Answer:
n!/k!(n - k)!
Step-by-step explanation:
The number of beads that can be formed from n beads of k different colors are ⁿCₓ = n!/k!(n - k)!
Select all ratios equivalent to 4:2.
Answer:
Step-by-step explanation:
4 : 2
8 : 4
12 : 6
16:8
The ratio in the form of n: 1 will be 2: 1.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The ratio is given below.
⇒ 4: 2
Simplify the ratio in the form of n: 1, then we have
⇒ 4: 2
⇒ 2: 1
The ratio in the form of n: 1 will be 2: 1.
More about the ratio and the proportion link is given below.
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which of the following sets of numbers could represent the three sides of a triangle?\
{10,21,32}
{13,17,32}
{14,24,40}
{13,16,27}
Answer:
14,24,40
Step-by-step explanation:
u cute
Answer:25 = 25 Right Triangle. 3, 7 and 9 Squaring each side = 9, 49 and 81. sum of the squares of the short sides = 9 + 49 = 58. 58 < 81 Obtuse Triangle. For determining if the 3 sides can even form a triangle, the triangle inequality theorem states that the longest side must be shorter than the sum of the other 2 sides.
Step-by-step explanation:
Please Help
Solve for r.
1/3r+1=−2/3r−2
Answer:
-3
Step-by-step explanation:
Answer:
[tex]r=-3[/tex]
Step-by-step explanation:
We have the equation:
[tex]\displaystyle \frac{1}{3}r+1=-\frac{2}{3}r-2[/tex]
And we would like to solve for r.
First, we can multiply both sides by the denominator 3. This will remove the fractions. So:
[tex]\displaystyle 3(\frac{1}{3}r+1)=3(-\frac{2}{3}r-2)[/tex]
Distribute:
[tex]\displaystyle r+3=-2r-6[/tex]
Now, we can add 2r to both sides:
[tex]3r+3=-6[/tex]
And we can also subtract 3 from both sides:
[tex]3r=-9[/tex]
Finally, we can divide both sides by 3 to get:
[tex]r=-3[/tex]
Paul and Kristen have planned a long hike. They will both travel the same route and will not stop. Paul starts two hours before Kristen. He walks three miles per hour and does not slow down or speed up. If Kristen walks four miles per hour, and does not slow down or walk faster, how many miles must she walk to catch up with Paul?
Answer:
Kristen should walk 12 miles to catch up with Paul
Step-by-step explanation:
Paul = 2hrs earlier
= walks at 3 miles per hour
= 3miles x 2 hrs = 6 miles
covers 6 miles at the time Kristen starts
Kristen = 4 miles per hour
Paul has a lead of 6 miles.
if Kristen walks another hour of 4 miles she would have covered 8 miles and Paul would have covered 9 miles and if Kristen were to cover one more hour,
Kristen would be at 12 and so would Paul.
Kristen should walk 12 miles to catch up with Paul
need this by today! Pls help! Im desperate! I will give correct anwser brainliest!
For the function f(x)=-3(x-1) find f(0)
Pls help I will mark branliess
Answer:
D
Step-by-step explanation:
increases by 5 pages per day + 25 initial pages read = 350
Caleb started with 50 bacteria for his science experiment, and the number of bacteria doubled in one day. Jenna also started with 50 bacteria for her experiment, and after one day the number of bacteria was equal to 50 to the second power. Who had more bacteria at the end of one day?
Answer:
100+50²=2600
Step-by-step explanation:
because 50x2=100 and 50² is 2500. Add those and you get 2600.
What is the value of n in this equation?
7^6·7^3=7^n
Answer: n = 9
Step-by-step explanation:
first, we calculate the first equation.
7^9 = 7^n
then, we set the exponents as equal.
9 = n
then, we simply swap the sides.
n = 9
Can y’all please help me with this y=-16 + 29t+ 6
Answer: m=29
Step-by-step explanation:
compare the 2's in the number 212,453 use a complete sentence
Answer: the 2 at 200,000 is 100 times more than the 2 at 002,000
Step-by-step explanation:
Answer:
The 2 at the beginning of the number is in the hundred thousands place while the other 2 is in the thousands place.
Step-by-step explanation:
Starting at the number on the far right, you go up in place value to the left.
212,45(3) - ones
212,4(5)3 - tens
212,(4)53 - hundreds
21(2),453 - thousands
2(1)2,453 - ten thousands
(2)12,453 - hundred thousands
What is the value of the expression
4.8-(2.5-6.3)
4n2-17n+4
What is the answer
Answer:
(4n − 1)(n − 4)
Explanation:
Factor 4n² − 17n + 4
4n² − 17n + 4
= (4n − 1)(n − 4)
Answer:
(4n − 1)(n − 4)
The factors of the expression [tex]4n^2-17n+4[/tex] are
Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.
To factorize the quadratic expression [tex]4n^2 - 17n + 4[/tex], we need to find two binomial factors that, when multiplied, result in the given expression.
The factored form will have the following structure:
(An + B)(Cn + D)
To find the values of A, B, C, and D, we can use various methods such as factoring by grouping, quadratic formula, or completing the square. In this case, we will use the factoring by grouping method.
Step 1: Multiply the coefficient of the leading term (4) by the constant term (4). The result is 16.
Step 2: We need to find two numbers that multiply to give 16 and add up to the coefficient of the linear term (-17). After considering the possible pairs of numbers, we find that -16 and -1 meet these criteria.
Step 3: Rewrite the middle term (-17n) using -16n - n:
= [tex]4n^2 - 16n - n + 4[/tex]
Step 4: Group the terms and factors by grouping:
= [tex](4n^2 - 16n) - (n - 4)[/tex]
= 4n(n - 4) - 1(n - 4)
Step 5: Factor out the common binomial factor:
(n - 4)(4n - 1)
Therefore, the factored form of the quadratic expression [tex]4n^2 - 17n + 4[/tex] is (n - 4)(4n - 1).
Learn more about expression here:
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+ + = . . Please im on a time limit
Answer:
what do you mean lol im slow haha
Answer:
In order to solve we need to know what the equation is.
Step-by-step explanation:
A particular fruit's weights are normally distributed, with a mean of 331 grams and a standard deviation of 23 grams. If you pick 15 fruits at random, then 14% of the time, their mean weight will be greater than how many grams?
Answer:
337.41366
Step-by-step explanation:
Given that:
Mean = 331 grams
Standard deviation = 23 grams
Sample size (n) = 15
P(Z < x) = 14% = 0.14
Obtain the Zscore corresponding to (1 - 0.14) = 0.86
P(z < 0.86) = 1.08
Zscore = 1.08
Zscore = (x - mean) / s/√n
1.08 = (x - 331) / 23/sqrt(15)
1.08 = (x - 331) / 5.9385744
X - 331 = 6.4136604
X = 6.4136604 + 331
X = 337.41366
it is the rate of change in angle measure of a unit of time
Answer:
j
Step-by-step explanation:
j
A runner runs 15 miles in 3 hours. Find the constant of proportionality (k), that relates the miles, y, to the time, x. Also, write the equation (y = kx) for this relationship.
Answer:
y=10x; y is the miles driven, x is the hours driven
Step-by-step explanation:
The independent variable is x, and the dependent variable is y.
1.Refer to the system of linear equations shown below. Which of the following statements gives the best choice for multiplying to solve this system using the elimination method?
3x−6y=4
6x+11y=−2
(1 point)
Multiply the second equation by 12, so the x-variables are eliminated.
Multiply the first equation by 2, so the x-variables are eliminated.
Multiply the first equation by −11 and the second equation by 6, so the y-variables are eliminated.
Multiply the first equation by −2, so the x-variables are eliminated.
2.Given the following system, what should the second equation be multiplied by so that x is eliminated?
4x−y=9
x+3y=12
(1 point)
13
−4
−13
4
3.Solve the following system by the elimination method.
4x−2y=16
3x+6y=−18
(1 point)
(1, −5)
(3, −2)
(2, −4)
(0, −3)
4.Solve the system by the elimination method.
3x−5y=4
−9x+3y=−24
(1 point)
(8, 4)
(1, −1)
(3, 1)
(2, −2)
5.Manny says he should multiply the first equation in the system of equations below by 3 and the second equation by 2, then add to eliminate x. Is there a more efficient way to solve this system? Explain your answer.
−2x+y=15
3x+4y=−12
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
Answer:
456
Step-by-step explanation:
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
22 Simplify the expression below. 9 (-2-8) + (-16)
Is the equation 2x + 5 = 1 true, false, or open? Explain.
Answer:
open
Step-by-step explanation:
beacause
2x+5=1
2x=1-5
2x=-4
x=-4/2
x-2 so its open
An open statement is a statement that has an unknown variable
[tex]2x + 5 = 1[/tex] is an open statement
The equation is given as:
[tex]2x + 5 = 1[/tex]
From the equation, we have the following observations.
2, 5 and 1 are constants
x is a variable
Because the equation has a variable (i.e. x), then it is an open statement
Hence, [tex]2x + 5 = 1[/tex] is an open statement
Read more about open statements at:
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Um how do you solve for x?
Answer:
If you have an equation like "x - 5 = 20" rewrite the equation as x = 20 + 5 and solve for x, which 20 + 5 is 25.
PLEASE HELP!!!!
Your friend wants to know if there is a proportional relationship between
the number of slices of ham in a sandwich and the number of calories.
Decide if the relationship between the number of slices of ham in a
sandwich and the number of calories is proportional.
Answer:
Step-by-step explanation: the answer is does not
Answer: The table does not show a proportional relationship
Step-by-step explanation: i got it right on my envision just here to help
Which ratio is equivalent to 9: 180?
A5:200
B12:240
C10:400
D 8:560
Answer:
B: 12:240
Step-by-step explanation:
you can divide the ratios to see if they are equivalent.
9/180= 0.05 or 1/20
12/240= 0.05 or 1/20
Answer:
a
Step-by-step explanation:
Kevin wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 28 feet and its width is 25 feet. Suppose each pack of seed
covers 14 square feet. How many packs of seed will he need to cover the backyard?
Answer:
50 packs.
Step-by-step explanation:
Given the following data;
Length = 28 feet
Width = 25 feet
Pack of seeds = 14 ft²
Since Kevin's backyard is a rectangle, we would find its area.
Area of rectangle = length * width
Substituting into the equation, we have;
Area of rectangle = 28 * 25
Area of rectangle = 700 ft²
Now to find the amount of pack of seeds required to cover the backyard.
Amount of pack of seeds = 700/14
Amount of pack of seeds = 50 packs.
A veteran records whether her clients own a cat, a dog need neither or both. The results are shown in two ways.
Tricia has $37.25 in her account. Which shows the amount she will have left after she writes a check for $23.99?
A. $12.36
B. $12.74
C. $13.26
D. $13.74
The amount she will have left after writing a check for $23.99 is $13.26. The correct answer would be an option (C).
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Tricia has $37.25 in her account, if she writes a check for $23.99, to find the amount left after that we need to subtract the check amount from her initial amount.
⇒ initial amount - check amount
⇒ $37.25 - $23.99
Apply the subtraction operations, and we get
⇒ $13.26
Therefore, the amount she will have left after writing a check for $23.99 is $13.26.
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how to find rations in triangles
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Which is the graph of the linear inequalityx2y>-6?
Answer:
We will graph the inequality in simplified form i.e [tex]y>-3[/tex]
The graph is shown in figure below
Step-by-step explanation:
Which is the graph of the linear inequality [tex]2y>-6[/tex]
(Note: Considering the inequality is 2y>-6 and x is typing mistake.)
First we will solve the inequality to find value of y
We have inequality:
[tex]2y>-6[/tex]
For finding y we have to divide both sides of inequality by 2
[tex]\frac{2y}{2}>\frac{-6}{2} \\y>-3[/tex]
Now, we will graph the inequality in simplified form i.e [tex]y>-3[/tex]
Inequality can be graphed on number line as well as graph paper.
Graph on number line
Since y is greater than -3, so all values greater than -3 will be included on the number line. An open circle will be drawn on -3, indicating -3 is not included but values greater than -3 are included. The figure A shows the graph
Graph on Graph paper
Since y is greater than -3, so all values greater than -3 will be included on the number line. A dotted line will appear on -3 and the region on right side of -3 (values greater than 3) will be shaded. The figure B shows the graph
urgent please help!! no trolls
Answer:
2.4
Step-by-step explanation:
Answer:
66?
Step-by-step explanation:
112-46= 66
Sorry if it's wrong! ヾ(•ω•`)o
Have a nice day!( ﾟдﾟ)つ Bye
Please hurry I need this fast
Answer: It is 4,7 to show this draw a graph and then flip it to see its reflection