The first group of three wolves can be formed in 28 ways.
We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.
What is the meaning of combination?
A combination is a combination of n things taken k at a time without repetition.
We need to choose 1 male wolf out of 1 wolf male. So we can choose one wolf as
[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]
We can choose 1 male wolf in only 1 way.
Since the female wolfs are identical that means order doesn't matter, so we will use combinations.
We can choose 2 female wolves out of 8 as
[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]
Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.
We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.
Number of ways farming first group of three wolves
1(28)=28
Therefore, the first group of three wolves can be formed in 28 ways
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Which expression has a sum of one and eight thirtieths?
-three sixths + three fifths
-four sixths + three fifths
-four sixths + four fifths
-five sixths + one fifth
Answer:
four sixths + three fifths.
Step-by-step explanation:
1 8/30 = 38/30.
4/6 + 3/5
= 20/30 + 18/30 = 38/30.
Find the values of x and y
x=
and
y=
Answer:
x = 61
y = 29
Step-by-step explanation:
The angle with the measure of 58 degrees and the angle represented by 2x are supplementary because they form a straight line.
2x + 58 = 180 subtract 58 from both sides
2x = 122 divide both sides by 2
x = 61
The angle represented by 2x and the angle represented by 58 are corresponding and their measure is equal to each other
2y = 58 divide both sides by 2
y = 29
Dan the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 5 who did Plan B. On Tuesday there were 6 clients who did Plan A and 2 who did Plan B. Dan trained his Monday clients for a total of 10 hours and his Tuesday clients for a total of 10 hours. How long does each of the workout plans last?
*Please help me by today if able*
find the percentage profit in each case cost price 20 selling price 25
Step-by-step explanation:
please mark me as brainlest
Answer:
for profit percentage
p% =(sp-cp/cp)×100%
=(25-20/20)×100%
=25%
The profit percentage is 25%
Question
Which of the following is NOT in scientific notation?
A. 9.308 x 105
B. 2.758 x 10-6
C. 1.043 x 108
D. 0.316 x 10-4
Answer:
D
Step-by-step explanation:
this is not standard form
Answer:
D
Step-by-step explanation:
The first number should be equal to or greater than one but less than 10
Koalas weigh 6 kilograms on average. how many cells are in the average koala.
please help convert the time
Answer:
215 minutes
Step-by-step explanation:
1 hour = 60 min
3x60=180
180+35=215
Answer:
The answer is 215 minutes
Step-by-step explanation:
1 hour is 60mintues
you have 3 hours so you would do
60+60+60=180 or 60*3=180
then take the 35 minutes you have and add those together.
180+35=215 total minutes
Hope this helps mark brainliest please! :)
Let T be the set of things found in a toy store, and V be the set of things that cost more than $50.
Select the words from the drop-down menus to correctly complete the sentences.
The set T∪V is the set of things that
Choose...
.found in a toys store and cost more then 50$
found in a toys store or cost more then 50$
The set T∩V is the set of things that
Choose...
.found in a toys store and cost more then 50$
found in a toys store or cost more then 50$
The set T′ is the set of things that
Choose...
cost under 50$
not found in toy store
not found in toy store and cose more then 50
Answer:
found in a toys store and cost more than 50$
Step-by-step explanation:
it makes the most sense don't you think?
Identify the equation in slope-intercept form for the line containing the points
(3,5) and (2,-5)
Choices:
y = 3x − 15
y = 5x − 25
y = 10x − 25
y = 5x + 10
Pls help
Answer:
Third Option y=10x-25Step-by-step explanation:
Identify the equation in slope-intercept form for the line containing the points
(3,5) and (2,-5)
Choices:
y = 3x − 15
y = 5x − 25
y = 10x − 25
y = 5x + 10
Pls help
Sooo let’s solve this….
Notice the x-axis
Slope Intercept form changes at a constant rate soooo… from (3,5) to (2,-5)
The axis goes left by 1
On A graph the more to the left the smaller number get.
