Kiran would choose scale of 1 to 50.
What is Scale Factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.
Given:
As, The scale “1 inch to 6 feet” is equivalent to the scale “1 to 72,” because there are 72 inches in 6 feet.
The scale “1 to 100” would make a scale drawing that is smaller than the scale “1 to 72,” because each inch on the new drawing would represent more actual length.
The scale “1 to 50” would make a scale drawing that is larger than the scale “1 to 72,” because Kiran would need more inches on the drawing to represent the same actual length.
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The options are as follow:
1 to 50
1 to 72
1 to 100
Kenneth opened a savings account and deposited $300.00 as principal. The account earns
14% interest, compounded annually. What is the balance after 8 years?
Use the formula A = P1+
P(1 + r/n)", where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
$855.78
Step-by-step explanation:Interest, in this context, is the amount of money a saving account can earn over time.
Compound Interest Formula
There are 2 types of interest: simple and compound. For this question, we are going to use the compound interest formula. This formula is [tex]A = P(1+\frac{r}{n})^{nt}[/tex]. As stated in the question, A is the total balance, P is the principal, r is the interest rate, n is how often the interest is compounded, and t is time.
Variables
The values of these variables for this question are as follows:
P = 300.00The principal is the initial amount, and the question states that the account starts at 300 dollars.
r = 0.14The question says the interest rate is 14%, so we can convert this to the decimal 0.14.
n = 1If something is compounded annually, it is compounded once a year, so n must be 1.
t = 8If we want to find the balance after 8 years, we should set t equal to 8.
Solving for A
To find A, all we have to do is plug the variables into the formula.
[tex]A = 300(1+\frac{0.14}{1})^{1*8}[/tex]This can be rewritten as:
[tex]A=300(1.14)^8[/tex]Solve this to find that A ≈ 855.78. After 8 years, the balance will be $855.78.
The first 5 terms of a certain sequence are 6. 12, 24, 48, and 96.
Which two statements about this sequence are true?
This is a geometric sequence.
This is an arithmetic sequence.
The function f(n)2(6)"
The function f(7) = 6(2)"
The function f(n) = 6 -6(n
represetits this sequence, where is a positive whole
represents this sequence, where is a positive whole r
1) represents this sequence, where n is a positive wh
Answer:
see explanation
Step-by-step explanation:
there is a common ratio between consecutive terms, that is
12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 96 ÷ 48 = 2
this indicates the sequence is geometric
the nth term of a geometric sequence is
f(n) = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 6 and r = 2 , then
f(n) = 6 [tex](2)^{n-1}[/tex]
What is an example of a no solution equation?
The equation 5x + 5 = 5x - 5 has no solution because the left side of the equation (10) cannot equal the right side of the equation (-5).
No solution equation:
5x + 5 = 5x - 5
To solve this equation, we must first isolate the variable. To do this, we can subtract 5x from both sides of the equation.
5x + 5 = 5x - 5
Subtract 5x from both sides:
5 + 5 = - 5
Simplify:
10 = -5
At this point, we can see that this equation has no solution because the left side of the equation (10) cannot equal the right side of the equation (-5).
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please give a step by step explanation please
The radius of a sphere whose surface area is 324*pi cm² is:
R = 9 cm.
What is the radius of the sphere in the image?We know that the surface of a sphere of radius R is given by:
S = 4*pi*R^2
Where pi = 3.14
Here we know that a sphere has a surface of 324*pi cm², then we can write the equation:
S = 324*pi cm² = 4*pi*R^2
We can divide both sides by pi, so we get:
324 cm^2 = 4*R^2
Now we can solve that equation for R, we will get:
R^2= (324 cm^2)/4 = 81cm^2
R = √(81 cm^2)
R = 9cm
The radius of the sphere is 9cm.
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The distance between a 16 feet long chord and the center of a circle is 15 feet. Compute the diameter of the circle
The diameter of the circle is 30 feet
To compute the diameter of the circle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse is the diameter of the circle, and the other two sides are the radius and the distance between the chord and the center of the circle.
So, we can write the equation:
diameter^2 = radius^2 + (distance between chord and center)^2
We know the radius is half the diameter, so we can substitute that in:
diameter^2 = (diameter/2)^2 + (15)^2
And we can solve for the diameter:
diameter^2 = diameter^2/4 + 225
diameter^2 = diameter^2/4 + 225
4diameter^2 = diameter^2 + 900
3diameter^2 = 900
diameter^2 = 900/3
diameter = sqrt(900/3)
So the diameter of the circle is 30 feet.
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question is in the photo, please provide explanation as well
Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related ?
O The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A.
O The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B.
O The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
O The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
To explain this using a formula, we can use the dilation formula. This formula states that for any point (x,y) on the original line (f), when dilated with a scale factor of k and the center of dilation is the origin (0,0), the coordinates of the point on the new line (f') would be (kx, ky).
For point A, which has coordinates (2,0) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point A' on line f' would be (3 * 2, 3 * 0) = (6, 0).
Similarly, for point B, which has coordinates (0,2) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point B' on line f' would be (3 * 0, 3 * 2) = (0, 6).
Since the two lines have the same slope, line f and line f' are parallel.
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Se consideran los vectores u (-3,2) y v (5,1). Calcula gráficamente y utilizando las coordenadas del vector w= 2u – v
Answer:
hhhhhhhhhhhhhhhh hhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhh hhhhhhhhh hhhhhhh hhhhhh
Find the product using any method. (Please help me on this!)
Answer:
The answer is (4x² - 36x + 81)
Step-by-step explanation:
Given(2x - 9)²Property Used(a - b)² = a² - 2ab + b²So,
(2x - 9)² = (2x)² - 2(2x)(9) + (9)²
(2x - 9)² = 4x² - 36x + 81
Thus, The product of (2x - 9)² is (4x² - 36x + 81)
willl mark you brainlieestttt
Answer:
C
Step-by-step explanation:
Answer:
- 7√10
Step-by-step explanation:
Step 1 : Take √10 common
2√10 - 5√10 - 4√10
= √10 ( 2 - 5 - 4 )
Step 2 : Subtract the numbers separately.
2 - 5 - 4
= 2 - 9
= - 7
Step 3 : Multiply √10 and - 7
√10 * - 7 = - 7√10
The top-notch middle school had athletes from all the grades playing on a sports team. 6th grade 7th grade 8th grade basketball 2 4 7 baseball 1 6 5 soccer 7 4 4 football 8 15 10 explain what the ratio 5:73 represents. the ratio 5:73 represents the ratio of 8th grade baseball players to total athletes. the ratio 5:73 represents the ratio of 7th grade football players to total athletes. the ratio 5:73 represents the ratio of total athletes to 7th grade football players. the ratio 5:73 represents the ratio of 6th grade athletes to total athletes.
The ratio 5:73 represents the ratio of 8th grade baseball players to total athletes.
What is ratio?In mathematics, a ratio is a comparison of two or more numbers that demonstrates how large one number is relative to the other. The divisor or number that is dividing is known as the consequent, while the dividend or number being divided is known as the antecedent. A ratio divides two numbers to compare them.
Given that the Total number of athletes are 2+4+7+1+6+5+7+4+4+8+15+10
= 73
Ratio of 5:73 represent the athletes in a particular grade with specific games to total number of athletes in the school.
There are on one event is where 5 athletes are, that is 8th grade baseball players.
So the correct answer is The ratio 5:73 represents the ratio of 8th grade baseball players to total athletes.
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2/3 of the students in a class passed their math test. If 16 of students passed the test, how many students are in the class
Answer:
24 students are in the class
Step-by-step explanation:
Let x represent the total number of students in the class. We have the equation:
(2/3)x = 16
x = 24 students
So, there are 24 students in the class.
Answer:
24 students
Step-by-step explanation:
16/2=8
8*3=24
a solid metal sphere of volume 1280cubic centimeters
is melted down and recast into 20 equal solid cubes.fund length of the side of each cube
a solid m or a solid m fear of volume
Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years
If Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years then he has to pay 3009.6 back.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years.
A=P(1+rt)
Where, A is final amount, P is principal amount, r is rate of interest, t is time period.
P=3000, r=0.16%=0.16/100=0.0016, t=2
A=3000(1+(0.0016)2)
=3000(1+0.0032)
=3000(1.0032)
=3009.6
Hence, Canon needs to pay back 3009.6
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•15 POINTS• don’t need to explain.
a.)
b.)
c.)
Answer: HL
Step-by-step explanation:
HL because the hypotenuse leg theorem shows how a given set of right triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.
NEED HELP ASAP - Algebra 2
Every complex number has the form a+bi with a and b as real numbers. Is it possible to create a complex number in which b=0? If so, create two examples to show your hypothesis is true. If not, explain why it is not possible.
Your response must be at least 50 words.
No, It is not possible to have a complex number in the form of a + bi when b = 0.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Complex number.
It is in the form of a + ib.
Where a and b are real numbers.
Now,
If b = 0 then we can not have a complex number.
Example:
a + bi
a = 1 and b = 0
1 + 0i = 1 which is not a complex number.
In order to have a complex number a can be any real number and 0 but b can not be a zero.
Thus,
It is not possible to have a complex number in the form of a + bi when
b = 0.
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The data below shows the orders that were placed at a local paint shop. 1 2 3 4 Paint orders 5 6 Gallons 7 8 9 10 Solve for the MEAN of this data set. If needed, round to the nearest tenth.
To find the MEAN of Natural numbers, such as 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, a + b + c3 is the sum of the three numbers a, b, and c. Therefore, 5.5 is the MEAN of the first 10 natural numbers.
Find the MEAN Of Data setFirstly The Given set of numbers Represents Natural numbers,
A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc.
Therefore, the first ten natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
And the mean of three numbers a, b, c is a + b + c3
Then the mean of 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 is:-
⇒1+2+3+4+5+6+7+8+9+1010
Adding and dividing we get the value of the above term as,
⇒1+2+3+4+5+6+7+8+9+1010=5510=5.5
Hence, the mean of the first 10 natural numbers is 5.5.
Note: To solve this problem, you must understand that the integers greater than zero are natural numbers and that the mean of the three numbers a, b, and c equals a + b + c3. Knowing how to calculate the average number of elements and being familiar with natural numbers can help you arrive at the correct conclusion.
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PLS HELP :[
The graph shows the prices, in dollars, of different numbers of pepperoni rolls at Luis's store. The table shows the prices, in dollars, of different numbers of Kaiser roll packets at the same store.
A graph shows Number of Pepperoni Rolls on x-axis and Price of Pepperoni Rolls on y-axis. The x-axis scale is shown from 0 to 24 at increments of 4, and the y-axis scale is shown from 0 to 160 at increments of 20. A straight line joins the ordered pairs 4, 20 and 8, 40 and 12, 60 and 16, 80 and 20, 100 and 24, 120.
Kaiser Roll Packet
Number of Kaiser Roll Packet
Price of Kaiser Roll Packet (dollars)
4
24
8
48
12
72
16
96
How many dollars more is the price of a Kaiser roll packet than the price of a pepperoni roll at Luis's store? (1 point)
a
$1
b
$4
c
$5
d
$6
Kaiser roll packet cost $1 more than the price of a pepperoni roll at Luis's store.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given is that the graph shows the prices, in dollars, of different numbers of pepperoni rolls at Luis's store. The table shows the prices, in dollars, of different numbers of Kaiser roll packets at the same store.
The price of a Kaiser roll packet = {C1} = (48 - 24)/(8 - 4) = 24/4 = 6
The price of a Kaiser roll = {C2} = (40 - 20)/(8 - 4) = 20/4 = 5
$6 - $5 = 1
Therefore, Kaiser roll packet cost $1 more than the price of a pepperoni roll at Luis's store.
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Let f be a polynomial with integer coefficients, of degree n>1. What is the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),...
The maximal number of consecutive integers by using the expression [tex]2*sqrt(n*|a|).[/tex]
Let f(x) = ax^n + bx^{n-1} + ... + z be a polynomial with integer coefficients and degree n>1. According to the theorem of Tchebychev, the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... is bounded by the expression 2*sqrt(n*|a|), where a is the coefficient of the highest degree term of f(x).
For example, let f(x) = 3x^3 + 4x^2 - 5. The coefficient of the highest degree term is 3, and the degree of the polynomial is 3. Therefore, the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... is 2*sqrt(3*|3|) = 6.
To calculate this maximal number, we can follow these steps:
Identify the degree of the polynomial, n.
Identify the coefficient of the highest degree term, a.
Calculate the maximal number of consecutive integers by using the expression 2*sqrt(n*|a|).
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Alexis sells stuffed animals. she sells a stuffed elephant for $14.95, and the sales tax is 5% of the sale price. about how much is the sales tax on the elephant?
The price of the sales tax on the elephant could be 0.75$
What is percentage ?
percentage can be defined as the product of ratio of given value and total value and hundred.
Given
he sells a stuffed elephant for $14.95,
the sales tax is 5% of the sale price .
So,
as the tax is 5% of the given value.
so we are here multiplying the given value to the 5/100
we get,
The amount of the tax could be
= 14.95*5/100
= 0.7475
≈ 0.75 (rounded)
Hence the price of the sales tax on the elephant could be 0.75$
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5.07 - 2.148
????????????
Answer:
Step-by-step explanation: 2.922
Answer: 2.922
Step-by-step explanation: (Look at the attachment for the best experience, or idea) So, as you can see in the attachment below, we first need to line up the decimal points with one another. They subtract in line with the other decimals and borrow. As we know, our answer is 2.922.
In the figure below, N is between M and O, and O is between N and P. If NO=6, NP=8, and MP=16, find MO.
P
A line segment is merely a portion of a line, one with definite ends and a finite length.
What is a line?A line segment is merely a portion of a line, one with definite ends and a finite length. An object with only one dimension, a line has length but no width. A line is made up of several points that are endlessly stretched in the opposing directions. In a two-dimensional plane, it is specified by two points. Collinear points are described as two points that are on the same line.
An endlessly long, two-directional line is referred to as a line. It just has one, and that is length. Collinear points are those that are situated along the same path. Two points make up a line, which is written as follows with an arrowhead: AB.
O is between M and P, and N is the midpoint of MO. IF NO=3 and MP = 10, find OP.
Given the following details as:
N is between M and O.
O is between N and P .
NO=6 and NP = 8.
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. Marissa is painting one of her bedroom walls. She marks off of the wall. Then she divides the marked section into 3 equal parts and paints one part blue. What fraction of the whole wall is blue?
Answer: Marissa divided the marked section of the wall into 3 equal parts. If she painted one of these parts blue, then the part that she painted blue is 1 out of the 3 equal parts. So, the fraction of the wall that is blue is 1/3.
Another way of understanding this is that if the wall is divided into 3 equal parts and Marissa painted 1 part, then the fraction of the wall that is painted is 1/3.
So the fraction of the whole wall that is blue is 1/3.
Step-by-step explanation:
what meat is the most expensive per pound?
Answer:
B
Step-by-step explanation:
14.50 / 1.75 = 8.3
26.25 / 2.5 = 10.5
3/8 * 2 = 0.75 .... 5.5 * 2 = 11 (no need to continue)
suppose you and three friends are each dealt 13 cards from a shuffled deck, and you observe that you were dealt a single ace; what is then the probably that your three friends also each have an ace
The probability of each of your three friends having an ace is 32%.
The probability of each of your three friends having an ace is calculated using the Binomial Probability Formula. The formula is P(x) = nCr * p^x * (1-p)^(n-x). Here, n = 13 (number of cards dealt to each person) , r = 1 (number of aces you want to calculate the probability of), p = 4/52 (probability of getting an ace from a deck of 52 cards) and x = 1 (number of aces each of your three friends have).
Therefore, the probability of each of your three friends having an ace is P(x) = 13C1 * (4/52)^1 * (48/52)^(13-1) = 0.32.
This means that the probability of each of your three friends having an ace is 32%.
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What is the shape with 3 sides and 3 right angles?
There is no shape with exact 3 sides and 3 right angles.
The shape with three sides is a triangle. A triangle is a polygon with three edges and three vertices. It is a basic shape in geometry and can be classified into several types based on the length of its sides and the measure of its angles. Triangles can be classified as acute, right, or obtuse, depending on the measure of their angles.
A right triangle is a triangle with one right angle (90 degrees ). But there can not be a triangle with 2 or more right angle.
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Please help im not smart
Find the equation of the line that goes through ( 0, 2 ) and ( 3, 4 ).
Answer:
y = [tex]\frac{2}{3}[/tex] x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (3, 4 )
m = [tex]\frac{4-2}{3-0}[/tex] = [tex]\frac{2}{3}[/tex]
the line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = [tex]\frac{2}{3}[/tex] x + 2 ← equation of line
Use the distributive property to simplify the expression
6(8x+5)
Step-by-step explanation:
6(8x+5)
Use the distributive property to multiply 6 by 8x+5.
48x+30
Hope it Helps!
5. Suppose you went on vacation but forgot your smart phone
charging cable. Your phone battery died after two full days
(48 hours) of use. This situation is modeled by the equation
f(h) = 48, where h is the hours of cell phone use and
f(h)is the percentage of battery life left.
What is the upper bound of the parameter h?
hrs
What is the lower bound of the parameter h? •
hrs
The upper and lower bounds of the parameter h is found to be 0 and 1 respectively.
What is upper and lower bound of a function?
A number U serves as an upper bound for a function f, meaning that for any x, f(x) ≤ U. A number L serves as a function's lower bound, ensuring that for all x, f(x) ≥ L.
Given,
[tex]f(h) = \frac{48-h}{48}[/tex]
where f(h) = Percentage of battery left
h = Hours of cell phone use
Lower Bound of parameter h,
h = 0 ( When percentage is 100%)
f(h) = [tex]\frac{48 - 0}{48}[/tex] = 1
Upper bound of parameter h,
h = 48 (When percentage is 0%)
f(h) = [tex]\frac{48-48}{48}[/tex] = 0
Therefore the upper bound of h is 0 and lower bound of h is 1.
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