Answer:
Option C
Step-by-step explanation:
Options A, B, C, and D all satisfy the base case of V(0) = 10; however, they also all fail the next step case of V(4) = 452.
A at t = 4, results in 163047.361
B at t = 4, results in 1770
C at t = 4, results in 450 (close but not 452)
D at t = 4, results in 41740124.42
Note that at option C, we had the closet value 450 which is only 2 from 452 whereas the next closet was 1218 away.
Choose option C as the curve of best fit.
Cheers.
Answer:
c
Step-by-step explanation:
giá tiền cước của một hãng taxi được tính như sau :giá mở đến 1km đầu là 12000 đồng ; 10500 đồng/km cho 20 km tiếp theo và 99000 đồng/km cho những km còn lại . Hỏi ông sáu đi từ nhà đến khu du lịch sinh thái Bò Cạp Vàng với quãng đường 62km bằng taxi của hãng đó hết bao nhiêu
Answer:
Ông sáu sẽ mất 4281000 đồng
I have a/some question(s) for yall,
1. What's the ratio of 30 freshmen to 100 seniors ? as a fraction in simplest form
2.give two equivalent ratios to 1/4
3. Adam has 12 pennies and Selene has 60 pennies whats the ratio of selenes pennies to adams pennies in simplest form?
Answer:
1. 30:100 = 30/100=3/10
2. 2:8, 3:12
3. 60:12 = 5:1 or 5/1
Step-by-step explanation:
If A teacher works 8 hours a day and earns 15 Dollars How Much money would she have is 4 Days?
what is the answer to (3^2-8) +4=
Answer:
5
Step-by-step explanation:
Answer:
5 is the answer to the question.
Step-by-step explanation:
(3² - 8) + 4
= (3×3×3 - 8) + 4
= (9 - 8) + 4
= 1 - 4
= 5
graph the function g(x)=10*(3/5)^t
Answer:
Hope this helps you.
Step-by-step explanation:
I plugged in x for t, but it is the same graph.
tan 21 degrees = 9/x
Answer:
23.4458015822
Step-by-step explanation:
tan(21) = 9/x
9/tan(21) = x
9/tan(21) = 23.4458015822
Classify What type of number is 1.00 repeating
Answer:
rational, integer, whole, natural, real
Step-by-step explanation:
Trailing zeros after the decimal point do not change the value of a number. This number is 1, a rational, real, integer, whole, natural number.
You are taking a survey on the heights of all your classmates. This is an example of categorical data.
True or false
The given statement is false as taking a survey on the heights of all your classmates is an example of quantitative data.
Quantitative data is data that can be measured and expressed as numbers,
such as height, weight, age, etc. Categorical data, on the other hand, consists of distinct categories or groups, such as eye color, gender, favorite color, etc.
Data can be classified into two main types: quantitative data and categorical data.
Quantitative data:
Quantitative data is numerical data that represents measurements or quantities.
It deals with things that can be measured and expressed as numbers.
For example, the heights of people, the weights of objects, the ages of individuals, and the temperatures in degrees are all examples of quantitative data.
Quantitative data can be further divided into two subtypes: discrete and continuous data.
Discrete data: Discrete data consists of whole numbers that cannot be further divided into smaller parts.
For example, the number of students in a class, the number of cars in a parking lot, and the number of books on a shelf are all examples of discrete data.
Continuous data: Continuous data consists of real numbers that can take on any value within a specific range.
For example, the height of a person can be measured as 165.5 cm, 170.2 cm, 178.9 cm, etc. These are all examples of continuous data.
Categorical data:
Categorical data, also known as qualitative data, involves the grouping of items into categories or classes.
It represents characteristics or attributes and is not numerical in nature. Categorical data is further divided into two subtypes: nominal and ordinal data.
Nominal data: Nominal data consists of categories with no intrinsic order or ranking.
For example, eye color ( blue, brown, green) and types of fruits (e.g., apple, banana, orange) are examples of nominal data.
Ordinal data: Ordinal data consists of categories with a meaningful order or ranking.
However, the differences between the categories are not quantifiable.
For instance, educational levels (elementary, middle, high school) and satisfaction levels (very satisfied, satisfied, neutral, dissatisfied, very dissatisfied) are examples of ordinal data.
The height survey of classmates, the data collected would be numerical values representing the heights of each individual.
Since heights are measured and expressed as numbers, this falls under quantitative data, not categorical data.
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a circle has a radius of 8.5cm correct to the nearest 0.1cm.
the lower bound of the area of the circle is pπ cm².
the upper bound of the area of the circle is qπ cm².
find the value of p and the value of q.
Answer:
The area of the circle is exactly π times the square of its radius. If you are given that the radius is within 0.1cm of 8.5cm, i.e. lies between 8.4 cm and 8.6 cm, its square will lie between p=8.4² = 70.56 and q=8.6² = 73.96 cm².
Answer:
The area of the circle is exactly π times the square of its radius. If you are given that the radius is within 0.1cm of 8.5cm, i.e. lies between 8.4 cm and 8.6 cm, its square will lie between p=8.4² = 70.56 and q=8.6² = 73.96 cm².
Step-by-step explanation:
thanks for question dear
If an octagon is 24, how many is a pentagon?
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
If an octagon is 24, how many is a pentagon?
Ans : Pentagon has 5 sides.
( A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides. The names of polygons are derived from the prefixes of ancient Greek numbers. )
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
The pentagon is 15, when octagon is 24.
What is Polygon?
A polygon is a figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides).
Polygon with 8 sides known as Octagon and polygon with 5 sides known as Pentagon.
Here, given that, Octagon = 8 sides = 24
So, 1 side= 3
Then, we get, pentagon = 5 sides = (5×3) = 15
Hence, the pentagon is 15.
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Pregunta N° 1: ¿Cuántas fracciones propias e irreductibles con denominador 24 existen? 1 punto A) 2 B) 4 C) 6 D) 8 E) 10 Pregunta N° 2: ¿Cuántas fracciones impropias e irreductibles con numerador 25 existen? 1 punto A) 19 B) 21 C) 25 D) 29 E) 33 Pregunta N° 3: La edad de Miguel es 4/5 de la edad de su novia. Si las edades de los dos suman 63 años, calcule la edad de la novia de Miguel. 1 punto A) 20 años B) 26 años C) 32 años D) 35 años E) 40 años Pregunta N° 4: Si son las 8 a. m., ¿qué fracción del día ha transcurrido? 1 punto A) 1 B) 2 C) 1/2 D) 1/3 E) 1/5
ayuden porfavor
Answer:
Pregunta 1: Opcion D. 8
Pregunta 2: Opción A. 19 (aunque lo correcto es decir que son 20)
Pregunta 3: 28 años (no está como opción)
Pregunta 4: Opción D. 1/3
Step-by-step explanation:
Las fracciones irreductibles son aquellas que después de dividirlas por un común divisor, una vez que no se pueden dividir más se dice que son irreducibles, por lo tanto no existe ningún número que sea divisor común del numerador y del denominador más que 1.
Fracciones irreductibles con común denominador 24.
Como máximo divisor tenemos el 24 y como mínimo el 1
entre 1/24 y 1 estarán nuestras fracciones o sea:
1/24 < x/24 < 1. Ahora convertimos el 1 en fracción de 24, lo que sería 24/24 para igualar el numerador en ambos lados de la ecuación, para poder determinar x
1/24 < x/24 < 24/24
Como vemos que x tiene que estar entre 1 y 24, las respuestas serán:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 y 23
Eliminamos los números divisores de 24, aquellos pares, y nos focalizamos en los que no podriamos dividir por nada con 24, o sea los números primos
5, 7, 11, 13, 17, 19, 23. Como nos falta el 1, obtenemos un total de 8 fracciones: 1/24, 5/24, 7/24, 11/24, 13/24, 17/24, 19/24, 23/24
Mismo procedimiento para el 25:
1/25 es una de las fracciones irreductibles. Pensamos en los valores de x
1/25 < x/25 < 25/25
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
Los números divisibles por 25, son los multiplos de 5, asi que esas respuestas no irían. Las fracciones irreductibles son:
1/25, 2/25, 3/25, 4/25, 6/25, 7/25, 8/25, 9/25, 11/25, 12/25, 13/25, 14/25, 16/25, 17/25, 18/25, 19/25, 21/25, 22/25, 23/25 y 24/25 haciendo un total de
20. Por alguna razón está mal formulada la pregunta, son 20 pero no está como opción y como te piden fraccion impropia (numerador > denominador), contamos a partir de 26. FIjate que hasta el proximo entero que sería 50/25, también son 20 fracciones (irreductibles e impropias)
26/25, 27/25, 28/25, 29/25, 31/25, 32/25, 33/25, 34/25, 36/25, 37/25, 38/25, 39/25, 41/25, 42/25, 43/25, 44/25, 46/25, 47/25, 48/25, 49/25
Próxima pregunta:
Miguel tiene 4/5 de la edad de la novia, y ambas edades suman 63.
Plantiemos la siguiente ecuacion donde x es la edad de la novia
4/5x + x = 63
9/5x = 63
x = 63 . 5/9 (como 9/5 pasa al otro lado de la igualdad dividiendo, damos vuelta la fraccion multiplicandola)
x = 35
Si la novia tiene 35 años y la edad de Miguel es 4/5 de esa edad
4/5 .35 = (35 .4) /5 = 28
Es raro porque no está la respuesta como tal.
Próxima pregunta:
Al ser las 8 am, quiere decir que han pasado 8 horas de que empezó el día
y el día tiene 24 horas.
8 horas transcurridas / 24 horas totales = 1/3
if x^2+y^2=14 annd xy=5 find the value of (1/2x+1/2y)^2
Answer:
7Step-by-step explanation:
[tex]\left(\frac12x+\frac12y\right)^2=\\\\=\left[\frac12(x+y)\right]^2=\\\\=\left(\frac12\right)^2\left(x+y\right)^2=\\\\=\frac14\left(x+y\right)^2=\\\\=\frac14(x^2+2xy+y^2)=\\\\=\frac14(x^2+y^2+2xy)=\\\\=\frac14(14+2\cdot5)=\\\\=\frac14\cdot28=\\\\=7[/tex]
Please help i need this answered!!
Everything you answered so far looks good. Nice work.
For question 10, we need to find two numbers that multiply to 3(-1) = -3 and also add to 2. The 3 and -1 are the first coefficient and last term. The 2 is the middle coefficient.
Through trial and error, the two numbers we're after are 3 and -1
3 times -1 = -3
3 plus -1 = 2
We break up the 2x into 3x - 1x and factor like so...
3x^2 + 2x - 1
3x^2 + 3x - 1x - 1 ... replace 2x with 3x-1x
(3x^2+3x) + (-1x-1) ... pair up terms
3x(x+1) - 1(x+1) .... factor each parenthesis group
(3x-1)(x+1) ... pull out the gcf (x+1)
You can use FOIL, the box method, or distribution to go from (3x-1)(x+1) back to 3x^2+2x-1 again.
The answer to problem 10 is (3x-1)(x+1)Answer:
Step-by-step explanation:
What is (0,6] n (6,8]?
Answer:
(6) the letter n : intersection which means the number you will find at the first bracket and has the same number at the other bracket
Gary is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below:
A triangle ABC is shown. D is a point on side AB and E is a point on side AC. Points D and E are joined using a straight line.
He starts with the assumption that segment DE is parallel to segment BC.
Which inequality will he use to contradict the assumption?
Answer:
That Ratios aren't equal.
Step-by-step explanation:
Given: DE is || to BC.
So in order to make this false then we have to say that the sides aren't proprtional, making it not possible to get the ratios equal.
(See the Triangle proprtionality theorem or the triangle midsegment theorem)
Answer:
4:10 ≠ 6:14
Step-by-step explanation:
bc i said so
A room in the shape of a cube has a floor area of 20.25 square metre what is its height ? what is its volume ?
Answer:
Height= 4.5 Volume= 91.125
Step-by-step explanation:
Which of the following is NOT equal to ? 3/4
Answer: D
Step-by-step explanation:
3/4 is equal to 0.75.
A is pretty easy. You just add the numerator and get 3/4. So, that is NOT the answer.
B is 9/12. If you divide 9 and 12, it gives 0.75, which is equal to 0.75. This NOT the answer.
C is 6/8 and simplifies into 3/4 so is this is NOT the answer.
D is 3/12 and when you dividere the umerator and the denominator, it gives 0.25 or 1/4, which isn’t equal to 3/4. This IS the answer.
Hope this helped!
The expression that is not equal to 3/4 will be 1/12 + 2/12. Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Let's check all the options. Then we have
A. 1/4 + 1/4 + 1/4, then the value of the expression is given as,
1/4 + 1/4 + 1/4 = 3/4
B. 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8, then the value of the expression is given as,
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6 / 8
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 3 / 4
C. 3 / 12 + 6 / 12, then the value of the expression is given as,
3 / 12 + 6 / 12 = 9 / 12
3 / 12 + 6 / 12 = 3 / 4
D. 1 / 12 + 2 / 12, then the value of the expression is given as,
1/12 + 2/12 = 3 / 12
1/12 + 2/12 = 1 / 4
The expression that is not equal to 3/4 will be 1/12 + 2/12. Then the correct option is D.
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Ten years ago. Phukan is 18 years younger than Namwan.Currently, the sum of their ages is 100 years. Find their current ages.
WRITE AS AN EQUATION
Step-by-step explanation:
phukan = x
Nanwan = y
let this be a simultaneous equation.
x - y = 18.... equation i
x + y = 100.... equation ii
subtract equation i from equation ii
= 2y = 118
y = 59
substitute y = 59 in equation ii to get x
x + 59 = 100
x = 100- 59
x = 41
Nanwan = 59, Phukan = 41
Answer:
Nawman = 59 years
Phukan = 41 years
Step-by-step explanation:
P = N - 18
P + N = 100
(N - 18) + N = 100
2N = 100 + 18
2N = 118
N = 118 : 2
N = 59 years
P = (59 - 18) years
P = 41 years
If x >0 and y < 0. is the equation x - y >0 sometimes, always, or never true
Prove your answers with two examples.
Answer:
always true because the negative value of y is cancelld by - sign so it becomes x+|y|
examples: x=1, y=-1 then 1-(-1)>0
x=2, y=-5 then 2-(-5)>0
Solve for a.
ab+c=d
a= b + c/d
a = b/(c-d)
a = (d - c)/b
Answer:
A=d-c/b
Step-by-step explanation:
Answer:
ab+c=d
Step-by-step explanation:
just took the test
What is the inverse of the function h(x)=5/2x+4 h^{-1}(x)=
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]h(x)=5/2x+4 \\\\x=(h^{-1}o})(x)=(hoh^{-1})(x)=h(h^{-1}(x))=\dfrac{5}{2h^{-1}(x)+4}\\\\<=> 2h^{-1}(x)+4=\dfrac{5}{x}\\\\<=> h^{-1}=\dfrac{\dfrac{5}{x}-4}{2}\\\\<=>h^{-1}=\dfrac{5-4x}{2x}[/tex]
Thank you.
The telephone numbers in a small town have two digits. They run from 00 to 99.
Of the 100 possible numbers, those that become smaller when reversed are not used, i.e. 21 is not used.
What is the maximum number of telephone numbers this town could have?
Answer:
[tex]55[/tex]
Step-by-step explanation:
We'll be using case-work to solve this problem. Let's call the ones digit of the telephone number [tex]B[/tex] and the tens digit [tex]A[/tex]. Each telephone number can be represented as [tex]AB[/tex].
Since the question states that numbers that are smaller when their digits are reversed are not used, we have the following inequality:
[tex]B\geq A[/tex]
This is because if [tex]A>B[/tex], the number would become smaller when [tex]A[/tex] and [tex]B[/tex] are switched in [tex]AB[/tex]. However, if [tex]A=B[/tex] or [tex]B>A[/tex], the number will not become smaller.
Let's work our way up starting with [tex]A=0[/tex]. If [tex]A=0[/tex], there are 10 other numbers (0-9) that we can choose for [tex]B[/tex] that adhere to the condition [tex]B\geq A[/tex]:
[tex]0B,\\01, 02, 03,...[/tex]
Therefore, there are 10 possible telephone numbers when the tens digit is 0.
Repeat the process, now assigning [tex]A=1[/tex]. Now, we only have the digits 1-9 to choose from for [tex]B[/tex], since [tex]B[/tex] needs to be greater than or equal to A. Therefore, there are 9 possible telephone numbers when the tens digit is 1.
This pattern continues. As we work our way up through the cases (when increasing [tex]A[/tex] by 1), the number of possible telephone numbers decreases by 1, since there becomes one less option for [tex]B[/tex].
The last case would be [tex]A=9[/tex] in which case there would only be one option for [tex]B[/tex] and that would be 9.
