Find the length of the third side. If necessary, write in simplest radical form. 7 V15
Help please only correct answers
Answer:
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Step-by-step explanation:
Given the following data;
Present value, P = $300
Interest rate, r = 8%
Number of times, n = 1/4
Note: Future value = 2 * P = 2*300 = $600
Compound interest is generally calculated based on the interest rate on a loan, principal and the accumulated interest gained from previous periods. This interest is compounded for a certain number of times such as daily, weekly, quarterly or annually.
To find how long she would have to invest her money in order to double it, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Electrical power (P) is measured in watts using the formula P = V · I where V is the voltage in volts and I is the current in amperes. If there are 40 volts running to a light bulb of 60 watts, how much current is flowing through the light bulb?
Answer:
1.5 amps
Step-by-step explanation:
P = V.I
60 = 40.I
60/40 = 40.I/40
I = 1.5
If m = 2s and n = (2s - 1) / 3 then what is the value of s form m = n ?
Answer:
[tex]s = - \frac{1}{4} [/tex]
Step-by-step explanation:
For m to be equal to n,
[tex]2s = \frac{2s- 1}{3} [/tex]
Multiply both sides by 3:
[tex]6s = 2s - 1[/tex]
Minus 2s on both sides:
[tex]4s = - 1[/tex]
Divide by 4 on both sides:
[tex]s = - \frac{1}{4} [/tex]
Are M, N, and O collinear? If so, name the line on which they lie.
Answer:
Yes, they lie on the line NP
Answer:
they lie in the line MO
Step-by-step explanation:
6.b.Find the equation of the circle lies on 2x-3y+1=0 and the circle passing through the points (-1,2) and (2,3).
Answer:
(x + 1)² + (y - 7)² = 25Step-by-step explanation:
Perpendicular bisector of the chord connecting the the points (-1,2) and (2,3) is also passing through the center of the circle.
We'll find the equation of the line and solve the system to find the center.
Midpoint of the chord:
((-1 + 2)/2, (2 + 3)/2) = (0.5, 2.5)Equation of the line through chord (-1,2) and (2,3):
m = (3 - 2)/(2 + 1) = 1/3y - 2 = 1/3(x + 1)y = 1/3x + 7/3Perpendicular bisector is:
y - 2.5 = -3(x - 0.5)y = -3x + 4 >> (1)And the given line is:
2x - 3y + 1 = 0y = 2/3x + 1/3 >> (2)Solve the system:
-3x + 4 = 2/3x + 1/3-9x + 12 = 2x + 111x = -11x = -1Find y:
y = -3(-1) + 4 = 3 + 4 = 7The center is (-1, 7)
Find the radius, the distance from center to one of points on circle
(-1, 7) and (-1, 2) 7 - 2 = 5The equation of circle is:
(x + 1)² + (y - 7)² = 5²(x + 1)² + (y - 7)² = 25
Hope This Helps!!!
Hope This Helps!!!Have A GREAT DAY!!!
Helppp meeeeeeeeeeee
Express the confidence interval (63.3%, 79.1%) in the form of ˆp ± ME.
___% ± ___%
Answer:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
Step-by-step explanation:
Given
[tex](63.3\%,79.1\%)[/tex]
Required
Express in form of: [tex]p \± ME[/tex]
First, calculate the midpiont (p)
[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]
[tex]p = \frac{142.4\%}{2}[/tex]
[tex]p = 71.2\%[/tex]
The margin of error (ME) is:
[tex]ME =79.1\% - 71.2\%[/tex]
[tex]ME =7.9\%[/tex]
So, we have:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
Is this right and can someone show me the explanation plz?and how to do the problem I have to show my work
Answer:
yes it is.
x = 4 and y = -3
Step-by-step explanation:
Solve simultaneously using elimination method:
equation 1 - equation 2
3x + y = 9 equation 1
-2x + y = 5 equation 2
_________
x = 4
plug 4 into any of the 2 equations and solve for y.
3(4) + y = 9
12 + y = 9
12-12 + y = 9-12
y = -3
Solving a word problem using a quadratic equation with rationa...
The area of a rectangle is 52 m², and the length of the rectangle is 5 mless than double the width. Find the dimensions of the rectangle.
Length:
Width : 1
Answer:
length : 8 m
width : 13/2 = 6.5 m
Step-by-step explanation:
area of rectangle = l(ength)×w(idth) = 52
l = 2w - 5
=> (2w - 5)×w = 52
=> 2w² -5w - 52 = 0
we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4
=> (2w - 13)×(w + 4) = 0
=> 2 solutions for w :
2w-13 = 0
2w = 13, w = 13/2
w+4 = 0, w = -4
negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2
=> l = 2w - 5 = 13 - 5 = 8
What is the outlier for the data set?
19, 19, 27, 21, 77, 18, 23, 29
Answer: 77
Step-by-step explanation:
The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal. If we wanted to limit the margin of error of a 95% con dence interval to 2%, about how many Americans would we need to survey?
Answer: we need to survey 2285 Americans.
Step-by-step explanation:
When population proportion (p) is known, then the formula to evaluate the sample size( minimum) is given by :-
[tex]n=p(1-p)(\frac{z^*}{E})^2[/tex], where E = margin of error , z* = critical z-value.
Given: p= 0.61, E=0.02, Critical z value for 95% = 1.96
Required sample size: [tex]n=(\frac{1.96}{0.02})^2(0.61)(1-0.61)[/tex]
[tex]=(98)^2(0.61)(0.39)\\\\=9604(0.61)(0.39)\\\\\approx$$2285[/tex]
Hence, we need to survey 2285 Americans.
Factorise fully 12x + 18y
Answer:
6(2x + 3y)
Step-by-step explanation:
6 is the largest greatest common factor you can take out. As all powers are 1, nothing else can be done.
The factorize form of the expression 12x + 18y is 6(2x+3y)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 12x + 18y
Twelve times of x plus eighteen times of y
x and y are the variables in the expression
Let us factorize the expression
The Gcd of 12 and 18 is 6
So take 6 as common from the expression
6(2x+3y)
Hence, the factorize form of the expression 12x + 18y is 6(2x+3y)
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Evaluate arccos (-1/2)
Answer:
120 degrees
Step-by-step explanation:
plugged into calculator
cos inverse of -1/2
Please mark Brainliest if you feel like it:)
y is inversely proportional to (x+2)² when x=1, y=2
find y in term of x
please help asap!!
Answer:
y = 18 / (x + 2)²
Step-by-step explanation:
Inversely proportional
y * (x + 2)² = k
when x=1, y=2
k = 2 * (1 + 2)²
k = 18
-----------------------
y * (x + 2)² = 18
Divide both sides by (x + 2)²
y = 18 / (x + 2)²
I need some help on this please Simplify 2c-5c+c
Find the value of x that makes m parallel n .
At noon the temperature was 35° Celsius. By late afternoon it was rising 8° Celsius. What is the temperature late in the afternoon
Umm i could use so help :)
If you don't mind
i think it's 16+88 but i was wondering what someone else thought.
Answer: I think your answer is right
Step-by-step explanation:
atlas isttg dont ttake this down its a question and u have no right to
Answer:
13/16
Step-by-step explanation:
Find QR.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
QR = ___
Answer:
Step-by-step explanation:
take 64 degree as reference angle
using cos rule
cos 64=adjacent/hypotemuse
0.43=QR/10
10*0.43=QR
4.3=QR
What is the y-intercept of the Line y=3/4x + 2
Answer:
Step-by-step explanation:
Can somebody help me with this question
Answer:
[tex]\text{a) }1,080^{\circ}, \\\text{b) }360^{\circ}, \\\text{c) }135^{\circ}, \\\text{d) }45^{\circ}[/tex]
Step-by-step explanation:
a) The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, substitute in [tex]n=8[/tex]:
[tex](6-2)180=\boxed{1,080^{\circ}}[/tex]
b) The sum of the exterior angles for any polygon is equal to [tex]360^{\circ}[/tex].
c) By definition, all regular shapes have equal angles and sides. Since we've found the total sum of the interior angles of an octagon in part a, each interior angle of a regular octagon must be [tex]\frac{1080}{8}=\boxed{135^{\circ}}[/tex]
d) Similar to part c, all regular shapes must have equal angles and sides. From part b, we know the sum of the exterior angles of a octagon is [tex]360^{\circ}[/tex], thus we have [tex]\frac{360}{8}=\boxed{45^{\circ}}[/tex]
Please help me answer this
Will give Brainly
Answer:
9.103
10. 77
11.60
12. 6.4
13. 20
14. 36
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
180 - (47 + 30) = 103
DEG = 180 - 103 = 77 angles on a straight line equals 180
An equilateral triangle has all 3 sides equal
if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
5² + 4² = 41
squareroot of 41 = 6.4
b : √(25² - 15²) = 20
√(60² - 48²) = 36
The probability that the number on the card is a perfect square is
From 2 to 101 , the perfect square numbers are ,
4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 .Total number of possible outcomes = 100.
Total number of favourable outcomes = 9 .
Hence ,
→ P ( of getting perfect square ) = 9/100
what is the measure of
Answer:
88 degrees
Step-by-step explanation:
Since x and z have the same angel their degrees is the same
What is the distance from the origin to point A graphed on the complex plane below?
Answer:
B
Step-by-step explanation:
Edge
8
[tex] \frac{50}{100} [/tex]
[tex]\sf\purple{0.5}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{50}{100} \\ = \frac{1}{2} \\ = 0.5[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Which is the inverse of the following statement?
If the measure of an angle is 90°, then it is a right angle.
On Monday the temperature was -5°F. How many degrees below zero was the temperature