Answer:
Y² = (1-X) / 2
Step-by-step explanation:
According To The Question, We Have
X= Cos2t & Y= Sint
the cartesian equation of the curve is given by Y² = (1-X) / 2 .
Proof, Put The Value of X & Y in Cartesian Equation, We get
Sin²t = {1-(1-2×Sin²t)} / 2 [∴ Cos2t = 1 - 2×Sin²t]
Taking R.H.S
(1-1+2×Sin²t)/22Sin²t/2 ⇔ Sin²t = L.H.S (Hence Proved)A man owes rs 4000 in 4 years and rs 3400 due in 6 years. His creditor agreed for him to pay debts with a payment of rs 3000 in 3 years and the remainder in 8 years. If money is worth 7% compounded quarterly, the amount of the second payment is?
Answer:
15000 loan
Step-by-step explanation:
Suppose comparison date = 8 years
Hope this answer helps you :)
Have a great day
Mark brainliest
how to determine a polynomial expression
Answer:
hope this helps
Step-by-step explanation:
for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
Answer:
For an expression to be in polynomial form , the following conditions must be met :
No square roots of variablesNo fractional or negative power on the variableNo variables in the denominator of any fraction.What is the value of the 30th percentile for the data set? 6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896
5896
Step-by-step explanation:Given data set:
6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896
To calculate the 30th percentile;
i. Rearrange the given data set in ascending order.
5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381
ii. Use the following formula to get the index of the value at the 30th percentile.
N = p(n)
Where;
N = the number of data points at or below the intended percentile.
p = the intended percentile.
n = the number of points in the data.
In this case;
p = 30 percent = 0.3
n = 14
Substitute these values into the equation;
N = 0.3(14)
N = 4.2
iii. From the calculated index, find the value of the 30th percentile.
If the index is a whole number x, the desired percentile is the average of the values at index x and x+1.
For example if the index is 4, then the desired percentile is the average of the values at index 4 and 5. In our case, that will be;
[tex]\frac{5896+5896}{2}[/tex] = 5896
If the index is a decimal number, it is rounded up to the nearest integer. The value at the rounded index is the desired percentile.
For example, in our case, the index is 4.2 which when rounded up becomes 4.
Therefore, the data point or value at index 4 is the 30th percentile. From the arrangement in (ii) above, that will be 5896. i.e
5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381
Please help me! I need to get this done but don't know how!
The polynomial x³+5x²-57x-189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions?
a. height: 19 in.
depth: 5 in.
c. height: 19 in.
depth: 7 in.
b. height: 21 in.
depth: 5 in.
d. height: 21 in.
depth: 7 in.
Answer:
Step-by-step explanation:
your answer would be b
17.
Write the equation in standard form. Then factor the left side of the equation.
2x2 + 7x = 15
A. (2x – 3)(x + 5) = 0
B. (2x + 3)(x + 5) = 0
C. (2x + 5)(x – 3) = 0
D. (2x – 5)(x + 3) = 0
Please help find volume of cone use 3.14 for pi
Answer:
.p^2+b^2=h^2
.144+b^2=225
.b^2=81
. therefore b=9
again. to
volume =1/3πr^2
=1/3×22/7×81
=567/21
=27ft^2
A rod 123.75 cm long is sawn into 16 equal lengths. If a wastage takes place of ¼ cm for each saw cut, what is the length of each piece?
Answer:
7.5 cm
Step-by-step explanation:
A rod 123.75 cm long is sawn into 16 equal lengths.
The length of each rod is calculated as:
123.75cm/16 =
= 7.734375cm
If a wastage takes place of ¼ cm for each saw cut,
The length of each piece is calculated as:
7.734375cm - 1/4 cm
7.734375cm − 0.25 cm
7.484375cm
Approximately = 7.5 cm
Therefore, the length of each piece = 7.5 cm
Find the surface area of the figure using its net
Help me with this!!!
Answer:
4th answer
Step-by-step explanation:
g(h(x)) means to put the formula for h(x) into the formula for g( ).
[tex]g(h(x))=g(2x-2)=-3(2x-2)^3-2(2x-2)^2\\=-3(8x^3-24x^2+24x-8)-2(4x^2-8x+4)\\=-24x^3+72x^2-72x+24-8x^2+16x-8\\=-24x^3+64x^2-56x+16[/tex]
Cubing the binomial 2x - 2 can take some time!
A marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles, and 5 green marbles. What is the probability that the marble is yellow?
I
7. The term "snowstorms of note" applies to all snowfalls over 6 inches. The snowfall amounts for
snowstorms of note in Utica, New York, over a four-year period are as follows:
7.1, 9.2, 8.0, 6.1, 14.4, 8.5, 6.1,6.8, 7.7,
21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6
What are the mean and population standard deviation for these data, to the nearest hundredth?
1) mean = 9.46; standard deviation = 3.74
3) mean = 9.45; standard deviation = 3.74
2) mean = 9.46; standard deviation = 3.85
4) mean = 9.45; standard deviation = 3.85
Answer: (1) mean = 9.46; standard deviation = 3.74
Step-by-step explanation:
Tell me what is wrong with this.
_____
/ \
| |
|______|
| | | |
| | | |
Answer:
among us lm*o na everything
Step-by-step explanation:
Please help worth 20 points
e is the the answer.....
Una pileta de natación tiene un desnivel en el fondo, de tal manera que su profundidad varía entre 1m y 4,3m. ¿Cuál es el cambio de presión al nadar por el fondo de la pileta, desde la zona más baja hacia la zona más profunda? (Aplique Teorema Fundamental de la Hidrostática). Peso específico agua: γ=1000kgf/m³
Answer:
dhhdf Hf fu vvvvvvvbbb jcjsjjsisydydhfb DJ
Given the equation 5x + 23 = − 2x − 12, which order of operations completely solves for x?
Step-by-step explanation:
5x+2x=-12 -23
7x=-35
which will give you 1 over 5writing your answer in a standard form it helps you to get the answer easy and quickAnswer:
-5
Step-by-step explanation:
5x+23=-2x-12
5x-(-2x)+23=-12
5x+2x=-12-23
7x=-35
x=-35/7
x=-5
POR is a right-angled triangle.
13 cm
5 cm
12 cm
Work out the size of angle POR.
Give your answer correct to 1 decimal place.
+ +
1
Total marks: 3
Answer:
As 3-4-5 5-12-13 is a right triangle
5^2 + 12^2 = 25 * 144 = 169 = 13^2
Not sure how POR is designated, but
cos theta = 12/13 = .923 theta = 22.6 deg
sin theta = 5/13 = .385 theta = 22.6 deg
Solve the equation n3 = 8/125 for n n=______
Answer:
2/5
Step-by-step explanation:
Ranking brainliest if correct
Answer:
Hello! answer: 18
Step-by-step explanation:
AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!
8 9 help me plsss free nitro
Answer:
8. 67 sure 100% so it will be A
9. I am not sure but the answer will be 100 or 120 so it will A or B
Good luck XD
Step-by-step explanation:
learning Task 2 Answer the following problems. Show your complete solution in your notebook.
1. Jun wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. Use 3.14 for pi.
What is asked in the problem
What are the given facts
What is the formula to be used
Number Sentence and final answer.
paki answer ng maayos
Needed a point sorry UenEkajeahekesknshshshh
Me pueden ayudar con estos ejercicios porfa.
Step-by-step explanation:
a. 3x²+10x+8 = (3x+4)(x+2)
b. 4x²+21x-18 = (4x-3)(x+6)
c. 3x²+8x+5 = (3x+5)(x+1)
d. 6x²+5x-4 = (2x-1)(3x+4)
e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)
f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)
g. 6x²-7x-3 = (2x-3)(3x +1)
h. 6x²-43x+72 = (3x-8)(2x-9)
Three same-sized cubes are attached to the top of a rectangular prism as shown below.
If a=10 cm, b = 26 cm, and c = 6 cm, what is the surface area of the figure?
ANSWER ASAP PLEASE!!! IT WOULD MEAN ALOT
Answer:
Surface area of the figure = 1672 [tex]cm^{2}[/tex]
Step-by-step explanation:
Surface area of the figure = surface area of the prism + surface area of the 3 cubes
The surface area of the rectangular prism = sum of the area of its individual sides
= 2(26 x 10) + 2(10 x 10) + 2(26 x 10)
= 520 + 200 + 520
The surface area of the rectangular prism = 1240 [tex]cm^{2}[/tex]
Surface area of one of the cubes = 5(6 x 6)
= 180 [tex]cm^{2}[/tex]
The surface area of the 3 cubes = 3 x 180
= 540 [tex]cm^{2}[/tex]
Thus, the surfaces of the cubes on the prism covers a total area of 108 [tex]cm^{2}[/tex].
So that;
The surface area of the figure = (1240 - 108) + 540
= 1132 + 540
= 1672 [tex]cm^{2}[/tex]
3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F.
Which inequality explains why these three segments cannot be used to construct a triangle?
EF + FD > DE
ED + EF < DF
ED + EF > DF
EF + FD < DE
Answer:
second option ED + EF < DF
Step-by-step explanation:
in order to build a triangle or of 3 lines, every pair of 2 of these lines must be longer together than the third line.
otherwise you could put them together and place them flat alongside the third line and still cannot connect to the endpoint of the third line => no triangle possible.
ED (or DE) is half of the third line (DF or FD).
FE (or EF) is a third of the third line.
1/2 + 1/3 < 1/1 (because 1/3 < 1/2)
Answer:
ED + EF < DF or b
What would it be? Little help plz
Pleeeeeeease help meeee!!!!
Answer:
a = -7, b = -1, c = 1/3
Step-by-step explanation:
-x + 1/3 - 7x² ⇒ -7x² - x + 1/3
a = -7 b = -1 c = 1/3
Answer:
Step-by-step explanation:
[tex]ax^{2} + bx + c\\-7x^{2} - x + \frac{1}{3} \\a = -7\\b = -1\\c = \frac{1}{3}[/tex]
Which of the following terms describes the measure indicated by the black
arrow below?
A. Range
O B. Mean
OC. Minimum
O D. Median
Plzzzz help
help appreciated !!!!!
Answer:
38.43 sales tax, 597.43 total price
Step-by-step explanation:
559x.06875=38.43 sales tax
559+38.43=597.43 total price
Logx-1(343)=3 solve for base x
Answer:
should be 8 !
Step-by-step explanation:
it just is
Jameson middle school give bottles of water to teachers and students who are going on a field trio. The school orders 500 bottles of water. They plan to give 35 bottles of water to teacher . They orderd at least 2 bottles of water for each student. How many students could be going on the field trip? Show your work
Answer: Almost 232 students going on the field trip.
Step-by-step explanation:
Let x be the number of students going on the field trip.
As per given,
[tex]2x+35 \leq500[/tex], where [tex]x\geq2[/tex].
To solve the inequality , subtract 35 from both sides
[tex]2x\leq465\\\\x\leq232.5[/tex] [divide both sides by 2]
i.e Almost 232 students going on the field trip.
if h(x)=x-7 and g(x)= x^2, which expression is equivalent to (goh)(5)
Answer:
(goh)(5) = 4
Step-by-step explanation:
(goh)(x) = g(x-7)
g(x-7) = (x-7)^2
g(x-7)= x^2 - 14x + 49
(goh) = x^2 - 14x + 49
(goh)(5) = 5^2 - 14(5) + 49
(goh)(5) = 25 - 70 + 49
(goh)(5) = 4