Answer and Explanation :
To find : What is the phase shift of a periodic function?
Solution :
The Phase shift is defined as a horizontal shift in a function in any direction.
Horizontal stretches will change the period of the function and that horizontal shift is called a phase shift or the amount of shift in a wave horizontally.
The phase shift is measured in degrees.
Refer the attached figure below for the pictorial representation of teh phase shift.
In the figure, [tex]\frac{\pi }{2} \text{ to } \pi[/tex] is showing the phase shift.
Example - Taking a general example of sin function
[tex]y = A \sin(B(x + C)) + D[/tex]
In this the phase shift is at C (positive is to the left).
Complete the table by squaring each positive x-value listed 2, 3,4,5,6,7,8,9,10,11
2²=4 2×2
3²=9 3×3
4²=16 4×4
5²=25 5×5
6²=36 6×6
7²=49 7×7
8²=64 8×8
9²=81 9×9
10²=100 10×10
11²=121 11×11
Answer:
2²=4 2×2
3²=9 3×3
4²=16 4×4
5²=25 5×5
6²=36 6×6
7²=49 7×7
8²=64 8×8
9²=81 9×9
10²=100 10×10
11²=121 11×11
524.95 to the nearest ten
525
Because the nearest tenth is the number after the decimal point but then nine rounds up. If you don’t want the nine rounded up leave it as 524.9
In given number 524.95, place value of 9 is tenth. So, the nearest ten is 525.0
What is place value?The place value is the position of each digit in a number.
The nearest tenth is the number after the decimal point but then nine rounds up. If you don’t want the nine rounded up leave it as 524.9
524.9 = 525.0
Therefore, the answer is 525.0
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(x ________ )(x ________) = x^2−4x−32
what numbers/variables can fill in the blanks?
SOMEBODY PLZZZ HELPPPPPPP!!!!!
➷ You have to find two values that will multiply to give -32 and add to give -4
Through trial and error, you will find that the two values are -8 and +4
Place these in:
(x + 4)(x - 8)
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food
Answer:
x = 32/7, or 4 4/7 meals
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
7/8 lb 4 meals
------------ -------------
1 lb x
x will be the number of meals necessary for the dog to eat 1 lb of food.
Cross-multiplying, (7/8)x = 4.
Multiplying both sides by 8/7 is an easy way to isolate x:
(8/7)(7/8)x = (8/7)(4)
or
x = 32/7, or 4 4/7 meals
The value of y varies directly with x.when y =150,x=1/3.what is the value of y when x is 16/6.
maybe 1200 because you multiply by 8 or 16/2
what two prime numbers total 31
Answer:
2, 29
Step-by-step explanation:
The prime numbers are 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89, and 97.
Water has a density of about 0.0361 pounds/cubic inch. You might know that wood floats on water. What can you conclude about the densities of objects that float and the densities of objects that do not?
Answer:
Step-by-step explanation:
Objects that float on water have densities less than the density of water; those that do not float on water have densisties greater than the density of water:
Float on water: d < 0.0361 lb/in³ (where d denotes denisity)
Do not float on water: d > 0.0361 lb/in³
The densities of objects that float on water are lower than those of objects that don't float.
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
We have:
Water has a density of about 0.0361 pounds/cubic inch.
Let d be the density:
Float on water: d < 0.0361 lb/in³
Do not float on water: d > 0.0361 lb/in³
The densities of objects that float on water are lower than those of objects that don't, which have densities higher than those of water.
Thus, the densities of objects that float on water are lower than those of objects that don't float.
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Cw 10. _______thanks
Answer:
Refer to Step-by-step
Step-by-step explanation:
1. Circle P
Because the name of the circle is named by the central point of the circle.
2. Radius AP or PB
The radius is the measurement of the center of the circle to the circumference of the circle.
3. Chord DE
A chord is a line segment where both endpoints lie on the circle.
4. Diameter AB
The diameter is a line segment that goes straight across the center of a circle and the endpoints reach the circumference of the circle.
5. 12.73ft
[tex]d = \dfrac{C}{\pi }[/tex]
[tex]d = \dfrac{40}{\pi }[/tex]
[tex]d=12.73ft[/tex]
6. 4.97m
[tex]d = \dfrac{C}{\pi }[/tex]
[tex]d = \dfrac{15.62}{\pi }[/tex]
[tex]d = 4.97m
[/tex]
7. 132.7cm
[tex]a^{2}+b^{2} =c^{2}[/tex]
a = 5 cm
b = 12 cm
c = ?
[tex]5^{2}+12^{2} =c^{2}[/tex]
[tex]25+144=c^{2}[/tex]
[tex]c^{2}=169[/tex]
[tex]\sqrt{c^{2}}=\sqrt{169}[/tex]
[tex]c=13cm[/tex]
r = diameter/2
r = 13cm
r = 6.5cm
[tex]C=\pi r^{2}[/tex]
[tex]C=\pi 6.5^{2}[/tex]
[tex]C=132.7cm[/tex]
8. 128.7in
[tex]a^{2}+b^{2} =c^{2}[/tex]
a = 9in
b = 9in
c = ?
[tex]9^{2}+9^{2} =c^{2}[/tex]
[tex]81+81=c^{2}[/tex]
[tex]c^{2}=162[/tex]
[tex]\sqrt{c^{2}}=\sqrt{162}[/tex]
[tex]c=12.7in[/tex]
r = diameter/2
r = 12.7in/2
r = 6.4in
[tex]C=\pi r^{2}[/tex]
[tex]C=\pi 6.4^{2}[/tex]
[tex]C=128.7in[/tex]
Before we proceed, let's solve for the missing arcs UT, PQ, and RQ
Arc UT = 180° - (40° + 40° + 50°)
Arc UT = 50°
Now since Arc PQ is half of the diameter, then:
Arc PQ = 90°
The same applies for Arc QR
Arc QR = 90°
9. 275°
Arc UPQ = 40°+50°+180°
Arc UPQ = 275°
10. 90°
Arc UTS = 50°+40°
Arc UTS= 90°
11. 140°
Arc RSU = 50°+40°+50°
Arc RSU = 140°
12. 270°
Arc PQS = 40°+50°+180°
Arc PQS = 270°
13. 180°
Arc PQR = 90° + 90°
Arc PQR = 180°
14. 50°
15. 130°
Arc STP = 40°+50°+40°
Arc STP = 130°
16. 320°
Arc PRU = 180° + 50° + 40° + 50°
Arc PRU = 320°
[tex]xy + x + y = 11 \\ x {}^{2}y + xy {}^{2} = 30[/tex]
find x & y
I think the answer is 2 and 3.
x=1,2,3,5
y=5,3,2,1
Step-by-step explanation:see the image
If CDEF ≅ MNPQ, then ∠N ≅ _____
∠E.
∠D.
∠F.
∠C.
Answer: ∠D.
Step-by-step explanation:
because they are in the same position (2nd letter placement)
If quadrilaterals CDEF ≅ MNPQ, then it follows that ∠N ≅ ∠D.
Hence ∠D is correct.
If CDEF and MNPQ are congruent,
Then it means they have the same shape and size.
In other words, all of their corresponding angles and sides are equal.
Therefore, if ∠C is congruent to ∠M,
∠D is congruent to ∠N,
∠E is congruent to ∠P, and
∠F is congruent to ∠Q.
This is because congruence is a relation of equality between two geometric figures.
So, if two triangles (or any other polygons) are congruent,
Then all of their corresponding angles and sides are equal.
Therefore, if CDEF ≅ MNPQ, then it follows that ∠N ≅ ∠D.
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4/3x -3 ≤ -11
Please show how you got your answer!!
Answer:
-11+3=-8
-8=4/3x
-8/(4/3)=x
x=6
six angles of a heptagon measure 107, 139, 131, 110, 145. and 128. what is the measure of the seventh angle
the measure is 140, I basically summed all of the angles of a polygon of “n”, which is 7, then I did 7-2 times 180 (900) so I can finally add up all of your measurements
The seventh angle of the given Heptagon is 140 degrees.
What is Heptagon?A heptagon is a polygon that has seven sides. It is a closed figure having 7 vertices. A heptagon is also sometimes called Septagon.
Given, six angles of a heptagon measure 107, 139, 131, 110, 145. and 128.
Since, Sum of all angles of Heptagon is 900°
Let "x" be the seventh angle of Heptagon
thus,
107 + 139 + 131 + 110 + 145 + 128 + x = 900
760 + x = 900
x = 140
Therefore, The seventh angle of the given Heptagon is 140 degrees.
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Toms Toy car went 2 meters without stopping Roberts went 145 centimeters whose car went farther
Answer:
Tom's car went further
Step-by-step explanation:
Since there are 100 centimeters in 1 meter - Roberts car went nearly 1 and a half meters or Tom's car went 200 centimeters.
toms car went farther
In a sample of 32 city residence, 24 reported that they take vitamin C supplement daily. There are 46,480 residence in the city. Which estimate represents the number of city residents who take vitamin C supplement daily?
Answer:
34,860
Step-by-step explanation:
In a sample of 32 residence, 24 take Vitamin C. From here we can get the proportion of residents who take Vitamin C, which is 24/32 = 3/4 = 0.75
0.75 in percentage is 75%. This means 75% of the residents in sample take Vitamin C.
We can expect the same percentage of people in entire population to take Vitamin C.
Total population of city = 46480
Expected number of residents who take vitamin C in the city = 75% of 46480
= 0.75 x 46480
= 34860
This means, 34860 is an estimate of number of city residents who take Vitamin C supplement daily.
Based on the sample study and assuming its representativeness of the general population, it is estimated that approximately 34,860 residents of the city take a vitamin C supplement daily.
Explanation:In the sample study, the proportion of residents who take vitamin C supplements daily is calculated by dividing the number of individuals who reported taking the supplement (24) by the total number of individuals in the sample (32). This yields a proportion of 0.75, or 75%. Then, we can apply this proportion to the total population of the city to estimate the number of residents who take vitamin C daily. Therefore, the estimated number is 0.75 * 46,480 = 34,860.
In conclusion, assuming that the small sample is representative of the larger population, we would estimate that "approximately 34,860" city residents take a vitamin C supplement daily.
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Please help I need help with this ASAP please
please i really need help
Answer:
D
Step-by-step explanation:
Two events are independent if the intersection of the two events is the same as multiplying each events probability.
P (Texas) = 125/ 275 = 0.45
P (Brand A) = 176/275 = 0.64
0.45 * 0.64 = 0.29
P (Texas ∩ Brand A) = 0.29
So to find P (Texas | Brand A) = 0.29 / 0.64 = 0.45
Answer choice D makes the best choice.
I need a step by step explanation how to solve for the solutions of this (Not by graphing)
y=({x}^2)-8x+15 and y=3x+15 (Once again plz solve using a method other than graphing and add an explanation)
Answer:
(0, 15) and (11, 48)
Step-by-step explanation:
Given the 2 equations
y = x² - 8x + 15 → (1)
y = 3x + 15 → (2)
Substitute y = x² - 8x + 15 into (2)
x² - 8x + 15 = 3x + 15 ( subtract 3x + 15 from both sides )
x² - 11x = 0 ← in standard form
x(x - 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x - 11 = 0 ⇒ x = 11
Substitute these values into (2) for corresponding values of y
x = 0 : y = 0 + 15 = 15 ⇒ (0, 15)
x = 11 : y = 33 + 15 = 48 ⇒ (11, 48)
Solutions are (0, 15), (11, 48)
Two points are 10 units apart on the coordinate plane. If
an ant were to walk between the 2 points moving only
vertically and horizontally, it would have to walk 6 horizontal
units. How many vertical units would the ant have to walk?
Answer:
The vertical distance the ant have to walk is 8 units
Step-by-step explanation:
∵ The ant must be walk vertically and horizontally
∴ The distance from start point to end point will be as
a hypotenuse of a right angle triangle
∵ The ant would have to walk 6 units horizontally that
means one side of the right angle is 6 units
∵ The two points are apart by 10 units that means
the length of the hypotenuse is 10 units
∴ The vertical distance the ant would have to walk is
the length of the second side of the right angle
* By using Pythagoras Theorem:
∵ (hypotenuse)² = (horizontal leg)² + (vertical leg)²
∴ 10² = 6² + (vertical leg)²
∵ (vertical leg)² = 100 - 36 = 64
∴ Vertical leg = √64 = 8 units
∴ The vertical distance the ant have to walk is 8 units
What is the slope shown below?
Answer:
A
Step-by-step explanation:
To calculate the slope m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 7) and (x₂, y₂ ) = (9, 1) ← 2 points on the line
m = [tex]\frac{1+7}{9+3}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]
Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5. What are the dimensions of the model bed she built?
0.08 foot × 0.10 foot
0.40 foot × 0.50 foot
0.80 foot × 1.00 foot
0.04 foot × 0.05 foot
Answer: third option
Step-by-step explanation:
You have the following information given in the problem:
- The dimensions of Kyra's bed is:
[tex]4feet*5feet[/tex]
- The scale factor she used was: [tex]\frac{1}{5}[/tex]
Therefore, keeping the above on mind, you can find the the dimensions of the model bed she built by multipliying the dimensions of her bed by the scale factor:
[tex]\frac{1}{5}*4ft=0.80ft\\\\\frac{1}{5}*5ft=1.00ft[/tex]
Then, the answer is:
[tex]0.80ft*1.00ft[/tex]
Mario simplified the expression as shown.
Which statement explains Mario’s error?
Answer: Last option
Step-by-step explanation:
1. According to the properties of exponents, you have that:
[tex]a^{-n}=\frac{1}{a^n}\\\\(a^n)^m=a^{mn}[/tex]
2. Then, he must simplify the expression as following:
[tex](4z^8)^{-3}={4^{-3}z^{8(-3)}=\frac{1}{64z^{24}}[/tex]
3. Therefore, as you can see, should have also applied the negative exponent to 4 to get [tex](4z^8)^{-3}={4^{-3}z^{8(-3)}=\frac{1}{64z^{24}}[/tex]
Answer:
The correct answer option is He should have also applied the exponent -3 to 4 to get [tex]4^{-3}z^{8 \cdot(-3)} = 4^{-3}z^{-24} = \frac{1}{64z^{24}}[/tex].
Step-by-step explanation:
The following expression was to be simplified by Mario:
[tex] (4z^8)^-3 [/tex]
Given this expression, we need to apply this rule on it in order to simplify:
[tex] (a b)^m = a^m \cdot b^m [/tex]
So we would get:
[tex] (4z^8)^-3 [/tex]
[tex]4^{-3} \cdot (z^8)^{-3}[/tex]
[tex]\frac{1}{4^3} \cdot z^{-24}[/tex]
[tex]\frac{1}{64z^{24}}[/tex]
This would be the right simplification for the given expression but by looking at Mario's work shown, we can conclude that:
He should have also applied the exponent -3 to 4 to get [tex]4^{-3}z^{8 \cdot(-3)} = 4^{-3}z^{-24} = \frac{1}{64z^{24}}[/tex].
At a sporting event, the price of 3 cheeseburgers and 2 cups of lemonade is $14 and the price for 2 cheeseburgers and 4 cups of lemonade is $12. How much does it cost for 1 cheeseburger and 2 cups lemonade?
Show Work Please Please Help Imediatly
Answer: $2
Step-by-step explanation: this is only if everything is the same price.
farriah found out that 54 students in the 7th grade have older siblings. there are 81 students in the 7th grade. what is the ratio of students with older siblings in the 7th grade? ( answer choices A. 2:1 B. 2:3 C. 1:27 D. 7:27 )
Answer: 2:1
Step-by-step explanation:
What is the ratio of x to y=?
2/3=(x)/(3x+y)
Answer:
x : y = 2 : - 3
Step-by-step explanation:
given
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{3x+y}[/tex] ( cross- multiply )
3x = 2(3x + y) ← distribute
3x = 6x + 2y ( subtract 6x from both sides )
- 3x = 2y ( divide both sides by y )
- 3[tex]\frac{x}{y}[/tex] = 2 ( divide both sides by - 3 )
[tex]\frac{x}{y}[/tex] = [tex]\frac{2}{-3}[/tex]
I need to know what this means
Answer: (5n - 8)(n² - 3)
Step-by-step explanation:
You can factor this using the Grouping Method (hint: rearrange the terms)
5n³ - 8n² - 15n + 24
= 5n³ - 15n -8n² +24
= 5n(n² - 3) -8(n² - 3)
= (5n - 8)(n² - 3)
Solve: 25x^2 - 36 = 0
A.) x = 6, 5
B.) x = -6, -5
C.) x = 36/25, x = -36/25
D.) x = 6/5, x = -6/5
Answer: 6/5 and -6/5
Step-by-step explanation: In order to solve this problem, we want to get the variable on one side. In order to do that, we must do the following:
Add 36 on Both Sides:
[tex]25x^2 - 36+36 = 0+36[/tex]
Divide 25 on Both Sides:
[tex]\frac{25x^2}{25}= \frac{36}{25}[/tex]
Take the square root of Both Sides:
[tex]\sqrt{x^2} = \sqrt{\frac{36}{25} }[/tex]
That means your answer is:
[tex]x = \frac {6}{5}[/tex], or [tex] -\frac {6}{5} [/tex]
7814/12 in a mixed number
Here is your answer 651 2/12
hope this helps.
Please mark me as brainliest.
Answer:
651 2/12
Step-by-step explanation:
if you subtract 8 from 7 times a certain number, you end up with 34. what is the number?
If we call the unknown number x, we have:
7 times a certain number is [tex]7x[/tex]If we subtract 8, we have [tex]7x-8[/tex]If this equals 34, we have
[tex]7x-8=34[/tex]
Add 8 to both sides:
[tex]7x=42[/tex]
Divide both sides by 7:
[tex]x=6[/tex]
Jose is planning to spread fertilizer on his rectangular yard. His yard has the lenth of 40 ft and width of 25 ft. How much fertilizer does he need
Answer:
1000 square feet
Step-by-step explanation:
We are given that Jose is planning to spread fertilizer on his rectangular yard which has a length of 40 ft and width of 25 ft.
We need to find out the amount of fertilizer he needs.
We know that the formula of area of rectangle is given by: [tex]l \times w[/tex]
So substituting in the given values to get:
[tex]40 \times 25 = 1000[/tex] square feet
Answer:
1000 sqare feet
Step-by-step explanation:
LxW=A
40x25=1000
how i solve that please
Answer:
i cant see the picture
Step-by-step explanation:
If ec bisects are congruent to bed find m bed ..??
Answer:
m<BED = 136 deg
Step-by-step explanation:
Since ray EC bisects <BED, angles BEC and CED are congruent. That means their measures are equal. Set the measures equal to each other, and solve for x.
11x + 2 = 8x + 20
Subtract 8x from both sides.
3x + 2 = 20
Subtract 2 from both sides.
3x = 18
Divide both sides by 3.
x = 6
Now we use the value of x to find the measure of angle BED.
The measure of angle BED is twice the measure of angle BEC. We know that x = 6.
m<BED = 2m<BEC = 2(11x + 2) = 2(11 * 6 + 2) = 2(66 + 2) = 2(68) = 136