Answer:
35
Step-by-step explanation:
To find this, we are going to use the combination formula as follows;
nCr = n!/(n-r)!r!
In this case, n = 7 and r = 3
Substituting these values;
7C3 = 7!/(7-3)! 3! = 7!/4!3! = 35
Simplify: 2⁶X5⁴X3¹²/2²x5²x3⁴
Step-by-step explanation:
2⁶X5⁴X3¹²/2²x5²x3⁴
2⁴ × 5²×3⁸
Answer:
Step-by-step explanation:
[tex]\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}, m>n[/tex]
In exponent division, if both numbers have same base, subtract the exponents.
Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x
Answer:
1.5
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{3}^x[/tex]
[tex]Options: 0.3\ 0.9\ 1.0\ 1.5[/tex]
Required
What value cause a stretch
For the function to stretch, then the scale factor must be greater than 1.
From the list of options.
Only 1.5 is greater than 1 i.e. [tex]1.5 > 1[/tex]
Hence, 1.5 will cause a stretch.
Answer:
ITS D. 1.5
Step-by-step explanation:
(20 points)
Question from Similarity
Answer:
45 is the anwser
Step-by-step explanation:
thank you
you buy 60 of your favorite songs from a web site that charges $0.98 for each song. what is the cost of 60 songs ? use mental math
Answer:
$58.8
Step-by-step explanation:
You will take 60 which is the the amount of songs you bought then multiply it by .98. This will then give you 58.8
The table represents the cost of flowers at the Tigerlily Flower Shop.
Answer:
The given table is
Quantity(x) Price(y)
1 2.00
2 3.50
3 5.00
4 6.50
5 8.00
6 9.00
It means the points on the graph are (1,2), (2,3.50), (3,5), (4,6.50), (5,8) and (6,9).
The graph 1 represents all the above mentioned point, therefore option 1 is correct.
According to the graph 2, at quantity 6 the price of flower is 12, which is not correct. Therefore option 2 is incorrect.
The quantity of flower is always a whole number. So the graph is defined on the whole numbers only. It means the graph is a scatter plot instead of a curve of a straight line.
Therefore the option 3 and 4 are incorrect.
Step-by-step explanation:
3f x 4f⁴
……………………………….
Step-by-step explanation:
3f×4f^412f^5hope it helps
stay safe healthy and happy.....Answer:
12f^5
Step-by-step explanation:
3f x 4f⁴
=3x4xf^(4+1)
=12xf^(5)
=12f^5
Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
secA = [tex]\frac{65}{63}[/tex]
Step-by-step explanation:
cscA = [tex]\frac{65}{16}[/tex] = [tex]\frac{hypotenuse}{opposite}[/tex]
This is a right triangle with hypotenuse = 65, opposite = 16 and
adjacent = [tex]\sqrt{65^2-16^2}[/tex] = 63
Then
secA = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{65}{63}[/tex]
A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
Answer:
3mm brainliest please
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
9mm times 1:3 of the rectangle is 245
Claire is driving a car traveling a steady of 63 miles per hour She drives for 3 hours. How far does she drive?
Answer:
189 miles
Step-by-step explanation:
63 miles per hour means 63 miles every hour, if she went at this speed for three hours, just multiply 63*3 and you get 189 miles. :)
Answer:
189 miles
Step-by-step explanation:
Claire drives at 63 miles in 1 hour.
Therefore in 3 hours she drives 63 × 3 = 189 miles
15
A spinner on a board game has a radius of 3 inches and spins on a circular region as shown in the
figure.
3 in
The center of the circular region is the origin and the spinner's initial position is on the positive
x-axis. Rachel flicks the spinner, causing it to rotate 600°. What are the coordinates of the tip of
the spinner when it stops?
3
313
А
2
2
313
3
B
2
2
V3
с
1
2'
2.
V3
1
D
)
2
2
Answer:
Option A ( -3/2 , [tex]\frac{-3\sqrt{3} }{2}[/tex] )
Step-by-step explanation:
According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .Now We Are on ( -X axis ) & Completed 360*+180*=540* RotationNow After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)(For Diagram, Please Find in attachment)
Now In Triangle OAB
Cos60* = OA / OB1/2 = -X / 3 Thus X= -3/2
Sin60* = AB / OB[tex]\sqrt{3}[/tex]/2 = -Y / 3 Thus Y = -[tex]\sqrt{3}[/tex] * 3 /2
Can someone pls help me with this?!
Answer:
1188
Step-by-step explanation:
33 X 36 = 1188
TO FIND AREA: Height x width= area
Height is 33 Width is 36
40 is just a distraction! :)
I will give BRAINLIEST to the correct answer
Answer:
<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.
3M+58+8M+155=180
11M=180-213
11M=-33
M=-3
SO,
<PCH
3M+58
=3*(-3)+58
=58-9
=49-DEGREE
PLEASE PLEASE PLEASE HELP/// NO LINKS OR RANDOM ANSWERS, REALLY IMPORTANT :(
Answer:
side a = 17.58722
angle a = 41.96 degrees
angle b = 47.04 degrees
Step-by-step explanation:
Obtuse Scalene Triangle
Side a = 19.25
Side b = 17.58722
Side c = 26.3
Angle ∠A = 47.04° = 47°2'23" = 0.821 rad
Angle ∠B = 41.96° = 41°57'37" = 0.73234 rad
Angle ∠C = 91° = 1.58825 rad
C=91°B=41.96°A=47.04°b=17.587a=19.25c=26.3
Area = 169.25122
Perimeter p = 63.13722
Semiperimeter s = 31.56861
Height ha = 17.58454
Height hb = 19.24707
Height hc = 12.87082
Median ma = 20.19553
Median mb = 21.30255
Median mc = 12.92339
Inradius r = 5.36138
Circumradius R = 13.152
Vertex coordinates: A[0, 0] B[26.3, 0] C[11.98551, 12.87082]
Centroid: [12.76184, 4.29027]
Inscribed Circle Center: [12.31861, 5.36138]
Circumscribed Circle Center: [13.15, 0.22953]
i don’t know what the anwsered would be i don’t understand this module
Answer:25,000(0.15)^x
Step-by-step explanation:
I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.
Which statement correctly describes the graph of g(x) = f(x - 9) ? x = 6 A. Function ghas the same horizontal and vertical asymptotes as function f. OB. Function g has the same horizontal asymptote as fand a vertical asymptote at . OC. Function g has the same horizontal asymptote as fand a horizontal asymptote at x = 9. D. Function ghas the same vertical asymptote as fand a horizontal asymptote at y = - 5 .
Answer:
-5
Step-by-step explanation:
The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here,
We have to determine:
Which statement correctly describes the graph of g(x) = f(x - 9)?
According to the question
Graph; g(x) = f(x - 9)
here, we have,
The straight-line x=6 is a vertical asymptote of the graph of the function g(x) = f(x - 9) if at least one of these conditions is true:
we have,
A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.
we know,
Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.
Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.
To know more about Function click the link given below.
brainly.com/question/1491466
#SPJ7
PLEASE HELP ITS DUE TODAY THANKS!
Answer:
105.12
Step-by-step explanation:
Find the area of the rectangle (8 x 10 = 80)
Find the area of the whole circle (3.14 x 4^2 = 50.24)
Divide the area of the circle by 2 since it is a semi circle (50.24 / 2 = 25.12)
Add the area of the two (25.12 + 80 = 105.12)
Pls pls pls pls pls help
Solve for x.
Solve for x!
Answer:
x=70
Step-by-step explanation:
All the angles in a triangle have to add up to 180. 40 degrees is already taken up so there is 140 degrees left. There are 2 remaining angles, so 140/2=70. x=70.
Hope this helps!
Answer:
70
Step-by-step explanation:
all the angles add up to 180
180= 40 +x +x
180-40=2x
140=2x
140/2=x
x=70
The question in the photo
Pls help
I went on Doyourmath, and it helps me if the image didn't help then I am sorry, but I am truly hoping I answered your question.
Which number is larger
Answer:
9
Step-by-step explanation:
When there are any negatives they will always be less then a positive.
-10,-9-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10
The larger the negative the less it is since its so far away from the middle (0)
-Greatest to least
-8,-5,3,9
e) In a survey of a group of people, it was found that 80 people liked to drink tea, 55 liked coffee, 25 liked both and 30 people did not like both tea and coffee. (i) Illustrate the above information in a Venn-diagram (ii) How many people were surveyed? (iii) How many people liked tea only? (iv) How many people liked coffee only? with full process
Answer:
the answer is given on the picture
The number of people like only coffee is 30 and the number of people like only tea is 55.
What is the Venn diagram?A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.
Let T=tea and C=coffee
n(T)=80
n(C)=55
n(T∩C)=25
People did not like both tea and coffee=30
ii) Number of people surveyed
n(T∪C)=n(T)+n(C)-n(T∩C)
= 80+55-25
= 110
Then,
n(∪)=n(TUC)+People did not like both tea and coffee
= 110+30
= 140
iii) Number of people like only Tea
=n(T)-n(T∩C)
=80-25
=55
iv) Number of people like only coffee
=n(C)-n(T∩C)
= 55-25
= 30
Therefore, the number of people like only coffee is 30 and the number of people like only tea is 55.
To learn more about the Venn diagram visit:
https://brainly.com/question/28060706.
#SPJ2
The general term of a sequence if Tn = 2n, what will be its 50th term?
Answer:
100
Step-by-step explanation:
Given:
Tn = 2n
Where,
n = nth term
what will be its 50th term?
Tn = 2n
T(50) = 2(50)
= 100
T(50) = 100
Therefore,
The 50th term = 100
rewrite Y=4-3x+x squared
in standard form and correctly
Answer:
Step-by-step explanation:
y = 4 - 3x + x^2 is to be rewritten in standard form. To do this, rearrange the terms in order of powers of x, from highest to lowest.
y = 4 - 3x + x^2 becomes y = x^2 - 3x + 4
What integer values satisfy both inequalities? -1 < x ≤ 2 -2 ≤ x < 3
Answer:
0,1and2 brainliest me plsss po
differentiate the following by using "limit"
[tex] \displaystyle \frac{d}{dx} \sqrt{x} [/tex]
Answer:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]
Step-by-step explanation:
we want to differentiate the following by using limit:
[tex] \displaystyle \frac{d}{dx} \sqrt{x} [/tex]
derivative definition by limit given by
[tex] \rm \displaystyle \frac{d}{dx} = \lim _{\Delta x \to 0} \left( \frac{f(x + \Delta x) - f(x)}{ \Delta x} \right) [/tex]
given that,
f(x)=√x
so,
f(x+∆x)=√(x+∆x)
thus substitute:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \right) [/tex]
multiply both the numerator and denominator by the conjugate of the numerator:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \times \frac{ \sqrt{x + \Delta x} + \sqrt{x} }{\sqrt{x + \Delta x} + \sqrt{x}} \right) [/tex]
simplify which yields:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ (\sqrt{x + \Delta x}) ^{2} - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
simplify square:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{ \Delta x \to 0} \left( \frac{ x + \Delta x - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
collect like terms:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \Delta x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
reduce fraction:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ 1 }{ (\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
get rid of ∆x as we are approaching its to 0
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ \sqrt{x } + \sqrt{x}} [/tex]
simplify addition:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]
and we are done!
The probability the Sam sleeps for less than 6 hours is 0.25 work out the probability that Sam sleeps for 6 hours or more
Step-by-step explanation:
h na jwhwwhwhwhwhwhwhwhwjjwjwjwjje i don't know thrle answer
Which point lies on both y=5x−3 and y=−4x+6 ?
(4, 14)
(3, 1)
(3, 10)
(2, 6)
(1, 2)
8. On what day did Alfonso run faster? Day Distance (m) Time (min) Monday 1,020 6 Wednesday 1,554 9 a. Wednesday b. Monday
Which of the following is equivalent to
11/18?
A. 0.61
O B. 0.61
C. 0.61
D. 0.611
Which answer is the correct answer above?