Answer:
it is a function
Step-by-step explanation:
Answer:
Since there is one value of y for every value of x in ( − 4, 5 ), ( 1, − 1 ), ( 2, − 2), this relation is a function.
The relation is a function.
Hope this helps (●'◡'●)
Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 EndFraction use an appropriate identity to find the value of cot(t).
Answer:
[tex]\bold{cot(t) =\dfrac{12}{5}}[/tex]
Step-by-step explanation:
Given that:
[tex]Cosec (t) = -\frac{13}5[/tex]
for [tex]\pi < t < \frac{3 \pi}2[/tex]
That means, angle [tex]t[/tex] is in the 3rd quadrant.
To find:
Value of cot(t)
Solution:
First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.
In 3rd quadrant, tangent and cotangent are positive.
All other trigonometric ratios are negative.
Let us have a look at the following identity:
[tex]cosec^2\theta -cot^2\theta =1[/tex]
here, [tex]\theta =t[/tex]
So, [tex]cosec^2t-cot^2t=1[/tex]
[tex]\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}[/tex]
But, angle [tex]t[/tex] is in 3rd quadrant, so value of
[tex]\bold{cot(t) =\dfrac{12}{5}}[/tex]
Answer:
12/5
Step-by-step explanation:
The New Horizons space probe passed the moon 8 hours and 35 minutes after launch. Write this number as a fraction and reduce. Choose the correct answer. Use 60 as your denominator, not 100, because there are 60 minutes in one hour. A. 9 3/7 hours B. 8 hours C. 8 1/2 hours D. 8 7/12 hours
Answer:
D
Step-by-step explanation:
8 hours and 35 minutes can be rewritten as the mixed fraction 8 35/60.
You can reduce this fraction by dividing the numerator and denominator by 5.
35/5 = 7
60/5 = 12
So, 35/60 = 7/12
Now add 8 to your reduced fraction.
8 + 7/12 = 8 7/12
Hope this helped!
What are the factors of x2 − 64? Prime (x − 4)(x + 16) (x − 8)(x − 8) (x + 8)(x − 8)
[tex] {x}^{2} - {8}^{2} [/tex]
[tex](x - 8)(x + 8)[/tex]
What is the domain of the function y=x/x?
Answer:
-infinity < x < +infinity
Step-by-step explanation:
the domain of a cube root function is the set of all real numbers. unlike a square root function which is limited to non-negative numbers, a cube root can use all real numbers because it is possible for three negatives to equal a negative.
Answer:
A
Step-by-step explanation:
Edge 2021
hello, please help!! Thank you
I gave steps in the picture how to solve it was much easier to write it out then type it. hope this helps!
What is the value of x in the equation 4x - 2(x+3) = 8
Answer:
x=7
Step-by-step explanation:
4x-2(x+3)=8
4x-2x-6=8
2x-6+6=8+6
2x=14
x=7
Proof:
4x-2(x+3)=8
4(7)-2(7+3)=8
28-14-6=8
14-6=8
8=8
Hope this helps ;) ❤❤❤
The value of x in the equation 4x - 2(x+3) = 8 is 7.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We need to find the value of x in the equation 4x - 2(x+3) = 8
4x-2(x+3)=8
4x-2x-6=8
2x-6+6=8+6
2x=14
x=7
Proof: 4x-2(x+3)=8
4(7)-2(7+3)=8
28-14-6=8
14-6=8
8=8
Hence, the value of x in the equation 4x - 2(x+3) = 8 is 7.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
need help due soon thx
Answer:
Step-by-step explanation:
Let x=0.121212.....
100x=12.121212...
100x-x=12.12121212...-0.121212...
99x=12
x=12/99
so 0.121212... is equal to 12/99
Hope this helps!! :)
Step-by-step explanation:
mark as brainlist
leave a like
10 fewer than a number t
Answer:
t-10
Step-by-step explanation:
fewer than means it comes after
t-10
Answer:
it's t -10
Step-by-step explanation:
One of the fractions is a Repeating decimal the other one is terminated which one is which without dividing how can you tell 1/11 9/100
Answer:
1/11 is a repeating decimal
9/100 is a terminated decimal
Step-by-step explanation:
Properties of the fractional part of 100 can be determined as percentages. Using this, we can see that 9/100 will result in .09 or 9%.
Properties of the fractional part of 11 can be seen to be a non-divisible number resulting in a repeating decimal equivalent. So, 1/11 will result in .090909 ad infinitum.
Note, that odd divisors that are not multiples of 5, typically will result in a repeating decimal.
Cheers.
What is the value of the expression 3y−zy+5z when y = 6 and z = 2? 1. 1 2. 3 3. 4 4. 16 There is a pic too plz help...fast!!!!
Answer:
The answer is 1Step-by-step explanation:
[tex] \frac{3y - z}{y + 5z} [/tex]
To find the value of the expression when
y = 6 and when z = 2 , substitute the values into the above formula and solve.
That's
[tex] \frac{3(6) - 2}{6 + 5(2)} \\ = \frac{18 - 2}{6 + 10} \\ \frac{16}{16} [/tex]
We have the final answer as
1Hope this helps you
Answer:
[tex]\Huge \boxed{1}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{3y-z}{y+5z}[/tex]
Let y = 6 and z = 2.
[tex]\Rightarrow \displaystyle \frac{3(6)-2}{6+5(2)}[/tex]
Evaluate the expression.
[tex]\Rightarrow \displaystyle \frac{18-2}{6+10}[/tex]
[tex]\Rightarrow \displaystyle \frac{16}{16}[/tex]
[tex]\Rightarrow 1[/tex]
The value of the expression when y = 6 and z = 2 is 1.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
c.
Step-by-step explanation:
Orville and Wilbur Wright made the first airplane flights in 1903.
Answer:
True
Step-by-step explanation:
On December 17, 1903, Wilbur and Orville Wright made four brief flights at Kitty Hawk with their first powered aircraft. The Wright brothers had invented the first successful airplane. The Wrights used this stopwatch to time the Kitty Hawk flights.
Answer:
yes
Step-by-step explanation:
10 times 0.63 repeating
Answer:
6.36363
Step-by-step explanation:
Answer:
6.36 repeating
Step-by-step explanation:
10 x 0.63 repeating
When you multiply ten by any number, you move the decimal to the right one place value.
0.6363...
6.3636...
So the answer is 6.36 repeating.
The journey of a car travelling towards
Perth, Australia, can be expressed by the
relation d=-75t + 275, where d is the
distance from Perth in km and t is driving
time in hours.
a Is this relation a function? Justify your
answer.
b Rewrite the equation in functional
notation.
At the start of the journey, how far was
the car from Perth?
С
d What values of I do not make sense for
this situation?
Answer:
a. The given equation is d = -75·t + 275 is a function
b. f(t) = -75·t + 275
c. 275 km
d. The situation does not makes sense for t > 11/2 hours.
Step-by-step explanation:
a. Given that a relation is a functional relation if for each input of a member in the relation, there is only one output for the other member, therefore;
The given equation is d = -75·t + 275 is a function
As when t = 1, d = 200 km
b. The equation written in functional notation, f(t) is f(t) = -75·t + 275
c. At the start of the journey, t = 0
Therefore;
f(0) = -75×0 + 275 = 275 km
d. The values of t that do no make sense in the function are given as follows
0 = -75×t + 275
t = 275/75 = 11/3 = 3.67 hours
For times above 3.67, the distance becomes negative
Therefore, the situation does not makes sense for t > 11/2 hours.
The age of Tony and Vihaan are in the ratio of 8:7. Six years later, their ages will be in the ratio 10:9. Find their ages.
Answer:
24 and 21
Step-by-step explanation:
the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )
In 6 years
8x + 6 : 7x + 6 = 10 : 9
Express the ratio in fractional form
[tex]\frac{8x+6}{7x+6}[/tex] = [tex]\frac{10}{9}[/tex] ( cross- multiply )
9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides
72x + 54 = 70x + 60 ( subtract 70x from both sides )
2x + 54 = 60 ( subtract 54 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus
Tony = 8x = 8 × 3 = 24
Vihaan = 7x = 7 × 3 = 21
Answer:
Tanay's age = 24yrs
Vihaan's age = 21yrs
Step-by-step explanation:
let the ages of tanay and vihaan be8x,7x
After 6yrs tanay's age=8x+6
vihaan's age=7x+6
a/q=8x+6/7x+6=10/9
=9(8x+6)=10(7x+6)
=72x+54x=70x+60
72x-70x=60-54
2x=6
x=3
tanay's age=8×3=24yrs
vihaan's age=7×3=21yrs
hope this helps you friend
awnser these questions
Answer:
Problem 2:
4x - 20 = 4
4x = 24
x = 6
Step-by-step explanation:
65347457467+4609800=?
Answer:
65,352,067,267
i dont know what else to say.
Hello
f(x) = -3x2 – 20
Find f(-7)
Answer:
Step-by-step explanation:
f(-7)= -3(-7)^2 - 20
f(-7) = -3(49) - 20
= -147 - 20 = -167
1. One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this value to
determine the number of people that would fit in a room that is 216 in x 360in.
Answer:
216 people
Step-by-step explanation:
Given:
2.5 feet² is occupied by 1 person
Dimension of room = 216 in × 360 in
Required:
No. of people that would occupy the room
SOLUTION:
Step 1:
Convert the dimensions of the room from in to ft
Note: 1 foot = 12 inches
216 inches = [tex] \frac{216}{12} = 18 ft [/tex]
360 inches = [tex] \frac{360}{12} = 30 ft [/tex]
Step 2: calculate area of the room.
Area of the room = 30*18 = 540 ft²
Step 3: calculate the no. of people the room will contain.
2.5 ft² will contain one person
Therefore, 540 ft² will contain: [tex] \frac{540}{2.5} = 216 people [/tex]
Using a sheet of graph paper, solve the following system of equations graphically. x+y=0 x-y+2=0
Answer:
(-1, 1)
Step-by-step explanation:
I used a graphing tool to graph the two lines. When graphed, the lines intercept at point (-1,1). Therefore, it is the solution to the system of equations.
Hope this helps.
Need to find the angles of <1 and <2.
Answer:
1< and 2< are equal to 125
Step-by-step explanation:
The angle of a straight line is 180, so it would be 180° minus 55°, and that equals to 125°
If f(x)=2x+5, then what is f(3)?
Answer:
[tex]\Large \boxed{f(3)=11}[/tex]
Step-by-step explanation:
[tex]f(x)=2x+5[/tex]
For f(3), the input for the function f(x) is 3.
Let x (input) = 3.
[tex]f(3)=2(3)+5 \\\\ f(3)=6+5 \\\\ f(3)=11[/tex]
Answer:
11
Step-by-step explanation:
f(x)=2x+5
Let x = 3
f(3) = 2*3+5
= 6+5
= 11
PLEASE HELP ILL MARK U THE BRAINLIEST IT IS URGENT AND ITS GEOMETRY DONT WASTE ANSWERS PLEASE
Answer:
∠Q = ∠U = 60°
Step-by-step explanation:
Construct the figure QSUT with your own dimensions as long as QR ≅ RU and SR ≅ RT , where R is the common midpoint.
I choose QR = 4 cm and SR = 5 cm
Then measure ∠Q and ∠U to check if they are equal.
I got that ∠Q = ∠U = 60° proving that;
∠Q ≅ ∠U
an archer shoots an arrow into the air. The equationfor the height of the arrow in metres is (h) over time (t) in secondsis given by the equation: h= -2t^2+6t + 1 find the maximum height of the arrow? find the time for the arrow to reach that height please answer properly and not randomly thankyou.
Answer:−2=x that’s the answer
values of x in simplest form.
9 – 4|3 + 5x| = 5
Answer:
x=4/5
Step-by-step explanation:
9 - |12-20x| = 5
=>-|12-20x|= 5-9
=>-|12-20x|=-4
=>12-20x=-4
=>-20x=-4-12
=>-20x=-16
=>x=16/20
=>x=4/5
when you reverse the digits of a certain two-digit number you decrease its value by 45. What is the number if the sum of its digits is 5
Answer:
The number is 50.
Step-by-step explanation:
We need to understand the problem and convert it into a mathematical equation, or a series of equations. That way, we can solve them with ease.
The first thing we can do is to assign variables to represent the values that we do not know.
Let us assign the first number to be = x and the second number to be = y.
Important!
At this point, we must put their place values into consideration.
Since we are dealing with a two-digit number, we only have tens and units.
We will account for the place values of the variables assigned (x and y) by multiplying them by 10 and 1
x is the tens place value. To occupy this place value, it will become 10x
y is the unit place value. To occupy this place value, it will become 1 X y = y
This means that the original number is of the format x y
To convert this to an equation, it will become 10 (x) + y
Once the number order is reversed we will have 10 (x) + y = 10(y) + x - 45
grouping like terms
10x-x - 10y +y = - 45
9x -9y = - 45
From the second statement, we also have that x + y = 5
hence we have two equations x + y = 5 ---------- equation 1
9x -9y = - 45 ------------ equation 2
solving simultaneously, we have that the two numbers are 0 and 5
The number therefore, is 50
x = 5 and y = 0
Jayden walked a total of 12x+5r-8 miles on Monday and Tuesday. If he walked 7x-10r miles on Monday, how
many miles did he walk on Tuesday?
Answer: Jayden walked 8 miles on Tuesday
Step-by-step explanation:
Find the common difference and the next three terms of the arithmetic sequence. 1/4,1/2,3/4,1,5/4
Hi there! :)
Answer:
[tex]\large\boxed {\frac{1}{4}}[/tex] Common difference
[tex]\large\boxed{\frac{3}{2}, \frac{7}{4}, 2}[/tex] Next three terms
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find the common difference by subtracting the previous term from a term. We can use the terms 1/4 and 1/2:
Convert 1/2 into a fraction over 4:
1/2 · 2/2 = 2/4
Find the common difference by subtracting the fractions:
2/4 - 1/4 = 1/4. This is the common difference.
Find the next 3 terms by adding 1/4:
5/4 + 1/4 = 6/4 (Reduce fraction) = 3/2
6/4 + 1/4 = 7/4
7/4 + 1/4 = 8/4 (Reduce fraction)
Therefore, the next 3 terms are 3/2, 7/4 and 2.
Calculate the area of the shaded region. Use 3.14 for pi; round to the nearest tenth, if needed. HELP PLSSS I HAVE TO GET THIS DONE SOON!
Answer:
87.48
Step-by-step explanation:
First find the area of the square
12^2=144
find area of the 2 circles
9*3.14
but theres 2
18*3.14=56.52
144-56.52=87.48
HELPP!!! 20 POINTTS
Given the following Venn diagram, choose the correct set for the following:
Answer:
2,3,5,6,8,9 (i think)
Step-by-step explanation:
Answer:
2,3,5,6,8,9
Step-by-step explanation: