Step-by-step explanation:
in what form do you need the equation ?
I assume it is the slope-intercept form :
y = ax + b
"a" being the slope of the line, "b" being the y-intercept of the line.
the slope of a line is the ratio
y-coordinate difference / x-coordinate difference
when going from one point on the line to another.
and the y-intercept (y-axis intercept, to be precise) is the y-value when x = 0.
so, starting with the slope, we go for example from (1, 6) to (6, 1) :
x changes by +5 (from 1 to 6).
y changes by -5 (from 6 to 1).
so, the slope is
-5/+5 = -1
so, we know, our equation looks like
y = -x + b
to get "b" we use one of the points, e.g. (1, 6) :
6 = -1 + b
b = 7
and our final equation is
y = -x + 7
26). Is Δ EFG ≅ Δ HIJ?
27). What is the scale factor of Δ EFG to Δ HIJ?
28). What is the ratio of their perimeters?
29). What is the ratio of their areas?
The triangles are not congruent.
Given that, two triangles, EFG and HIJ are similar,
So,
Since, the triangles are similar, but according to the definition of similarity, two objects that are similar are not necessarily congruent,
so the Δ EFG is not congruent to Δ HIJ.
Cos 30° = HI / HJ
√3/2 = 3/HI
HI = 3.5
Therefore, the scale factor Δ EFG to Δ HIJ = EF / HI = 10/3.5 = 2/0.7
The ratio of perimeter of similar objects are same as the scale factor,
so, the ratio of their perimeters = 2/0.7
The ratio of the areas of the similar objects are the ratios of the squares of the scale factor.
So, the ratio of their areas = 4/0.49
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Select the correct answer from each drop-down menu.
The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people. The town's tax status will change once the population is below 6,000 people.
Create an inequality that can be used to determine after how many years, t, the town's tax status will change, and use it to answer the question below.
___.(___).t<___
Will the town's tax status change within the next 3 years?____
The answer is below., the town's tax status should change within the next 3 years.
An exponential decrease can be represented by the formula:
y = ab^x
where a is the initial amount and b < 1.
Let p represent the population after t years, hence:
p = ab^t
Since the population decreases exponentially at a rate of 14.3% each year, hence:
b = 100% - 14.3% = 85.7% = 0.857
b = 0.857
Also, a = 9400 people
Therefore the equation is:
p = 9400(0.857)^t
The town's tax status will change once the population is below 6,000 people, therefore:
9400(0.857)^t < 6000
for the tax status to change.
At t = 3 years:
p = 5917
so, 5917< 6000
the town's tax status should change within the next 3 years.
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riangle NMO is drawn with vertices N(−5, 2), M(−2, 1), O(−3 , 3). Determine the image vertices of N′M′O′ if the preimage is reflected over x = −2.
N′(5, −2), M′(2, 1), O′(3, 3)
N′(−2, 2), M′(1, 1), O′(0, 3)
N′(1, 2), M′(−2, 1), O′(−1, 3)
N′(−5, −2), M′(−2, −1), O′(−3, −3)
The vertices after transformation are N′(1, 2), M′(−2, 1), O′(−1, 3).
We have,
N(−5, 2), M(−2, 1), O(−3 , 3).
We know the rule to reflect over a vertical line x =a is
(x, y) --> (-x-2a, y)
So, for x=2 the rule will be
(x, y) --> (-x-4, y)
Now, the vertices after transformation are
M(-2, 1) -> M'(-2, 1)
N(-5, 2) -> N'(1, 2)
O(-3, 3) -> O'(-1, 3)
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The height and radius of a cone are each multiplied by 3.
What effect does this have on the volume of the cone?
The volume of the cone is multiplied by
PLEASE HELP ASAPP !!!!!!!!!!!!!!!!!!!!!
The value of m for the quadratic equation, 2x² - 28x + 7m = 0 to have one solution is 14.
How to solve quadratic equation?She said the quadratic equation 2x² - 28x + 7m = 0 has only one solution for some value of m.
Therefore, the exact value of m which give the quadratic equation exactly one solution can be calculated as follows:
Therefore, a quadratic equation has one solution when the discriminant is zero.
Hence,
b² = 4ac
a = 2
b = -28
c = 7m
Therefore,
(-28)² = 4 (2)(7m)
784 = 56m
divide both sides by 56
m = 784 / 56
m = 14
Therefore,
m = 14
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Peter’s teacher says he may have his report card percentage based on either the mean or the median and he can drop one test score if he chooses.
84%, 71%, 64%, 90%, 75%, 44%, 98%
Which measure of center should Peter choose so he can have the highest percentage possible?
Peter should choose the mean after dropping one test score.
Peter should choose the mean without dropping one test score.
Peter should choose the median after dropping one test score.
Peter should choose the median without dropping one test score.
Answer:
A.
Step-by-step explanation:
Peter should choose to base his report card percentage on the median if he wants to have the highest percentage possible. To calculate the median, Peter would first order the scores from lowest to highest: 44%, 64%, 71%, 75%, 84%, 90%, 98%. Then, he would select the middle score as the median, which is 75%. If Peter drops his lowest score (44%), his percentage based on the median would be 80% ((64%+71%+75%+84%+90%+98%)/6). If he were to choose the mean, his percentage would also be 80%. However, since the median is not affected by extreme values like the 44% score, it is a more reliable measure of central tendency in this case.
I did this on homework b4 and got It right so this Is 100 percent right.
Answer:
Peter should choose the median after dropping one test score so he can have the highest percentage possible.
If we calculate the mean of all seven test scores, we get:
(84+71+64+90+75+44+98)/7 = 73.14%
If we calculate the median of all seven test scores, we get:
Arrange the scores in ascending order:
44, 64, 71, 75, 84, 90, 98
The median is 75.
If we drop the lowest score (44) and calculate the mean of the remaining six test scores, we get:
(84+71+64+90+75+98)/6 = 80.5%
If we drop the lowest score (44) and calculate the median of the remaining six test scores, we get:
Arrange the scores in ascending order:
64, 71, 75, 84, 90, 98
The median is 79.5%.
Therefore, Peter should choose the median after dropping one test score to have the highest possible percentage.
1. A limit imposed by the government on the quantity of a good or product that can be brought into the
country is called a
a. tariff
b. quota
c. foreign bill of exchange
d. value added tax
2. Which of the following would not be an effective argument for the U.S. to enact trade restrictions?
Oa.
a. they shield U. S. workers from competition by cheap foreign labor
b. they may benefit the security and defense of the nation
c. they help the U.S. maintain diverse industries
Od. they make foreign products cheaper to U.S. shoppers
3. What does it mean if a country is on the gold standard?
Oa.
a.
it sets the value of its currency in relation to a specific amount of gold
Ob. it creates specific standards by which gold is made into jewelry
c. it uses gold instead of paper currency
Od. none of these
4. Economists tend to classify a country as less developed if the country's average level of Income is less
than
a. $9,500 per person
b. the average per-person-income of neighboring countries
Oc. $3,040 per person
C.
Od. a U.S. welfare recipient's income
5. Which of the following would not be considered a barrier to economic development?
a. high levels of political corruption
Ob. low population growth
Oo
Od. shortage of investment capital
c. low human capital
1) b. quota
2) d. they make foreign products cheaper to U.S. shoppers
3) a. it sets the value of its currency in relation to a specific amount of gold
4) c. $3,040 per person
5) b. low population growth
We have,
1)
A limit imposed by the government on the quantity of a good or product that can be brought into the country is called a quota.
Tariffs, on the other hand, are taxes imposed on imported goods, while foreign bills of exchange refer to payment methods in international trade, and value-added tax (VAT) is a tax on the value added to goods and services.
2)
The argument that enacting trade restrictions makes foreign products cheaper to U.S. shoppers is not effective because it is contradictory.
Trade restrictions, such as tariffs or quotas, are intended to make foreign products more expensive and protect domestic industries from foreign competition.
3)
If a country is on the gold standard, it means that it sets the value of its currency in relation to a specific amount of gold.
The value of the currency is directly linked to the amount of gold held in reserves by the government and can be exchanged for gold at a fixed rate.
4)
Economists tend to classify a country as less developed if the country's average level of income is less than $3,040 per person.
This is the World Bank's definition of low-income countries, which are typically characterized by high levels of poverty, limited access to education and healthcare, and underdeveloped infrastructure.
5)
Low population growth is not considered a barrier to economic development.
In fact, some economists argue that high population growth can put a strain on resources and hinder economic development.
Barriers to economic development typically include factors such as political corruption, lack of investment capital, and low levels of education and human capital.
Thus,
1) b. quota
2) d. they make foreign products cheaper to U.S. shoppers
3) a. it sets the value of its currency in relation to a specific amount of gold
4) c. $3,040 per person
5) b. low population growth
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Please answer all 3 questions and don’t comment unless it’s relevant to the questions on the image
The difference between area and volume is that:
8. Area describes the space taken up by two-dimensional objects whereas volume describes the space taken up by three-dimensional objects. The area can be measured in square meters (m²) and square kilometers (km²), whereas, volume can be measured in cubic millimeters (mm³), and cubic meters (m³).
9. The volume of the cube is D. 12 cubic units.
How to calculate the volume of a cubeTo calculate the volume of a cube, we multiply all three sides. The formula is V = S³.
So, for the cube shape with the given three sides, we can obtain the volume by executing the following operation:
1 × 2 × 6
12 cubic units. Option D is thus correct.
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What is the surface area of a right cone with a diameter of 15 units and a slant height of 34 units?
The surface area of the right cone is 800.7 squared unit.
What is surface area?The surface area of a three-dimensional object is the total area of all its faces.
To calculate the surface area of the right cone, we use the formula below
Formula:
S.A = πrl.................. Equation 1From the question,
Given:
π = Pie = Constantr = Radiusl = Slight heightFrom the question,
Given:
r = 15/2 = 7.5 unith = 34 unitSubstitute these values into equation 1
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Which system of linear equations has no solutions?
a) y = 4x +1 y= -4x + 1
b) y= 2x + 7 y= 2x - 7
c) 3x + y =1 6x + 2y =2
d) 5x + y =3 x + 5y = 15
Answer:
b)
Step-by-step explanation:
a) y = 4x +1 y= -4x + 1
Different slopes; same y-intercept; lines intersect at 1 point; there is 1 solution.
b) y= 2x + 7 y= 2x - 7
Same slopes; different y-intercepts; parallel lines do not intersect; no solution.
c) 3x + y =1 6x + 2y =2
Equations are the same; infinite number of solutions.
d) 5x + y =3 x + 5y = 15
Different slopes; lines intersect at 1 point; there is 1 solution.
Answer: b)
15. An airplane pilot over the Pacific sights a ship at an angle of depression of 30.
The horizontal distance from the airplane to the ship is 4629 meters. What is the height of the plane to the nearest meter?
The height of the plane to the nearest metres is 243 metres.
How to find the side of a right triangle?An airplane pilot over the Pacific sights a ship at an angle of depression of 3 degrees. The horizontal distance from the airplane to the ship is 4629 meters.
Therefore, the height of the plane can be found as follows:
Hence, using trigonometric ratios,
tan 3 = opposite / adjacent
Therefore,
tan 3° = x / 4629
cross multiply
x = 4629 tan 3°
x = 242.595610301
Therefore,
height of the plane = 243 metres.
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A lodestone is a natural magnet that attracts iron and steel the force required to pull a magnet free from steel plate is called pull force certain magnet has a pull force of 2.2 pounds right this pull force as a mixed number
We can write the pull force of the magnet as [tex]2 \frac{1}{5} pounds[/tex].
What is the mixed number representation of the pull force?A mixed number refers to number that contains both an integer (whole number) and a proper fraction (a fraction whose numerator is less than its denominator).
