The scale factor of the dilation is 30:1.
We have,
A superhero action figure has a volume of 1500 cm³.
The volume of the dilated figure is 45,000 cm³
Now, the scale factor should be
= 45000/ 1500
= 30 /1
Thus, the scale factor of the dilation is 30:1.
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looking for answer and explination
1) Note the the linearization of th function f(X) at a =1 is l(x) = 2x-3
2) since l(x) = 2x-3, f(1.01) is = - 0.98
Linearization is the process of converting a nonlinear function's gradient with respect to all variables into a linear representation at that moment.
for the above prompt , we have to use the formula:
l (x) = f(a) + f' (a) (x-a)
where (a) is the value fo the function at point a
and f' (a) is the derivative of the function evaluated at point a.
Using a = 1, f(a) becomes:
f(1) = 2 (1) ⁵ - 8 (1) + 5
f (1) =-1
f(x) = 10x⁴ -8
So f' (1 ) when evalutated will give us the slope of the tangent line at x =1
Thus,
f (1 ) = 10 (1)⁴ -8
= 2
Hence substituting all the values into th e linearization formula we get:
l(x) = f( 1) + f '(1) (x-1)
= -1 + 2 *( x-1 )
= -1 + 2x - 2
= 2x -3
This means that the linearization of the function f(x ) at a= 1 is l(x) = 2x-3
b) Given the l(x) above, f(1.01) gives us:
l(x) = 2x -3
= 2 (1.01) -3
= - 0.98
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11. If the revaluation of the asset is higher than the carrying value, the following entries will be made via the revaluation account; Debit Asset account and Credit Capital account of each partner. True/False?
Answer:
False. If the revaluation of the asset is higher than the carrying value, the following entries will be made: Debit Asset account and Credit Revaluation reserve account. The revaluation reserve account is a balance sheet account and does not affect the capital accounts of the partners directly. However, the revaluation reserve may indirectly affect the capital accounts of the partners if the revaluation reserve is distributed to the partners or used to offset losses in the future. It is worth noting that the specific accounting treatment may vary depending on the accounting standards being used by the company.
Step-by-step explanation:
Part E
Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.
Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.
Apples: 10 x ____ = ____
24+ ___ = a
Peaches: 10 x ____ =
18+____= p
Total: a+p=$ ___
Isaiah's total earnings after picking 10 baskets of apples and peaches each is: $117
How to solve Algebra Word Problems?Algebraic word problems are defined as questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.
We are told that Isaiah as already earned $24 picking apples and $18 picking peaches.
Amount for each basket of apple = $3 each
Amount for each basket of Peach = $4.5 each
Thus, for 10 baskets each:
Apples = 10 * 3 = $30
a = 24 + 30
a = $54
Peaches = 10 * 4.5 = $45
p = 18 + 45
p = $63
Total earnings = a + p
= $54 + $63
= $117
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Complete question is:
Isaiah picks fruit at a local orchard. He has already earned $24 picking apples and $18 picking peaches. He earns $3 for each basket of apples and $4.50 for each basket of peaches picked.
Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.
Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.
Apples: 10 x ____ = ____
24+ ___ = a
Peaches: 10 x ____ =
18+____= p
Total: a+p=$ ___
Find the value of x,y and z in the rhombus below
Answer:
-10x - 8 + 98 = 180
-10x + 90 = 180
-10x = 90
x = -9
-y - 5 = 98
-y = 103
y = -103
-2z + 8 + 98 = 180
-2z + 106 = 180
-2z = 74
z = -37
select the correct answer. which expression is equivalent to this polynomial ? x^2 +12
The expression that is equivalent to this polynomial "x²+12" is option A. (x + 2√3i) (x — 2√3i)
How did we get the value?In mathematics, a polynomial is an expression consisting of variables and coefficients that concern only the operations of addition, subtraction, multiplication, and nonnegative integer exponents.
A. (x + 2√3i) (x — 2√3i)
= (x² + 2√3i)² (i² = -1)
= (x² - 12x (— 1)
= x² + 12
B. (x + 6i) (x - 6i)
= (x² - (6i)²
= x² + 36
C. (x + 2√3)²
= x² + 4√3x + 12
D. (x + 2√3) (x - 2√3)
= x² - (2√3)²
= x² - 12
Therefore, the correct answer is as given above. Option A. (x + 2√3i) (x — 2√3i) is equivalent to the given polynomial.
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The complete question goes thus:
Which expression is equivalent to this polynomial?
x²+12
OA. (x + 2√3i) (x — 2√3i)
B. (x+6)(x-61)
Oc. (x + 2√3)2
OD. (x + 2√3) (x - 2√3)
The nominal exchange rate is 90 Pakistani rupees per dollar. The price of a shirt in Pakistan is 1800 rupees. The same shirt sells for $25 in the U.S. What is the real exchange rate? Can arbitragers make a profit? If yes, where would they buy and where would they sell?
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
We have,
The real exchange rate represents the relative price of goods and services between two countries.
It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.
To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.
1800 rupees / 90 rupees per dollar = $20
The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.
The real exchange rate (RER) is calculated as:
RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price
RER = (90 rupees per dollar * 1800 rupees) / $25
RER = 6480 / $25
RER = 259.2
The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.
Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.
The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.
In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.
This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.
Therefore,
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
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If csc(x) = 2, for 90° < x < 180°, then
sin(x/2)=
cos(x/2)=
tan(x/2)=
Después de analizar un conjunto de datos se encontró que la desviación estandar es igual a 9, se requiere conocer
ahora, el valor de la varianza
The variance of the data-set in this problem is given as follows:
81 units squared.
How to obtain the variance of the data-set?The standard deviation for the data-set in this problem is given as follows:
9 units.
The relation between the standard deviation and the variance is that the standard deviation is the square root of the variance, hence the variance is the square of the standard deviation.
Hence the variance of the data-set in this problem is given as follows:
(9 units)² = 81 units².
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Which of the following functions are vertical translations of f(x)=√x?
Select all that apply.
A. K(x)=√√√-5+x
B. n(x) = -7+ √x
C. g(x)=√x -4
D. h(x)=3+√x
E. m(x)=√5x
Answer:
The function f(x) = √x is the square root function.
A vertical translation of a function is a transformation that shifts the graph of the function up or down without changing its shape.
Option (A) is a vertical translation of f(x) because it shifts the graph of f(x) to the right by 5 and then applies three square root operations. However, it is not a vertical translation that shifts the graph up or down.
Option (B) is a vertical translation of f(x) because it shifts the graph of f(x) down by 7 units.
Option (C) is a vertical translation of f(x) because it shifts the graph of f(x) down by 4 units.
Option (D) is a vertical translation of f(x) because it shifts the graph of f(x) up by 3 units.
Option (E) is not a vertical translation of f(x) because it involves multiplying the input of f(x) by a constant factor of 5.
Therefore, the options that are vertical translations of f(x) are (B), (C), and (D).
Step-by-step explanation:
Rectangle LMNP is similar to rectangle WXYZ.
The length of LM is 19 in, the area of rectangle LMNP is 140.6 in2, and the length of XY is 2.22 in.
What is the difference between the perimeters of the two rectangles?
A. 31.96 in
B. 36.96 in
C. 15.84 in
D. 41.96 in
The required, difference between the perimeters of the two rectangles is,
⇒ 46.03 in.
Since, rectangles LMNP and WXYZ are similar, their corresponding sides are proportional. Let's denote the scale factor as k.
Then, We get:
k = XY / LM
k = 2.22 / 19
To find the value of k, we can divide 2.22 by 19:
k ≈ 0.117
Hence, The area of rectangle LMNP is given as,
140.6 in².
We can use this to find the length of NP:
LM x NP = area of LMNP
19 x NP = 140.6
NP ≈ 7.4 in
Since, the sides of WXYZ are proportional to those of LMNP, we can find the length of YZ:
XY / YZ = LM / NP
2.22 / YZ = 19 / 7.4
YZ ≈ 1.167 in
Now we can calculate the perimeters of both rectangles:
Perimeter of LMNP = 2(LM + NP) = 2(19 + 7.4) = 52.8 in
Perimeter of WXYZ = 2(XY + YZ) = 2(2.22 +1.167) = 6.77in
Thus, The difference between the perimeters is:
52.8 - 6.77 = 46.03 in
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Computer systems analysts
Database administrators
Computer software engineers,
systems software
Gaming and sports book writers
and runners
Environmental science and
protection technicians, including
health
Manicurists and pedicurists
Physical therapists
Physician assistants
504
650
119 154
350 449
18 24
36
78
47
100
220
29.0
28.6
28.2
28.0
28.0
27,6
27.1
146
34
99
5
10
22
47
18
Bachelor's degree
Bachelor's degree
Bachelor's degree
Short-term on-thi
Associate degree
Postsecondary vocational award
Master's degree
Master's degree
173
66
83
27.0
Based on the above table, what is the fastest growing listed occupation for those without a college degree?
a. Gaming and sports book writers and runners
b. Dental assistants
c. Marriage and family therapists
d. Manicurists and pedicurists
Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.
Therefore option A is correct.
What is a college degree?The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.
With reference to the table, the occupations that do not require a college degree are:
Gaming and sports book writers and runnersEnvironmental science and protection technicians, including healthManicurists and pedicuristsWe were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.
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What are the coordinates of point c?
(-2.5, 0)
(0, -2.5)
(0, -3)
(-3, 0)
Answer:
0, -2.5
Step-by-step explanation:
First find the latitude coordinate (N-S)
=0
2nd find the longitude coordinate (W-E)
=-2.5
since it's between -3 and -2, we'll put a decimal 5 (.5)
26=-9w-2w-18?????????????????
Answer:
w = -4
Step-by-step explanation:
Hope this helps
full method please
(-9+5)+7×(-3)please
Evaluating the expression (-9+5)+7×(-3), we get -25
Evaluating the expressionFrom the question, we have the following parameters that can be used in our computation:
(-9+5)+7×(-3)
Evaluate the expressions in the bracket
So, we have
-4 + 7 * -3
Evaluate the products
So, we have
-4 - 21
Lastly, we have
-25
Hence, the solution is -25
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Which of the following is a statistical question that can result in numerical data?
A- How many miles do you travel to get to school each week?
B-How many hours do the students in your class study each week?
C- Who is the doctor at Pediatric Specialists?
D- How many cars do your grandparents have?
Answer: D
Step-by-step explanation:The option that is statistical question that can result in numerical data is D) What is the height of the tallest player on a team?
What is a statistical question?
A statistical question is one that can be answered by gathering varying amounts of data. A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.
Solve the following for θ, in radians, where 0≤θ<2π.
−7cos2(θ)+4cos(θ)+6=0
Select all that apply:
1.07
3.96
0.31
2.32
1.68
2.43
Answer:correct answers are 3.96
2.32
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
-7u^2 + 4u + 6 = 0
Now we can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = -7, b = 4, and c = 6. Substituting these values, we get:
u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)
u = (-4 ± sqrt(136)) / (-14)
u = (2 ± sqrt(34)) / 7
Therefore, either:
cos(θ) = (2 + sqrt(34)) / 7
or:
cos(θ) = (2 - sqrt(34)) / 7
Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:
θ = arccos((2 + sqrt(34)) / 7)
θ = arccos((2 - sqrt(34)) / 7)
Using a calculator, we find:
What meaning of the statement this: subgroups partition groups into subsets of equal size?
Answer:
This statement means that subgroups divide a larger group into smaller groups, and each of these smaller groups has the same number of things in it. For example, if there are 12 people in a group, and they form subgroups of 3 people each in a group, there will be 4 groups total, and each individual subgroup will have 3 people in it.
a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?
Answer:
10 dollars
Step-by-step explanation:
5 + 5
Great coffee cup fountain
According to Karissa's method, Brand B is the winner as it is the most effective and less costly and must be promoted in commercials.
How to solveGiven:-
Data collected by the official observations for each brand at 10 minute intervals.
To find which method should be applied to determine the winner? why? which brand should be declared the winner and promoted in the commercial?
In this given data and what to be obtained is described in it.
Step 2/2
Kariss's method should be applied to determine the winner.
As it fills the amount of liquid paper towel can soak, which of liquid paper can soak, which would directly relate the costs of purchasing on other.
Side Bryce's method should not be used are time is not be used are time is not as important factor as papers A, B, and C have marginal differences.
So Karissa's method would directly help us to determine the most cost-effective to efficient towel brand.
Based on the table:-
Brand A= 40 towels per minute
Brand B= 17 towels per minute
Brand C= 30 towels per minute
In this the solution is obtained by dividing the number of towels by the minute and solving the solution is obtained.
So, according to Karissa's method Brand B is the winner as it is the most effective and less costly and must be promoted in commercials.
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a principle has given a class 75 dollars to help pay for a field trip to the zoo
Answer:
5p + 75> 386
Step-by-step explanation:
principal has given $75
Total cost of trip = $386
price of a pie = $5
5p + 75 ≥ 386
Triangle ABC
A
B
C
and triangle DEF
D
E
F
are similar. What is the measure of side DF
D
F
?
Answer:
DF = 15 cm
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] ( substitute values )
[tex]\frac{DF}{9}[/tex] = [tex]\frac{25}{15}[/tex] ( cross- multiply )
15 DF = 9 × 25 = 225 ( divide both sides by 15 )
DF = 15
Answer:
12
Step-by-step explanation:
1. Use the Pythagorean theorem for triangle ABC
a squared (one side of the triangle) + b squared (another side) = c squared (hypotenuse)
so
c squared - b squared = a squared
225 - 81 = 144 ( Find the square root )
which is 12
since Triangle ABC is the same with Triangle DEF then
DF = 12
Will give Brainliest and points.
A fair, 6-sided die is rolled 60 times. Predict how many times it will land on a number greater than 2.
60
40
20
two thirds
Find the value of x 30 degrees and 50 degrees
Answer: I think its 1500x
Step-by-step explanation: I multiplied them both.
Hope it helped :D
Answer:
1500000000000
Step-by-step explanation:
i don't know how but the answer is pretty easy but I don't feel like it so yeah there's
11 zero s
Give the equation of the circle centered at the origin and passing through the point (0, 6).
The equation of circle is x² + y² = 36.
We have,
Center= (0, 0)
Passing point = (0, 6)
We know the equation of circle is
(x-h)² + (y-k)² = r²
where (h, k) be the center and r be the radius.
Now, the radius of circle is
= √(6-0)² + (0-0)²
= √36
= 6 unit
So, the equation of circle
(x-0)² + (y-0)² = 6²
x² + y² = 36
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PLEASE HELP ME SOLVE THIS FOR BRAINILEST
Answer:
Point B and Point G are opposite rational numbers because they are the same distance away from 0
Step-by-step explanation:
-4/3 and 4/3 are almost the same number, except that -4/3 is a negative rational number, while 4/3 is a positive rational number
The answer essential relates to the absolute value (how far a number is away from 0; always a positive value
We can see that -4/3 and 4/3 are both the same distance away from 0 using the number line
-4/3:
-4/3 is -4/3 units to the left of 0. To get back to 0, you have to move 4/3 units to the right so it is 4/3 units away from 0, even though it's a negative number
4/3:
4/3 is 4/3 units to the right of 0. To get back to 0, you have to move 4/3 units to the left, but the value remains positive even though you're moving to the left. Thus, 4/3 is simply 4/3 units away from 0:
You pick a card at random.
1 2 3
What is P(divisor of 54)?
Write your answer as a percentage.
%
The probability in percentage form is P(divisor of 54) = 29.6%
How to find the probability?The divisors of 54 are:
2, 3, 6, 9 (in the range we care)
Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.
So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:
P(divisor of 54) = 16/54
P(divisor of 54) = 0.296
To write it as a percentage just multiply it by 100%.
P(divisor of 54) = 0.296*100% = 29.6%
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if a baseball team has lost 50 matches out of the 120 matches played in total find out their winning percentage
Answer:
58.3%
Step-by-step explanation:
120-50=70 (wins)
120 is 100% wins
70. ??
We multiply 70 by 100% then divide by 120.
Describe and correct the error in simplifying the expression.
(2e^-3x)^4= 1/16e^12x
The correct solution of the expression is,
⇒ 16 / e¹²ˣ
We have to given that;
The value of Expression is,
⇒ (2e⁻³ˣ)⁴
Now, We can simplify as;
⇒ (2e⁻³ˣ)⁴
⇒ 2⁴ × e⁻¹²ˣ
⇒ 16e⁻¹²ˣ
⇒ 16 / e¹²ˣ
Thus, The correct solution of the expression is,
⇒ 16 / e¹²ˣ
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plot the point whose polar cord are (3, -135 degrees) pick graph below
The plot of the given point must be at.
the third circle and at the 9th ray clockwise from the positive x-axis.
How to plot the point in polar coordinates?Here we want to plot the point (3, -135°).
Remember that a point whose polar coordiantes are (R, θ) must be ploted along the circumference of a circle of radius R, at the angle θ measured counterclockwise from the positive x-axis.
Then here we need to have a circle of radius of 3 units, and plot the point at -135° from the positive x-axis.
Now, each of the rays has 15° on it, then the point should be graphed on the third circle (radius of 3 units) and at the 9th ray clockwise from the positive x-axis (clockwise because the angle is negative, and 9th ray because 9*15 = 135)
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where does the food go when you eat
Answer:
down your esophagus into your stomach
Step-by-step explanation:
After you swallow, peristalsis pushes the food down your esophagus into your stomach. Stomach. Glands in your stomach lining make stomach acid and enzymes that break down food. Muscles of your stomach mix the food with these digestive juices.