Answer:
996
Step-by-step explanation:
n = 2006-11+1 = 1996
the sum A = 1996/2 × (11+2006)
= 2,012,996
so, the last 3 digits : 996
Solve for p.
5p − 8(6p − 5) = p − 4
p =
Answer:
[tex]p = 1[/tex]
Step-by-step explanation:
[tex]5p - 8(6p - 5) = p - 4[/tex]
[tex] - 43p - 40 = p - 4[/tex]
[tex] - 43p - p = - 40 - 4[/tex]
[tex] - 44p = - 44[/tex]
[tex]p = \frac{ - 44}{-44} [/tex][tex]p = 1[/tex]
Hope it is helpful.....Answer:
[tex] p =\frac{22}{27} [/tex]
Step-by-step explanation:
5p - 8(6p - 5) = p - 4
-5p - 48p + 40 = p - 4
-53p + 40 = p - 4
-53p - p = -4 - 40
-54p = -44
p = 44 ÷ 54
p = 44/54
simplify with factor 2
p = 22/27
The interior angle of a polygon is 108⁰ greater than the exterior angle. How many sides has the polygon
=========================================================
Explanation:
x = exterior angle
x+108 = interior angle, as its 108 degrees larger than the exterior
The two angle pairs add up to 180, since they form a straight line
exterior+interior = 180
x+(x+108) = 180
2x+108 = 180
2x = 180-108
2x = 72
x = 72/2
x = 36
The exterior angle is 36 degrees which means we have n = 360/x = 360/36 = 10 sides. This polygon is a decagon.
Answer:
10 sidesStep-by-step explanation:
Let the number of sides is n.
We know the sum of interior angles is:
180(n - 2)So each interior angle is:
180(n - 2)/nWe also know the sum of exterior angles is 360, so each exterior angle is:
360/nWe are given the difference of the interior and exterior angles:
180(n - 2)/n - 360/n = 108Solve the equation for n:
180(n - 2) - 360 = 108n180n - 360 - 360 - 108n = 072n = 720n = 10The polygon has 10 sides
Describe the differences that exist between the informal geometric reasoning and formal thinking used to prove conjectures
Answer:
hey
Step-by-step explanation:
Formal geometric reasoning gives better information than informal geometric reasoning.
What is informal geometry?Informal Geometry is defined as the aid for understanding geometry via questioning, practices, and conjecture. Subjects include stature, balance, isometries, and proportions, with scaling as a major theme.
What is formal geometric?Formal geometry is defined as geometric explanations that are ways to formally make an opinion about a particular formation or figures in the geometrical entity, a formal geometric explanation is a detailed way to deliver that specific figures or domains which are congruent.
An an conjecture is made often using observation and detail given on the basis of logical observation is termed informal geometric reasoning,
While in formal geometric reading calculation-based approximation conjectures gives better detail of the informal geometric reasoning.
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C = 5/9 (F - 32)...solve for F
Answer:
F = (9/5 ×C) + 32
Step-by-step explanation:
Apply Change of subject
Divide both sides by 5/9
9/5 × C = F - 32
》F = (9/5 ×C) + 32
..A number divided by 5 is 15 how do you right it as a equation
Answer:
75
Step-by-step explanation:
Let's say the unknown number is x
x/5 = 15
x = 15*5
x = 75
5x = y
identify the slope and y intercept for the line
Answer:
the slope is 5
and the intercept is 0
Step-by-step explanation:
I'm not smart like 60% but help
Answer:
SEE THE IMAGE FOR SOLUTION.
HOPE IT HELPS
Somebody help me please
Answer:
Proven.
Step-by-step explanation:
X^2+4x+3
--------------
x^2-1
Reduce the above expression to its lowest terms
Answer:
your answer is 4x+4
Step-by-step explanation:
x^2-1) x^2+4x+3 (1
x^2 -1
(-) (+)
4x+4
quotiend is 1
remainder is 4x+4
Answer:
your answer is 7x/-1
Step-by-step explanation:
x^2 cancels out x^2
4+3=7
therefore your answer is 7x/-1
Acellus
Complete the data table for the function
f(x) = -x-2 + 2.
Х
-2
-3
-6
-11
Y
[?]
Enter
Answer:
x= -6 —> y= 4
x= -11 —> y= 5
Step-by-step explanation:
x= -6 —> y= 4
[tex]f( - 6) = \sqrt{ - ( - 6) - 2} + 2 \\ = \sqrt{6 - 2} + 2 \\ = \sqrt{4} + 2 \\ = 2 + 2 \\ = 4[/tex]
x= -11 —> y= 5
[tex]f( - 11) = \sqrt{ - ( - 11) - 2} + 2 \\ = \sqrt{11 - 2} + 2 \\ = \sqrt{9} + 2 \\ = 3 + 2 \\ = 5[/tex]
I hope I helped you^_^
The value of the function f(x) for the corresponding x = -6 and x =-11 is equal to 4 and 5 respectively.
The function f(x) = √( -x -2) + 2
The value of x and f(x) are ,
x : -2 -3 -6 -11
f(x) : 2 3 ? ?
Now to find the missing value of f(x) substitute the value of x in f(x) we have,
When x = -6
f(x) = √( -x -2) + 2
⇒ f(x) = √( -( -6) -2) + 2
⇒ f(x) = √(6) -2) + 2
⇒ f(x) = √(4) + 2
⇒ f(x) = 2 + 2
⇒ f(x) = 4
And when x = -11
f(x) = √( -x -2) + 2
⇒ f(x) = √( -( -11) -2) + 2
⇒ f(x) = √(11) -2) + 2
⇒ f(x) = √(9) + 2
⇒ f(x) = 3 + 2
⇒ f(x) = 5
Therefore, the missing values of the function are 4 and 5.
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Solve the following equation:
14a – (2a + 9) = {(12a - 18)
a =
Answer:
no solution
Step-by-step explanation:
14a – (2a + 9) = (12a - 18)
Distribute the minus sign
14a – 2a - 9 = (12a - 18)
12a -9 = 12a -18
Subtract 12a from each side
12a -9-12a = 12a-18-12a
-9 = -18
This is not a true statement so there is no solution
Anyone... l will give BRAINLIEST!!
Answer:
T (6, 5 )
Step-by-step explanation:
Using the section formula
If (x₁, y₁ ) and (x₂, y₂ ) are divided in the ratio m : n , then
( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex] , [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] ) are the coordinates of the internal point
Here (x₁, y₁ ) = A (- 4, 10 ) , (x₂, y₂ ) = B (10, 3) , m : n = 5 : 2
T = ([tex]\frac{2(-4)+5(10)}{5+2}[/tex] , [tex]\frac{2(10)+5(3)}{5+2}[/tex] )
= [tex]\frac{-8+50}{7}[/tex] , [tex]\frac{20+15}{7}[/tex] )
= [tex]\frac{42}{7}[/tex] , [tex]\frac{35}{7}[/tex] )
= (6, 5 )
In the figure, AOB is a straight line. Find the value of x.
Answer:
x =36
Step-by-step explanation:
The three angles form a straight line which means they add to 180
2x+2x+x = 180
Combine like terms
5x = 180
5x/5 = 180/5
x =36
Answer:
X=36
Step-by-step explanation:
A straight line like the one shown in the image has 180° by one side.
Following that, we should assume that:
2x+2x+x=180°
5x=180°
x=36°
I hope I have helped you.
b) Convert 101, into denary number
If 101 is given in base b, then in base 10 you have
[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]
For instance, if b = 2, then
101₂ = 2² + 1 = 5₁₀
If b = 3, then
101₃ = 3² + 1 = 9₁₀
If b = 4, then
101₄ = 4² + 1 = 17₁₀
The answer depends entirely on the base of the given number.
The box plots show the amount of time It took members of cross-country teams from two different schools to finish a two-mile run.
A. There is a weak evidence that team members from School J run slower than team members from School K.
B. There is no evidence that team members from School J run slower than team members from School K.
C. It is certain that team members from School J run slower than team members from School K.
D. There is strong evidence that team members from School J run slower than team members from School K.
Answer:
D
Step-by-step explanation:
You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 4 total people. How much
yogurt should you add
Answer:
2 cups of yogurt
Step-by-step explanation:
1=1/2
4=4×(1/2)
=2
“Angle 7 and angle 8 are complementary. Angle 5 ≅ angle 8 and the measure of angle 6 = 29. Show your work to find the measure of angle 7 and 5.”
Based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
What are Complementary Angles?Complementary angles have a sum that is equal to 90 degrees. If two angles are complementary, then their sum = 90 degrees.
Angle 7 and angle 8 are complementary [given]
Angle 5 and angle 6 will also be complementary
Angle 5 ≅ angle 8 [given]
Angle 7 will also be congruent to angle 6
Measure of angle 6 = 29° [given]
Measure of angle 7 = 29°
Measure of angle 5 + measure of angle 6 = 90 degrees
Substitute
Measure of angle 5 + 29° = 90°
Measure of angle 5 = 90° - 29°
Measure of angle 5 = 61°
Therefore, based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
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The slope of a line equals the “run over the rise.”
True or false
Answer:
False
Step-by-step explanation:
The slope of a line is
Change in y over change in x
This is also known as rise over run
plz solve this for me as soon as possible
Answer:
Hello,
Step-by-step explanation:
[tex]f(n)=4n-5\\\\g(n)=an+b\\\\(gof)(n)=5n+1\\\\f(g(n))=f(an+b)=4*a*n+4b-5=5n+1\\\\4an=5n ==> a=5/4\\4b-5=1 ==> 4b=6 ==> b=3/2\\\\\\\boxed{g(n)=\dfrac{5n}{4} +\dfrac{3}{2} }\\\\[/tex]
Someone please help find the answer. I already know it’s not C.
Answer:
I can't see the question
Step-by-step explanation:
Take a proper picture
Point B is on line segment AC. Given AB=4x-6, AC=2x+10, and BC=4, determine the numerical length of AC
Answer:
AC = 22
Step-by-step explanation:
AB + BC = AC , substitute values
4x - 6 + 4 = 2x + 10 , that is
4x - 2 = 2x + 10 ( subtract 2x from both sides )
2x - 2 = 10 ( add 2 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Then
AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22
- 50 = 6α + 28
Help pls
Answer:
A=13
hope this helped!!!
Answer:
-13
Step-by-step explanation:
-50=6a+28
collect like terms
-50-28=6a
-78=6a
divide both sides by the coefficient of a
-78/6=6a/6
a=-13
2/7-3/8+2/5 Simplify
Answer:
0.31
Step-by-step explanation:
(2/7)-(3/8)+(2/5)
Answer:
LCM: 7,8,5 = 280
80/280 - 105/280 + 112/280
87/280
Step-by-step explanation:
Determine the ordered pair that satisfies the equation, 5x + 2y = 7.
A
(8. – 33 )
B
(-1,1)
C
(-4,3)
D
(5,2)
E
I don't know yet
Answer:
None of the first 4 do. so I guess the answers E.
Step-by-step explanation:
Answer question worth 25 points plz help!
Answer:
B
Step-by-step explanation:
An object is dropped off a building that is 144 feet tall. After how many seconds does the object hit the ground? (d=16t^2)
wrong= reported.
ty<3
Answer:
after 3 seconds, the object hits the ground.
Hope this helps :)
kennedyfox!!!
You worked 14 hours last week and earned a total of $124 before taxes. Your job as a lifeguard pays $10 per hour and your job as a cashier pays $8 per hour. How many hours did you work at each job
kennedy look, i got my phone back and i wanna talk text me 850 533 1209, sorry anybody that are answering pls dont report im putting extra points ok
Step-by-step explanation:
let :
the job as lifeguard = A
the job as cashier = B
making 2 equations as follows :
(1) A+B = 14 ==> A = 14-B
(2) 10A + 8B = 124
substitute A (equation (1)) into equation (2) :
10(14-B) + 8B = 124
140 -10B +8B = 124
140- 2B = 124
140-124 = 2B
16 = 2 B
B = 8
A = 14-8 = 6
so, as a lifeguard = 6 working hours
and as a cashier = 8 working hours
Answer:
Step-by-step explanation:
Let the lifeguard hours = x
Let the cashier hours= y
x + y = 14
10*x + 8*y = 124 Multiply the top equation by 8 Put it under here.
8x + 8y = 112 Subtract
2x = 12 Divide by 2
x = 6
He worked 6 hours as a lifeguard.
x + y = 14
6 + y = 14 Subtract 6 from each side
y = 14 - 6
y = 8
He worked 8 hours as a cashier.
check
6*10 = 60
8 * 8 = 64
total 124
What’s the slope of the line?
Answer:
slope = - [tex]\frac{2}{3}[/tex]
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 )
Given
- [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{4}[/tex] y = 24 ( multiply through by 4 to clear the fractions )
- 2x - 3y = 96 ( add 2x to both sides )
- 3y = 2x + 96 ( divide terms by - 3 )
y = - [tex]\frac{2}{3}[/tex] - 32 ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $76.49 how many KWH of energy were used in house this month?
Please help ASAP!!!!! Also show details
Answer:
1)
AB = 23-18.9
AB= 4.1
~~~~~~~~~~~~~~~~~
2) 5x+15 = 50
5x=35
x=7
Step-by-step explanation: