Answer: 0.06
Step-by-step explanation:
Given
Eve's number decreases by 2 hundredths each time i.e. [tex]0.02[/tex]
Difference between 3rd and 4 th number is [tex]0.02[/tex], while the difference between 3 rd and 5 th is double the previous i.e. [tex]2\times 0.02=0.04[/tex]
So, the the difference between the 3 rd and 6 th number is three time the difference
[tex]\Rightarrow 3\times 0.02\\\Rightarrow 0.06[/tex]
BD is the angle bisector of
Note: Let us consider, we need to find the [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].
Given:
In the given figure, BD is the angle bisector of ABC.
To find:
The [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].
Solution:
BD is the angle bisector of ABC. So,
[tex]m\angle ABD=m\angle DBC[/tex]
[tex]3x=x+20[/tex]
[tex]3x-x=20[/tex]
[tex]2x=20[/tex]
Divide both sides by 2.
[tex]x=\dfrac{20}{2}[/tex]
[tex]x=10[/tex]
Now,
[tex]m\angle DBC=(x+20)^\circ[/tex]
[tex]m\angle DBC=(10+20)^\circ[/tex]
[tex]m\angle DBC=30^\circ[/tex]
And,
[tex]m\angle ABC=(3x)^\circ+(x+20)^\circ[/tex]
[tex]m\angle ABC=(4x+20)^\circ[/tex]
[tex]m\angle ABC=(4(10)+20)^\circ[/tex]
[tex]m\angle ABC=(40+20)^\circ[/tex]
[tex]m\angle ABC=60^\circ[/tex]
Therefore, [tex]m\angle DBC=30^\circ,m\angle ABD=30^\circ[/tex] and [tex]m\angle ABC=60^\circ[/tex].
Where? The crime was committed on the day and at one of the locations below, but which one? It happened where ALL the answers are true. B 5 cm oi -2 cm. 5 cm 9 cm 5 cm 3 cm 15 cm A 8 cm С 17 cm 8 cm 10 cm 1 cm 0.6 cm 7 cm D -15 cm 2 cm Monday in the gym The surface area of A is 150 cm 2. The volume of C is 8.4 cm 3 The volume of D is 750 cm The surface area of A is 1,500 mm 3 Tuesday in the dining The volume of B is 540cm room 3 The volume of D is 1200 cm 2 The surface area of A is 0.015 m 3 The volume of B is 0.00054 m The volume of D is 600 cm3 Thursday on the playing fields Friday in the maths classroom The surface area of A is 0.15 m 3 The volume of Dis 0.0006 m The volume of A is 125,000 mm3 The Accusation Who Where & when
9514 1404 393
Answer:
(C) Thursday on the playing fields
Step-by-step explanation:
The surface area of A is ...
SA = 6s² = 6(5 cm)² = 150 cm² = 150(0.01 m)² = 0.015 m²
This matches Monday and Thursday.
The volume of D is ...
V = Bh = (1/2bh)·h'
where b is the triangle base, h is the triangle height, and h' is the prism height.
V = (1/2)(15 cm)(8 cm)(10 cm) = 600 cm³
This matches Thursday only.
__
The Accusation: Thursday on the playing fields.
Answer:
{C} Thursday on the playing fieldI need help with this problem
Answer:
a. 74°
Step-by-step explanation:
Angle BCD and angle ACB are supplementary because they form a straight line. This means they add up to 180. We can write an equation to model the situation:
m<BCD + m<ACB = 180
106 + m<ACB = 180
m<ACB = 74
Since we are given two sides of the triangle are congruent, the triangle is isosceles. The base angles of an isosceles triangle are congruent, so we can say:
m<ACB = m<A
This means m<A is equal to 74°
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
Answer:
$425.6 should be budgeted for weekly repairs and maintenance.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean $400 and standard deviation $20.
This means that [tex]\mu = 400, \sigma = 20[/tex]
How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 400}{20}[/tex]
[tex]X - 400 = 20*1.28[/tex]
[tex]X = 425.6[/tex]
$425.6 should be budgeted for weekly repairs and maintenance.
help 0-0-0-0-0-0-0-0-0-0-0-0-0-0
Answer:
(12,0)
Step-by-step explanation:
So whenever you are asked for an "intercept" it is the point where a line crosses the axis. The x intercept is where the line crosses at the x axis (horizontal line on the graph) and the y intercept is where the y axis crosses (vertical axis).
So this question is really asking where is the point when y = 0
The x values in the chart are 5 apart-- 22 +5 = 27, 27+ 5 = 32
The y values are 18 apart --> 36 + 18 = 54, 54+ 18 = 72
Make a little chart where y = 0 (this is where the x crosses) and you can see
there is a point at (17, 18) and then (12, 0) and that point is the x intercept.
Answer:
(12, 0)
Step-by-step explanation:
the x-intercept is the point, where y=0.
so, the second coordinate is therefore 0, no matter what.
now, at what x is that ?
let's find the line function.
a line is
y = a×x + b
let's use the first point (22, 36)
36 = a×22 + b
a = (36 - b)/22
let's use the second point (27, 54)
54 = a×27 + b
now we use the first expression describing a in terms of b and insert that into the second expression.
54 = 27×(36 - b)/22 + b
54×22 = 27×(36 - b) + 22b = 972 - 27b + 22b
1188 = 972 - 5b
216 = -5b
b = -43.2
=>
a = (36 - -43.2)/22 = (36 + 43.2)/22 =79.2/22 = 3.6
our line is
y = 3.6x - 43.2
so, now back to the question, at what x is y=0 ?
0 = 3.6x - 43.2
3.6x = 43.2
x = 12
The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is
unit(s).
The distance in the y-coordinates from A(–2, 2) to the center of dilation F(1, 1) is
unit(s).
The vertex A' of the image is
.
Answer:
X=3
Y=1
Step-by-step explanation:
Vertex A forms dilation F
John bought 8 birds and 6 pigeons for $2400. If he had bought 1 more pigeon and 2 fewer birds, he would have paid $200 more. What is the cost for 1 love bird and 1 pigeon?
Answer: 1 pigeon is $320
1 love bird is $80
Step-by-step explanation:
Let the cost for 1 love bird be represented by x
Let the cost for 1 pigeon be represented by y.
Since John bought 8 birds and 6 pigeons for $2400. This will be:
8x + 6y = 2400 ...... i
If he had bought 1 more pigeon and 2 fewer birds, he would have paid $200 more. This will be:
6x + 7y = 2600 ...... ii
8x + 6y = 2400 ...... i
6x + 7y = 2600 ...... ii
Multiply equation i by 6
Multiply equation ii by 8
48x + 36y = 14400 ...... iii
48x + 56y = 20800 ...... iv
Subtract iii from iv
20y = 6400
y = 6400/20
y = 320
1 pigeon is $320
From equation i
8x + 6y = 2400
8x + 6(320) = 2400
8x + 1920 = 2400
8x = 2400 - 1920
8x = 480
x = 480/8
x = 60
1 love bird is $80
(2x–y)²–(y+2)²-----------
Answer:
4x² -4xy -4y -4
Step-by-step explanation:
[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
In this case, a= 2x -y and b= y +2.
(2x -y)² -(y +2)²
= (2x -y +y +2)[2x -y -(y +2)]
= (2x +2)(2x -y -y -2)
= (2x +2)(2x -2y -2)
= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)
= 4x² -4xy -4x +4x -4y -4
= 4x² -4xy -4y -4
Alternatively, start by expanding the brackets.
[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]
[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]
(2x -y)² -(y +2)²
= 4x² -4xy +y² -(y² +4y +4)
= 4x² -4xy +y² -y² -4y -4 (expand)
= 4x² -4xy -4y -4 (simplify)
Solve for X, Round to the nearest 10th of a degree if necessary 43 87
Answer:
x° ≈ 60.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x°
Adjacent Leg = 43
Hypotenuse = 87
Step 2: Solve for x
Substitute in variables [cosine]: cos(x°) = 43/87Inverse Trig: x° = cos⁻¹(43/87)Evaluate: x° = 60.3795Round: x° ≈ 60.4Give the algebraic expression by using variables and constant and arithmetic operations: i. Sum of the squares of x and y. ii.Product of "x" and "y" subtracted from 9. Pls fast
Answer:
a) x^2 + y^2
b) 9-xy
Step-by-step explanation:
Here, we want to write the algebraic statements as expressions;
a) The sum of the squares of x and y
The square of x is x^2
The square of y is y^2
The sum of the squares is x^2 + y^2
ii) Product of x and y subtracted from 9
The product of x and y is x * y = xy
Subtracting these from 9, we have;
9-xy
I was wondering if anyone could tutor me on another app I haven't been to school since the last last school year and im very behind
Answer:
May I ask what subject you are behind in?
whats 3x+34+23y=
frezz
Answer:
3x+34+23y, You can not add in this equation as there are no like numbers.
Step-by-step explanation:
Answer:
isnt it 60xy
Step-by-step explanation:
Which scenario depicts two independent events?
The school play opens tonight and it is raining.
Neva is hungry and she buys a snack from the concession stand.
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
Luka paints during school and he stains his shirt.
Neva is hungry and she buys a snack from the concession stand event is independent.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.
Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.
The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.
The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.
Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.
To learn more on probability click:
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#SPJ5
Fill in the blanks with the most appropriate words given below.
around, react, too, method, fields, on, plants,
together, is, family, planter, weeds, experience, talking
Ecology is the study of how (1)… ……………………, animals and people live (2)…… ………… and
help each other. But man sometimes forgets he (3) ……..……….. a part of the (4)……………….. of
all living things. Here is an example. A planter is (5)………………. about killing (6)… ……………
on his land. He remembers his first (7)……………….… with a weedicide. He was a (8)
………………….. then, working (9)………..………..a rubber plantation. He had a problem with
weeds. The cost of weeding of the (10)…….…………… by hand was getting (11)………..…………
high. So he used a new, cheap and effective (12)……………………, good old Sodium
Arsenate. He sprayed plenty of this (13)………………………… to kill the weeds. The first thing to
(14)…………………… were the frogs.
Answer:
1. plants
2. together
3. is
4. family
5. talking
6. weeds
7. experience
8. planter
9. on
10. fields
11. too
12. method
13. around
14. react.
Explanation:
The given passage talks about the impact of chemicals on the ecosystem. The speaker narrates how the ecology belongs to plants, animals, and humans, though man seemed intent to destroy it for himself.
The blanks in the given passage are filled with the appropriate words as follows-
Ecology is the study of how (1) plants, animals, and people live (2) together and help each other. But man sometimes forgets he (3) is a part of the (4) family of all living things. Here is an example. A planter is (5) talking about killing (6) weeds on his land. He remembers his first (7) experience with a weedicide. He was a (8) planter then, working (9) on a rubber plantation. He had a problem with weeds. The cost of weeding of the (10) fields by hand was getting (11) too high. So he used a new, cheap, and effective (12) method, good old Sodium Arsenate. He sprayed plenty of this (13) around to kill the weeds. The first thing to (14) react were the frogs.
A carton of orange juice is 9 centimeters long and 24 centimeters tall. If I drink one-third of the fruit juice, what is the volume of the fruit. Juice left in the carton? Give your answer in liters and milliliters.
Step-by-step explanation:
Given that,
The length of a carton, h = 9 cm
Width, b = 13 cm
height, h = 24 cm
I drink one-third of the fruit juice, then two third will be left. So, the volume is :
[tex]V=\dfrac{2}{3}\times lbh\\\\V=\dfrac{2}{3}\times 9\times 24\times 13\\\\V=1872\ cm^3[/tex]
Since, 1 L = 1000 cm³
1872 cm³ = 1.8 L
or
= 1800 mL
Hence, this is the required solution.
The perpendicular room is 4m long, 3m wide and 2.5m high. They tiled and painted the interior walls of the room. How many square meters do they have to paint? Answer only
Answer:
35m^2
Step-by-step explanation:
4×2.5=10 10×2=20
3×2.5=7.5 7.5×2=15
20+15=35
Hope this helps! :)
Need help of this!! Domain and range!!!
Answer:
third one....domain starts negative (-7/3)
and range starts at -5
Step-by-step explanation:
The area for the circle below is
cm2.
Use 3.14 for π and type your answer to the nearest tenth.
r = 5cm
PLEASE HELP
Answer:
a = 78.5 cm²
Step-by-step explanation:
a = πr²
a = 3.14 * 5²
a = 3.14 * 25
a = 78.5 cm²
Jude studied a total of 20.5 hours over a period of 5 days. On average, how many hours did Jude study each day
Answer:
4.1 hours each day
Step-by-step explanation:
20.5 ÷ 5
= 4.1
Therefore 4.1 hours was spent on studying each day.
how to write 0.12 repeating as a fractiom
Answer:
4/33
Step-by-step explanation:
do the normal steps to conversion
One of the numbers below has the same value as 3.5 x 10-3.
1. 35 x 10^4
2. 3.5 x 10^3
3. 0.00035
4. 3500
Answer:
3. 0.00035
Step-by-step explanation:
Find the Area of the shaded region of the circle. Leave answers in terms of Pi. (Image attached). Thank you!!!
Answer:
I've attached the Answer
Answer:
56Pi
Step-by-step explanation:
Area of small circle:
Pi*r^2
25Pi
Area of large circle:
Pi*r^2
81Pi
Area of the 2D doughnut :
Large -small circle = 81Pi-25Pi
A(1,7) B(6,4) and C(5,5) are three points in a plane
1. Find the equations of the perpendicular bisectors of AB and AC
Determine the point of intersection of the perpendicular bisectors in (I)
Answer:
Step-by-step explanation:
Middle point of AB
x(m) = (6+1)/2 = 7/2
y(m) = (7+4)/2 = 11/2
slope of the line that contains AB
(4-7)/(6-1) = -3/5
eqaution of the perpendicular bisector
y-11/2 = 5/3(x-7/2)
y = 5/3x -35/6 + 11/2
y = 5/3x + (-35 + 33)/6
y = 5/3x -1/3
Middle point of AC
x(m) = (1+5)/2 = 3
y(m) = (7+5)/2 = 6
Slope of the line that contains AC
(5-7)/(5-1) = -1/2
equation of the perpendicular bisector
y-6 = 2(x-3)
y = 2x -6 + 6
y = 2x
Point of intersection
y= 5/3x -1/3
y = 2x
2x = 5/3x - 1/3
6x = 5x - 1
x = -1
y = -2
P(-1,-2)
Answer:
(1,7)
Step-by-step explanation:
Given:
A(1,7)
B(6,4)
C(5,5)
Solution:
Mid point of AB = M((1+6)/2,(7+4)/2) = M(3.5,5.5)
Slope of AB = (4-7)/(6-1) = -3/5
Perpendicular bisector of AB:
L1: y - 11/2 = -(3/5)(x-7/2) ............(1)
Mid point of AC, m= N((1+5)/2,(7+5)/2) = N(3,6)
Slope of AC, n = (5-7)/(5-1) = -2/4 = -1/2
perpendicular bisector of AC:
L2: y-6 = -(1/2)(x-3) ..........."(2)
To find the point of intersection,
(1)-(2)
-5.5 - (-6) = -(3/5)x +12/5 + x/2 - 3/2
1/2 = -x/10 + 6/10
x/10 = 1/10
x = 1
substitute x in (1)
y = 3/2+11/2 =7
Therefore Point of intersection is (1,7)
A bicycle has a cash price of $319.95. It can be bought on hire purchase with a deposit of $69 and ten monthly installments of $28.50 each.
a. what is the total hire purchase price of the bicycle?
b. Find the difference between the hire purchase price and the cost price of the bicycle.
Answer:
a. $354
b.$34.05p
Step-by-step explanation:
10 monthly instalments
10x28.5=280
plus the deposit 280+69=354
The difference between 354 and 319.95 is 34.05
a. The total hire purchase price of the bicycle is $354.
b. The difference between the hire purchase price and the cost price of the bicycle is $34.05.
a. Total hire purchase price:Total hire purchase price=(10 months×$28.5)+$69
Total hire purchase price=$285+$69
Total hire purchase price=$354
b. Hire purchase price and cost price:Difference=$354-$319.95
Difference=$34.05
Inconclusion the total hire purchase price of the bicycle is $354 and the difference between the hire purchase price and the cost price of the bicycle is $34.05.
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can you plz answer plz!?
Answer:
1. mode
2. median, mode, mode interval
3. stem and leaf graph
4. not sure (try using a median calculator)
5. 80 or 90 (not exactly sure)
Step-by-step explanation:
Amy is 9 years older than her younger sister. if her younger sister is now 1 year old, how many years later will Amy be 4 times as old as her younger sister?
☆Amy is 9 years older than her younger sister.
[tex]\\ \sf\longmapsto Age\:of\:Amy=1+9=10years[/tex]
Let after x years Amy will be 4times old as her sister.
ATQ
[tex]\\ \sf\longmapsto \dfrac{1+x}{9+x}=\dfrac{1}{4}[/tex]
Using cross multiplication[tex]\\ \sf\longmapsto 4(1+x)=1(9+x)[/tex]
[tex]\\ \sf\longmapsto 4+4x=9+x[/tex]
[tex]\\ \sf\longmapsto 4x-x=9-4[/tex]
[tex]\\ \sf\longmapsto 3x=5[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{5}{3}[/tex]
[tex]\\ \sf\longmapsto x=1.6[/tex]
[tex]\\ \sf\longmapsto x=2(approx)[/tex]
A Rectangle is formed by placing two identical squares side-by-side the area of the rectangle is two cm². What is the perimeter of one square
Answer:
4cm
Step-by-step explanation:
first find the length of the side of one square
the length of the rectangle will be twice the width
let y represent the width
area of a rectangle=length x width
2cm²=2yxy
2cm²=2y²
2cm²/2=2y²/2
1cm²=y²
1√cm²=√y²
1cm=y
perimeter of a square=4xside
4x1cm
4cm
can someone help me please
Answer:
8. B
9. B
Step-by-step explanation:
add all sides to get perimeter
multiply sections of the area to get area (length times width)
help please asap just the answers
please help!!!!
On a certain hot summer's day, 554 people used the public swimming pool. The
daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1097.00.
How many children and how many adults swam at the public pool that day?
Answer:
Children= 384 Adults= 170
Step-by-step explanation:
First, write a system of algebraic equations:
[tex]1.75x+2.50y=1097[/tex]
[tex]x+y=554[/tex]
Second, use linear combination to eliminate one variable (I will eliminate x, or children.)
[tex]1.75x+2.50y=1097[/tex]
[tex]-1.75(x+y=554)[/tex]
[tex]1.75x+2.50y=1097[/tex]
[tex]-1.75x+-1.75y=-969.5[/tex]
[tex]0.75y=127.5[/tex]
Divide both sides by 0.75
[tex]0.75y=127.5[/tex]
[tex]/0.75[/tex] [tex]/0.75[/tex]
[tex]y=170[/tex], there are 170 adults
Now, plug in 170 for [tex]x+y=554[/tex]
[tex]x+170=554[/tex]
Subtract 170 from both sides
[tex]x+170=554[/tex]
[tex]-170[/tex] [tex]-170[/tex]
[tex]x=384[/tex], there are 384 kids.
Hope this helps!!!
Answer:
384 children and 170 adults
Step-by-step explanation:
if x is children and y is adults
1.75x+2.5y=1097
x+y=554
1.75x=1097-2.5y
x=554-y
1.75x=1097-2.5y
1.75x=1.75(554-y)
1097-2.5y=969.5-1.75y
1097-969.5=2.5y-1.75y
127.5=0.75y
127.5/0.75=y
170=y
x+y=554
x=554-y
x=554-170
x=384
to prove these are correct just do 1.75(384)+2.5(170) and see if it equals 1097, and do 384+170 to see if its the amount of people
1.75(384)+2.5(170)
672+425
1097
384+170=554