we are allowed to change the vertical axis on a line chart.
why we need to change the vertical axis?suppose we have a large range of value needed to plot along the vertical and horizontal axis, but the current line chart cannot meet this demand. in such cases, we can customize the scales to provide more vertical and horizontal spaces.
what is dramatic slope?dramatic slopes are the steep slopes of a straight line calculated by vertical and horizontal coordinate of two points laying on it. By changing the vertical axis as well as the horizontal axis we can plot a graph of a straight line more properly and finally more dramatic slope is visible there.
hence, we can change the scale values on a line chart to meet the requirement of the plot.
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Simplify.
√3/√8
Responses
√6/8
√6/4
√3/4
√24/8
Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
Answer: 6/4
Step-by-step explanation:
Pull terms out from under the radical.
3
(
8
√
8
)
Multiply
8
by
3
.
3
√
8
The result can be shown in multiple forms.
Exact Form:
6
√
4
Decimal Form:
0.61237243....
Find the value of x and snow work please .
Applying angle relationships, the value of x in each figure is determined as:
E. x = 8
F. x = 26
I. x = 9
J. x = 4
How to Apply Angle Relationship to Find the Value of x?Using angle relationship based on the angles involved, create an equation in each case, to enable you find the value of x.
E. 27 + 8x - 1 = 90 [the angle relationship is that they are complimentary angles].
Solve for the value of x:
26 + 8x = 90
8x = 90 - 26
8x = 64
x = 8
F. 7x - 44 = 75 + 63 [vertical angles are congruent]
7x = 182
7x/7 = 182/7
x = 26
I. 180 - (5x - 3 + 13x + 4) = 17 [vertical angles are congruent]
180 - (18x + 1) = 17
180 - 18x - 1 = 17
179 - 18x = 17
-18x = 17 - 179
-18x = -162
x = 9
J. 3y + 10 = 5y - 24 [vertical angles are congruent]
Solve for y
3y - 5y = -10 - 24
-2y = -34
y = 17
Find the value of x:
3y + 10 + 9x + 1 + 82 = 180 [angles on a straight line equals 180 degrees]
3y + 9x + 93 = 180
Plug in the value of y
3(17) + 9x + 93 = 180
51 + 9x + 93 = 180
9x + 144 = 180
9x = 180 - 144
9x = 36
x = 4
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The expected annual returns are 15% for investment 1 and 12% for investment 2. The standard deviation of the first investment’s return is 10%; the second investment’s return has a standard deviation of 5%. Which investment is less risky based solely on standard deviation? Which investment is less risky based on coefficient of variation? Which is a better measure given that the expected returns of the two investments are not the same?
a) Investment B is less risky based solely on the standard deviation.
b) Based on the coefficient of variation, Investment B is less risky.
c) The better measure of expected returns of the two investments is the coefficient of variation.
What is the coefficient of variation?The coefficient of variation shows how spread out or variable the standard deviation is to population mean.
It is a ratio of the standard deviation compared to the population mean.
A higher coefficient of variation shows a greater dispersion or risk.
The formula for the coefficient of variation is given as follows:
Coefficient of Variation (CV) = (Standard Deviation/Mean) × 100.
Investments A B
Expected annual returns 15% 12%
Standard deviations 10% 5%
Coefficient of variation = Standard deviation ÷ Expected annual returns x 100
Investment A = 66.67% (0.10/0.15 x 100)
Investment B = 41.67% (0.05/0.12 x 100)
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a train leaved the station at 5=0 traveling at a constasnt speed the train travels 360 kilometer in 3 hours Write a function that relates the distance traveled d to the time t
The function is determined using speed and is found to be d = 120t.
What is speed?Speed is generally the change in distance per unit time. (rate of change of distance)
What is the formula of speed?To calculate speed, we will use speed = distance/time.
speed = 360/3
= 120km/hr
Since, the train is moving with a constant speed the ratio of distance and time will be equal to 120 throughout the journey.
120 = d/t
Hence, d = 120t.
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Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
The value of the expression -8.3 + 9.2 - 4.4 + 3.7 is 0.2.
What is Number system?A number system is defined as a system of writing to express numbers.
Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7.
The given expression is -8.3 + 9.2 - 4.4 + 3.7.
The additive inverse should be as below
8.3-9.2+4.4-3.7
It is the error of Allens work.
-8.3 + 9.2 - 4.4 + 3.7.
-8.3-4.4+9.2+3.7
-12.7+12.9
Apply commutative property
12.9-12.7
0.2
Hence, 0.2 is the value of the expression -8.3 + 9.2 - 4.4 + 3.7.
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Name three equivalent fractions to ⅔
Answer:
4/6, 6/9, 8/12, 10/15
Step-by-step explanation:
A store is selling an NBA jersey for $60 that has been discounted by 25%. What is the original selling price?
The original selling price is $80 if A store is selling an NBA jersey for $60 that has been discounted by 25%.
Define discount.The difference between the purchase price and the item's par value is the discount. Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.
Given,
Discount = 25%
Selling price = $60
Original price = x
Original price
= Selling price/1 - discount
= 60/ 1 - 0.25
= 60/ 0.75
= 80
The original selling price is $80 if A store is selling an NBA jersey for $60 that has been discounted by 25%.
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What is the value of 2cos2(105⁰) − 1? Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction Negative one-half One-half StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answer: - sqrt3/2
Step-by-step explanation:
2 people paint at the rate of 45 m² per hour to finish painting the
house on schedule.
At what rate would 6 people have to paint at, in m², to finish exactly
on schedule?
The rate at which 6 people will paint the house will be 135 [tex]m^{2}[/tex] per hour
What is Unitary Method ?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
According to the Given information
Applying Unitary Method
House painted by 2 people at the rate = 45 [tex]m^{2}[/tex] per hour
House painted by one person at the rate = [tex]\frac{45}{2}[/tex] [tex]m^{2}[/tex] per hour
House painted by 6 people at the rate = [tex]\frac{45}{2}[/tex]× 6 [tex]m^{2}[/tex] per hour
= 135 [tex]m^{2}[/tex] per hour
Hence
The rate at which 6 people will paint the house will be 135 [tex]m^{2}[/tex] per hour
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Find the area between the curves y=x^2 and y=-3*x
the area between the curves y=[tex]x^{2}[/tex] and y=-3x is 9/2 sq units
What is the area of the curve?By performing a definite integral between the two point, one may determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a & x = b. With the specified restrictions, integration may be used to compute this area.
The area between the curves y=[tex]x^{2}[/tex] and y=-3x
y=[tex]x^{2}[/tex] and y=-3x
firstly calculated the point of intersection. y = y
[tex]x^{2}[/tex] = -3x
[tex]x^{2}[/tex] + 3x = 0
x( x+ 3) = 0
x = 0 , x = -3
point of intersection is 0 , -3
Area = [tex]\int\limits _ {} \, x^{2} + 3xdx[/tex] from -3 to 0
Area = [ [tex]x^{3}/3 + 3x^{2} /2[/tex] ] from -3 to 0
Area = [ -27/3 + 27/2 ]
Area = [ -9 + 27/2]
Area = [-18 + 27] / 2
Area = 9/2 sq units
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Read the following statement: All real numbers have a reciprocal. Which of the following choices is a counterexample to the statement?
0
1
-7
1/4
Reciprocal of zero is undefined. So all the real numbers do not have the
reciprocal.
What is a reciprocal?The definition of reciprocal in mathematics is the inverse of a value or a number. If n is a real number, then 1/n will be n's reciprocal.
We have the statement,
''All real numbers have a reciprocal''.
To find a counterexample:
The reciprocal of the number zero will always have the value "undefined".
Since there is no number that, when multiplied by zero, produces the result 1.
If n is a real number, then 1/n will be n's reciprocal.
n = 1,
So, the reciprocal of 1 is 1/1 = 1.
n = -7,
So, the reciprocal of -7 is 1/-7= -1/7.
And n = 1/4
So, the reciprocal of 1/4 is 1/(1/4)= 4/1 = 4.
Hence, reciprocal of zero gives us to disprove the statement.
Therefore, All real numbers have the reciprocal, except zero.
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Evaluate and match each expression on the left to its value on the right, when x = 6 and y = 5.
12 + x
3x + y
4y - 10
xy
10
15
18
23
Answer:
Step-by-step explanation:
The values of the expressions 12 + x is 18, 3x + y is 21, 4y - 10 is 14,
xy is 30.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Finding the value of given expression when x = 6 and y = 5 is simply replacing x and y with their numeric values.
Given,
12 + x.
= 12 + 6.
= 18.
3x + y.
= 3(5) + 6.
= 15 + 6.
= 21.
4y - 10.
= 4(6) - 10.
= 24 - 10.
= 14.
xy.
= (5)(6).
= 30.
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What is an equation with the formula of an Acute Angle?
An equation with the formula of an acute angle is a²+b²>c².
What is an acute angle triangle?Triangles can be categorised based on their sides and angles. According to the measurement of angles, a triangle is categorised as acute. A triangle is referred to as an acute triangle if all of its inner angles are smaller than 90°.
In an acute triangle, the following statement holds good for the length of the sides:
a²+b²>c²
b²+c²>a²
c²+a²>b²
Where a, b and c are the sides of a triangle.
Therefore, an equation with the formula of an acute angle is a²+b²>c².
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What can you do to solve the equation x/5 = -2
Answer: x=-10
Step-by-step explanation:
Given that x/5=-2
multiply both sides of equation with 5
(x/5)*(5)=(-2)*(5)
x=-10
How many different flag can be made from 10 colors of cloth if each flag is consist of 3 diffferent stripes?
Answer: 1000 different flags
Step-by-step explanation:
So for the flag there are 10 color options and you need to have 3 different stripes. Where you are able to use a color more than once.
For the first stripe there are 10 options so it can be any of the 10 choices.
For the second option you are able to use any of the 10 colors again so it can be any of the 10 colors.
For the last option for stripe 3 you can pick from ay of the 10 colors so there are 10 color options is could be.
Now that you know the how many choices of color there can be for each stripe you multiple the color choice for each stripe by each other to get the number of combinations for different flags.
colors for stripe 1x colors for stripe 2x colors for stripe 3= # of different flags
10x10x10=1000
so there can be 1000 different 3 stripe flags that can be made with 10 colors
Which values of m
b and b will create a system of equations with no solution? Select two options.
y = mx + b
y=-2x+3/2
Answer:
m = -2; b can be any number other than 3/2
Step-by-step explanation:
There is no solution when the lines are parallel.
To have parallel lines you need equal slopes and different y-intercepts.
Answer: m = -2; b can be any number other than 3/2
Sally has 2 cats and each cat eats of a tin of cat food each day.
Sally buys 7 tins of cat food.
For how many days will the cat food feed her 2 cats?
You must show your working.
days=?
Answer:
Step-by-step explanation:
9 tins of cat food feed her 2 cats for 18 days
Step-by-step explanation:
Sally has 2 cats
food eaten by 1 cat each day =
food eaten by 2 cat each day= tins
sally buys 9 tins of cat food
then
tins required in = 1 day
1 tin required in
i.e 1 tin required in 2 days
9 tin required for = 9×2 = 18 days
hence , 9 tins of cat food feed her 2 cats for 18 days
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Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?
Let f(x) = 5(3)x
The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x).
Choose the equation of g(x).
Responses
g(x) = 10(3)xg(x) = 10(3)x
g(x) = 7(3)xg(x) = 7(3)x
g(x) = 2(3)xg(x) = 2(3)x
g(x) = 5(6)x
The required equation is g(x) = 10(3)x which is the correct answer would be an option (A).
The graph of g(x) is obtained by stretching the graph of f(x) vertically by a factor of 2.
Since the vertical stretch of a graph multiplies the y-coordinates of each point on the graph by a constant factor, the equation of g(x) must be obtained by multiplying the y-coordinate of each point on the graph of f(x) by 2.
In the given equation f(x) = 5(3)x, the y-coordinate of each point on the graph of f(x) is 5(3)x.
Thus, to stretch the graph of f(x) vertically by a factor of 2, we need to multiply this y-coordinate by 2 to get the y-coordinate of the corresponding point on the graph of g(x). This gives us the following equation for g(x):
⇒ g(x) = 2 × 5(3)x = 10(3)x
Therefore, the required equation is g(x) = 10(3)x.
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it cost ayden $1.26 to send 9 text messages. how much does each text cost to send
number of texts x price per text = total price
9 x price per text = 1.26
price per text = 1.26/9
price per text = $0.14
Hope this helps :)
-Jeron
If you need any more help on this just comment
Mrs. Feinman has 20 boxes of markers. Next year, She plans to buy 560% more boxes. How many boxes will she have in all? Group of answer choices
Answer:
112
Step-by-step explanation:
find the surface area of the composite figure 5, 5, 3, 4, 3, 4, 5, 2
The surface area of the composite figure is 186 cm².
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,
Composite figure.
Two boxes.
The surface area of a box.
= 2 x (length x width + length x height + width x height)
Now,
The box on the bottom.
length = 5 cm
Width = 5 cm
Height = 3 cm
Surface area = 2 x (25 + 15 + 15) = 2 x 55 = 110 cm²
The box on the top.
length = 2 cm
Width = 5 cm
Height = 4 cm
Surface area = 2 x (10 + 8 + 20) = 2 x 38 = 76 cm²
Now,
The surface area.
= 110 + 76
= 186 cm²
Thus,
The given composite figure surface area is 186 cm².
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You have some property that has an assessed value of $74,000. If the tax rate is $7.79 per $100 of assessed value, calculate the tax due.
Find percent tax.
7.79/100 * 100
7.79 percent.
Take 7.79 percent of 74,000.
0.0779 * 74,000 = 5764.6
I need help with this. Reasons are below :)
Answer:
2.) definition of vertical angles
3.) the vertical angles theorem
4.) symmetric property of congruence
Marissa's mom purchased coffee from the local coffee shop. The first cup of coffee was $2.95. Each refill is $1.50. She also decided to get a bagel for $2.75. If Marissa's mom had 2 refills and a $0.50 discount as part of the rewards program, how much did she spend at the coffee shop?
$7.20
$7.45
$8.20
$9.45
By evaluating a linear equation, we get that the amount she spent is $ 8.20 at the coffee shop.
What is linear equation explain?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept is called a "linear equation of two variables," where y and x are the variables.
Assuming x refills, the price is $ 2.95 for the initial cup and $ 1.50 for each additional cup.
C(x) = $ 2.95 + $ 1.50 * x
We also know that she chose to purchase a bagel for $2.75 and that she received a $0.50 discount.
By adding these we get
C(x) = $ 2.95 + $ 1.50 * x + $ 2.75 = $ 0.50
C(x) = $5.20 + $ 1.50 * x
Now we want to find that she had 2 refills , then the total cost is
C(2) = $ 5.20 + $ 1.50 * 2
= $ 8.20
Therefore, the total cost she spend at the coffee shop = $ 8.20
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Please help! Provide an answer with an explanation to my question & you will receive a 100 points for one question! :)
Answer:
B
Step-by-step explanation:
Standard deviation is the average distance away from the mean, thus B is correct
The y-intercept of the line y=-4 x-7 is
a. -7
c. 4
b. -4
d. 7
B
A
D
C
The y-intercept of a line is where it meets the y-axis.
This y-axis occurs at x = 0.
Simply input x = 0 into the line y = -4x - 7
y = -4(0) - 7
y = -7
y - intercept (we also like to abbreviate that y-int) = -7
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
Answer: -7
Step-by-step explanation:
Since the answer is already in slope intercept form x=-4 and y = -7
Zachary purchased a computer for $1100 on a payment plan. three months after he purchased the computer, his balance was $710. four months after he purchased the computer, his balance was $580. What is an equation that models the balance y after x months?
Answer:
y = 1,100 - 130x
Step-by-step explanation:
Zachary purchased a computer for $1100 on a payment plan. three months after he purchased the computer, his balance was $710. four months after he purchased the computer, his balance was $580. What is an equation that models the balance y after x months?
(1,100 - 710)/3 = he pays $130 per month
(1,100 - 580)/4 = he pays $130 per month
when balance = y and x = months
y = 1,100 - 130x
Please help, this is on final. I need how you got the answer and what the answer is.
Answer:
Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.
Step-by-step explanation:
Answer:
I can't see it that wel..?m
Are the triangles similaeu, if so write how you know
Answer:
Triangles BAD and CED have angle D in common.
<D is congruent to itself, so <D of triangle BAD is congruent to <D of triangle CED. That is 1 pair of congruent angles.
<A is a right angle. <CED is a right angle.
Theorem: All right angles are congruent.
<A is congruent to <CED. That is a second pair of congruent angles.
By AA Similarity, triangles BAD and CED are similar.
Max draws 2 rectangles each with an area of 24 square centimeters what could be the side lengths of max rectangles
Answer:
see explanation
Step-by-step explanation:
1 rectangle could have the side lengths of 6 and 4
The other could have the side lengths of 8 and 3
(Hope this is what the question asked)