The correct definition of an angle is D: A shape formed by two intersecting lines from a common point.
What is a line segment?A line segment is extended infinitely in both directions whereas a 'ray' is a line segment that has one endpoint and extends infinitely in the other direction.
Now, an 'angle' is formed by two rays having a common end-point.
As the angle has a common endpoint,
Therefore it is not possible to form an angle by intersecting two rays having different endpoints.
Hence, option D is correct.
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P is a polynomial of degree 4 with three zeros: -1 and 2 are zeros of multiplicity one, and 3 is a zero with multiplicity two. If P(0) = 90, what is the lead coefficient of P ?
Answer:
[tex]P(x) = (x+1)(x-2)(x-3)^2 + 108[/tex]
Step-by-step explanation:
let me know if you want an explanation
(c) Nicole has a part-time job entering data in a computer. Her pay at the end of the week C
is affected by the amount of data she enters each hour. What is the dependent
variable?
Answer:
the dependent variable is the data because it's the one that changes
Someone do this please, ty.
5 is the missing value.
Step-by-step explanation:
12x = 60
x = 60/12
x = 5
Answer:
[tex]\boxed{\rm x = 5}[/tex]
Step-by-step explanation:
[tex] \rm \cfrac{12}{20} = \cfrac{3}{x} [/tex]
Find the missing value.
Solution with work shown:
Use criss-cross multiplication:
[tex]12 \times x = 3 \times 20[/tex][tex]12x = 60[/tex]Divide both sides by 12:
[tex] \cfrac{12x}{12} = \cfrac{60}{12} [/tex][tex]x = 5[/tex]Hence,the missing value is 5.
Determine the domain of (g ∘ f)(x) if f (x) = x2 + x − 3 and g of x is equal to 1 over the quantity x plus 1 end quantity period {x ∈ ℝ| x ≠ −1} {x ∈ ℝ| x ≠ −2, 1} {x ∈ ℝ| x ≠ −2, −1, 1} {x ∈ ℝ}
The domain of gof(x) is {x ∈ ℝ| x ≠ −2, 1} .
What is domain?The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
given function:
f(x) = x² + x -3
g(x) = 1/x+1
Now, solving the equation
gof = g(f(x))
=g( x² + x -3)
=1/(x² + x -3)+1
=1/ x² + x -2
= 1/ x² +2x - x -2
= 1/ x( x+ 2) - (x +2)
=1/ (x+2)(x-1)
Hence, the domain of gof(x) is {x ∈ ℝ| x ≠ −2, 1} .
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How can the logarithmic expression be rewritten?
Select True or False for each statement.
Answer:
True, True, False
Step-by-step explanation:
In the following month 10% savings on other costs are expected. What is the total other costs target for next month for the five locations
Answer:
The given question is incomplete. The graphs for the question are attached below.
Total savings on other costs expected in the following month is 13,950.
Total other costs targeted for next month for the five locations:
Washington Place = 14,850
Lincoln Square = 9,900
Millienium Concourse = 18,000
The old mill = 13,500
CWG Tenton = 0
Step-by-step explanation:
According to the graphs, there are two parts to this question
1. In the following month, 10% savings on other costs are expected.
The graph is attached below for reference
10% savings on other costs are expected in the following month:
=> (4,000 + 2,000 + 5,000 + 2,000 + 2,500) * (1-10%)
=> 15,500 * [tex](1-\frac{10}{100})[/tex]
=> 15,500 * [tex]\frac{90}{100}[/tex]
=> 13,950
Total savings on other costs expected in the following month is 13,950
2. Total other costs target for next month for the five locations are:
Washington Place = 6,000+3,000+3,500+ 4,000 = 16,500 * 0.9 = 14,850
Lincoln Square = 5,000+ 2,000+ 2,000+2,000= 11,000 * 0.9 = 9,900
Millienium Concourse =7,000+3,000+5,000+5,000= 20,000 * 0.9 = => 18,000
The old mill = 6,000+ 5,000+ 4,000=15,000 * 0.9 = 13,500
CWG Tenton = 0 * 0.9 = 0
Total other costs target for next month for the five locations:
Washington Place = 14,850
Lincoin Square = 9,900
Millienium Concourse = 18,000
The old mill = 13,500
CWG Tenton = 0
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Select the solution(s) of the original equation.
0 x = √√√2
x = 1
X=1
x = -1
0 *=-√√2
X = -1
DONE ✔
0000
Answer:
the first,second,forth and fifth.
Step-by-step explanation:
I got it off of edg.
Consider the given density curve.
A density curve is at y = StartFraction 1 Over 8 EndFraction and goes from negative 10 to negative 2.
What is the value of the median?
–10
–7
–6
–2
Picture posted below…
Answer: -6
Step-by-step explanation:
[tex]\frac{-10-2}{2}=\boxed{-6}[/tex]
The Median of the density is -6.
An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).
It is clearly visible from the uniform density curve given in the question that the median of the population density is -6.
Because the area to the left and right of the density curve is the same.
Hence, the Median of density is -6.
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The number 900 is increased by 20% and then decreased by 20%. Find the new number.(the ans is 864 apparently:/ I need steps)
Step-by-step explanation:
if 900 is increased by 20% then
120/100×900=1080
Decreasing it by 20% then
80/100×1080=864
What is the inverse of f(x)=9x-3
Answer:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x9+13 f - 1 ( x ) = x 9 + 1 3 is the inverse of f(x)=9x−3 f ( x ) = 9 x - 3
Answer:
y = x + 3/9
Step-by-step explanation:
Change f(x) y = 9x-3Solve for y +3 +3
x+3 = 9y = y=x+3/9
Sketch 0 = 11π/6 in standard position
Answer:
cuantos billetes de 100.son en .100000?
A line passes through (-9,-6) and has an undefined slope. Write an equation of the line satisfying the given conditions.
A. x= -9
B. y= -9
C. y= -6
D. x= -6
The equation of the line is x = -9 , Option is the correct answer
What is the equation of a line ?The equation of a line is given by y = mx+c
where m is the slope and c is the intercept
It is given that
A line passes through (-9,-6) and has an undefined slope.
undefined slope means it is a vertical line at -9
Therefore the equation of the line is x = -9 , Option is the correct answer
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The surface area of a cone is 250 square centimeters. The height of the cone is double the length of its radius.
What is the height of the cone to the nearest centimeter?
A.
10 centimeters
B.
20 centimeters
C.
15 centimeters
D.
5 centimeters
Answer: C
Step-by-step explanation:
just took it
The height of the cone to the nearest centimetre is 10 centimetres. Therefore, option A is the correct answer.
Given that, the surface area of a cone is 250 square centimetres. The height of the cone is double the length of its radius.
We need to find what is the height of the cone to the nearest centimetre.
What is the surface area of a cone?The area occupied by the surface/boundary of a cone is known as the surface area of a cone. It is always measured in square units. Stacking many triangles and rotating them around an axis gives the shape of a cone. As it has a flat base, thus it has a total surface area as well as a curved surface area.
If the radius of the base of the cone is "r" and the slant height of the cone is "l", the surface area of a cone is given as total surface area, T = πr(r + l) square units
Now, let the radius of a cone be x.
Then the height of the cone is 2x.
Slant height=√x²+4x²
=√5x
So, the surface area of cone=πx(x+2.24x)
⇒250=3.14 × 3.24x²
⇒x²=24.57
⇒x=4.95≈5 centimetre
So, height=2x=10 centimetre
The height of the cone to the nearest centimetre is 10 centimetres. Therefore, option A is the correct answer.
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What expression is equivalent to ten square root five
The expression 10√5 can be written as √500 because √(10×10) = 10 option (A) √500 is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
= 10√5
We can write the above equation:
= √(10×10×5)
Because √(10×10) = 10
= √(100×5)
= √500
Thus, the expression 10√5 can be written as √500 because √(10×10) = 10 option (A) √500 is correct.
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Sum of 1/2*3 +1/3*4 +1/4*5 ..1/99*100
Answer:
11∗2+13∗4+15∗6+⋯+199∗100=?
=(1−12)+(13−14)+(15−16)+⋯+(199−1100)
=(1+13+15+17+⋯+199)−(12+14+16+⋯+1100)
=(1+13+15+17+⋯+199)−12(1+12+13+⋯+150)
=∑k=15012k−1−∑k=15012k
Continue further.
A merchant has 120 liters of oil of one kind, 180 liters of another kind, and 240
liters of the third kind. He wants to sell the oil by filling the three kinds of equal
capacity. What should be the greatest capacity of such a tin?
The merchant needs to fill 60 litres of all types of oils .
What is HCF ?
HCF is the highest common factor, it is the factor in common in more than two numbers.
It is given in the question that
A merchant has 120 litres of oil of one kind, 180 litres of another kind, and 240 litres of the third kind.
He wants to sell the oil by filling the three kinds of equal capacity.
To find the greatest capacity of such a tin , we have to find the highest common factor of the individual capacity.
120=2×2×2×3×5
180=2×2×3×3×5
240=2×2×2×2×3×5
HCF=2×2×3×5=60
The greatest capacity = 60 litres
So the merchant needs to fill 60 litres of all types of oils .
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Mr. Tan, a manufacturer who produces
more medium-sized shirts than either
large-sized or small-sized T-shirts,
bases his decision on?
O A. Instinct
O B. Mean
O C. Median
O D. Mode
Mr. Tan bases his decision on the mode, which indicates that he produces more medium-sized shirts than either large-sized or small-sized T-shirts. The correct answer is option D: Mode.
To determine whether Mr. Tan bases his decision on instinct, mean, median, or mode, we need to consider the given information that Mr. Tan produces more medium-sized shirts than either large-sized or small-sized T-shirts.
Instinct refers to a natural or intuitive decision-making process that is not based on specific calculations or statistical measures. While Mr. Tan's decision-making process could involve some level of instinct, it is unlikely to be the primary basis for his decision.
The mean is the average value calculated by summing up all the values and dividing by the total number of values. However, the mean does not provide any information about the distribution of the sizes or the fact that Mr. Tan produces more medium-sized shirts.
The median is the middle value when the data is arranged in ascending or descending order. However, we do not have any information about specific values or the distribution of sizes, so we cannot determine the median.
The mode refers to the value or values that appear most frequently in a set of data. Since Mr. Tan produces more medium-sized shirts than either large-sized or small-sized T-shirts, it implies that medium-sized shirts are the mode in his production. This suggests that Mr. Tan's decision is based on the mode, as he produces more shirts of this size than any other size.
Therefore, based on the given information, it can be inferred that Mr. Tan bases his decision on the mode, which indicates that he produces more medium-sized shirts than either large-sized or small-sized T-shirts. The correct answer is option D: Mode.
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Based on the graph of g(x), on which intervals
are the function's values negative? Select all that
applv.
Answer:
[tex]\text{B}) \text{ } -3 < x < -1\\\text{D}) \text{ } 2 < x < \infty[/tex]
Step-by-step explanation:
The graph lies below the x-axis.
Match each equation below with its solution(s).
1. x² =4
2.x² = -4
3.x² +2=0
4.x²-2=0
5.x² = -18
6.x²=18
8.x+2=0
7.x-2=0
+2i +3i√√2 +√√2 2 ±2 -2 ±i√√2 +3√√2
Drag each solution above to the matching equation below.
1.
2.
3.
4.
5.
6.
7.
8.
[tex]1) \pm 2 \\\\2) \pm 2i\\\\3) \pm i\sqrt{2}\\\\4) \pm \sqrt{2}\\\\5) \pm 3i\sqrt{2}\\\\6) \pm 3\sqrt{2}\\\\7) 2\\\\8) -2[/tex]
4. In 2010, the amount in Raja's account was 40 Lakhs. He debited 8000 in 2011, and in 2012, he debited 2,07,000. In 2013, he credited 1,16,000, and in 2014 he credited 12,000. How much more he has to credit to be worth what it was at at the start of 2010
Answer:
don't know is is mathematics or any other subject
Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)
2. Jay Smith deposited $5,000 into an annuity due at the beginning of each quarter for 3 years at 6%
compounded quarterly.
Answer:
value: $66,184.15interest: $6,184.15Step-by-step explanation:
The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.
__
formulaThe formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...
FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)
FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148
FV ≈ 66,184.15
calculatorThe attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.
__
a)The future value of the annuity due is $66,184.15.
b)The total interest earned is the difference between the total of deposits and the future value:
$66,184.15 -(12)(5000) = 6,184.15
A total of $6,184.15 in interest was earned by the annuity.
This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!
Step-by-step explanation:
[tex]29 {}^{ \frac{x}{2} } [/tex]
[tex]((29) {}^{ \frac{1}{2} } ) {}^{x} [/tex]
The answer is A
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
A and B
Step-by-step explanation:
Vertical angles are angles that are opposite of each other on two crossing lines.
They have equal angle measure.
When we look at the image, we can tell that, from the given options:
A. <LRA and <FRA and
B. <TRF and <NRL are vertical angles.
what are the solutions in the following equations?
Answer: (0, -6) and (1, -5)
Step-by-step explanation:
If [tex]x-y=6[/tex], then [tex]y=x-6[/tex]. Substituting this into the second equation,
[tex]x-6=x^{2}-6\\\\x^{2}-x=0\\\\x(x-1)=0\\\\x=0, 1[/tex]
If x=0, y=-6.
If x=1, y=-5.
So, the solutions are (0, -6) and (1, -5)
Given the functions, fx) = 3x-6 and g(x)= x² + 5x+7, perform the indicated operation. When applicable, state the
domain restriction.
f(g(x))
Hope this helps
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
I did this already
9 is subtracted from 3 times the sum of 4 and 2.
Answer:
9
Step-by-step explanation:
This problem is represented below.
=3(4+2)-9
=3(6)-9
=18-9
=9
Another job is advertising leaflets printed on sheets of A4 paper (210 x 297 mm).
The sheets are then folded into thirds as shown.
What are the measurements in millimetres of each folded leaflet?
5%3×4+14-15 answers thes questions
little melinda has nickels and quarters in her bank she has 8 fewer than nickels she has 5.60 in the bank how many coins of each type does she have
Answer:
She has 20 coins in her bank, where she has 12 nickels and 8 quarters
Step-by-step explanation:
A quarter is 25 centsA nickel is 5 centsSince she has 8 fewer than nickels, we add 8 to the number of nickelsQ = N + 8, 25Q + 5N = 560
25(N + 8) + 5N = 560
25N + 200 + 5N = 560
25N + 200 - 200 + 5N = 560 - 200
30N = 360
30N / 30 = 360 / 30
N = 12 nickels
Finding amount of Quarters:
Q = N + 8 → Q = 12 + 8
Q = 20 quarters
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Need help finding the quadratic function...15 pts for your help
The function is [tex]y = (x +2)^2 + 5.[/tex]
we use the vertex form of the quadratic equation
We have given a graph,
What is the vertex form of the quadratic equation?y = a(x - h)^2 + k.
Therefore the vertex of the given graph is
See the vertex at (-2, 5)
Since the general way to write the vertex is (h, k), we compare (h, k) to (-2, 5).
[tex]y = a(x - (-2))^2 + 5.\\y=a(x+2)^2+5......(1)[/tex]
Now we have given that (-4,1) use this value in the above equation so we get,
[tex](1)=a(-4+2)^2+5[/tex]
[tex]1=a(-2)^2+5[/tex]
[tex]1=4a+5[/tex]
[tex]1-5=4a[/tex]
[tex]-4=4a[/tex]
[tex]a=-4/4[/tex]
[tex]a=-1[/tex]
Using the value of an in equation (1) we get,
Therefore the function is [tex]y = (x +2)^2 + 5.[/tex]
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Your Uncle Malcolm has a honeybee colony that consists of a single queen, hundreds of male drones and roughly 60,000 female worker bees. His beehive produced 200
pounds of honey last year. If Uncle Malcolm continues beekeeping with the same
number of bees, how many pounds of honey will his hive produce after 10 years? Write
your answer in scientific notation.
In scientific Notation , After 10 years he will have in total 2 x 10 ³ pounds.
What is Scientific Notation ?Scientific Notation is a way of writing very large or small quantities.
It is written in the form of x 10ˣ
It is given that
The colony of bees has a single queen, hundreds of male drones and roughly 60,000 female worker bees.
The quantity of honey produced is 200 pounds.
After 10 years he will have in total
200 * 10 = 2000 pounds
In scientific Notation it will be written as
2 x 10 ³ pounds.
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