True or False
3 is a factor of n(n + 2)(n − 1) by mathematical induction.
Explain why.
true true true true true true true
Answer:
false
Step-by-step explanation:
3(3+2)(3-1) is not =0
The factor of n(n+2)(n-1) = 1
algebraic expressions x+2/x2+x-3/x2-x-2 find the l.c
m
m
Answer:
= x^2-3x-4/x(x+1)(x-2)
Step-by-step explanation:
x+2/x2+x - 3/x2-x-2
=x+2/x(x+1) - 3/x^2-x-2
=x+2/x(x+1) - 3/x^2-2x+x-2
= x+2/x(x+1) - 3/x(x-2)+1(x-2)
= x+2/x(x+1) - 3/(x+1)(x-2)
Find the LCM
= (x+2)(x-2)- (3x)/x(x+1)(x-2)
= (x+2)(x-2)- (3x)/x(x+1)(x-2)
= x^2-4-3x/x(x+1)(x-2)
= x^2-3x-4/x(x+1)(x-2)
can someone please help me with this?? im trying to retake this test and correct a few questions
Line CB is tangent to circle A at point B. The measure of angle CBA is ___ degrees.
Answer:
90° is rhe correct answer..
Which of the following choices is the standard deviation of the sample shown
here?
18, 19, 20, 21, 22
A. 2
B. 12.5
C. 20
D. 2.5
E. square root of 2
Answer: E. square root of 2
We can write that in shorthand as sqrt(2)
sqrt(2) = 1.41421 approximately
======================================================
Explanation:
Step 1)
Add up the values to get 18+19+20+21+22 = 100
Divide by n = 5, since there are 5 items in the list. So 100/n = 100/5 = 20
The sample mean is xbar = 20
--------------
Step 2)
Subtract the mean from each data value
18 - xbar = 18 - 20 = -219 - xbar = 19 - 20 = -120 - xbar = 20 - 20 = 021 - xbar = 21 - 20 = 122 - xbar = 22 - 20 = 2The results we get are: -2, -1, 0, 1, 2
---------------
Step 3)
Square the results from the previous step
(-2)^2 = 4(-1)^2 = 1(0)^2 = 0(1)^2 = 1(2)^2 = 4The results here are: 4, 1, 0, 1, 4
---------------
Step 4)
Add up those squares from the previous step: 4+1+0+1+4 = 10
Now divide by n = 5 to get 10/n = 10/5 = 2
The result 2 represents the population variance. Applying the square root to the population variance leads to the population standard deviation. So we end up with the final answer of sqrt(2). The answer is choice E.
sqrt(2) = 1.41421 approximately
---------------
Note: if you want the sample standard deviation, then you divide by n-1 = 5-1 = 4, but the other steps are the same as before.
Recursive formula for
-4,3,10,17
Answer:
Recursive:
Step-by-step explanation:
Common difference ( d ): 17 - 10 = 7
Recursive Arithmetic:
[tex]a_n = a_{n-1} + d[/tex]
[tex]a_n = a_{n-1} + 7[/tex]
[tex]a_1 = -4[/tex]
Hopefully this helped!
Two angles in a triangle have measures of 25° and 55º.
What is the measure of the third angle?
A. 135
B. 100
C. 80°
D. 30°
Help please hurry
Answer:
B
Step-by-step explanation:
180 - (25 + 55) = 180 - 80 = 100°
help!! What is 78,400,000 expressed in scientific notation?
A. 78.4 x 10
B. 7.84 x 10
C. 78.4 x 10
D. 784 x 10
Find the distance between the points (4,5) and (10, – 3). Round decimals to the nearest tenth
Answer:
10 is the distance.
Question
Help me please
Answer:
CORRECT STATEMENTS:
ABDStep-by-step explanation:
The equation for the volume of cylinder is v=
Answer:
V=Pie R^2 H
Step-by-step explanation:
I just looked it up
What is the value of
(5x2)3 + 16y + 4y for x = 2 and y = 3?
hello
Step-by-step explanation:
[tex]90.[/tex]
90 is the answer:)
can someone help i’m confused
PN = LO
__________________________
(LO)^2 = (LN)^2 + (NO)^2
(LO)^2 = 6^2 + 8^2
(LO)^2 = 36 + 84
(LO)^2 = 100
LO = √100
LO = 10
__________________________
Thus :
PN = 10
Step-by-step explanation:
So, we can assume that LN and PO are equal in length and NO and LP are equal in length as well. LO and PN are also equal.
We can see that PN is the hypotenus of either triangle NLP or NOP. LO is the hypotenuse of LOP and LON, so those could be used to find the length as well. I rather work with NOP, but any work.
We know that NO is 8 units long and LN is 6 units long. Because LN = PO, PO = 6 units.
So, using the pythagorean theorem, the hypotenuse is:
8^2 + 6^2 = c^2
64 + 32 =c^2
sqrt(96)=c
c~9.8
I don't know how exact they want your answer.
c = 9.79795897113
PLEASE HELP ME WITH THIS GEOMETRY PROBLEM!! SHOW WORK!!
Answer:
Solution given:
In right angled triangle
ABC.
with respect to <C=40°
opposite side=AB
adjacent=BC=DE=30ft
now
relationship between opposite side and adjacent
is given by tan angle
tan 40°=oppo/adjacent
tan40°=AB/30
AB=tan40*30
AB=25.2
Now
height of flagpole =AB+BE=25.2+5=30.2ft
option 4th is a required answer
a) what is 42%of 250? please explain the method......
Answer:
105
Step-by-step explanation:
42% as a fraction is 0.42 .
multiply that with 250 to find 42% of 250.
250 * .42 = 105
Answer:
105
Step-by-step explanation:
What is 42% of 250?
Let's break this question down.
We have:
42% – A percent is a fraction out of 100. 100% being fully complete. We can express 42% as 42/100 or 0.42.
of – This symbolizes multiplication.
250 – This is our total.
Now let's set up an equation.
42% of 250
0.42 • 250 = ?
Now, multiply.
105
This is your answer.
42% of 250 is 105.
Hope this helps!
Please solve for x. Round to nearest tenth, if necessary.
Answer:
9.8
Step-by-step explanation:
=5.9 . tan 59° = 5.9 × 1.66 = 9.8
find the missing length of the triangle
Answer:
B) 28 in
Step-by-step explanation:
Pythagorean thm formula:
a² + b² = c²
Given:
b = 45
c = 53
Work:
a² + b² = c²
a² + 45² = 53²
a² + 2025 = 2809
a² = 2809 - 2025
a² = 784
[tex]\sqrt{a^2} =\sqrt{784}[/tex]
a = 28
9 boys can paint a basketball court in 3 hours how long should 1 boy take working at the same rate
4x-2=-13 solve for x
Answer:
x = -11/4
Step-by-step explanation:
4x - 2 = -13
(add 2 on both sides)
4x - 2 + 2 = -13 + 2
4x = -11
(Divide 4 on both sides)
4/4x = -11/4
x = -11/4
Answer:
ANSWER :-[tex]4x - 2 = -13\\4x = -13 + 2\\4x = -11\\x = - \frac{11}{4} \\x =- 2.75\\[/tex]
The value of x is - 11/4 in fraction form & - 2.75 in standard form.
hope it helps
# RainbowSalt2222
Ravi solved this question. His teacher told him he made a mistake. Can you helphim to get the correct step ? 56–(–73) = 56 + __________
Answer:
56+73
Step-by-step explanation:
The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A} = \blueD{6x - 18^\circ}∠A=6x−18
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B} = \green{14x +38^\circ}∠B=14x+38
∘
The answer is 30 :)
Answer:
∠A = 30
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
PLEASE HElp asap
Solve for x.
x = [?]
X + 19
7x + 9
Help!!! Whats x ive been struggling
Answer:
x = 2
Step-by-step explanation:
GIVEN :-
KJ = 3 unitsQR = 12 unitsJL = x unitsQS = x + 6 unitsTO FIND :-
The value of xSOLUTION :-
To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-
[tex]\frac{KJ}{JL} = \frac{QR}{QS}[/tex]
[tex]=> \frac{3}{x} = \frac{12}{x + 6}[/tex]
Cross multiply the denominators.[tex]=> 3(x + 6) = 12 \times x[/tex]
[tex]=> 3x + 18 = 12x[/tex]
Substract both the sides from 3.[tex]=> 12x - 3x = 3x + 18 - 3x[/tex]
[tex]=> 9x = 18[/tex]
Divide both the sides by 9[tex]=> \frac{9x}{9} = \frac{18}{9}[/tex]
[tex]=> x = 2[/tex]
which equation can be used to solve for x
Answer:
x+41=90
Step-by-step explanation:
Because that is square which means 90 degrees so 41 degrees plus x equals to 90
Hi there!
»»————- ★ ————-««
I believe your answer is:
The second option, [tex]\boxed{x+41=90}[/tex].
»»————- ★ ————-««
Here’s why:
In the picture given, there are two angles that, together, make up a right angle. You can also tell that it is a right angle because of the box marked in the bottom left corner. The angles in the picture are also complementary angles. Complementary angles add up to 90°. Right angles measure 90°.⸻⸻⸻⸻
We can use the information given to set up an equation.
[tex]\boxed{\text{An equation to find 'x'.}}\\\\\text{The sum of the angle's measurements: }90$^{\circ}$\\\\\text{The given measurement for one of the angles: }41$^{\circ}$\\\\----------------\\\\\underline{The sum of the two angle measurements would be 90 degress.}\\\\\text{Given angle mesurement} + x = 90\\\\\boxed{41 + x = 90}[/tex]
Option B matches the equation made. Therefore, option B should be the correct answer.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve the equation 2x-4y=4 for y
A gift shop at an amusement park sells key chains. The gift shop has 55 key chains. When the number of key chains is below 10, the manager will reorder. If the gift shop sells 4 key chains each day, how many days will it take before the manager has to reorder?
Answer:
12
Step-by-step explanation:
this equation can be derived from the question
55 - 4x < 10
< = less than
x = number of days
solve for x
55 - 10 < 4x
45 < 4x
x < 11.25
at the 11th day, there would be 11 keys left
on the 12th day, there would be 7 keys left
the correct answer is 12 days
Order these numbers from least to greatest.
3.4051, 3.006, 3.06, 3.4
I need the right answer i need the right answer
Answer:
3.006, 3.06, 3.4, 3.4051
Step-by-step explanation:
3.006 < 3.06 < 3.4 < 3.4051
Simplify the expression. Write your answer as a power.5^8
5^5
Answer:
5^13
Step-by-step explanation:
when multiplying numbers with the same base, you add the exponents
Answer:
5^13
Step-by-step explanation:
5^8 = 390625
5^5= 3125
Since you have to write you answer as a power you would do 5^8+5^5= 5^13
2. What is the area of this triangle?
8
4
Answer:
area of triangle=base*height/2
4*5/2
=20/2
=10
Step-by-step explanation:
help pls pls pls plsss <3
Answer:
B and C are true
Step-by-step explanation:
domain shows all values of x
B is correct
range shows all values of y
C is correct
PLEASE HELP FAST!!! Estimate the line of best fit using two points on the line.
Answer:
D) y= -1/2x+9
Step-by-step explanation:
if u substitute y with 8 u will get 2
if u substitute y with 5 u will get 8
Answer:
D
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}=xy_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (8, 5)
m = [tex]\frac{5-8}{8-2}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, 9) ⇒ c = 9
y = - [tex]\frac{1}{2}[/tex] x + 9 → D