I got 70
Combination=n!/((n-r)!r!)
=8!/((8-4)!*4!)
=8*7*6*5*4!/(4!*4!)
=8*7*6*5/(4*3*2)
=70 ways
14000.00 rate 8% 60 days simple interest
Answer:186.66is answer
p=14000
r=8%
time=60days=2month/12=1/6year
Step-by-step explanation:
simple interest=ptr/100=14000×8×1/600=186.666
PLEASE PLEASE HELP 30 POINTS AND WILL GIVE BRAINIEST
what is the measure of angle ABC
what is the measure of angle CBE
what is the measure of angle DBE
what is the measure of angle ABD
Answer:
Please read down below, thanks
Step-by-step explanation:
Vertical angles are always equal.
Because the two expression we have are equal, we can make the equation:
4x + 2 = 5x - 13
Let's move x to one side and the constants to the other side.
Subtract both sides by 4x and add both sides by 13
15 = x
Now we know x = 15, we can solve for the angles.
∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees
∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees
∠DBE is the same as ∠ABC so: 47 degrees
∠ABD is also the same as ∠CBE so: 133 degrees
Find dy/dx using logarithmic differentiation.
y = (3 + x)^4/x , x>0
Please help will give brainliest.
Answer:
13 petunias
Step-by-step explanation:
13x7=91
9x8=72
add them and you get 163
Determine if the angles are vertical, complementary, or supplementary, and then solve for x. *
x=5
x=16
x=14
x=45
Answer:
x = 14
Step-by-step explanation:
___________________________________________________________
FACTS TO KNOW :-
Linear Pair is a pair of adjacent angles on a straight line whose sum is 180°All linear pairs are supplementary angles (because their sum is 180°) but all supplementary angles are not linear pairs.___________________________________________________________
In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.
As they are supplementary angles , their sum will be 180°.
So ,
[tex](3x) + (7x + 40) = 180[/tex]
[tex]=> 3x + 7x + 40 = 180[/tex]
[tex]=> 10x + 40 = 180[/tex]
Substracting 40 from both the sides ,
[tex]=> 10x + 40 - 40 = 180 - 40[/tex]
[tex]=> 10x = 140[/tex]
Dividing both the sides by 10 ,
[tex]=> \frac{10x}{10} = \frac{140}{10}[/tex]
[tex]=> x = 14[/tex]
Solve log base 2 of one over thirty two.
Answer:
Step-by-step explanation:
Can someone help me with this?
Answer:
ᴀ.)
Step-by-step explanation:
Hope you get it right!! :)
A committee of 3 is to be formed from 5 men and 6 women. (a) What is the probability that a random committee is made up of 2 women and 1 man? (b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Answer:
a) 0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
b) 0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
If the order of the people chosen is important, we use the permutations formula. If the order is not important, we use the combinations formula.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(a) What is the probability that a random committee is made up of 2 women and 1 man?
Order is not important, so we use the combinations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = C_{6,2}*C_{5,1} = \frac{6!}{2!4!}*\frac{5!}{1!4!} = 15*5 = 75[/tex]
Total outcomes:
3 people from a set of 6 + 5 = 11. So
[tex]T = C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{75}{165} = 0.4545[/tex]
0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
(b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Now, the order is important, which means that we use the permutations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = P_{6,2}*P_{5,1} = \frac{6!}{4!}*\frac{5!}{4!} = 30*5 = 150[/tex]
Total outcomes:
3 people from a set of 11. So
[tex]T = P_{11,3} = \frac{11!}{8!} = 990[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{150}{990} = 0.1515[/tex]
0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
The price of stock in a software company drops by $42.60 over a 16-day period. On average, how much does it drop per day?
$2.66
$0.37
$26.60
$2.60
(5x³-7x²+3x-4)-(8x³+2x²+3x-7)
Answer: =−3x^3−9x^2+3
Step-by-step explanation:
Distribute the Negative Sign:
=5x^3−7x^2+3x−4+−1(8x^3+2x^2+3x−7)
=5x^3+−7x^2+3x+−4+−1(8x^3)+−1(2x^2)+−1(3x)+(−1)(−7)
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
Combine Like Terms:
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
=(5x^3+−8x^3)+(−7x^2+−2x^2)+(3x+−3x)+(−4+7)
=−3x^3+−9x^2+3
(10x-4) + ( -7 + x )
What is the average rate of change of the function g(x) = 4 from x = 1 to x = 5? Show your work.
