The cube root function is negative on the interval (-∞, 5), so the correct option is b.
When the function is negative?
Here we have the cube root function:
g(x) = ∛(x - 5)
This is a cube root, and it is negative when the argument is negative. So the function will be negative for the values of x such that:
x - 5 < 0
x < 5
So, we can say that on the interval: (-∞, 5) the function g(x) is negative. Then the correct option is b.
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Nan buys a greeting card for 2 dollars and 29 cents. She pays with three $1 bills.
Answer:
71 cents
Step-by-step explanation:
Find the area of the rug. DO NOT ROUND.
what is the area?
Answer:
28.26 ft²
Explanation:
[tex]\sf area \ of \ circle = \pi r^2[/tex]
Here given diameter: 6 ft
radius: d/2 = 6/2 = 3 ft
========
area of rug:
[tex]\dashrightarrow \ \pi (3)^2[/tex]
[tex]\dashrightarrow \ 9\pi[/tex]
[tex]\dashrightarrow \ 9(3.14)[/tex]
[tex]\dashrightarrow \ 28.26 \ ft^2[/tex]
Answer:
[tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]
Step-by-step explanation:
Step-1) Determine the radius of the rug:
Given diameter: 6 feet
⇒ [tex]\text{Diameter = 2(Radius)}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \frac{\text{Radius}}{2}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \text{Radius}[/tex]Substitute the diameter to obtain the radius of the rug.
⇒ [tex]\frac{6}{2} = \text{Radius}[/tex]⇒ [tex]\text{3 feet = Radius}[/tex]Step-2) Find the area of the rug by substituting the radius in the formula:
Area of circular rug = πr²
= [tex]\pi (3)^{2}[/tex]
= [tex]\pi (3)(3)[/tex]
= [tex]\pi(9)[/tex]
Substituting π as 3.14 (Stated in comments):
= [tex](3.14)9[/tex]
= [tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]
Which of the following number CANNOT represent the probability of an event?
A. 0.888
B. 0
C. 4.2
D. 0.39
Answer:
c
4.2 would mean a 420% chance of something happening which doesnt make sense
The number 4.2 cannot represent the probability of an event because it is greater than one.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability of an event must be less than or equal to one.
So 0.888 can represent the probability of an event because it is a non-negative number that is less than or equal to one.
0, cannot represent the probability of an event because it is a non-negative number but it is not less than or equal to one. This number represents an impossible event.
4.2, cannot represent the probability of an event because is greater than one which means it represents an event that is certain to occur, which is not a probability.
0.39, can represent the probability of an event because it is a non-negative number that is less than or equal to one.
Therefore, the number 4.2 cannot represent the probability of an event because it is greater than one.
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Transformation MATHS
anyone pls help me fond a solution to this ques
======================================================
Explanation:
Transformation V reflects over the line y = 0, which is the x axis. All points on the x axis have a y coordinate of zero. Examples are (1,0) and (2,0).
To reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. Example: The point (1,5) moves to (1,-5).
In general the rule is [tex](x,y) \to (x,-y)[/tex]
---------------------
Transformation W rotates the point 90 degrees clockwise around the origin (0,0). The rotation rule is [tex](x,y) \to (y,-x)[/tex].
For example, the point (1,7) rotates to (7,-1) when doing a 90 degree clockwise rotation around the origin. We move from the northeast quadrant to the southeast quadrant.
As you can see, we swap the x and y coordinates. Then we do a sign flip on the new y coordinate.
----------------------
Transformation X combines the two previous transformations. We do V first then W next. The order is important (see the next section as to why).
We're given the point (g,h) where we don't know g nor h.
The x axis reflection rule has us get to (g, -h) because we simply flip the y coordinate from positive to negative, or vice versa.
Then applying transformation W has us get to (-h, -g) as the final answer.
----------------------
As stated earllier, the order of the transformations is important. Let's say we did W first and then V next.
Apply transformation W to go from (g,h) to (h,-g)Apply transformation V to go from (h,-g) to (h,g)The point (h,g) is different from (-h, -g) showing that the order does affect where the final point ends up.
However, some transformations can be composited together without worrying about the order. An example could be having a translation followed by another different translation.
The point, (-4, 2) is a solution to the following system. y > 3x - 2 y ≥ 1 True False
Answer:
May I see a picture can't really understand the question clearly but seeing a picture could help. Thanks.
This is 15 points for whoever answers.
Answer:
Y = 40
Step-by-step explanation:
First, find the slope-intercept of the table
Slope-intercept form: y = mx + b
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
(3, 1) and (6,2)
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}[/tex]
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3}x+b[/tex]
Find b using (6,2):
[tex]y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b[/tex]
[tex]y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x[/tex]
[tex]y=\frac{1}{3}x[/tex]
What will be the value of Y when X = 120?
Substitute 120 for x into [tex]y=\frac{1}{3}x[/tex]
[tex]y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40[/tex]
(120, 40)
Therefore, when X = 120, Y = 40
Hope this helps!
find the area please and thank you
Answer:
60 cm²
Step-by-step explanation:
area of trapezium = 1/2(a + b) × h
= 1/2(6+14) × 6
= 20/2 × 6 = 10 × 6
= 60 cm²
How a find the value of y in y = x-7?
Answer:
7
Step-by-step explanation:
Accurate information
Given: AABC,
AB=BC,
BD 1 AC,
P
AABC
BC = 50,
= 40
ABD
Find: BD
Answer: 15
Step-by-step explanation:
please help me due today and giving 23 points
Answer:
The answer is b. 4*3 2/5.
Step-by-step explanation:
It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.
I need this answered please
Answer:
37
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Lets put the values in now :)
35^2 + 12^2 = c^2
1225 + 144 = c^2
1369 = c^2
Now we need to find the square root!
[tex]\sqrt{1369}[/tex] = 37
Have a great day!!
Please rate and mark brainliest!!
Hey Buddy !
Question : -For the following right triangle , find the side length x .
Given : - Perpendicular = 12 Base = 35Hypotenuse = x To Find : -We have to find the value of x .
Concept : -The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .
Pythagoras Theorem : -According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .
[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]
Where ,
H = HypotenuseP = PerpendicularB = BaseFrom Here Solution Starts : -Substituting the values in formula :
x² = 12² + 35²x² = 144 + 1225x² = 1369x = √1369x = 37[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]
#[tex] \rm{ \bold{Keep \: Learning}}[/tex]What is the total area, in square inches, of the shaded sections of the trapezoid below?
Answer:
64.5 in²
Explanation:
[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]
Solve for the entire trapezoid:
[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]
[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]
Solve for the unshaded rectangle:
Length * Width6.5 * 8.655.9 in²Area of the shaded region:
120.4 in² - 55.9 in²64.5 in²A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.Mavis packs the box with cubes, each 2cm by2cm by 2cm,with no space left over. How many cubes does Mavis fit into the box?
Given -
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.i.e, length = 2cm, breadth = 4cm and height = 6cm
Mavis packs the box with cubes, each 2cm by 2cm by 2cm,with no space left over.i.e, side = 2cm
To find -
the number of cubes that can be fit into the rectangular box.Concept -
To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,
Volume of Rectangular Box = l × b × h
Volume cube = a³
where,
l = length b = breadthh = heighta = sideSolution -
[tex]\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=2\times3}[/tex]
[tex]\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}[/tex]
Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.
The smith family wants to fence their yard. the yard is 96 meters and 52 meters wide. how much fencing will they need?
In the figure below, m || n and t is a transversal line. If ∠7 = x +14 and ∠1 = 2x -8, what is ∠4?
∠4 and ∠1 are opposite angles, and since opposite angles are equal, ∠4 = 2x - 8
(if u need a specific number)
∠1 is corresponding to ∠5, and since corresponding angles are equal, ∠5 = 2x-8
∠7 is supplementary to ∠5, and since supplementary angles add up to 180, x + 14 + 2x - 8 = 180
-> 3x + 6 = 180
x = (180-6)/3 = 58.
Since ∠4 = 2x - 8 -> ∠4 = 2 x 58 - 8 = 108.
Please help! And show how u solve!
Find X
Answer: 36
Step-by-step explanation:
Factor completely 9x3 + 36x2 - x - 4.
(3x + 4)(3x – 4)(x + 1)
(3x + 1)(3x - 1)(x + 4)
(9x2 - 1)(x + 4)
-
(3x + 1)(3x – 1)(x – 4)
-
The correct answer is: (3x + 1)(3x - 1)(x + 4)
What is the purpose of the QUADRATIC FORMULA?
N
A Determine the distance between two points
B Determine the zeros of a quadratic function
Calculate the axis of symmetry of a quadratic function
Calculate the y-coordinate of the vertex of a parabola
A factor delivered 284 boxes of books to stores. There are 20 books in each box. How many books did the factor deliver?
Answer:
284*20
Step-by-step explanation:
since there are 284 boxes of each 20 books, 1box = 20 books then 284 boxes = (284*20) books
If factor delivered 284 boxes of books to stores and 20 books in each box then the total number of books deliver by factor are 5680.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that a factor delivered 284 boxes of books to stores.
There are 20 books in each box.
We have to find the number of books the factor deliver
To find this we have to multiply the number of boxes with the number of books in a box
Number of books deliver = 284×20
Two hundred eighty four times of twenty
Number of books deliver =5680
Hence, if factor delivered 284 boxes of books to stores and 20 books in each box then the total number of books deliver by factor are 5680.
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Find the area. HELP PLEASE!!!
IF ITS CORRECT I WILL GIVE YOU A BRAINLIEST.
Answer:
135
Step-by-step explanation:
Use formula b(h) which is 9x15 and get 135
Ellie just accepted a job at a new company where she will make an annual salary of $62000. Ellie was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Ellie make as a salary after 6 years working for the company? What would be her salary after t years? Salary after 6 years: Salary after t years: t
Answer:
The answer is 86000
Step-by-step explanation:
This is because if she gets 4000 each yhear then that 4000 times 6 which is 24000. then you add that to the 62000 she initially got and you get youre answer, 86000.
Last year a company spent a total of £2400 on advertising. This year they spent £2796 What was the percentage increase in their spending on advertising?
Answer:
16.5%
Step-by-step explanation:
[tex] \frac{396}{2400 } \times 100[/tex]The percentage increase in their spending on advertising will be 16.5%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Last year an organization spent a sum of £2400 on publicizing. This year they burned through £2796.
Then the percentage increase in their spending on advertising will be given as,
P = [(2796 - 2400) / (2400)] x 100
P = (396 / 2400) x 100
P = 0.165 x 100
P = 16.5%
The percentage increase in their spending on advertising will be 16.5%.
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What is the answer for this math problem?
Answer:
9 feet
Step-by-step explanation:
v = lwh (volume equals length times width times height)
75.6 = 4 x 2.1 x d
multiply l and w, which is 4 x 2.1
75.6 = 8.4 x d
divide 75.6 by 8.4
9 = d
Answer:
The value of j is 9feet
Step-by-step explanation:
[tex] \hookrightarrow \sf \: v = whl[/tex]
⇒[tex] \sf {75.6 = (2.1)(4)(j) }[/tex]
⇒[tex] \sf {75.6=(2.1)(4)j}[/tex]
Step 1: Simplify both sides of the equation.
⇒[tex] \sf {75.6=8.4j}[/tex]
Step 2: Flip the equation.
⇒[tex] \sf {8.4j=75.6}[/tex]
Step 3: Divide both sides by 8.4.
⇒[tex] \sf { \frac{8.4j}{8.4} = \frac{75.6}{8.4}}[/tex]
⇒[tex] \sf {j=9}[/tex]
If ABCD is dilated by a factor of }, the
coordinate of D' would be:
3 2
B
-2
2
3
10
D
D' = ([?], [ ]
Help please!
Does the graph shows a proportional relationship
Answer:
no
Step-by-step explanation:
a proportional relationship when graphed always is a straight line that goes through the origin (0,0)
The graph shown, shows a straight line but the line doesn't go through the origin therefore the graph does not show a proportional relationship.
Note that the origin is where the x and y axis cross , or the bottom right corner of the graph in this case
One angle of an isosceles triangle measures 74°. What measure is possible for the other two angles?
Answer:
Either 74° and 32°
or 53° and 53°
Step-by-step explanation:
An isosceles triangle has at least two congruent angles.
There are two possibilities in this problem.
1)
The 74° angle is one of the two congruent angles.
Then, one other angle measures also 74°.
The third angle measures 180° - 74° - 74° = 32°
2)
The 74° is not one of the two congruent angles.
Then the other two angles are congruent.
180° - 74° = 106°
The sum of the measures of the two congruent angles is 106°, so each of the two congruent angles measures 53°.
Answer:
Either 74° and 32°
or 53° and 53°
fully explain why, in general, (a + b)^2 = a^2 +b^2.
No this is not correct identity
(a+b)²(a+b)(a+b)a(a+b)+b(a+b)a²+ab+ba+b²a²+2ab+b²Hence it's wrong
Answer:
Below!
Step-by-step explanation:
Let's simplify each side to determine if both sides are equal.
Left hand side of the equation:
Expression: (a + b)²This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².
⇒ a² + 2(a)(b) + b²When opening the parenthesis, we get;
⇒ a² + 2ab + b²This expression cannot be simplified further as there are no like terms in the expression obtained.
Right hand side of the equation:
Expression: a² + b²This expression cannot be simplified further as there are no like terms in the expression obtained.
Given equation:
(a + b)² = a² + b²This can be rewritten as;
a² + 2ab + b² = a² + b² (False)Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².
Help!!!!
The line segments in the circle to the right are both diameters with
length 2. Find the area of the white region. Leave your answer in
terms of pie
Answer:
pi/4
Step-by-step explanation:
diameter of the circle is 2
area of circle = pi * r^2
A = pi * 1^2
A = 1pi
1/4th of the area so
pi/4
Should you use Sine, Cosine, or Tangent to solve the following problem?
Answer:
sine
.....................
Perry works in the shipping department of a toy factory that makes radio-controlled
helicopters. Small helicopters weigh 2 pounds each, and are shipped in a container that
weighs 16 pounds. Large ones, on the other hand, weigh 5 pounds apiece, and are shipped in
a container that weighs 13 pounds. If these boxes can hold a certain number of helicopters
each, all of the packed containers will have the same shipping weight. What would the total
weight be? How many helicopters would fit in either container?
The shipping weight of a full container of either size will be ___
pounds if it holds ___ helicopters.
Answer:
6 could fit in the 18 pound box cause if you multiply 6 by 3 you get 18 and the wieght be 18
Step-by-step explanation: