Answer:
10+3pi
Step-by-step explanation:
The perimeter of of the shaded region is
AC+CT+marcSBT+SA
*Finding AC
The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.
*Finding CT
CT=RT-RC where RC is the width of the rectangle
Also RT is a radius so we have that
CT=6-RC
*Finding marcSBT
The circumference of a whole circle is 2pi*r.
We have a quarter of this with r=6.
1/4*2pi(6)
1/4*12pi
3pi
*Finding SA
SA=RS-AR
RS is a radius of the circle and AR is the length of the rectangle.
So we have that this can be rewritten as
SA=6-AR
Let's put these parts together:
6+6-RC+3pi+6-AR
Simplifying:
18-RC-AR+3pi
18-(RC+AR)+3pi
18-8+3pi (Remember length plus width equal 8)
10+3pi
What is the first term of the series?
a1 =
✓
Answer each question about the following
geometric series
10
k-1
S10 = 32
k-1
How many terms are in the series?
COMPLETE
Σ3(2): -
What is the last term of the series?
a1 =
1
DONE
2
9
10
COMPLETE
Answer:
Below.
Step-by-step explanation:
The first term (where k = 1)
= 3(2)^1-1
= 3*1
= 3,
The last term ( k = 10)
= 3(2)^(10-1)
= 3(2)^9
= 3* 512
= 1536.
Answer:
3
1536
A
Step-by-step explanation:
i have no clue what i’m doing
Answer:
c(x) = 16x + 22736
R(x) = -2x^2 + 524x
[ -2x^2 + 508x - 22736] = 0
Factored: f(x) = -2(x - 196)(x - 58)
58 to break even
Step-by-step explanation:
Your cost is the amount it cost you to "make" stuff.
You have fixed and variable costs (cost of oven is fixed cost of flower and sugar is variable to make cupcakes)
your cost is c(x) = 16x + 22736
"your oven and building cost $22736 per month and you use $16 worth of sugar butter flour to make one cupcake ( it must be a huge one) ...
your revenue is the amount of money that "comes into your business"...
the amount of money in the cash register.... Note: this is only money IN you still have to pay for the building, sugar flour etc.
R(x) = -2x^2 + 524x
Note: the minus and the square basically say that the more you charge the less cupcakes you will sell...
Profit is the money in minus the money out
P - R - E [ -2x^2 + 524x ] - [16x + 22736]
the break even point is where the two functions are the same
in other words where C=R or R-C=0
[ -2x^2 + 524x ] = [16x + 22736]
[ -2x^2 + 508x - 22736] = 0
Factored: f(x) = -2(x - 196)(x - 58)
Answer:
Step-by-step explanation:
C(x)=16x+22736
R(x)=-2x²+524x
P(x)=R(x)-C(x)
=-2x²+524x-16x-22736
=-2x²+508-22736
when profit is zero then no gain or loss.
so -2x²+508x-22736=0
or x²-254x+11368=0
196+58=254
196×58=11368
x²-54x-196x+11368=0
x(x-54)-196(x-54)=0
(x-54)(x-196)=0
x=54,196
so x=54 is the smallest number of bins to break even.
You are playing a game with your friend to see who can make the most baskets from the free-throw line. Each of you has 5 shots at the basket. How many ways are there for you to make exactly 4 shots?
A) 4
B) 5
C) 10
D) 6
Answer:
B) 5
Step-by-step explanation:
The given parameters are;
The number of shots at the basket = 5 shots
The number of ways to make exactly 4 shots is given by combination as follows;
The number of ways to shoot exactly 4 shots = ₅C₄ = 5!/(4!×(5 - 4)!) = 5
The number of ways to shoot exactly 4 shots = 5 ways
Please help me!! Thank you.
Answer:
8640
Step-by-step explanation:
According to question,
P= 6000
T=3 year 8 months = 11/3 years
R= 12% per annum
Simple interest is given by :
[tex]SI=\frac{PRT}{100} \\SI=\frac{6000*12}{100} *\frac{11}{3} \\SI=24*11\\SI=2640 Rs[/tex]
Now,
Amount = P+SI
Amount=6000+2640
Amount=8640 Rs
8640 Rs amount which will clear her debt
evaluate 3|-3|
a. -6
b. 6
c. 9
d. -9
Answer:is that 3i or what?
