A function h(x) has zeroed at x=-6 and x=12 where does the function g(x) =h(3x) have zeroed?
Answer:.
Step-by-step explanation:.
Which expression is equivalent to a^-x?
What are factors of 72 that add to be -18?
Answer:
-12 and -6
Step-by-step explanation:
At age 20, William starts a career with a salary of $40,000 and a promise of a yearly raise of 2%. Approximately how much money will he make over 10 years?
Answer:
8759.78
Step-by-step explanation:
cause by the end of the 10 years he would have 48759.77 minus that by 40,000 you would get 8759.78
Approximately how much money will he make over 10 years is $8,759.78.
Using this formula
Amount=[Principal(1+rate)^t]- Principal
Where:
Principal=$40,000
Rate=2%
Time=10 years
Let plug in the formula
Amount=[$40,000×(1+0.02)^10]-$40,000
Amount=[$40,000×(1.02)^10]-$40,000
Amount=$48.759.776-$40,000
Amount=$8,759.776
Amount=$8,759.78 (Approximately)
Inconclusion approximately how much money will he make over 10 years is $8,759.78.
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Extra Credit:
8 congruent spheres are packed into a cube with
edge length x so that each sphere is tangent to 3
faces of the cube and 3 other spheres as shown.
what is the ratio of the total volume of the
spheres of the volume of the cube?
Answer:
Ratio of the volumes of the spheres and cube = 0.523
Step-by-step explanation:
From the figure attached,
Diameter of one sphere = Half of the measure of one side of the cube
= [tex]\frac{x}{2}[/tex]
Radius of the sphere = [tex]\frac{\frac{x}{2}}{2}[/tex]
= [tex]\frac{x}{4}[/tex]
Volume of a cube is given by the formula,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Therefore, volume of one sphere = [tex]\frac{4}{3}\pi (\frac{x}{4})^{3}[/tex]
= [tex]\frac{x^3\pi}{48}[/tex]
Volume of 8 spheres = [tex]8\times \frac{x^3\pi}{48}[/tex]
= [tex]\frac{x^3\pi}{6}[/tex]
Volume of a cube = (side)³
= [tex]x^3[/tex]
Ratio of the volumes of the sphere and cube = [tex]\frac{\frac{\pi x^3}{6} }{x^3}[/tex]
= [tex]\frac{\pi}{6}[/tex]
≈ 0.523
The perimeter of a rectangular building is 462 meters. It is 131 meters long. How wide is it?
A sequence starts 5 10 20 40 80
What is the term to term rule of the sequence?
Answer:
Finding the 6th term is really easy, we can simply double two more times to get 5, 10, 20, 40, 80, 160.
Step-by-step explanation:
A(4,10) and B (6,12)
(1) Find the distance between A and B
Answer:
2.8284
Step-by-step explanation:
Input Data :
Point 1(xA,yA)(xA,yA) = (4, 10)
Point 2(xB,yB)(xB,yB) = (6, 12)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(6−4)2+(12−10)2(6-4)2+(12-10)2
= √22+2222+22
= √4+44+4
= √88 = 2.8284
Distance between points (4, 10) and (6, 12) is 2.8284
I need help with math help a sis out
the quotient of 4 and c
Answer:
4 x c = ?
Step-by-step explanation:
I don't get it
how many sides do tahe polygon have?
Triangle - 3 Sides Square - 4 Sides
Pentagon - 5 Sides Hexagon - 6 sides
Heptagon - 7 Sides Octagon - 8 Sides
Nonagon - 9 Sides Decagon - 10 Sides
Answer:
Triangle 3
Quadrilateral 4
Pentagon 5
Hexagon 6
Find area of the shaded segment vb and length of vb
Answer:
Area of length Vb = 25 square units
Area of segment Vb = 26 square units
Step-by-step explanation:
Area of length Vb = theta/360 * 2πr
Area of length Vb = 120/360 * 2*3.14 * 12
Area of length Vb = 1/3 * 75.36
Area of length Vb = 25 square units
Ares of length Vb is 25.1 sq. units
Area of shaded portion = Area of sector VUB - Area of triangle VUB
Area of sector VUB = theta/360 * πr²
Area of sector VUB = 120/360 * 3.14*144
Area of sector VUB = 1/3 * 452.16
Area of sector VUB =150.72
Area of triangle VUB = r²sintheta
Area of sector VUB = = 12²sin 120
Area of sector VUB = = 144(0.8660)
Area of sector VUB = 124.71
Area of the shaded segment = 150.72 - 124.71
Area of the shaded segment = 26.01
Area of the shaded segment = 26 sq. units
what number is missing ? 54÷ ? =6
Answer:
9
Step-by-step explanation:
9x6=54
Answer:
? = 9
Step-by-step explanation:
ILL MARK BRAINLIEST PLEASE HELP!!!
What is the solution to the equation
х
6
12
O x= 1
O x= 2
O x=8
O x= 4
Answer:
B is your answer
Step-by-step explanation:
Hope it is right.
A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?
81%
90.09%
90.9%
99%
180%
NWMS has 840 students. Ben surveys a random sample of 60 students and finds that 8 of them have more than 3 siblings. How many students at the school are likely to have more than 3 sibling
Answer:
the answer is 196
Step-by-step explanation:
hope this helps
Please help me answer this!!
To solve for m, divide both sides by 5/6
M = 85/ 5/6
When dividing by a fraction flip the fraction over and multiply
M = 85 x 6/5 = (85 x 6)/5 = 510/5 = 102
He drove 102 miles on Monday
Also on this one I’m having trouble
Answer:
try just 10. without the (-)
There are 4 brown socks and 14 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then he pulls
out another sock and puts it on his left foot.
What is the probability that Jason has two brown socks on his feet?
Answer:
2/51
Step-by-step explanation:
# of brown socks = 4
# of blue socks = 14
total # of socks = 18
The probability of pulling 1 brown sock = 4/18
If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks
So after the first pull ( if it were to be a brown sock )
there would only be 3 brown socks and 17 total socks
So the probability of pulling a brown sock then would be 3/17
Finally we multiply the two probabilities to get the answer
4/18 * 3/17 = 2/51
Hence, the answer is 2/51
The table below shows the cost of downloading songs from a website.
Number of Songs Total Cost
At this rate, what is the cost per song?
Answer:
$1.27 per song
Step-by-step explanation:
15 / 11.85 = 1.2658 -> rounded to $1.27
18 / 14.22 = 1.2658 -> rounded to $1.27
20 / 15.80 = 1.2658 -> rounded to $1.27
PLEASE HELP!! what is the area of the regular polygon
Question:
What is the area of the regular polygon
Answer:
72Step-by-step explanation:
Since the radius is 6 the Length/Width should also be 6 so the polygon has 6 sides so 6/3 = 2 x 6 = 12 x 6 = 72
72 is your answer
Enter the patriot equivalent to Tan (A)
And
Enter the ratio equivalent to cos (B)
Answer:
[tex](a)\ \tan A = \frac{5}{12}[/tex]
[tex](b)\ \cos B = \frac{5}{13}[/tex]
Step-by-step explanation:
Given
See attachment for triangles
Solving (a)
[tex]\tan(A)[/tex]
The tan of an angle is:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
From the given triangle.
[tex]Opposite = 5[/tex]
[tex]Adjacent = 12[/tex]
So, we have:
[tex]\tan A = \frac{5}{12}[/tex]
Solving (b)
[tex]\cos(B)[/tex]
The cos of an angle is:
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
From the given triangle.
[tex]Adjacent = 5[/tex]
[tex]Hypotenuse = 13[/tex]
So, we have:
[tex]\cos B = \frac{5}{13}[/tex]
Based on the data in the table, what is the probability that the next piece of candy Katherine pulls out of the jar will be blue?
O
A
7/100
B.
7/50
C.
7/43
D.
1/5
The probability of blue candy from the jar of total candy 50 is 7/50. Thus, option B is correct.
Probability is defined as the chance of occurrence of events. From, the given data the total number candies in the jar is 50.
Thus, the total number of events (sample space, S) = 50
number of possible outcomes from the event n(S) = 50
number of blue candies in the jar(favourable outcomes) = 7
Probability of taking the blue candies from the jar,
P(A) = no. of. favourable outcomes / number of possible outcomes
= 7 / 50
The probability of taking blue candy from the jar = 7/50
Thus, the ideal solution is option B.
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PLEASE HELP!! Which of the following numbers is irrational?
what is 30.84 round to the nearest hundredth
Answer:
30.8
Step-by-step explanation: round bozo
Marking brainliest loll
Answer: the second one?[b] brainliest?
Step-by-step explanation:
Answer:
b and brainlist?
Step-by-step explanation:
Find mGM if KP = PL and GH = 36 ft.
Circle geometry are made up of lines and angles. The measure of the angle arcGM is 90degrees
Circle geometryCircle geometry are made up of lines and angles
From the given diagram, the sum of angles on the straight line GKH is 180 degrees
arcGM + arcMN = 180 degrees
Given that arcMN = 90 degrees, hence;
arcGm = 180 - 90
arcGM = 90 degrees
Hence the measure of the angle arcGM is 90degrees
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Answer:
mGM is 77 degrees
Step-by-step explanation:
-2x + 7 = -32 i need help hurry plsss
Answer Is x= -19.5
-2x = -39
-x= 19.5
x= -19.5
Karen and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them all equally. How much water was in each balloon?
Answer:
Amount of water in each balloon = 300 milliliter
Step-by-step explanation:
Given:
Amount of water used in balloon = 6 liter
Number of water balloon = 20 balloon
Find:
Amount of water in each balloon
Computation:
Amount of water used in balloon = 6 x 1000
Amount of water used in balloon = 6,000 milliliter
Amount of water in each balloon = Amount of water used in balloon / Number of water balloon
Amount of water in each balloon = 6,000 / 20
Amount of water in each balloon = 300 milliliter
PLEASE HELP!
Y=5x-9
-2x-3y=-7
Please show
work!
substition for math
Answer:
ill edit this and Post the answer in a few m0ments .....
Step-by-step explanation:
Answer:
J
Step-by-step explanation:
K. since you thought it was so funny to do it to me