Answer:
There are 64 possible outcomes.
Step-by-step explanation:
Each flip has 2 options, heads or tails.
head tail
One flip has 2 outcomes. When you flip again, you can get this set of 4 outcomes:
head-head tail-head
head-tail tail-tail
Then when you flip a third coin, each of those cases has 2 cases itself. As you can see, each flip that is added, the total number of outcomes doubles. For 6 flips, you do 2x2x2x2x2x2 or [tex]2^{6}[/tex].
factorise :x^2y^2-16
Answer:
(xy - 4)(xy + 4).
Step-by-step explanation:
The is the difference of 2 squares.
a^2 - b^2 = (a - b)(a + b: so we have:
x^2y^2 - 16 = (xy - 4)(xy + 4)
Find the circumference &’ area. use 3.14 for piround answers to nearest tenths!
I WILL MARK YOU AS BRAINLIEST!
Answer:
A= 185.12 ft²
C= 12.56 ft
Step-by-step explanation:
Area of rectangle is 160 ft²
Area of semi-circle is 25.12 ft²
3.14*4*4=3.14*16=50.24
50.24/2=25.12
160+100.48=260.48 ft² ≈260.5 ft²
3.14*4=12.56
Answer:
185.136
Step-by-step explanation:
20×8=160ft²
3.142×4²= 50.272
50.272÷2=25.136
160+25.146= 185.136
Mindy deposits $250 into a savings account that pays simple interest. If the interest rate is 1.5%, what is her account balance at the end of a 2 years if she makes no withdrawals?
Answer:
Her account balance at the end of 2 years is $257.5.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question:
Deposit of $250, so [tex]P = 250[/tex]
Interest rate of 1.5%, so [tex]I = 0.015[/tex]
2 years, so [tex]t = 2[/tex]
Amount of interest earned:
[tex]E = P*I*t = 250*0.015*2 = 7.5[/tex]
Total amount:
[tex]T = E + P = 7.5 + 250 = 257.5[/tex]
Her account balance at the end of 2 years is $257.5.
If sin x= (sqrt 2)/2 and tan x=-1 what is sec x
Answer:
[tex]-\frac{2}{\sqrt{2}}[/tex] or [tex]-\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sec{x}[/tex] is the reciprocal of [tex]\cos{x}[/tex], or in symbols: [tex]\sec{x}=\frac{1}{\cos{x}}[/tex]. [tex]\tan{x}[/tex] is also the ratio of [tex]\sin{x}[/tex] to [tex]\cos{x}[/tex], and we can multiply both sides of the equation [tex]\tan{x}=\frac{\sin{x}}{\cos{x}}[/tex] by [tex]\frac{1}{\sin{x}}[/tex] to get the equation [tex]\frac{\tan{x}}{\sin{x}}=\frac{1}{\cos{x}}[/tex]. Of course, this is just the definition of [tex]\sec{x}[/tex], so we can rewrite this fact as [tex]\sec{x}=\frac{\tan{x}}{\sin{x}}[/tex].
In this problem, we're given that [tex]\sin{x}=\frac{\sqrt{2} }{2}[/tex] and [tex]\tan{x}=-1[/tex], so plugging those two values into our equation gives us
[tex]\sec{x}=\dfrac{-1}{\frac{\sqrt{2}}{2}} =-\frac{2}{\sqrt{2}}[/tex]
We could leave our solution as [tex]-\frac{2}{\sqrt{2}}[/tex], or we could rationalize the denominator to get a solution of
[tex]-\frac{2}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=-\frac{2\sqrt{2}}{2}=-\sqrt{2}[/tex]
solve 25+8m =73 M=....
Answer:
25+8m=73
We move all terms to the left:
25+8m-(73)=0
We add all the numbers together, and all the variables
8m-48=0
We move all terms containing m to the left, all other terms to the right
8m=48
m=48/8
m=6
Answer:
[tex]m = 6[/tex]
Step-by-step explanation:
[tex]25 + 8m = 73 \\ 8m = 73 - 25 \\ 8m = 48 \\ \frac{8m}{8} = \frac{48}{8} \\ m = 6[/tex]
(06.03)
Given the box plot, will the mean or the median provide a better description of the center? (1 point)
+
15 20
+
0
5
10
25
30
35
Answer: The median will provide a better description of the center because the median is the middle number.
Step-by-step explanation:
help me answer this <3
what two intergers does √75 fall between ?
a) 7 & 8
b) 8 & 9
c) 9 & 10
d) it's exactly 30
ZB=
Round your answer to the nearest hundredth.
С
2
А
3
?
B
Answer:
B = 41.81
Step-by-step explanation:
sin B = opposite/ hyp
sin B = 2/3
Take the inverse sin of each side
sin ^-1 sin (B) =sin ^-1 (2/3)
B =41.8103149
To the nearest hundredth
B = 41.81
Need help ASAP. WILL MARK BRAINLIEST.
Let's do it in general first; inner radius r, outer radius R.
Little circumference is 2πr, bigger is 2πR, difference is
d = 2π(R-r)
For us R-r = 2 feet so that's
d = 2 (22/7) (2) = 88/7 ≈ 12.57 feet
Answer: 12.6
Can you plz answer question on the screenshot?
Answer:
Step-by-step explanation:
How many times larger is the volume of a sphere if the radius is multiplied by 5?
Answer:
Brainliest please
The Volume is 125 times bigger.
Step-by-step explanation:
V = [tex]\frac{4}{3}*\pi *r^{3}\\[/tex] is the normal formula.
If you multiply the radius by 5 the it changes to
V = [tex]\frac{4}{3}*\pi *(5r)^{3}[/tex]
And when you simplify you get
V = [tex]\frac{4}{3} * \pi * 125r^3[/tex]
And the only difference between the inital equation and this one is *125 and so the volume is 125 bigger if the radius is multiplied by 5.
6. Erin wants to have more than $150 before she goes shopping for gifts for
the holidays. Each time she babysits, she earns $7.50 per hour. Write and
solve an inequality to find h, the number of hours Erin needs to babysit in
order to meet her goal.
Answer: Erin needs to babysit for 20 hours in order for her to meet her goal.
Step-by-step explanation:
7.50h < 150 divide each side of the equation by 7.50
h=20
Which angle is coterminal to 2pi/3
the correct answer is -4π/3.
This is a very hard question!! its a math riddle, the teacher said that something like this will be in our test.
My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
Answer:
72
Step-by-step explanation:
Let m be the age in years. If s is the son's age in years, then the son is 52x weeks old. If g is the grandson's age in years, then the will be grandson 365m days old. So.... the labels are for the equation.
365m = 52x.
Since the grandson is 12w months old,
12w = months.
Since the grandson, son and the person together are 120 years,
m + x + months = 120.
these are the labels (m, x, and month)
month = 624 x 120 / 1041 = 72.
So, I am basically 72 years old.
hope this helped :D
this is truly very hard.
Answer:
72
Step-by-step explanation:
Molly wants to put a fence around an area. The fence will follow the diagram of the triangle shown below. (Look at picture) About how much fencing does Molly need?
Answer:
Step-by-step explanation:
43feet
Pythagorean theorem :
There’s no diagram or anything. You can just make a triangle ? :)
Looking for A
A= ?
PLEASE HELP AS SOON AS POSSIBLE!!!!!
Answer:
AT THE POINT NUMBER 2 IS INCORRECT !
Step-by-step explanation:
Plzzzzz answer ASAP help meh
Answer:
1= 8
3= 12
5= 16
7= 20
9= 24
Step-by-step explanation:
1+3=4x2=8
3+3=6x2=12
5+3=8x2=16
9+3=12x2=24
ANSWER:1=8
3=12
5=16
7=20
9=24
step -by - step explanation: 1+3=4×2=8
3+3=6×2=12
5+3=8×2=16
9+3=12×2=24
Correct answers only!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$39
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 30 × 10/100 × 3
I = $9
She have = 30 + 9 = $39
3x-y=8 in slope intercept form
Answer:
y=3x−8
Step-by-step explanation:
The table represents the equation y=8x what y-value is missing from the table
Answer:
Step-by-step explanation:
There must be an attachment. I have no knowledge of what to solve for, unless you can tell or show me the missing pieces.
Answer: 1, 3 , 5, and 6
I took the test have a great day!
Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are the
newer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 are
state quarters. Based on this sample, how many of the quarters in the full bag were likely to
be eagle quarters?
300
100
400
200?
Answer:
400
Step-by-step explanation:
The 200 quarters in the full bag were likely to be eagle quarters.
What is the ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
Given that:-
Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are thenewer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 arestate quarters. Based on this sample, how many of the quarters in the full bag were likely tobe eagle quartersWe can conclude from the given data that the ratio of the Eagle and state quarters is 4:6 or 2:3 suppose the common factor is a so the value will be calculated as:-
E + S = 500
2a + 3a = 500
5a = 500
a = 100
E = 2a
E = 2 x 100 = 200
Therefore 200 quarters in the full bag were likely to be eagle quarters.
To know more about ratios follow
https://brainly.com/question/2328454
#SPJ2
Solve 3.4 [ 6 ( 4) +6^2]
Please show your work! <3
Answer:
204
Step-by-step explanation:
3.4[6(4)+6^2]=
3.4[24+36]=
3.4[60]=
204
Hope this helps!
6x + 2 = 26 what is the answer
Answer: x=4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
6x+2=26
Subtract 2 from both sides to isolate the variable
6x=24
Divide by 6
x=4
Monica's family is thinking about going on a vacation. They are debating about whether
to go to Florida, Italy Mexico, or England. They are also trying to decide whether to go for
1 or 2 weeks. List the sample space (all of the possible outcomes) for their vacation
Destination
Vacation
Florida, Italy,
Mexico, England
1 week, 2 weeks
Answer:
{FL1, FL2, IT1, IT2, ME1, ME2, EN1, EN2}
Step-by-step explanation:
This is each location paired with one week, and each location paired with two weeks.
Answer:
c
Step-by-step explanation:
A rectangle is sometimes, always, never similar to another rectangle
Two rectangles can be similar, but that's not always guaranteed.
In fact, similar shapes have the same angles and correspondant sides in proportion.
All rectangles will always have four right angles, so we only have to worry about the sides.
Let [tex]a,b[/tex] be the sides of a rectangle, with [tex]a\leq b[/tex]. Let [tex]c,d[/tex] be the sides of a rectangle, with [tex]c\leq d[/tex].
Then, the two rectangles are similar if and only if
[tex]a\div c=b\div d[/tex]
So, for examples, a rectangle with dimensions 3 and 7 is similar to a rectangle with sides 6 and 14 (both sides have been doubled), but it's not similar to a rectangle with sides 6 and 21 (one side has been doubled, the other has been tripled).
Find the height of a prism with volume 720cm3 and base area 45cm2
Answer:
The height is 16 cm
Step-by-step explanation:
It's just v/b
720/45=16
The height is 16 cm
Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes?
A 5-column table with 2 rows. Column 1 has entries H, H. Column 2 is labeled 1 with entries H 1, H 1. Column 3 is labeled 2 with entries H 2, H 2. Column 4 is labeled 3 with entries H 3, H 3. Column 5 is labeled 4 with entries H 4, H 4.
A 5-column table with 2 rows. Column 1 has entries T, T. Column 2 is labeled 1 with entries T 1, T 1. Column 3 is labeled 2 with entries T 2, T 2. Column 4 is labeled 3 with entries T 3, T 3. Column 5 is labeled 4 with entries T 4, T 4.
A 5-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, H 1. Column 3 is labeled 2 with entries T 2, T 2. Column 4 is labeled 3 with entries H 3, H 3. Column 5 is labeled 4 with entries T 4, T 4.
A 5-column table with 2 rows. Column 1 has entries T, H. Column 2 is labeled 1 with entries T 1, H 1. Column 3 is labeled 2 with entries T 2, H 2. Column 4 is labeled 3 with entries T 3, H 3. Column 5 is labeled 4 with entries T 4, H 4.
Answer:
{H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4}=8
Step-by-step explanation:
Answer:
H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4 I think
Step-by-step explanation:
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answer:
The correct answer is B.
Step by step explanation:
Domain of [tex]x^2-4 : \left [ {{Solution : - \infty} <x<\infty}} \atop {Interval Notation: (-\infty, \infty})}} \right][/tex]
Range of [tex]x^2-4:[/tex][tex]x^2-4 : \left [ {{Solution : f(x)\geq -4}} \atop {Interval Notation: [-4, \infty})}} \right][/tex]
Axis interception points of [tex]x^2-4 :[/tex] X Intercepts: [tex](2,0), (-2,0)[/tex], Y Intercepts: [tex](0,-4)[/tex]
Vertex of [tex]x^2-4:[/tex] Minimum [tex](0,-4)[/tex]
Hope this helps. If so, may I get brainliest and a thanks?
Thank you, Have a good day!
The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
orx?
2/3 pi x ^3
4/3 pi x ^2
2 pi x^3
4 pi x ^3
Answer:
This first expression is correct
V= 2/3*pi*r³
Step-by-step explanation:
This problem bothers on the volume of a cone
We know that the volume of a cone is expressed as
V= 1/3πr²h
Given that h= 2r
Let us substitute h=2r in the formula above
V= 1/3πr²*2r
V= 2/3πr³
The Answer Is:
2/3pix^3