Answer:
The maximum amount spent on clothing and footwear occured in late 2008.
Step-by-step explanation:
The existence of a maximum in a continuous differentiable function is determined by the First and Second Derivative Test, which consist on the following process:
1) First and second derivatives of the given function are obtained.
2) First derivative is equalized to zero and roots are found. (Critical points)
3) Each critical point is evaluated in the second derivative expression in order to determine if each point is an absolute maximum (f'' < 0) or minimum (f'' > 0).
The first and second derivatives of the function are, respectively:
[tex]f'(x) = -8.244\cdot x + 72.01[/tex]
[tex]f''(x) = -8.244[/tex]
Since first derivative is a first-order polynomial (linear function), there is a root, which is found herein:
[tex]-8.244\cdot x +72.01 = 0[/tex]
[tex]x = 8.734[/tex]
The second derivative indicates that critical value leads to an absolute maximum, therefore, the maximum amount spent on clothing and footwear occured in late 2008.
not sure what to do here
Answer:
P(-2 ≤ x ≤ 2) = .6
Step-by-step explanation:
Given
The data in the above table
Required
Find P(-2 ≤ x ≤ 2)
To solve for P(-2 ≤ x ≤ 2); we have to consider the boundary covered by the interval
The interval -2 ≤ x ≤ 2 according to the table is -2 , 0 and 2
Solving further;
P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) ----- (1)
From the table;
P(-2) = .33
P(0) = .16
P(2) = .11
Substitute these values in (1) above
P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) becomes
P(-2 ≤ x ≤ 2) = .33 + .16 + .11
P(-2 ≤ x ≤ 2) = .6
What is the measure of angle EFD? 37.5° 45° 47.5° 55°
Answer:
Step-by-step explanation:
Please try reposting with a picture so brainly users can help answer this question :)
The measure of angle < EFD = 47.5 degrees.
Option C is correct.
What is an Arc?An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference.
As, we know
The angle that an arc subtends at its centre is double that of its circumference.
In other words, the angle at the centre is twice as large as the angle at the perimeter.
So, <EFD = 95/2
or, <EFD = 47.5 degrees.
Learn more about Arc here:
https://brainly.com/question/18741430
#SPJ5
Find the value of x in each case:
Answer:
25.5°
Step-by-step explanation:
the sum of angle NMR and MRS is 180, so
2x + x + x + 78 = 180
4x = 180 - 78
4x = 102
x = 102/4 = 25.5°
Please answer ASAP Amanda used 24 grams of paint to paint a wooden cube. When it dried, she cut the cube into 8 equal cubes. How many more grams of paint does Amanda need to paint the unpainted surfaces of the 8 cubes?
Answer:
24 g
Step-by-step explanation:
hello,
The big cube is compose by the 8 small cubes.
Because of the symmetry we can check what's happening to one of this small cube.
As Amanda has already painted the big cube it means that the same cube has 3 faces painted, so 3 faces are left unpainted. only 50 % is painted.
so Amanda need 24 grams to paint the unpainted surfaces of the 8 cubes.
hope this helps
first answer gets the best marks
Answer:
B or the second oneStep-by-step explanation:
This is because you have the equation of 2(2/5x + 2).
When you simplify it you have to first do the parenthesis.
So, 2 * 2/5 = 4/5. This is because 2/1 *2/5 is 4/5.
Then you have to do 2*2. This is equal to 4.
Put them together. So it will be.
4/5x + 4.Answer:
It's the second answer, im pretty sure.
Step-by-step explanation:
Use the distributive property to distribute 2 into the term in parentheses.
The graph of y=h(x)y=h(x)y, equals, h, left parenthesis, x, right parenthesis is a line segment joining the points (1,9)(1,9)left parenthesis, 1, comma, 9, right parenthesis and (3,2)(3,2)left parenthesis, 3, comma, 2, right parenthesis. Drag the endpoints of the segment below to graph y=h^{-1}(x)y=h −1 (x)y, equals, h, start superscript, minus, 1, end superscript, left parenthesis, x, right parenthesis.
Answer:
End points of the this segment are (9,1) and (2,3).
Step-by-step explanation:
The given function is
[tex]y=h(x)[/tex]
End points of the this segment are (1,9) and (3,2).
If a function is defined as
[tex]f=\{(a,b),a\in R,b\in R\}[/tex] then
[tex]f^{-1}=\{(b,a),a\in R,b\in R\}[/tex]
It means, we have to interchange x and y-coordinates of the end points.
So, end points of the this segment are (9,1) and (2,3).
Plot these point and join them by a line segment.
The inverse of the function will be a line segment joining the points (9,1) and (2,3). See the graph.
Given information:
The function y=h(x) is a line segment joining the points (1,9) and (3,2).
So, the endpoints of the function y=h(x) can be written as,
[tex]y=h(x)=\{(1,9),(3,2)\}[/tex]
The inverse of a function is simply the opposite relation. In the inverse, the range and domain interchange themselves.
So, the inverse of the given function can be written as,
[tex]y=h^{-1}(x)=\{(9,1),(2,3)\}[/tex]
Refer to the graph of the function for more details.
For more details, refer to the link:
https://brainly.com/question/10300045
the length of rectangle exceeds its breadth by 4 cm if the length and breadth is increased by 3 cm the area of the new rectangle will be 81 squares more than that of the given rectangle find the length and breadth of the given rectangle check your solution.
Answer:
The length and breadth are 14 cm and 10 cm
The legs of a right triangle are 3 units and 5 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 4.00 units 2.83 units 5.83 units 8.00 units
Answer:
5.83units
Step-by-step explanation:
from Pythagoras theorem;
a^2=b^2+c^2
where a is the hypotenuse,b is the opposite and c is the adjacent
b=3 and c=5
a^2=3^2+5^2
a^2=9+25
a^2=34
find the square root of both sides,
√a^2=√34
a=5.83units
Answer:5.83
Step-by-step explanation:
PLZ HELP, AND PLZ EXPLAIN
Answer:
C
Step-by-step explanation:
To make it easy let's start by organizing our information :
AC=12 AND BD=8 ABCD is a rhombus K and L are the midpoints of sides AD and CD we notice that the rhombus ABCD is divided into four right trianglesWhat do you think of when you hear a right triangle ?
The pythagorian theorem !AC and BD are khown so let's focus on them .
If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?
Simply because they are the diagonals of a rhombus .
ow let's apply the pythagorian theorem :
(AC/2)² + (BD/2)² = BC² 6²+4²=52BC²= 52⇒[tex]\sqrt{52}[/tex]=BCNow we khow that : AB=BC=CD=AD=[tex]\sqrt{52}[/tex]
This isn't enough . Let's try to figure out a way to calculate the length of KL wich is the base of the triangle
KL is parallel to AC k is the midpoint of AD and L of DCI smell something . yes! Thales theorem
KL/AC=DL/DC=DK/AD WE4LL TAKE OLY ONE KL/12=[tex]\sqrt{52}[/tex]/2*[tex]\sqrt{52}[/tex] KL/12=1/2⇒ KL=6Now we have the length of the base kl
Now the big boss the height :
notice that you khow the length of KL BD crosses kl from its midpoint and DL = [tex]\sqrt{52}[/tex] /2What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D
DL²=(KL/2)²+D²52/4= 9+ D² D² = 52/4-9 +4 SO D=2now the height of the trigle is H= BD-D= 8-2=6
NOw the area of the triangle is :
A=(KL*H)/2 ⇒ A= (6*6)/2=18THE ANSWER IS 18 SQ.UN
Winnie has 17 red balloons, 33 white balloons, 65 green balloons, and 83 chartreuse balloons. With no regard to color, Winnie gives each of her 8 nearest and dearest friends some balloons. Each friend gets the same number of balloons and she hands out as many balloons as possible. How many balloons does Winnie end up keeping for herself?
