Answers
The scale factor of the graph image shown is 1.5, using the letters with prime as the original image
How to get the scale factorScale factors are used to increase or decrease image. The situation of increment is usually called magnifying.
For the given graph the values with prime is assumed to be the the original shape while the the values without prime represent the factored image.
Taking a point of reference say s' and s. The coordinates of s' and the coordinates of s are ( 2, 4 ) ( 3, 6 ) respectively.
solving for the factor, assuming the factor is k
x axis
2k = 3
k = 3/2 = 1.5
y axis
4k = 6
k = 6/4 = 1.5
This factor works for other coordinates hence we say that the scale factor is 1.5
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Related Questions
A bicyclist rides 14 miles in 112 minutes. If she continues at this speed, how long will it take her to travel 35 miles? Answer quick hurry
Answers
Answer:
280 minutes
Step-by-step explanation:
The new distance travelled is 2.5 times larger than the previous (35/14 = 2.5), therefore, the new time needed to be travelled would also be 2.5 times larger than the original time taken.
[tex]112 \times 2.5 = 280[/tex]
Answer:
it will take her 280 minutes to travel 35 miles
Step-by-step explanation:
miles per hour = miles / hours
or in this case, miles / minutes
[tex]\frac{14 miles}{112 minutes}[/tex]
divide both the top and bottom by 112
[tex]\frac{0.125 miles}{1 minute}[/tex]
= 0.125 miles per minute
35 miles
[tex]35 / 0.125[/tex] = 280
280 minutes
An investment of $34,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third
9%. Total interest from the investments was $2700. The interest from the first investment was 4 times the interest from the second. Find the amounts of the three parts of the investment.
Answers
The amounts of the three parts of the investment are $6000, $10000, and $18000.
How to calculate the values?The total amount invested = $34000
We know that the amount was split into three parts, let the parts be x, y, z
then, x + y + z = 34000 //Equation 1
interest of any part after a year = the amount of the part times it's interest
interest of first part after a year = x* 0.08 // 8% = 8 / 100 = 0.08
interest of second part after a year = y * 0.06
interest of third part after a year = z * 0.09
we know that the total interest earned by the total investment = $2700
i.e, 0.08x + 0.06y + 0.09z = 2700 // Equation 2
Guven that interest from the first investment was 4 times the interest from the second.
i.e, 0.08x = 4 * 0.06y
= x = 3y // substituting this relation in the above eauations
x + y + z = 34000 //Equation 1
3y + y + z = 34000
= 4y + z = 34000 //Equation 3
0.08x + 0.06y + 0.09z = 2700 // Equation 2
= 0.08(3y) + 0.06y + 0.09z = 2700
=0.3y + 0.09z = 2700 // simplyfying the equation by multiplying with 100
= 30y + 9z = 270000 // Equation 4
Solving 3 and 4 equations;
36y + 9z = 306000 //Equation 3 multiplied by 9 to make it simple to solve with equation 4
30y + 9z = 270000
6y = 36000
y = 36000 / 6 = 6000// second part of the investment
x = 3y = 3 * 6000 = 18000 // first part of the investment
z = 34000 - (x + y) // from equation 1
z = 34000 - 24000 = 10000 // third part of the investment.
Therefore, the amounts of the three parts of the investment are $6000, $10000, and $18000.
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12 buckets of water needed to fill a small swimming pool they are approximately 3.8 in 1 gallon if each bucket holds 1.5 gallons what is the volume of water in liters the pool holds
Answers
The volume of water in liters the pool holds is 68.4 liters.
Given, we know that 12 buckets of water is needed to fill the swimming pool.
Pool surface area is calculated by multiplying length by breadth. The volume in cubic meters is calculated by multiplying that by the average depth. Due to the fact that there are 7.5 gallons in every cubic foot, you can convert your results to gallons to get the pool volume.
one bucket holds 1.5 gallons .
There are approximately 3.8 liters in 1 gallon.
Therefore, the volume of the swimming pool = ?
12 buckets holding how many gallons of water = each bucket containing 1.5 gallons × total number of buckets
= 1.5 × 12
= 18
Therefore, total volume of water in the swimming pool = total gallons of water × liters in one gallon
= 18 × 3.8
= 68.4 liters
Hence we get the total volume of the swimming pool as 68.4 liters.
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Abigail buys eggs and oranges at the store.
• She pays a total of $14.71.
• She pays a total of $4.48 for the eggs.
• She buys 3 bags of oranges that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag
of oranges costs.
Answers
that's, she pays $4.48 for eggs.. that simple means that orange is also the same amount of the egg,,,
$4.48×3=$13.44
i.e X=$13.44
Compute the derivatives at the given value of a
Answers
1) The derivative of the function g(x) = (3x - 5)/(x - 2) at a = 1 is; g'(1) = -1
2) The derivative of the function f(x) = √(3x - 4) at a = 2 is; 3/(2√2)
What is the Derivative of the Function?1) We want to find the derivative of the function g(x).
g(x) = (3x - 5)/(x - 2)
g'(x) = -1/(x - 2)²
Thus;
g'(1) = -1/(1 - 2)²
g'(1) = -1
2) We want to find the derivative of the function f(x).
f(x) = √(3x - 4)
f'(x) = 3/(2√(3x - 4))
f'(2) = 3/(2√(3(2) - 4))
f'(2) = 3/(2√2)
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Class A has 14 pupils and class B has 26 pupils.
Both classes sit the same maths test.
The mean score for class A is 73.
The mean score for both classes is 32.
What is the mean score (rounded to 2 DP) in the maths test for class B?
Answers
Answer:
9.92
Step-by-step explanation:
Hope this help you!!
Bertie placed a transparent grid made up of unit squares over each of the shapes she was measuring below. Using her grid, approximate the area of each region.
Answers
The area covered by region 1 is 16 units and that by region 2 is 15 units.
Given the area of a square be 1unit.
So. the number of block completely covered = a
number of block that are coverered approximately half = b .
So, total area covered = 1*a + 0.5 * b
for figure 1.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 8.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 8
= 12 + 4
= 16units
for figure 2.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 6.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 6
= 12 + 3
= 15units
Therefore, the area covered in region 1 is 16 unit and the area covered in region 2 is 15 unit.
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The area covered by region 1 is 16 units and that by region 2 is 15 units.
Given the area of a square be 1unit.
So. the number of block completely covered = a
number of block that are coverered approximately half = b .
So, total area covered = 1*a + 0.5 * b
for figure 1.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 8.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 8
= 12 + 4
= 16units
for figure 2.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 6.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 6
= 12 + 3
= 15units
Therefore, the area covered in region 1 is 16 unit and the area covered in region 2 is 15 unit.
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A sequence is defined recursively using the formula f(n+1)=-0.5f(n). If the first term of the sequence is 120, what is f(5)
Answers
Answer:
The sequence's fifth term is equal to 7.5.
Step-by-step explanation:
It is given in the question that A sequence is defined recursively using the formula f(n+1)=-0.5f(n) and we need to calculate f(5) if the first term of the sequence is 120.
Firstly,
The definition of a series is given by the formula f (n + 1) = -0.5 f. (n).
Now, what will be f(5) if the sequence's initial term is 120, let's calculate;
Recursively, a series is defined as follows;
=> f(n) = 120 if n = 1, otherwise.
Otherwise,
=> f(n) =-0.5f(n-1) if n > 1.
Now,
=> f(1) = 120
=> f(2) = -0.5f(1) = -0.5(120) = -60
=> f(3) = -0.5f(2) = -0.5(-60) = 30
=> f(4) = -0.5f(3) = -0.5(30) = -15
=> f(5) = -0.5f(4) = -0.5(-15) = 7.5
So, For n > 1, f(n) = (-0.5)(n-1) × 120
Therefore, the sequence's fifth term is equal to 7.5.
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translate the verbal phrases into an expressions
7 more than a number b b+
Answers
The algebraic expression for the verbal phrase, "7 more than a number b" is translated as: b + 7.
What is an Algebraic Expression?A mathematical statement that is made up of operation signs (-, +), any variable (letters representing unknown quantity or number that varies), and numbers is referred to as an algebraic expression.
Algebraic expression are simplified or short form of translated phrases.
How to Translate Verbal Phrases into an Algebraic Expression?Let us represent the unknown number in the phrase as b.
"7 more than" means "+ 7".
Thus, the verbal phrase, "7 more than b" would be translated into an algebraic expression as:
b + 7.
Therefore, the algebraic expression for the verbal phrase, "7 more than a number b" is translated as: b + 7.
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Please answer correctly, my grade depends on it also i'd help if you asnwer my other questions but only if you want to.
Answers
The domain are the independent variables for which an expression or equation exists. The domain of the graph in interval notation will be [-9,7]
Domain of a graph.The domain are the independent variables for which an expression or equation exists.
The given graph is described as a piecewise function since there are several lines that make up the graph.
The domain of the function are the value that lies along the x-axis of the line graph while the range are values of the function along the y-axis of the line graph.
The domain of the graph in interval notation will be [-9,7]. Note that both brackets are closed since the circles are shaded.
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OMG PLS HELP ME!!!! 30 pts!!!!! I NEED DIS ASAP
A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.
If you start at Parking B and take the elevator to the fourteenth floor, how many levels have you gone up? [Type your answer as a number.]
Answers
Answer:
16
Step-by-step explanation:
there is 2 underground and 14 above so 2 + 14 = 16
Solve and put your final answer in the box
2 1/3 × -4/5
Answers
PLEASE SHOW YOUR WORK AND PLEASE HELP ME ON THIS QUESTION THANK YOU.
Mrs. Steinberg had 3.23 pounds of ground beef to make 0.5 lb hamburgers. Which two expressions shows how to correctly solve for the number of hamburgers Mrs. Steinberg could make?
Answers
The sum of 3 times a number and -8 added to 7 times the number
Answers
Answer:
(3x+-8) + 7x
Pls mark brainliest
1.7% of 35 is what number?
Answers
Answer:
0.595
Step-by-step explanation:
I multiplied 1.7 by 35 and moved the decimal.
Find the cost per pound of coffee mixture made from 8 pounds of coffee that cost $9.70 per pound in 14 pounds of coffee that cost $5.30 per pound?
Answers
Answer:
The total amount of the new coffee mixture would be:
8 + 12 = 20 (pounds)
The price of 20 pounds of coffee mixture would be:
8(9.2) + 12(5.5) = 139.6 (dollars).
Therefore, the average price would be:
139.6/20=6.98 (dollars).
Answer: $6.98 per pound.
Help please I’m struggling
Answers
In this picture provided, x appears to be less than three. Because it is in absolute value form, any number substituted for x is positive. This means that the numbers 3, 2, 1, and 0 are all answers to part B.
In the second graph of part B, x is greater than or equal to 3. This would mean any number that is 3 or more would be a solution.
Identify the type of function represented by f(x) = ½ • (5)ª.
OA. Increasing linear
OB. Decreasing linear
O C. Exponential growth
OD. Exponential decay
Answers
The correct answer is C. Exponential growth. As the function given f(x) = ½ • (5)ª is in exponential form, its range f(x) will increase for any input x.
What is termed as Exponential growth?Exponential growth happens when the larger you are, the faster you grow, making you even larger. Compound interest or population growth characterizes growth.It is termed exponential growth because it is only mathematically described by multiplying time by the exponent or power of the base. The population is then equal to some arbitrary number to a power of the growth rate multiplied by the time. Typically, the arbitrary number is 2, and the growth rate is given as the reciprocal of a doubling time.The given function is defined as;
f(x) = ½ • (5)ª
As, the function is written in the exponent form or power form , its is said to be exponential function.
Now, for any increasing value of x, the value of function will also increase but with increasing difference.
Thus, the function is termed as the exponential growth function.
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f / 5 -12 = -15. what does f equal to?
Answers
Answer:
f = -15
Step-by-step explanation:
f/5 - 12 = -15
+12 | +12
f/5 = -3
*5 | *5
f = -15
+12. +12
f/5. = -15
*5. *5
f. = -3
The 100th term of 1, 7, 13, 19, … is
Answers
[tex]Consider \: the \: sequence \: u_{n} \\ u_{n} \: appears \: to \: be \: arithmtic[/tex]
Quick Proof:[tex]u_{4}-u_{3}=u_{3}-u_{2}=... \\ 19 - 13 = 13 - 7 = .. \\ 6 = 6 = ...[/tex]
[tex]u_{n} \: is \: arithmetic \: with \: d = 6 \:and \: u_{1} = 1 \\ [/tex]
[tex]u_{n} = u_{1}+(n-1)d \\ u_{100} = 1 + (100 - 1)6 \\ u_{100} = 595[/tex]
write ____ as a single power of 7
Answers
Answer:
[tex]7^{7/2}[/tex]
Step-by-step explanation:
[tex]7^3 \times \sqrt{7} \\ \\ =7^3 \times 7^{1/2} \\ \\ =7^{7/2}[/tex]
A patient is to receive 0.25 mg of Medication A per kg of body weight per day. If the patient is a 157 lb man, how much medication A will he need?
Answers
The patient needs 17.66 mg of medication A .
Unitary method is "A way of finding a single-unit value from a multi-unit value, and then finding a multi-unit value from a single-unit value."For simplicity, always write what you calculate on the right and what you know on the left.In order to do that, we must first find the value of one thing by division and then find the value of more or fewer things by multiplication.It is given that a patient has weight 157 lbs.
We apply division because we need to find the cost of one item given the cost of many items. If you need to find the cost of many items from the cost of one item, apply the multiplication operation.
We need to convert this weight in kilogram using unitary method , we get 1 pound have = 0.45 kilogram
157 pound will have [tex]=157\times0.45[/tex]
[tex]=70.65[/tex] kilogram
A patient receive 0.25 mg of Medication A per kg
Using unitary method , we get
1 kg of body receives = 0.25 mg of medication A
70.65 kg of body receives [tex]=0.25\times 70.65[/tex]
[tex]=17.66[/tex] mg of medication A
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(8m-3n)(5m+9n) simplify
Answers
Answer:
40m² + 57mn - 27n²
Step-by-step explanation:
(8m - 3n)(5m + 9n)
each term in the second factor is multiplied by each term in the first factor, that is
8m(5m + 9n) - 3n(5m + 9n) ← distribute both parenthesis
= 40m² + 72mn - 15mn - 27n² ← collect like terms
= 40m² + 57mn - 27n²
What number is composed of 6 hundreds, 30 ones, 2 tenths, 4 hundredths, and 6 thousandths?
Answers
6 hundreds+ 30 ones = 630
630 + 2 tenths+ 4 hundredths + 6 thousandths=
630.246Which of the following can be used to correctly solve the equation -1/3x=18?
____________________________________________________________________
1. Multiply both sides of the equation by -1/3
2. Divide both sides of the equation by -1/3
3. Multiply both sides of the equation by -3
4. Divide both sides of the equation by -3
5. Add 1/3 to both sides of the equation
6. Subtract 1/3 from both sides of the equation
Answers
Answer:The answer is the first one multiply both sides of the equation by -1/3
Step-by-step explanation:please give brainliest.
(-3)(-1/3x) = (18)(-3)
Find x in the diagram below
Answers
Answer:
x=30 degrees
Step-by-step explanation:
both triangles are congruent therefor x will be the same as angle BAD
3^2*7^8*13^6 /21^2*91^3
Answers
Answer:
1897612903782531117or9×
The function y = 2.5x + 3 can be used to determine the cost in dollars for a taxi ride of x miles.
What is the rate of change of the cost in dollars with respect to the number of miles?
$5.50/mile
$1/mile
$3/mile
$2.50/mile
Answers
Answer:
C. $2.50
Step-by-step explanation:
x=1 y=5.5
x=2 y=2.5
ill give brainly and 10 points
Answers
Answer: 135
Step-by-step explanation:
313 - 178 = 135
If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion? When a number is divisible by 9, the number is divisible by 3. Then the number is divisible by 3 Then the number is divisible by 9 If a number is divisible by 3 If a number is divisible by 9
Answers
Correct conclusion for statement : When a number is divisible by 9, the number is divisible by 3 is "the number is divisible by 3".
What is statement and conclusion ?
The statement and conclusion section is basically a logical reasoning section, in which a statement is given followed by a few conclusions from which you are supposed to choose the one that makes the most sense logically after the statement.
The statement provided is:
When a number is divisible by 9, the number is divisible by 3.
The general form of a conditional statement in if-then form is :
p → q
This implies that if p, then q.
The part after the "if" is known as the hypothesis and the part after the "then" is known as the conclusion.
The if-then form of the provided statement is:
If a number is divisible by 9, then the number is divisible by 3.
So, the conclusion is:
"the number is divisible by 3"
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Answer: A (then the number is divisible by 3)
Step-by-step explanation: did it on edge