The period of the given function is 2π/3, the phase shift is 4, and the vertical shift is 6 units.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a trigonometric function:
y = csc[3(x+ 4)]+ 6
Every each revolution of 2π the function repeats the same value for every x.
The period of the original function is 2π
For the given function plug 2π
y = csc[3(x+ 4)+2π]+ 6
y = csc[3(x+ 2π/3+4)]+ 6
The period of the function will be 2π/3
From the function, the phase shift = 4
And vertical shift = 6
Thus, the period of the given function is 2π/3, the phase shift is 4, and the vertical shift is 6 units.
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Option 3
Step-by-step explanation:
8.2, 5.1, 9.4, 9.2, 2.2, 4.9, 4.8, 3.3, 3.9state the median
Answer: Median=4.9
Step-by-step explanation:
What is the answer please?
Answer:
The figures are not similar. If the purple rectangle were to get a transformation, then it would grow. For it to be
Step-by-step explanation:
If the purple rectangle were to get a transformation, then it would grow. For it to be similar it would be stretched one way to be as long as the green rectangle, but that's not how this works. Therefore, they are not similar.
Hope this helps <3
Find the zeros of the function. State the multiplicity of multiple zeros.
y = 12x³ - 12x
Answer: the zeros are the xintercepts which are shown on the graph
Step-by-step explanation:
substitution. y = x − 35 y=-4x
Answer:
(7, - 28 )
Step-by-step explanation:
y = x - 35 → (1)
y = - 4x → (2)
substitute y = x - 35 into (2)
x - 35 = - 4x ( add 4x to both sides )\
5x - 35 = 0 ( add 35 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
substitute x = 7 into either of the 2 equations
substituting into (1)
y = 7 - 35 = - 28
solution is (7, - 28 )
Select the correct answer from the drop-down menu. an automobile manufacturer wants to find out what types of product-related problems its customers are experiencing. the best method to gather the data is .
The correct answer from the drop-down menu is a survey, this is because the type of data you are interested in is more subjective and open-ended.
What is the survey method?To find out what types of product-related problems its customers are experiencing we need to investigate about the problems faced by customers by means of collecting data from a sample of population.
In this case, we have that a survey is a data collection of questions used to gather information about population.
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solve the system of equations below *urgent*
7x+6y=-10
-2x+y=11
F. (-4,3)
G.(-5,1)
H.(7,9)
I. no solution
Which organism will survive best in a damaged ecosystem? (science)
any organism that does not eat the damaged part of the ecosystem
one that eats a wide variety of foods
one that eats primarily one type of food
one that has two main food sources
Answer:
Step-by-step explanation:
Discussion
Think of what it would be like in your own household. If your mom has been away and the food is starting to spoil, you can't be picky. If you are not picky, you will get by until someone goes shopping.
That's the way its going to work in the ecosystem. I would pick B and hope that it the bad times won't last too long.
solve the equation by completing the square. x²+6x-4=0
Answer:
x = √13 - 3
x = -√13 - 3
Step-by-step explanation:
Given :
x² + 6x - 4 = 0Solving :
x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9](x + 3)² - 13 = 0 [Group the square term together](x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]√(x + 3)² = √13 [Taking square root on both sides]x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]x = ±√13 - 3Solutions :
x = √13 - 3x = -√13 - 3I need an answer to this:
Answer:
It will decrease cause there will be more deer. Deer eat blackberry bushes
Step-by-step explanation:
Answer:
It will decrease because there will be more deer
Step-by-step explanation:
Because of the lack of wolves, the deer population would increase. Since it would increase the amount of deer there would be less of the deer's food sources.
Jamila's cake recipe calls for 4 cups of flour.
She cuts the recipe in half. How much flour does es
she use?
Work out the surface area of this cylinder
Answer:
in terms of pi: 24pi cm squared
substituting pi for 3.14: 75.36 cm squared
Step-by-step explanation:
8pi + 16pi = 24pi
The volume of this cube is 27 cubic meters. What is the value of m?
Hey ! there
Answer:
n is equal to 3 metersStep-by-step explanation:
In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .
For finding the value of n we need to know the volume of cube. So ,
[tex] \: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}[/tex]
Where ,
a refers to edge of cubeSOLUTION : -
Substituting given volume that is 27 m³ and value of a as n in formula :
[tex] \quad \longrightarrow \qquad \: n {}^{3} = 27[/tex]
Applying cube root on both sides :
[tex] \quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27} [/tex]
We get ,
[tex] \quad \longrightarrow \qquad \:n= \sqrt[3]{27} [/tex]
We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,
[tex] \quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar[/tex]
Henceforth , value of n is ❝ 3 meters ❞Verifying : -
Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,
a³ = 27 ( where a is equal to n )Substituting values :
( 3 )³ = 273 × 3 × 3 = 279 × 3 = 2727 = 27L.H.S = R.H.SHence, Verified .Therefore, our answer is correct .
#Keep LearningAnswer:
3
Step-by-step explanation:
Formula for volume of cube :
V = n³Here, V is given to be 27 m³.
Substitute the value of V in the formula.
Solving : Take the cubic root on each side.
27 m³ = n³n = ∛27 m³n = 3 meters23 +42
0-24
О-3/16
O3/16
Step-by-step explanation:
23+42=65
0-24=-24
0-3/16=-3/16= -1875
03/16=0.1875
students from a class of 15 are going to be chosen to be on the dance committee. Find the number of different 4-person committees that can be made.
we know that
The formula for combinations is
[tex]C=n!/[(n-r)!*r!][/tex]
where
[tex]n[/tex] is the total number of objects you choose from
[tex]r[/tex] is the number that you choose to arrange
in this problem
[tex]n=15[/tex] students
[tex]r=4[/tex] students
[tex]C=15!/[(15-4)!*4!][/tex] → [tex]C=15!/[11!*4!][/tex] → [tex](15*14*13*12*11!)/(11!*4*3*2*1)[/tex]
[tex]C=(15*14*13*12)/(24)[/tex] → [tex]C=1365[/tex]
the answer is
1,365
8. Between what two consecutive integers must the value of log, 7342 lie? Justify your answer.
9. Between what two consecutive integers must the value of log, (500) lie? Justify your answer.
Can someone help me with these questions? I don’t understand what the question is asking or how to solve. Only 8 and 9
The two consecutive integers that the value of log₄7342 lie between are 6 and 7
The two consecutive integers that the value of log₅(1/500) lie between are -4 and -3
What are consecutive integers?Consecutive integers are whole numbers that follow each other without gaps. For example, 1 and 2; 6 and 7; 5 and 6; 18 and 19 etc.
From the question, we are to determine between what two consecutive integers must the value of log₄7342 lie
The value of log₄7342 = 6.42
On the number line, 6.42 is between 6 and 7.
Hence, the two consecutive integers that the value of log₄7342 lie between are 6 and 7
For log₅(1/500)
The value of log₅(1/500) = -3.861
On the number line, -3.861 is between -4 and -3
Hence, the two consecutive integers that the value of log₅(1/500) lie between are -4 and -3
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Find the greatest common factor of 12y4 and 7y3.
Answer:
24
Step-by-step explanation:
12*2=24
7*3=24
3*7=24
4*6=24
Hope this helps!
Layla owns a small business selling clothing. She knows that in the last week 52 customers paid cash, 20 customers used a debit card, and 11 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth.
Probability of paYing in credit card
11/830.13P(Not paying in credit card)
1-0.130.87The probability that the next customer will pay with something other than a credit card is 0.87.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that Layla owns a small business selling clothing. She knows that in the last week, 52 customers paid cash, 20 customers used a debit card, and 11 customers used a credit card.
Based on these results we have;
Total cards=52+20+11=83
Probability of paying in credit card;
11/83
0.13
Now, P(Not paying in credit card)
1-0.13
0.87
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Philippe went to the farmer's market and spent $2.35 on apples, $1.85 on bananas, and $3.10 on blueberries. How much did Phillipe spend in total?
$7.30
$7.55
$8.30
$8.55
Answer: 7.30
Step-by-step explanation: 0.35+0.85= 1.30 (from 2.35 and 1.85)
(Then you just add the number all together so it’s easier)
1.30+1+2+3.10 =7.30
Need help please answer ASAP!
Answer:
46. (3) 29
47. (1) y = -4x + 3
48. (3) 3
49. (3) -1/2
50. (4) 25x - 75
Step-by-step explanation:
Question 46
Let red marbles be 2x + 3 and black marbles be x2x + 3 + x = 423x = 39x = 13No. of red = 2(13) + 3 = 29 marbles(3) 29Question 47
Parallel to a line means the slope is the same (1) y = -4x + 3Question 48
For the expression to be undefined, the denominator has to be 0x - 3 = 0x = 3(3) 3Question 49
Slope = -4 - 1 / 4 + 6Slope = -5/10Slope = -1/2(3) -1/2Question 50
Total = 25xLeft 3 boxes at home = -3x = -3(25) = -75(4) 25x - 75Does anybody know the other two? QSRT is a Rectangle find the lengths of the following sides
Answer:
/TS/=12cm
/QP/=
/QR/²=16²+12²
/QR/²=256+144
/QR/²=400
/QR/=√400
/QR/=20
/QP/=20/2=10
let /PT/ be x
hyp²=opp²+adj²
16²=20²+x²
x²=400-256
x²=144
x=√144
x=12.
Rewrite 4-3.4-18 using positive exponents.
Answer:
Step-by-step explanation:
4^-3
= 1/4^3
4^-18
= 1/4^18.
Which of the following functions is represented in the graph shown?
f(x) = −2cos(2x) + 1
f(x) = −4cos(2x) − 1
f(x) = −2cos(x) − 1
f(x) = −4cos(x) + 1
Answer:
[tex]f(x)=-2\cos(2x)+1[/tex]
Step-by-step explanation:
Recall the general cosine equation
Function: [tex]f(x)=a\cos(bx+c)+d[/tex]Amplitude: [tex]|a|[/tex]Period: [tex]\frac{2\pi}{|b|}[/tex]Vertical Shift: [tex]-\frac{c}{b}[/tex]Midline: [tex]y=d[/tex]Identify amplitude
[tex]\text{Amplitude}=\frac{\text{Max-Min}}{2}=\frac{3-(-1)}{2}=\frac{4}{2}=2[/tex]
Identify period and solve for b
[tex]\frac{3\pi}{2}-\frac{\pi}{2}=\pi\\ \\\frac{2\pi}{|b|}=\pi\\ \\2\pi=b\pi\\\\2=b[/tex]
Identify midline
[tex]y=d=1[/tex]
Final Equation
[tex]f(x)=-2\cos(2x)+1[/tex]
Also, the reason why [tex]a=-2[/tex] is because a cosine function starts at its maximum, but since it starts at its minimum, the value of [tex]a[/tex] must be negative and causes the wave to flip about the midline.
if 1 Bahrain Dinar= £ 2.13 Convert 4000 Dinar to Pound.
4000 Bahrain Dinar as Pounds.
Solution:let the unknown be "x"
we'll have to do cross multiplication.
[tex] \frac{1}{4000} \times \frac{2.13}{x} [/tex]
so now,
[tex]x = 4000 \times 2.13[/tex]
[tex]\large\boxed{\sf{£ 8520}}[/tex]
Therefore, 4000 Bahrain Dinar is £ 8520
Answer to your question is:
£ 8520
hope this helps!
somebody please help me
Answer:
is the answer 2 3/4
Step-by-step explanation:
Change 36.2% to a fraction.
Answer:
Step-by-step explanation:
Conversion
A % can always be changed into a decimal by dividing by one hundred. In this case
decimal = 36.2/100 = 0.262 \\
Answer: 0.262
Answer:
181/500
Step-by-step explanation:
Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are ambrase, 30% are butonic, 15% are colana, and 35% are dynamite. a party guest randomly chooses four cans of soda. calculate the probability that the guest chooses one of each type of soda.
The probability that the guest chooses one of each type of soda will be 8.03%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are Ambrase, 30% are Butonic, 15% are Colana, and 35% are Dynamite.
A party guest randomly chooses four cans of soda.
Then the probability that the guest chooses one of each type of soda will be
Let the total number of the soda can will be 100. Then we have
Ambrase = 20
Butonic = 30
Colana = 15
Dynamite = 35
[tex]\rm P = \dfrac{^{20}C_1 \times ^{30}C_1\times ^{15}C_1\times ^{35}C_1}{^{100}C_4}\\\\\\P =\dfrac{20 \times 30 \times 15 \times 35}{3921225}\\\\\\P = \dfrac{600}{7469}\\\\\\P = 0.08033\\\\\\P = 8.03\%[/tex]
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Write 23/4 as a mixed number. give your answer in its simplest form.
Answer:
Here is the ans...Hope it helps :)
2. Solve the following system of equations.
f(x) = 2x^2 – 5x– 7
g(x) = -4x^2+16
O (-1.2,17.88) and (-1.5, 17)
O (2.42,-7.4) and (-1.58, 5.9)
(-1.5, 17) and (3.7, 1788)
O (2.4,- 44) and (3.7, 17.88)
Answer:
Cited by 3 — —1.4 p F, ~ +~~• 3*,7 38 4.0 7 h m 0 16 44.20 17 25.10 —0.7 3326~7 ... O—1.2 —1.4 F ~ ,F~ ~ 7.8 38 26.6 m ~ .8 ~5 2~5 44;65 26 2.95 h -4
Step-by-step explanation:i know
Answer:
(2.42,-7.4) and (-1.58, 5.9)
Explanation:
f(x) = 2x² – 5x– 7g(x) = -4x² + 16Solve algebraically:
⇒ f(x) = g(x)
⇒ 2x² – 5x– 7 = -4x² + 16
⇒ 2x² - 5x - 7 + 4x² - 16 = 0
⇒ 6x² -5x -23 = 0
Now use the quadratic function: [tex]\boxed{ \sf x = \dfrac{-b\pm\sqrt{b^2 - 4ac} }{2a}}[/tex]Identify : a = 6, b = -5, c = -23
Solving Step Wise:[tex]\rightarrow \sf x = \dfrac{-(-5)\pm\sqrt{(-5)^2 - 4(6)(-2)} }{2(6)} \ = \ \dfrac{5\pm\sqrt{577} }{12} \ = \ 2.42, -1.58[/tex]
Solve for y : 2(2.42)² - 5(2.42) -7 and 2(-1.58)² - 5(-1.58) - 7 = -7.4, 5.9
Coordinates: (2.42,-7.4) and (-1.58, 5.9)
he pyramid shown below represents the Pyramid of the Moon, which is located in Teotihuacan, Mexico.
What is the volume of this pyramid?
Answer:
1156528
Step-by-step explanation:
you multiply all of the numbers to get it i think hope this helps
Which is the next step in the following construction of an equilateral triangle?
circle with center P and point A along circles edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C
Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have:
Circle with centre P and point A along the circle's edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C.
A triangle with three sides that are all the same length and three angles that are all the same size (60°) is called an equilateral triangle.
Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
Thus, connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
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