Answer:
6
Step-by-step explanation:
17 + 33 + 65 + 83 = 198
198/8 = 24.75
To give the highest possible number, but the same number of balloons to each person, she gives 24 balloons to each one.
24 * 8 = 192
198 - 192 = 6
She gives away 192 balloons and keeps 6.
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to three decimal places.)
Answer:
1.619
Step-by-step explanation:
We have the formulas for the volume of the sphere and the cylinder:
Vs = (4/3) * pi * (r ^ 3)
Vc = pi * h * (r ^ 2)
Thus:
(4/3) * pi * (r ^ 3) + pi * h * (r ^ 2) = 10
Now, the formula for the surface area of the cylinder and sphere are:
As = 4 * pi * (r ^ 2)
Ac = 2 * pi * r * h + 2 * pi * r ^ 2
Using this equation for the total surface area of the solid, we can see that as "h" increases, so will the surface area. Therefore, the smallest surface area will occur at h = 0.
Thus:
(4/3) * pi * (r ^ 3) + pi * 0 * (r ^ 2) = 10
(4/3) * pi * (r ^ 3) = 10
r ^ 3 = 4 * 10 / (3 * 3.14)
r ^ 3 = 4.24
r = 1.619
so the radius is 1.619
2^5×5×11 and 2^3×5^2×7
Answer:
1. 1760
2. 1400
Step-by-step explanation:
2^5 = 32
32 × 5 = 160
160 × 11 = 1760
2^3 = 8
5^2 = 25
8 × 25 = 200
200 × 7 = 1400
find the equation of the line shown
Answer:
From the graph, the y-intercept is 9 and the slope is -1 so the equation is y = -x + 9. We know the slope is -1 because when x goes up by 1, y decreases by 1.
Step-by-step explanation:
When we know both the x- and y-intercepts of a line, we can conveniently use the intercept form.
Let
A=x-intercept=9
B=y-intercept=9
the intercept form of the equation is therefore
x/A + y/B =1
substituting numerical values,
x/9 + y/9 =1 ..........................(1)
Factoring the identical denominators
(x+y)/9 = 1
Cross multiply
x+y = 9 ...............................(2)
Both (1) and (2) are valid forms of equation of the given line.
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(275)
Answer:
The correct option is (4).
Step-by-step explanation:
The complete question is:
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(275)?
Houses sell on the market for an average of $275,000 and stay on the market an average of 275 days before being sold.Houses sell for an average of $275,000.f(275) indicates houses stay on the market an average of 275 days before being sold.f(275) represents the average number of days houses stay on the market before being sold for $275,000.Solution:
The function f (p) is defined as the average number of days a house stays on the market before being sold for price p in $1,000s.
The function provided is: f (275)
That is, p = $275,000.
So, the function (275) describes the average number of days a house stays on the market before being sold for price $275,000.
Thus, the correct option is (4).
In 2013 the population of the state of New York was approximately 19.65 million and the population of New York City was 8,406,000 in 2013 how many people in New York State did not live in New York City?
Answer: 11,244,000
Step-by-step explanation:
From the question, we are informed that In 2013 the population of New York state was approximately 19.65 million and the population of New York City was 8,406,000.
To know the number of people in New York State did not live in New York City, we subtract 8,406,000 from 19.65 million. This will be:
= 19,650,000 - 8,406,000
= 11,244,000
→Can someone help me←
Answer:
B.
Step-by-step explanation:
When written as proportions, the ratios of oranges to cups of juice are always equal.
-5(p+3/5)=-4 solve for p
Answer:
p=1/5
remove brackets
-5p-3=-4
move constant to right
-5p=-4+3
-5p=-1
divide both sides by -5
p=1/5
Answer:
1/5
Step-by-step explanation:
We can use solving for variables here.
-5(p+3/5)=-4
-5p+-3=-4
p=1/5
Evaulate 9^sqrt{3} in it to the nearest ten thousandth
Answer:
44.957
Step-by-step explanation:
All we can do is estimate √3 and then exponent 9 by it.
Alternatively, plug it into a calc and calculate.
What does C represent in this equation (-9c)-4=-25
Answer:
[tex]c=2\frac{1}{3}[/tex]
Step-by-step explanation:
[tex](-9c)-4=-25\\(-9c)=-21\\9c=21\\c=21/9=2\frac{1}{3}[/tex]
Find the relative size T of the shock wave of earthquakes with magnitude 8.3, as measured on the Richter scale (Answer in scientific notation, rounded to the nearest hundredth).
Answer:
199,526,231.50
Step-by-step explanation:
Mathematically, we use the Logarithmic relation below;
R = Log T
8.3 = Log T
T = (Log)^-1 8.3
T = 199,526,231.49688828
Which to the nearest hundredth is T = 199,526,231.50
ABCDEFGHI is a regular 9-sided polygon.
B
Diagram NOT
accurately drawn
H
o
G
D
F
E
The vertices B and E are joined with a straight line.
Work out the size of angle BEF.
(4 marks)
angle BEF
Answer:
angle BEF = 100 degrees
Step-by-step explanation:
For a regular 9-sided polygon (nonagon),
each exterior angle = 360/9=40 degrees
each interior angle = 180-40 = 140 degrees.
Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.
Therefore angle DEB = 40 degrees
that leaves BEF = 140-40 = 100 degrees
the value of x is and the value of y is
Answer:
x = 60, y = 50
Step-by-step explanation:
60 + 50 = 110 + 70 = 180.
50 + 70 = 120 + 6 = 180.
Therefore 50 + 70 + x = 60
Therefore 70 + 60 + y = 50
Answer:
x = 60°y = 50°Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
x + 70 + 50 = 180
x + 120 = 180
x = 60
The other triangle's missing angle:
180 - 60 - 50 = 70
Angles on a straight line add up to 180 degrees.
70 + x + y = 180
We know the value of x.
70 + 60 + y = 180
Solve for y.
130 + y = 180
y = 180 - 130
y = 50
Marcel used the multiplication table below to determine that 72:24 is equivalent to 6:18. A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labeled 9, the numbers 9, 18, 27, 36, 45, 54, 63, 72, and 81 are highlighted. What was Marcel’s error? Marcel did not look at the correct rows in highlighted columns. Marcel did not choose numbers from the highlighted columns. Marcel did not put the first and second terms in the same order. Marcel did not use numbers from the same row to create each ratio.
Answer:
The correct option is;
Marcel did not put the first and second term in the same order
Step-by-step explanation:
From the multiplication table the equivalent ratios of two numbers can be found given that the two numbers have the same factors which is true if the numbers are on the same column in the multiplication table
Therefore, having the numbers ratio presented in the form 72:24 which are on the row labelled 3 and the row labelled 9, we have that the 72 is on row 9 while the 24 is on row 3, for which on the second column, we have 6:18
However the ordering of the ratio gives the value on the 9th column first before the value on the 3rd column, so that the correct result should be 18:6
The error was that Marcel did not put the first and second term in the same order.
Answer:
C
Step-by-step explanation:
Hiiii someone please help me I'm confused please helppp
If the length of the bases of right triangle GHI are 9 units and 15 units respectively, what is the length of the hypotenuse of GHI?
Answer:
17.5 units
Step-by-step explanation:
a² + b²= c²
9² + 15² = c²
81 + 225 = c²
c² = 306
c = √306
c = 17.5
What value of x is in the solution set of 9(2x + 1) < 9x – 18?
Ο Ο Ο Ο
-2
Answer:
x < -3
Step-by-step explanation:
9(2x + 1) < 9x – 18
18x +9 < 9x – 18
-9x -9x
9x +9 < – 18
-9 -9
9x < – 27
÷9 ÷9
x < -3
HOPE THIS HELPS:)
Classify the following triangle. Check all that apply.
Answer:
B and C
Step-by-step explanation:
Since all of it's sides are unequal, it is a scalene triangle.
It has 1 obtuse angle, so it is an obtuse angled triangle.
Help with this plz! Please❤️
Answer:
1) Qs= 24.4 cm
2) Perimeter= 72.8 m
Step-by-step explanation:
1).let qs= qos
Op is the height of the the triangle
Op= ,6.8cm
Angle ops = 180-(90+50)
Angle ops = 180-140
Angle ops = 40
Os/sin ops= op/sin pso
Os/sin 40= 6.8/sin 50
Os = sin 40(6.8)/sin50
Os= 0.6428(6.8)/0.7660
Os= 5.71
Angle oqp = 180-(90+70)
Angle oqp = 180-160.
Angle oqp = 20
Oq/sin qpo = op/sin oqp
Oq/sin 70=6.8/sin 20
Oq= sin70(6.8)/sin20
Oq= 0.9397(6.8)/0.3420
Oq= 18.68
Qs= os +oq
Qs= 5.71+18.68
Qs= 24.39
Qs= 24.4 cm
2). The other angle of the triangle
=180-90-53
= 37
Sin90 = 1
Let the length and breadth be x and y
X /sin 53 = 26
X= 26(sin53)
X= 26(0.7986)
X= 20.7636
Y/sin 37 = 26
Y= 26(0.6018)
Y= 15.6468
Perimeter= 2(x+y).
Perimeter= 2( 20.7636+15.6468)
Perimeter= 2(36.4104)
Perimeter= 72.8208 m
Perimeter= 72.8 m
The slope of a line is -1/3
and the y-intercept is 10/3.
What is the equation of the line written in general form?
O 10x + 3y - 1 = 0
OX + 3y + 10 = 0
Ox + 3y - 10 = 0
Answer:
x + 3y - 10 = 0.
Step-by-step explanation:
Since the slope is -1/3 and the y-intercept is 10/3, we can have a slope-intercept form of y = -1/3x + 10/3.
Multiply all terms by 3
3y = -x + 10
Add x to both sides
x + 3y = 10
Subtract ten from both sides
x + 3y - 10 = 0.
Hope this helps!
Answer:
x+3y -10 =0
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1/3x + 10/3
Multiply each side by 3 to get rid of the fraction
3*y = 3*(-1/3x + 10/3)
3y = -x + 10
Add x to each side
x+3y = 10
Subtract 10 from each side
x+3y -10 =0
The general from is
Ax + By +C = 0 where A is a positive integer and B and C are integers
which equation describes the same line as y-3=-1(x+5)
Answer:
y = -x - 2
Step-by-step explanation:
y-3=-1(x+5)
Expand.
y - 3 = -1x - 5
Add 3 on both parts.
y - 3 + 3 = -1x - 5 + 3
y = -1x - 2
Please Help! After reading equation of the line from the graphing utility, Heather wrote in her notebook that the line of best fit is represented by the equation y = 0.77x + 1.34.
Answer:
The correct options are;
Heather likely did not make an error writing the equation of the line in her notebook because 0.77 and 1.34 are the slope y-intercept of the equation she recorded
Step-by-step explanation:
Based on the coordinates on the plot, Heather did not make a mistake in writing the line of best fit as the graph plotted with the points in the question figure as follows;
x, y
10.6, 9.4
8.2, 8.2
6.4, 7.3
6.6, 5.8
4.4, 5.4
4, 3.4
2.5, 4.4
2.2, 3
0.85, 1.5
Has an equation of he form, y = 0.7885·x + 1.3694.