Answer:
Even function.
Step-by-step explanation:
An odd function has symmetry with respect to the origin.
[tex]\text{A function is odd }\Leftrightarrow f(-x)=-f(x)[/tex]
The sine function is an odd function:
[tex]\sin(-\theta)=\sin(\theta)[/tex]
An even function has symmetry with respect to the y-axis.
[tex]\text{A function is even}\Leftrightarrow f(-x)=f(x)[/tex]
The cosine function is an even function:
[tex]\cos(-\theta)=\cos(\theta)[/tex]
Is the function [tex]f(\theta)=2\cos(\theta)[/tex] an odd or even function?
It is an even function.
What happens in the function is a vertical stretch by a factor of 2. The y-intercept is equal to 2.
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 3x - 5 and g(x) = x+5/3 to determine if f(x) and g(x) are inverses of each other
Answer:
for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.
so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.
to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:
y = 3x - 5
solve for x:
y + 5 = 3x
x = (y + 5) / 3
swap x and y:
y = (x + 5) / 3
this is the same as g(x) which, therefore the functions are inverse of each other.
what is (8*8*8) * (8*8*8*8) in exponential form?
The exponent 7 tells us how many copies of "8" are being multiplied together.
The expression 8*8*8 is equal to 8^3, while 8*8*8*8 = 8^4
Multiplying 8^3 and 8^4 will have us add the exponents to get 8^7. The base stays at 8 the entire time.
The rule is a^b*a^c = a^(b+c) where the base is 'a' the entire time.
Answer:
8^ 7
Step-by-step explanation:
(8*8*8) * (8*8*8*8)
There are 3 8's times 4 8's
8^3 * 8^4
We know that a^b * a^c = a^ (b+c)
8 ^ ( 3+4)
8^ 7
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36
Step-by-step explanation:
of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36
Answer:
you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.
Step-by-step explanation:
Thanks!
Plz help I’ll mark brainliest
Answer:
[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]
Step-by-step explanation:
The triangle formed is a right triangle.
We can use trig functions to solve.
The maximum length of the seesaw is the length of the hypotenuse of the triangle.
sin θ = opp/hyp
Let x be the hypotenuse length.
sin 30 = 1/x
x = 1/sin30
x = 2
The maximum length of the seesaw is 2 meters.
Answer:
2
Step-by-step explanation:
Take the right triangle formed by the seesaw.
Let x be the maximum heigth that we are looking for
● sin 30° = 1/x
Switch x and sin 30°
● x = 1 /(1/2)
● x = 1 ×(2/1)
● x= 1×2
● x = 2
Find the tangent of each specified angle. Write each ratio as a fraction and as a decimal rounded to the
nearest hundredth.
Answer:
<Q= 15/36=0.42
<R= 36/15=2.4
Step-by-step explanation:
When doing trig you have to remember, "SOH CAH TOA"
Since you're looking for the tangent for angles Q and R, it would be the opposite over adjacent which is what "TOA" stands for. So, opposite of Q is 15 and adjacent to Q is 36, so you get 15/36. Opposite of R is 36 and adjacent is 15 so you get 36/15.
PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!
Answer:
hope this is ok...
1. a) f(h) = -4
b) f(h) = 4
c) f(h) = -6
d) f(h) = -8
2. a) f(h) = 5
b) f(h) = 11
c) f(h) = 3
d) f(h) = -1
3. a) f(x) = 11
b) f(x) = -5
c) f(x) = -245
d) f(x) = -89
4. f(56) = -29.35 or -29.346046
5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)
Step-by-step explanation:
1. f(h) = | h - 10 |
a) f(h) = | 6 - 10 | = -4
b) f(h) = | 14 - 10 | = 4
c) f(h) = | 4 - 10 | = -6
d) f(h) = | 2 - 10 | = -8
2. f(h) = | h - 2 |
a) f(h) = | 7 - 2 | = 5
b) f(h) = | 13 - 2 | = 11
c) f(h) = | 5 - 2 | = 3
d) f(h) = | 1 - 2 | = -1
3. f(x) = x² + 11
a) f(x) = -0² + 11 = 11
b) f(x) = -4² + 11 = -5
c) f(x) = -16² + 11 = -245
d) f(x) = -10² + 11 = -89
4. f(x) = 8√x - 31
a) f(56) = 8√56 - 31 = -29.35
5. f(x) = 2√x - 56
a) f(200) = 2√200 -56 = -41.86
Please mark Brainliest....
Answer:
The other person answer is beyond correct PLEASE mark them brainliest they REALLY deserve that o-o
which of these expressions are equivalent to p/3?
A. p-2/3
B. 1/3p
C. p-3
D. 3/p
E. 3p/p
This is assuming that p is not in the denominator. To make it more clear that p is not in the denominator, I recommend you write (1/3)p.
