Answer:
y - x + 8 = 0
Step-by-step explanation:
divide all sides by 4
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Find the Cartesian equation of the curve with parametric equations x = 2 sec(t) and y = 3 tan(t) for t ∈ π/2 , 3π/2, and describe the curve.
Answer:
4y^2 - 9x^2 = -36
Step-by-step explanation:
x = 2 sec t
y = 3 tan t
x^2 = 4 sec^2 t
y^2 = 9 tan^2 t
Now sec^2t = 1 + tan^2 t so we have:
4(1 + tan^2 t) + 9 tan^2 t = x^2 + y^2
4 + 13 tan^2 t = x^2 + y^2
13 tan^2 t = x^2 + y^2/ - 4
tan^2 t = x^2/13 + y^2/13 - 4/13
But , from the second equation tan t = y/3 so tan^2 t = y^2/9, so:
y^2/9 = x^2/13 + y^2/13 - 4/13
LCM of 9 and 13 is 117 so multiply thru by 117:
13y^2 = 9y^2 + 9x^2- 36
4y^2 - 9x^2 = -36
What is the slope of the line that goes through
(2,-2) and (-1, 1)?
Answer:
m = -1
Step-by-step explanation:
use the slope formula so m = 1- -2 / -1 - 2
m = 1+2/-3, m=3/-3 so m = -1
In the opening credits of each episode of
the TV show Fawlty Towers, the sign on the
front of the hotel rearranged the letters in
the hotel's name.
a) How many arrangements are there of all
the letters in FAWLTY TOWERS?
b) How many arrangements of these letters
are possible if the A, Y, O, and E must
remain in their original order?
Jason is a skilled rapper. He has already rapped a 40-word intro to a song and continues to rap 5 words per second.
Write an inequality to determine how many more seconds tt he will rap to complete the song if the total song, including the intro, is at least 500 words.
Answer:
5[tex]t[/tex] + 40 ≤ 500
Step-by-step explanation:
Jason can rap 5 words per second
5t
He can already rap 40 words into the song
40
There are 500 words to the whole song
500
5[tex]t[/tex] + 40 ≤ 500
The inequality to determine how many more seconds t he will rap to complete the song if the total song, 5t+ 40 ≥500.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Jason can rap 5 words per second
let 't' be the time Jason rap then number of words he rap after t seconds 5t.
and, He can already rap 40 words into the song
Also, the whole sing contains 500 words.
Then, the inequality is
5t+ 40 ≥500.
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FIND ANGLE OF DEPRESSION. PLS HELP. AND ANSWER IF YOU FOR REAL KNOW HOW TO ANSWER THIS. WILL MARK U A BRAINLEST IF ITS RIGHT
The eight-digit number ppppqqqq, where p and q are digits, is a multiple
of 45. What are the possible values of the eight-digit number? multiples
Answer:
There are two possible numbers: 99 990 000 and 44 445 555
Step-by-step explanation:
The multiples of 45 are 5 and 9
There are two possible numbers: 99 990 000 and 44 445 555.
What will be the two numbers?
Numbers are the numerical values like 1,2,3 etc.It is given that The eight-digit number ppppqqqq, where p and q are digits, is a multiple of 45.
Every multiple of 45 is a multiple of both 5 and 9 here P and Q are single-digit integers.
By using the rules of divisibility we can see that if q=0 or q =5 so 4P+4q is a multiple of 9.
If q=0 4P is a multiple of 9 P=9
If q =5 ( 4p + 5 ) is a multiple of 9
Hence p + 5 = 9 and p =4
Therefore there are two possible numbers: 99 990 000 and 44 445 555.
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which of the following expression equal 44 / 100
Answer:
Where are the following expressions?
Step-by-step explanation:
Find the the value of x
Please help giving branliests to first answer
Answer:
I guess the answer is x=0.2/45
can someone please help me with this, I did it and I got 54 the answer, but 54 isn't an answer choice
Matt spins the spinner above 400 times and it lands on six 43 times. How many times out of the 400 spins would you predict spinner to land on six.