The Y-axis goes down by 10 from the bigger point
But…..
It’s really not going left 1 and 10 down you always start with the smaller point so from
(2,-5) to (3,5) It goes Right 1 and 10 up
Knowing this
Slope Intercept form
Y=mx+b
Where m=slope
b= y-intercept where the line crosses x=0
Our Slope Is 10
Because from -5 to 5 you have to add 10 to get the other value
y=10x+b
But lets just figure out the y-intercept to be sure.
We want the X-axis to be 0 so we will be going left until we get to 0
So We get this point (2,-5)
Knowing that we go up 10 and right 1 to get to the higher value we will do the opposite.
We will go 1 to the left and 10 down
(2,-5)
(1,-15)
(0,-25) As you can see x=0 so the y-intercept will be -25
y=mx+b
m=slope
b= y-intercept
y=10x-25 The Third Option is the Answer….
SonicIsCoool, at your service if you need any help :)
your dog weighs 18 kilograms. the medication dosage is 1 milliliter per every 10 pounds. rounded to the nearest milliliter, how many milliliters of medication should you give your dog? 1 kilogram = 2.2 pounds
A) 2mL
B) 3mL
C) 4mL
D) 5mL
Answer:4mL
Step-by-step explanation: if you multiply 18 by 2.2 you would get 39.6, you would divide by 10 to get 3.96, then you would round to the nearest whole number so you’d get 4.
By using a change of units, we will see that the dog needs 4 mL of medication.
How many milliliters of medication should you give your dog?
Here we need to see how many pounds are in 18 kilograms, using the relation:
1kg = 2.2lb
We get:
18 kg = 18*(2.2lb) = 39.6 lb
Now, for each 10 lb, we add 1mL of medication, then we need to divide the mass of the dog by 10lb, we get:
M = (39.6 lb)/(10 lb) = 3.96
Rounding to the next whole number we get 4, so the dog needs 4 mL of medication.
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The area of a square is 9ft find the area of a square with 4 times as large
Answer:
36ft
Step-by-step explanation:
9ft times 4ft= 36ft
What is the mode of the data set?
8
9
10
5
Answer:
8
Step-by-step explanation:
It has the highest frequency
Solve the question in the picture and write the correct answer
Answer:
36.24 cm²
Step-by-step explanation:
The shaded region is the inscribed circle in the isosceles triangle. In order to find its area, we need to know the radius of the circle.
__
One way to find the radius of the circle is to make use of the Angle Bisector theorem. It tells us an angle bisector divides the sides of a triangle proportionately. In the attached figure, that means angle bisector CD divides segment AE in proportion to sides CA and CE.
Side LengthTo make use of this theorem, we need to know the length of side CA. That is the hypotenuse of right triangle AEC, so can be found using the Pythagorean theorem. Isosceles triangle ABC is given as having height AE=10 and base BC = 12.
CA² = CE² +AE²
CA² = 6² +10² = 136 . . . . . . . CE is half the base length: 12/2 = 6
CA = √136 = 2√34
__
RadiusNow we can write the proportion using the angle bisector theorem.
DE/CE = DA/CA
r/6 = (10 -r)/(2√34)
r√34 = 3(10 -r) . . . . . . . multiply by 6√34
r(3 +√34) = 30
r = 30/(3 +√34)
__
AreaFrom this, we can find the area of the shaded circle to be ...
A = πr² = (3.14)(30/(3 +√34))²
= 3.14·900/(43 +6√34) ≈ 36.2374 . . . cm²
The area of the shaded region is about 36.24 cm².
_____
Additional comment
Using area considerations, the formula for the radius of the inscribed circle in an isosceles triangle with base 'b' and sides 'a' can be found to be ...
[tex]r=\dfrac{b}{2}\sqrt{\dfrac{2a-b}{2a+b}}[/tex]
For a=√136 and b=12, this becomes ...
[tex]r=\dfrac{12}{2}\sqrt{\dfrac{2\sqrt{136}-12}{2\sqrt{136}+12}}=6\sqrt{\dfrac{(\sqrt{34}-3)^2}{34-9}}=1.2(\sqrt{34}-3)\approx3.39714[/tex]
This is the same value we found above.
(5) to the 7 over 3 power
[tex]5^{7/3} = 42.75[/tex] (approximately)
using the formula [tex]x^{a/b}=\sqrt[b]{x^a}[/tex] we can solve the problem
so we rewrite it as [tex]\sqrt[3]{5^7}[/tex] and get ~42.75
y= -2x - 3
y= 7x + 6 solve by elimination
Answer:
x = y = - 1
Step-by-step explanation:
y = - 2x - 3
y = 7x + 6 -----> equation 1.
So,
7x + 6 = - 2x - 3
7x + 2x = - 3 - 6
9x = - 9
Divide 9 on both sides,
9x / 9 = - 9 / 9
x = - 1
Substitute x = - 1 in equation 1,
y = 7x + 6
= 7 ( - 1 ) + 6
= - 7 + 6
= 6 - 7
y = - 1
Therefore,
x = y = - 1
Step-by-step explanation:
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Square roots are the opposite of ____________.
Answer:
Squaring a number.
Step-by-step explanation:
The square root is an operation that undoes an exponent of 2, which is the inverse operation of squaring a number.
x/6 = 15/18
I NEED ASAP!!!
X/6 = 15/18
Cross multiply:
18x = 15 times 6
18x = 90
Divide both sides by 18
X = 5
5/6 = 15/18
Answer:
X= 5Step-by-step explanation:
X= 15 x6
18
X= 5I guess it is correct
stay safe6-10 divide, another onee thank you!!
Answers:
10.) [tex]\displaystyle \pm{5}[/tex]
9.) [tex]\displaystyle 1\frac{1}{2}[/tex]
8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]
7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]
6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]
Step-by-step explanations:
10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]
9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]
8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]
7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]
6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]
I am joyous to assist you at any time.
Find the highest number which divides 144,384 and 432 without leaving remainder
Answer:
i think its 48
since 144384 divided by 48 would be 3008 and 432 divided by 48 would be 9. I believe thats the highest it can go to.
A state park is designed in a circular pattern as shown in the diagram. Marta rides her bike along the circular path from the ranger station to the pool. How far does she ride? Round your answer to the nearest tenth of a mile. Show your work please
Answer:
2.3 miles
Step-by-step explanation:
Given by the circular pattern as shown in the diagram:
Ranger station to Nature Center = 90°
Nature center to petting zoo= 40°
Petting zoo to Tennis court =120°
Tennis court to Pool = 65°
Pool to Ranger station= 45°
The radius of the circular pattern = 1 mile
Formula:
Arc length = 2πr angle / 360° where r is radius and π=3.14
Solution:
Thus,
Arc length = 2×3.14×1×90°/360°
Arc length=2×3.14×1×1/4 =1.57 miles
Distance from Nature Center to Petting Zoo
Arc length= 2×3.14×1×40°/360°
Arc length= 2×3.14×1×1/9 = 0.70 miles
Total =1.57+0.70 =2.27 miles
Answer to the nearest tenth = 2.3 miles
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What is the period of the cosecant function graphed below?
A) pi/2
B) pi
C) 3pi/2
D) 2pi
o have $25,000 to spend on a new car in five years, how much money should Jill invest today at 8% compounded monthly?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$25000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases}[/tex]
[tex]25000=P\left(1+\frac{0.08}{12}\right)^{12\cdot 5}\implies 25000=P\left( \frac{151}{150} \right)^{60} \\\\\\ \cfrac{25000}{\left( \frac{151}{150} \right)^{60}}=P\implies 16780.26 \approx P[/tex]
Last question please help!