Taking 1/3 of a number is the same as dividing by 3.
Example:
27/3 = 9
27*(1/3) = 9
ILL MARK BRAINLIEST TO FIRST CORRECT ANSWER
Dave solved a quadratic equation. His work is shown below, with Step 111 missing.
What could Dave have written as the result from Step 111?
\begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned}
3
1
(x+4)
2
x+4
x=−16
=48
=±12
or x=8
Step 1
Step 2
Step 3
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\left(\dfrac{1}{3}x+\dfrac{4}{3}\right)^2=48(
3
1
x+
3
4
)
2
=48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, plus, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48
(Choice B)
B
\left(\dfrac{1}{3}x\right)^2+\left(\dfrac{4}{3}\right)^2=48(
3
1
x)
2
+(
3
4
)
2
=48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, right parenthesis, squared, plus, left parenthesis, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48
(Choice C)
C
(x+4)^2=144(x+4)
2
=144left parenthesis, x, plus, 4, right parenthesis, squared, equals, 144
(Choice D)
D
(x+4)^2=16(x+4)
2
=16
Answer:
C is the correct answer
Step-by-step explanation:
Which expression can be used to convert 100 USD to Japanese yen?
wo competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?
DONT ANSWER!! am i right? 20 points!
Answer:
yes
Step-by-step explanation:
Step-by-step explanation:
Hi, there!!!
It's so simple,
so, let's simply work with it;
Here, the given equation is;
4d-4 = 5d-8
so, let's take "4d" to right side and -8 to left side. we get,
-4+8 = 5d-4d
or, 4 = d
Therefore, the value of d is 4.
{here, we simply simplified to get answer}
YOU ARE ABSOLUTELY RIGHT...
Hope it helps....
$12,800 at 12% for 3 years find the total amount ?
Answer:
so first you do
12800*.12 which is 1536
so $1536 for 1 year
for 3 years multiply it by 3
1536*3=
$4608
so 4608+12800 =
17408 is totall
Mark brainliest
What is 2,871 divided by 33? A) 77 B) 83 C) 87 D) 93
Answer:
(C) 87
Step-by-step explanation:
We can use long division to solve this.
[tex]33\overline{\smash{)}#2871}[/tex]
33 goes into 287 8 times and 33 goes into 231 7 times.
So, 87.
Hope this helped!
Answer: C) 87
Step-by-step explanation:
2,871 ÷ 33 = 87
kinda stuck and would like help
Choose a number line to model the following situation:
After a gain of 25 yards, the football team lost 25 yards on the next play. (4 points)
a
A horizontal number line is shown with labels at 0 and 25. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 25 and ends at 0.
b
A horizontal number line is shown with labels at negative 25, 0, and 25. A purple arrow (labeled gain 25 yds )begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 0 and ends at negative 25.
c
A horizontal number line is shown with labels at 0, 25, and 50. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 50 and ends at 25.
d
A horizontal number line is shown with labels at 0, 25, and 50. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 25 and ends at 50.
Answer: A
Step-by-step explanation: because the number line shows a gain of 25 then a loss of 25, it represents the question showing +25 then -25. so the answer is A
Hope this helps
a - 6 - 6a = 4
find the value of a
Answer:
-2
Step-by-step explanation:
a - 6 - 6a = 4
a-6a=10
-5a=10
a=10/-5
a=-2
Answer:
a = -2
Step-by-step explanation:
Add like terms:
a - 6 - 6a = 4
-5a - 6 = 4
Solve for a:
-5a = 10
a = -2
So, a = -2
If h(x) = x2-5x + 7
find: h(2)
Answer:
h(2)= 1
Step-by-step explanation:
h(x) = x^2-5x+7
h(2) = 2^2-5*2+7
h(2)= 1
Answer:
1
Step-by-step explanation:
you have to substitute 2 were there's x in the function
h(2)=x^2-5x+7
=2^2-5(2)+7
=4-10+7
=1
I hope this helps
Sheila cuts 60 foot wire cable in equal stripes of [tex]\frac{4}{5}[/tex] of a feet each. how many strips does she make?
a) 48 b) 51 c)60 d) 70 e) 75
Answer:
e) 75
Step-by-step explanation:
Given the following :
Total length of cable = 60 foot
Length of each stripe = (4/5) of a feet
Number of stripes = ( total cable length / length of each stripe)
Number of stripes = ( 60 / (4/5))
Number of stripes = 60 ÷ 4/5
Number of stripes = (60 * (5/4)
= (60 * 5) / 4
= 300 / 4
= 75
Number of stripes made = 75
find a^4 + b^4 + c^4
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------------
Question: "Prove that a^{4} + b^{4} + c^{4} > abc(a + b + c) , where a, b, c are different positive real numbers."
------------------------------------------------------------------------------------------------------------
From the AM and GM inequality, we have:
a^4 + b^4 ≥ 2a^2b^2
b^4 + c^4 ≥ 2b^2c^2
c^4 + a^4 ≥ 2a^2c^2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
From adding the inequalities we have above and dividing by 2, we have:
a^4 + b^4 + c^4 ≥ a^2b^2 + b^2c^2 + c^2a^2......1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now we need to repeat the process of a^2b^2, b^2c^2, and c^2a^2 to get:
a^2b^2 + b^2c^2 ≥ 2b^2ac
b^2c^2 + c^2a^2 ≥ 2c^2ab
c^2a^2 + a^2b^2 ≥ 2a^2bc
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now, we add from what we have above and divide by 2 to get:
a^2b^2 + b^2c^2 + c^2a^2 ≥ (b^2ac + c^2ab + a^2bc) or abc(b + c + a).....2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So, from (1) and (2) it follows:
a^4 + b^4 + c^4 ≥ abc( a + b + c)
Answer:
0.5
Step-by-step explanation:
a+b+c=0—(1)
a2+b2+c2=1—(2)
We know that:
(a+b+c)2=a2+b2+c2+2ab+2bc+2ca—(3)
Substituting (1) and (2) in (3) , 0=1+2(ab+bc+ca)
=>ab+bc+ca=−0.5—(4)
Squaring: (ab+bc+ca)2=0.25
=>a2b2+b2c2+c2a2+2ab2c+2bc2a+2a2bc=0.25
=>a2b2+b2c2+c2a2+2abc(a+b+c)=0.25
Since a+b+c=0 ,
a2b2+b2c2+c2a2=0.25—(4)
squaring (2) :
(a2+b2+c2)2=12
=>a4+b4+c4+2a2b2+2b2c2+2c2a2=1
=>a4+b4+c4+2(a2b2+b2c2+c2a2)=1—(5)
Substituting (4) in (5),
a4+b4+c4+2(0.25)=1
=>a4+b4+c4=0.5
Hope this helps :D
If you're good at angles of depression please help meeeeee and show full working out tyyyyyyyyyy
Answer:
236.9 m
Step-by-step explanation:
Let x and y represent the distances to the near and far cars, respectively. You know from the definition of the tangent of an angle that ...
tan(angle of depression) = building height/distance to car
tan(10°39') = 150/x
x = 150/tan(10°39')
and
tan(8°15') = 150/y
y = 150/tan(8°15')
The difference of these two distances is the distance between the cars:
y - x = 150/tan(8°15') -150/tan(10°39')
__
The minutes of arc can be converted to fractional degrees:
15' = 15'/(60'/1°) = (15/60)° = 0.25°
39' = 39'/(60'/1°) = (39/60)° = (13/20)° = 0.65°
So, the distance of interest is ...
distance between cars = (150 m)(1/tan(8.25°) -1/tan(10.65°)) ≈ 236.86 m
The cars are about 236.9 meters apart.
Plzz help I’ll mark brainliest
Answer:
c
Step-by-step explanation:
the correct answer is c
plz mark me brainliest
Please Help ;-;" :Mr. Gordon’s science class is studying blood types. The table below shows the probability that a person living in the US has a particular blood type. ( Type 0=9/20) (Type A=41/100) (Type B=1/10) (Type AB=1/25) What is the probability that three students selected randomly from the class will have A, B, and AB blood, respectively? Explain how you would solve this problem.
Answer:
A = 6.9%
B = 0.1%
AB = 1.6%
Step-by-step explanation:
A=0.41=41/100
B=0.1=1/10
AB=0.25=1/25
41/100³ = 0.41³ = 0.069 = 6.9%
1/10³ = 0.1³ = 0.001 = 0.1%
1/25³= 0.25³ =0.016 = 1.6%
I did to the power of 3 because the equation just looks like this
41/100 x 41/100 x 4/100
this is because you are multiplying each number by the amount of students selected.
Determine the graph transformation....
Answer:
I think its b
Step-by-step explanation:
A pantry contains 6 shelves each 42 inches long.
The shelves are to be relined with fresh paper.
The paper is sold in 1-yard rolls. The number
of 1-yard rolls needed is:
Answer:
7 1-yard rolls
Step-by-step explanation:
1 yard = 36 inches.
6(42 in) = 252 inches.
252 in/36 in = 7
Therefore, 7 1-yard rolls are needed.
The number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7.
Given,
A pantry contains 6 shelves.
Each shelves = 42 inches long.
The shelves are to be relined with fresh paper.
The paper is sold in 1-yard rolls.
We need to find the number of 1-yards rolls needed to sell 6 shelves.
How many inches is 1yards?1 yard = 36 inches.
We have,
6 shelves and each shelves is 42 inches.
1 shelves = 42 inches.
6 shelves = 6 x 42 inches
6 shelves = 252 inches.
And since,
36 inches = 1 yard
252 inches = (252/36) yard
252 inches = 7 yard
Thus the number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7 1-yard rolls.
Learn more about unit conversion here:
https://brainly.com/question/16209700
#SPJ2
PLEASE HELP PLEASE WILL MARK BRAINLY
Answer:
16,20,8,36
Step-by-step explanation:
he plans to have 2 tables for every 8 guest, which means 1 table for each 4 guest!
now:
2(tables)×4(number of people at each table)=8(number of guests
4×4=16
5×4=20
32(number of guests)÷4(number of people at each table)=8(number of tables)
9×4= 36
Answer:
Since there are 8 guests every 2 table we need to find how many guests are in one table:
8 ÷ 2 = 4 guests
4 tables = 4 x 4 = 16 guests
5 tables = 5 x 4 = 20 guests
32 guests = 32 ÷ 4 = 8 tables
9 tables = 9 x 4 = 36 guests
Hope this helps :D
50 points pls help. question down below explaination is option but with if u want brainlist u know
Answer:
10/13, 2/3, 7/11, 3/5, 5/9
Step-by-step explanation:
5/9 , 7/11, 3/5, 2/3, 10/13
Changing to decimal form
.5555(repeating), .636363(repeating), .6 , .666(repeating) ,.769230769
The largest is 10/13
Then 2/3
Then 7/11
Then 3/5
The smallest is 5/9
Answer:
111
Step-by-step explanation:
111
Raj and Carlos are reading. Carlos reads a chapter in 444 minutes, which is 333 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?
Answer:
777 minutes
Step-by-step explanation:
Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj
444+ 333 = 777
GUYS PLEASE HELP WILL MARK BRAINLIEST
Answer:
17 in²
Step-by-step explanation:
We can break this figure into two smaller and easier figures:
The top figure (which has side lengths of 3 and 5), and the bottom figure (with sides of 1 and 2.)
Let's find the area of the top figure first. The width is 4 and the length is 5 so:
[tex]3\cdot5=15[/tex] in².
The bottom figure has a length of 2 and a width of 1. So:
[tex]2\cdot1=2[/tex] in².
Now we add these two:
[tex]15+2=17[/tex] in².
Hope this helped!
Answer:
17 square inches
Step-by-step explanation:
We cut the shape in to two bits to make it easier.
5 x 3 = 15 inches
2 x 1 = 2 inches
Now we add these together:
17 square inches.
I know I answered wrong in my first attempt but now I understand the question.
Hope this helps :D
Describe the end behavior of the graph of f(x) = x^3 (x + 3)(-5x + 1) using limits.
Answer: Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
There is a good video called "Describing End Behavior Using Limit Notation" by Mario's Math Tutoring, and it helps to show you how to find the end behavior with limits.
A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 4x − 3 and EC = 2x + 6, find the distance between the top and bottom of the bridge, in feet.
Answer:
Total distance = 30 m
Step-by-step explanation:
Given:
AC : EC = 1:1
AC = 4x − 3 and EC = 2x + 6
Find:
Total distance
Computation:
AC = EC
So,
4x - 3 = 2x + 6
2x = 9
x = 4.5
AC = 4(4.5) - 3 = 15 m
EC = 2(4.5) + 6 = 15 m
Total distance = AC + EC
Total distance = 15 m + 15 m
Total distance = 30 m
The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m
Given that a new bridge structure requires triangles that are in a ratio of 1:1 with the following parameters
AC = 4x - 3
EC = 2x + 6
Since the measure are in the same ratio, henec;
AC = EC
4x - 3 = 2x + 6
4x - 2x = 6 + 3
2x = 9
x = 4.5
Get the
AC = EC = 4x - 3
AC = EC = 4(4.5) - 3 = 15feet
The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m\
Learn more here: https://brainly.com/question/17247176
Directions: Calculate the percent increase or decrease between the starting and ending
quantities below. Round your answer to one decimal place.
1. Start: 3
End: 10
2. Start: 9
End: 20
3. Start: 100
End: 85
4. Start: 45
End: 20
5. Start: 30
End: 60
I'll do the first two to get you started
===============================================
Problem 1
A = 3 = starting value
B = 10 = ending value
C = percent change
C = [ (B - A)/A ] * 100%
C = [ (10-3)/3 ] * 100%
C = (7/3) * 100%
C = 2.3333333 * 100%
C = 233.33333%
C = 233.3%
The positive C value means we have a percent increase. If C was negative, then we'd have a percent decrease.
Answer: 233.3% increase===============================================
Problem 2
A = 9 = start value
B = 20 = end value
C = percent change
C = [ (B - A)/A ] * 100%
C = [ (20-9)/9 ] * 100%
C = (11/9)*100%
C = 1.2222222222*100%
C = 122.22222222%
C = 122.2%
Answer: 122.2% increase