Answer:
50 times
Step-by-step explanation:
Given that:
Number of spins = 400
Sample space = (1, 2, 3, 4, 5, 6, 7, 8)
Probabililtybof landing on 6 on a single spin :
Probability = required outcome / Total possible outcomes
P(landing on a six) = 1/ 8
Probability of landing on a 6 in 400 spins :
1/8 * 400 = 50 times
PLS HELP it’s due today. Khan academy. One question. I’m struggling.
Answer:
132 square units
Step-by-step explanation:
We are to find the surface area of a square pyramid.
From the diagram above, we are given:
Slant height = 6 units
Base = 8 units
The formula is given as:
= 2bs + b²
= 2 × 8 × 6 + 6²
= 96 + 36
= 132 square units
A point is chosen at random on AK what is the probability that the point will be in CG
Answer:
The answer would be 2/5
Step-by-step explanation:
Fill in 2 as numerator then 5 as denominator.
(You welcome)
Please help!!!!!!!!!!!!
Answer:
[tex]40\frac{5}{8}mm^2[/tex]
Step-by-step explanation:
To find the area of a triangle, one must use the formula,
[tex]\frac{base*height}{2}[/tex]
It is given that
- base = [tex]9\frac{3}{4}[/tex]
-height = [tex]8\frac{1}{3}[/tex]
Substitute in the values and solve;
[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]
In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;
- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]
- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]
Substitute,
[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]
Cross simplify,
[tex]\frac{\frac{325}{4}}{2}[/tex]
Further simplify,
[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]
Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,
[tex]40\frac{5}{8}[/tex]
Enter an equation in the form y = mx + b that represents the function described by the graph.
PLEASE HELP
Answer:y=4x+2
Step-by-step explanation:m= rise and b=run rise /run when u look at the graph start at the pount to a count how many u rise to get to 2 then cout how many u run to get to 2 again so that would be y=4x+2.
Question 1
SCHOOL ELECTIONS Henrietta conducted a random survey of 60 students and found that 36 are planning to vote for her as class
president. If there are 460 students in Henrietta's class, predict the total number of students who will vote for her as class president.
Answer:
276 students
Step-by-step explanation:
36/60=0.6
Therefore, 60% of students in the random survey are planning to vote for her. Using that 60%, we can predict how many students in all will vote for her.
460(0.6)=276
That means 276 students will vote for her.
4. (A). Use the digits 1, 6, 7 and 5 to form the greatest 4-digit even
number.
(B). Divide the answer in (A) by 8.
Answer:
A)5176
B)647
Step-by-step explanation:
5176 is the highest even number that is divisible by 8
Step-by-step explanation:
7-5= 2
5-1= 4
5+1 =6
7+1= 8
therefore, the four digits even number are 2,4,6,8
Can someone find the surface area
Answer:
front triangle: (6x4)/2 = 12
back triangle: (6x4)/2 = 12
side: 12x5 = 60
other side: 12x5 = 60
bottom: 12x6 = 72
12 + 12 + 60 + 60 + 72 = 216
216 cm squared
HELP ME ASAP!!!!!!!!!!!
Pls see question attached.
WINNER GETS BRAINLIEST, THANKS AND A STAR RATING-EXCELLENT!!!!!!!!! Good Luck!
apokibunnyavatar xx
Answer:
y=2x-1
Step-by-step explanation:
Answer:
y=2x-1
Step-by-step explanation:
Every 1 x the line goes across it goes up 2 so x=2. You will also notice that the line passes through -1 on the y so y=2x-1/ BTW great graphing calculator to check lines and equations
desmos calculator
A person's height is 5-ft 3-in. Their shadow has a length of 3-ft 6-in. If a nearby tree has a shadow of length 10-ft 4-in, what is the approximate height of the tree?
Answer: The height of tree = 15 ft. 6 inches
Step-by-step explanation:
Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ] inches [ 1 ft= 12 inches]
= 63 inches
Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches
= 42 inches
If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches
= 124 inches.
At the same time,
[tex]\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.[/tex]
Hence, the height of tree = 15 ft. 6 inches
8 × (3v − 4) for v = 6
Answer:
112
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
8 × (3v - 4)
v = 6
Step 2: Evaluate
Substitute in v: 8 × (3 · 6 - 4)(Parenthesis) Multiply: 8 × (18 - 4)(Parenthesis) Subtract: 8 × 14Multiply: 112Answer:
y = 112
Step-by-step explanation:
This is solved by first writing out the equation correctly
[tex]8 * (3*6-4)[/tex]
we solve whats inside the parenthesis first
this equals 14
now 14 times 8 is 112
Which is the best prediction for the number of minutes
of exercising Sam will do if she spends 30 minutes
watching television that day?
45 minutes
0 72 minutes
O 83 minutes
O 118 minutes
Answer:
72 mins
Step-by-step explanation:
The number of minutes Sam spent on exercising is 72 minutes. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y = -0.78x + 95
Let x be the number of minutes of television Sam watched each day and y the number of minutes she spent exercising.
Here, x=30
Substitute x=30 in the given function, we get
y = -0.78(30)+95
= -23.4+95
= 71.6
≈ 72 minutes
Therefore, option B is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising. The function y = -0.78x + 95 models the data in the table.
Which is the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day?
A. 45 minutes
B. 72 minutes
C. 83 minutes
D. 118 minutes
The diagram shows a circle with center O and radius 42 inches.
A and B are points on the circumference such that arc AB makes an angle of 120°
Calculate the length of the arc AB.
Use 22/7 as an approximation for IT
A 88 inches
B 132 inches
C176 inches
D 264 inches
During one hour of running, Jeff can run 5.5 miles. The number of miles Jeff runs and the number of hours are in a proportional relationship. This is represented by y=5.5x .
Answer:
can you plz show a pic of the page ...
Step-by-step explanation:
If u can’t see it can I can post it again
Answer:
Step-by-step explanation:
The property of 30°-60°-90° :
The side opposite the 30° angle is the shortest and the length of it is equal to half of the length of the hypotinuse.
use the binomial theorem and multiplication to expand (1- x^2)(2-3x)^3
Answer:
(1-x2)× (2-3x)2
(1-x2) ×(8-36x+54x2-27x3)
8-36x+54x2-27x3-8x2+36x3-54x4+27x5
8-36x+46x2+9x3-54x4+27x5
Answer: 27x5-54x4+9x3+46x2-36x+8
Step-by-step explanation:
step 1- expand the expression
step 2- remove the parentheses
step 3- collect like terms
step 4- reorder the terms
Lily bought a bag of gummy bears and ate one-third of them. The next day, she ate 16 more gummy bears. If she ate a total of 37 gummy bears, how many were originally in the bag?
PLZ GIVE ME STEP BY STEP EQUATION ASAP!!
Answer: 63 total gummy bears
Step-by-step explanation: 37 - 16= 21. 21 is the one third she ate. So 21 x 3 give you the original amount of gummy bears which is 63
Equation= 37 - 16 x 3= 63
Let that be x
[tex]\\ \rm\rightarrowtail x/3+16=37[/tex]
[tex]\\ \rm\rightarrowtail x/3=37-16[/tex]
[tex]\\ \rm\rightarrowtail x/3=21[/tex]
[tex]\\ \rm\rightarrowtail x=21(3)[/tex]
[tex]\\ \rm\rightarrowtail x=63[/tex]
Solve for x using the diagram. (Simply your answer)
Answer:
x=6
Step-by-step explanation:
The two triangles shown are similar (AAA: they share the angle on the right and the two other angles are corresponding and therefore equal).
Since, they're similar, the sides are in ratio to eachother:
[tex]\frac{x+(x+3)}{8+12} = \frac{x+3}{12}[/tex]
12(2x+3)=20(x+3)
24x+36=20x+60
4x=24
x=6
i need help finding the area of these two
Answer:
50 cm² and 56 cm²
Step-by-step explanation:
The area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the length of the diagonals )
(2)
A = [tex]\frac{1}{2}[/tex] × (8 + 2) × (5 + 5)
= 0.5 × 10 × 10
= 5 × 10
= 50 cm²
(3)
A = [tex]\frac{1}{2}[/tex] × (12 + 2) × (4 + 4)
= 0.5 × 14 × 8
= 7 × 8
= 56 cm²
Which of the following statements is true for the equation 2x+2=3x+1? The equation is never true. The equation is only true for x = 1 The equation is true for all values of x. The equation is true for all values except x = 1.