The best description of the domain of the function is (c) all whole numbers
How to determine which best describes the domain of the function?The function is given as
C(t) = 0.05t + 20
The input variable of the above function is t
t represents the number of text messages
The number of text messages cannot be negative
Hence, the best description of the domain of the function is (c) all whole numbers
Read more about domain at:
https://brainly.com/question/2264373
#SPJ1
what is the fraction form of 10.0833333... repeating
What is 10.0833333 as a fraction?
To write 10.0833333 as a fraction you have to write 10.0833333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
10.0833333 = 10.0833333/1 = 100.833333/10 = 1008.33333/100 = 10083.3333/1000 = 100833.333/10000 = 1008333.33/100000 = 10083333.3/1000000 = 100833333/10000000
And finally we have:
10.0833333 as a fraction equals 100833333/10000000
what is a mediannnn please help
Answer:
The middle number in a set of numbers.
Step-by-step explanation:
For example, if I have a set of numbers like 5,6,3,7,9
3 would be the median because it is in the middle.
I hope I helped!!
Write an equation representing the fact that the product of two consecutive odd integers is 255. use x to represent the smaller integer.
The first odd number = 15
The second is then = 17
The Consecutive numbers are:Consecutive numbers are those that appear consecutively after one another in the range of smallest to largest. An illustration would be the sequence of numbers 1, 2, 3, 4, 5, and so on.
Where can I find consecutive numbers?Let x be the first of the following numbers to represent it algebraically. Following that, the numbers x + 1, x + 2, and x + 3 would be arranged in order. You must make sure that your first selection is an even number if the question requires consecutive even numbers.
According to the given information:We can employ the expression "2n," where n is any integer, to ensure that the result is even. By using the expression "2n + 1," we can ensure an odd number.
"2n + 3" will be the following odd number:
(2n + 1)(2n + 3) is the component of the odd integers, and it equals 255:
(2n + 1)(2n + 3) = 255
4n2 + 8n + 3 = 255
4n2 + 8n - 252 = 0
n2 + 2n - 63 = 0
(n + 9)(n -7) = 0
n = -9 and n = 7
We can disregard n = -9 because we are informed that the figures must be positive.
If n = 7,
The first odd number = 2(7) + 1 = 15
The second is then 17
To know more about consecutive numbers visit:
https://brainly.com/question/2493629
#SPJ4
I understand that the question you are looking for is:
The product of 2 positive, consecutive odd numbers is 255 .
Part A: Write a quadratic equation in standard form to represent this problem
Part B: What are the 2 numbers?
Part C: Show your work for Part B.
21. Find the y-coordinate of point M, the midpoint of AB, for A(-3, 3) and B(5, 7).
(Lesson 1-4)
A. -1
B. 1
C. 2
D. 5
Answer:
The [tex]y[/tex]-coordinate of this midpoint is [tex]5[/tex].
Step-by-step explanation:
Let [tex]{\sf A}[/tex] and [tex]{\sf B}[/tex] denote two points in the cartesian plane.
If point [tex]{\sf A}[/tex] is at [tex](x_{a},\, y_{a})[/tex] while point [tex]{\sf B}[/tex] is at [tex](x_{b},\, y_{b})[/tex], the midpoint of [tex]{\sf AB}[/tex] would be at:
[tex]\begin{aligned}\left(\frac{x_{a} + x_{b}}{2},\, \frac{y_{a} + y_{b}}{2} \right)\end{aligned}[/tex].
In other words, the [tex]y[/tex]-coordinate of the midpoint of [tex]{\sf AB}[/tex] would be the average of the [tex]y\![/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex].
In this question, the [tex]y[/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex] are [tex]3[/tex] and [tex]7[/tex], respectively. The [tex]y\![/tex]-coordinate of the midpoint of [tex]{\sf A}\![/tex] and [tex]{\sf B}[/tex] would be the mean [tex](3 + 7) / (2) = 5[/tex].
Question 2(Multiple Choice Worth 1 points)
(01.01 LC)
Evaluate the expression 5(7-4)2 = 3 + 11.
03
14
026
33
26 is the right answer .
Given expression 5(7 - 4)² ÷ 3 + 11.
BODMAS rule is an acronym that is used to remember the order of operations to be followed while solving expressions in mathematics. It stands for B - Brackets, O - Order of powers or roots, D - Division, M - Multiplication, A - Addition, and S - Subtraction. It means that expressions having multiple operators need to be simplified from left to right in this order only. First, we solve brackets, then powers or roots, then division or multiplication (whichever comes first from the left side of the expression), and then finally, subtraction or addition, whichever comes on the left side.
Using the BODMAS rule, we solve bracket first,
5(3)² ÷ 3 + 11
45 ÷ 3 + 11
= 15 + 11
= 26
after evaluate the expression we get 26 as answer.
To learn about more about BODMAS rule
visit : brainly.in/question/11097160
#SPJ9
Which number is greater,
23
×
10
3
or
11
×
10
4
? How do you know? Show your work and explain your steps.
Answer:
Answer: 11x10^4 is greater. Step-by-step explanation: 23x10^3 = 23x10x10x10 = 23000. 11x10^4 = 11x10x10x10x10 = 110000. 110000 is greater than 23000.
Step-by-step explanation:
cos
Marcus owes Abdullah
$10. He also owes
$5 to Mariyah. Which
integer represents
Marcus' finances?
A. -15
B. -5
C. 5
D. 15
Suppose a vector y is orthogonal to vectors u and v. show that y is orthogonal to the vector u v.
Using Dot product
Two vectors x and y are said to be orthogonal if their dot product is zero
⇒ x.y = 0
This is because orthogonal vectors are make an angle of 90° with each other and therefore θ becomes 90°
Dot product is given by :
x.y = x*y*cosθ = xycos90°
∵cos90° is zero , x.y=0 for orthogonal vectors.
Let u,v,y be vectors in R
y is orthogonal to u and v
⇒ y.u = 0 and y.v=0
Now, we have to prove that y is orthogonal to (u+v)
The dot product of these vectors is given by:
y.(u+v) = y.u + y.v (Dot product is distributive) = 0 + 0 = 0
∵The dot product is zero , vector y and (u+v) are orthogonal
(To know more about Dot Product : https://brainly.in/question/53076397)
A startup sports public relations company is looking to grow. They currently represent 2 clients and plan on representing 3 additional clients each year. The following graph can be used to help determine the number of clients, y, the company will have after x years.
ased on the context, what is the range of the function?
[0, ∞)
[2, ∞)
[−7, 7]
ℝ
Based on the context, the range of this function is given by: C. [−7, 7]
What is a range?A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.
How to identify the range of this graph?The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph of function f(x) shown, we can infer and logically deduce the following:
Range = [−7, 7]
Read more on range here: brainly.com/question/17295757
#SPJ1
(-1)^{3}]^{6} find the value of
The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1
Exponent:
A number's exponent indicates how many times we multiply a number by itself. For example, [tex]3^{4}[/tex] indicates that we have multiplied 3 four times. The expanded form is 3×3×3×3. An exponent is also known as a number's power. It can be an integer, a fraction, a negative number, or decimals.
Law of Power of a Power: [tex](x^{a}) ^{b}[/tex]=[tex]x^{ab}[/tex] {Here a,b can be an integer, a fraction, a negative number, or decimals}
Given question is [tex](-1^{3}) ^{6}[/tex]
⇒[tex](-1^{3}) ^{6}[/tex]=[tex](-1)^{6.3}[/tex]{ using Law of Power of a Power}
⇒[tex](-1)^{18}[/tex]=1 { -1 raised any even number= positive one}
Therefore,The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1
Learn more about Exponent here:
https://brainly.com/question/5497425
#SPJ9
In the figure below, m4=96°. Find mZ1, mZ2, and mZ 3.
The answer is m∠1 = 84°
Step-by-step explanation:
m∠4 = m∠2 so m∠2 = 96°
m∠1 + m∠2 = 360 - m∠4 - m∠2
m∠1 + m∠2 = 360 - 96 - 96
m∠1 + m∠2 = 168
m∠1 = 168/2
m∠1 = 84°
The midpoint of AB is M (0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?
Answer: B(-2,-7)
Step-by-step explanation:
[tex]\displaystyle\\M(x_M,y_M)=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2}) \\\\x_A=2\ \ \ \ x_M=0\ \ \ \ y_A=-1\ \ \ \ y_M=-4\\\\x_M=\frac{x_A+x_B}{2} \\\\Multiply\ both\ parts\ of \ the \ equation\ by\ 2:\\2x_M=x_A+x_B\\\\\Rightarrow\ x_B=2x_M-x_A\\\Rightarrow \ x_B=2(0)-2\\\Rightarrow\ x_B=0-2\\\Rightarrow\ x_B=-2\\Similarly,\\y_B=2y_M-y_A\\y_B=2(-4)-(-1)1\\y_B=-8+1\\y_B=-7\\Thus,\\B(-2,-7)[/tex]
The 3-sigma limits for a process whose distribution conforms to the normal distribution includes _______ of the observed values, in the long run.
The 3-sigma limits for a process whose distribution conforms to the normal distribution include 99.74% of the observed values, in the long run. This means that if you have a process that is normally distributed, then, in the long run, 99.74% of the values will fall within three standard deviations of the mean.
This is an important concept to understand because it can be used to help control a process. For example, if you know that 99.74% of the values will fall within three standard deviations of the mean, then you can set up control limits that correspond to those values. This can help you ensure that your process stays within the desired range.
Understanding the 3-sigma limits can help you better control your process and ensure that it produces the desired results.
For more information on 3-sigma limits click on the link below:
https://brainly.com/question/17063477
#SPJ4
i don’t understand this i already tried but got 1.25 bad i’m pretty sure it’s wrong
Answer:
Smallest integer=14
Step-by-step explanation:
(x+x+2+x+4+x+6)/4=17
(4x+12)/4=17
4x+12=68
4x=68-12
4x=56
x=56/4
x=14
numbers are: 14, 16, 18, 20
SOLVE ALL OF THESE AND NUMBER THEM ON WHAT QUESTION THE ANSWER IS FOR
What is d if [tex]\frac{3d-2}{8} = -d+16\frac{1}{4}[/tex]
Answer: d=12
Step-by-step explanation:
[tex]\displaystyle\\\frac{3d-2}{8} =-d+16\frac{1}{4} \\\\\frac{3d-2}{8} =-d+\frac{16*4+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{64+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{65}{4}[/tex]
Multiply both parts of the equation by 8:
[tex]\displaystyle\\3d-2=(-d+\frac{65}{4} )(8)\\\\3d-2=-8d+65*2\\\\3d-2=-8d+130\\\\3d-2+2=-8d+130+2\\\\3d=-8d+132\\\\3d+8d=-8d+132+8d\\\\11d=132\\[/tex]
Divide both parts of the equation by 11:
[tex]d=12[/tex]
I need serious helpppppp!!!!!!
Answer:
Step-by-step explanation:
So we know that 22000+(-480t)
And we know that T is the minutes so we just gonna apply the number of minutes into that
if 5 minutes we going to write 22000+(-480 x 5)
and so on
Good luck :)
Vaca books has a net profit margin of 5.1 percent, a total asset turnover of 1.84, and a return on equity of 16.2 percent. what is the debt-equity ratio?
The debt-equity ratio is 0.726 : 1 or 72.64%
What is the Debt?Debt is the product of debt ratio and total equity
Debt = debt ratio × total equity
We have been given that
Asset turnover = 1.84
Profit margin = 5.1%
Return on equity of 16.2 percent
Let we have to assume that sales are $100.
Therefore net Income = 100×0.051 = 5.1
Total Assets = 100/0.84
Total Assets = 54.35
⇒ 0.162 = 5.1 / Total equity
⇒ Total Equity = 5.1 / 0.162
⇒ Total Equity = 31.48
Total assets = Total debt + Total equity
⇒ 54.35 = Total debt + 31.48
⇒ Total debt = 54.35 - 31.48
⇒ Total debt = 22.87
The debt-equity ratio = 22.87 / 31.48
The debt-equity ratio = 0.72649 : 1 or 72.649%
Learn more about the debt-equity ratio here:
https://brainly.com/question/27992240
#SPJ4
Bombonica s-a gândit la un număr, i-a adăugat 74, rezultatul obţinut l-a mărit de 10 ori, iar din
noul rezultat a luat de 7 ori câte 86 şi a obţinut 318, număr care reprezenta numărul zilelor de când
fusese răpit împăratul. La ce număr s-a gândit?
[tex]x + 74 \cdot 10 - (7 \cdot 86) = 318[/tex]
[tex]x+74\cdot \:10-7\cdot \:86=318[/tex]
[tex]x+740-7\cdot \:86=318[/tex]
[tex]x+740-602=318[/tex]
[tex]x+138=318[/tex]
[tex]x = 318 - 138 = 80[/tex]
Imparatul s-a gandit la numarul 80.
Please Help!!
Complete the conjecture based on the pattern you observe in the examples below
1) Conjecture: The sum of any two odd numbers is…
1+1=2
1+5=6
7+9=16
9+11=20
13+21=34
101+103=204
2) Conjecture: The product of any two odd numbers is…
1*1=1
1*5=6
7*9=16
9*11=20
13*21=34
101*103=204
3) Conjecture: The product of a number (x-1) and the number (x+1) is always equal to…
3*5=4^2-1
4*6=5^2-1
5*7=6^2-1
7*9=8^2-1
8*10=9^2-1
Answer:
Hello,
Step-by-step explanation:
1) Conjecture: The sum of any two odd numbers is even
(2a+1)+(2b+1)=2a+2b+2=2(a+b+1) is even
2) Conjecture: The product of any two odd numbers is ODD
(2a+1)*(2b+1)=4ab+2b+2a+1=2(2ab+a+b)+1 is ODD
1*1=1
1*5=5
7*9=63
9*11=99
13*21=273
3) Conjecture: The product of a number (x-1) and the number (x+1) is always equal to the difference of the square of x between 1
(x-1)(x+1)=x²-x+x-1=x²-1
Find the quotient and round the answers to 6 decimal places.
1.
09) 6.815.3
Answer:0.757
Step-by-step explanation:
Question 6(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Approximate 7+√40 to the nearest hundredth.
Answer:
13.32
Step-by-step explanation:
7 + 2 [tex]\sqrt{10}[/tex]
= 13.32456
Rounded to nearest hundredth = 13.32
The start of an arithmetic sequence is
16, 19, 22, 25, ...
The rule for the sequence can be written in the
form xn = cn +d, where c and d are
numbers.
a) By first calculating the values of c and d,
work out the rule for the sequence.
b) What is the value of x11?
a) If the [tex]n[/tex]-th term is [tex]x_n = cn+d[/tex], then
[tex]x_1 = c + d = 16[/tex]
[tex]x_2 = 2c + d = 19[/tex]
Eliminating [tex]d[/tex],
[tex](2c+d) - (c+d) = 19-16 \implies c = 3[/tex]
Solving for [tex]d[/tex],
[tex]3 + d = 16 \implies d = 13[/tex]
Then
[tex]\boxed{x_n = 3n + 13}[/tex]
b) When [tex]n=11[/tex], we get
[tex]x_{11} = 3\cdot11 + 13 = \boxed{46}[/tex]
misha is the 50th best as well as the 50th worst student in her grade. how many students are in misha's grade?
There are 99 students in Misha's grade.
What do we mean by Venn diagrams?A Venn diagram is a popular diagram style that shows the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach elementary set theory and to illustrate simple set relationships. To represent sets, a Venn diagram employs simple closed curves drawn on a plane. These curves are frequently circles or ellipses.So,
We'll make a Venn diagram (consider the diagram given below).Misha is common in both groups.According to the diagram, 49 + 49 + 1 = 99.Therefore, there are 99 students in Misha's grade.
Know more about Venn diagrams here:
https://brainly.com/question/2099071
#SPJ4
. Use Structure is the product the same
when multiplying 22 x (-5) and multiplying
(-5) x 22? Explain.
Answer:
Yes.
Step-by-step explanation:
Let's say a=22 and b=-5
According to the Commutative Property of Multiplication, a*b=b*a. Hence, 22*(-5)=(-5)*22.
22*(-5)=
-(22*5)=-110
(-5)*22=
-(5*22)=-110
-110=-110 √
Givien h(x) = -x- 5, find h(-6)
Answer:
h(-6) = 1
Step-by-step explanation:
Hello!
Substitute -6 for x in the equation.
Evaluateh(x) = -x - 5h(-6) = -(-6) - 5h(-6) = 6 - 5h(-6) = 1h(-6) is 1.
A plumber needs to install handles in 9 sinks. Each sink has a hot water handle and a cold water handle.he has 19 handles. Does he have enough handles?
The plumber has enough handles to install the entire 9 sinks
How to calculate the amount of handles needed for installation ?A plumber needs to install handles in 9 sinks
Each sink has a hot water handle and a cold water handle, that means each sink will require 2 handles. This means the multiplication of 9 and 2
= 9 × 2
= 18
The plumber has a total of 19 handles and 18 handles are required for the installation. This means that he has enough handles and he will be left with one handle.
Hence, there will be enough handles for the installation.
Read more on multiplication here
https://brainly.com/question/13608561
#SPJ1
-(16 - 5x) simplified
Answer:
5x-16
Step-by-step explanation:
-(16 - 5x)
Use distributive property to open parenthesis.
-(16 - 5x)=
=(-1*16)+(-1*-5x)=
=(-16)+(5x)=
=5x-16
Finding x.
5x-16=0
5x=16
x=3.2
Hope this helps!
Please mark as brainliest if correct!
10. (01.03 lc) when constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle? (1 point) connect every other intersection of an arc and the circle with a segment. connect the intersections of the diameters and the circle with a segment. connect every intersection of an arc and the circle with a segment. connect the midpoint of the radius to the endpoint of the diameter.
The correct option is C. Connect every intersection of an arc and the circle with a segment.
When constructing an inscribed regular hexagon, the steps come after six arcs are created on the circle is connect every intersection of an arc and the circle with a segment.
What is regular hexagon?A hexagon is a two-dimensional geometric shapes shape with six sides that have the same or different length dimensions. A hexagonal flooring, pencil cross-section, honeycomb, and other real time of the hexagon shape include.
Some key features related to regular hexagon are-
A regular hexagon is a closed 2D shape with six equal sides as well as six equal angles. Each regular hexagon angle measures 120 degrees. The total of all interior angles is 120 × 6 = 720 degrees.Both have six sides, six interior angles, and six vertices.All six interior angles add up to 720 degrees.All six exterior angles add up to 360 degrees.To know more about the regular hexagon, here
https://brainly.com/question/15424654
#SPJ4
It is the location of the center of an equal distance point traced from the center. A circle's radius is the distance among its center and its circumference.
When building an engraved regular hexagon.
Following the creation of six arcs on the circle, the following steps will be taken.
A segment should be connected to every intersection of an arc and a circle.
The correct question is -
When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle?
A. Connect every other intersection of an arc and the circle with a segment. B. Connect the intersections of the diameters and the circle with a segment.
C. Connect every intersection of an arc and the circle with a segment.
D. Connect the midpoint of the radius to the endpoint of the diameter.
Answer: (C) Connect every intersection of an arc and the circle with a segment.
Step-by-step explanation: butter
Question 4 A woman borrowed $2,000,000.00 from bank at a rate of 15% per annum simple interest for 2 years. a) Find i) the interest for the 2 years; how much she paid in all to the after the 2 years. ii) b) She used the $2,000,000.00 to purch fridge and sold it at a profit of 45%.Find the selling price of the fridge.
Part i) Simple interest = $600,000.00.
Part ii) Selling price = $2,900,000.00.
What is defined as the simple interest?Simple interest is a simple and quick method to approximate the interest on a loan. Simple interest is calculated by multiplying this same daily interest rate by the principal multiplied by the number of days between payments.Part i) The formula for simple interest is;
SI = PRT/ 100
P = principal amount = $2,000,000.00.
R = rate of interest = 15%
T = time in years = 2 years.
Put the value in the formula;
SI = ( $2,000,000 × 2 × 15)/100
On simplification;
SI = 600,000
Thus, the simple interest at the end of 2 years is $600,000.oo
Part ii) the selling price
Selling price = cost price + profit
Selling price = cost price + 45%of cost price
Cost price = $2,000,000.00
45%of cost price = 45× $2,000,000.00/100
45%of cost price = 900,000.00
Selling price = $2,000,000.00 + 900,000.00
Selling price = $2,900,000.00.
The the selling price of the fridge is found as $2,900,000.00.
To know more about the simple interest, here
https://brainly.com/question/25793394
#SPJ9