The domain and range of the function C(m) the equation for is mathematically given as
Dc=[0,\infty)
This is further explained below.
What are the domain and range of the function C(m)?Generally, The domain and the range of a function are as follows: The values that are assumed by an input are referred to as a function's domain, while the numbers that are assumed by the outputs are referred to as the function's range.
In this question:
C(m)=0.05m+20
The input, denoted by the letter m, is the number of phone calls, and this value might be anything between 0 to an unlimited amount. So
The domain is Dc=[0,\infty)
The value of C(0) is equal to 20 when the input m is set to 0. As m grows, so does C (m). What this indicates is that:
The range is: Rc=[20,\infty)
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CQ
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?
given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x π)?
Value of cos(x+π) = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]
Given cosine of x = [tex]-\frac{\sqrt{3} }{2}[/tex]
i.e., cos(x) = [tex]-\frac{\sqrt{3} }{2}[/tex]
Also cos([tex]\frac{\pi}{6}[/tex]) = [tex]\frac{\sqrt{3} }{2}[/tex]. So x = [tex]\frac{\pi}{6}[/tex].
We need to find cos(x+π) = cos([tex]\frac{7\pi}{6}[/tex]).
But its value is not easy to find. So we use trigonometric formulas.
We have the trigonometric formula, cos (x+π) = - cos(x) = - [tex]-\frac{\sqrt{3} }{2}[/tex] = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]
Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).
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15. Which of the following numbers has the largest value?
9/2, 4 1/2, 4.505, 4.550
Answer:
4.550.
Step-by-step explanation:
Converting to decimal form:
9/2 = 4.5
4 1/2 = 4.5
4.505
4.550
The largest is 4.550.
For g (x)=x^2 + 6 find g(2)
Answer:
plug in the 2 for x so its 2^2+6 2^2 is 4 plus 6 is 10
Step-by-step explanation:
Alva has 4 packs of pencils. There are 15 pencils in each pack. She wants to put an equal number of pencils into 6 pencil pouches. Which expression would show how many pencils can go in each pencil pouch?
4÷15×6
(15×4)÷6
(15÷4)×6
4×15×6
What does 1 whole 1/5 - 2 wholes 3/4 =
(1/a)+(1/b)-(1/c)=4 for c
The value of the c is obtained as; c = ac/(b + a - 4ab).
What is defined as the equation?A mathematical equation can be defined in a variety of ways. In its most basic form, an equation is a statement that demonstrates that two formulas are equal.
3x + 5 = 24, for example, is an equation in which 3x + 5 and 24 are two declarations kept separate by a 'equal' sign. In mathematics, the most basic as well as simple algebraic formulas consist of one or more variables.A linear equation can have multiple variables. A linear equation is one in which the variable's highest power is always 1. A one-degree equation is another name for it.Now, for the given equation in three variables;
(1/a)+(1/b)-(1/c) = 4
Bring the quantity to be find on one side and others on the other side.
1/a + 1/b - 4 = 1/c
Taking LCM on the left hand side.
(b + a - 4ab)/ab = 1/c
Taking the reciprocal on the both side.
c = ac / (b + a - 4ab)
Thus, the solution of the given equation in the terms of the c is;
c = ac / (b + a - 4ab).
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translate the following verbal statement into an algebraic equation and then solve: use x for your variable. the quotient of three more than a number and six is nine.
Answer:
2x)\9
Step-by-step explanation:
Answer:
X+3/6=
Step-by-step explanation:
A rental car company charges $37. 50 per day to rent a car and $0. 05 for every mile driven. Alyssa wants to rent a car, knowing that: she plans to drive 100 miles. She has at most $200 to spend. Write and solve an inequality which can be used to determine xx, the number of days alyssa can afford to rent while staying within her budget
Answer: 4 Days
Step-by-step explanation:
To drive a 100 miles you would do 0.05*100=5
it cost 37.50 everyday and if you add the 5.00 it would cost to drive the 100 miles you get 42.50-200=157.50
37.50*4=150+42.50=192.50
she could rent the car for 4 days
HEY I NEED HELP ASAP CAN YOU HELP? WILL GIVE BRAINLYIST
show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.
Question:
Abdul wants to put a rug in a square room that has an area of 775 square feet. He wants to leave a 3-foot border of bare floor on each side. What are the dimensions of the rug rounded to the nearest hundredth?
The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.
What are the dimensions of the rug rounded to the nearest hundredth?It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.
Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.
It follows that all sides of the room are equal and the length of each side can be determined as;
s = √Area; since Area = s².
s = √775
s = 27.839 ft.
Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.
However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;
= 27.839 - 3 -3 = 21.839 ft on all sides.
Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.
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Can someone please help mee (20 points + brainliest!!!)
Answer:
m = - 1 and b = - 4
Step-by-step explanation:
the equation of a line in slope= intercept form is
y = mx + b (m is the slope and b the y- intercept )
here slope m = - 1 , then
y = - x + b ← is the partial equation
to find b substitute (- 3, - 1 ) into the partial equation
- 1 = 3 + b ⇒ b = - 1 - 3 = - 4
y = - x - 4 ← equation of line
with m = - 1 and b = - 4
What is the sum and classification of StartFraction 3 Over 20 EndFraction + StartRoot 10Which is the decimal expansion of StartFraction 7 Over 22 EndFraction?EndRoot?
The sum of the fraction given in decimal will be 3.46.
How to calculate the fraction?It should be noted that the information is for us to simply add the values that are given.
This will be:
= 3/20 + ✓10
= 0.3 + 3.16
= 3.46
Therefore, the sum of the fraction given in decimal will be 3.46.
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Carlos sold 7 cherry pies and 4 blackberry pies for a total of $71. Elisa sold 3 cherry pies and 4 blackberry pies for a total of $51. What is the cost each of one cherry pie and one blackberry pie?
The cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.
Let the cost of cherry pies be x and the cost of blackberry pies be y.
In case of Carlos, we get the equation as:
7 x + 4 y = 71 …(1)
In case of Elisa, we get the equation as:
3 x + 4 y = 51
4 y = 51 - 3 x …(2)
Put equation (2) in equation (1)
7 x + 51 - 3 x = 71
4 x = 71 - 51
4 x = 20
x = 20 / 4
x = 5
4 y = 51 - 3 (5)
4 y = 51 - 15
4 y = 36
y = 36 / 4
y = 9
Therefore, we get that, the cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.
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Anna is saving some money. She started with $350 and continues to save an additional $25 a month. 4 Write an algebraic expression that represents the total amount that she saves after m months.
Answer:
y = 25m + 350
Step-by-step explanation:
She already has 350 and every month she will add an additional 25
Answer:
Anna saving her money from m months is 375
How is the graph of the parent function y=1/x transformed to create the graph of y=-1/3x?
It is horizontally stretched by a factor of 3 and reflected over the y-axis.
A. It is translated 3 units down and reflected over the x-axis.
B. It is horizontally compressed by a factor of 3 and reflected over the x-axis.
C. It is translated 3 units down and reflected over the y-axis.
D. It is horizontally stretched by a factor of 3 and reflected over the y-axis
It is horizontally compressed by a factor of 3 and reflected over the x-axis.
How to determine the transformation?The parent function is given as:
y = 1/x
When the above function is compressed by a factor of 3, the function becomes
y = 1/3x
Next, when the above function is reflected over the x-axis or the y-axis, the function becomes
y = -1/3x
Hence, the transformation is (b) it is horizontally compressed by a factor of 3 and reflected over the x-axis.
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Answer:
The qzz answers to whole thing for "transformations of functions" on Edg. is the following:
1) B
2) A
3) A
4) B
5) B
6) C
7) C
8) A
9) D
10) B
Step-by-step explanation:
Trust me! I got 100% :)
Mr. Sid spends 2 5 of his salary on food and 3 10 of the remaining on house rent and electricity. If he keeps the remaining part of his salary as savings, what fraction of his salary does he save?
The fraction of his salary he does save is 3/10, on the basis that Mr. Sid spends 2/5 of his salary on food and 3 10 of the remaining on house rent
What fraction of total salary is saved?
The fraction of the salary saved means the proportion of total salary that is neither spent on food nor on house rent, it can determined as the total salary minus the fractions spent on food and house rent respectively
If assume that the total salary is 1, when deducting 2/5 and 3/10 from 1 we can determine the part that is saved
savings=1-(2/5)-(3/10)
if lcm is 50, we would have the below
savings=(50-20-15)/50
savings=15/50
savings=3/10
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line is: 1.
How to Find the Slope of a Line?Slope of a line (m) = rise of the line / run of the line.
Given the line in the diagram, the image attached below shows the run of the line, which is the blue line, and the rise of the line, which is the red line.
Rise of the line = 2 units
Run of the line = 2 units
Slope of the line = 2/2
Slope of the line = 1
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Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Select all the statements that correctly represent this situation. 17.95x + 24 = 18.95x + 18
Cost of Kersey and Jeana is reported. x=6 that is when they each purchase a sweater and six pairs of pants.
Given that,
Kelsey spends $24 on a pullover and $17.95 each on numerous pairs of uniform pants. At a different store, Jeana purchases a sweater for $18 and several pairs of uniform pants for $18.95 apiece.
Cost for Kersey is reportedly;
$17.95 per pair of pants
$24 for each sweater
If there are x pants.
The overall price for Kersey is then;
17.95x + 24
Cost for Jeana, we are informed, is;
$18.95 for each pair of pants
Sweater price: $18
If there are x pairs of pants.
Therefore, Jeana's overall cost is;
18.95x + 18
In the following circumstances, their overall cost will be equal:
17.95x + 24 = 18.95x + 18
18.95x - 17.95x = 24 - 18
x = 6
Therefore, x=6 that is when they each purchase a sweater and six pairs of pants.
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Contains (5, 8) and is parallel to the graph of y = 7x - 6.
The required equation of the line is y = 7x–27.
The general equation of the line is y = mx + c.The given equation of the line is y = 7x–6.The slope (m) of the line is 7.The slope should be the same for another line to be parallel to this one.The required equation of line is of the form y = 7x + c.We know that the required line passes through the given point(5, 8).So, (5, 8) should satisfy the equation of the line.y = 7x + c8 = 7*5 + c8 = 35 + cc = –27Thus, the required equation for the line is y = 7x–27.To learn more about the slope, visit :
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Can someone help with this?
Answer:
10[tex]\sqrt{15}[/tex] + 21[tex]\sqrt{10}[/tex]
Step-by-step explanation:
-\sqrt{15}(-10-7\sqrt{6})
−
15
(−10−7
6
)
expand -sqrt15(-10-7sqrt6)
1 Expand by distributing terms.
-(-10\sqrt{15}-21\sqrt{10})
−(−10
15
−21
10
)
2 Remove parentheses.
10\sqrt{15}+21\sqrt{10}
10
15
+21
10
61% of men consider themselves professional baseball fans. you randomly select 10 men ask each if he considers himself a professional baseball fan. find the probability that the number who consider them themselves baseball fans is
The probability is 0.1932 that a randomly selected man considers himself a professional fan.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have been given data as:
The number of randomly selected men, n = 10.
Probability of success, that a randomly selected man considers himself a professional fan, p = 61% or 0.61
Probability of failure, that a randomly selected man does not consider himself a professional fan is:
⇒ q = 1 − p = 1 − 0.61= 0.39
The probability that the number of men who consider themselves professional fans is:
⇒ ⁿcₓpˣqⁿ⁻ˣ
Substitute exactly x = 5
⇒ ¹⁰c₅(0.61)⁵(0.39)¹⁰⁻⁵
⇒ ¹⁰c₅(0.61)⁵(0.39)⁵
⇒ 0.1932
Therefore, the required probability is 0.1932.
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in a random sample of 66 residents of the state of maine, the mean waste recycled per person per day was 1.31.3 pounds with a standard deviation of 0.450.45 pounds. determine the 95�% confidence interval for the mean waste recycled per person per day for the population of maine. assume the population is approximately normal. step 2 of 2 : construct the 95�% confidence interval. round your answer to one decimal place.
The confidence interval lies between (0.827754, and 1.77225).
What is confidence interval ?
An area created using fixed-size samples of data from a population( sample space) that follows a particular probability distribution is known as a confidence interval. A named population statistic is erected into the interval with a specified probability. A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 confidence position is the most popular, still other situations, similar to 90 or 99, are sometimes used when calculating confidence intervals. A confidence interval is a set of figures that we're nicely confident represent our true value. A named population statistic is erected into the interval with a specified probability.Here, sample mean x = 1.3
sample standard deviation s = 0.45
and sample size n = 6
The 95% confidence interval for the mean waste recycled
= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex] 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex]
= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X 2.57058 , 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex]X 2.57058
= (0.827754, 1.77225)
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What is the value of the following expression?: 6+32-5-7
O a. 44
O b. -12
C. 398
O d. 68
Answer:
44
Step-by-step explanation:
Rehan is on holiday in the USA.
Rehan buys
1 pair of trainers costing $60
The exchange rate is $1 = £0.749
Rehan says,
“The trainers cost less than £40”
Rehan is wrong.
Using a suitable approximation, estimate the cost of the trainers in pounds
The cost of the trainers in pounds which is $60 in the USA is £44.94
What is exchange rate?
The exchange rate between the dollar and the pound sterling is the amount at which both currencies exchange hands, I mean the amount of pound sterling that is given in lieu of $1, in this case, for every $1, the amount of pound sterling that is equivalent to it is £0.749, which means that on the basis of the exchange rate the value of trainers in pounds can be determined as shown in details below:
$1 = £0.749
$60=60*£0.749
$60=cost a pair of trainers=£44.94
In short, a pair of trainers selling for $60 in the USA should cost £44.94 based on the exchange rate of $1 = £0.749
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Two rectangular solar panels, A and B, are mathematically similar. Panel A has a diagonal of 90 centimetres and an area of 4020 square centimetres. A 90 cm B 125 cm A salesman claims that panel B, with a diagonal of 125 centimetres, will be double the area of panel A. Is this claim justified?
I just need the points gggggggg
How do I do this? How do I get from figure F to figure onto figure G?
Answer:
The answer would be to flip figure F across the y axis then across the x axis. It would then lie on figure G.
Step-by-step explanation:
Solve! Quickly, 25 points!
Answer:
can you resend the picture again because its not clear plss
Express the following volume as a monomial.
9m²n⁴
Answer:
3^2m^2n^4
Step-by-step explanation:
3^2m^2 * n^4
13 1. What is the volume of the cone shown below?
5 cm
13 cm
Note: The figure is not drawn to scale.
the volume of the cone when radius is cm and height is 13 cm is 340.34 cm³
What are derived units?
Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units.
Here, the given data for cone are :
radius of base r = 5 cm = 0.05 m
height of cone h = 13 cm = 0.13 m
Now, the volume V of cone is given by :
V = 1/3 πr²h
Now, finding the volume of cone by substituting the values in above equation :
V = 1/3 πr²h
V = 1/3 π x (5)² x 13
V = 340.34 cm³
Therefore, the volume of the cone is 340.34 cm³
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Two circles C₁ and C₂ have their centres at the point (3,4) and touch a third circle, C3.
The centre of C3 is at the point (0,0) and its radius is 2.
What is the sum of the radii of the two circles C₁ and C₂?
The sum of the radii of the two circles C₁ and C₂ is 4 units
Given data
Two circles C₁ and C₂ have their centres at the point (3,4)
The centre of C3 is at the point (0,0) and its radius is 2
And C1 and C2 is touching C3
How to find the sum of the radii of the two circles C₁ and C₂Since the two circles have same centre and touch a third circle at same point, The two circles have equal radius r
The distance, d from the origin using point x and y given is solved for as follows:
d^2 = x^2 + y^2
d^2 = 3^2 + 4^2
d^2 = 9 + 16
d^2 = 25
d = √25
d = 5
Radius if the two circles is 5 - 3 = 2
One of the radius is 2 hence sum of the two radii
= 2 + 2
= 4 units
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MARKING BRAINLEIST IF CORRECT
d ; x = 36 degrees
Step-by-step explanation:Straight angle = 180 degrees
The Acute angle = 2x
The Obtuse angle = 3x
2x + 3x = 180
5x = 180
x = 180/5
x = 36