Answers
Answer:
The range of the function is: -∞≤y≤∞.
Consider the provided function.
The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.
The range of a cubic root function is all real numbers.
Now consider the provided function.
The above function can be written as:
Taking cube on both sides.
The graph of the function is shown in figure 1:
For any value of x we can find different value of y.
Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is -∞≤y≤∞ .
Therefore, the range of the function is: -∞≤y≤∞ (A).
Related Questions
A/An is a type of blood cell that's also called a red blood cell. a) Jeukocyte O b) thrombocyte c) plasma d) erythrocyte
Answers
Answer:
opt. (d)
Step-by-step explanation:
red blood cell, also called erythrocyte, cellular component of blood, millions of which in the circulation of vertebrates give the blood its characteristic colour and carry oxygen from the lungs to the tissues.
A label is twice as long as it is wide. If the length of the label is 10 cm, find the
area of the label.
O 20 square centimeters
O 50 square centimeters
O 60 square centimeters
O 70 square centimeters
Answers
Answer:
50 square centimeters
Step-by-step explanation:
Long means length, and we know the length of the label, 10 centimeters. That means the width is half of 10 centimeters, or 5 centimeters. Now, we multiply 10 and 5 to get 50. That means the area of the label is 50 square centimeters
The function p(x) is an odd degree polynomial with a negative leading coefficient.
If q(x)=x^3+5x^2-9x-45, which statement is true?
A. As x approaches negative infinity, p(x) approaches positive infinity and q(x) approaches negative infinity.
B. As x approaches negative infinity, p(x) and q(x) approach positive infinity.
C. As x approaches negative infinity, p(x) and q(x) approach negative infinity.
D. As x approaches negative infinity, p(x) approaches negative infinity and q(x) approaches positive infinity.
Answers
what are all values of x such that 1-2/3x<=-3 is satisfied
Answers
The possible values of x will belong to the set A = [9, ∞).
We have the following inequality -
1 - 2x/3 ≤ -3
We have to determine all values of x.
What is Inequality ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
According to the question, we have the following inequality -
1 - 2x/3 ≤ -3
Subtract 1 from both sides -
-2x/3 ≤ -4
Multiply by -1 on both sides -
2x/3 ≥ 4
Multiply by 3/2 on both sides -
x ≥ 9
Hence, the possible values of x will belong to the set A = [9, ∞).
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i really need help please please
Answers
Answer:
I think the first answer is angle some property..
What way does f(x) shift for log (DWX) ?
Left, right, down, up?
Answers
The function f(x) can shift for log (w ± dx) in any of the four directions
How to determine the direction of shiftFrom the question, we have the following parameters that can be used in our computation:
log(DWX)
Express properly
log(w ± dx)
Where w and d are constants and x is the variable
The above function is a logarithmic function, and the parent function is
log(x)
The direction the function shifts is dependent on the values of w and d i.e.
w ± dx > 1 will shift the function right0 < w ± dx < 1 will shift the function leftAlso, the vertical shift depends on the w ± dxRead more about transformation at
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the diagram shows a square base cuboid 4cm by 10 cm work out the volume
Answers
Answer:
✨200 Cubic meters!✨
Step-by-step explanation:
To find the volume of a cuboid, we need to multiply its length, width, and height. In this case, we have:
Length = 10 cm
Width = 4 cm
Height = unknown (let's call it h)
So, the volume V of the cuboid can be calculated as:
V = Length x Width x Height
V = 10 cm x 4 cm x h
V = 40h cubic centimeters
Since we don't know the height of the cuboid, we cannot determine the exact volume. However, we can express it in terms of h:
V = 40h cubic centimeters
So, if the height of the cuboid is 5 cm, for example, then its volume would be:
V = 40 x 5 = 200 cubic centimeters
!
! ✨♪
A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
Answers
Answer:
t = 6.8 years
Step-by-step explanation:
The formula for compound interest is
\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.
We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal). We must solve for t and round to the nearest tenth:
\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)
The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines? There are no zeroes on the chart. What do I do
Answers
To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:
Examine the tables and identify a pattern or relationship between the x-values and y-values for each line.Determine the slope (rate of change) of each line by calculating the difference in y-values divided by the difference in x-values for any two points on the line.Once you have the slopes, compare them to see if they are equal or different.If the slopes are different, the lines intersect at a single point, which represents the solution to the system of equations.If the slopes are equal, the lines are parallel, and there is no solution to the system of equations.If the slopes are different, you can find the intersection point by solving the system of equations using either substitution, elimination, or another suitable method.For such more question on equations
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NEED HELP FAST ASAP!!
Answers
Answer:
The answer is C. 7 and -7
Answer:
c
Step-by-step explanation:
I hope you get it right
5. (03.02 MC)
If f(x) = 2х2 - 30, find f(4). (1 point)
НА
Мен
ка
ООО
Амер
-14
2
o17
Answers
Answer:
f(4) =2
Step-by-step explanation:
f(x) = 2х^2 - 30,
Let x=4
f(4) = 2 (4)^2 -30
= 2*16 -30
=32-30
= 2
the barge b is pulled by two tugboats a and c. at a given instant, the tension in cable ab is 4500 lb and the tension in cable bc is 2000 lb. determine by trigonometry the magnitude and direction of the resultant of the two forces applied at b at that instant.
Answers
To determine the magnitude and direction of the resultant force applied at b, we can use vector addition of the tensions in cables AB and BC. Let's assume that the positive x-direction is to the right, and the positive y-direction is upwards.
We can represent the tension in cable AB as a vector T1 = 4500 lb in the direction of AB, and the tension in cable BC as a vector T2 = 2000 lb in the direction of BC.
The magnitude of the resultant force applied at b is given by:
R = √(T1^2 + T2^2) = √(4500^2 + 2000^2) = 5000 lb
The direction of the resultant force can be found using the arctangent function:
θ = tan^-1 (T2/T1) = tan^-1 (2000/4500) = approximately 39.2 degrees
Therefore, the magnitude and direction of the resultant force applied at b are 5000 lb and 39.2 degrees, respectively.
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The cylinder below has a cross-sectional area of 17 m². What is the volume of the cylinder? If your answer is a decimal, give it to 1 d.p. and remember to give the correct units. area = 17 m² 14 m
Answers
The volume of the cylinder is 238. 7m³
How to determine the valueThe formula that is used for calculating the cross-sectional area of a cylinder is expressed with the equation;
A = πr²
Such that;
A is the area of the cylinder.r is the radius.From the information given, we have that;
17 = 3.14 × r²
Divide the values
r² = 5. 414
Find square root
r = 2.33 m
The volume of a cylinder is given as;
Volume = πr²h
Substitute the values
Volume = 3.14 × 2.33² × 14
Multiply the values
Volume = 238. 7m³
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I need help with this please
Answers
Point located at each location: 1) A 2) I 3) W 4) H 5) X 6) G 7) J 8) N 9) U 10) M 11). Ordered pairs are: B(2,8) 12) E(0,0) 13) T(3,3) 14) Q(8,7) 15) Y(7,6) 16) R( 9,8) 17) F(9,0) 18) S(3,6) 19) C(6,7)
Describe Ordered pair?
An ordered pair is a pair of mathematical object elements, such as numbers or other mathematical elements, where the order in which the object elements are listed is important. The ordered pair is usually written in the form (a, b), where 'a' represents the first element or coordinate, and 'b' represents the second element or coordinate.
In the context of the Cartesian coordinate system, an ordered pair represents a point in two-dimensional space, where the first element or coordinate represents the horizontal position on the x-axis and the second element or coordinate represents the vertical position on the y-axis. The order of the elements in an ordered pair is crucial because (a, b) is different from (b, a) and represents a different point in two-dimensional space.
Point located at each location is:
1) A
2) I
3) W
4) H
5) X
6) G
7) J
8) N
9) U
10) M
The ordered pair for given points is:
11) B(2,8)
12) E(0,0)
13) T(3,3)
14) Q(8,7)
15) Y(7,6)
16) R( 9,8)
17) F(9,0)
18) S(3,6)
19) C(6,7)
The graph for remaining is questions is attached below.
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Find the prime factorization of the number 38 write any repeated factors using exponents wrote the prime if the number is prime
Answers
2 * 19
Explanation:
Two smallest prime numbers multiplied to each other result to 38
Alicia sews costumesfor a school play.She takes an average of 86 minutes to sew each costume.How long would she take to sew 16 of these costumes
Answers
Answer:
1376 minutes
Step-by-step explanation:
Alicia sews costumes for schools
She takes 86 minutes to sew one costume
Therefore the time taken to sew 16 costumes can be calculated as follows
86 mins= 1 costume
x= 16 costume
Cross multiply
x= 86×16
= 1376 minutes
find the value of x? please help
Answers
Answer:
49
Step-by-step explanation:
With these types of problems, you have to subtract the outer and inner values and then divide by 2. So, (125-27)/2 = 49. Hope this helps!
Question 10 of 10
How does the graph of f (x) 3x +2 +4 relate to its parent function?
A. The parent function has been compressed.
B. The parent function has been translated up.
C. The parent function has been stretched.
D. The parent function has been translated to the left.
SUBMIT
Answers
The graph of f(x) relate to its parent function by B. The parent function has been translated up.
How does the graph of f(x) relate to its parent function?Given that
f(x) = 3x +2 +4
When evaluated, we have
f(x) = 3x + 6
The parent function of the above is
f(x) = 3x
When f(x) = 3x is compared to f(x) = 3x + 6, we have
Difference = 6
This means that the parant function is translated up by 6 units
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answers
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
If one cylinder is r=3 ft and the volume is 756 feet cubed, how do I find the volume of a larger cylinder with a radius of 7feet?
Answers
Answer:
\(4116\; {\rm ft^{3}}\), assuming that the two cylinders are of the same height.
Step-by-step explanation:
The volume of a cylinder of radius \(r\) and height \(h\) is \(\pi\, r^{2}\, h\).
If the two cylinders are of the same height \(h\), the volume of the two cylinders would be proportional to the square of their radii.
Let \(r_{0}\) and \(V_{0}\) denote the radius and volume of the smaller cylinder. Similarly, let \(r_{1}\) and \(V_{1}\) denote the radius and volume of the larger cylinder. Assuming that the height of both cylinders is \(h\):
\(V_{1} = \pi\, {r_{1}}^{2}\, h\).
\(V_{0} = \pi\, {r_{0}}^{2}\, h\).
Hence, \((V_{1}) / (V_{0})\) (ratio between the volume of the larger cylinder and the volume of the smaller cylinder) would be:
\(\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{\pi\, {r_{1}}^{2}\, h}{\pi\, {r_{0}}^{2}\, h} =\frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}\).
In this question, it is given that:
the volume of the smaller cylinder is \(V_{0} = 756\; {\rm ft^{3}}\).the radius of the smaller cylinder is \(r_{0} = 3\; {\rm ft}\).the radius of the larger cylinder is \(r_{1} = 7\; {\rm ft}\).Rearrange the equation \(\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}\) to find an expression for \(V_{1}\), volume of the larger cylinder:
\(\begin{aligned}V_{1} &= \frac{{r_{1}}^{2}\, V_{0} }{{r_{0}}^{2}} \\ &= \frac{{(7\; {\rm ft})}^{2}}{{(3\; {\rm ft})}^{2}} \times (756\; {\rm ft^{3}}) \\ &= 4116\; {\rm ft^{3}} \end{aligned}\).
Do you agree with your classmate? Explaining using precise mathematical language.
Answers
Answer:
No he placed the numbers incorrectly
Step-by-step explanation:
When following the slope formula, its the y values on top, in this ,
Which expressions are less than 7/8? Choose2 answers 7/8 x 9/19 7/8 x 3/4 7/8 x 9/9 7/8 x 4/3
Answers
The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.
To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.
Let's consider each expression one by one:
7/8 x 9/19:
To compare this expression to 7/8, we multiply the fractions:
(7/8) x (9/19) = 63/152.
Since 63/152 is less than 7/8, this expression is less than 7/8.
7/8 x 3/4:
Multiplying the fractions:
(7/8) x (3/4) = 21/32.
Since 21/32 is less than 7/8, this expression is less than 7/8.
7/8 x 9/9:
The fraction 9/9 simplifies to 1, so the expression becomes:
(7/8) x 1 = 7/8.
Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.
7/8 x 4/3:
Multiplying the fractions:
(7/8) x (4/3) = 28/24.
We can simplify 28/24 to 7/6.
Since 7/6 is greater than 7/8, this expression is not less than 7/8.
Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.
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2x + 3=-7?what is this even mean
Answers
Answer:
2 times some thing and plus 3 equals -7
Step-by-step explanation:
x = -5
Which expression is equivalent to 12/5x -2 A. 12x-2/5 B. 2(2/5x -1) C. 2/5(6x-10) D. 1/5(12x-10)
Answers
Answer:
The answer is D.
\( \frac{1}{5}(12x - 10)\)
A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
Answers
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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how do i know which one?
Answers
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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2. The ramp above connects two vertical supports,
forming two similar triangles: AADE~ AABC. Side AC corresponds to which side in the other triangle?
Answer:
3. What is the length of side BC?
Answers
The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units
Side AC corresponds to which sideFor two triangles to be similar, the corresponding sides of the triangles must be in proportion
Having said that
The side AC corresponds to the side AC in the other triangle
What is the length of side BC?The length BC is calculated as
BC/9 = 25/15
Express as products
So, we have
BC = 9 * 25/15
Evaluate the products
BC = 15
Hence, the length of BC is 15 units
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if 5/8 of a number is 565 ,what is 5/4 of the number?
Answers
The number of 5/4 is 1130
how to find the number x?
writing this as an algebraic expression.
An algebraic expression in mathematics is an expression that is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms. Also, solve questions in Algebraic Expressions Worksheets
\(\frac{5}{8}x\) = 565
\(\frac{5x}{8}\) = 565
5x = 565 * 8
5x = 4520
x = \(\frac{4520}{5}\)
x = 904
so the number is 904
What is 5/4 of 904 ?
\(\frac{5}{4}\) * 904
= 1130
so the answer to this question is 1130
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Analyze the diagram below and complete the instructions that follow.
42
40
A
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2√√41
B. 4√√29
C. 48
D. 58
Mark this and return
Save and Exit
Next
Submit
Answers
The length of unknown side x is 58.
The correct answer is option D.
To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let x be the hypotenuse. Applying the Pythagorean theorem, we have:
\(x^2 = 42^2 + 40^2\)
Simplifying:
\(x^2\) = 1764 + 1600
\(x^2\)= 3364
Taking the square root of both sides to solve for x:
x = \(\sqrt{3364}\)
Simplifying the square root:
x = (\(\sqrt{4 * 841)}\)
Since 841 is a perfect square (\(29^2\)), we can further simplify:
x = 2 * 29
x = 58
Therefore, the unknown side length, x, is equal to 58.
From the options provided the correct option is D.
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27,490 to the nearest ten thousand
Answers
Answer:
is the comma supposed to be a decimal point?
Step-by-step explanation:
27,000
7 is in the ten thousandth place, and four is next to it. you would look at the number next to the seven and if the number is five or more, you would change the seven to an eight but since the number is four or less, it stays the same.