-
Step-by-step explanation
Answer:
It's answer is d) 9
.........
The price of a technology stock has risen to $9.66 today. Yesterday's price was $9.59. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
% increase = 100 x [(new price) - (original price)] / (original price)] = 100 (9.67 - 9.56) / 9.56
% increase ≅ 1.2% (to the nearest tenth)
Select the correct answer.
Tommy has a rectangular-shaped swimming pool. He wants to know the volume of water in the pool, but he is not sure what the width of the
pool is. He knows the relationship between the width and the length and height of the pool. He used this relationship to come up with the
following equation to find the volume of the pool when the width is w meters.
A. Z
B. X
C. Y
D. W
Answer:
it is x
Step-by-step explanation:
The volume of a shape is the amount of space in it.
The graph that satisfies the above condition is the (b) graph X:
The volume of a rectangular-shaped swimming pool is
[tex]\mathbf{V=l \times w \times h}[/tex]
Where:
[tex]\mathbf{l,w,h \ge 0}[/tex] ---all the dimensions are greater than 0
[tex]\mathbf{l,w,h \ge 0}[/tex] means that:
The graph of V must have three x interceptsThe graph of V must not pass through the origin (0,0)From the given graphs, the graph that satisfies the above condition is the graph X:
This is so because it crosses the x-axis three times, and it does not pass through the origin
Read more about volumes at:
https://brainly.com/question/13338592
Find the value of x. Geometry
╭⋟───────────────
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
Given,
< BAG = 2x°
< BAC = 90° [ < EAF = 90° (vertically opposite angles are equal to each other)]
< CAD = x°
____________________
Value of x = ?
____________________
From the figure we can see that,
< BAG + < BAC + < CAD = 180° (supplementary angles)
____________________
So to solve,
[tex] < BAG + < BAC + < CAD = 180 \\ 2x + 90 + x = 180 \\ 2x + x + 90 = 180 \\ 3x + 90 = 180 \\ 3x = 180 - 90 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30[/tex]
⏩ The value of x is [tex]\boxed{30}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex]RainbowSalt2^{2}2^{2}[/tex] ღ
───────────────⋞╯
One evening the Scotts went to the Chalet Restaurant for
dinner. The bill was $67.65. Mr. Scott paid with four $20 bills.
How much change should he have received?
Given:
Total bill = $67.65
Mr. Scott paid with four $20 bills.
To find:
The amount of change he have received.
Solution:
It is given that, Mr. Scott paid with four $20 bills. So, the total amount paid by him is:
[tex]\$20\times 4=\$80[/tex]
Total bill = $67.65
Now,
Amount of change = Total amount paid - Total bill
= $80 - $67.65
= $12.35
Therefore, he should have received $12.35.
HELPEPEPPDODOEPPDPFPF
X =12
Step-by-step explanation:
Supplementary Angels means the angles are added up to 180 degrees.
So , <1 + <2 = 180
Given that,
<1 = 2x +6
Now lets find the size of <2.
We know that,
Angles in a Straight line is also added up to 180 degrees.
So,
<2+ < 3 = 180
Let's Solve.
[tex] < 2 + < 3 = 180 \\ < 2 +( 3x - 6) = 180 \\ < 2 = 180 - (3x - 6) \\ < 2 = 180 - 3x + 6 \\ < 2 = 186 - 3x[/tex]
Now we know the size of <2
lets find out the value of x
[tex] < 1 + < 2 = 180 \\ 2x + 6 + 186 - 3x = 180 \\ 186 + 6 - 180 = 3x - 2x \\ 12 = x[/tex]
Let's check whether the answer is correct.
We know that <1 =<3 (Alternative Angles)
[tex] < 1 = < 3 \\ 2x + 6 = 3x - 6 \\ 2 \times 12 + 6 = 3 \times 12 - 6 \\ 24 + 6 = 36 - 6 \\ 30 = 30[/tex]
Answer is Correct !!!Hope this helps you...Have a nice day
~Hi1315~Please help! Thank you :)
Step-by-step explanation:
[tex] \frac{ \frac{4x}{5 + x} }{ \frac{6x}{x + 2} } [/tex]
[tex] \ \frac{2(x + 2)}{3(5 + x)} [/tex]
[tex] \frac{2x + 4}{3x + 15} [/tex]
Answer:
2x+4 over 3x+15
Step-by-step explanation:
First divide 4x over 5+x by 6x over x+2 when multiplying 4x over 5+x by the reciprocal of 6x over x+2
Step 2: cancel out 2x in both numerator and denominator
Last step:use distributive property to multiply 2 by x+2 and 3 by x+5
Find the missing value
Answer:
? = 24/23 or 1 1/23
Step-by-step explanation:
In order to do this you have to:
1) Isolate the variable
- you do this by dividing each side by factors that don't contain the variable
- you divide because it is the opposite of multiplication
Hope this helps!
Someone please do this one
Answer:
150
Step-by-step explanation:
3x x 5= 15
y=15
5 x 15 = 75
75 x 2 = 150
Answer:
2xy = 150
Step-by-step explanation:
Plug in the values of x and y into 2xy.
You would get 2(5)(3x), which simplifies to 30x.
Plug in the value of x again.
30(5) = 150.
for which equation x=5 be a solution ?
a. 3 x +6=21
b. 12 - 2 x =13
c. 7+6 x+27
d. 4 x - 7=27
Answer:
a) 15+6 =21
Step-by-step explanation:
help please asap just the answers
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]
7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]
[tex] \huge\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]
[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]
[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]
[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{\:13}}}}[/tex]
8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{-14}}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
At the beginning of the school year, Liya's goal was to earn an A on
at least 85% of her 60 quizzes for the year. She earned an A on 35 of the first 40
quizzes. If she is to achieve her goal, on at most how many of the remaining
quizzes can she earn a grade lower than an A?
A: 1
B: 2
C: 3
D: 4
E: 5
Answer:
4
Step-by-step explanation:
If 15% of quizzes don't have to be A's, that means that its 9 quizes that can be lower than an A. She already lost 5 which means she has four left.
Answer:
D; 4
Step-by-step explanation:
Step 1:
Let us figure out exactly how many As Liya has to earn for the year. We must find 85% of 60:
[tex]85 \%\ of\ 60=\\\frac{85}{100}*\frac{60}{1}=\\\frac{85}{5} *\frac{3}{1} =\\17*3=\\51[/tex]
Liya must earn 51 As this year to reach her goal. This also means that she can earn 9 grades lower than an A to still reach her goal ([tex]60-51=9[/tex]).
Step 2:
So far, Liya has earned 35 As out of 40 tests in total. This means that so far, Liya has earned 5 test grade lower than an A:
[tex]40-35=5[/tex]
In total, Liya can only have 9 grades lower than an A. Therefore:
[tex]9-5=\fbox{4}[/tex]
Liya can only earn [tex]\fbox{4}[/tex] grades lower than an A in the remaining quizzes.
I hope this helps! Let me know if you have any questions :)
Represent -2/11, -5/11, -9/11 on a number line.
Answer:
-9/ 11 ____-5/11 _____ - 2/11
Step-by-step explanation:
-2/11, -5/11, -9/11
All the numbers are negative ; the fraction which is largest is 9/11 ; then 5 /11 ; then 2 /11 ; however, since they are negative, they largest fraction becomes the least value.
Numbers on a number line are arranged from least to highest. Hence the numbers will be arranged in a number line as follows :
-9/ 11 ____-5/11 _____ - 2/11
What value of s makes the equation true?
Answer:
-17 =s
Step-by-step explanation:
-8s +4 = -7s +21
Add 8s to each side
-8s+8s +4 = -7s+8s +21
4 = s+21
Subtract 21 from each side
4-21 = s+21-21
-17 =s
Answer:
s = -17
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 EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-8s + 4 = -7s + 21
Step 2: Solve for s
[Addition Property of Equality] Add 7s on both sides: -s + 4 = 21[Subtraction Property of Equality] Subtract 4 on both sides: -s = 17[Division Property of Equality] Divide -1 on both sides: s = -17rewrite each pair of fractions using the least common denominator 5/6 2/5
Answer:
25/30 and 12/30
Step-by-step explanation:
6 and 5 have a least common multiple of 30
6*5 = 30
5/6 * 5/5 = 25/30
2/5 *6/6 = 12/30
Answer:
10/12 4/10
Step-by-step explanation:
A map of an island is shown on a half-centimeter grid,
where A, B, and Care houses.
The actual distance between A and B
is 960 meters.
a) Work out the scale on the map
Give your answer as 1:n
Answer:
The answer is below
Step-by-step explanation:
A map can either be scaled up or scaled down. If the map is enlarged then it is scaled up and hence represented by n:1, where n > 1. While is the map is reduced, it is scaled down and is represented by 1 : n, where n < 1.
Since one box has a length of 1 cm by 1 cm. The distance between A and B is 4 boxes = 4 cm = 0.04 m
Hence the scale is given as 1:n, where n > 1. n is gotten from:
n = 960 m / 0.04 m = 24000
Therefore the scale is 1 : 24000
Answer:
1:48000
Step-by-step explanation:
960m=96000cm
Please help, find the slope.
Answer:
[tex]\displaystyle m = \frac{-2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (0, -1)
Point (-3, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1 - -1}{-3 - 0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{2}{-3}[/tex]Rewrite: [tex]\displaystyle m = \frac{-2}{3}[/tex]Which of the following equations represents the graph of a line that is perpendicular to the graph of y = kx + b (where k and b are constants) and goes through the point (3, -4)?
Answer:
Step-by-step explanation:
When you ask "which of the following"
you must include the choices
If p + q= 12 and pq=22, then find p2+q2.
p2 = p square
q2 = q square
(Don't get confused)
p+q = 12
Squaring both the sides
(p+q)^2 = 12^2
p2 + q2 + 2pq = 144
p2 + q2 + 2x 22 = 144
p2 + q2 = 144 - 44
p2 + q2 = 100
Answer:
q2=
Step-by-step explanation:
The formula for p^2+q^2p
2
+q
2
is
p^2+q^2 = (p+q)^2 -2pqp
2
+q
2
=(p+q)
2
−2pq
By rounding to 1 significant figure, estimate
494.37
÷
5.12
please help tyty x
Answer:
100
Step-by-step explanation:
rounding to 1 sig figure
494.37 ≈ 500
5.12 ≈ 5
Estimating
500 ÷ 5 = 100
You roll two 6-sided dice.
What is the probability that you would roll an even number on the first dice and a number greater than 4 on the second?
A board 180 cm long is cut into two pieces such that 3 times the length of the larger piece is 85 cm longer than 4 times the length of the smaller piece. How long are the two pieces of board?
Answer:
smaller piece is 65cm
larger piece is 115cm
Step-by-step explanation:
let 's' = smaller piece
let '180-s' = larger piece
3(180-s) = 85 + 4s
540 - 3s = 85 + 4s
540 = 85 + 7s
455 = 7s
s = 455/7 which is 65cm
larger piece = 180-65 or 115cm
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information.
Answer:
0.5x = 25.5
Step-by-step explanation:
Peter was thinking of a number x, then he halves it's
(2x-y)2-(y+2)2:::::::::::::::
Answer:
(2x - y )2 - (y + 2)2 = 4 (x - y - 1)
Step-by-step explanation:
[tex](2x -y) 2 - ( y + 2 ) 2 = (4x -2y) -(2y + 4) \\\\[/tex]
[tex]= 4x - 2y -2y - 4\\\\=4x - 4y - 4\\\\=4(x-y-1)[/tex]
Willl
Give
Brainlist
Answer
:))
Answer:
[tex]x=54^{o}[/tex]
Step-by-step explanation:
Angles of straight line: 126 and x = 180
[tex]x+126=180[/tex]
[tex]x=180-126[/tex]
[tex]x=54^{o}[/tex]
{CHECK: [tex]54+126=180[/tex]}
hope this helps.....
Fill in the blank with the correct response.
If x:6 as 3:9, then x is equal to .
Answer:
X is equals to 2
Step-by-step explanation:
I hope it helps you