Answer:
Angle BFC.
Step-by-step explanation:
Because angle BFD is a right angle because angle AFE is equal to BFD because of vertical angles
pLs HeLp Mememememe :((((((((((((((((((((( (
Answer:
21/2
Step-by-step explanation:
10.5 is correct, but that's a decimal
21/2=10.5
Answer:
21/2
Step-by-step explanation:
10*2 = 20
then 20 + 1 = 21
to get your answer which is 21/2
PLEASE RATE!! I hope this helps!!
If you have any questions let me know
The point (-1, 3) is the turning point of the graph with equation y = x2 + ax + b,
where a and b are integers.
Find the values of a and b.
Answer:
a = 2
b = 4
Step-by-step explanation:
Δy = 2x + a.................for turning point, Δy/Δx = 0.
Δx
0 = 2x + a
x = -a/2.........from ( -1, 3), x = -1...............so,
-1 = -a/2.................a = 2.
y = x^2 + ax + b.
y = 3 , a = 2.................substitute.
3 = (-1)^2 + 2(-1) + b
3 = 1 -2 + b
b = 4
Answer:
The turning point of a parabola is the vertex
Vertex form of a quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex and a is the coefficient of the variable x²)
Given:
[tex]\sf y=x^2+ax+b[/tex]vertex = (-1, 3)Therefore, a = 1
Substituting a = 1 and the given vertex into the equation:
[tex]\sf \implies y=1(x-(-1))^2+3[/tex]
[tex]\sf \implies y=(x+1)^2+3[/tex]
[tex]\sf \implies y=x^2+2x+1+3[/tex]
[tex]\sf \implies y=x^2+2x+4[/tex]
Therefore, a = 2 and b = 4
If u = 3 inches, v = 4 inches, w = 7 inches, x = 7 inches, y = 8 inches, and z = 4 inches, what is the area of the object?
Answer:270
Step-by-step explanation:
Length:
U = 3 inches
W = 7 inches
Y = 8 inches
Add them up: 18 inches all together.
Width:
V = 4 inches
X = 7 inches
Z = 4 inches
Add them up: 15
A= L x W —> 15 x 18 = 270
Find the average rate of change between n=1 and n=3
Answer:
there is not enough information to solve
Step-by-step explanation:
You need two ordered pairs to calculate the average rate of change.
Let's say the value of the function at n = 1 is a, and the value of the function at n = 3 is b, then the average rate of change from n = 1 to n = 3 is
(b - a)/(3 - 1) = (b - a)/2
what are the names of transversal lines?
Ty po in advance♡︎
REPORT:
NON SENSE ANSWER
NAGHAHAKOT NG PTS
BRAINLIEST:
RIGHT ANSWER
A transversal line is a line that crosses through two lines on the same plane.
Example:
I attached a photo below showing the Transversal line (the line in red) crossing two lines located on the same plane. Note: The Transversal line is only the red line, not the whole diagram below.
I am open to corrections if I unintentionally added false information :).
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1. Are we limited to using a trigonometric function only in cases of an object that has a cyclical behavior? Is it possible to model physical, permanent, structures using the trigonometric functions?
2. Why can the movement of a yo-yo be modeled by a sinusoidal curve?
Trigonometric functions are not only used in cases of an object that has a cyclical behavior.
What is a trigonometric function?It should be noted that trigonometric functions are real functions that relate the angle of a right angled triangle to the ratios of the two side lengths.
Trigonometric functions are not only used in cases of an object that has a cyclical behavior. It can be used to obtain unknown angles in geometric figures.
It can also be used to model the fluctuations in temperature data for a particular year.
The movement of a yo-yo can be modeled by a sinusoidal curve since it exhibits a periodic behavior.
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How do you reduce 3.75 to its lowest terms
Answer: 3.75 is at it's lowest terms. if you mean fractions its 15/4 or 3 & 3/4
Step-by-step explanation: