Answer:
990 ways to choose 6 starters out of 14 with exactly two of the three triplets.
Step-by-step explanation:
Ways to choose 2 of the triplets
= C(3,2) = 3! / (2!1!) = 3
Ways to choose the remaining 4 starters out of 11 players left
= C(11,4) = 11! / (4!7!) = 330
Total number of ways to choose 6 starters
= 3*330 = 990
Please please help me
Answer:
A = 189 cm²Step-by-step explanation:
The area of a parallelogram is equal to the product of the length of its side and the height of the parallelogram perpendicular to that side.
H = 9 cm
S = 21 cm
A = S•H = 21 cm • 9 cm = 189 cm²
Simplify help pls: 13x(3x-32y)
Answer:
[tex]39x^2-416xy[/tex]
Step-by-step explanation:
To simplify, we have to distribute the 13x to 3x and -32y. To distribute, we multiply 13x with the first number, and then the second.
[tex]13x*3x=39x^2\\13x-32y=-416xy\\39x^2-416xy[/tex]
The first number is squared ([tex]39x^2[/tex]) because when two [tex]x[/tex]s get multiplied by each other, then it creates a square. We never do this: [tex]39xx[/tex]
Our answer is:
[tex]39x^2-416xy[/tex]
Hope this helps!
Answer:
[tex]\boxed{39x^2-416xy}[/tex]
Step-by-step explanation:
[tex]13x(3x-32y)[/tex]
First step into solving the problem will be to apply the distributive law.
[tex]13x(3x)+13x(-32y)[/tex]
Multiply the terms and simplify.
[tex]39x^2 +-416xy[/tex]
The volume of the Sun is about 1.41 x 10^18 cubic kilometers. The volume of Earth is about 1.09 x 10^12 cubic kilometers. The number of Earths that can fit inside the Sun can be found by dividing the Sun's volume by Earth's volume. Find this quotient and express the answer in scientific notation.
Answer:
1290000
Step-by-step explanation: Given that
The volume of the Sun is about = 1.41 x 10^18 cubic kilometers.
The volume of Earth is about 1.09 x 10^12 cubic kilometers.
The number of Earths that can fit inside the Sun can be found by dividing the Sun's volume by Earth's volume.
= Volume of Sun ÷ Volume of the Earth
= 1.41 x 10^18 cubic km/1.09 x 10^12 cubic km
= 1.41 x 10^18/1.09 x 10^12
=(1.42/1.09)× 10^18-12
= 1.29×10^6
n is 1.29×10^6.
Hence the number of Earth that can be fitted in the Sun is 1290000
Transversal m intersects lines a, b, and c such that m∠1=42° and m∠2=140° and m∠3=138°. Which lines are parallel?
Answer:
Lines a and c.
Step-by-step explanation:
m∠1=42° and m∠3=138°. 42 + 138 = 180, so the two angles form a 180° angle. That means that lines a and c are parallel.
Hope this helps!
Answer:A is parallel to C
Step-by-step explanation:
Statement | Reason
42*+138*=180* |Corresponding angles
There fore A||C aka a parallel to c
42*+140*=180* | Same side int. angles
Therefore A no || B aka A is not parallel to B
138*=140* | Same side int. Angles
Therefore B And C are not parallel and A,B. and C are not parallel
The answer is A||C or A is parallel to C
The inequality x > y is satisfied by point (5,5).
true false
Answer:
There is not enough information.
Step-by-step explanation:
The final exam had three times as many points as the first test, plus a bonus question worth 25 points . The final exam was worth 160 points (including the bonus). How many points was the first test worth?
Answer:
45
Step-by-step explanation:
The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.
Answer:
45
Step-by-step explanation:
The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.
Please help me with this question ASAP!
Answer:
The fourthStep-by-step explanation:
[tex]x^2+y^2-14x+10y+25=0\\\\x^2-14x\ +\ y^2+10y+25=0\\\\\underline{x^2-14x+49} -49+\underline{y^2+10y+25}=0\\\\\underline{x^2-2\cdot x\cdot7+7^2}-49+\underline{y^2+2\cdot y\cdot5+5^2}=0 \\\\\underline{(x-7)^2}-49+\underline{(y+5)^2}=0\\\\\underline{\underline{(x-7)^2+(y+5)^2=49}}[/tex]
5) The solution of (2x - 1)2 = 9 is equal to
d) 21
a) - 1
b) 2
c) - 1,2
d) None of these
6) The GCD of x2 - 2xy + y2
Answer:
Q5 d
Step-by-step explanation:
(2x-1)2=9
4x-2=9
4x=9+2
4x=11
x=2.75
ans: none of these
f(x) = x2. What is g(x)?
Answer:
A
Step-by-step explanation:
consider the form g(x) = aX^2, where a is negative, means the curve is flip upside down.
-3, shifted down for 3 units.
Please answer it now in two minutes
Answer:
VX = 8.8 in
Step-by-step explanation:
By applying Sine rule in the right triangle WXV,
Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{VX}}{\text{WX}}[/tex]
Sin(34)° = [tex]\frac{VX}{15}[/tex]
VX = 15.Sin(34)°
= 8.8379
≈ 8.8 in.
Therefore, measure of side VX is 8.8 in.
What equation represents the slope intercept from the line below y intercept ( 0, 2) slope -3/7 ( PLEASE HELP FAST TOP ANSWER GETS BRAINLIEST!!)
Answer:
[tex]\boxed{Option \ A}[/tex]
Step-by-step explanation:
y-intercept = b = 2 [y-intercept is when x = 0]
Slope = m = -3/7
Putting this in slope-intercept equation
=> [tex]y = mx+b[/tex]
=> [tex]y = -\frac{3}{7}x + 2[/tex]
Answer:
a
Step-by-step explanation:
Guys.... Help me find it... Wether it is true or false.. With reasons 1rst one is BRAINLIEST.... Only the one who gave with REASON
Answer:
false
Step-by-step explanation:
x/11 +1=7/15
x/11 =7/15 - 1
x/11 = -8/15
They are unequal .So, It is false
Answer:
C) False
D) True
Step-by-step explanation:
C. False
[tex] \frac{x}{11} + 1 = \frac{7}{15} = \frac{x}{11} = \frac{7}{15} + 1 = \frac{7 + 15}{15} = \frac{22}{15} [/tex]
We can see that they are never equal.
D. True
Both have 'x' and 'y' as they terms.
Hope this helps ;) ❤❤❤
Please help me with this. I am really struggling...
Simplify tan theta times sin theta
Answer:
tan θ × sin θ
From trigonometric identities
[tex] \tan(θ) = \frac{ \sin(θ) }{ \cos(θ) } [/tex]
So we have
[tex] \frac{ \sin(θ) }{ \cos(θ) } \times \sin(θ) [/tex]
We have the final answer as
[tex] \frac{ \sin(θ)^{2} }{ \cos(θ) } [/tex]
Hope this helps you
A shoe salesperson earns a 5% bonus on weekly sales over $3,000. Consider these functions to answer the following questions. f(x) = x – 3,000 g(x) = 0.05x Part A In your own words, explain what each of the functions represents.
Answer:
g(x)= 0.05x represents the amount of bonus, f(x)=x-3,000 represents weekly sales over $3,000.
Step-by-step explanation:
The function f(x) represents how much money earned by sales person weekly over $3000.
And function g(x) represents the amount of bonus earned by salesperson.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.
According to the given question.
The percent of bonus earned by salesperson weekly on sales over $3,000 is 5%.
Also, we have two functions.
[tex]f(x) = x - 3000[/tex]
and [tex]g(x) = 0.05x[/tex]
For the function, f(x) if x is the amount of money earned salesperson in a week, then f(x) will represents how much money salesperson earned apart form $3000.
And the function g(x) represents the amount of bonus earned by the salesperson.
Hence, the function f(x) represents how much money earned by sales person weekly over $3000. And function g(x) represents the amount of bonus earned by salesperson.
Find out more information about function here:
https://brainly.com/question/12431044
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Place the indicated product in the proper location on the grid. (3xy - 1) (4xy + 2)
Answer:
[tex]2(6x^2y^2+xy-1)\\[/tex]
Step-by-step explanation:
We are to find the product of the given expression. Given the expression
(3xy - 1) (4xy + 2), th product is derives by simply opening up the bracket as shown below;
[tex]= (3xy - 1) (4xy + 2)\\\\= 3xy(4xy)+2(3xy)- 1(4xy)-1(2)\\\\= 12x^2y^2 + 6xy-4xy-2\\\\= 12x^2y^2 + 2xy-2\\\\bringing\ out\ the\ common\ factor;\\\\2(6x^2y^2+xy-1)\\\\[/tex]
The expression 2(6x²y²+xy-1) gives the required product.
OMGGG PLS HELP PLS I WILL GIVE YOU POINTS AND STUFF PLS HELP MEH Figure A is a scale image of Figure B. B: side length x A: side length 10 Figure A maps to Figure B with a scale factor of 0.75. What is the value of x?
try this answer good luck
Answer:
Answer: 1/2
Step-by-step explanation:
Given : Figure B is a scaled copy of Figure A.
We know that the scale factor is the ratio of the corresponding sides of two similar figures.
From , the graph we assume that that one point = one unit of length.
Then, the dimension of one side of figure A = 4 units and the dimension of corresponding side of Figure B = 2.
Then, the scale factor is given by:
k = 2/4 = 1/2
Hence, the scale factor is 1/2
an isosceles triangle has a hypotenuse that measures 12√2. What is the area of that triangle
here is your formula then
State if the two triangles are congruent. If they are, state how you know.
Answer:
yes, by AAS there are two sides of corresponding angles
Step-by-step explanation:
HOPE this helps...
Answer:
Last option..
Yes by AAS
Step-by-step explanation:
the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal
Therefore by this statement we understand that these two are the sides of the corresponding angles!
Hope it helps!
3) In a paddling pool there are 30 floating ducks. Each duck is marked with a number on the underside. 15 are marked with the number 1, 9 are marked with the number 2 and 6 are marked with number 3. There are prizes for those who pick a duck with the number 3 on it. What is the probability of Molly picking a duck with the number 3 on it? Give your answer as a fraction in its lowest terms.
Answer: 1/5
Step-by-step explanation:
Given the following :
Total number of ducks in pool = 30
Mark 1 = 15 ducks
Mark 2 = 9 ducks
Mark 3 = 6 ducks
Probability of picking a duck with Mark 3:
Probability = (number of required outcomes / total possible outcomes)
Number of required outcomes = number of ducks with mark 3 = 6 ducks
P(picking a duck with Mark 3) = 6/30
6/30 = 1/5
= 1/5
DatGuy! Sekkrit! Wishing! Anyone? Find the discriminant of 3x²+5x-2 = 0
Answer:
49
Step-by-step explanation:
[tex]3x^2+5x-2 = 0[/tex]
Apply discriminant formula : [tex]D = b^2- 4ac[/tex]
[tex]D=discriminant\\b=5\\a=3\\c=-2[/tex]
[tex]D = b^2- 4ac[/tex]
Plug in the values for a, b, and c.
[tex]D = 5^2- 4(3)(-2)[/tex]
Evaluate.
[tex]D = 25- 12(-2)[/tex]
[tex]D = 25- - 24[/tex]
[tex]D=25+24[/tex]
[tex]D=49[/tex]
Answer:
49
Step-by-step explanation:
3x²+5x-2 = 0
This is in the form
ax^2 + bx + c=0
a=3 b=5 c = -2
The discriminant is
b^2 -4ac
5^2 -4(3) (-2)
25 + 24
49
The discriminant is 49
i will give brainliest.On every sale of goods worth N10,000.00, there is a commission of N550.00. If
an agent delivers N150,000.00, find his commission. pls helllp
Answer:
8250
Step-by-step explanation:
I think
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?
Answer:
79%
Step-by-step explanation:
To find the median, you need to arrange the numbers in ascending order. Than pick the middle number. If there are two middle numbers then you add them together and then divide by 2.
Answer:
79%
Step-by-step explanation:
Find the largest prime divisor of $15^6 - 7^6$[tex]Find the largest prime divisor of $15^6 - 7^6$[/tex]
Answer:
Largest prime factor of the given expression is 379.
Step-by-step explanation:
Given the expression:
[tex]15^6 - 7^6[/tex]
To find:
The largest prime factor of the given expression.
Solution:
First of all, let us factorize the given expression.
[tex]15^6 - 7^6\\\Rightarrow (15^3)^2 - (7^3)^2\\\\\text{Using } x^{2} -y^2 = (x+y) (x-y)\\\\\Rightarrow (15^3+7^3)(15^3-7^3)[/tex]
Let us learn two formula:
[tex]x^3+y^3 = (x+y)(x^2+y^2-xy)[/tex]
[tex]x^3-y^3 = (x-y)(x^2+y^2+xy)[/tex]
Applying the above formula in the expression written above:
[tex](15^3+7^3) = (15+7)(15^2+7^2-15\times 7)\\\Rightarrow 22(225+49-105 ) = 2 \times 11 \times 169 \\\Rightarrow 2 \times 11\times 13\times 13\\\Rightarrow 2 \times 11\times 13^2[/tex] ...... (1)
Similarly:
[tex](15^3-7^3) = (15-7)(15^2+7^2+15\times 7)\\\Rightarrow 8(225+49+105 ) = 2^3 \times 379[/tex]........ (2)
Multiplying the expressions from (1) and (2) to get the result:
[tex]\therefore 15^6 - 7^6 = 2^4 \times 11 \times \underline{\bold{379}} \times 13 ^2[/tex]
So, largest prime factor of the given expression is 379.
The largest prime divisor of the expression is 379.
How to solve the divisor?The expression will be factorized. This will be:
= (15³)² - (7³)²
= (15 + 7)³(15 - 7)³
This can be illustrated as:
(15 + 7)³ = 2 × 11 × 13²
(15 - 7)³ = 2³ × 379
In conclusion, the largest prime divisor of the expression is 379.
Learn more about divisor on:
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Please answer this question only if you know correct answer please
Answer:
UV=10.5
Step-by-step explanation:
in triangle XUV it is a right angle at U
sin41=opp/hyp
sin 4` =UV/16
UV=16sin41°
UV=10.5
: Resolver el sistema de ecuaciones por el método de reducción. -x + 3y = 6 x + y = 2
Answer:
[tex]x=0\\y=2[/tex]
Step-by-step explanation:
El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.
Nuestras ecuaciones son:
[tex]-x+3y=6\\x+y=2[/tex]
En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.
Al sumarlas tenemos que:
[tex]4y=8\\y=2[/tex]
Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.
[tex]x+y=2\\x+2=2\\x=2-2\\x=0[/tex]
Por lo tanto, x = 0 y y = 2
Can anyone help me with this plz Which pair of triangles can be proved congruent by the SAS Postulate?
Answer: Second choice. Triangle ABX and triangle EDX.
Check out the diagram below. I have color coded the segments that are the same length. The congruent angles are due to the fact we have a pair of vertical angles, which are always the same measure. The green angles are between the red and blue sides for each triangle.
Answer:
Congruent Triangles
Step-by-step explanation:
From the available information, let's concentrate on the fact that lines AX≅EX and lines BX≅DX. This simply means that line AX is equal to line EX and line BX equals DX. since the two lines cross each other to make the vertically opposite angles AXB and DXE equal (AXB≅DXE), then the opposite triangles are congruently sharing two pairs of equal sides and the same.
The congruent triangles are ΔABX and ΔEDX
Plz ans with steps... Thx!!
Answer:
16
Step-by-step explanation:
Let the 1st part of your answer be x , so the 2nd part will be 40-x . From the given information, we can write the equation: (1/4)x = (3/8) × (40-x) . We can simplify this into (1/4)x = (120-3x)/8 ; 8x = 480-12x ; 8x+12x = 480 ; 20x = 480 ; x = 480/20; x = 24
Therefore, the 1st part = 24
Plug this into your 40-x equation to get: 40 - 24 = 16
In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture.
Answer:
18m square
Step-by-step explanation:
Formula for rectangular- based pyramid is L x W x H divided by 3
= 3 x 5 x 3.6 divided by 3 = 18
So you would need 18 m square for the sculpture
What does b= and c= and d=
Answer:
more explanation ?
Step-by-step explanation: