Answer:
B
Step-by-step explanation:
The range is the set of y-values for which the function is defined.
** Attached is the graph of the function
By looking at the graph, we can clearly see that there aren't any y-values that is not permitted in the graph. The function is defined for all y-values. Hence the range is set of all real numbers, or, the range is (-∞, +∞)
Answer choice B is right.
Final answer:
The range of the reciprocal function 1/x is all real numbers except zero, expressed in interval notation as (-∞, 0) ∪ (0, +∞).
Explanation:
The range of the reciprocal function, which is denoted as 1/x, can be understood by considering the behavior of the function as x approaches different values. As x approaches zero from the positive side (x → 0+), the reciprocal 1/x becomes increasingly larger, theoretically 'going to infinity' (∞). Similarly, as x approaches zero from the negative side (x → 0-), 1/x becomes increasingly negative, 'going to negative infinity' (-∞). Thus, the range of the reciprocal function excludes zero, but includes all other real numbers. In interval notation, the range is expressed as (-∞, 0) ∪ (0, +∞).
Given the system of linear equations.
-x + y = 5, 4x + y = 10
Answer:
x = 1 and y = 6Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}-x+y=5\\4x+y=10&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-x+y=5\\-4x-y=-10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-5x=-5\qquad\text{divide both sides by (-5)}\\.\qquad x=1\\\\\text{put the value of x to the first equation}\\-1+y=5\qquad\text{add 1 to both sides}\\y=6[/tex]
Erin discovered a relationship between numbers. The Venn diagram shows how Erin sorted a group of numbers. Using the Venn diagram, where should Erin put the number 49?
Answer:
W
Step-by-step explanation:
On the venn diagram, you can see that everything in the W section is a multiple of 7. Everything in the Z section is an even number and everything in Y(the middle section) is both an even number and a multiple of 7. Since 49 is a multiple of 7 but not an even number, it would go in the W section.
The number 49 should be placed in the 'W' portion of the venn diagram
From the venn diagram, we can make the following inference;
W = 7, 21, 35
Y = 14, 28
Both W and Y contains numbers that are multiples of 7
Y contains numbers that are even numbers which are multiples of 7
W contains numbers that are odd and are multiples of 7
The number 49 is also a multiple of 7 and odd.
Hence, 49 would belong to the 'W' portion of the Venn.
A preschool playground has both bicycles and tricycles. There is a total of 30 seats and 70 wheels. how many bicycles are there? how many tricycles are there?
Answer:
20 bicycles and 10 tricycles.
Step-by-step explanation:
Let the number of bicycles and tricycles be x and y respectively.
Each vehicle has 1 seat. Each bicycle 2 wheels and each tricycle 3 wheels.
Then we have the system of equations:
x + y = 30 ............ (1)
2x + 3y = 70.........(2)
Multiply the first equation by -2:
-2x - 2y = -60......(3)
Adding (2) + (3):
y = 10
Substituting for y in equation (1):
x + 10 = 30
x = 20.
By simultaneous equation, there are a total of 20 bicycles and 10 tricycles.
What is the number of given quantity from simultaneous equation ?Let the number of bicycles and tricycles be x and y respectively.
It is given that there is a total of 30 seats and 70 wheels.
Each vehicle has 1 seat. Each bicycle 2 wheels and each tricycle 3 wheels.
Then we have the system of simultaneous equations:-
x + y = 30 ............ (1)
2x + 3y = 70.........(2)
Multiply the first equation by -2:
-2x - 2y = -60......(3)
Adding (2) + (3):
y = 10
Substituting for y in equation (1):
x + 10 = 30
x = 20.
Therefore, by simultaneous equation, there are a total of 20 bicycles and 10 tricycles.
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Please help me! WILL MARK BRAINLIEST. Thanks!
Answer:
For the first table: (0, 10) (1, 15) (2, 20) (3, 25) (4, 30)
For the second table: (-2, 1.04) (-1, 1.2) (0, 2) (1, 6) (2, 26)
For the third table: (-2, 10) (-1, 0) (-1/2, -5/4) (1, 10)
Step-by-step explanation:
What is the value of z in the equation 2(4z -9 -7) = 166 -46?
A. 19
B. 21
C. 26
D. 34
10 points for the answer.
Answer:
A. 19
Step-by-step explanation:
2(4z -9 -7) = 166 -46
First combine like terms
2(4z -16) = 120
Divide each side by 2
2/2(4z -16) = 120/2
4z-16=60
Add 16 to each side
4z-16+16 = 60+16
4z = 76
Divide each side by 4
4z/4 = 76/4
z = 19
what is the formula for area of a triangle
Answer:
A = [tex]\frac{1}{2}[/tex]bh
Step-by-step explanation:
The area of a triangle is defined as half the product of its base by its height.
A = [tex]\frac{1}{2}[/tex]bh
If you do not know the height but you know the length of the three sides of the triangle you can use Heron's formula to find the area
If the lengths of the sides are a, b, c then the area is
[tex]A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where
[tex]s =\frac{a+b+c}{2}[/tex]
You do length x width (for triangles its called base x height) and divide the product by 2
A team of runners ran a relay race. Each runner ran 7 1/2 kilometers. The total length of the race was 45 kilometers. Write and solve an equation to find how many runners were on the team. *
Answer:
6 runners
Step-by-step explanation:
Each runner ran 7.5 km. If there were n runners, then (7.5 km)n = 45 km.
Solve this for n by dividing 7.5 km into 45 km:
n = 6
There were 6 runners.
The product of two whole numbers is 180 and their sum is36. What are the two numbers?
Answer:
6,30
Step-by-step explanation:
The product of two whole numbers is 180
xy = 180
and their sum is 36
x+y = 36
x = 36-y
Substitute this into the first equation
(36-y) (y) = 180
36y - y^2 = 180
Add y^2 to each side
36y = 180 +y^2
Subtract 36y from each side
0 = y^2 -36y +180
Factor
0=(y-6) (y-30)
Using the zero product property
y-6 =0 y-30 =0
y = 6 y= 30
Now we need to find x
If y =6
x = 36-6=30
If y = 30
x = 36-30=6
The two numbers are 30 and 6
how do you work out 12÷6×2-2²
For this case we must use the order of algebraic operations according to the PEMDAS method:
P: Parentesis
E: Exponential
MD: Multiplication and division from left to right
AS: Addition and subtraction from left to right
We have:
12÷6×2-[tex]2 ^ 2[/tex] =
12÷6×2-4 =
2×2-4 =
4-4 =
0
Answer:
0
Answer:
0
Step-by-step explanation:
Lesson: Order of operationsPEMDAS
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
Do exponent first.
12÷6*2-2²
2²=2×2=4
12÷6×2-4
Multiply and divide from left to right.
12÷6×2
12÷6=2
2×2=4
4-4
Subtract from left to right.
4-4=0
0 is the correct answers.
I hope this helps you, and have a wonderful day!
Consider a triangle A B C
like the one below. Suppose that
, C= 105 a=67 b=37
, and
. (The figure is not drawn to scale.) Solve the triangle. A B C are on the points of the triangle
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
c= A= B=
Answer:
sorry, that is a very complex question
Step-by-step explanation:
it had to be more tjan 20 characters
someone plz help me
Answer:Which one do you need help with
Step-by-step explanation:
1. 5 Folder 5 Pen = yes
6 Pen 6 Eraser = Yes
1 Pen 4 Notebook = No
3 Folder 7 Eraser = No
4 Folder 2 Notebook = Yes
work out the area of this quarter circle of radius 8cm, Give you answer in terms of pi
Answer:
The area of the quarter circle is [tex]16\pi\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of a quarter circle is equal to
[tex]A=\frac{1}{4}\pi r^{2}[/tex]
we have
[tex]r=8\ cm[/tex]
substitute the value
[tex]A=\frac{1}{4}\pi (8)^{2}[/tex]
[tex]A=16\pi\ cm^{2}[/tex]
The area of a quarter circle with a radius of 8cm is 16π square cm. This result is obtained by first calculating the area of a full circle using the formula A = πr² and then dividing by 4 (since a quarter circle is one-fourth of a full circle).
Explanation:The area of a full circle is given by the formula A = πr², where 'r' is the radius of a circle and 'π' is a mathematical constant, approximately 3.14. However, we are dealing with a quarter circle, not a full circle. A quarter circle is simply one-fourth of a full circle. Therefore, you have to divide the area of the full circle by 4 to get the area of the quarter circle.
So here's how you calculate the area of the quarter circle having a radius of 8cm:
First calculate the area of the full circle: A = πr² = π * 8² = 64π square cm. Then calculate the area of the quarter circle: Quarter Circle Area = A/4 = 64π/4 = 16π square cm.So, the area of the quarter circle with a radius of 8 cm is 16π square cm.
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Find the measure of a central angle of a regular polygon with 10 sides
Answer:
114 degrees
Step-by-step explanation:
The formula to find the measure of all angles in a regular polygon is [tex](n-2)180[/tex], where n = total number of sides.
Thus, we substitute n for 10, and you get:
[tex](10-2)180=1440[/tex]
If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.
A central angle in a regular ten-sided polygon would be 144 degrees.
Final answer:
The central angle of a regular polygon with 10 sides (a decagon) is calculated by dividing 360° by the number of sides, resulting in a central angle of 36°.
Explanation:
To find the measure of a central angle of a regular polygon with 10 sides (a decagon), we use the formula for the measure of each central angle:
Central Angle = 360° / Number of sides
Thus, the central angle of a regular decagon is:
360° / 10 = 36°
This is because the central angles are equally distributed around the center point, dividing the 360° of a circle evenly by the number of sides in the polygon.
What is the area of this trapezoid 6m 5m 3m 1m
The answer depends on which measure is the height and both bases.
What is the solution to the system of equations y = -x - 5 and y = 2x + 4
Answer:
(-3,-2)
Step-by-step explanation:
y = -x - 5
y = 2x + 4
plug in one of the y equations
(2x+4)= -x - 5
2x+4=-x-5
3x=-9
x= -3
plug in x to one of the y equations
y= -(-3) -5
y=3-5
y= -2
x= -3, y= -2
solve by factoring:
5t=t ^2
Answer:
t=0 and t=5
Step-by-step explanation:
5t = t^2
Subtract 5t from each side
5t-5t = t^2 -5t
0= t^2 -5t
Factor out a t
0= t(t-5)
Using the zero product property
t=0 and t-5 =0
t=0 and t-5+5=0+5
t=0 and t=5
What value makes this equation true? 4x-3=0?
Answer:
x = 3/4
Step-by-step explanation:
4x-3=0
Add 3 to each side
4x-3+3 = 0+3
4x = 3
Divide each side by 4
4x/4 = 3/4
x = 3/4
Answer: X = 3/4
Solution:
Move the constant to the right side and change its sign, then divide both sides by four:
4x - 3 = 0 --> 4x = 3 --> (4x/4) = (3/4)
X = 3/4
Find the solution to the equation -2(x + 5) = -16. x =
Answer:
x = 5/7 = 0.714
Step-by-step explanation:
Answer is 5/7 = 0.714
See photo
P L E A S E H E L P ! ! !
Translate each verbal sentence/phrase into an algebraic expression or equation.
1. The product of a number x and 6 is 21
2. The sum of the quantity x- 3 and y
3. The quotient of x and z is y
4. The difference of 2 and x is p.
Answer:
1) 6x = 21
2) x + y - 3
3) x/z = y
4) 2-x = p
Step-by-step explanation:
1. The product of a number x and 6 is 21
A product is a multiplication. A product of a and b is a * b.
We then have a product of x and 6, that x * 6, which we write usually in the format 6x.
is 21: that means it's equal to 21....
so 6x = 21.
2. The sum of the quantity x- 3 and y
The sum is an addition. The sum of a and b is a + b.
In this case, the first part is x - 3, the second part is y
So, x - 3 + y, which we usually rewrite as x + y - 3
3. The quotient of x and z is y
A quotient is a division.
So, quotient of x and z is x/z.
x/z = y
4. The difference of 2 and x is p.
A difference is a subtraction.
Difference of 2 and x is 2 - x
2 - x = p
The verbal sentences/phrases are translated into algebraic expressions or equations as: 1) 6x = 21, 2) (x - 3) + y, 3) y = x/z, and 4) p = 2 - x. Each expression/equation captures a different mathematical relationship, such as product, sum, quotient, and difference.
Explanation:To translate each verbal sentence/phrase into an algebraic expression or equation, we will take them one at a time:
The product of a number x and 6 is 21: This can be translated into the equation 6x = 21.The sum of the quantity x - 3 and y: The algebraic expression for this is (x - 3) + y.The quotient of x and z is y: This corresponds to the equation x/z = y, or as an expression, y = x/z.The difference of 2 and x is p: This translates to the equation p = 2 - x.Remember to check your final expressions or equations to ensure they make sense and are simplified where possible.
The equation h(t)=-16t^2+25t+80 gives the height of a ball in feet T seconds after it is thrown from a platform. What is the initial velocity when the ball is thrown?
Answer:
25
Step-by-step explanation:
-16t^2+vt+s
v=initial velocity
A bicyclist covered 5/7 of his route and an additional 40 miles. He has yet to cover 118 miles less than 0.75 of his route. How long is his route in miles?
Answer:
168 miles.
Step-by-step explanation:
5/7x+40+0.75x−118=x
Step 1: Simplify both sides of the equation.
5/7x+40+0.75x−118=x
5/7x+40+0.75x+−118=x
(5/7x+0.75x)+(40+−118)=x(Combine Like Terms)
1.464286x+−78=x
1.464286x−78=x
Step 2: Subtract x from both sides.
1.464286x−78−x=x−x
0.464286x−78=0
Step 3: Add 78 to both sides.
0.464286x−78+78=0+78
0.464286x=78
Step 4: Divide both sides by 0.464286.
0.464286x/0.464286=78/0.464286
x=168
The total length of the bicyclist's route is 560 miles. This is solved by setting up an equation based on the given information and solving for the total route length.
Explanation:To solve this problem, we first need to represent the problem using equations by setting X as the total route. We know that the bicyclist has already covered 5/7 of his route and an additional 40 miles. So, the part of his route he has already covered is expressed as [tex](5/7)X + 40.[/tex]
We also know that he has yet to cover 118 miles less than 0.75 of his route, so the part of the route that he has yet to cover is expressed as 0.75X - 118. Since the parts of the route already covered and yet to be covered add up to be his entire route (X), we can set up the equation as follows: ([tex](5/7)X + 40 = 0.75X - 118[/tex]. By solving this equation, we find that X (the total length of his route) equals 560 miles.
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how many solutions does -3x+7=3x+7
I think it's either 21+4×6-1=9 or 2+6×8-6=7
Answer:
One solution
Step-by-step explanation:
Adding 3x to both sides results in 7 = 6x + 7, or 6x = 0. There is one solution, and that solution is x = 0.
What is the volume of the cylinder below
Answer: D)
Step-by-step explanation: this is because you find the area of the circle which is pi times radius squares. So the area of the circle is 16 pi. And the. You have to multiply by 7 because you are staking the circle 7 times. To get 122 pi which is the answer so the answer is D. :)
The value of the volume of the cylinder is,
V = 96π units³
What is cylinder?A cylinder is a three-dimensional solid that maintains, at a given distance, two parallel bases connected by a curved surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centres of the two bases.
We have to given that;
Radius of cylinder = 4 units
Height of cylinder = 6 units
Since, The value of volume of cylinder is,
⇒ V = πr²h
Hence. The value of the volume of the cylinder is,
V = π (4²) × 6
V = 16 × 6 π
V = 96π units³
Thus, The value of the volume of the cylinder is,
V = 96π units³
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What is the missing reason in the proof?
Answer:
Try A or D
Step-by-step explanation:
I did this last semester (I know my age is 32 I didn't know if you had to be over 18 or 21 so I guessed a year and aimed a little to high...) I think it is either A or D
Answer:
Its A (APEX)
Step-by-step explanation:
Create a histogram for the data set. Click and drag on the horizontal axis to adjust the heights of the bars. 81, 65, 2, 24, 25, 44, 97, 12, 38, 37
Create a histogram for the data set. Click and drag on the horizontal axis to adjust the heights of the bars.
81, 65, 2, 24, 25, 44, 97, 12, 38, 37
1-20 mark goes on 2
21-40 marks goes on 4
41-60 mark goes on 1
61-80 mark goes on 1
81 -90 mark goes on 1
The histogram for the data set (2, 12, 24, 25, 37, 38, 44, 65, 81, 97) is given below.
1 - 20 mark goes on 221 - 40 mark goes on 441 - 60 mark goes on 161 - 80 mark goes on 181 - 100 mark goes on 2What is a histogram data set?A histogram is a graphical depiction of data distribution in statistics. The histogram is made up of a series of neighboring rectangles, each representing a different type of data.
The horizontal axis adjusts the heights of the bars.
81, 65, 2, 24, 25, 44, 97, 12, 38, 37
Arrange the data set in ascending order.
2, 12, 24, 25, 37, 38, 44, 65, 81, 97
Then the histogram for the data set will be given below.
1 - 20 mark goes on 2
21 - 40 mark goes on 4
41 - 60 mark goes on 1
61 - 80 mark goes on 1
81 - 100 mark goes on 2
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evaluate the following expression 5(1 3)-3(2 -1)
The equation 5(1 + 3) - 3(2 - 1) when solved gives the final result 17.
To evaluate the expression 5(1 + 3) - 3(2 - 1), you need to follow the proper order of operations, which consists of parentheses first, then multiplication or division (from left to right), and finally addition or subtraction (also from left to right).
First, simplify the expressions inside the parentheses:
(1 + 3) = 4(2 - 1) = 1Next, multiply each result by the number outside the parentheses:
5(4) = 203(1) = 3Now subtract the second result from the first:
20 - 3 = 17The evaluated expression is 17.
HELP ASAP
Explain how to create a graph to model the relationship between the 2 quantities in the table.
please write the answer
Step-by-step explanation:
the x (hours) is the x axis and the d (dollars) is the y axis. On the x axis count by 1's and on the y axis count by 25's. To plot each point go to hour and then dollars.
Answer:
Use the values in the table to create ordered pairs. Label the x-axis with the independent variable, hours. Label the y-axis with the dependent variable, dollars. Plot the ordered pairs on the graph. If the variables can be represented as fractional parts you can draw a line from the origin that connects the points.
Step-by-step explanation:
sample response
The average man takes 7192 steps a day about how many steps does the average man take in a year
Answer:
2625080
Step-by-step explanation:
The average man takes about 2,625,080 steps in a year, assuming 365 days in a non-leap year.
As we know:
No. of days in a year = 365 days ( non-leap year)
Given:
No. of steps the average man takes = 7192 steps in a day
So, in a year he will take:
7192 steps/day × 365 days/year
= 2,625,080 steps/year
So, the average man takes about 2,625,080 steps in a year.
Note: This calculation assumes a non-leap year with 365 days.
Please help I don’t understand I will give BRAINLIEST!!! I have state testing tomorrow and need to know picture included!!!!
my answer got deleted earlier, and I lost my Brainliest, so can I please get it back?
Answer: 5, 5
Step-by-step explanation: On the first spinner, the number 5 is located in the top-right corner.
On the second spinner, the two number 5s are i the top-right and right areas.
There are 25 students in Mrs. Venetozzi’s class at the beginning of the school year, and the average number of siblings for each student is 3. A new student with 8 siblings joins the class in November.
Adding the student with eight siblings will increase the class average amount of siblings because this student has more siblings than the average.
The new class average for number of siblings is 3.19
Therefore, the average number of siblings that each student has is larger than the original average.
Answer:
The average will go up.
Step-by-step explanation: