Step-by-step explanation:
P(x,y)=(1,-3)
line is perpendicular to x=2 which shows that line is parallel to x-axis.
angle=0°
m=tan(angle)
m=tan0°
m=0
By using point slope form:
y+3=0(x-1)
y+3=0
Note:if you need to ask any question please let me know.Select the matrix multiplication that transforms vector A to
vector B
Answer:
Option C.
Step-by-step explanation:
Notice that only option B and C involves the vectors in transformation
[tex]A=\begin{bmatrix}4\\2\end{bmatrix}, B=\begin{bmatrix}-8\\-4\end{bmatrix}[/tex]
However, option B is not a defined multification since the dimension of both matrices are not matching. Vector A is 2x1 but the second matrix is 2x2.
Given that ZZ -- LX, M2W = x + 3, and m_Y = 2%-13)
3, find the value of x for which WXYZ must be a parallelogram.
9514 1404 393
Answer:
(c) 16
Step-by-step explanation:
The figure will be a parallelogram when opposite angles are congruent. We already know X and Z are congruent, so we need to find x so that W = Y.
x +3 = 2x -13
16 = x . . . . . . . . . . add 13-x to both sides
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such
as p rinting). There are two production methods it could use. With one method, the one-time fixed costs will total $16,465, and the variable costs will be $20.50
per book. With the other method, the one-time fixed costs will total $37.815, and the variable costs will be $11.75 per book. For how many books produced will
the costs from the two methods be the same?
9514 1404 393
Answer:
2440
Step-by-step explanation:
The difference in fixed costs is ...
37815 -16465 = 21350
The difference in variable costs is ...
20.50 -11.75 = 8.75 . . . . per book
Then the number of books that must be produced for the difference in variable costs to be equal to the difference in fixed costs is ...
21350/8.75 = 2440
For production of 2440 books, the costs of the two methods will be the same.
_____
Additional comment
You can write expressions for total cost of each production method. When you set them equal and solve for the number of books, you find the math you end up doing is the same as that shown above.
The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard deviation 0.009kg. If a random sample of 1800 eggs are sold, how many would you expect to have mass; (i)Less than 0.052 kg (standard size). (ii)Between 0.052 kg and 0.075kg (medium size).(iii)Greater than 0.075 kg (large size).
(b)If the cost of producing an egg in (a) is Gh¢0.45 and selling price of each standard, medium and large size eggs are Gh¢0.60, Gh¢0.80, and Gh¢0.95 respectively, calculate (i)The expected profit to be made from selling the standard size, medium size and large size eggs. (ii)The overall profit.
a (i) The number of standard size is 288 eggs
a (ii) The number of medium size is 1,476 eggs
a (iii) The number of large size is 36 eggs
b (i) The expected profit made from selling the standard size is Gh¢43.2
b (ii) The expected profit made from selling the medium size is Gh¢516.6
b (iii) The expected profit made from selling the large size is Gh¢16.2
The given parameters:
the mean of the distribution, m = 0.06 kg
standard deviation (std) of the distribution, d = 0.009 kg
number of the samples, n = 1800 eggs
(i) Find the position of "less than 0.052 kg (standard size)":
1 standard deviation below the mean = m - d m - d = 0.06 kg - 0.009 kg = 0.051 kg(the standard size is 1 standard deviation below the mean)
less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samplesNumber of standard size = 0.16 x 1800 = 288 eggs(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":
0.052 kg is 1 standard deviation below the mean2 standard deviation above the mean = m + 2dm + 2d = 0.06 + 2(0.009) = 0.078 kg(the medium size is between 1 std below the mean and 2 std above the mean)
Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%Number of medium size = 0.82 x 1800 = 1,476 eggs(iii) Find the position of "Greater than 0.075 kg (large size)":
0.078 kg is 2 standard deviation below the meangreater than 2 std above the mean in a normal distribution = 2 % of the data samples Number of large size = 0.02 x 1800 = 36 eggsCheck: 288 eggs + 1476 eggs + 36 eggs = 1,800 eggs
(b) the cost of production of an egg = Gh¢0.45
the selling price of the standard size = Gh¢0.60
the selling price of the medium size = Gh¢0.80
the selling price of the large size = Gh¢0.95
(i) The expected profit made from selling the standard size:
Profit = total revenue - cost of production
Profit = 288(0.6) - 288(0.45) = Gh¢43.2
(ii) The expected profit made from selling the medium size:
Profit = total revenue - cost of production
Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6
(iii) The expected profit made from selling the large size:
Profit = total revenue - cost of production
Profit = 36(0.9) - 36(0.45) = Gh¢16.2
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Please urgent
please solve
Answer:
1
Step-by-step explanation:
steps are in picture.Ignore hand writing
Consider this expression.
m^2+ n^2
When m
-5 and n =
3, the value of the expression is
Step-by-step explanation:
m^2+ n^2 = (-5)² + 3² = 25+9 = 34
Answer:
34
Step-by-step explanation:
Edmentum/Plato
6 divided by 2 times in brackets 1 plus 2
Work this out please.
Answer:
9
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
Given worded expression
6 divided by 2 times in brackets 1 plus 2
Convert wordings to numerical expression
6 ÷ 2 × (1 + 2)
Simplify value in parentheses/brackets
=6 ÷ 2 × 3
Simplify by division
=3 × 4
Simplify by multiplication
=[tex]\boxed{12}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
2) There's 5 blue, 2 orange, and 7 green
candy's in a bag, What's the probability of
picking an orange not replacing and then
picking a green?
Sayyida has a circular garden of radius 21m. She ran round the garden twice. what distance did she cover?
answer
C = 263.76 m
Step-by-step explanation:
C = 2×pi×r
C = 2×3.14×21
C = 131.88 m
For 2 rounds,
C = 131.88 x 2
C = 263.76 m
How do I find the size of CDO AND AOD
Answer:
you can use a protector for finding the angles and a ruler finding the length of the lines
Answer:
CDO=26cm
AOD=32cm
Step-by-step explanation:
Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?
Answer:
in 1year =4.25%in 5year=xthen 1=4.25%5=x then cross x=4.25%*5=21.25%Answer:
$765
Step-by-step explanation:
If an amount of money, P, called the principal, is invested for a period of t years at an annual interest rate r, the amount of interest, I, earned is given by
I =Prt where
I =interest
P =principal
r =rate
t =time
The following information is given.
Prt=$3,600=4.25%=5 years
Substituting the given information into the simple interest formula and solving for I gives
I =Prt
I =(3,600)(0.0425)(5)
=765
The amount of interest Kelsey earned in 5 years was $765.
Help please!!! I’m having trouble and don’t know how to word any of this or what to do!
Answer:
Multiply 7*3
.
5
x√x21
your answer is 5x in square root power of 21
Find the cube of (x+y) 3
Answer:
cube +27x+27
Hope it is helpfull
Answer:
[tex]x^3+y^3[/tex]
Step-by-step explanation:
[tex]I[/tex] [tex]hope[/tex] [tex]this[/tex] [tex]helped[/tex] [tex]you![/tex]
-[tex]RoseCordelia[/tex]
Sam baked an equal number of sausage buns and
custard buns. During the day, 68 sausage buns were
sold. Sam also baked another 27 custard buns to meet a last-minute
order. At the end of the day, Sam had baked 6 times as many custard
buns as the number of sausage buns remaining. How many sausage
buns did Sam bake at first?
Answer:
87
Step-by-step explanation:
number of sausage buns = s
number of custard buns = c
at the start of the day, s = c
at the end of the day
c+27=6(s-68)
since c = s,
s+27=6(s-68)
s+27=6s-408
-5s = -435
s=87
Let us represent:
The number of sausages baked at first = s
The number of custard buns baked at first = c
During the day, 68 sausage buns were sold. This can be expressed using algebraic equations as:s - 68
Sam also baked another 27 custard buns to meet a last-minute order. This can be expressed using algebra as:c + 27
At the end of the day, Sam had baked 6 times as many custard buns as the number of sausage buns remaining.Hence:
c + 27 = 6 (s - 68)
c + 27 = 6s - 408
Note: Sam baked an equal number of sausage buns and custard buns. This means:c = s
Hence,
c + 27 = 6s - 408
s + 27 = 6s - 408
Collect like terms
408 + 27 = 6s - s
435 = 5s
Divide both sides by 5
435/5 = 5s/5
s = 87
Therefore, the number of sausage buns Sam baked at first is 87 sausage buns.
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Answer with Solution
Answer with Solution
Answer with Solution
Answer with Solution
Answer with Solution
Answer:
-5
Step-by-step explanation:
-3x + 7 < 11
-3(-5) + 7 < 11
Multiplying two negatives together, makes a positive number.
15 + 7 < 11
22 < 11
22 less than 11 is false, therefore -5 is the correct answer.
The correct answer is 4
Here's the Solution:
- 3x + 7 ‹ 11Transpose 7 to the right side
- 3x ‹ 11 - 7Now subtract 11 and 7
- 3x ‹ 4HOPE THIS HELPS. GOODLUCK:)
compare and explain.
What would be the most logical first step for solving this quadratic equation?
x2 + 2x + 13 = -8
A. Divide both sides by x
B. Take the square root of both sides
Ο Ο
C. Add 8 to both sides
D. Subtract 13 from both sides
Answer:
C. Add 8 to both sides
Step-by-step explanation:
This is done in order to equate the equation to zero so that it relates to the general equation.
[tex] {ax}^{2} + bx + c = 0[/tex]
c is (13 + 8)
A TV station has 11 minutes of commercials for each 60 minutes of air time. What percent
of air time is used for commercials?
Answer: Approximately 18.33%
Work Shown:
11/60 = 0.1833 approximately
This decimal converts to 18.33% when moving the decimal point over to the right two spots. Round this value however you need to.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used Match each value to the correct expression 8, 22, 27 ,5, 15 ,0
Step-by-step explanation:
1. 27
2. 15
3. 22
James had a peach that was 98 \text{ mm}98 mm98, start text, space, m, m, end text in diameter. One day he watered it with a magical solution, and it grew to 188{,}869 \text{ mm}188,869 mm188, comma, 869, start text, space, m, m, end text in diameter.
Approximately how many times as large did the diameter of the peach become after James watered it?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
2 \cdot10^32⋅10
3
2, dot, 10, cubed
(Choice B)
B
9 \cdot10^39⋅10
3
9, dot, 10, cubed
(Choice C)
C
2 \cdot10^42⋅10
4
2, dot, 10, start superscript, 4, end superscript
(Choice D)
D
9 \cdot10^49⋅10
4
9, dot, 10, start superscript, 4, end superscript
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Answer:
A. 2×10³
Step-by-step explanation:
The ratio of diameters is ...
(189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³
The diameter of the peach became about 2×10³ times as large.
I don’t get it please help me out
Answer:
Step-by-step explanation:
1
When the slope is positive, the graph goes from the lower left to the upper right.
Suppose the graph is y = 0.8x + 2. See the inserted graph to see what happens. See the first graph downloaded to see what the above sentence means. The graph is in red.
2
when b>0 the y intercept is above the x axis. The second graph is y = x + 5. It is in blue. The red graph is the same one as the one above.
Sorry, I'm only allowed 1 download. But the red line is for part 1 and the blue line is for part 2.
I am a 2 digit number.I have six in the one place.I am less than 24.What number am I talking about?
Answer:
16
Step-by-step explanation:
The digit '6' is in the ones place.
It is a 2 digit number so the number is between 10 and 24.
=> 16
Need help solving theses
from information find out measure of angle ABF
Answer:
if 9x = 180 degree
Step-by-step explanation:
one x equal to 20 degree
and if 3x= 60 degree the ? = 120 degree
Answer:
∠ ABF = 120°
Step-by-step explanation:
HCI is a straight line , so
3x + 2x + 4x = 180 , that is
9x = 180 ( divide both sides by 9 )
x = 20
∠ ABF and ∠ BCI are corresponding angles and are congruent , so
∠ ABF = 2x + 4x = 6x = 6(20) = 120°
Review the following problem and answer the questions that follow.
Problem: 23 - (-2)
Answer: 21
1) Where did I make the mistake?
2) What suggestion would you give me to avoid making that same mistake in the
future?
you forgot the main part!
the correct answer is 25
.
your sign will be + not - because when you multiply two negative signs It will be positive
If my weekly income was to increase by 15% next year.
How much would I be earning in a week then? (was $750 a week)
Answer:
862.50
Step-by-step explanation:
First find the amount of increase
750 * 15%
750 *.15
112.50
Add this to the original amount
750+112.50
862.50
Solve for v.
V
4
9
12
Simplify your answer as much as possible.
Answer:
V = 3.
Step-by-step explanation:
(I'll try.)
v/9 = 4/12
you cancel the common factor which is four.
next, you multiple both sides by nine, which make:
9v
_ = 1 , 9
_____
9 3
,,
and I guess you simplify it, and then it becomes V = 3.
I suck at explaining, so you'll just have to trust me by word.
Natalie reads an average of 205 minutes a week. A year has 52 weeks.
How many minutes does Natalie read in a year?
Multiply weeks by minutes per week:
52 x 205 = 10,660 total minutes per year
Work Shown:
205 minutes: 1 week
52*(205 minutes) : 52*(1 week)
10660 minutes : 52 weeks
10660 minutes : 1 year
you are given numbers, {30 + n, n/3, square root n+16}. Find the smallest value of n so that all of the numbers in the set are natural numbers.
========================================================
Explanation:
Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get
30+n = 30+0 = 30n/3 = 0/3 = 0sqrt(n+16) = sqrt(0+16) = 4The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.
So we can't use n = 0.
Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.
If n = 9, then,
30+n = 30+9 = 39n/3 = 9/3 = 3sqrt(n+16) = sqrt(9+16) = 5We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.
The smallest value of n = 9 is that all of the numbers in the set are natural numbers in {30 + n, n/3, √(n+16)}.
What are Natural Numbers?Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Assume n is not negative for the whole number. Using n = 0, the smallest nonnegative value, we obtain
30 + n = 30 + 0 = 30
n/3 = 0/3 = 0
√(n+16) = √(0+16) = 4
In the middle result, 0, there is no natural number. The set of positive whole numbers starting with {1, 2, 3, 4, ..} is known as the natural numbers.
Therefore, n = 0 is not a possibility.
We have to determine by trial and error that n = 9 is the next possible value we may test such that √(n+16) is a natural number and so is n/3.
If n = 9, then,
30 + n = 30 + 9 = 39
n/3 = 9/3 = 3
√(n+16) = √(9+16) = 5
The middle result, which is now greater than 0, is a natural number, as can be shown. The final outcome also corresponds to this description.
Thus, the smallest value of n = 9 is that all of the numbers in the set are natural numbers.
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Please anyone assist me solve those two mathematics questions.
Answer:
1) The polar form of that equation will be r= √5cos(2θ)
2) i am stuck on this one (sorry)
Step-by-step explanation:
(i) We know that [tex]x = r\cos{\theta}\:\text{and}\:y = r\sin{\theta}.[/tex] So we can write the given equation as
[tex]r^2\cos^2\theta - r^2\sin^2\theta = 5[/tex]
[tex]\Rightarrow r^2(\cos^2\theta - \sin^2\theta) = 5[/tex]
[tex]r^2 = \dfrac{5}{(\cos^2\theta - \sin^2\theta)}[/tex]
[tex]\:\:\:\:\:=\dfrac{5}{\cos{2\theta}} = 5\sec{2\theta}[/tex]
(ii) Recall that
[tex]\cot{\theta} = \dfrac{\cos{\theta}}{\sin{\theta}}[/tex]
[tex]\csc{\theta} = \dfrac{1}{\sin{\theta}}[/tex]
so we can write r as
[tex]r = 8\cot{\theta}\csc{\theta}[/tex]
[tex]\:\:\:\:= 8\left(\dfrac{\cos{\theta}}{\sin{\theta}}\right)\left(\dfrac{1}{\sin{\theta}}\right)[/tex]
[tex]\:\:\:\:= 8\left(\dfrac{x}{y}\right)\!\left(\dfrac{r}{y}\right) = \dfrac{8xr}{y^2}[/tex]
Upon simplification, we get
[tex]y^2 = 8x[/tex]