Answer:
3 batches
Step-by-step explanation:
the function g(x) represents f(x)=9 cos (x-pi/2)+3 after translating pi/6 units left and 4 units up. which equation represents g(x)?
g(x)= 9 cos (x - 2pi/ 3) -1
g(x)= 9 cos (x - 2pi/3) +7
g(x)= 9 cos (x - pi/3) +7
g(x)= 9 cos (x - pi/3) -1
Answer:
g(x)= 9 cos (x - [tex]\frac{\pi}{3}[/tex]) +7
Step-by-step explanation:
What is given is f(x) = g cos (x - pi/2) + 3
Note that the standard form of cosine function is a cos (bx + c) + d
a= amplitude
-c/b = phase shift
d = vertical shift
After moving pi/6 to the left --
x = pi/2 - pi/6 = pi/3
once moving pi/6 left, it is at pi/3
moving 4 units up just means adding 4 + 3, and that equals 7, that would be the vertical shift once applied.
So the equation that represents g(x) is C. 9 cos (x - pi/3) + 7
The equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
The function is given as:
[tex]f(x)=9 \cos (x-\frac{\pi}{2})+3[/tex]
The function f(x) is first translated [tex]\frac{\pi}{6}[/tex] units left.
The rule of this translation is:
[tex](x,y) \to (x + \frac{\pi}{6},y)[/tex]
So, we have:
[tex]f'(x)=9 \cos (x+ \frac{\pi}{6}-\frac{\pi}{2})+3[/tex]
Take LCM
[tex]f'(x)=9 \cos (x+ \frac{\pi - 3\pi}{6})+3[/tex]
[tex]f'(x)=9 \cos (x- \frac{2\pi}{6})+3[/tex]
Divide 2 by 6
[tex]f'(x)=9 \cos (x- \frac{\pi}{3})+3[/tex]
Next, we translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]g(x)=9 \cos (x- \frac{\pi}{3})+3 +4[/tex]
[tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
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The perimeter if a rectangle is 84 inches. The length is 12 inches less than twice the width. Find the length and width of the rectangle.
Answer:
Length= 7 Width=2
Step-by-step explanation:
y=1/2(x+4)(x-2) vertex
Answer:
(-1, -4.5)Step-by-step explanation:
[tex]y=\frac12(x+4)(x-2)\quad\implies\quad x_1=-4\,,\ \ x_2=2[/tex]
vertex is (p, q) where:
[tex]p=\dfrac{x_1+x_2}2=\dfrac{-4+2}2=\dfrac{-2}2=-1\\\\q=f(p)=\frac12(-1+4)(-1-2)=\frac12(3)(-3)=-\frac92=-4.5[/tex]
So the vertex is: (-1, -4.5)
What is the length of the altitude of the equilateral triangle below?
A: 32
B: 8 : 3
C: 4
D: 4 : 3
E: 1
F: 8
Answer:
D
Step-by-step explanation:
AP3X
pog
The altitude of the triangle is 4√3 which is the correct option (D)
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.
When we drop a perpendicular that is the height of the triangle we have a 30 -60 90 triangle.
The hypotenuse = 8
Let, perpendicular = a and base = 4
According to Pythagoras theorem,
A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
perpendicular²+base² = hypotenuse²
a² + (4)² = (8)²
a² + 16 = 64
a² = 64 - 16
a² = 48
a = √48
a = 4√3
Hence, the altitude of the triangle is 4√3
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Calcuta eI 25%,35% y el 75% de 1250.
Answer:
25% of 1250 = 312.5
35% of 1250 = 437.5
75% of 1250 = 937.5
Step-by-step explanation:
1250/100 = 12.5
12.5 * 25 = 312.5
12.5 * 35 = 437.5
12.5 * 75 = 937.5
how to do this question plz
Answer:
90(8) + 2(38) = 270 + 76 = 346p
Step-by-step explanation:
Examine triangle ABC.
Triangle A B C. Angle B is 79 degrees. Exterior angle to A is (x + 5) degrees and the exterior angle to C is x degrees. What is the value of x?
37
48
127
138
Answer:
x=127
Step-by-step explanation:
total sum of all angle of triangle is 180 degree
Now,
taking angle A let interior angle be Y
taking angle C let interior angle be Z
Again, In angle A
the sum of interior angle and exterior angle is 180 degree being staright line
Or, y+(x+5)=180
or,x+y=180-5
or, x+y=175
or,y=175-x --------eqn 1
In angle C
the sum of interior angle and exterior angle is 180 degree being staright line
or, x+z=180
or, z=180-x ----------eqn2
Again, In triangle ABC
total sum of all angle of triangle is 180 degree.
Angle A+ Angle B + AngleC=180
Or, y+79+z=180 -------eqn3
putting the value of eqn-1 and eqn-2 in eqn-3
Or, 175-x+79+180-x=180
Or, 431-180= 2x
Or, 254÷2=x
hence X= 127 degree
Answer:
c127
Step-by-step explanation:
Mr. Willy Wonka made gobstoppers to sell as a new candy from his marketing department.
Mr. Michals helped by donating three additional gobstoppers to his collection. Each gobstopper
was then cut into six pieces and sold. There were a total of 72 pieces to sell. How many
gobstoppers did Mr. Willy Wonka make?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Can anyone help me? Worth 10 points!!!
Answer:
33
Step-by-step explanation:
Fabric for 1 pillow case: 1.5 ÷ 3 = 0.5Amount of pillow cases made with 16.5 yards of fabric: 16.5 ÷ 0.5 = 33I hope this helps!
Answer:
33 pillowcases
Step-by-step explanation:
16.5 yard of fabric/ 1.5 yards of fabric = 11 yards of fabric
Multiply 11 (yards of fabric) by 3 (# of pillowcases) to get the number of pillowcases you can make with 16.5 yards of fabric.
11 * 3 = 3 pillowcases
I need help with this
Answer:
3 weeks.
Step-by-step explanation:
Answer:
3 weeks
Step-by-step explanation:
Hope this helps
Convert 890 / 110 into a mixed number
Answer:
8 and 1/11.
Step-by-step explanation:
Answer:
8 1/11
Step-by-step explanation:
Hope this helps!!
Just in case :
(8 and 1/11)
What is the greatest common factor of 42 and 14?
It is 14 because if you do prime factorization:
14 = 2 x 7
42 = 2 x 3 x 7
They have the factors 2 and 7 in common.
2 x 7 = 14.
Answer:
The GCF is 14!
Step-by-step explanation: Okay Lets multiply to get 42, 14 x 1 is 14, 14 x 2 is 28, 14 x 3 is 42! We also know that this is the GCF because 42 and 14 can both be divided by 14!
ANSWER NEEDED ASAP
In the figure, line a and line b are parallel. Based on the figure, match each given angle with its congruent angles. angles congruent to ∠1 angles congruent to ∠2 angles congruent to ∠7 angles congruent to ∠6 ∠3,∠7,∠6 arrowRight ∠3,∠7,∠2 arrowRight ∠4,∠8,∠5 arrowRight ∠3,∠6,∠2 arrowRight
Answer:
angles 3, 7, and 6 are congruent to angle 2
angles 3, 7, and 2 are congruent to angle 6
angles 4, 8, and 5 are congruent to angle 1
angles 3, 6, and 2 are congruent to angle 7
Please mark Brainliest
Answer:
∠3,∠7,∠2 congrent to 6
∠3,∠7,∠6 congruent to 2
∠4,∠8,∠5 congruent to 1
∠3,∠6,∠2 congruent to 7
Step-by-step explanation:
THINK SMARTER Margot wants to use partial products to find 22 X 17.
Write the numbers in the boxes to show 22 X 17-
Answer:
( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )
Step-by-step explanation:
To create partial products when multiplying two numbers, first break the numbers up into a sum of two numbers. The order that these numbers are multiplied does not necessarily matter as long as they are multiplied with the correct numbers.
22 × 17 = (20 + 2)(10 + 7) = 20 (10 + 7) + 2 (10 + 7) =
( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )
= 374
You can check this method works by using your calculator, and multiplying 22 by 17 to get 374 again!
Then just add like you would if when you distribute.
Remember FOIL (First, Outer, Inner, Last)
when multiplying two binomials(2 terms) or distributing factors with two terms.
For example:
(a + b)(c + d) =
F F
O O
I I
L L
(a × c) + (a × d) + (b × c) + (b × d)
Please help if possible thank you♥️
Answer:
B.
Step-by-step explanation:
16 * 4 = 64
The square root of 64 is 8, the square root of 16 is 4, and the square root of 4 is 2
4 * 2 = 8
Please mark Brainliest thank you!!
Andrea ordered a pizza for dinner. She ate 1/4 of the pizza. Her brother ate 35% of the pizza. Her mom ate .10 of the pizza. How much pizza is left?
Answer: 0.3, 30%, or 3/10
Step-by-step explanation:
Andrea ate 1/4 of the pizza.
1/4 = 0.25
Her brother ate 35% of the pizza.
35% = 0.35
Her mom at 0.10 of the pizza.
1 - 0.25 - 0.35 - 0.10 = 0.3 of the pizza
0.3 = 30% = 3/10
Which expression is equivalent to cos(40°)cos(10°) + sin(40°)sin(10°)?
sin(40° – 10°)
cos(40° + 10°)
sin(40° + 10°)
cos(40° – 10°)
Answer:
Cos ( 40 + 10)
Step-by-step explanation:
The expression Cos( A + B)
Can be written as;
CosA CosB - SinASin B
Applying this particular case in this question;
Cos (40 + 10) = cos 40cos 10 - sin 40 sin 10
Answer:
its cos(40-10)
Step-by-step explanation:
Consider the following figure where l1 and l2 are parallel and cut by transversals g1
and g2.
Part A: Determine the values of m, n, v, and r.
Part B: if m|o=8p-12, then determine the value of (p/1/4)
Help please
Answer:
helppppp
Step-by-step explanation:
Answer:
m: 88
n: 112
v: 88
r: 112
- 6n - 16 = 20 what does n =?
Answer: the answer is -6
use symbolab
Hanna is building a fence. She will use the house for one side of the fence as shown in the scale drawing below
Answer:
Step-by-step explanation:
I dont see the drawling...
Find the maximum or minimum value of the parabola.
y = –2x^2 – 16x + 20
Answer:
y=-20x+20
Step-by-step explanation:
Write the number in standard form. One hundred forty million, six hundred eighty-seven
Answer:
140,000,687
Step-by-step explanation:
PLS HELP! URGENT
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.
What is the constant proportionality?
Answer:
(0,0) represents the cost of 0 bags of candy.
where (1,2) tells us that 1 bag of candy costs $2....(2,4) and 2 bags of candy costs $4.....(3,6) and 3 bags of candy cost $6
Step-by-step explanation:
The model of a rugby field is shown. Sarah ran across the length of
the field 5 times for conditioning practice. How far did Sarah run in all?
27 cm
14 cm
Scale
1 cm: 7 m
945 meters
490 meters
378 meters
921 meters
Plzzzzzzzzzz help me
Answer:
27x7=189.
189x5= ***945cm***
Im Trying to figure out what the x is? Here is the problem:
-54/x=-6? If anyone could help that would be awesome!!!
Answer:
9
Step-by-step explanation: you do
54 divided by 6 and get 9 and because 54 is negative then that means your answer will be negative so I am pretty sure the answer you are looking for is 9. :)
the scale of a map says that 1 cm represents 5 km. what distance on the map (in centimeters) represents an actual distance of 45 kilometers?
Answer:
Step-by-step explanation:
1cm = 5km
?cm = 45km.
Solve by dividing 45 by 5.
If the distance is 45km, on the map this will be 9cm.
This site shows the occupations with the highest expected growth rates over the period 2014 - 2024. Which occupation is expected to grow at the highest percentage increase? Is this occupation also expected to have the largest increase in the number of jobs? Explain. (site 1)
Answer:
the healthcare practitioners; and technical occupations.
Explanation:
According to data presented on the graphs, it is reasonable to conclude that the job groups with the highest expected growth rates over the period 2014 - 2024 are the Healthcare practitioners and the technical occupations; which is said to add a total of about 2.3 million jobs.
When finding the slope, it is important to identify _____ coordinates.
A. estimated
B. exact
C. any
Answer:
b the exact coordinates
convert 4 5/6 into a decimal
Answer:
4.8333
Step-by-step explanation:
It is a repeating decimal. Hope it helps
The decimal form of the given fraction is 4.8333
What is decimal form?Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.
Given that, convert 4 5/6 into a decimal,
The given mixed fraction is =
4 5/6
Converting into fraction,
29 / 6
Dividing 29 by 6, we get,
29 / 6 = 4.833
Hence, the decimal form of the given fraction is 4.8333
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Tickets to an amusement park cost $35 for adults and $20 for children. The equation 35x+20y=140 shows how many adults x and children y can visit the amusement park with $140. If no children go, how many adults can go to the amusement park with $140?
A)7
B)5
C)4
D)2
Answer: Four adults
Step-by-step explanation: 4 x 35 = 140. There are no children, so you can just ignore 20y (I hope this helps!)
If no children will go to the amusement park then a total of 4 adults can go to the amusement park for $140. Hence, option C is correct.
What is an equation?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right is shown to be equal in reference to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations.
You can solve equations to determine an unknown variable's value, which corresponds to an unknown quantity. It is not an equation if there is no "equal to" sign in the statement.
The given equation is :
35x + 20y = 140
Cost of adults to go to the amusement park, (x) = $35 and,
Cost of children going to the amusement park, (y) = $20.
If no children are going to the amusement park, then the number of adults who can go to the park is :
35x + 20(0) = 140
35x = 140
x = 140/35
x = 4.
Hence, this concludes that option C is correct.
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