The total number of ways this can be done together is 105 × 66 = 6930
This is a combination question question it has to do with selection.
In order to group 2 men from 15 men, this can be expressed using the combination formula as shown;
15C2 = 15!/(15-2)!2!
15C2 = 15!/13!2!
15C2 = 15×14/2
15C2 = 105 ways
Similarly in order to group 2 women from 12 men, this can be expressed using the combination formula as shown;
12C2 = 12!/(12-2)!2!
12C2 = 12!/10!2!
12C2 = 12×11/2
12C2 = 66 ways
The total number of ways this can be done together is 105 × 66 = 6930
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The net price of a hand phone after allowing trade discount of 20% was RM2,000. Find what is the list price of the hand phone.
Answer:
RM1,600
Step-by-step explanation:
2000 * 0.20= 400
2000-400= 1600
Which element should be used to help clarify a complicated idea in a text? (1 point) O a new topic O a bibliography O a visual O a research question w
The element which should be used to help clarify a complicated idea in a text is ; A research question.
According to the question;
We are required to determine which element should be used to help clarify a complicated idea in a text.A research question is the best fit which should be used to help clarify a complicated idea in a text.
This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.
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Answer:
D:) a research question.
Step-by-step explanation:took the test
solve pls brainliest
Answer:
7
Step-by-step explanation:
To find what 1/8 of 56 is, we can multiply it by 1/8. This makes it 56/8. Dividing 56 by 8 gives 7.
Please help me do this question
Step-by-step explanation:
We need to break up the given expression into two separate fractions so that when they are added together, we will get the original expression.
Note that the denominator is made up of two factors, [tex](2x - 1)[/tex] and [tex](x^2 + 1).[/tex] But note that the 2nd factor is a 2nd order polynomial so as a rule, the numerator of the fraction containing this factor must be an (n - 1)-order polynomial, where n is the order. With that in mind, we can write the general form of the partial fractions as follows:
[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{Ax + B}{x^2 + 1} + \dfrac{C}{2x - 1}[/tex]
[tex]\:\:\:\:=\dfrac{2Ax^2 + Bx - Ax - B + Cx^2 + C}{(2x - 1)(x^2 + 1)}[/tex]
Here, we combined the two fractions to form the equation above. Next, we compare the numerators on either side. Note that we satisfy the equality if we impose the following conditions:
[tex]2A + C = 0\:\:\:\:\:\:\:\:\:\:\:\:\:\:(1)[/tex]
[tex]2B - \:A = 1\:\:\:\:\:\:\:\:\:\:\:\:\:\:(2)[/tex]
[tex]-B + C = 7\:\:\:\:\:\:\:\:\:\:\:\:\:\:(3)[/tex]
To find the values of the constants A, B and C, we need to solve this system of equations. We start by multiplying Eqn(3) by 2 and then adding it to Eqn(2) to get
[tex]-A + 2C = 15\:\:\:\:\:\:\:\:\:\:\:\:\:\:(4)[/tex]
Then, multiply Eqn(1) by -2 to get
[tex]-4A - 2C = 0\:\:\:\:\:\:\:\:\:\:\:\:\:\:(5)[/tex]
Add Eqn(4) to Eqn(5) and we will get
[tex]-5A = 15 \Rightarrow A = -3[/tex]
Now that we know the value of A, we can use this in Eqn(2) to get
[tex]2B - (-3) = 1 \Rightarrow B = -1[/tex]
Next, to solve for C, we use the value of A in Eqn(1) to get
[tex]2(-3) + C = 0 \Rightarrow C = 6[/tex]
Therefore, the given expression can be written as
[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{6}{2x - 1} + \left(\dfrac{-3x - 1}{x^2 + 1}\right)[/tex]
As a check, let's combine the two fractions together:
[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{6}{2x - 1} + \left(\dfrac{-3x - 1}{x^2 + 1}\right)[/tex]
[tex]= \dfrac{6x^2 + 6 - 6x^2 - 2x + 3x + 1}{(2x - 1)(x^2 + 1)}[/tex]
[tex]= \dfrac{x + 7}{(2x - 1)(x^2 + 1)}[/tex]
As expected, we got the original expression.
15.
Use the quadratic model d = -3p^2 + 168p - 315 to predict d if p equals 15.
A. 2880
B. 1845
C. 2160
D. 1530
Answer:
D) 1530
Step-by-step explanation:
I used Desmos :)
Which of the expressions are equivalent to the one below? Check all that apply. (8+2 4+2 A. 8+ (2 - 4) + 2 B. 8.4 + 2 + 2 C. (8 + 2). (4+2) D. (8. 4) + (24) + 2
The value of the equation A = ( 8 . 4 ) + ( 2 . 4 ) + 2 = 42
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 8 + 2 ) . 4 + 2 be equation (1)
On simplifying the equation , we get
A = ( 10 ) 4 + 2
A = 40 + 2
A = 42
Substitute the value of A as
A = ( 8 . 4 ) + ( 2 . 4 ) + 2
On simplifying the equation , we get
A = 32 + 8 + 2
A = 40 + 2
A = 42
Hence , the equation is A = ( 8 . 4 ) + ( 2 . 4 ) + 2
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A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun measured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.
Answer:
radius: 1460 micircumference: 9174 miStep-by-step explanation:
If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...
82.6°/360° = 413/1800 ≈ 0.229444...(repeating)
The relation between the given distance and the circumference is ...
0.294444C = 2105 mi
C = 2105 mi/0.294444 ≈ 9174 mi
The radius of the spherical planet is this divided by 2π:
r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi
The radius of the planet is about 1460 miles; the circumference is about 9174 miles.
Plz help me well mark brainliest only if u are correct!
Answer:
B
Step-by-step explanation:
Since x is being multiplied by -4/5, you need to multiply both sides of the equation by the reciprocal of -4/5 which -5/4.
Answer: B
Please lots of points I wasn’t at school when this was taught
Answer:
4x+2=4x+4, no solution
Step-by-step explanation:
first, i'm assuming the flower bed is a square so that all 4 sides are x+1. next, to find the perimeter you have to add up the side lengths of each shape.
vegetables: x + x+1 + x + x+1 = 4x+2 so the perimeter of the vegetables must be 4x+2
flowers: x+1 + x+1 + x+1 + x+1 = 4x+4
since the two must be equal, we have 4x+2=4x+4, this is the equation Trent can use
next, to solve the equation, subtract 4x from both sides to get 2=4. this obviously isn't true so there is no solution
6.
Write the equation of the parabola in vertex form.
A. y = x2
B. y = 1/4x^2 + 1
C. y = 1/4x^2
D. y = 1/4( x - 2)^2 + 1
Answer: The answer is NOT Letter B
C. y = 1/4x^2
Step-by-step explanation: I used math.way
A. y = x^2 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 0 , 0 ) =Find the vertex form. y = x 2
B. y = 1/4x^2 + 1 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 0 , 1 ) =Find the vertex form. y = 1 /4 ⋅ ( x + 0 ) 2 + 1
C. y = 1/4x^2 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 0 , 0 ) =Find the vertex form. y = 1 /4 x 2
D. y = 1/4( x - 2)^2 + 1 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 1 ) = Already in vertex form. y = 1 /4 ( x − 2 ) 2 + 1
x/33=-2/3i don't know how to solve this some one help me please
Answer:
x/i=22
Step-by-step explanation:
x/33=2/3*i
*33 *33
x=2/3*33*i
/i /i
x/i=2/3*33
x/i=22
Circumference and area of a circular piece of glass
Answer:
Area = πr²
Circumference = 2πr
You can use pie as both 22/7 Or 3.14
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Solve x
2/x -2 = 3/2x+3
Answer:
since we don't have to go back in and you can come over you
Grace wants to collect data on the weight of her puppy as it grows. She decides to construct a table with age in weeks and weight in kilograms as variables. Will the ordered pairs from Grace’s data represent a function, a relation or a neither?
in the Sahara desert one day it was 136°F in the gobi desert a temperature of -50°F was recorded what is the difference between these two temperatures
Answer:
186 °F
Step-by-step explanation:
The difference is found by subtracting the smaller from the larger:
136 -(-50) = 136 +50 = 186
The difference between the two temperatures is 186 °F.
the orginial price of a pumkin is 3 $ if there is a sale of 25 percent of what is the orginial price
Answer:
$12
Step-by-step explanation:
Dora opens a savings account and puts in $ 290 at the start. Every week, she deposits $ 30 in the account. Which type of function would you use to model the relationship between the number of weeks since Dora opened the account, and the amount of money in the account
Answer:
f(x)=290+30x
Step-by-step explanation:
the 290 is for the money initially put in, the 30 is for the thirty dollars, and the x represents the number of weeks.
Samantha had a board that was 6 ft. 8 in. long. She cut off a piece that was 2 ft. 10 in. long. How much board does she have left?
Answer:
she would have 3ft. 10 inches of board
Step-by-step explanation:
Answer:
3ft and 10inches
Step-by-step explanation:
so 6ft 8 in minus 10in is 5ft 10 in
then 5ft minus 2ft is 2ft the rest is a piece of cake
Please take a look at the picture
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C.\:None\:of\:the\:above.}}}}}}[/tex] ✔
[tex]\:\large{\boxed{\frak{ Step-by-step\:explanation: }}}[/tex]
A. [tex]x - ( - x) = -x[/tex]
Let us first solve for L. H. S.
We have,
[tex]x - ( - x)[/tex]
[tex] = x + x[/tex]
[tex] = 2x[/tex]
[tex]≠ - x[/tex]
[tex]≠ R. H. S. [/tex]
Hence, option A is incorrect.
B. [tex]0 - ( - x) = - x[/tex]
Solving for L.H.S. , we have
[tex] = 0 - ( - x)[/tex]
[tex] = + x[/tex]
[tex]≠ - x[/tex]
[tex]≠ R. H. S. [/tex]
Hence, option B is ruled out too.
Therefore, the correct answer is [tex]\sf\red{ option\:C}[/tex].
5x + 4y + 7x + y
Answer ?
Answer:
12x+5y
Step-by-step explanation:
add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y
Answer:
Step-by-step explanation:
5x + 4y + 7x + y
Need to arrange all who have the same variable
=5x + 7x +4y + y
=12x+5y
Find the perimeter of the polygon with the given vertices. Round your answer to the nearest hundredth.
hope this helps
<3
srry if this is wrong
17 1/3 miles in 3 1/4 hours, how many miles per hour?
Step-by-step explanation:
In a recent study at a local college using a simple random sample, 9 students admitted that they had tried alcohol at least once while under the legal drinking age, while 6 students said they had not. Is there enough data to conduct a hypothesis test to see if the percentage of students at the college who admit to drinking underage is the same as the national percentage of 65%
Answer:
No
But it us Near though
Step-by-step explanation:
9/15 or 3/5 =60%
Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.
Image_7181
If Mrs. Smith needs a toy chest that has at least 35 ft3 of storage space, which chest should she purchase
The volume of a cuboid toy chest is equal to their product of the length,
width, and height.
The correct option for the toy chest she should purchase is; Only toy chest A will provide the necessary storage space.Reasons:
The dimensions of the toy chest are;
Toy chest A;
Length = 5 feet
Width = 4 feet
Height = 2 feet
Toy chest B;
Length = 4 feet
Width = 2 feet
Height = 4 feet
Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³
Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³
The volume of the toy chest Mrs. Smith needs = 35 ft.³
The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³
The correct option is; Only toy chest A will provide the necessary storage space
Possible question options obtained from a similar question found online are;
Either toy chest have the storage space needed
Neither has the storage space needed
Only toy chest A
Only toy chest B
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tap the word that "they" refers to
a. birds
b. frogs
c. feets
Step-by-step explanation:
we would a small text, or give us a picture so we can read it, then we can answer this question, without it, I'd have to guess
Write 7% as a fraction or mixed number in simplest form
Answer:
7/100
Step-by-step explanation:
:)
Consider the figure.
(7x + 12) (8x + 3)º
What is the value of x?
Which of these functions would you use to represent the length, width or heigh of a box whose dime
O Quadratic
O 4th-degree polynomial
O Cubic
O Linear
Answer:
Cubic
Step-by-step explanation:
He has widht, heigh and length.
The cubic function is used to represent the length, width or height of a box. The correct option is C.
What is a cubic function?The cubic function is defined as a function having a degree of three. It is the same as that of cubic polynomials.
A cubic function is defined in mathematics as a function of form f(x)=ax³+bx²+cx+d, where the coefficients a, b, c, and d are complex numbers and the variable x takes real values.
The box has three dimensions that are length, width, and height. The volume of the box will be calculated by the product of the three sides of the box.
There are three dimensions involved in the calculation of the volume of the box. It means that the volume will be a cubic function.
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9. A cheetah is located 100 yards away from an antelope. The cheetah begins running on a straight path toward the antelope at a constant speed of 30 yards per second. At the same time, the antelope begins running away from the cheetah at a constant speed of 25 yards per second. If both animals continue to run on a straight path at the same speeds, how long will it take for the cheetah to catch up to the antelope?
It takes 20 seconds for the cheetah to catch up to the antelope
Speed is the ratio of distance to time taken. It is given by:
Speed = distance / time
Let d represent the distance covered by the cheetah at time t, hence:
30 = d / t
t = d / 30
The antelope is 100 yards away, hence:
25 = (d - 100) / t
t = (d - 100)/25
d/30 = (d - 100)/25
25d = 30d - 3000
d = 600 yards
t = d/30 = 600/30 = 20 seconds
It takes 20 seconds for the cheetah to catch up to the antelope
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A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the number of parrots at the zoo? Simplify your ratio.
Answer:
1:4
Step-by-step explanation:
A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or 1:4.