There are 4 letters in a bag: S, O, P, and T. In how many ways can these letters be drawn out?
A.4
B.12
C.24
D.120
Answers
Answer:
B
Step-by-step explanation:
Because all of these letters are distinct, the total number of ways to draw them is 4!, or 24.
Another way you can do this is by discerning the number of ways the individual numbers can be drawn. In the beginning, there are 4 letters to pick. If you pick a letter out, you now have 3 letters to pick. If you pick a letter out, you now have 2 letters to pick. After, you only have 1 letter to pick. 4 * 3 * 2 * 1 = 24.
Answer:
C
Step-by-step explanation:
I think it's C, 4 * 3 * 2 * 1 = 24
Related Questions
Please help me I’ll mark brainly
Answers
Answer: -3
Step-by-step explanation:
The Jackson family has purchased dinner from a food truck in Austin TX.
They purchased one taco for $2.75 and four cheeseburgers.
If the Jacksons spent a total of $23. 75, how much was each cheeseburger?
Answers
Answer:
Each cheeseburger cost $5.25
Step-by-step explanation:
First, we must subtract the price of the taco, $2.75, from the total amount spent at dinner. This leaves us with 21 dollars.
Now, we must divide 21 by 4, this will show us the price of each cheese burger.
21 ÷ 4 = 5.25
So, each cheeseburger cost $5.25.
A triangle LMN with ln = 12 cm,Nm= x cm, Nk = 6cm and Km 8cm
Calculate the value of
(i) x
(ii) o
Answers
The value of x is 9 cm, and angle O is 0 degrees.
To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:
(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:
c^2 = a^2 + b^2 - 2ab * cos(C)
In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:
LN = 12 cm
NK = 6 cm
KM = 8 cm
Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.
Using the Law of Cosines, we can write the equation for side NM (x):
x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)
We don't know the value of angle N yet, so we need to find it using the Law of Sines.
(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:
sin(A) / a = sin(B) / b = sin(C) / c
In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.
We can write the equation for angle O:
sin(O) / 8 = sin(N) / 6
Now, let's solve these equations step by step to find the values of x and angle O.
To find angle N, we can use the Law of Sines:
sin(N) / 12 = sin(180 - N - O) / x
Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:
sin(N) / 12 = sin(O) / x
Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):
sin(N) / 12 = (6 / 8) * sin(N) / x
Now, we can solve this equation for x:
x = (12 * 6) / 8 = 9 cm
So, the value of x is 9 cm.
To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:
sin(O) / 8 = sin(N) / 6
sin(O) / 8 = sin(O) / 9
9 * sin(O) = 8 * sin(O)
sin(O) = 0
This implies that angle O is 0 degrees.
Therefore, the value of x is 9 cm, and angle O is 0 degrees.
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The figure for the given question is provided here :
quation, In factored form, of the quadratic function shown in the graph? (-3,0), (3,0)
Answers
Given: The graph of a quadratic equation as shown
To Determine: The equation of the graph
Solution
Let us determine the zeros
The zeros of the equation is given as the points where the curve cuts the x-axis
\(\begin{gathered} x=-3 \\ x+3=0 \\ x=2 \\ x-2=0 \\ f(x)=a(x-2)(x+3) \end{gathered}\)The y-intercept is
\(\begin{gathered} y-intercept \\ (0,-6) \end{gathered}\)Substitute the coordinate of the y-axis to get the value of a
So,
\(\begin{gathered} -6=a(0-2)(0+3) \\ -6=a(-2)(3) \\ -6=-6a \\ a=\frac{-6}{-6} \\ a=1 \end{gathered}\)Hence the equation of the graph is
f(x) = 1(x + 3)(x -2)
Determine the intervals on which the given function is concave up or down and find the point of inflection. Let f(x) = x(x−4√x)
The x-coordinate of the point of inflection is: ____
The interval on the left of the inflection point is: ____ , and on this interval f is: __ concave up? or down? __
The interval on the right is: ____ , and on this interval f is: __ concave up? or down? __
Answers
The x-coordinate of the point of inflection is 9/4.
The interval on the left of the inflection point is 9/4 and on the function is concave down at (-∞, 9/4).
The interval on the right of the inflection point is 9/4 and on the function is concave up at (9/4, ∞).
In the given question we have to determine the intervals on which the given function is concave up or down and find the point of inflection.
The given function is:
f(x) = x(x−4√x)
Firstly finding the first and second derivatives.
f(x) = x^2−4x^{3/2}
f'(x) = 2x−4*3/2*x^{1/2}
f'(x) = 2x−6x^{1/2}
f''(x) = 2−6*(1/2)*x^{−1/2}
f''(x) = 2−3x^{−1/2}
Now finding the inflection point by equating the second derivative equal to zero.
f''(x) = 0
2−3x^{−1/2} = 0
After solving
x = 9/4
For left half of the number line of 9/4, f''(x)<0. So, the function is concave down in (-∞, 9/4).
For left right of the number line of 9/4, f''(x)>0. So, the function is concave up in (9/4, ∞).
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Type the correct answer in the box.
Fill in the missing term in the equation.
(1 + 2)(2+1) + blank
= 5(2+i)
Answers
(1 + 2)(2 + 1) + blank
= 3(3) + blank
= 9 + blank
Expanding the right side of the equation:
5(2 + i)
= 10 + 5i
Since the left side of the equation (9 + blank) is equal to the right side (10 + 5i), we can deduce that the missing term should be equal to 1i.
Therefore, the missing term in the equation is "1i".
A chi-square test for homogeneity is conducted on three populations and one categorical variable that has three values. Computation of the chi-square statistic yields χ2 = 2.05. What is the p-value? (please provide a written explanation)
p > 0.25
0.05 < p < 0.1
0.02 < p < 0.025
0.01 < p < 0.02
0.005 < p < 0.01
Answers
the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.the answer is 0.05 < p < 0.1.
To find the p-value for a chi-square test for homogeneity, we need to use the chi-square distribution table with the appropriate degrees of freedom and compare the computed chi-square statistic to the critical value at the desired level of significance.
The degrees of freedom for a chi-square test for homogeneity is given by the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table. In this case, we have three populations and one categorical variable with three values, so the contingency table has 3 rows and 3 columns. Therefore, the degrees of freedom is df = (3 - 1) * (3 - 1) = 4.
Using the chi-square distribution table with 4 degrees of freedom and looking up the value of chi-square at 2.05, we can see that the corresponding p-value is between 0.1 and 0.05. Specifically, the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.
Therefore, the answer is 0.05 < p < 0.1.
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help me please please please
Answers
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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Simplify the following:
Show all steps.
\(\sqrt{108} x^{2} y^{3} -\sqrt{12} x^{2} y^{3} +x\sqrt{75} y^{3}\)
Answers
Answer:
\(\sqrt{3} xy^{3}\)×(4x+5)
Step-by-step explanation:
6\(\sqrt{3} x^{2} y^{3} - 2\sqrt{3} x^{2} y^{3} + x \sqrt{75} y^{3}\) simplify
4\(\sqrt{3} x^{2} y^{3} +x\sqrt{75} y^{3}\) collect like terms
\(\sqrt{3} xy^{3}\)×(4x+\(\sqrt{25}\)) factored out \(\sqrt{3} x y^{3}\)
\(\sqrt{3} xy^{3}\)×(4x+5) simplify
expression represents the product of b and 34?
Answers
Answer:
b*34
Step-by-step explanation:
an expression does not include an equal sign but an equation does
rewrite the following expression 9(6+7n)
Answers
Answer:
63n + 54
Step-by-step explanation:
9(6+7n)
First you have to multiply 6 and 9 which gives you 54. Then you’ll have to multiply 7n and 9 which equals to 63n. Whenever you see expressions like that, make sure to multiply both numbers inside the parentheses by what’s outside the parentheses. (Well, that method is mainly done like that if there’s one number outside the parentheses—like the expression you’ve provided.)
What is the sum of the integers less than 100 that have both 6 and 9 as divisors?
Answers
Answer:
The sum of the integers less than 100 that have both 6 and 9 as divisors is 270
Step-by-step explanation:
To determine the integers less than 100 that have both 6 and 9 as divisors,
First, we will list the multiples of 6 and 9 that are less than 100, and the common multiples will give the integers less than 100 that have both 6 and 9 as divisors.
Multiples of 6 less than 100 are:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.
Multiples of 9 less than 100 are:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, and 99.
Hence, the integers less than 100 that have both 6 and 9 as divisors are 18, 36, 54, 72 and 90.
Then, the sum of the integers less than 100 that have both 6 and 9 as divisors is
18 + 36 + 54 + 72 + 90 = 270
Hence, the sum of the integers less than 100 that have both 6 and 9 as divisors is 270.
Two chemical plants, one at Macon and one at Jonestown, produce two types of fertilizer, low phosphorus (LP) and high phosphorus (HP). At each plant, the fertilizer is produced in a single production run, so the two types are produced in fixed proportions. The Macon plant produces 1 ton of LP and 3 tons of HP in a single operation, and it charges $600 for what is produced in one operation, whereas one operation of the Jonestown plant produces 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation. If a customer needs at least 100 tons of LP and 180 tons of HP, how many production runs from each plant should be ordered to minimize the cost.
Answers
Answer:500
Step-by-step explanation:
There are 100 production runs from each plant should be ordered to minimize the cost.
What is Production?
The process of making or manufacturing goods and products from raw materials or components is called Production.
The Macon plant produce 1 ton of LP and 3 tons of HP in single operation, and it charge $600 for what is produced in one operation.
And, One operation of Jonestown plant produce 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation.
And, A customer needs at least 100 tons of LP and 180 tons of HP,
Now, A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon and Jonestown) as,
= (0, 180), (40, 60), (100, 0).
Hence, By checking costs of these solutions, we find the lowest cost to be obtained when 100 production runs should be ordered from Macon.
So, There are 100 production runs from each plant should be ordered to minimize the cost.
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Solve pleaseee !!!..
Answers
Answer:
x=76
Step-by-step explanation:
#CarryOnLearning
Answer:x=76
Step-by-step explanation:
Distribute: -4(x-26)=-200 -4x + 104 - 104 = -200
Subtract 104 from both sides of the equation
-4x + 104-104 = -200-104
Simplify
Subtract the numbers
-4x +104-104=-200 - 104
-4x=-200 - 104
Subtract the numbers
-4x = -200 - 104
-4x = -304
-4x = -304
Solution
x=76
Select the correct answer from each drop-down menu.
Consider the expressions given below.
A.
B.
C.
D.
2x³
x² - 6x
2x³ + 8x + 4
3x³ + x² + x -7
32 3x² + 5x - 7
-
For each expression below, select the letter that corresponds to the equivalent expression from the given list.
4 + 7x) (2x - x - 8) is equivalent to expression
(-3x² + x + x) + (2x - 7+ 4x) is equivalent to expression
(²2x) (2x + 3) is equivalent to expression
Answers
(4x³- 4 + 7x) - (2x³ - x - 8) is equivalent to expression 2x³ + 8x + 4. Option B
(-3x² + x⁴ + x) + (2x⁴ - 7+ 4x) is equivalent to expression 3x⁴ - 3x² + 5x - 7. Option D
(x² - 2x) (2x + 3) is equivalent to expression 2x³ - x² - 6x. Option A
How to determine the expressionFrom the information given, we have that the expressions are;
(4x³- 4 + 7x) - (2x³ - x - 8)
expand the bracket, we have;
4x³ - 4 + 7x - 2x³ + x + 8
collect the like terms, we have;
2x³ + 8x + 4
(-3x² + x⁴ + x) + (2x⁴ - 7+ 4x)
expand the bracket, we have;
-3x² + x⁴ + x + 2x⁴ - 7+ 4x
collect the like terms
3x⁴ - 3x² + 5x - 7
(x² - 2x) (2x + 3)
expand
2x³ + 3x² - 4x² - 6x
2x³ - x² - 6x
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Annie buys some greeting cards. Each card costs $1.75. She pays with a twenty dollar bill. Let n represent the
number of greeting cards Annie buys. Write an expression that represents the amount of change Annie should
receive
Answers
Answer:
20÷1.75= 11
so Annie gets 11 cards 1.75×11=19.25
20-19.25=0.75
so Annie will get 75¢
The graph above is a transformation of the function f(x) = x^2
Write an equation for the function graphed above .
Answers
Answer: There is no graph
Step-by-step explanation: you cannot solve the problem without the graph
Witch is a correct name of the angle shown?
Answers
Answer:
CBA
Step-by-step explanation:
B is the middle n angles should be btn two lines ie AB and BC. so they had a common point B hence the joining occured at B
Compare these rational numbers.
− 7/8 ? − 5/6
Type the correct sign (<, >, or =).
Answers
Answer: To compare −7/8 and −5/6, we can convert them to a common denominator.
Multiplying the denominator and numerator of −7/8 by 6, we get:
−7/8 = −(7/8) × (6/6) = −42/48
Multiplying the denominator and numerator of −5/6 by 8, we get:
−5/6 = −(5/6) × (8/8) = −40/48
Now we can compare the two rational numbers:
−42/48 is less than −40/48, since negative numbers get larger as their value gets closer to zero.
Therefore, we have:
−7/8 < −5/6.
The correct sign to compare the two rational numbers is "<".
Step-by-step explanation:
I will mark Brainlyist write a equation for the line shown below
Answers
Answer:
5 1/2 and -5 1/2
Step-by-step explanation:
thats just what the arrows point to
The half-life of a radioactive substance is 27.7 years.
a. Find the exponential decay model for this substance.
b. How long will it take a sample of 400 grams to decay to 300 grams?
c. How much of the sample of 400 grams will remain after 20 years?
Answers
Answer:
N(t) = N₀·0.5^(t/27.7)
11.5 years
242.5 grams
Step-by-step explanation:
9 divided by 6.813
full answer pls
Answers
Answer:
1.321003963011889035667107001321
Step-by-step explanation:
Answer:
1.32100396
Step-by-step explanation:
9 ÷ 6.813
hope this helps :)
*PRE-CALC URGENT + 100 POINTS*
A jumping spider's movement is modeled by a parabola. The spider makes a single
jump from the origin and reaches a maximum height of 20 mm halfway across a horizontal distance of 160 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)
Answers
Answer:
A. (x - 80)² = -320(y = 20)
B. Focus: (80, -60)
Directrix: y = 100
Axis of symmetry: x = 80
Step-by-step explanation:
Part AIf the spider's movement is modeled by a parabola, and its maximum height is 20 mm halfway across a horizontal distance of 160 mm, then:
x-intercepts = (0, 0) and (160, 0)Vertex = (80, 20)Standard form of a parabola with a vertical axis of symmetry:
\(\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}\)
If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.
\(\textsf{Vertex}=(h, k)\)\(\textsf{Focus}=(h,k+p)\)\(\textsf{Directrix}:y=(k-p)\)\(\textsf{Axis of symmetry}:x=h\)Substitute one of the x-intercepts and the vertex into the formula and solve for p:
\(\implies (0-80)^2=4p(0-20)\)
\(\implies (-80)^2=4p(-20)\)
\(\implies 6400=-80p\)
\(\implies p=-80\)
Substitute the found value of p and the vertex into the formula to create the equation of the parabola in standard form:
\(\implies (x-80)^2=4(-80)(y-20)\)
\(\implies (x-80)^2=-320(y-20)\)
Part BGiven:
h = 80k = 20p = -80\(\begin{aligned}\textsf{Focus}&=(h,k+p)\\&=(80,20-80)\\&=(80,-60)\end{aligned}\)
\(\begin{aligned}\textsf{Directrix}:y&=(k-p)\\ \implies y&=(20-(-80))\\ \implies y&=100\end{aligned}\)
\(\begin{aligned}\textsf{Axis of symmetry}:x&=h\\ \implies x&=80\end{aligned}\)
what is the standard form of (x + 1 + i)(x + 1 − i)
Answers
Answer:
hope it helps
Step-by-step explanation:
please mark me as brainliest thank you
|x +3|<1
Need it quick
Answers
We can solve the inequality |x + 3| < 1 by considering two cases:
Case 1: x + 3 ≥ 0
If x + 3 ≥ 0, then the inequality simplifies to:
x + 3 < 1
Subtracting 3 from both sides gives:
x < -2
So the solution set for this case is -3 < x < -2.
Case 2: x + 3 < 0
If x + 3 < 0, then we have:
-(x + 3) < 1
Multiplying both sides by -1 (which reverses the direction of the inequality) gives:
x + 3 > -1
Subtracting 3 from both sides gives:
x > -4
So the solution set for this case is -4 < x < -3.
Combining the solution sets from both cases, we get:
-4 < x < -2
Therefore, the solution to the inequality |x + 3| < 1 is the open interval (-4, -2).
Help help help I need help ASAP
Answers
Answer: 54.4
Step-by-step explanation:
The base of a square prism has an area of 16 in.2 The
height of the prism is 6 in. What is the surface area
of the square prism?
Answers
Answer:
idek
Step-by-step explanation:
Explain how you know that segment de is not parallel to segment bc
Answers
Line segments DE and BC are not parallel because they divide the opposite side of the triangle at different ratios.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, Line segment AD is 4 units and line segment DB is 2 units.
∴ Line segment AD is (4/2) = 2 times greater.
On the other hand line segment, AE is 9 units and line segment EC is 5 units.
∴ Line segment AE is (9/5) = 1.8 times greater.
Line segments BC and DE should have been parallel if they had the same ratios.
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Taryn bought 12.6 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Taryn bought?
Answers
3.8x12.6= 47.88 liters
started her dance class at 6:45 PM. She spent 85 minutes in dance class. At what time did Michelle finish her dance class?
Answers
Answer:
8:05 or 8:10
Step-by-step explanation:
6:35 plus 60 minutes 6:95 then change it to 7:60 to 8:05 pm or 8:10 pm
the answer is 8:05 to 8:10
Answer:
8:10
Step-by-step explanation: