which inequality represents the domain of the function A. all real numbers are greater than -6 and less than 8 B. all real numbers greater than -3 and less than or equal to 6 C. all real numbers greater than or equal to -6 and less than 8 D. all real numbers
Answers
we know that
The domain of the function is the set of all possible values of x
In this problem we have that
The domain is the interval {-6,8)
so
\(-6\leq x<8\)therefore
the answerr is
option C. all real numbers greater than or equal to -6 and less than 8
Related Questions
Leila has a bookcase with 4 shelves.there are b books on each shelf .using b write an expression for the total number of books.
Answers
Answer: 4b
Explanation:
From the information given,
the book case has 4 shelves. If there are b books on each shelf, an expression for the total number of books is
4 * b
= 4b
Lines l and m are parallel and intersect transversal p, as shown in the diagram below.
What is the value of n?
A 6
B 10
C 20
D 24
Answers
Explanation: believe me
what is the surface area of a sphere with a radius of 12 centimeters
A) 302cm^2
B) 452cm^2
C) 576cm^2
D) 1810cm^2
Answers
The surface area of the sphere is 1810 cm²
What is a sphere?A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of sphere is expressed as;
A = 4πr². where r is the radius.
A = 4 × 3.14 × 12²
A = 1809.7 cm²
approximately to the nearest whole number
A = 1810 cm²
Therefore the surface area of the sphere to the nearest whole number is 1810 cm².
learn more about surface area of sphere from
https://brainly.com/question/1293273
#SPJ1
The Jones family want to enclose the garden with a fence. To the nearest foot (round to the nearest whole number), how much fencing will they need to buy?
Answers
Answer:
hey hun, I think u need to give us more information on the question. Is that the full question ??
A local road rises 15 feet for every 309 feet of highway . What is the slope of the highway
Answers
What is the value of y in this figure?
Y =
Answers
Answer: 163
Step-by-step explanation: y is vertical to 163, meaning that it is equal to 163
Determine the equation of the circle with radius 9 and center ( − 1 , − 8 ).
Answers
The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8 )² = 81.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
( x - h )² + ( y - k )² = r²
Given that the circle has a center of (-1, -8) and the radius is 9.
Hence; from the standard form of the equation of the circle:
Center ( h , k ) = ( -1, -8 )
h = -1
k = -8
And radius r = 9
Plug these values into the above formula and simplify.
( x - h )² + ( y - k )² = r²
( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²
Simplify
( x + 1 )² + ( y + 8 )² = 81
Therefore, the equation of the circle is ( x + 1 )² + ( y + 8 )² = 81.
Learn more about equation of circle here: brainly.com/question/29288238
#SPJ1
A lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The costs per pound of the three types of seed are 12 cents, 14 cents, and 3 cents, respectively. In each batch there must be at least 25% bluegrass seed, and the amount of Bermuda must be no more than 2/3 the amount of rye. To fill current orders, the company must make at least 6000 pounds of the mixture. How much of each kind of seed should be used to minimize cost
Answers
Answer:
612 dollars
Step-by-step explanation:
From the given information:
Amount of the total mixture = 6000 pounds
Also, for each batch, there needs to be at least 25% bluegrass seed.
It implies that:
In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.
The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.
Suppose the amount of rye seeds = x pounds
while that of Bermuda is (4500 - x) pounds
Then, since the amount of Bermuda contains no more than 2/3 of that of rye.
The equation can be written as:
\(( 4500 - x) = \dfrac{2x}{3}\)
13500 - 3x = 2x
13500 = 5x
\(x = \dfrac{13500}{5}\)
x = 2700
Now, the amount of rye seed = 2700 pounds
while that of Bermuda seed = 4500 - 2700 = 1800 pounds
However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.
So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents
For rye seed; cost of 1 pound = 14 cents
the cost of 2700 rye seeds = 14 × 2700 = 37800 cents
For Bermuda seed; cost of 1 pound = 3 cents
the cost of 1800 rye seeds = 3 × 1800 = 5400 cents
The total amount = (18000 + 37800 + 5400) = 61200 cents
Recall that:
100 cents = 1 dollars
61200 cents = x dollars
x = 61200 cents/100 cents
x = 612 dollars
Thus, the minimum cost is 612 dollars.
what the facters of 18
Answers
☽------------❀-------------☾
Hi there!
~
\(1, 2, 3, 6, 9, 18\)
The factor pairs of 18 are:
\(1 \times 18 = 18\\2 \times 9 = 18\\3 \times 6 = 18\)
❀Hope this helped you!❀
☽------------❀-------------☾
Answer:
1, 2, 3, 6, 9, 18
Step-by-step explanation:
1*18=18
2*9=18
3*6=18
There are no other factors, Hope this helps!!
The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
Answers
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
To learn more about sphere click :
https://brainly.com/question/27933834
#SPJ1
The bill in a restaurant is $102.25. A tip of 20% is added to the bill. What id tyhe final amount paid?
Answers
Answer: $117.59
Step-by-step explanation:
A circle with a radius of 7 feet is cut into 6 equal pieces. How many square feet are 2 of the pieces? Use 22 over 7 for π.
A. 7 and one third square feet
B. 14 and two thirds square feet
C. 51 and one third square feet
D. 205 and one third square feet
Answers
The circle with a 7 feet radius cut into 6 equal sectors, indicates, using 22/7 approximation for pi, that the area of 2 of the pieces is 51 and one third square feet. The correct option is option C.
C. 51 and one third square feet
What is a sector of a circle?A sector of a circle is a pie shaped part of a circle that is bounded by an arc and two radii of the circle.
The specified radius of the circle, r = 7 feet
The number of pieces to which the circle is cut into = 6 equal pieces (sectors)
The area of 2 of the pieces, using 22/7 as an approximation for π are found as follows;
Area of a circle, A = π × The square of the radius
Therefore; A = π × r²
A = (22/7) × 7² = 154
The area of the circle is about A = 154 square feet
The area of one of the pieces into which the circle is cut is therefore;
Area of a piece = A/6
Area of one piece = (154 square feet)/6 = 25 and two thirds square feet
The area of 2 of the pieces = 2 × (A/6) = A/3
Therefore, the area of two of the pieces = (154 square feet)/3 = 51 1/3
The area of 2 of the pieces = \(51\frac{1}{3}\) square feet
Option C is correct
C. 51 and one third square feet
Learn more about the area of a sector of a circle here: https://brainly.com/question/29140580
#SPJ1
Using the 22/7 approximation for pi, the circle with a radius of 7 feet divided into 6 equal sectors shows that the area of 2 of the sections is 51 and a third square feet. Option C is the one that is right.
51 and a third square feet in C.
Use the graph of the rational function to complete the following statement.
Answers
Using the graph of the function, it is found that the lateral limits of the function are as follows:
As \(x \rightarrow 1^{+}\), \(f(x) \rightarrow -\infty\).As \(x \rightarrow 1^{-}\), \(f(x) \rightarrow \infty\).What are the lateral limits of the function at x = 1?For \(x \rightarrow 1^{+}\), we look at the values slightly greater than 1, that is, to the right of x = 1, for which the function goes to negative infinity, hence \(f(x) \rightarrow -\infty\).
For \(x \rightarrow 1^{-}\), we look at the values slightly less than 1, that is, to the left of x = 1, for which the function goes to infinity, hence \(f(x) \rightarrow \infty\).
More can be learned about lateral limits at https://brainly.com/question/26270080
A picture measures 60 cm by 30 cm. The mat around the picture is 6 cm wide.
Find the area of the mat.
Answers
Answer:
1224 cm²
Step-by-step explanation:
The picture is a rectangle with length 60 cm and width 30 cm.
area of rectangle = length × width
area of picture = 60 cm × 30 cm = 1800 cm²
Now we add the mat to the picture. The width of the mat is 6 cm, so when you add mat to two opposite sides, the total length of the picture and mat becomes 60 cm + 6 cm + 6 cm = 72 cm. When you add mat to the other two opposite sides, the total width of the picture and mat becomes 30 cm + 6 cm + 6 cm = 42 cm. Now we have a rectangle 72 cm by 42 cm.
area of picture and mat = 72 cm × 42 cm = 3024 cm²
The area of the mat is the difference in area between the picture with mat and the picture without mat.
area of mat = 3024 cm² - 1800 cm² = 1224 cm²
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
Answers
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
Learn more about LCM here :
https://brainly.com/question/6756370
#SPJ1
=
Solving a word problem on proportions using a unit rate
Ashley made $342 for 18 hours of work.
At the same rate, how many hours would she have to work to make $152?
O
hours
Х
?
Answers
Answer: 8 hours
Step-by-step explanation: First, find the unit rate. For one hour of work, she earns 0.05263157894. Multiply this number 152.
g A zoologist spots what might be a rare subspecies of beetle, due to the pattern on its back. In the rare subspecies, 98% have the pattern. In the common subspecies, 5% have the pattern. The rare subspecies accounts for 1% of the population. Given that a beetle has the pattern, what is the probability that it belongs to the rare subspecies
Answers
Answer:
Given that a beetle has the pattern, 0.098 is the probability that it belongs to the rare subspecies
Step-by-step explanation:
Probability of having a pattern in rare subspecies \(= 0.98\\\)
Percentage of rare subspecies = 1 % = 0.01
Probability of a beetle with pattern belonging to rare subspecies is
\(=0.01 * 0.98 \\= 0.098\)
HELP ASAAAP
This scatter plot shows the recommended number of hours of sleep for people and their ages.
The equation represents the linear model for this data.
y=−0.25x+13
According to the model, what is the recommended amount of sleep for a 25-year-old person?
Answers
According to the model, the recommended amount of sleep for a 25-year-old person is equal to 6.75 hours of sleep.
What is a line of best fit?In Mathematics and Statistics, a line of best fit is also referred to as a trend line and it can be defined as a statistical or analytical tool that is typically used by researchers and mathematicians in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.
Based on the scatter plot, we can logically deduce that a linear equation which represents the line of best fit include the following:
y = -0.25x + 13
For a 25 years old person, the recommended hours of sleep can be calculated as follows;
y = -0.25x + 13
y = -0.25(25) + 13
y = -6.25 + 13
y = 6.75 hours of sleep.
Read more on line of best fit here: brainly.com/question/12284501
#SPJ1
solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
Answers
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
for such more question on equations
https://brainly.com/question/17482667
#SPJ8
a group of mapuve CLC MLMS4 STUDENTS were questioned how they got to school.half of the students said they walk, one-third said they take a taxi,and the rest claimed they drive.calculate the number of students delivered by a car using proper fractions
Answers
The fraction of those who were delivered by car will be 1/6.
How to calculate the fraction?It should be noted that from the information given, the students were questioned on how they got to schoo and half of the students said they walk, one-third said they take a taxi,and the rest claimed they drive.
Therefore, the fraction of those who were delivered by car will be:
= 1 - (1/2 + 1/3)
= 1/2 - 5/6
= 1/6
In conclusion, the fraction of those who were delivered by car will be 1/6.
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
Find the slope of the line that passes through each pair of points
#1 (-2,-5) (-7,10)
#2 (-2, -11) (5,6)
#3 (6,3), (-9,-11)
Answers
On Saturday, Ahmed walks his dog 0.5 mile. On the same day, Latisha walks her dog 0.7 times as far as
Ahmed walks his dog.
How far does Latisha walk her dog on Saturday?
Latisha walks her dog mile(s) on Saturday. I have it due by tomorrow at 7 am please help, don’t put the links!!
Answers
What is the definition of correspondence?
Answers
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.
Hope it helps!
Brainliest pls!
Follow me! :)
Answer:
The definition of correspondence is the act of conforming or agreeing with someone or something else. An example of correspondence is when a person acts in the same way she appears to think.
In simple terms, it means communication, generally looking at two things and identifying stuff about them
Hope that helps. x
Which is equivalent to-2(4-3x)+ (5x-2)
Answers
Answer:
Step-by-step explanation:
-2(4-3x)+(5x-2)
-8+6x+5x-2
11x-10
i need help with this question and i need it today?!?
Answers
a) A
b) 2.6 + 10.4 = x
c) x = 13
Hope that helps :)
7/4+1/2+5/3+1/3+1/4+1/2
Answers
7/4=1.75
1/2=0.5
5/3=1.67
1/3=0.33
1/4=0.25
1/2=0.5
1.75+0.5+1.67+0.33+0.25+0.5=5
The final answer is 5
HELP A BROTHER OUT!! IVE BEEN STUCK ON THESE 2 QUESTIONS
Answers
What is X?
I’m at a loss
Answers
Answer:
9
Step-by-step explanation:
5x-3= 2x+24
5x=2x+27
3x=27
X=9
Answer: A. 9
Step-by-step explanation:
The diagonal is bisected by the other diagonal. So the 2 parts of the diagonal are equal
5x - 3 = 2x + 24 >Bring like terms to 1 side
3x = 27 >Divide both sides by 3
x = 9
Write the expression in exponent form.
(9)(9)9)(9)(9)
Answers
Answers
9^5
please make me brainlist
Answer:
9^5
Step-by-step explanation:
PLZ HELP WILL GIVE V=BRIANLYEST
Answers
i also agree to this question
Answer:
i also agree to this question
Step-by-step explanation: