Answer:
[tex]18[/tex].
Step-by-step explanation:
Start by considering the two "[tex]\verb!P![/tex]"'s as being different from one another. That way, all five letters in this word would be distinct. With this assumption, the number of arrangements would be [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] times that of the actual value.
Start by fixing the first and the last letter since they come with special requirements.
There are [tex]2[/tex] choices for the first letter (the vowel: [tex]\verb!A![/tex] and [tex]\verb!E![/tex].)
Under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex]3[/tex] choices for the last letter ([tex]\verb!L![/tex] and the two
After choosing the first and the last letters, there would be [tex](5 - 1 - 1) = 3[/tex] choices for the second letter, [tex](3 - 1) = 2[/tex] choices for the third, and [tex](2 - 1) = 1[/tex] for the fourth.
Thus, under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex](2 \times 3) \times (3 \times 2 \times 1) = 36[/tex] ways to choose the new word. Since this assumption doubles the number of arrangements, dividing the [tex]36[/tex] by [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] would give the actual number of arrangements:
[tex]\begin{aligned}\frac{36}{\genfrac{(}{)}{0}{}{2}{1}} = \frac{36}{2} = 18\end{aligned}[/tex].
[tex]\begin{aligned}& 1 && \verb!APPEL!\\& 2 && \verb!APLEP!\\& 3 && \verb!APEPL!\\& 4 && \verb!APELP!\\& 5 && \verb!ALPEP!\\& 6 && \verb!ALEPP!\\& 7 && \verb!AEPPL!\\& 8 && \verb!AEPLP!\\& 9 && \verb!AELPP!\\& 10 && \verb!EAPPL!\\& 11 && \verb!EAPLP!\\& 12 && \verb!EALPP!\\& 13 && \verb!EPAPL!\\& 14 && \verb!EPALP!\\& 15 && \verb!EPPAL!\\& 16 && \verb!EPLAP!\\& 17 && \verb!ELAPP!\\& 18 && \verb!ELPAP!\end{aligned}[/tex].
Please answer my question
Answer:
180 667 777 98827
Step-by-step
the graaph has three differnt lines that connet
7th grade math
3/4 times 1/2
Answer:3/8
Step-by-step explanation: 3/4 x 1/2 = 3/8
Need help with this ASAP I’ll mark brainliest
Answer:
g = 30 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse g is equal to the sum of the squares on the other 2 sides , that is
g² = 18² + 24² = 324 + 576 = 900 ( take square root of both sides )
g = [tex]\sqrt{900}[/tex] = 30
Match the terms to their definition.
1. the result of a transformation on a point or figure
2. a transformation that preserves distance
the flipping of a plane about a fixed line; a transformation
3.
resulting in a mirror image over a line
the process of setting up correspondence between the
4. elements by of two sets so that every element of the first set corresponds to a unique element in the second set
Isometry
Image
Reflection
Transformation
I believe the numbers didn't fully correspond with the definitions so I tried my best to fix them and then match them.
Answer:
Isometry = 2: A transformation that preserves distance.
Image = 1: The result of a transformation on a point or figure.
Reflection = 3: The flipping of a plane about a fixed line; a transformation resulting in a mirror image over a line.
Transformation = 4: The process of setting up correspondence between the elements of two sets so that every element of the first set corresponds to a unique element in the second set.
PLSSS HELP
Order the numbers from least to greatest
Answer:
It is the Last answer D
Step-by-step explanation:
because 15/2 is equal to 7 1/2
the square room of 64 is 8
and 8.1444444 is less than 8 1/7
b. Solve 3v – 5 = 2v + 10 by gathering the constant terms on the left side
and the variable terms on the right side of the inequality.
Answer:
so subtract -2v to the left side add 5 to the right side so your left with
v = 15
Answer:
15 = v
Step-by-step explanation:
First start by grouping like terms,
=> - 5 - 10 = 2v - 3v
evaluate the LHS and RHS
=> - 15 = - v
Divide through by the coefficient of v, which in this case is - 1
=>
[tex] \frac{ - 15}{ - 1} = v[/tex]
Therefore, 15 = v
-10x + 2y = 12
What is each equation in slope intercept form
Answer:
[tex]y = 5\, x + 6[/tex].
Step-by-step explanation:
The slope-intercept equation of a line in a plane should be in the form [tex]y = m\, x + b[/tex] for some constant [tex]m[/tex] ("slope") and constant [tex]b[/tex] ([tex]y[/tex]-"intercept".)
In the slope-intercept equation, [tex]y[/tex] should be the only term on the left-hand side of the equation with a coefficient of [tex]1[/tex]. No term on the right-hand side shall include [tex]y\![/tex].
Rewrite the given equation to obtain the slope-intercept equation of this line.
[tex](10\, x) + (-10\, x) + 2\, y = (10\, x) + 12[/tex] (Add [tex]10\, x[/tex] to both sides of this equation.)
[tex]2\, y = 10\, x + 12[/tex].
[tex]y = 5\, x + 6[/tex]. (Divide both sides by [tex]2[/tex], such that the coefficient of [tex]y[/tex] becomes [tex]1[/tex] as required.)
Therefore, the slope-intercept equation of this line would be [tex]y = 5\, x + 6[/tex], with slope [tex]m = 5[/tex] and [tex]y[/tex]-intercept [tex]b = 6[/tex].
PLEASE HELP NEED TO GET THIS RIGHT WILL GIVE BRAINLIEST
Answer:
27 / 4x^6y^8.
Step-by-step explanation:
= 4 * 3^3 x^6 y^12 / 16 x^12 y^20
= 4*27 / 16 x^6y^8
= 4*27/ x^6y^8
= 27 / 4x^6y^8
Help it’s confusing please
Answer:
She had $150 in the beginning before she bought the swimming items.
Step-by-step explanation:
You have the right numbers for the equation but you also times the money she had in total.
The equation is x-3(44)=18
44 is the total for one daughter and you times that by three to get for three duaghters.
Then you multiply -3 and 44 which is -132.
Which would be x-132=18
Now you would move -132 to the other side which would be +132 →x=18+132
x=150
A teacher needs 35 model rockets for his students. Model rockets are sold in boxes of 3, boxes of 5, and boxes of 7. Which boxes could the teacher buy so he has no leftover rockets?
If x=4 then 2(x-4) equals
Answer:
0
Step-by-step explanation:
Need to plug in the x to the 4 then u get 2(4-4)
After that it will equal to 0 the 4-4
2(0)=0
Write an equation of the line that passes through the pair of points.
(-5,-4), (5,-3)
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for the slope a :
x changes by +10 (from -5 to 5)
y changes by +1 (from -4 to -3)
the slope is +1/+10 = 1/10
the equation looks now like
y = (1/10)x + b
let's use the first point.
-4 = (1/10)×-5 + b = -1/2 + b
-3 1/2 = -7/2 = b
the equation is
y = (1/10)x - 7/2
so, the second answer option is correct.
Shawn has 325 dollars if shawn uses only hundreds tens and ones write the number of each kind of bill that shawn has NEEDS TO BE ANSWERED ASAP
Answer:
3 hundreds, 2 tens, 5 ones
What is the value of x in this triangle?
Step 4: Plot the y-intercept.
The equation y = -4X -1 Has a slope of _______ possible answer choices: -4,-1, no slope and 0) and a y-intercept of possible answer choices: -4, -1 0 and no y-intercept)_______?
Answer:
slope = - 4 , y- intercept = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x - 1 ← is in slope- intercept form
with slope m = - 4 and y- intercept c = - 1
Answer:
-4 then -1
Step-by-step explanation:
The number behind the x value is the gradient and the last number is the y - intercept.
If f(1) = 5 and f(n) = 4f(n − 1) - 2 then find the value of f(5).
Hi,
This is the same situation as a sequence case.
You have two informations :
[tex]\left \{ {{f(1)=5} \atop {f(n)=4f(n-1)-2}} \right.[/tex]
You need to solve this rank by rank for n = 1, 2, 3, 4 and 5.
We already have f(n) for n = 1 : it is f(1) = 5.
n = 2 :
f(2) = 4 * f(2-1) - 2 = 4 * f(1) - 2 = 4 * 5 - 2 = 20 - 2 = 18 because f(1) = 5
n=3 :
f(3) = 4 * f(3-1) -2 = 4 * f(2) -2 = 4 * 18 -2 = 72 - 2 = 70
n = 4 :
f(4) = 4 * f(4-1) -2 = 4* f(3) - 2 = 4* 70 - 2 = 280 - 2 = 278
n = 5 :
f(5) = 4 * f(5-1) - 2 = 4*f(4) - 2 = 4 * 278 - 2 = 1112 - 2 = 1110
so f(5) = 1110
Good Luck
Round 76.28 to the nearest whole number
Answer:
76
Step-by-step explanation:
Answer:
76
Step-by-step explanation:
.28 is less than .50 therfore it will be rounded down to 76
Last minute homework due please help.
Answer:
8. 124 degrees
9. 48 degrees
10. 55 degrees
11. 120 degrees
12. 50.5 degrees
13. 118.7 degrees
1) What is the measure of
A) 350
B) 60°
C)110°
D) 120
2) Given that
A)35
B)60
C)65
D)120
Answer: I believe that answer is D.
Step-by-step explanation:
-The angle below it is also 120 degrees.
-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.
Right angle-is 90 degrees exactly
Hope this helps!
ill give u brainlist :)
4.08 + 8.7 what is the answer
Answer:
12.78
Step-by-step explanation:
because i said so
BRAINLIEST
please help me finish these
Answer:
15. 41.68 inches
16. 78.79°
Step-by-step explanation:
It's a little hard to explain in just text, but I'll try.
15 ================
This is assuming that "length" means the base of the ramp, not the top. Imagine/draw a right triangle with a 21° angle at the bottom and a height of 16 inches. We have the angle, the opposite side, and we need to find the adjacent side that is the base. Use tangent (soh cah toa) to find this.
[tex]tan(21)=\frac{16}{x} \\xtan(21)=16\\x=\frac{16}{tan(21)}[/tex]
x ≈ 41.68
16 ================
From the angle between the ladder and the ground, the ground is adjacent and the ladder is the hypotenuse. Given 2 sides and no angle, we'll use inverse cosine.
[tex]cos^{-1}(\frac{7}{36})=x\\[/tex]
x ≈ 78.79°
Estimate 98.46 multiply 4.11
400
350
450
200
Answer:
400
Step-by-step explanation:
98.46 = 100
8 is closer to 10 than 0
4.11 = 4
1 is closer to 0 than 10
100 x 4 = 400
Please help me!!!!!!!!!!! Find the coordinates of P scale factor of 3
Answer:
P'(3, -12)
Step-by-step explanation:
Assuming we're dilating the figure by a factor of 3 using the origin as the center of dilation, the coordinates of P' will be 3 times those of P:
P' = 3P
P' = 3(1, -4)
P' = (3, -12)
PLS HELP!!! WILL MARK BRAINLIEST!!! In the sign, m∠3 = (3y + 7)°, m∠4 = (5y + 5)°, and y = 21. Show that the sign posts are parallel.
Answer:
I don't know how to give you an answer without the picture but I can tell you that the measure of angle 3 is 70 degrees, and the measure of angle 4 is 110 degrees.
Step-by-step explanation:
Sorry if this isn't much help.
The points A(-3p-3, 2p), B(-5p+1, 0) and C(0, 8p), where p is a constant are collinear. Find: the value of p
Answer:
p = 5Step-by-step explanation:
Since all points are on same line, AB and BC have same slope.
Use slope formula and compare:
m(AB) = (0 - 2p)/(-5p + 1 + 3p + 3) = -2p / (-2p + 4) = p/(p - 2)m(BC) = (8p - 0)/(0 + 5p - 1) = 8p / (5p - 1)m(AB) = m(BC)Compare and solve for p:
p/(p - 2) = 8p/(5p - 1)8(p - 2) = 5p - 18p - 16 = 5p - 18p - 5p = 16 - 13p = 15p = 5suppose 40% of college students plan to vote in the election. now suppose we randomly select 200 college students and ask them if they plan to vote. what is the probability that more than 75 of the 200 students sampled plan to vote?
Answer:
62.5%
Step-by-step explanation:
need help asap please
I think it might be (B) 7
Write an exponential equation in the form y = ab^x whose graph passes through points (1,0.84) and (2,1.008)
Answer:
y = 0.7 * 1.2^x
Step-by-step explanation:
(1, 0.84)
0.84 = ab^1
(2, 1.008)
1.008 = ab^2
-------------------------
To find b divide the second point by the first
ab^2 / ab^1 = 1.008 / 0.84
b = 1.2
----------------------
To find a plug b = 1.2 into the first point
0.84 = a * 1.2^1
0.84 = a * 1.2
Divide both sides by 1.2
0.7 = a
------------------------
The equation is
y = 0.7 * 1.2^x