Answer:
1440 different arrangements are possible.
Step-by-step explanation:
Number of arrangements of n elements:
The number of arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
In this question:
6 couples, in which each can be positioned in 2 ways(him/her or her/him). So
[tex]T = 2A_{6} = 2*6! = 1440[/tex]
1440 different arrangements are possible.
The slope of the line that passes through the point (2,4) and (3,8) is
Hi! Your answer is m = 4 or slope is 4.
Make sure to read an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:
[tex]\large\boxed{m=\frac{y_2-y_1}{x_2-x_1}}[/tex]
The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".
From (2,4) and (3,8). We substitute the given coordinate points in the formula.
[tex]\huge{m=\frac{8-4}{3-2}}\\\huge{m=\frac{4}{1}}\\\huge{m=4}[/tex]
Hence, the slope is 4.
Additional Note
m-term comes from y = mx+b where m is defined as slope in slope-intercept form. Therefore, m = slope.Hope this helps!
15 is ___% of 60 HELP YALL
Answer:
25
Step-by-step explanation:
Answer:25%
Step-by-step explanation:
A new microwave costs $126.99 at Walmart. How much sales tax would
you pay if the tax rate is 7%?*
$135.88
$8.89
$135.87
$8.88
Answer:
135.87
Step-by-step explanation:
7% of 126.99 is 8.8893
add 126.99 to 8.8893
you get ~135.87
Answer:
8.89
Step-by-step explanation:
Take the cost of the item times the tax rate to find the amount of tax
126.99 * 7%
Change to decimal form
126.99 * .07
8.8893
Round to the nearest cent
8.89
Carl had been saving his money for weeks to buy the shoes that he had seen in the store window. The price tag said $90.00. Carl had saved $75.00.
would Carl have enough money if the shoes went on sale for 20% off?
yes or no?!
Answer:
Yes
Step-by-step explanation:
20% of 90= 72
then you want to subtract the amount of money you have minus how much it is 75 - 72 = 3
since the answer is a positive number that means yes.
Pleaseeeeee i will mark you brilll
Answer:
58
Step-by-step explanation:
4 × 5 to the power of 2 + 3 × 5 + 3
Answer:
Option B
118
Step-by-step explanation:
[tex]4{x}^{2} + 3x + 3[/tex]
By putting the value of x = 5
[tex] = 4 {(5)}^{2} + 3 \times 5 + 3[/tex]
= 4 × 25 + 15 + 3
= 100 + 18
= 118 (Ans)
The circle graph shows the result of a survey. In what way is this graph misleading? Explain.
Step-by-step explanation:
because the total sum of each percent is 90%
and it must be 100% as it is a full circle
Imagine pls helpppppppp!!!!!!
Answer:
169,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is exponential growth of form
y=ar^x where y is final amount, a=initial amount, r=common ratio or rate and x=time
y=130000(1.03^10)
y=174709
32% in fraction can be written as
Hellpppppppp
Answer:
[tex]\frac{8}{25}[/tex]
Step-by-step explanation:
Convert 32% to the fraction [tex]\frac{32}{100}[/tex]Since any percentage is out of 100, we make 100 the denominator.
[tex]\frac{32}{100}[/tex] can be simplified because both 32 and 100 can be divided by 4 evenly.32/4 = 8 100/4 = 25This makes the fraction [tex]\frac{8}{25}[/tex]What is the value of (f-g)(7)?
f(x)=2+x;g(x)=x^2+5
(f-g)(7)=[1]
Answer:
Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.
Your first step will be to set up the problem:
f(x) - g(x)
Next you will substitute in your values:
(2x + 1) - (x2 - 7)
The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:
2x + 1 - x2 + 7
Then combine your like terms:
2x - x2 + 8
Lastly put your expression in standard form (highest exponent to lowest)
-x2 + 2x + 8
Hope this helped!
Step-by-step explanation:
Solve for 2.
Your answer must be simplified.
x + 5<-4
How many pairs can you make when picking a month of the year and flipping a coin?
12
14
18
24
Answer:
24 I guess
Step-by-step explanation:
There are 2 sides in a coin so 12 x 2 = 24
Suppose that a survey was taken of 320 people and each person was asked if they approved or disapproved of the president's actions during the government shutdown. One hundred eighty people said that they approved. Which of the following statements correctly describes how the confidence interval for the population proportion of people that approved the President's actions during the government shutdown?
A) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.
B) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 4 successes and 5 failures.
C) There are not 15 successes and 15 failures. A confidence interval can not be done.
D) There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed (phat +/- z * sqrt(p*(1-p)/n) with no additional values added.
Answer: I believe it’s C
Step-by-step explanation: I hope i’m right
In the coordinate plane, what is the distance between (-2, 5) and (8, 5) ?
Sam purchased 2 pairs of sneakers for $225 in
total. His father receives a military discount of
23%. How much were the price of the sneakers
after the discount?
Once the discount was deducted they added 7%
in sales tax. What was the final cost for the
sneakers?
help pleaseeee giving 100 points
Answer:
173.25
173.25+7=
$180.25
Step-by-step explanation:
Answer:
$185.38 i beileve. I took the discount out then added the tax
find the GCF 40,50,60
Answer:
10
Step-by-step explanation:
Find the missing side length of the triangle 10m 7.5m
Answer:
c = 12.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Identify
Leg a = 7.5
Leg b = 10
Hypotenuse c = c
Step 2: Solve for c
Substitute in variables [Pythagorean Theorem]: 7.5² + 10² = c²Rewrite: c² = 7.5² + 10²Evaluate exponents: c² = 56.25 + 100Add: c² = 156.25[Equality Property] Square root both sides: c = 12.51 + 1 + 23 + 77 +109 + 4568+ 32?
Answer:
4811?
Step-by-step explanation:
sorry if incorrect
How do i solve for x if (x+1)/(x+1)= 1/2?
Answer:
x= -1
Step-by-step explanation:
Given data
We have the expression as
(x+1)/(x+1)= 1/2
let us first cross multiply
2(x+1)=(x+1)
2x+2=x+1
collect like terms
2x-x=1-2
x= -1
Hence the value of x=-1
Can anyone help to answer my previous questions?
Step-by-step explanation:
Umm I can try. c:
I'll see....
Manuel has brought 24 pounds of dog food. He feeds his dog 3/4 pounds for each meal. For how many meals will the food last ?
Answer:
32
Step-by-step explanation:
24/(3/4)
Answer:
32 meals
Step-by-step explanation:
24 / (3/4)
Multiply by reciprocal:
24 x (4/3) = 32
In a survey of 3417 adults aged 57 through 85 years, it was found that 80.3% of them used at least one prescription medication. C
a. How many of the 3417 subjects used at least one prescription medication?
Answer:
2743.851 adults aged 57 through 85 years used at least one prescription medication.
Step-by-step explanation:
I did this on a calculator so yeah...
At Lincoln Elementary School, 4/5 of the students buy lunch at school. Of those students, 1/3 buy milk with their lunch. What equation can be used to find what fraction of the students buy milk?
A. 1/3 ÷ 4/5
B. 1/3 - 4/5
C. 1/3 + 4/5
D. 1/3 x 4/5
Multiply the two fractions together.
The answer would be D. 1/3 x 4/5
plz help find the volume of the cylinder plz
Answer:
V = 12π in³
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: [tex]\displaystyle V = \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Radius r = 2 in
Height h = 3 in
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = π(2 in)²(3 in)[Volume] Evaluate exponents: V = π(4 in²)(3 in)[Volume] Multiply: V = π(12 in³)[Volume] Multiply: V = 12π in³can someone help me with this simple 8th grade worksheet
Which of the following systems has an infinite number of solutions?
A. x+y=1 and x−y=1
B. x+y=1 and x+y=−1
C. x+y=1 and −x−y=−1
D. x+y=1 and x+y=2
Answer:
C. x+y = 1 and -x-y = -1
Step-by-step explanation:
Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.
1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)
2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=t, y=e^-t, z=2t-t^2; (0, 1, 0)
Answer:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
Step-by-step explanation:
Given
[tex]x=t[/tex]
[tex]y=e^{-t}[/tex]
[tex]z=2t-t^2[/tex]
(0, 1, 0)
The vector equation is given as:
[tex]r(t) = (x,y,z)[/tex]
Substitute values for x, y and z
[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]
Differentiate:
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
The parametric value that corresponds to (0, 1, 0) is:
[tex]t = 0[/tex]
Substitute 0 for t in r'(t)
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2)[/tex]
The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)
It should be noted that:
The equation of a line through position vector a and parallel to vector v is given as:
[tex]r(t) = a + tv[/tex]
Such that:
[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]
The equation becomes:
[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]
[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]
[tex]r(t) = (0+t,1-t,0+2t)[/tex]
[tex]r(t) = (t,1-t,2t)[/tex]
By comparison:
[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]
The parametric equations for the tangent line are:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
A. 78
B. 87.5
C. 100
please answer will give brainliest!!!!!!!
Answer: 100
Mode is simply the number which appears most often.
100 is the only number that appears more than once
I need help with this
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
The "form factor" in the attached is the difference between the sum of the squares of the short sides and the square of the long side. If that difference is 0, the Pythagorean theorem is satisfied, and the triangle is a right triangle. When the difference is positive, the triangle is acute; negative, the triangle is obtuse.
As you can see, all but the third triangle are right triangles.
__
Example calculation:
A: 5^2 +12^2 -13^ = 25 +144 -169 = 0
__
I like to let a spreadsheet do the work when there are repetitive calculations. The formula and data only need to be entered once.
Line A has a slope of -4/3. Line B is perpendicular to Line A. What is the slope of Line B?
Answer:
The answer is 3/4
Step-by-step explanation:
If two lines in perpendicular, then the slope has a relation as slope1 * slope2 = -1. Then if line 1 has slope -4/3 then -4/3 * x = -1, then x = 3/4 which is the slope for the second line.
Over the last 3 evenings, Huda received a total of 94 phone calls at the call center. The third evening, she received 3 times as many calls as the second evening.
The second evening, she received 9 fewer calls than the first evening. How many phone calls did she receive each evening?
Please answer??
Answer: See explanation
Step-by-step explanation:
Let the number of calls received the first evening be x.
The second evening, she received 9 fewer calls than the first evening. This will be: = x - 9
The third evening, she received 3 times as many calls as the second evening. This will be: = 3(x - 9) = 3x - 27
Then, the expression for each evening can then b put together and solved further as:
x + (x - 9) + (3x - 27) = 94
x + x - 9 + 3x - 27 = 94
5x = 94 + 9 + 27.
5x = 130
x = 130/5
x = 26
First evening = 26 calls
Second evening = x - 9 = 26 - 9 = 17 calls
Third evening = 3x - 27 = 3(26) - 27 = 78 - 27 = 51 calls