Answer:
Period is [tex]\frac{\pi}{2}[/tex]
Step-by-step explanation:
For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].
Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].
What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.
PLEASE HELP. URGENT!
Determine the equation of a line in slope, y-intercept form, that has a slope of -2/5 and passes through the point (-5,7)
Answer:
y = -2/5x + 5
Step-by-step explanation:
y = -2/5x + b
7 = -2/5(-5) + b
7 = 2 + b
5 = b
Use the expression 5(6 + 4x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points)
Answer:
6 and 4
Step-by-step explanation:
Answer:
Part A: 4 and x are factors of 4x
Part B: 6 and 4
Part C: 4
Step-by-step explanation:
15.
Which of the following equations has a graph that crosses the y-axis at a point lower than the graph of y=-2x^2-1?
A. y=-3x^2+3
B. y=-3x^2+1
C. y=3x^2-3
D. y=-3x^2-1
Answer:
C. y=3x^2-3
Step-by-step explanation:
y=3x^2-3 is lower than y=2x^2-1
So C.y=3x^2-3
The answer would be : C. -3x^2-3.
Hope this helps !
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct?
Answer:
Helena is correct.
Step-by-step explanation:
The slope intersept form of the line is
y = m x + c
where, m is the slope and c is the intersept.
The point slope form of the equation is
[tex]y - y'= \frac{y''-y'}{x''-x'}\times (x-x')[/tex]
So, if there are two points are given, the equation of line is found by the point slope form.
So, Helena is correct.
I SUCK AT MATH. HELP!!!
Sin P= 2/30
Sin of P simply means take the side opposite of angle P, and divide it by the hypotenuse (the long diagonal one.)
Sin= O/H
Cos= A/H
Tan= O/A
PLEASE HELP!
*multiple choice*
List the sides in order from shortest to longest.
Answer:
I think it's a
I'm not that sure tho
Calculate the measure of angle D:
Answer:
The answer is 32
Step-by-step explanation:
A right triangle has a total of 180 degrees. As they give you 58 degrees and 90 degree, you just do 180 degrees - 58 degrees - 90 degrees.
Answer: 32
Step-by-step explanation:
Subtract the angle 58 and 90 since it is a right angle
PLEASE HELP!! this is due soon and i rlly need help
explanation = brainliest
The radius of a circle is 3 kilometers. What is the area of a sector bounded by a 90° arc?
give the exact answer in simplest form.
Answer:
Step-by-step explanation:
r = 3 km
Ф = 90°
Area of a sector = [tex]\frac{theta}{360}*\pi *r^{2}[/tex]
[tex]= \frac{90}{360}* 3.14 * 3 * 3\\\\= \frac{3.14*3*3}{4}\\[/tex]
= 7.065 sq.km
Answer:
Solution given:
r=3km
area of sector bounded by a 90° arc=90°/360°*πr²
=¼*π*3²
=9/4 π or 7.068km²
is a required answer
I need help finding the slope
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-1}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1
hi pls help me out with this
what is the result of adding -2.9a t 6.8 and 4.4a - 7.3 if a=2 what is the value of the expression
Answer:
Step-by-step explanation:
2.5
Find the total surface area of this prism where the cross section is an isosceles triangle 5cm, 13cm, 24cm, 10cm
Answer: 620 cm2
Step-by-step explanation:
The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is: B = 24 * 10 = 240 cm2
The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is: C = 24 * 5 / 2 = 60 cm2
The sides are rectangles with 10 cm x 13 cm, so their area is: D = 10 * 13 = 130 cm2
The total surface area is: S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2
Simplify the expression below: (3k2 – 2k + 5) - (2k2 – 5k + 1)
Answer:
(3k² - 2k + 5) - (2k² - 5k + 1)
k² + 3k + 4 is the answer in simplify this expression
What is the surface area of the cylinder with height 7 cm and radius 3 cm? Round your answer to the nearest thousandth.
Answer:
188.52cm^2
Step-by-step explanation:
Given data
Height= 7cm
Radius= 3cm
The expression for the surface area of a cylinder is given as
Surface area= 2πr (h + r)
Surface area= 2*π*3 (7 + 3)
Surface area = 6π (10)
Surface area= 60*3.142
Surface area= 188.52cm^2
Hence the surface area is 188.52cm^2
determine whether the relation represents a function
16.{(-3,2). (-2, 2), (1,2). (-3.1). (0.3}}
Answer:
No, it's not a function
Step-by-step explanation:
In a function each input has one and only one output
Here an input of -3 has two outputs 2 and 1
Find the volume, in cm?, of a right circular cylinder with radius 10 cm and height 14 cm.
A. 9600x cm3
O
B. 19601 cm3
C. 14001 cm
D. 3501 cm
o
E. 140 cm
Factor completely . 121 - x ^ 2
Answer: Since both terms are perfect squares, factor using the difference of squares formula,
a 2 − b 2 = ( a + b ) ( a − b) where a = 11 and b = x . ( 11+x) (11-x)
Find the final price of a $849.99
laptop with 6% sales tax.
Answer:
$900.9
Step-by-step explanation:
Find the final price of a $849.99
laptop with 6% sales tax.
Given data
Price= $849.99
Tax = 6%
Let us find the amount of the tax
=6/100*849.99
=0.06*849.99
=$50.9994
Now the final price is
=50.9994+849.99
=$900.9
PLZ HELP IF RIGHT THEN YOU'LL GET BRAINLIEST
One year, the population of a city was 346,000. Several years later it was 339,080. Find the percent decrease.
Answer:
2% decrease
Step-by-step explanation:
Steps to find percent decrease:
- Subtract starting value minus final value
- Divide that amount by the absolute value of the starting value
- Multiply by 100 to get percent decrease
(a) An angle measures 29°. What is the measure of its supplement?
(b) An angle measures 42°. What is the measure of its complement?
what is the factor of 3x^+9x-12
Answer:
Hi, there your answer will be 3(x−1)(x+4)
Step-by-step explanation:
Helppppppp please ASAP
simplify the expression below. Express the simplified expression in standard form (12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)
====================================================
Work Shown:
(12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)
12s^4-6s^2+4s+6s^4-4s+27-4s^4-s^2-12
(12s^4+6s^4-4s^4)+(-6s^2-s^2)+(4s-4s)+(27-12)
14s^4-7s^2+0s+15
14s^4-7s^2+15
Note: don't forget to distribute the negative to every term in the last parenthesis
f(x) = x² , g(x) = x+1 find gof (2) , fog (2)
Answer:
Explanation:
Hey there!
Here;
f(X) = x²
and g(X) = X+1
To find: gof (2) and fog (2)
For gof (2),
gof = g{f(X)}
= g (x²)
= x²+1
Then;
gof(2) = 2²+1
= 4+1
= 5
Therefore, gof (2) is 5.
For fog(2),
fog (X) = f{g(X)}
= f(X+1)
= (x+1)²
= x²+2x+1
= x²+2x +1
Then;
fog(2) = 2²+2*2+1
= 4+4+1
= 9
Therefore, fog(2) = 9.
Hope it helps!
Find the distance between the two points in simplest radical form.
(7,-1) and (9,-9)
Answer:
[tex]\sqrt{68}[/tex]
Step-by-step explanation:
(7 , -1) = (x1 , y1)
(9 , -9) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]
=[tex]\sqrt{2^2 + (-9 + 1)^2}[/tex]
=[tex]\sqrt{4 + (-8)^2}[/tex]
=[tex]\sqrt{4 + 64}[/tex]
=[tex]\sqrt{68}[/tex]
Answer:
[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]
Step-by-step explanation:
[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]
[tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]
At a sale on winter clothing, Cody bought four pairs of gloves and four hats for $36.00. Tori bought three pairs of gloves and four hats for $31.00. What were the prices for the gloves and hats?
Answer:
gloves cost $5
hats cost $4
Step-by-step explanation:
four pairs of gloves and four hats for $36.00
4g + 4h = 36
three pairs of gloves and four hats for $31.00
3g + 4h = 31
-------------------------
Subtract the second equation from the first
4g + 4h = 36
-( 3g + 4h = 31 )
––––––––––––
g = 5
gloves cost $5
substitute for g = 5 into either equation
4(5) + 4h = 36
20 + 4h = 36
Subtract 20 from both sides
4h = 16
Divide both sides by 4
h = 4
hats cost $4
Discover the rate of change (slope) of these two points. (-4, 5) and (5,-4).
Answer:-1
Step-by-step explanation:
slope = y2-y1/x2-x1
Plug in all the values
-4-5/5+4
-9/9
= -1
Maria tutors history. For each hour that she tutors, she earns 20 dollars. Her earnings, E (in dollars), after tutoring for h hours is given by the following.
E=20h
How much does Maria earn if she tutors for 5 hours?
Answer:
Maria earns 100 dollars
E=100
Step-by-step explanation:
if E=20h and they want to know how much Maria will make in 5 hours substitute the h for 5. 20 x 5 =100
E=100
Answer:
100
Step-by-step explanation:
The equation is E=20h
E is the amount she earns.
20 is the amount of money she earns per hour.
h is the amount of hours she worked.
She worked 5 hours. h represents hours so plug in 5 where h is in the equation.
E=20h
E=20(5)
E= 20×5
E=100
Comparing Perimeter and Area
Compare the perimeter and area of the original figure to
the perimeter and area of the reduced figure using the
scale factor
Which statements are true about the comparison
between the two figures? Check all that apply.
The scale factor is 2.
The scale factor is
2.
6
The perimeter of the model is the product of the
scale factor and the perimeter of the original
rectangle
The area of the reduced figure is half the area of
the original figure
1
The area of the reduced figure is
times the
3
area of the original figure,
Intro
Done
Which statement is true?
Answer:
I believe it is the 3rd one down
Step-by-step explanation:
Because the two angles make an angle of 180, supplementary angles make one angle of 180 and it says that 2 and 3 are alike because they make a supplementary angle and there is a line dividing them that looks like both angles = 90 degrees