Since there are 10 cases (0-9), add up the possible telephone numbers for each case:
[tex]\displaystyle \sum_{n=1}^{10}n=1+2+3+4+5+6+7+8+9+10=\boxed{55}[/tex]
Alternatively, recall that the sum of this series can be found using [tex]\frac{n(n+1)}{2}[/tex], where [tex]n[/tex] is the number of values in the set. In this case, [tex]n=10[/tex], and we have:
[tex]1+2+3+4+5+6+7+8+9+10=\frac{10(11)}{2}=\frac{110}{2}=\boxed{55}[/tex]
a clothing factory made 4537 shirts. if an equal number of shirts was placed in each 56 boxes, how many shirts were left over?
Answer:
57 shirts were left over
Step-by-step explanation:
57 multiplied by 80 gives you 4480
4537 subtracted by 4480 gives you 57 leaving you with 57 shirts left over :)
Do radical expressions with the same degree and the _____ are called like terms.
Answer:
The answer is A - Radicand.
Hope that helps!
Can someone help? I’m almost done with this class.
Answer:
750
300
390, 570
120,750
2.28
15.87
Step-by-step explanation:
Hii, can you help me ?
Answer:
The answer is about 15 cm because if you use a ruler, it is a little under 15cm
Step-by-step explanation:
Answer:
15cm
Step-by-step explanation:
most pens are under 15 cm by a a couple of millimeters. 15 cm is in fact the best estimate. It really depends on the pen your using but the average pen is about 15 cm.
If f(x) = -2[x] + 8, what is f(-1.8)?
O 4
O 6
O 10
O 12
Answer:
12
Step-by-step explanation:
since the function is -2x+8 and you have been told to find f(-1.8) you have to replace -1.8 were there's x in the function.
f(x)=-2x+8
f(-1.8)=-2x+8
=-2(-1.8)+8
=3.6+8
=11.6 round off to 12
I hope this helps
Answer:
10
Step-by-step explanation:
Don't look at the other persons' answer, its wrong. The answer is 10 because I retook the quiz 3 TIMES until I got the right answer because the other people couldn't provide the right answer. All in all, I wish you all luck on your quiz and I hope you get it right! <3
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 3 end quantity plus 5 equals x
Answer:
Step-by-step explanation:
[tex]\sqrt{x-3} +5=x\\\sqrt{x-3} =x-5\\squaring ~both~sides\\x-3=x^2-10x+25\\x^2-10x-x+25+3=0\\x^2-11x+28=0\\x^2-7x-4x+28=0\\x(x-7)-4(x-7)=0\\(x-7)(x-4)=0\\x=7,4[/tex]
put x=7 in the given equation
[tex]\sqrt{7-3} +5=7\\\sqrt{4} +5=7\\2+5=7\\7=7[/tex]
which is true .
∴ x=7 is a solution of the given eq.
now put x=4 in the given eq.
[tex]\sqrt{4-3} +5=7\\1+5=7\\6=7\\[/tex]
which is not true.
∴x=4 is an extraneous solution.
Two cars started to move towards each other at the same time. The speed of the first car was twice the speed of the second car. They met in 2 hours. If the distance traveled altogether was 300 km, find the rates of the cars.
Answer:
(x + 2 x) * t = 300 km
3x = 300 km/ 2 hrs = 150 km / hr
x = 50 km / hr
One car traveled at 50 km / hr and the other at 100 km / hr
In 2 hours they traveled 300 km
The speed of the first car is 100 km/hr and that of the second car is 50 km/hr.
What are work and time?Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.
Another illustration of labor is when you finish your meal in an hour, which means that you finished your work in an hour. In essence, work is the length of time it took you to complete any task.
Speed of the second car is = v
The speed of the first car = 2v
Given that
Distance covered by = 300 km
Time taken = 2 hr
By relative velocity concept
2v + v = 300/2
3v = 150
v = 50 km/hr.
Hence the speed of the first car will be 100 km/hr and that of the second car will be 50 km/hr.
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Which of the equations are true identities?
A. m^3-1= (m - 1) (1 + m + m²)
B. (n + 3)^2 + 2n = 8n + 13
Answer:
Equation A is true; Equation B is not
Step-by-step explanation:
There is a standard formula for the "difference of cubes" that is:
x^3 - y^3 = (x - y)(x^2 + xy + y^2)
and this perfectly matches equation A.
Equation B has the square of n (n^2) on the left side but not on the right side. Thus this is not an identity.