9514 1404 393
Answer:
0
Step-by-step explanation:
The average rate of change of function g on the interval [a, b] is ...
m = (g(b) -g(a))/(b -a)
For g(x) = 4, the average rate of change on the interval [1, 5] is ...
m = (g(5) -g(1))/(5 -1) = (4 -4)/(5 -1) = 0/4 = 0
The average rate of change is zero.
__
The function describes a horizontal line, which has a slope of 0 everywhere. Its average rate of change will be 0 on any interval.
Find the value of x.
A.
10
B.
12
C.
27
D.
43.5
Answer:
C. 27
Step-by-step explanation:
well we can use the pythagorean theorem for this and disregard the 11. so we have the hypotenuse and one side so therefore a^2+b^2=c^2 and if we plug in the numbers it would look like this
16.5^2+x^2=29^2
272.25+x^2=841
x^2=568.75
and from multiple choice we can infer that the answer is obviously bigger than 16.5 because in the picture x is a longer side but it is smaller than 29 and the only answer in between those two numbers given would be C. 27
probar por medio de induccion
Answer:
Wt
Step-by-step explanation:
what is 1/2 times 5/2
Answer:
= 5/4
Step-by-step explanation:
Multiply across, so we will multiply our numerators first.
1 x 5 = 5
Then we multiply our denominators
2 x 2 = 4
Thats why your answer is 5/4
Hope this helps (:
Determine whether the following statements are true and give an explanation or counterexample. If f is not one-to-one on the interval [a, b], then the are of the surface generated when the graph of f on [a, b] is revolved about the x-axis is not defined.
Answer:
Step-by-step explanation:
The missing equation is:
[tex]S = \int ^b_a 2 \pi f(y) \sqrt{1 + f' (y)^2 } \ dy[/tex]
Suppose f = nonnegative function whose first derivative is within (a,b) and it is continuous, Then the area of the surface generated is revolved about the x-axis:
The area of the surface revolution is:
[tex]S = \int ^b_a 2 \pi f(x) \sqrt{1 + f' (x)^2 } \ dx[/tex]
So; if [tex]x = g(y)[/tex] for [tex]y \ \varepsilon \ [c,d][/tex]
Then; substituting a with c and b with d; f(x) also with g(y) and dx with dy;
Then;
[tex]S = \int ^d_c 2 \pi g(y) \sqrt{1 + g' (y)^2 } \ dy[/tex]
SInce;
[tex]g(y) \ne f(y)[/tex]; Then the statement is false.
Provided that the semicircle [tex]y = \sqrt{1-x^2}[/tex] isn't on [tex][-1,1][/tex] interval.
Then, the solid generated by the revolution about the x-axis is a sphere.
However, the surface is well defined and the statement is false.
The area of one face of a cube is 25 square centimeters. What is the volume, in cubic centimeters, of the cube?
Answer:
125 cubic cm
Step-by-step explanation:
Length^2 = 25 so each side length is 5cm
5^3 = 125 cubic cm
The diagram shows two congruent regular pentagons and part of a regular n-sided polygon A. Two sides of each of the regular pentagons and two side of A meet at the pint P. Calculate the value of n.
Answer:
n=10
Step-by-step explanation:
For a regular polygon with n sides, each interior angle, x, is given by
[tex]x=180\frac{n-2}{n}[/tex]
This can be solved for n
[tex]n=\frac{360}{180-x}[/tex]
For the pentagons
x(5)=180(3/5)=108 degrees.
The angles around P sum to 360, so
2(x(5))+x(A)=360
x(A)=360-2(108)=144.
Substitue in the equation for n.
n=360/(180-144)=10
The number of sides in this polygon is 10.
For any polygon, the sum of interior angles is given as,
[tex]\bold{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]
where,
n = number of sides,
We know that for a pentagon, the number of sides is 5.
thus, substituting the values in the sum of interior angle formula we get,
[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]
[tex]{Sum\ of\ interior\ angles= {5-2}\times{180^o}}\\= 3 \times {180^o} = 540^o[/tex]
therfore, each angle in a regular pentagon,
[tex]\dfrac{Sum\ of\ interior\ angles}{Number\ of\ Sides} = \dfrac{540^o}{5} = 108^o[/tex],
Let's assume that polygon A is having x number of sides.
At point P, the sum of the angles must be 360°.
The sum of the angles at point P
= interior angle of the first pentagon
+ interior angle of the second pentagon
+ interior angle of the polygon A with x sides
Substituting the values,
360° = 108° + 108° + z
z = 360° - 108° - 108°
z = 144°
Thus, the interior angle of the x sided polygon is z = 144°.
For a regular polygon, all the interior angles are equal,
so, for a polygon with sides x.
the sum of interior angle = measure of interior angle x Number of sides
= [tex]144^o \times x[/tex]
Also, we know
[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]
Substituting, the values for an x number of side polygon,
[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}\\{144^o \times x = {(x-2)}\times {180^o}}\\144x = 180x - 360\\360 = 180x- 144x\\x = \dfrac{360}{36}\\x = 10[/tex]
Hence, the number of sides in this polygon is 10.
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Find the measure of an angle such that the difference between the measures of its supplement and four times its complement is 30
Answer:
70 degrees
Step-by-step explanation:
x = angle
180 - x = it's supplement
90 - x = it's compliment
(180 - x) - 4(90 - x) = 30
180 - x - 360 + 4x = 30
reducing
3x = 210
x = 70
Julie has $80 to spend on clothes. If she buys a pair of jeans for $24.75, how many shirts can she buy for $12.50?
Answer:
4
Step-by-step explanation:
$80.00 - $24.75 = $55.25
$55.25 ÷ $12.50 = 4 Shirts!
Solve the inequality:
-3t+9 > -21
O t< -10
o t < 10
O t> -10
O t > 10
Answer:
b. t < 10
Step-by-step explanation:
[tex]-3t + 9>-21[/tex]
divide both sides by -3
[tex]t - 3 < 7[/tex]
(you have to flip the sign because you are dividing by a negative)
add 3 to both sides
[tex]t<10[/tex]
The accompanying data set lists the numbers of children of world leaders. Use the data to construct a frequency distribution using six classes and to create a frequency polygon. Describe any patterns.
LOADING... Click the icon to view the data set.
Step-by-step explanation:
bla bla bla.....................
2x + y = 7
-2x - y = 6
Solve systems of equations by substitution
Answer:
No solution.
Step-by-step explanation:
2x + y = 7
-2x - y = 6
From the first equation:
y = 7 - 2x
Plug this into the second equation:
-2x - (7 - 2x) = 6
-2x + 2x = 6 + 7
0 = 13
this doesn't make sense so theer is:
No solution.
write the supplement of : (x+ 35)^0.
please tell fast
Answer:
179
Step-by-step explanation:
(x+35)^0=1
supplement=
180-1
179
-1/4(d+1)<2
HELP ME PLEASE
Answer: u suck at math just dont do it duh
Step-by-step explanation: its five
el área de un rectángulo es 6 x al cuadrado más 2x en cm Determine su base y altura
Answer:
Tres respuestas posibles son:
2 y 3x^2 + x
2x y 3x + 2
x y 6x + 2
y hay muchas mas.
Step-by-step explanation:
Hay muchas respuestas posibles.
6x^2 + 2x = 2(3x^2 + x) = 2x(3x + 2) = x(6x + 2)
Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.
Answer:
mineeeeeeeeeeee
Step-by-step explanation:
Will marks as brain Uh I don’t have to watch ads for like 40 questions and I don’t know if you just get them for answering questions or if I accidentally bought premium help
Ez points-
2.72 divided by 3
Answer:
2.72/3=0.907 (correct to three decimal places)
Step-by-step explanation:
Write an equation for the line in slope-intercept
form.
(Use integers or fractions for any numbers in the
equation.)
Answer:
y = 3x + 5Step-by-step explanation:
Slope-intercept form:
y = mx + b, where m is the slope, b is the y-interceptTake two points from the graph:
(-2, -1) and (0, 5)Find the slope:
m = (5 - (-1))/(0 - (-2)) = 6/2 = 3The y-intercept is b = 5
The line is:
y = 3x + 5