The income elasticity for the household is -1.05.
What is the income elasticity?Income elasticity measures how quantity demanded changes when there is a change in the income of a person / household
Income elasticity = percentage change in quantity demanded / percentage change in income
percentage change in income = (3000 / 2500) - 1 = 0.2 = 20% percentage change in quantity demanded =( 150 /190) - 1 = -0.21 = -21%Income elasticity = -21% / 20 = -1.05
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Expand . ( 3x –2 ) 2 need an answer ASAP.
Answer:
6x - 4
Step-by-step explanation:
For expanding (3x -2) 2 , (3x - 2) is to be multiplied with 2.
(3x - 2) × 2 = 6x - 4
Isaac bought snacks for his team’s practice. He bought a bag of chips for $2.94 and a 8-pack of juice bottles. The total cost before tax was $16.62. How much was each bottle of juice?
Answer:
each bottle of juice was $1.71
Step-by-step explanation
first, subtract the cost of the chips from the total cost
$16.62 - $2.94 = $13.68
now we know the price of all 8 juice bottles. To find the price of each bottle of juice, divide the total price of all 8 juice bottles by 8
$13.68 / 8 = $1.71
$16.62 - $2.94 = $13.68
$13.68/8 = $1.71
Each bottle of juice is $1.71
Modeling with Two- and Three-Dimensional Figures: Practice
Question 1 of 5
Select the correct answer.
A solid metal cylindrical rod has a diameter of 4 centimeters and a length of 100 centimeters. The rod weighs between 10 and 11 kilograms.
What type of metal was used?
O
O
O
Yellow brass with a density of 8.47 g/cm³
Stainless steel with a density of 7.48 g/cm³
Iron with a density of 7.87 g/cm³
Nickel with a density of 8.90 g/cm³
dhy
Answer:
Yellow Brass with a Density of 8.47 g/cm^3
Step-by-step explanation:
That's the answer on the website
Applying the the properties of Congruence.
Quadrilateral GHJK = Quadrilateral LMNP.
Find the given side length or angle measure.
PLEASE HELP NO Scams pleaseeeee !!
Answer:
[tex]LM = 35cm[/tex] and [tex]m \angle H = 98^o[/tex]
Step-by-step explanation:
For this problem, it is critical to understand what the opening statement means.
[tex]Quadrilateral GHJK \cong quadrilateral LMNP[/tex] means that each pair of corresponding sides between shapes are congruent (they have equal length), and each pair of corresponding angles between shapes are congruent (they have equal measure -- or same number of degrees when measured with a protractor).
So, it's important to be able to determine which pairs are the corresponding parts. When the congruence is given like [tex]Quadrilateral GHJK \cong quadrilateral LMNP[/tex] the letters are in a particular order. That order explains the order in which the shape is drawn out, and they put them in the same order for both shapes to mean that those are the letters that correspond with each other.
So, the first letter of each are a corresponding pair, the second letter of each are a corresponding pair, ... etc
In other words, point G and L correspond, point H and K correspond, etc.
Part 1 -- Find LMTo find the corresponding sides, the sides for these shapes are defined by a two adjacent letters (two letters next to each other in the name, or ... as it wraps around the end of the name... the first and last letter).
[tex]\overline{GH} \cong \overline{LM}\\ \overline{HJ} \cong \overline{MN} \\\overline{JK} \cong \overline{NP}\\\overline{KG} \cong \overline{PL}[/tex]
While all of that is true, we only have a few sides with any information in them. Notice that side GH in the first shape, and sides PL & LM in the second shape are the only sides with anything written. So, we just need to determine which sides correspond (and thus, are congruent), so that we know how to move forward. Looking at the list of congruent sides above, we see that [tex]\overline{GH} \cong \overline{LM}[/tex]
Since the sides (line segments) are congruent, their lengths are equal
[tex]GH = LM[/tex]
...so we can substitute the expressions for each angle into the equation and solve for the unknown value "x"
[tex]GH = LM\\(4x+3)=(6x-13)[/tex]
[tex](4x+3)+13=(6x-13)+13\\4x+16=6x[/tex]
[tex](4x+16)-4x=(6x)-4x\\16=2x[/tex]
divide both sides by 2
[tex]\frac{16}{2}=\frac{2x}{2}\\8=x[/tex]
So, to find the length, LM, we just need to look back at the expression for LM:
[tex]LM = 6x-13\\LM = 6(8)-13\\LM = 48-13\\LM = 35[/tex]
remembering that the lengths are measured in centimeters (as indicated on the diagram): [tex]LM = 35cm[/tex]
Part 2 -- Find m∠HTo find the corresponding angles, the angles for these shapes are defined by a single letter, so since the points correspond in order, the names of the shapes tell which angles are congruent.
[tex]\angle G \cong \angle L\\\angle H \cong \angle M\\\angle J \cong \angle N\\\angle K \cong \angle P[/tex]
While all of that is true, we only have a few angles with any information in them. Notice that ∠H in the first shape, and ∠L & ∠M in the second shape are the only angles with anything written. So, we just need to determine which angles correspond (and thus, are congruent), so that we know how to move forward. Looking at the list of congruent angles above, we see that
[tex]\angle H \cong \angle M[/tex]
Since the angles are congruent, their measures are equal
[tex]m\angle H = m\angle M[/tex]
...so we can substitute the expressions for each angle into the equation and solve for the unknown value "y"
[tex]m\angle H = m\angle M\\(9y+17)=(11y-1)[/tex]
subtract 1 from both sides
[tex](9y+17)+1=(11y-1)+1\\9y+18=11y[/tex]
subtract 9y from both sides
[tex]\\(9y+18)-9y=(11y)-9y\\18=2y[/tex]
divide both sides by 2
[tex]\frac{18}{2}=\frac{2y}{2}\\9=y[/tex]
So, to find angle H, we just need to look back at the expression for the measure of angle H:
[tex]m\angle H = 9y+17\\m\angle H = 9(9)+17\\m\angle H = 81+17\\m\angle H = 98[/tex]
remembering that the angle is measured in degrees (as indicated on the diagram): [tex]m \angle H = 98^o[/tex]
kacee spent half of the money in her bank account, then deposited $15 more. if she now has $29, how much did she have begin with.
Answer:
Step-by-step explanation:
Solution
Before she put anything back into her account, she had 29 - 15 = 14 dollars.
She started with 2 * 14 = 28 dollars.
Answer: 28 dollars.
Calculate -0.4 as a percentage of 1.8
Answer:
-22.2222222222%
Step-by-step explanation:
-0.4/1.8×100
Explain please .................
Answer:
See below
Step-by-step explanation:
cos 2pi/3 = -1/2
sin 2pi/3 = sqrt (3)/2
cos 1 pi/6 = sqrt(3)/2
sin 11 pi/6 = - 1/2
so when you put in these values in you will have :
(2*8) * (-1/2 + sqrt (3)/2 i )( sqrt(3)/2) + i (-1/2) )
= 16 ( - sqrt (3)4 + 1/4 i + 3/4 i - sqrt(3)/4 i^2 ) rememember i^2 = - 1
= 16 ( 1/4 i + 3/4 i )
= 16 i
Which ordered pair could not be the coordinates for a clockwise rotation of the point W (-3, 4)?
(-4, -3)
(3, -4)
(-4, 3)
(4, 3)
Answer:
(-4, -3)
(-4,3)
(4,3)
The clock wise rotation of the coordinate will be
(3,4)
(3,-4)
(-3,-4)
(-3,4)
Answer:
(-4,3)
Step-by-step explanation:
starting at -3 , 4
rotate clockwise 90° this will change (x,y ) to (y ,-x)
doing this 3 times results in
4,3 then 3, -4 then -4,-3 so the answer is (-4,3)
The difference of a number and 6is the same as 5 times
Answer:
let difference be x
Step-by-step explanation:
you can solve for x by keeping the 2 statesments as conditions.
then you solve for both equations together by adding subtracting or multiplying.
eg: let x be the number.
the. proceed with conditions as equations
then solve
then your answer is here
please help me its math
The value of f(x) = 3x² - 2x at x = 4 is 40.
What is function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.
Here, the given function;
f(x) = 3x² - 2x
put the value of x = 4, we get
f(4) = 3 X 4² - 2 X 4
f(4) = 3 X 16 - 8
f(4) = 48 - 8
f(4) = 40
Thus, the value of f(x) = 3x² - 2x at x = 4 is 40.
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HELP PLEASE ASAP Which choices are equivalent to the quotient below? Check all that apply.
√12/√6
A. √2
B. √4/√2
c. 2/√3
D.√6/√2
E. √6/2
F. 2
Step-by-step explanation:
[tex] = \frac{ \sqrt{12} }{ \sqrt{6} } [/tex]
[tex] = \sqrt{ \frac{12}{6} } [/tex]
[tex] = \sqrt{2} [/tex]
The answer is A.
A (-3,6) B (-1, 3) Find the gradient of the line
Step-by-step explanation:
please mark me as brainlest
What is the measure of m?
m = [?]√
Give your answer in simplest form.
Answer:
[tex]m=4\sqrt{6}[/tex]
Step-by-step explanation:
[tex]n^2 = {8*4}[/tex] (By geometric mean theorem)[tex]\rightarrow n^2={32}[/tex][tex]m=\sqrt{n^2+8^2}[/tex] (By Pythagoras Theorem)[tex]\rightarrow m=\sqrt{32+64}[/tex] [tex]\rightarrow m=\sqrt{96}[/tex] [tex]\rightarrow m=4\sqrt{6}[/tex]Step-by-step explanation:
first find the relation between n,m and x
Which of the following values are in the range of the function graphed below?
Check all that apply.
first answer gets brainliest need asap!!!
Answer:
1
Step-by-step explanation:
Although you did not give me the answer choices, I believe that the only possible answer is 1 because the only y value the graph is on is 1.
Members of a soccer team raised $1818.50 to go to a tournament. They rented a bus for $960.50 and budgeted $35.75 per player for meals. Write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament.
The equation formed by the given condition is 960.5 + 35.75p ≤ 1818.50 and the number of players they can bring is a maximum of 24.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that,
The total amount that can be spent = $1818.50
Rent of bus = $960.50
Cost per player = $35.75/player
So,
Cost of bus + Cost per player × number of players ≤ The total amount that can be spent
960.50 + 35.75p ≤ 1818.50
35.75p ≤ 858
p ≤ 24
Hence "The equation formed by the given condition is 960.5 + 35.75p ≤ 1818.50 and the number of players they can bring is a maximum of 24".
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Equation:
Step-by-step explanation:
Given right triangle QRS, what is the value of sin(30°)?
The value of sin(30°) is 1/2.
What is Trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations.
The diagram is attached below:
We know,
sin 30= Perpendicular/ Hypotenuse.
As, the hypotenuse is the opposite side of the right angle and the perpendicular is opposite to the given angle.
So,
sin 30 = 5/10
sin 30 = 1/2
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The Rotation maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^3=
F
E
B
B will be at the place of E after all three rotations. So the correct option is B.
What is Rotation?Moving in a circular plane with respect to the fixed point is called as the rotation of the object.
If rotation maps to The three rotations for B will be
The given B after one rotation will shift in place of C
After the second rotation will shift in place of D
After the third rotation will shift in place of E
B will be at the place of E after all three rotations. So the correct option is B.
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insert one rational number between 5 and 5.25
Answer:
5.1
Step-by-step explanation:
A rational number is any number that can be written as a fraction, or is a decimal that terminates or repeats.
Which table represents an arithmetic sequence?
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The table that represents an arithmetic sequence is the third table.
What is arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₓ = a₁ + (x-1)d
where d is the difference and a₁ is the first term of the sequence.
For the table to be in an arithmetic sequence, the difference between any two consecutive terms must be equal.
For the first table, the difference between the first two terms is -6, while for the next two terms it is -12. Thus, it is not an arithmetic sequence.In the second table, the difference between the first two terms is 2 while the difference between the next two terms is 4. Thus, it is not an arithmetic sequence.In the third table, the difference between the first two terms is 1.4, the difference between the next two terms is 1.4. Also, it last two terms the difference is 1.4. Thus, it is an arithmetic sequence.Hence, the table that represents an arithmetic sequence is the third table.
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Question 9 of 30 If f(x) = 3*-¹ + 4 and g(x) = 4x-7, what is (f - g) (x) ? O A. (f - g)(x) = 3*-1 - 4x-11 B. (f - g)(x) = 3*-1 - 4x +11 C. (f - g)(x) = 3*-1 - 4x+3 O D. (f-g)(x) = 3×-¹ - 4x - 3 NEED HELP ASAP
Answer:
I really don't know
Step-by-step explanation:
what is even that
If m || k and m || , then
k
m
3
2
Please help
Answer: [tex]k \parallel l[/tex]
Step-by-step explanation:
Lines that are parallel to the same line are parallel.
Indigo earned a grade of 93% on her multiple choice history final that had a total of
200 problems. How many problems on the final exam did Indigo answer correctly?
Answer:
186
Step-by-step explanation:
x/200 = 0.93
x = 200(0.93)
x = 186
The number of problems that Indigo did answer correctly in the final exam is 186.
Given that:
Indigo earned a grade of 93% on her multiple-choice history final which had a total of 200 problems.
Total number of problems = 200
So, 100% grade = 200 problems
Let x be the number of problems which is answered correctly to get 93%.
Using the proportional concept,
[tex]\frac{x}{200} =\frac{93}{100}[/tex]
Cross multiply,
100x = 93 × 200
Dividing whole by 100,
x = 93 × 2
x = 186
Hence, the number of problems that are answered correctly is 186.
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What is the solution to the linear equation?
8-10-28+7=8+d-10-36
0 d=-5
O d=1
0 d=5
Mark this and retur
Save and Exit
Next
Submit
Answer:
d = 15
Step-by-step explanation:
8 - 10 - 28 + 7 is equal to -23
8 + d - 10 - 36 is equal to -38 + d
if -23 = -38 +d
15 = d
The solution of the equation is d = 15
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 8-10-28+7=8+d-10-36
In the equation d is the variable
We have to solve for d
8-10-28+7=8+d-10-36
-23 = -38+d
Add 38 on both sides
-23+38=d
15=d
Hence, the solution of the equation is d = 15
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In which funtion is x=2 mapped to 32?
The function g(x)=4(x+3)² - 68 is mapped to 32.
What is equation?An equation is a mathematical expression in terms of one or more unknown variable.
Given are the following functions:
f(x)= - 3x² - 4
g(x)= 4(x+3)²-68
f(x)= 3x
f(x)= 2x-62
To get the mapped function, we substitute the value of x in all function,
a) f(x)=-3x²- 4
Put x=2,
f(2)= -3 (2)² - 4
f(2)= -16
It is not mapped.
b) g(x)=4(x+3)² - 68
Put x=2,
g(2) = 4(2+3)² - 68
g(x) =32
It is mapped to 32.
c) f(x)=3x
Put x=2,
f(2) = 3 x 2 =6
It is not mapped.
d) f(x)=2x - 62
Put x=2,
f(2) =2x2 -62
f(2) = -58
It is not mapped.
Therefore, the function g(x)=4(x+3)² - 68 is mapped to 32.
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Please help me do the equation and figure out the right solution. I am supposed to be correcting the one in the picture.
Answer:
The correct answer is if you want no roots in the denominator, the correct answer is [tex]\frac{2x}{y}[/tex]* [tex]\sqrt[3]{2y^{2} }[/tex]
Step-by-step explanation:
The mistake is that you can't take a cube root of a square at step 3 when [tex]y^{2}[/tex] is taken out.
What is 5 + 10^5 or what is 5 + 10 to the 5th power?
Answer:
5 + 10^5 = 100005 (I think its this one you are looking for
(5 + 10)^5 = 759275
Step-by-step explanation:
Answer:
100,005
Step-by-step explanation:
Original: 10 * 1 = 10
First, you need to do 10 * 10 which = 100.
Next, you need to do 100 * 10 which = 1,000.
Next, you need to do 1000 * 10 which = 10,000.
Next, you need to do 10000 * 100 which = 100,000.
Lastly, you need to add 5 to 100,000 and you get 100,005.
I Hope This Helped :D
The equation a^-4= is equal to what?
Answer:
a⁻⁴ = 1/a⁴
Step-by-step explanation:
1/a⁴
What value of k transforms the graph of f(x)=0.5x+3 into graph g? Describe the transformation.
for 7, 8, and 9
Using translation concepts, the values of k are given as follows:
7. k = 3.8. k = -2.9. k = 2.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem:
In graph 7, g(x) is a shift up of 3 units of f(x), hence k = 3.In graph 8, g(x) is a shift left of 2 units of f(x), that is, g(x) = f(x + 2), hence k = -2.In graph 9, g(x) is a vertical stretch by a factor of 2 of f(x), that is, g(x) = 2f(x), hence k = 2.More can be learned about translation concepts at https://brainly.com/question/27885240
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Work out, giving your answer in its simplest form:
2/3 x 3 3/5
Answer: 12/5
Step-by-step explanation:
[tex]3 \frac{3}{5}=\frac{18}{5}\\\\\implies \frac{2}{3} \times 3 \frac{3}{5}=\frac{2}{3} \times \frac{18}{5}\\\\=\frac{36}{15}\\\\=\boxed{\frac{12}{5}}[/tex]
Is 937.5 as the same as 937.50 Answer the question.
