What is the common ratio of the sequence?
-2, 6, -18, 54,...
a. −3
b. −2
c. 3
d. 8
Answer:
A -3
Step-by-step explanation:
-2 x -3 = 6
6 x -3 = -18
-18x -3 = 54
If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.
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Answer: 42
Explanation:
120 x .35 = 42
I hope this helped!
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42 is your answer
Answer:
let no be x
10% of x=12
x=1200/10=120
again
45% of x=54
x=5400/45=120
here
35% of 120=35/100×120=42
WORTH 21 POINTS!!! Find the area of the shaded regions
Answer:
84.823005
Step-by-step explanation:
π6^2=113.09734
(360-90)/360=3/4
3/4* 113.09734=84.823005
Step-by-step explanation:
area of circle=
[tex]\pi \: r ^{2} [/tex]
22/7×6×6=113.14
=3/4of 113.14
=84.55cm²
Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15
Answer:
A. $22.10
Step-by-step explanation:
52 x 0.4 = 20.8
20.8 x 1.0625 = 22.1
Write an equation from the given table.
The equation is:
7x = y
Hope it helps!!!
GAHHHHHHHHH HELP WITH THIS
Answer:
34
Step-by-step explanation:
let angle 1 be x
104 = 70 + x (exterior angle property)
x = 104 - 70 = 34 degrees
Answer:
I guess you want the amount of angle 1?
∠1 = 34°
Step-by-step explanation:
supplementary angle to 104° = 180° - 104° = 76°
∠1 = 180° - 70° - 76° = 34°
Questions 7 and 8 please. Really need help thank you!!
Answer:
7) sin 60° = 25√3/Z
0.8660 = 25√3/Z
Z = 50
8) using the Pythagorean theorem:
50² = (25√3)² + y²
2500 = 1875 + y²
y² = 625
y = 25
Answer:
z = 50
y = 25
Step-by-step explanation:
Using the 30, 60, 90 triangle rule
you can figure this out.
The rule says
With a 30, 60, 90 triangle
Given the shorter leg, (side across the 30 degree angle,
To find longer leg (side across the 60 degree angle):
Multiple shorter leg by radical 3.
To find hypotenuse (side across the 90 degree angle):
Multiple shorter leg by 2.
Thus
Shorter leg (side opposite 30 degree): 25
Longer leg (side opposite 60 degree):
25 radical 3
Hypotenuse(side opposite 90 degree): 50
Write each equation in slope-intercept form by following the steps below.
1. y = 2 + 4(x - 3)
a. Distribute 4 through the parentheses.
y=2 +
b. Simplify by combining like terms.
c. Is the equation in the form y = mx + b?
If not, rewrite it.
Given:
The equation is
[tex]y=2+4(x-3)[/tex]
To find:
The slope intercept form of the given equation.
Solution:
We have,
[tex]y=2+4(x-3)[/tex]
Step a: Distribute 4 through the parentheses.
[tex]y=2+4(x)+4(-3)[/tex]
[tex]y=2+4x-12[/tex]
Step b: Simplify by combining like terms.
[tex]y=4x+(2-12)[/tex]
[tex]y=4x-10[/tex]
Step c: Is the equation in the form [tex]y = mx + b[/tex]? If not, rewrite it.
The equation [tex]y=4x-10[/tex] in the form of [tex]y = mx + b[/tex].
Therefore, the slope intercept form of the given equation is [tex]y=4x-10[/tex].
What is the spread of the data?
A. 15 to 30 years
B. 18 to 25 years
C. 21 to 25 years
D. 18 to 21 years
marta tiene 15 años, que es la tercera parte de la edad de su madre ¿que edad tiene la madre de marta?
Answer:
La madre de Marta tiene 45 años.
Step-by-step explanation:
X = edad de mamá de Marta
15 = 1/3 X
(15)(3) = X
45 = X
if Alex and Mpho have to share R20 in the ratio 2:3,how much will Mpho get?
A R4
B R8
C R10
D R12
Answer:
D
Step-by-step explanation:
sum of ratio=2+3=5
Mpho gets=3/5×20=12
A tennis court is surrounded by a fence so that the distance from each boundary (edge) of the tennis court to the fence is
the same. If the tennis court is 78 feet long and 36 feet wide, what is the area of the entire surface inside the fence?
Answer:
the answer is 2,808
Step-by-step explanation:
you have to multiply 78 by 36 because it is area
2x - 4y = -2
2x + 3y = -16
What is the solution
Answer:
x=-5
y=-2
Step-by-step explanation:
equation 1 - equation 2
(2x-4y=-2) - (2x+3y=-16) = (-7y=14)
y=14/-7=-2
then substitute y=-2 into any equation
2x-4(-2)=-2
2x+8=-2
2x=-10
x=-10/2=-5
How would you write 12-^3 using a positive exponent?
12^3
12^0
12^3/1
1/12^3
Answer:
[tex] \frac{1}{ {12}^{3} }[/tex]
Step-by-step explanation:
[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]
Given: x-1;x+1;x...as the first 3 terms of a geometric sequence
1.1 Determine the value (s)of x
1.2 Hence,or otherwise,find the common ratio of the sequence
1.3why is the sequence convergent
Answer:
see explanation
Step-by-step explanation:
(1)
The common ratio r of a geometric sequence is
r = [tex]\frac{a_{2} }{x_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] , so
[tex]\frac{x+1}{x-1}[/tex] = [tex]\frac{x}{x+1}[/tex] ( cross- multiply )
(x + 1)² = x(x - 1) ← expand both sides
x² + 2x + 1 = x² - x ( subtract x² - x from both sides )
3x + 1 = 0 ( subtract 1 from both sides )
3x = - 1 ( divide both sides by 3 )
x = - [tex]\frac{1}{3}[/tex]
(2)
r = [tex]\frac{x}{x+1}[/tex] = [tex]\frac{-\frac{1}{3} }{-\frac{1}{3}+1 }[/tex] = [tex]\frac{-\frac{1}{3} }{\frac{2}{3} }[/tex] = - [tex]\frac{1}{2}[/tex]
(3)
If - 1 < r < 1 then the sequence will converge
r = - [tex]\frac{1}{2}[/tex] meets this criteria , thus the sequence is convergent
If I have the coordinates (4, 3) and (2, 2) what is distance do we get
Need help only right answer
Answer:
Step-by-step explanation:
Mhanifa can you please help? I need this done asap and I'm almost done!
Answer:
See attached
All points are plotted and we see the figure we got
8. Rectangle
We can visually confirm that
Opposite sides are parallel and congruentAll interior angles angles are right angles---------------------------------------------------------------------------
9. Square
We can visually confirm that
All sides are congruentAll interior angles angles are right anglesThe coldest place where humans live is the Siberian village of Oymyakon. On February 1993 the temperature fell to -67.7 degrees c.This is the lowest temperature recorded outside Antarctica!Investigate the temperature in different places around the world.List the temperatures in order,starting with the coldest.
The coldest temperature ever recorded on earth is -89.2 degrees Celsius (-128.5 degrees Fahrenheit) at Vostok, Antarctica on July 21, 1983. That all-time low broke the previous world-record minimum of -88.3 °C (-126.9 °F), set on August 24, 1960, also at Vostok.
Vostok is a Russian research station located high in the middle of the East Antarctic ice sheet, about 1,300 kilometres from the geographic South Pole.
This is a place where the sun doesn't rise during winter. Besides being extremely far south, the station's high elevation, at 3,420 metres (11,220 feet), helps it get really cold.
The conditions that caused the temperature to drop exceptionally low at Vostok in July 1983 were clear skies accompanied by calm air. Vertical mixing of the air was minimal and no wind had stirred for some time.
Vostok is not an outlier in the Antarctic temperature regime. On July 20th, 1968, the temperature at another high elevation research base, called Plateau Station, sank to -86.2 °C (-123.1 °F).
Please help I need to find the measure of the three unknown variables. Any help will be greatly appreciated:))
Answer:
[tex]x = 8 \sqrt{3} [/tex]
[tex]y = 60[/tex]
[tex]z = 30[/tex]
Step-by-step explanation:
To find x, use pythagorean theorem,
[tex] {x}^{2} + {8}^{2} = {16}^{2} [/tex]
[tex] {x}^{2} + 64 = 256[/tex]
[tex] {x}^{2} = 192[/tex]
x=13.9 or 8 times sqr root 3( see later)
To find y, use cosine ratio.
[tex] \cos(y) = \frac{8}{16} [/tex]
[tex] \cos(y) = \frac{1}{2} [/tex]
[tex]y = 60[/tex]
To find z, use triangle interior theorem
[tex]90 + 60 + z= 180[/tex]
[tex]150 + z = 180[/tex]
[tex]z = 30[/tex]
Since this a 30-60-90 triangle, side x could be also written as
[tex]8 \sqrt{3} [/tex]
I would appreciate the help!
Answer:
A
Step-by-step explanation:
2.
х
у
First
Differences
-2
12
Second
Differences
s
-1
3
0
0
1
3
2.
12
Answer:
I um need the question to answer.
Step-by-step explanation:
4) Calculate the area of the following shape: (Show working) *
Answer:
20
Step-by-step explanation:
divide shape into 2 rectangles;
Rectangle A: 5.5*3= 16.5
Rectangle B: 1*3.5=3.5
9-5.5=length length=3.5
Add RA+RB= your answer
Answer:
[tex]20m{2}[/tex]
Step-by-step explanation:
Find the missing side. Round to the nearest tenth when necessary.
Answer:
20
Step-by-step explanation:
[tex] \sqrt{ {31}^{2} - {27}^{2} } = 15[/tex]
HELP PLEASE!!! I really dont understand this!
a tank contains 400 liters of water. If 100 liters is used, what percentage is left
Answer:
25%
Step-by-step explanation:
[tex]400 \times 25 \div 100 = 100[/tex]
Which function will translate f(x) = x right 5 units and
up 1 unit?
A.f (x) = (x – 5)2 + 1
B.f(x) = (x + 5)2 + 1
C.f(x) = (x - 5)2 - 1
D.f(x) = (x + 1)2 – 5
Which point is located at -3.35?
Answer:
it would have to be b
Step-by-step explanation:
a is too close to 4
c is before 3
and d is obviously not it so it's b
Some one help me solve for x
Answer:
x = 10
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Sum the angles and equate to 360
9x + 15 + 85 + 90 + 80 = 360, that is
9x + 270 = 360 ( subtract 270 from both sides )
9x = 90 ( divide both sides by 9 )
x = 10
What is the approximate area of Nevada?
205 mi
309 mi
Reno
Carson City
511 mi
Las
Vegas
o 221,244 mi?
110,622 mi?
163,295 mi?
O 200,948 mi?
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Areas,
Let's divide the above map in to 2 parts , that is a rectangle and a triangle, and add both thier areas to get the area of the Nevada.
so we get as,
Area of triangle = 1/2*b*h
Area of triangle ==> 1/2*309*306 ==> 47277 mi^2
Area of rectangle = l*b = 205*309 ==> 63345 mi^2
Area of NEVADA = 47277 + 63345 = 110622 mi^2
hence the area = 110622 mi^2
Answer:
the approximate area of Nevada is 110,567 mi²
What is the slope of the line below?
Answer:
A) -4/5
Step-by-step explanation:
( -8, 10) and ( -3, 6)
Slope:
m=(y2-y1)/(x2-x1)
m=(6-10)/(-3+8)
m= (-4)/5
m = -4/5