To represent the pull force as a mixed number, we must to convert the decimal 0.2 to a fraction. Since 0.2 is equal to 1/5, we can write it as 2 and 1/5 pounds/ Therefore, the mixed number representation of the magnet's pull force of 2.2 pounds is 2 1/5 pounds.
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please help 3/4 divided by 1/8
Answer:
6
Step-by-step explanation:
please help 3/4 divided by 1/8
3/4 : 1/8 =
3/4 x 8 =
24/4 =
6
Please help I reallllly need the help
There are 300 grams in 1500 ml of the 20% solution.
We can use the concept of proportions to solve this problem.
A 20% solution contains 20 grams in 100 ml.
This means that for every 100 ml of solution, there are 20 grams of the solute.
To find out how many grams are in 1500 ml of the solution, we can set up a proportion:
20 grams/100 ml = x grams/1500 ml
where x is the number of grams in 1500 ml.
To solve for x, we can cross-multiply and simplify:
100x = 20 × 1500
100x = 30,000
x = 300 grams
Therefore, there are 300 grams in 1500 ml of the 20% solution.
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At what values of x does f(x)=0?
Answer:
f(x) = 0 at x = -2, 1, 3
A, B, and D are the correct choices.
Triangle ABC is congruent to triangle DEF.
Which statement must be true about the triangles?
Responses
AC, = , EF
m∠B=m∠F
m∠A=m∠D
BC = DE
Answer:
the third one: m<a = m<d
Two random samples of people were selected to help choose a spring window display for a department store.
1a. Inferring from the facts that Sample 2—which is larger than Sample 1—received the most votes,
we may infer that "Butterflies and Ladybirds" would be the most widely chosen option for the spring window show.
1b. This hypothesis is plausible given that a bigger sample size often yields more accurate results and can more accurately reflect the population as a whole.
Furthermore, the fact that "Butterflies and Ladybirds" garnered the most votes across the board implies that it is a widely accepted pick.
2a. The statistics should not be used to draw the conclusion that the spring window displays "Flower Garden" and "April Showers" are unpopular options.
They got fewer votes than "Butterflies and Ladybirds," but they still got a lot of votes from both samples.
2b. This conclusion should not be drawn since the data only reflects the opinions of the chosen samples and might not fairly represent the opinions of the general community.
Personal prejudices and preferences may have also had a role in the outcomes, and there may be more variables (such as cost or availability) that might have an impact on the decision about the spring window display.
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Complete question:
Two random samples of people were selected to help choose a spring window display for a department store. The results are shown in this table.
"Flower Garden"
Number of Votes from Sample 1 =35
Number of Votes from Sample 2=21
"April Showers"
Number of Votes from Sample 1 =16
Number of Votes from Sample 2=15
"Butterflies and Ladybugs"
Number of Votes from Sample 1 =27
Number of Votes from Sample 2=42
1a. What prediction can you make from the data?
1b. Explain why your prediction is reasonable.
2a. What conclusion should not be made from the data?
2b. Explain why the conclusion should not be made.
Please answer the question
Answer: B, 83.
Step-by-step explanation: Just use long division as shown below, hope this helps! :)
How can you eliminate the y-terms in this system?
To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.
We have,
To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.
This will result in the y-terms canceling out, and we will be left with only x-terms on one side of the equation, which we can then solve for x.
So, multiplying the second equation by 2, we get:
2(3x + 4y) = 2(5)
6x + 8y = 10
Now, adding this to the first equation, we get:
4x - 8y + 6x + 8y = 20 + 10
10x = 30
Dividing both sides by 10, we get:
x = 3
Now, we can substitute this value of x back into either of the original equations to solve for y.
4x - 8y = 2
So,
4(3) - 8y = 20
12 - 8y = 20
-8y = 8
y = -1
Therefore,
The solution to the system of equations is (x, y) = (3, -1).
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Determine how many liters a right circular cylindrical tank holds if it is 6 m long and 13 m in diameter.
The tank holds approximately 994,040 liters.
To solve this problem
The volume of a right circular cylinder is given by the formula:
V = πr^2h
Where
r is the radius of the cylinderh is its height π is a mathematical constant approximately equal to 3.14159The cylinder's diameter is specified as 13 m, hence the radius may be computed using the formula: r = d/2 = 13/2 = 6.5 m
The cylinder is described as having a 6 m length.
These values are substituted into the volume calculation to produce the following result:
V = π(6.5)^2(6)
V ≈ 994.04 cubic meters
Since 1 cubic meter equals 1000 liters, we can convert the volume to liters by multiplying by 1000.
V = 994.04 cubic meters x 1000 liters/cubic meter
V = 994,040 liters
Therefore, the tank holds approximately 994,040 liters.
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PQRS is a rhombus. ∠ SPQ = 120° and SP = 8.
Find each of the following.
20). ∠ SPO
21). ∠ POS
22). ∠ PSO
23). ∠ PO
24). ∠ SO
25). ∠ The area of PQRS
In the rhombus PQRS, if angle ∠ SPQ = 120° then ∠SPO is 30°
∠POS is 90° and ∠PSO is 60 degrees, ∠PO is 90° and ∠SO is 150°
PQRS is a rhombus.
∠ SPQ = 120° and SP = 8.
We have to find angles,∠SPO = (180° - ∠SPQ) / 2
= (180° - 120°) / 2
= 30°
∠POS = 90°
Now we have to find angle PSO
∠PSO+∠SPO+∠POS =180
30+90+∠PSO=180
120+∠PSO=180
∠PSO=180-120
∠PSO=60 degrees
∠PO = 360° / 4 = 90°
∠SO = 180° - ∠POS = 180° - 30°
= 150°
The area we find by using formula diagonal 1 × diagonal 2/2
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Is AB a tangent? Why or Why not? (Hint: use Pythagorean Theorem)
Answer:
AB is not a tangent. The lengths 4, 12, and 13 do not form a right triangle.
√(4^2 + 12^2) = √160, which is not equal to 13.
Answer:
No
Step-by-step explanation:
if AB is a tangent the the angle BAC = 90°
using Pythagoras' theorem
then square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
BC² = 13² = 169
AB² + AC² = 12² + 4² = 144 + 16 = 160
since BC²≠ AB² + AC²
then Δ ABC is not a right triangle so AB is not a tangent
Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
Answer:
To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:
A' = (-3, 3 + 3) = (-3, 6)
B' = (0, 7 + 3) = (0, 10)
C' = (-3, 0 + 3) = (-3, 3)
Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).
So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).
really need some help
Answer:
192.7 cm³
Step-by-step explanation:
You want the volume of a regular pentagonal prism with a base side length of 4 cm and a height of 7 cm.
Base areaThe area of a regular n-gon is given by the formula ...
A = n·s²/(4·tan(180°/n))
For n=5 and s=4 cm, the area of the prism base is ...
A = 5·(4 cm)²/(4·tan(36°)) = 20/tan(36°) cm² ≈ 27.528 cm²
VolumeThe volume of a prism is ...
V = Bh
where B is the base area, and h is the height. Here, we have h=7 cm, so the volume is ...
V = (27.528 cm²)(7 cm) ≈ 192.7 cm³
The volume of the interior of the box is about 192.7 cm³.
Instructional Item 2
Use the properties of exponents to create an equivalent expression for the given expression
shown below with no variables in the denominator.
(64x²)-^-1/6(32x^5)^-2/5
For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
<95141404393>
Calculus problem. Can anybody solve this? Thank you.
Sally can solve minimum of 35 calculus problem and maximum of 50 calculus problem.
We know,
Calculus is a branch of mathematics that focuses on rates of change, to put it simply. For instance, you might want to determine how quickly a car will slow down as it approaches a stop sign. Calculus can assist you in calculating that change. Calculus introduces movement into math, that's correct!
Calculus is useful in many different fields, including engineering, medicine, biological research, economics, architecture, space science, electronics, statistics, and pharmacology.
minimum = 35
maximum=50
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complete question:
Sally completely solves at least 7 calculus problems per hour and at most 10 calculus problems per hour. Based on this information, what is a possible number of calculus problems that Sally can completely solve in five hours?
1) Complete one drawing of each regular polygon: equilateral triangle, square, and regular hexagon, following the animations. 2) Create a design based on one of the 3 polygons. 3) Write a description of your design. Include the following information: How many lines of symmetry does the design have? How many degrees does the design need to be rotated to match itself? (Hint: See the polygons at the start of the lesson.) How did you decide to color your design? What patterns do you see in your design? please help also please just don't take the points i'm giving 15 points
A polygon is a geometric object with two dimensions and an infinite number of sides. Drawing of each regular polygon: equilateral triangle, square, and regular hexagon can be drawn in the image.
A polygon is a geometric object with two dimensions and an infinite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end. As a result, a polygon's line segments are referred to as its sides or edges.
Vertex or corners refer to the intersection of two line segments, where an angle is created. Having three sides makes a triangle a polygon. Drawing of each regular polygon: equilateral triangle, square, and regular hexagon can be drawn in the image.
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How does subtraction used to find. Lengths of line segments
The measure of the line segment XY is 54 units.
Since,
A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.
Given that,
W is between X and Y, WX = 38 and WY = 16.
Here, Length of segment XY is sum of measure of line segments WX and WY, we get
XY=WX+WY
XY=38+16
XY = 54 units
Therefore, the measure of XY is 54 units.
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"Your question is incomplete, probably the complete question/missing part is:"
Find the length of XY if W is between X and Y, WX = 38 and WY = 16. XY = ?
(a) How much stronger is a magnitude 7 earthquake than a magnitude 6 earthquake?
_____ times as strong
(b) How much stronger is a magnitude 9 earthquake than a magnitude 6 earthquake?
_____ times as strong
a. The magnitude of earthquake 7 is 1.259 times stronger than a magnitude 6 earthquake
b. The magnitude of earthquake 9 is 1.995 times stronger than a magnitude 6 earthquake
What is the magnitude of an earthquake?The magnitude of an earthquake is given by M = 10㏒(A/A₀) where A = intensity of eartquake and A₀ = standard intensity
a. To find out how much stronger is a magnitude 7 earthquake than a magnitude 6 earthquake, we proceed as folllows.
For a magnitude of 7,
M = 7 and intensity = A'So, M = 10㏒(A'/A₀)
7 = 10㏒(A'/A₀) (1)
For a magnitude of 6,
M = 6 and intensity = A"So, M = 10㏒(A'/A₀)
6 = 10㏒(A"/A₀) (2)
Subtracting (2) from (1), we have that
7 - 6 = 10㏒(A'/A₀) - 10㏒(A"/A₀)
1 = 10㏒[(A'/A₀) ÷ (A"/A₀)]
1 = 10㏒[(A'/A")
㏒[(A'/A") = 1/10
Taking inverse logarithm, we have
(A'/A") = ¹⁰√10
= 1.259
So, it is 1.259 times stronger
b. To find out how much stronger is a magnitude 9 earthquake than a magnitude 6 earthquake, we proceed as folllows.
For a magnitude of 9,
M = 9 and intensity = A'So, M = 10㏒(A'/A₀)
9 = 10㏒(A'/A₀) (1)
For a magnitude of 6,
M = 6 and intensity = A"So, M = 10㏒(A'/A₀)
6 = 10㏒(A"/A₀) (2)
Subtracting (2) from (1), we have that
9 - 6 = 10㏒(A'/A₀) - 10㏒(A"/A₀)
3 = 10㏒[(A'/A₀) ÷ (A"/A₀)]
3 = 10㏒[(A'/A")
㏒[(A'/A") = 3/10
Taking inverse logarithm, we have
(A'/A") = 10⁰°³
= 1.259
So, it is 1.995 times stronger
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