
The measure of y is
The measure of z is
to
Z
102
62⁰
Answers:
x = 16
y = 41
z = 123
==========================================================
Explanation:
Focus on the large triangle on the left.
The three interior angles of any triangle add to 180 degrees.
57+82+y = 180
y+139 = 180
y = 180-139
y = 41
-------------------
Now focus on the large triangle on the right.
We'll use the same idea as before.
x+102+62 = 180
x+164 = 180
x = 180-164
x = 16
-------------------
The last triangle to focus on is the small one in the middle.
Use the values of x and y to find z.
x+y+z = 180
16+41+z = 180
57+z = 180
z = 180-57
z = 123
Answer:
The angles inside of a triangle always add up to 360 therefore we can easily determine what the angle of x and y is because they are a part of two triangles that have two angles each. Let's first determine x.
[tex]x = 180 - (102+ 62)[/tex]
[tex]x = 180 - 164[/tex]
[tex]x = 16[/tex]
The second step that we need to do is to determine y using 82 and 57.
[tex]y = 180 - (82 + 57)[/tex]
[tex]y = 180 - 139[/tex]
[tex]y = 41[/tex]
The final step is to determine z using x and y
[tex]z = 180 - (x + y)[/tex]
[tex]z = 180 - (16 + 41)[/tex]
[tex]z = 180 - 57[/tex]
[tex]z = 123[/tex]
Therefore, x = 15 and y = 41 and z = 123
Hope this helps!
if x = 4 find 3x - 2x + 24x
Step-by-step explanation:
= 3x - 2x + 24x
= 3 × 4 - 2 × 4 + 24 × 4
= 12 - 8 + 96
= 12 + 96 - 8
= 108 - 8
= 100
What is the coefficient of z in 14xy2z - 3?
Answer:
2
Step-by-step explanation:
A weighted (unfair) die that was purchased at a magic shop was rolled 30 times. The die landed on five dots 25 times. Based on the results, what is the margin of error for the true proportion of times this die would land on five dots? Base your margin of error on a 95% confidence level.
Using the z-distribution, it is found that the margin of error for the true proportion of times this die would land on five dots is of 0.1338.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The estimate and the sample size are given as follows:
[tex]\pi = \frac{25}{30} = 0.8333, n = 30[/tex].
Hence the margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.8333(0.1667)}{30}}[/tex]
M = 0.1338.
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WILL MARK BRAINLIEST
Graph the following exponential function. Show work in how you find the y intercept, talk about the end behavior, and state if it is a growth or decay function.
I already did the graph
y=1/2(0.25)^0-1. +2
y=1/2(0.25)^-1 +2
y=1/2*4+2
y=2+2
y=4
Step-by-step explanation:
set x to 0 to find y intercept
Find some points
y=1/2(0.25)^{x-1}+2x=1
y=1/2+2=5/2=2.5x=2
y=0.25/2+2y=0.125+2y=2.125As you did the graph already so I haven't attached it .
The Y intercept
Put x=0
y=1/2(0.25)^{-1}+2y=1/0.5+2y=2+2y=4Y intercept is 4
A right triangle has one 28° and one 90°. What is the measurement of the third angle?
Answer:
The third measurement is 62°
Step-by-step explanation:
Hey there! Please take a look at the explanation for clear understanding to the answer and also let me know in comment if you have any doubts!
Euclidean TriangleThe theorem regarding it states that, sum of all 3 interior angles must equal to 180°.
That means, we will have this equation:
[tex]\displaystyle \large{28^{\circ} + 90^{\circ} + x=180^{\circ}}[/tex] because we know two interior angles and one missing angle - sum of them equals to 180 degrees.
Then we solve for x-term to find the third measurement!
[tex]\displaystyle \large{118^{\circ}+x=180^{\circ}}[/tex]
Subtract both sides by 118 degrees.
[tex]\displaystyle \large{118^{\circ}-118^{\circ}+x=180^{\circ}-118^{\circ}}\\\\\displaystyle \large{x=62^{\circ}}[/tex]
Henceforth, the third measurement is 62°
PLEASE HELP WILL GIVE BRAINIEST HELPPP!!!!
Answer:
a. <B = 53°
b. BC = 14
c. x = 14
Step-by-step explanation:
Sine(theta) = Opp/HypCosine(theta) = Adj/HypTan(theta) = Opp/Adja. <B = ?
Use Sine.
Sine(<B) = 12 /15
<B = Sin^-1(12/15)
<B = 53.13
<B = 53°
b. BC = ?
Either use Sine(<A) = BC/16 or Cosine(<C) = BC/16
Will be using Cosine.
Cosine(<C) = BC/16
Cosine(30°) = BC/16
BC = 16 * Cos(30°)
BC = 13.856...
BC = 14
c. x = ?
Looking at the triangle. The triangle is isosceles which mean two side angle or side length are the same.
x = 14
Answer:
A: 53.13
B:13.86
C: 14
Step-by-step explanation:
A can be found by using the trigonometric ratio Sin.
Sin=
[tex] \frac{opp}{hyp} [/tex]
And we have our opposite side and hypotenuse. so insert it:
Sin=12/15
Therefore use sin inverse and input that fraction
[tex]sin { }^{ - 1} ( \frac{12}{15} )[/tex]
=53.13010235
Rounded off to two decimals
=53. 13
B can be found using sin again. Since we know that Sin is opp/hyp and we have the hyp, we are now looking for the opp.
So use Sin(60)=BC/16
Multiply 16 on both sides to get: 16Sin(30)=BC
13.85640646=BC
rounded off to two decimals:
13.86
C can be found using Tan. Tan is opp/adjacent
We have the adjacent and we are looking for the opposite.
So use:
tan(45)=X/14
Multiply 14 on both sides
14tan(45)=X
14=X
Hope that helps!
Why is the graph of y=x² always positive?
Answer:
Step-by-step explanation:
Because a square must be positive no matter what the sign of x is.
(-2)^2 = 4
2^2 = 4
Write a sequence of dilations and translations that maps circle D onto circle C and that shows the two circles you created are similar.
Answer: Circle d
Step-by-step explanation:
At the fast food restaurant, an order of fries costs $1.05 and a drink costs $1.07. How much would it cost to get 3 orders of fries and 4 drinks? How much would it cost to get ff orders of fries and dd drinks?
Total cost, 3 orders of fries and 4 drinks:
Total cost, ff orders of fries and dd drinks:
Answer:
$7.43
Step-by-step explanation:
f (fries) = 1.01
d (drinks) = 1.07
1.05f + 1.07d = ?
To solve this problem, you need to replace the variable with the amount of each item.
1.05(3) + 1.07(4) = ?
Now we can solve by multiplying and adding:
3.15 + 4.28 = ?
7.43
I’m really confused on what the answer is supposed to be
Answer:
-4 < x < -2
Step-by-step explanation:
Taking the left part of the inequality :
8 > 4 - xx > -4Taking the right part of the inequality :
4 - x > 6-x > 2x < -2Solution :
-4 < x < -2Find the center of the circle whose equation is (x - 5) 2 + (y + 3) 2 = 6.
Answer:
(5, -3)
Step-by-step explanation:
Solve for x and solve for y by making each set of brackets equal to 0
x + y = 24
5y = x
The solution to the given system of equations is (x,y). What is the value of y?
Answer:
The value of y is 4.
Step-by-step explanation:
Note the system of equation:
x + y = 24
5y = x
First, plug in 5y for x in the first equation:
x + y = 24
(5y) + y = 24
Simplify. Combine like terms. Like terms are terms that have the same amount of the same variable:
(5y + y) = 24
(6y) = 24
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides of the equation:
(6y)/6 = (24)/6
y = 24/6 = 4
Now, plug in 4 for y in one of the given equations in the system of equation:
x + y = 24
x + (4) = 24
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides of the answer:
x + 4 = 24
x + 4 (-4) = 24 (-4)
x = 24 - 4
x = 20
x = 20 , y = 4
~
Check. Use the other equation. Plug in 4 for y, and 20 for x:
5y = x
5(4) = (20)
5 * 4 = 20
20 = 20 (True)
~
The value of y is 4.
Find the equation of a parabola with a focus at (3,1) and a directrix at y = 3.
The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.
Here, focus (3,1) and directrix y=3
Let the locus of parabola be (x, y)
We know that, in Parabola
Distance between locus to focus = Distance between locus to directrix line
[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex] = [tex]\frac{Ax_{1}+By_{1}+C }{\sqrt{A^2 + B^2 + C^2} }[/tex]
[tex]\sqrt{(x-3)^2+(y-1)^2} = \frac{0.x+1.y-3}{\sqrt{0^2+1^2+(-3)^2} }[/tex]
On squaring both sides, we get
[tex](x-3)^2 + (y-1)^2 = (\frac{y-3}{\sqrt{10} } )^2[/tex]
[tex]x^2 -6x + 9 + y^2 -2y + 1 = \frac{y^2 -6y +9}{10}[/tex]
[tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]
Thus, The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]
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If you put $2,000 into an interest
bearing account, where interest is
compounded quarterly (4 times a year) at
6%, how long will it take for your money
to triple?
Use A = P(1+5)
Solve for t.
t = [?] years
Round your answer to the nearest tenth.
Answer:
18.4 years
Step-by-step explanation:
The compound interest formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
For this problem we have
[tex]P= 2000\\r= 0.06\\n= 4\\A= 2000(3)= 6000[/tex]
We plug our numbers...
[tex]6,000= 2,000(1+\frac{0.06}{4} )^{4t} \\[/tex]
Then divide
[tex]6,000/2,000=3[/tex]
[tex]3= (1.015)^{4t}[/tex]
Apply log both sides
[tex]3log=(1.015) 4tlog[/tex]
Solve for t
[tex]t= \frac{3log}{(4log(1.015))} =18.4 years[/tex]
Answer correctly for branliest!
Help please need quickly like rn
Answer:
288 m^3
Step-by-step explanation:
V=(1/3)Bh, where B is base, and h is height
The base will use the equation A=(1/2)bh
B = (1/2)12x9
B = 54
the height is given: 16m
substitute into Volume equation:
V=(1/3)54x16
V=288
The angle below is the image formed when a figure containing /KLM is
dilated by a scale factor of 1/2 What is the measure of ZKLM?
M'
K'
48°
L'
Answer: 48 degrees
Step-by-step explanation:
Dilations preserve angle measure.
what is the expression in simplest form x^2+x-2/x^3-x^2+2x-2
Answer:
[tex]\frac{-2}{x^{2} } -2[/tex]
Step-by-step explanation:
[tex]x^{2} + \frac{x-2}{x^{3} } -x^{2} +2x-2[/tex]
= [tex]\frac{-2}{x^{2} } -2[/tex]
Answer: see photo#2
Step-by-step explanation:
Audrey is running for student council president. she estmates her chances of winning to be 1/5 chance. Which likelihood describes aubrey's estimated chances of winning?
A. Impossible
B. Unlikely
C. likely
D. Certain
Answer:
B. Unlikely
Step-by-step explanation:
Generally speaking, a probability of 0.11 to 0.40 is unlikely. 1/5 is 0.2, which falls in this range.
Rita earns $19.00 per hour. If she gets a 5% raise, what will be her new hourly wage?
A. $19.05
B. $24.00
C. $19.95
D. $18.05
Answer:
C.
Step-by-step explanation:
Find 5% of 19:
19 x 0.05 = 0.95
0.95 + 19 = 19.95
answer is C. 19.95
QUESTION in the diagram below the following are rectangles. ACEG ;BCDJ ; JDEF and HJFG is a square AB =AH = x ;BC=5 ; HG=3 Area of a square= s×s= s² Area of a rectangle= l×b Determine the area of ine following, some cases love answer terms of . DO NOT MEASURE THE DIAGRAM) 2.1.1 ABJHUnit 2.1.2 BCDJ: Units Units 2.1.3 DEFJ 2 2.1.4 HJFG Units 22 write in terms of the length of 2.2.1 AC 2.22 AC Units
The area of the rectangle ACEG is the amount of space on it, and the area of square HJFG is 9 square units
How to determine the area of the figures?The area of a rectangle is:
Area = Length * Width
The area of a square is:
Area = Length * Length
From the question, the given parameters are:
AB =AH = x ;
BC=5;
HG=3
This means that the area of square HJFG is:
Area = HG * HG
Area = 3 * 3
Area = 9
Note that the other areas cannot be calculated because the question is incomplete
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